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, 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, 153, 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, 60, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
115, 119, 136, 140, 141, 142, 143, 144, 145, 152, 153, 154, 155, 165, 171, 173, 175, 176, 181, 183, 184, 186,
193, 194, 196, 203, 204, 229, 231, 239, 247, 248, 260, 264, 265, 266, 267, 268, 269, 270, 272, 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, 57, 58, 59, 61, 62, 63, 116, 117, 118, 120, 121, 122, 156,
157, 158, 159, 160, 161, 162, 163, 164, 166, 167, 168, 169, 170, 172, 174, 177, 178, 179, 180,
182, 185, 187, 189, 191, 198, 201, 206, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218,
219, 220, 221, 222, 223, 224, 225, 226, 227, 232, 234, 237, 240, 242, 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, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86,
87, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 123, 124, 125, 126, 127, 128, 129,
130, 131, 132, 133, 134, 135, 137, 138, 139, 146, 147, 148, 149, 150, 151, 188, 190, 192, 195, 197, 199, 200,
202, 205, 207, 228, 230, 233, 235, 236, 238, 241, 243, 244, 245, 246, 249, 250, 251, 252, 253, 254, 255,
256, 257, 258, 259, 261, 262, 263, 271, 273, 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, 41, 43, 51, 56, 57, 58, 59, 60, 61, 62, 63, 66, 67, 88, 89, 90, 92, 93, 96, 97, 98,
99, 100, 112, 113, 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, 42, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 64, 65, 68, 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, 114, 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, 92,
93, 94, 96, 97, 98, 99, 100, 101, 115, 119, 129, 133, 134, 142, 165, 171, 173, 175, 181, 184, 185, 192, 193,
201, 203, 211, 224, 246, 247, 248, 253, 274, 276, 301, 302, 303, 304, 311, 315, 319, 323, 324, 331, 336, 366,
367 }
B grade: { 95, 158, 159, 160, 161, 162, 163, 164, 172, 174, 176, 182, 183, 186, 208, 209, 210, 213, 214,
215, 216, 217, 218, 219, 220, 221, 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, 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, 130,
131, 132, 135, 136, 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, 212, 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, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 275, 277,
278, 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: { 3, 4, 5, 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, 152, 153, 154, 155, 156,
157, 167, 171, 173, 174, 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, 2, 45, 100, 104, 131, 132, 135, 140, 141, 142, 143, 144, 145, 158, 159, 160, 161, 162, 163,
164, 165, 166, 168, 169, 170, 172, 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, 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, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300,
325, 326, 327, 328, 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 |
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grade |
A |
A |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 21 | 11 | 14 | 23 | 12 | 35 |
normalized size | 1 | 1. | 2.1 | 1.1 | 1.4 | 2.3 | 1.2 | 3.5 |
time (sec) |
N/A |
0.006 |
0.011 |
0.002 |
1.097 |
1.958 |
0.166 |
1.437 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 23 | 27 | 43 | 59 | 46 | 65 |
normalized size | 1 | 1. | 0.92 | 1.08 | 1.72 | 2.36 | 1.84 | 2.6 |
time (sec) |
N/A |
0.009 |
0.024 |
0.006 |
1.08 |
2.06 |
0.262 |
1.326 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 29 | 23 | 73 | 105 | 36 | 65 |
normalized size | 1 | 1. | 1.07 | 0.85 | 2.7 | 3.89 | 1.33 | 2.41 |
time (sec) |
N/A |
0.014 |
0.012 |
0.009 |
1.098 |
1.956 |
0.564 |
1.462 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 33 | 39 | 81 | 134 | 95 | 92 |
normalized size | 1 | 1. | 0.72 | 0.85 | 1.76 | 2.91 | 2.07 | 2. |
time (sec) |
N/A |
0.021 |
0.04 |
0.039 |
1.113 |
2.228 |
1.217 |
1.42 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 44 | 33 | 111 | 221 | 58 | 95 |
normalized size | 1 | 1. | 1.07 | 0.8 | 2.71 | 5.39 | 1.41 | 2.32 |
time (sec) |
N/A |
0.017 |
0.014 |
0.039 |
1.106 |
2.22 |
2.349 |
1.362 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 43 | 49 | 116 | 248 | 139 | 124 |
normalized size | 1 | 1. | 0.64 | 0.73 | 1.73 | 3.7 | 2.07 | 1.85 |
time (sec) |
N/A |
0.033 |
0.038 |
0.037 |
1.043 |
1.994 |
4.711 |
1.412 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 75 | 116 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
1.13 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.14 |
0.074 |
0. |
0. |
0. |
0. |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 68 | 164 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
2.05 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.032 |
0.073 |
0.039 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 83 | 100 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 1.25 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.032 |
0.087 |
0.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 50 | 108 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 2. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.102 |
0.036 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 48 | 87 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.89 | 1.61 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.114 |
0.036 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 57 | 154 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.75 | 2.03 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.029 |
0.052 |
0.039 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 86 | 101 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.08 | 1.26 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.032 |
0.078 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 73 | 192 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
1.86 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.044 |
0.161 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 76 | 122 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.05 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.058 |
0.27 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 68 | 170 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.77 |
1.93 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.12 |
0.047 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 88 | 106 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.2 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.037 |
0.125 |
0.04 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 52 | 111 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 1.98 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.022 |
0.045 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 54 | 89 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.96 | 1.59 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.022 |
0.034 |
0.034 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 62 | 159 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.72 | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.062 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 84 | 114 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 1.27 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.095 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 79 | 205 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.67 |
1.74 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.056 |
0.163 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 65 | 122 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
1.34 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.034 |
0.164 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 55 | 169 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
2.73 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.02 |
0.059 |
0.05 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 94 | 104 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.52 | 1.68 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.021 |
0.135 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 28 | 91 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 3.03 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.02 |
0.045 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 28 | 68 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 2.27 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.023 |
0.038 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 50 | 159 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 2.74 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.094 |
0.052 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 83 | 113 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.34 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.059 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 80 | 204 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
2.24 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.033 |
0.13 |
0.054 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.015 |
0.053 |
0.024 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.036 |
0.073 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.034 |
0.059 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
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Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.04 |
0.046 |
0. |
0. |
0. |
0. |
|
|
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Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.038 |
0.04 |
0. |
0. |
0. |
0. |
|
|
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Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.037 |
0.023 |
0. |
0. |
0. |
0. |
|
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Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 65 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.045 |
0.18 |
0. |
0. |
0. |
0. |
|
|
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Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.04 |
0.143 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.04 |
0.143 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
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|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 134 | 138 | 80 | 192 | 58 | 68 |
normalized size | 1 | 1. | 2.91 | 3. | 1.74 | 4.17 | 1.26 | 1.48 |
time (sec) |
N/A |
0.065 |
0.183 |
0.039 |
1.261 |
2.084 |
0.422 |
1.363 |
|
|
|
|
|
|
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|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 41 | 93 | 61 | 153 | 41 | 51 |
normalized size | 1 | 1. | 1.14 | 2.58 | 1.69 | 4.25 | 1.14 | 1.42 |
time (sec) |
N/A |
0.046 |
0.106 |
0.034 |
1.164 |
2.036 |
0.31 |
1.391 |
|
|
|
|
|
|
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|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 79 | 52 | 45 | 103 | 20 | 35 |
normalized size | 1 | 1. | 3.59 | 2.36 | 2.05 | 4.68 | 0.91 | 1.59 |
time (sec) |
N/A |
0.059 |
0.106 |
0.031 |
1.102 |
2.015 |
0.212 |
1.315 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 43 | 29 | 16 | 42 | 8 | 14 |
normalized size | 1 | 1. | 3.07 | 2.07 | 1.14 | 3. | 0.57 | 1. |
time (sec) |
N/A |
0.027 |
0.054 |
0.023 |
1.154 |
2.077 |
0.157 |
1.298 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 30 | 21 | 39 | 97 | 0 | 32 |
normalized size | 1 | 1. | 1.58 | 1.11 | 2.05 | 5.11 | 0. | 1.68 |
time (sec) |
N/A |
0.039 |
0.019 |
0.028 |
1.19 |
2.12 |
0. |
1.414 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 36 | 35 | 72 | 208 | 0 | 59 |
normalized size |
1 |
1. |
1.57 |
1.52 |
3.13 |
9.04 |
0. |
2.57 |
time (sec) |
N/A |
0.058 |
0.039 |
0.028 |
1.235 |
2.102 |
0. |
1.502 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 49 | 53 | 107 | 385 | 0 | 69 |
normalized size |
1 |
1. |
1.32 |
1.43 |
2.89 |
10.41 |
0. |
1.86 |
time (sec) |
N/A |
0.073 |
0.177 |
0.031 |
1.13 |
2.168 |
0. |
1.298 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 53 | 71 | 142 | 545 | 0 | 78 |
normalized size |
1 |
1. |
1.13 |
1.51 |
3.02 |
11.6 |
0. |
1.66 |
time (sec) |
N/A |
0.073 |
0.216 |
0.035 |
1.183 |
2.059 |
0. |
1.259 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 147 | 116 | 96 | 275 | 68 | 68 |
normalized size | 1 | 1. | 2.53 | 2. | 1.66 | 4.74 | 1.17 | 1.17 |
time (sec) |
N/A |
0.102 |
0.185 |
0.055 |
1.235 |
2.035 |
0.531 |
1.383 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 45 | 75 | 80 | 217 | 53 | 51 |
normalized size | 1 | 1. | 1.02 | 1.7 | 1.82 | 4.93 | 1.2 | 1.16 |
time (sec) |
N/A |
0.129 |
0.12 |
0.05 |
1.314 |
2.06 |
0.401 |
1.384 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 55 | 52 | 54 | 150 | 39 | 30 |
normalized size | 1 | 1. | 1.72 | 1.62 | 1.69 | 4.69 | 1.22 | 0.94 |
time (sec) |
N/A |
0.061 |
0.141 |
0.045 |
1.218 |
2.074 |
0.304 |
1.323 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 22 | 25 | 109 | 95 | 36 | 27 |
normalized size | 1 | 1. | 0.71 | 0.81 | 3.52 | 3.06 | 1.16 | 0.87 |
time (sec) |
N/A |
0.03 |
0.009 |
0.033 |
1.216 |
1.985 |
0.262 |
1.308 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 91 | 44 | 74 | 240 | 0 | 46 |
normalized size |
1 |
1. |
2.68 |
1.29 |
2.18 |
7.06 |
0. |
1.35 |
time (sec) |
N/A |
0.083 |
0.087 |
0.039 |
1.226 |
2.092 |
0. |
1.365 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 88 | 58 | 109 | 404 | 0 | 62 |
normalized size |
1 |
1. |
2.1 |
1.38 |
2.6 |
9.62 |
0. |
1.48 |
time (sec) |
N/A |
0.117 |
0.355 |
0.043 |
1.239 |
2.042 |
0. |
1.321 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 131 | 76 | 142 | 578 | 0 | 80 |
normalized size |
1 |
1. |
2.26 |
1.31 |
2.45 |
9.97 |
0. |
1.38 |
time (sec) |
N/A |
0.14 |
0.311 |
0.047 |
1.233 |
2.11 |
0. |
1.366 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 143 | 92 | 174 | 730 | 0 | 113 |
normalized size |
1 |
1. |
2.23 |
1.44 |
2.72 |
11.41 |
0. |
1.77 |
time (sec) |
N/A |
0.131 |
1.529 |
0.046 |
1.279 |
2.11 |
0. |
1.361 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 42 | 20 | 27 | 36 | 19 | 20 |
normalized size | 1 | 1. | 1.56 | 0.74 | 1. | 1.33 | 0.7 | 0.74 |
time (sec) |
N/A |
0.011 |
0.061 |
0.017 |
1.185 |
1.961 |
0.273 |
1.359 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 61 | 55 | 127 | 128 | 63 | 34 |
normalized size | 1 | 1. | 1.03 | 0.93 | 2.15 | 2.17 | 1.07 | 0.58 |
time (sec) |
N/A |
0.026 |
0.1 |
0.035 |
1.146 |
1.993 |
0.965 |
1.331 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 81 | 88 | 285 | 235 | 114 | 49 |
normalized size | 1 | 1. | 0.92 | 1. | 3.24 | 2.67 | 1.3 | 0.56 |
time (sec) |
N/A |
0.042 |
0.12 |
0.046 |
1.062 |
1.981 |
2.867 |
1.371 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 117 | 87 | 121 | 502 | 338 | 156 | 63 |
normalized size | 1 | 1. | 0.74 | 1.03 | 4.29 | 2.89 | 1.33 | 0.54 |
time (sec) |
N/A |
0.06 |
0.164 |
0.049 |
1.186 |
2.072 |
6.287 |
1.434 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 42 | 20 | 27 | 38 | 20 | 20 |
normalized size | 1 | 1. | 1.56 | 0.74 | 1. | 1.41 | 0.74 | 0.74 |
time (sec) |
N/A |
0.012 |
0.064 |
0.02 |
1.15 |
1.948 |
0.263 |
1.366 |
|
|
|
|
|
|
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|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 59 | 55 | 127 | 128 | 63 | 34 |
normalized size | 1 | 1. | 1. | 0.93 | 2.15 | 2.17 | 1.07 | 0.58 |
time (sec) |
N/A |
0.027 |
0.071 |
0.033 |
1.103 |
1.939 |
0.935 |
1.367 |
|
|
|
|
|
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|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 81 | 88 | 285 | 234 | 114 | 49 |
normalized size | 1 | 1. | 0.92 | 1. | 3.24 | 2.66 | 1.3 | 0.56 |
time (sec) |
N/A |
0.042 |
0.119 |
0.039 |
1.069 |
2.018 |
2.827 |
1.391 |
|
|
|
|
|
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|
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|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 117 | 87 | 121 | 502 | 338 | 156 | 63 |
normalized size | 1 | 1. | 0.74 | 1.03 | 4.29 | 2.89 | 1.33 | 0.54 |
time (sec) |
N/A |
0.06 |
0.15 |
0.043 |
1.164 |
1.964 |
6.256 |
1.39 |
|
|
|
|
|
|
|
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|
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|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 75 | 0 | 0 | 501 | 0 | 0 |
normalized size | 1 | 1. | 1.32 | 0. | 0. | 8.79 | 0. | 0. |
time (sec) |
N/A |
0.056 |
0.074 |
0.355 |
0. |
2.13 |
0. |
0. |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 76 | 0 | 0 | 506 | 0 | 0 |
normalized size | 1 | 1. | 1.33 | 0. | 0. | 8.88 | 0. | 0. |
time (sec) |
N/A |
0.056 |
0.077 |
0.304 |
0. |
2.105 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 145 | 0 | 0 | 360 | 0 | 0 |
normalized size |
1 |
1. |
1.39 |
0. |
0. |
3.46 |
0. |
0. |
time (sec) |
N/A |
0.053 |
0.453 |
0.14 |
0. |
1.984 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 113 | 0 | 0 | 259 | 0 | 0 |
normalized size |
1 |
1. |
1.64 |
0. |
0. |
3.75 |
0. |
0. |
time (sec) |
N/A |
0.031 |
0.206 |
0.119 |
0. |
1.984 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 74 | 89 | 0 | 170 | 0 | 0 |
normalized size | 1 | 1. | 2.39 | 2.87 | 0. | 5.48 | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.041 |
0.125 |
0. |
2.007 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 84 | 0 | 0 | 518 | 0 | 0 |
normalized size | 1 | 1. | 1.62 | 0. | 0. | 9.96 | 0. | 0. |
time (sec) |
N/A |
0.024 |
0.085 |
0.506 |
0. |
2.113 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 156 | 0 | 0 | 1044 | 0 | 0 |
normalized size | 1 | 1. | 1.79 | 0. | 0. | 12. | 0. | 0. |
time (sec) |
N/A |
0.045 |
0.226 |
0.118 |
0. |
2.193 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 210 | 0 | 0 | 1395 | 0 | 0 |
normalized size |
1 |
1. |
1.72 |
0. |
0. |
11.43 |
0. |
0. |
time (sec) |
N/A |
0.068 |
0.196 |
0.118 |
0. |
2.219 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 105 | 262 | 0 | 1947 | 0 | 211 |
normalized size |
1 |
1. |
0.97 |
2.43 |
0. |
18.03 |
0. |
1.95 |
time (sec) |
N/A |
0.315 |
0.431 |
0.027 |
0. |
2.221 |
0. |
1.347 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 82 | 174 | 0 | 1142 | 0 | 158 |
normalized size |
1 |
1. |
1. |
2.12 |
0. |
13.93 |
0. |
1.93 |
time (sec) |
N/A |
0.185 |
0.136 |
0.026 |
0. |
2.093 |
0. |
1.4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 61 | 92 | 0 | 640 | 0 | 116 |
normalized size |
1 |
1. |
1.07 |
1.61 |
0. |
11.23 |
0. |
2.04 |
time (sec) |
N/A |
0.116 |
0.093 |
0.022 |
0. |
2.149 |
0. |
1.484 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 52 | 63 | 0 | 367 | 296 | 90 |
normalized size |
1 |
1. |
1.11 |
1.34 |
0. |
7.81 |
6.3 |
1.91 |
time (sec) |
N/A |
0.061 |
0.05 |
0.015 |
0. |
2.03 |
96.174 |
1.37 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 58 | 49 | 0 | 456 | 0 | 111 |
normalized size |
1 |
1. |
1.16 |
0.98 |
0. |
9.12 |
0. |
2.22 |
time (sec) |
N/A |
0.076 |
0.049 |
0.022 |
0. |
2.231 |
0. |
1.383 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 81 | 73 | 0 | 926 | 0 | 132 |
normalized size |
1 |
1. |
1.37 |
1.24 |
0. |
15.69 |
0. |
2.24 |
time (sec) |
N/A |
0.121 |
0.402 |
0.027 |
0. |
2.408 |
0. |
1.388 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 118 | 108 | 0 | 2288 | 0 | 185 |
normalized size |
1 |
1. |
1.46 |
1.33 |
0. |
28.25 |
0. |
2.28 |
time (sec) |
N/A |
0.318 |
0.538 |
0.03 |
0. |
2.96 |
0. |
1.419 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 186 | 158 | 0 | 3970 | 0 | 231 |
normalized size |
1 |
1. |
1.71 |
1.45 |
0. |
36.42 |
0. |
2.12 |
time (sec) |
N/A |
0.491 |
0.934 |
0.031 |
0. |
3.069 |
0. |
1.448 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 118 | 296 | 0 | 4020 | 0 | 317 |
normalized size |
1 |
1. |
0.73 |
1.83 |
0. |
24.81 |
0. |
1.96 |
time (sec) |
N/A |
0.405 |
0.407 |
0.048 |
0. |
2.785 |
0. |
1.422 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 95 | 213 | 0 | 2426 | 0 | 248 |
normalized size |
1 |
1. |
0.83 |
1.85 |
0. |
21.1 |
0. |
2.16 |
time (sec) |
N/A |
0.238 |
0.352 |
0.04 |
0. |
2.489 |
0. |
1.354 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 86 | 175 | 0 | 1245 | 0 | 177 |
normalized size |
1 |
1. |
1.04 |
2.11 |
0. |
15. |
0. |
2.13 |
time (sec) |
N/A |
0.134 |
0.178 |
0.033 |
0. |
2.245 |
0. |
1.452 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 68 | 97 | 0 | 855 | 0 | 134 |
normalized size |
1 |
1. |
1.13 |
1.62 |
0. |
14.25 |
0. |
2.23 |
time (sec) |
N/A |
0.074 |
0.101 |
0.02 |
0. |
2.086 |
0. |
1.392 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 91 | 166 | 0 | 1632 | 0 | 192 |
normalized size |
1 |
1. |
1.07 |
1.95 |
0. |
19.2 |
0. |
2.26 |
time (sec) |
N/A |
0.216 |
0.181 |
0.039 |
0. |
3.46 |
0. |
1.483 |
|
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Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 118 | 193 | 0 | 4055 | 0 | 277 |
normalized size |
1 |
1. |
1.03 |
1.68 |
0. |
35.26 |
0. |
2.41 |
time (sec) |
N/A |
0.372 |
0.649 |
0.047 |
0. |
3.558 |
0. |
1.402 |
|
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Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 156 | 227 | 0 | 8699 | 0 | 274 |
normalized size |
1 |
1. |
0.99 |
1.44 |
0. |
55.06 |
0. |
1.73 |
time (sec) |
N/A |
0.675 |
0.71 |
0.052 |
0. |
5.241 |
0. |
1.585 |
|
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Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 214 | 277 | 0 | 14660 | 0 | 319 |
normalized size |
1 |
1. |
1.08 |
1.4 |
0. |
74.04 |
0. |
1.61 |
time (sec) |
N/A |
0.884 |
0.956 |
0.052 |
0. |
5.533 |
0. |
1.859 |
|
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Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 81 | 42 | 26 | 104 | 34 | 45 |
normalized size | 1 | 1. | 1.11 | 0.58 | 0.36 | 1.42 | 0.47 | 0.62 |
time (sec) |
N/A |
0.028 |
0.034 |
0.023 |
1.685 |
2.563 |
0.614 |
1.682 |
|
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Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 142 | 82 | 107 | 323 | 87 | 96 |
normalized size | 1 | 1. | 1.39 | 0.8 | 1.05 | 3.17 | 0.85 | 0.94 |
time (sec) |
N/A |
0.051 |
0.246 |
0.043 |
1.6 |
2.183 |
1.174 |
1.607 |
|
|
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Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 204 | 124 | 167 | 625 | 156 | 126 |
normalized size | 1 | 1. | 1.56 | 0.95 | 1.27 | 4.77 | 1.19 | 0.96 |
time (sec) |
N/A |
0.085 |
0.485 |
0.051 |
1.677 |
2.193 |
2.557 |
1.307 |
|
|
|
|
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Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 160 | 160 | 265 | 164 | 225 | 972 | 223 | 155 |
normalized size | 1 | 1. | 1.66 | 1.02 | 1.41 | 6.08 | 1.39 | 0.97 |
time (sec) |
N/A |
0.126 |
0.58 |
0.053 |
1.689 |
2.212 |
5.194 |
1.292 |
|
|
|
|
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Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 171 | 44 | 49 | 80 | 31 | 42 |
normalized size | 1 | 1. | 4.62 | 1.19 | 1.32 | 2.16 | 0.84 | 1.14 |
time (sec) |
N/A |
0.013 |
0.034 |
0.023 |
1.761 |
2.026 |
0.599 |
1.245 |
|
|
|
|
|
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Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 183 | 134 | 86 | 298 | 88 | 93 |
normalized size | 1 | 1. | 2.77 | 2.03 | 1.3 | 4.52 | 1.33 | 1.41 |
time (sec) |
N/A |
0.035 |
0.228 |
0.043 |
1.782 |
2.086 |
1.117 |
1.246 |
|
|
|
|
|
|
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Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 277 | 224 | 146 | 594 | 158 | 123 |
normalized size | 1 | 1. | 2.92 | 2.36 | 1.54 | 6.25 | 1.66 | 1.29 |
time (sec) |
N/A |
0.067 |
0.648 |
0.05 |
1.601 |
2.103 |
2.603 |
1.272 |
|
|
|
|
|
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Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 308 | 314 | 205 | 946 | 219 | 153 |
normalized size | 1 | 1. | 2.48 | 2.53 | 1.65 | 7.63 | 1.77 | 1.23 |
time (sec) |
N/A |
0.102 |
1.768 |
0.052 |
1.713 |
2.173 |
5.23 |
1.293 |
|
|
|
|
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Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 183 | 138 | 155 | 367 | 548 | 314 | 366 |
normalized size | 1 | 1. | 0.75 | 0.85 | 2.01 | 2.99 | 1.72 | 2. |
time (sec) |
N/A |
0.273 |
0.658 |
0.023 |
1.1 |
1.998 |
3.094 |
1.27 |
|
|
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Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 137 | 108 | 119 | 246 | 358 | 240 | 261 |
normalized size | 1 | 1. | 0.79 | 0.87 | 1.8 | 2.61 | 1.75 | 1.91 |
time (sec) |
N/A |
0.156 |
0.394 |
0.016 |
1.107 |
2.06 |
1.481 |
1.181 |
|
|
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Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 71 | 77 | 155 | 225 | 128 | 173 |
normalized size | 1 | 1. | 0.77 | 0.84 | 1.68 | 2.45 | 1.39 | 1.88 |
time (sec) |
N/A |
0.073 |
0.175 |
0.017 |
1.027 |
1.942 |
0.753 |
1.322 |
|
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Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 48 | 51 | 74 | 112 | 78 | 99 |
normalized size | 1 | 1. | 0.92 | 0.98 | 1.42 | 2.15 | 1.5 | 1.9 |
time (sec) |
N/A |
0.017 |
0.081 |
0.012 |
1.096 |
1.999 |
0.345 |
1.254 |
|
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Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 26 | 16 | 20 | 39 | 17 | 42 |
normalized size | 1 | 1. | 1.73 | 1.07 | 1.33 | 2.6 | 1.13 | 2.8 |
time (sec) |
N/A |
0.01 |
0.009 |
0.003 |
1.038 |
2. |
0.167 |
1.242 |
|
|
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Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 52 | 43 | 0 | 424 | 189 | 90 |
normalized size |
1 |
1. |
1.18 |
0.98 |
0. |
9.64 |
4.3 |
2.05 |
time (sec) |
N/A |
0.036 |
0.036 |
0.015 |
0. |
1.995 |
20.61 |
1.192 |
|
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Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 85 | 118 | 0 | 1041 | 0 | 180 |
normalized size |
1 |
1. |
1.08 |
1.49 |
0. |
13.18 |
0. |
2.28 |
time (sec) |
N/A |
0.063 |
0.259 |
0.034 |
0. |
2.106 |
0. |
1.353 |
|
|
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Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 117 | 280 | 0 | 3005 | 0 | 319 |
normalized size |
1 |
1. |
0.92 |
2.2 |
0. |
23.66 |
0. |
2.51 |
time (sec) |
N/A |
0.122 |
0.272 |
0.049 |
0. |
2.659 |
0. |
1.311 |
|
|
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Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 174 | 174 | 159 | 494 | 0 | 6620 | 0 | 491 |
normalized size |
1 |
1. |
0.91 |
2.84 |
0. |
38.05 |
0. |
2.82 |
time (sec) |
N/A |
0.22 |
0.692 |
0.056 |
0. |
2.751 |
0. |
1.242 |
|
|
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Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 179 | 179 | 178 | 917 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.99 |
5.12 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.258 |
0.413 |
0.155 |
0. |
0. |
0. |
0. |
|
|
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Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 150 | 150 | 139 | 676 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 4.51 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.166 |
0.378 |
0.079 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 65 | 262 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.08 | 4.37 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.037 |
0.187 |
0.078 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 60 | 125 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.08 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.037 |
0.186 |
0.075 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
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Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 81 | 456 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 4.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.06 |
0.15 |
0.095 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 197 | 197 | 166 | 438 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.84 | 2.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.212 |
0.618 |
0.147 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 101 | 218 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.79 | 1.7 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.114 |
0.352 |
0.079 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 100 | 0 | 0 | 414 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
0. |
0. |
3.7 |
0. |
0. |
time (sec) |
N/A |
0.1 |
0.349 |
0.121 |
0. |
1.818 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 83 | 0 | 0 | 294 | 0 | 0 |
normalized size |
1 |
1. |
1.02 |
0. |
0. |
3.63 |
0. |
0. |
time (sec) |
N/A |
0.081 |
0.215 |
0.108 |
0. |
1.765 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 66 | 0 | 0 | 189 | 0 | 0 |
normalized size | 1 | 1. | 1.38 | 0. | 0. | 3.94 | 0. | 0. |
time (sec) |
N/A |
0.054 |
0.074 |
0.108 |
0. |
1.728 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 53 | 46 | 35 | 58 | 15 | 23 |
normalized size | 1 | 1. | 2.3 | 2. | 1.52 | 2.52 | 0.65 | 1. |
time (sec) |
N/A |
0.038 |
0.233 |
0.03 |
1.263 |
1.803 |
0.217 |
1.318 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 32 | 52 | 190 | 119 | 0 | 43 |
normalized size |
1 |
1. |
0.74 |
1.21 |
4.42 |
2.77 |
0. |
1. |
time (sec) |
N/A |
0.042 |
0.03 |
0.024 |
1.167 |
1.706 |
0. |
1.263 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 50 | 91 | 378 | 209 | 0 | 62 |
normalized size |
1 |
1. |
0.74 |
1.34 |
5.56 |
3.07 |
0. |
0.91 |
time (sec) |
N/A |
0.054 |
0.037 |
0.029 |
1.278 |
1.623 |
0. |
1.208 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 67 | 128 | 632 | 305 | 0 | 81 |
normalized size |
1 |
1. |
0.74 |
1.41 |
6.95 |
3.35 |
0. |
0.89 |
time (sec) |
N/A |
0.068 |
0.049 |
0.03 |
1.309 |
1.836 |
0. |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 59 | 46 | 36 | 59 | 15 | 24 |
normalized size | 1 | 1. | 2.19 | 1.7 | 1.33 | 2.19 | 0.56 | 0.89 |
time (sec) |
N/A |
0.043 |
0.075 |
0.03 |
1.197 |
1.72 |
0.21 |
1.291 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 32 | 52 | 190 | 119 | 0 | 43 |
normalized size |
1 |
1. |
0.65 |
1.06 |
3.88 |
2.43 |
0. |
0.88 |
time (sec) |
N/A |
0.044 |
0.028 |
0.024 |
1.308 |
1.801 |
0. |
1.292 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 92 | 91 | 379 | 208 | 0 | 62 |
normalized size |
1 |
1. |
1.21 |
1.2 |
4.99 |
2.74 |
0. |
0.82 |
time (sec) |
N/A |
0.059 |
0.215 |
0.035 |
1.269 |
1.733 |
0. |
1.338 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 63 | 128 | 632 | 304 | 0 | 81 |
normalized size |
1 |
1. |
0.62 |
1.27 |
6.26 |
3.01 |
0. |
0.8 |
time (sec) |
N/A |
0.07 |
0.049 |
0.033 |
1.503 |
1.723 |
0. |
1.286 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 85 | 0 | 0 | 738 | 0 | 0 |
normalized size | 1 | 1. | 1.29 | 0. | 0. | 11.18 | 0. | 0. |
time (sec) |
N/A |
0.066 |
0.119 |
0.11 |
0. |
1.806 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 105 | 0 | 0 | 936 | 0 | 0 |
normalized size |
1 |
1. |
1.33 |
0. |
0. |
11.85 |
0. |
0. |
time (sec) |
N/A |
0.077 |
0.23 |
0.088 |
0. |
1.931 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 184 | 0 | 0 | 1218 | 0 | 0 |
normalized size |
1 |
1. |
1.67 |
0. |
0. |
11.07 |
0. |
0. |
time (sec) |
N/A |
0.1 |
0.212 |
0.092 |
0. |
1.947 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 259 | 259 | 241 | 1893 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.93 |
7.31 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.446 |
0.771 |
0.108 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 207 | 207 | 196 | 1037 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 5.01 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.311 |
0.55 |
0.157 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 151 | 897 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.92 | 5.47 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.212 |
0.401 |
0.093 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 61 | 101 | 0 | 387 | 469 | 101 |
normalized size |
1 |
1. |
1.11 |
1.84 |
0. |
7.04 |
8.53 |
1.84 |
time (sec) |
N/A |
0.075 |
0.102 |
0.02 |
0. |
1.879 |
97.36 |
1.229 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 82 | 113 | 0 | 1065 | 0 | 161 |
normalized size |
1 |
1. |
1.11 |
1.53 |
0. |
14.39 |
0. |
2.18 |
time (sec) |
N/A |
0.083 |
0.153 |
0.026 |
0. |
1.886 |
0. |
1.369 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 131 | 314 | 0 | 3617 | 0 | 377 |
normalized size |
1 |
1. |
1.02 |
2.45 |
0. |
28.26 |
0. |
2.95 |
time (sec) |
N/A |
0.175 |
0.27 |
0.036 |
0. |
2.035 |
0. |
1.275 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 187 | 187 | 189 | 633 | 0 | 8690 | 0 | 644 |
normalized size |
1 |
1. |
1.01 |
3.39 |
0. |
46.47 |
0. |
3.44 |
time (sec) |
N/A |
0.325 |
0.461 |
0.041 |
0. |
2.334 |
0. |
1.297 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 66 | 105 | 0 | 398 | 350 | 111 |
normalized size |
1 |
1. |
1.1 |
1.75 |
0. |
6.63 |
5.83 |
1.85 |
time (sec) |
N/A |
0.084 |
0.069 |
0.02 |
0. |
1.784 |
103.155 |
1.265 |
|
|
|
|
|
|
|
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Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 6 | 6 | 6 | 7 | 0 | 9 | 3 | 8 |
normalized size |
1 |
1. |
1. |
1.17 |
0. |
1.5 |
0.5 |
1.33 |
time (sec) |
N/A |
0.001 |
0. |
0.002 |
0. |
1.72 |
0.438 |
1.163 |
|
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Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 36 | 0 | 158 | 0 | 41 |
normalized size |
1 |
1. |
1. |
3. |
0. |
13.17 |
0. |
3.42 |
time (sec) |
N/A |
0.032 |
0.035 |
0.029 |
0. |
1.633 |
0. |
1.233 |
|
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Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 28 | 37 | 46 | 139 | 0 | 45 |
normalized size |
1 |
1. |
0.82 |
1.09 |
1.35 |
4.09 |
0. |
1.32 |
time (sec) |
N/A |
0.037 |
0.086 |
0.016 |
1.567 |
1.753 |
0. |
1.206 |
|
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Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 109 | 266 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.8 | 1.96 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.12 |
0.503 |
0.092 |
0. |
0. |
0. |
0. |
|
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Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 159 | 517 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
2.94 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.227 |
0.618 |
0.163 |
0. |
0. |
0. |
0. |
|
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Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 251 | 251 | 236 | 806 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.94 |
3.21 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.335 |
0.777 |
0.239 |
0. |
0. |
0. |
0. |
|
|
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Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 36 | 32 | 72 | 1462 | 0 | 162 |
normalized size |
1 |
1. |
0.68 |
0.6 |
1.36 |
27.58 |
0. |
3.06 |
time (sec) |
N/A |
0.037 |
0.041 |
0.045 |
1.815 |
1.785 |
0. |
1.313 |
|
|
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Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 26 | 24 | 47 | 672 | 0 | 95 |
normalized size | 1 | 1. | 0.76 | 0.71 | 1.38 | 19.76 | 0. | 2.79 |
time (sec) |
N/A |
0.024 |
0.036 |
0.035 |
1.818 |
1.799 |
0. |
1.186 |
|
|
|
|
|
|
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|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 15 | 23 | 216 | 19 | 46 |
normalized size | 1 | 1. | 1. | 1.15 | 1.77 | 16.62 | 1.46 | 3.54 |
time (sec) |
N/A |
0.013 |
0.005 |
0.03 |
1.829 |
1.743 |
0.61 |
1.199 |
|
|
|
|
|
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Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 20 | 49 | 32 | 312 | 0 | 61 |
normalized size | 1 | 1. | 1.18 | 2.88 | 1.88 | 18.35 | 0. | 3.59 |
time (sec) |
N/A |
0.013 |
0.006 |
0.053 |
1.809 |
1.714 |
0. |
1.262 |
|
|
|
|
|
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Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 44 | 71 | 84 | 927 | 0 | 127 |
normalized size | 1 | 1. | 1.05 | 1.69 | 2. | 22.07 | 0. | 3.02 |
time (sec) |
N/A |
0.026 |
0.038 |
0.05 |
1.755 |
1.811 |
0. |
1.338 |
|
|
|
|
|
|
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Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 67 | 89 | 130 | 2514 | 0 | 149 |
normalized size | 1 | 1. | 1.1 | 1.46 | 2.13 | 41.21 | 0. | 2.44 |
time (sec) |
N/A |
0.037 |
0.1 |
0.053 |
1.827 |
1.963 |
0. |
1.364 |
|
|
|
|
|
|
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|
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|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 67 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.5 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.061 |
0.183 |
0.076 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
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|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.69 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.044 |
0.064 |
0.06 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
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|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.97 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.083 |
0.065 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
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|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 42 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.7 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.03 |
0.065 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
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|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 53 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.61 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.042 |
0.082 |
0.062 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
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|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 69 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.51 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.061 |
0.196 |
0.06 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 53 | 177 | 135 | 4963 | 0 | 154 |
normalized size |
1 |
1. |
0.4 |
1.34 |
1.02 |
37.6 |
0. |
1.17 |
time (sec) |
N/A |
0.049 |
0.159 |
0.115 |
1.737 |
2.053 |
0. |
1.273 |
|
|
|
|
|
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|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 38 | 131 | 85 | 2068 | 0 | 68 |
normalized size | 1 | 1. | 0.49 | 1.68 | 1.09 | 26.51 | 0. | 0.87 |
time (sec) |
N/A |
0.032 |
0.091 |
0.091 |
1.776 |
1.845 |
0. |
1.209 |
|
|
|
|
|
|
|
|
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|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 24 | 90 | 36 | 551 | 0 | 35 |
normalized size | 1 | 1. | 0.67 | 2.5 | 1. | 15.31 | 0. | 0.97 |
time (sec) |
N/A |
0.015 |
0.038 |
0.095 |
1.873 |
1.79 |
0. |
1.226 |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 56 | 24 | 338 | 0 | 18 |
normalized size | 1 | 1. | 1. | 3.5 | 1.5 | 21.12 | 0. | 1.12 |
time (sec) |
N/A |
0.014 |
0.006 |
0.083 |
1.785 |
1.68 |
0. |
1.316 |
|
|
|
|
|
|
|
|
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|
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|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 34 | 80 | 231 | 3163 | 0 | 47 |
normalized size | 1 | 1. | 0.5 | 1.18 | 3.4 | 46.51 | 0. | 0.69 |
time (sec) |
N/A |
0.022 |
0.038 |
0.086 |
1.94 |
2.04 |
0. |
1.272 |
|
|
|
|
|
|
|
|
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|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 47 | 96 | 630 | 9072 | 0 | 72 |
normalized size | 1 | 1. | 0.4 | 0.81 | 5.34 | 76.88 | 0. | 0.61 |
time (sec) |
N/A |
0.033 |
0.058 |
0.086 |
2.016 |
2.564 |
0. |
1.392 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 219 | 292 | 122 | 301 | 124 | 116 |
normalized size | 1 | 1. | 4.38 | 5.84 | 2.44 | 6.02 | 2.48 | 2.32 |
time (sec) |
N/A |
0.055 |
0.151 |
0.066 |
1.354 |
1.891 |
0.73 |
1.2 |
|
|
|
|
|
|
|
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|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 42 | 142 | 101 | 240 | 100 | 96 |
normalized size | 1 | 1. | 0.98 | 3.3 | 2.35 | 5.58 | 2.33 | 2.23 |
time (sec) |
N/A |
0.045 |
0.03 |
0.057 |
1.242 |
1.858 |
0.597 |
1.184 |
|
|
|
|
|
|
|
|
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|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 131 | 210 | 89 | 213 | 82 | 84 |
normalized size | 1 | 1. | 3.45 | 5.53 | 2.34 | 5.61 | 2.16 | 2.21 |
time (sec) |
N/A |
0.047 |
0.24 |
0.052 |
1.301 |
1.751 |
0.481 |
1.292 |
|
|
|
|
|
|
|
|
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|
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|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 28 | 94 | 69 | 151 | 63 | 63 |
normalized size | 1 | 1. | 0.85 | 2.85 | 2.09 | 4.58 | 1.91 | 1.91 |
time (sec) |
N/A |
0.039 |
0.02 |
0.043 |
1.111 |
1.809 |
0.371 |
1.224 |
|
|
|
|
|
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|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 93 | 126 | 57 | 128 | 48 | 51 |
normalized size | 1 | 1. | 3.58 | 4.85 | 2.19 | 4.92 | 1.85 | 1.96 |
time (sec) |
N/A |
0.041 |
0.149 |
0.036 |
1.246 |
1.848 |
0.28 |
1.339 |
|
|
|
|
|
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|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 12 | 13 | 36 | 70 | 27 | 31 |
normalized size | 1 | 1. | 0.8 | 0.87 | 2.4 | 4.67 | 1.8 | 2.07 |
time (sec) |
N/A |
0.034 |
0.01 |
0.014 |
1.07 |
1.782 |
0.208 |
1.23 |
|
|
|
|
|
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|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 34 | 40 | 19 | 53 | 14 | 19 |
normalized size | 1 | 1. | 4.25 | 5. | 2.38 | 6.62 | 1.75 | 2.38 |
time (sec) |
N/A |
0.031 |
0.046 |
0.028 |
1.256 |
1.698 |
0.145 |
1.233 |
|
|
|
|
|
|
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|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 7 | 7 | 7 | 28 | 8 | 15 |
normalized size | 1 | 1. | 1. | 1. | 1. | 4. | 1.14 | 2.14 |
time (sec) |
N/A |
0.018 |
0.005 |
0.008 |
1.185 |
1.823 |
0.147 |
1.325 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 18 | 43 | 55 | 158 | 0 | 69 |
normalized size | 1 | 1. | 0.75 | 1.79 | 2.29 | 6.58 | 0. | 2.88 |
time (sec) |
N/A |
0.035 |
0.021 |
0.029 |
1.199 |
1.782 |
0. |
1.292 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 22 | 49 | 72 | 76 | 0 | 39 |
normalized size | 1 | 1. | 0.88 | 1.96 | 2.88 | 3.04 | 0. | 1.56 |
time (sec) |
N/A |
0.041 |
0.032 |
0.028 |
1.103 |
1.639 |
0. |
1.272 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 61 | 91 | 124 | 451 | 0 | 124 |
normalized size | 1 | 1. | 1.17 | 1.75 | 2.38 | 8.67 | 0. | 2.38 |
time (sec) |
N/A |
0.053 |
0.041 |
0.036 |
1.186 |
1.759 |
0. |
1.328 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 35 | 93 | 277 | 197 | 0 | 72 |
normalized size |
1 |
1. |
0.95 |
2.51 |
7.49 |
5.32 |
0. |
1.95 |
time (sec) |
N/A |
0.044 |
0.064 |
0.04 |
1.211 |
1.781 |
0. |
1.27 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 94 | 137 | 189 | 801 | 0 | 159 |
normalized size |
1 |
1. |
1.18 |
1.71 |
2.36 |
10.01 |
0. |
1.99 |
time (sec) |
N/A |
0.067 |
0.067 |
0.042 |
1.183 |
2.141 |
0. |
1.267 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 121 | 166 | 73 | 177 | 65 | 68 |
normalized size | 1 | 1. | 3.02 | 4.15 | 1.82 | 4.42 | 1.62 | 1.7 |
time (sec) |
N/A |
0.074 |
0.179 |
0.054 |
1.128 |
2.08 |
0.442 |
1.263 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 18 | 70 | 53 | 107 | 44 | 47 |
normalized size | 1 | 1. | 1.29 | 5. | 3.79 | 7.64 | 3.14 | 3.36 |
time (sec) |
N/A |
0.034 |
0.019 |
0.047 |
1.214 |
1.977 |
0.316 |
1.218 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 46 | 82 | 41 | 92 | 29 | 35 |
normalized size | 1 | 1. | 1.53 | 2.73 | 1.37 | 3.07 | 0.97 | 1.17 |
time (sec) |
N/A |
0.068 |
0.072 |
0.042 |
1.125 |
1.834 |
0.264 |
1.313 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 53 | 31 | 82 | 26 | 28 |
normalized size | 1 | 1. | 1. | 3.79 | 2.21 | 5.86 | 1.86 | 2. |
time (sec) |
N/A |
0.038 |
0.012 |
0.042 |
1.234 |
1.922 |
9.34 |
1.32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 69 | 29 | 16 | 42 | 8 | 14 |
normalized size | 1 | 1. | 4.93 | 2.07 | 1.14 | 3. | 0.57 | 1. |
time (sec) |
N/A |
0.034 |
0.054 |
0.04 |
1.215 |
1.735 |
0.184 |
1.276 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 10 | 11 | 43 | 19 | 14 |
normalized size | 1 | 1. | 1. | 1. | 1.1 | 4.3 | 1.9 | 1.4 |
time (sec) |
N/A |
0.02 |
0.01 |
0.013 |
1.227 |
1.736 |
0.212 |
1.292 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 26 | 70 | 95 | 298 | 0 | 95 |
normalized size | 1 | 1. | 0.76 | 2.06 | 2.79 | 8.76 | 0. | 2.79 |
time (sec) |
N/A |
0.039 |
0.043 |
0.04 |
1.128 |
1.849 |
0. |
1.271 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 31 | 70 | 158 | 132 | 0 | 55 |
normalized size | 1 | 1. | 0.84 | 1.89 | 4.27 | 3.57 | 0. | 1.49 |
time (sec) |
N/A |
0.071 |
0.022 |
0.039 |
1.317 |
1.736 |
0. |
1.235 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 68 | 116 | 162 | 625 | 0 | 142 |
normalized size |
1 |
1. |
1.13 |
1.93 |
2.7 |
10.42 |
0. |
2.37 |
time (sec) |
N/A |
0.055 |
0.044 |
0.05 |
1.303 |
1.857 |
0. |
1.326 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 47 | 116 | 428 | 259 | 0 | 88 |
normalized size |
1 |
1. |
0.96 |
2.37 |
8.73 |
5.29 |
0. |
1.8 |
time (sec) |
N/A |
0.078 |
0.036 |
0.052 |
1.162 |
1.763 |
0. |
1.266 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 45 | 56 | 45 | 142 | 31 | 36 |
normalized size | 1 | 1. | 1.61 | 2. | 1.61 | 5.07 | 1.11 | 1.29 |
time (sec) |
N/A |
0.044 |
0.086 |
0.053 |
1.198 |
1.746 |
27.575 |
1.245 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 40 | 36 | 72 | 84 | 32 | 22 |
normalized size | 1 | 1. | 2. | 1.8 | 3.6 | 4.2 | 1.6 | 1.1 |
time (sec) |
N/A |
0.033 |
0.064 |
0.047 |
1.111 |
1.701 |
0.33 |
1.253 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 14 | 13 | 14 | 86 | 37 | 16 |
normalized size | 1 | 1. | 0.88 | 0.81 | 0.88 | 5.38 | 2.31 | 1. |
time (sec) |
N/A |
0.021 |
0.026 |
0.015 |
1.182 |
1.683 |
0.388 |
1.253 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 45 | 56 | 45 | 142 | 31 | 36 |
normalized size | 1 | 1. | 1.73 | 2.15 | 1.73 | 5.46 | 1.19 | 1.38 |
time (sec) |
N/A |
0.04 |
0.086 |
0.055 |
1.137 |
1.891 |
27.517 |
1.22 |
|
|
|
|
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|
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|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 38 | 36 | 72 | 82 | 32 | 22 |
normalized size | 1 | 1. | 1.9 | 1.8 | 3.6 | 4.1 | 1.6 | 1.1 |
time (sec) |
N/A |
0.033 |
0.062 |
0.043 |
1.194 |
1.746 |
0.332 |
1.263 |
|
|
|
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|
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Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 14 | 13 | 14 | 85 | 36 | 16 |
normalized size | 1 | 1. | 0.88 | 0.81 | 0.88 | 5.31 | 2.25 | 1. |
time (sec) |
N/A |
0.022 |
0.027 |
0.017 |
1.217 |
1.751 |
0.386 |
1.214 |
|
|
|
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|
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|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 121 | 837 | 416 | 5296 | 0 | 343 |
normalized size |
1 |
1. |
0.88 |
6.07 |
3.01 |
38.38 |
0. |
2.49 |
time (sec) |
N/A |
0.138 |
0.157 |
0.046 |
1.206 |
2.053 |
0. |
1.258 |
|
|
|
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Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 145 | 857 | 674 | 0 | 3822 | 0 | 389 |
normalized size |
1 |
1. |
5.91 |
4.65 |
0. |
26.36 |
0. |
2.68 |
time (sec) |
N/A |
0.414 |
5.779 |
0.037 |
0. |
1.926 |
0. |
1.23 |
|
|
|
|
|
|
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|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 76 | 447 | 243 | 2228 | 0 | 188 |
normalized size |
1 |
1. |
0.94 |
5.52 |
3. |
27.51 |
0. |
2.32 |
time (sec) |
N/A |
0.091 |
0.088 |
0.033 |
1.251 |
1.921 |
0. |
1.249 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 651 | 336 | 0 | 1523 | 0 | 227 |
normalized size |
1 |
1. |
6.71 |
3.46 |
0. |
15.7 |
0. |
2.34 |
time (sec) |
N/A |
0.241 |
3.499 |
0.032 |
0. |
1.933 |
0. |
1.242 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 185 | 109 | 629 | 0 | 82 |
normalized size |
1 |
1. |
1. |
4.87 |
2.87 |
16.55 |
0. |
2.16 |
time (sec) |
N/A |
0.061 |
0.035 |
0.028 |
1.294 |
1.808 |
0. |
1.159 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 429 | 126 | 0 | 504 | 398 | 112 |
normalized size |
1 |
1. |
7.94 |
2.33 |
0. |
9.33 |
7.37 |
2.07 |
time (sec) |
N/A |
0.109 |
1.03 |
0.024 |
0. |
1.742 |
177.406 |
1.267 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 15 | 72 | 14 | 30 |
normalized size | 1 | 1. | 1. | 1.09 | 1.36 | 6.55 | 1.27 | 2.73 |
time (sec) |
N/A |
0.025 |
0.005 |
0.01 |
1.067 |
2.026 |
0.425 |
1.263 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 99 | 71 | 89 | 177 | 0 | 120 |
normalized size | 1 | 1. | 2.06 | 1.48 | 1.85 | 3.69 | 0. | 2.5 |
time (sec) |
N/A |
0.06 |
0.095 |
0.021 |
1.843 |
2.153 |
0. |
1.241 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 67 | 71 | 0 | 693 | 0 | 117 |
normalized size |
1 |
1. |
1.14 |
1.2 |
0. |
11.75 |
0. |
1.98 |
time (sec) |
N/A |
0.079 |
0.167 |
0.026 |
0. |
2.057 |
0. |
1.324 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 77 | 353 | 215 | 1724 | 0 | 289 |
normalized size | 1 | 1. | 0.89 | 4.06 | 2.47 | 19.82 | 0. | 3.32 |
time (sec) |
N/A |
0.122 |
0.124 |
0.033 |
1.842 |
2.311 |
0. |
1.247 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 102 | 182 | 0 | 2807 | 0 | 243 |
normalized size |
1 |
1. |
1.02 |
1.82 |
0. |
28.07 |
0. |
2.43 |
time (sec) |
N/A |
0.213 |
0.333 |
0.034 |
0. |
2.227 |
0. |
1.361 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 135 | 1140 | 466 | 6700 | 0 | 498 |
normalized size | 1 | 1. | 1. | 8.44 | 3.45 | 49.63 | 0. | 3.69 |
time (sec) |
N/A |
0.197 |
0.226 |
0.043 |
1.865 |
2.854 |
0. |
1.238 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 146 | 350 | 0 | 7626 | 0 | 436 |
normalized size |
1 |
1. |
1. |
2.4 |
0. |
52.23 |
0. |
2.99 |
time (sec) |
N/A |
0.417 |
0.445 |
0.048 |
0. |
2.393 |
0. |
1.283 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 2901 | 290 | 0 | 2184 | 0 | 240 |
normalized size |
1 |
1. |
30.86 |
3.09 |
0. |
23.23 |
0. |
2.55 |
time (sec) |
N/A |
0.22 |
6.278 |
0.058 |
0. |
2.148 |
0. |
1.259 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 37 | 141 | 138 | 999 | 209 | 111 |
normalized size | 1 | 1. | 0.92 | 3.52 | 3.45 | 24.98 | 5.22 | 2.78 |
time (sec) |
N/A |
0.06 |
0.07 |
0.052 |
1.107 |
2.168 |
2.022 |
1.215 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 659 | 119 | 0 | 933 | 0 | 131 |
normalized size |
1 |
1. |
10.63 |
1.92 |
0. |
15.05 |
0. |
2.11 |
time (sec) |
N/A |
0.111 |
3.401 |
0.043 |
0. |
2.101 |
0. |
1.148 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 14 | 18 | 149 | 32 | 30 |
normalized size | 1 | 1. | 1. | 1.08 | 1.38 | 11.46 | 2.46 | 2.31 |
time (sec) |
N/A |
0.025 |
0.013 |
0.019 |
1.209 |
1.959 |
1.015 |
1.122 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 121 | 201 | 201 | 963 | 0 | 251 |
normalized size | 1 | 1. | 1.53 | 2.54 | 2.54 | 12.19 | 0. | 3.18 |
time (sec) |
N/A |
0.103 |
0.443 |
0.046 |
1.748 |
2.228 |
0. |
1.132 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 94 | 138 | 0 | 1916 | 0 | 225 |
normalized size |
1 |
1. |
1.01 |
1.48 |
0. |
20.6 |
0. |
2.42 |
time (sec) |
N/A |
0.17 |
0.242 |
0.041 |
0. |
2.158 |
0. |
1.152 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 260 | 548 | 506 | 6197 | 0 | 398 |
normalized size | 1 | 1. | 1.91 | 4.03 | 3.72 | 45.57 | 0. | 2.93 |
time (sec) |
N/A |
0.165 |
2.442 |
0.069 |
1.879 |
2.83 |
0. |
1.176 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 137 | 266 | 0 | 7135 | 0 | 387 |
normalized size |
1 |
1. |
0.95 |
1.85 |
0. |
49.55 |
0. |
2.69 |
time (sec) |
N/A |
0.31 |
0.43 |
0.072 |
0. |
2.457 |
0. |
1.17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 96 | 93 | 558 | 271 | 116 | 72 |
normalized size | 1 | 1. | 3.1 | 3. | 18. | 8.74 | 3.74 | 2.32 |
time (sec) |
N/A |
0.079 |
0.135 |
0.07 |
1.126 |
2.079 |
1.301 |
1.155 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 42 | 79 | 128 | 455 | 97 | 124 |
normalized size | 1 | 1. | 1.17 | 2.19 | 3.56 | 12.64 | 2.69 | 3.44 |
time (sec) |
N/A |
0.092 |
0.077 |
0.059 |
1.033 |
2.088 |
0.806 |
1.138 |
|
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Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 67 | 47 | 147 | 111 | 48 | 39 |
normalized size | 1 | 1. | 2.91 | 2.04 | 6.39 | 4.83 | 2.09 | 1.7 |
time (sec) |
N/A |
0.076 |
0.059 |
0.045 |
1.117 |
2.033 |
0.379 |
1.122 |
|
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Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
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|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 20 | 45 | 57 | 157 | 32 | 72 |
normalized size | 1 | 1. | 0.77 | 1.73 | 2.19 | 6.04 | 1.23 | 2.77 |
time (sec) |
N/A |
0.055 |
0.02 |
0.032 |
1.168 |
2.133 |
0.27 |
1.089 |
|
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Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 17 | 38 | 54 | 0 | 31 |
normalized size |
1 |
1. |
1. |
0.89 |
2. |
2.84 |
0. |
1.63 |
time (sec) |
N/A |
0.032 |
0.008 |
0.022 |
1.037 |
2.05 |
0. |
1.112 |
|
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Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 32 | 23 | 36 | 108 | 22 | 32 |
normalized size | 1 | 1. | 2.67 | 1.92 | 3. | 9. | 1.83 | 2.67 |
time (sec) |
N/A |
0.044 |
0.035 |
0.026 |
1.073 |
2.013 |
0.217 |
1.128 |
|
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Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 34 | 90 | 84 | 32 | 32 |
normalized size | 1 | 1. | 1. | 2.27 | 6. | 5.6 | 2.13 | 2.13 |
time (sec) |
N/A |
0.059 |
0.011 |
0.038 |
1.046 |
1.982 |
0.256 |
1.149 |
|
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Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 100 | 59 | 82 | 263 | 58 | 59 |
normalized size | 1 | 1. | 3.85 | 2.27 | 3.15 | 10.12 | 2.23 | 2.27 |
time (sec) |
N/A |
0.078 |
0.037 |
0.046 |
1.052 |
2.013 |
0.479 |
1.153 |
|
|
|
|
|
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|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 33 | 68 | 277 | 176 | 71 | 69 |
normalized size | 1 | 1. | 1.43 | 2.96 | 12.04 | 7.65 | 3.09 | 3. |
time (sec) |
N/A |
0.077 |
0.01 |
0.066 |
1.069 |
1.973 |
0.754 |
1.134 |
|
|
|
|
|
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|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 164 | 93 | 123 | 437 | 104 | 84 |
normalized size | 1 | 1. | 4.56 | 2.58 | 3.42 | 12.14 | 2.89 | 2.33 |
time (sec) |
N/A |
0.097 |
0.04 |
0.07 |
1.089 |
2.138 |
1.377 |
1.126 |
|
|
|
|
|
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|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 112 | 116 | 774 | 351 | 139 | 88 |
normalized size | 1 | 1. | 2.38 | 2.47 | 16.47 | 7.47 | 2.96 | 1.87 |
time (sec) |
N/A |
0.123 |
0.146 |
0.093 |
1.113 |
2.003 |
2.533 |
1.164 |
|
|
|
|
|
|
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|
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|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 52 | 114 | 155 | 621 | 129 | 138 |
normalized size | 1 | 1. | 0.79 | 1.73 | 2.35 | 9.41 | 1.95 | 2.09 |
time (sec) |
N/A |
0.065 |
0.1 |
0.078 |
1.119 |
2.028 |
1.588 |
1.184 |
|
|
|
|
|
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|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 84 | 70 | 266 | 171 | 71 | 55 |
normalized size | 1 | 1. | 2.27 | 1.89 | 7.19 | 4.62 | 1.92 | 1.49 |
time (sec) |
N/A |
0.118 |
0.092 |
0.059 |
1.088 |
2.013 |
0.823 |
1.133 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 29 | 66 | 82 | 284 | 60 | 89 |
normalized size | 1 | 1. | 0.81 | 1.83 | 2.28 | 7.89 | 1.67 | 2.47 |
time (sec) |
N/A |
0.037 |
0.03 |
0.051 |
1.071 |
2.06 |
0.486 |
1.131 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 23 | 65 | 162 | 36 | 45 |
normalized size | 1 | 1. | 1. | 0.92 | 2.6 | 6.48 | 1.44 | 1.8 |
time (sec) |
N/A |
0.04 |
0.027 |
0.033 |
1.118 |
2.052 |
0.513 |
1.121 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 66 | 35 | 73 | 232 | 49 | 63 |
normalized size | 1 | 1. | 2.54 | 1.35 | 2.81 | 8.92 | 1.88 | 2.42 |
time (sec) |
N/A |
0.068 |
0.138 |
0.045 |
1.13 |
2.088 |
0.471 |
1.153 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 51 | 86 | 207 | 53 | 72 |
normalized size | 1 | 1. | 1. | 1.76 | 2.97 | 7.14 | 1.83 | 2.48 |
time (sec) |
N/A |
0.048 |
0.016 |
0.06 |
1.142 |
2.062 |
0.688 |
1.121 |
|
|
|
|
|
|
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|
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|
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|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 107 | 58 | 90 | 302 | 66 | 68 |
normalized size | 1 | 1. | 3.82 | 2.07 | 3.21 | 10.79 | 2.36 | 2.43 |
time (sec) |
N/A |
0.094 |
0.054 |
0.051 |
1.03 |
2.033 |
0.55 |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 68 | 231 | 166 | 66 | 51 |
normalized size | 1 | 1. | 1. | 2.52 | 8.56 | 6.15 | 2.44 | 1.89 |
time (sec) |
N/A |
0.043 |
0.012 |
0.067 |
1.022 |
1.958 |
0.748 |
1.103 |
|
|
|
|
|
|
|
|
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|
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|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 175 | 74 | 139 | 527 | 117 | 100 |
normalized size | 1 | 1. | 3.65 | 1.54 | 2.9 | 10.98 | 2.44 | 2.08 |
time (sec) |
N/A |
0.091 |
0.058 |
0.073 |
1.069 |
2.113 |
1.521 |
1.145 |
|
|
|
|
|
|
|
|
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|
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|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 108 | 163 | 0 | 2944 | 0 | 266 |
normalized size |
1 |
1. |
0.87 |
1.31 |
0. |
23.74 |
0. |
2.15 |
time (sec) |
N/A |
0.184 |
0.352 |
0.039 |
0. |
2.246 |
0. |
1.195 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 153 | 357 | 216 | 1725 | 0 | 285 |
normalized size | 1 | 1. | 1.74 | 4.06 | 2.45 | 19.6 | 0. | 3.24 |
time (sec) |
N/A |
0.175 |
0.175 |
0.036 |
1.573 |
2.268 |
0. |
1.137 |
|
|
|
|
|
|
|
|
|
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|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 69 | 84 | 0 | 691 | 0 | 117 |
normalized size |
1 |
1. |
1. |
1.22 |
0. |
10.01 |
0. |
1.7 |
time (sec) |
N/A |
0.091 |
0.188 |
0.029 |
0. |
2.054 |
0. |
1.198 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 36 | 84 | 89 | 177 | 0 | 120 |
normalized size | 1 | 1. | 0.75 | 1.75 | 1.85 | 3.69 | 0. | 2.5 |
time (sec) |
N/A |
0.069 |
0.058 |
0.024 |
1.533 |
2.12 |
0. |
1.132 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 21 | 62 | 116 | 0 | 53 |
normalized size | 1 | 1. | 1. | 1.05 | 3.1 | 5.8 | 0. | 2.65 |
time (sec) |
N/A |
0.041 |
0.01 |
0.02 |
1.06 |
2.027 |
0. |
1.128 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 82 | 107 | 0 | 705 | 0 | 128 |
normalized size |
1 |
1. |
1.46 |
1.91 |
0. |
12.59 |
0. |
2.29 |
time (sec) |
N/A |
0.235 |
0.176 |
0.026 |
0. |
2.23 |
0. |
1.143 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 45 | 120 | 157 | 1165 | 0 | 169 |
normalized size | 1 | 1. | 0.87 | 2.31 | 3.02 | 22.4 | 0. | 3.25 |
time (sec) |
N/A |
0.095 |
0.061 |
0.034 |
1.024 |
2.174 |
0. |
1.142 |
|
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Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 176 | 232 | 0 | 3380 | 0 | 262 |
normalized size |
1 |
1. |
1.63 |
2.15 |
0. |
31.3 |
0. |
2.43 |
time (sec) |
N/A |
0.413 |
0.423 |
0.036 |
0. |
3.47 |
0. |
1.133 |
|
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Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 224 | 224 | 144 | 262 | 0 | 8182 | 0 | 394 |
normalized size |
1 |
1. |
0.64 |
1.17 |
0. |
36.53 |
0. |
1.76 |
time (sec) |
N/A |
0.435 |
0.39 |
0.062 |
0. |
2.728 |
0. |
1.224 |
|
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Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 150 | 491 | 506 | 6589 | 0 | 414 |
normalized size | 1 | 1. | 1.11 | 3.64 | 3.75 | 48.81 | 0. | 3.07 |
time (sec) |
N/A |
0.356 |
0.662 |
0.062 |
1.594 |
2.792 |
0. |
1.175 |
|
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Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 100 | 142 | 0 | 2144 | 0 | 244 |
normalized size |
1 |
1. |
0.69 |
0.99 |
0. |
14.89 |
0. |
1.69 |
time (sec) |
N/A |
0.249 |
0.265 |
0.05 |
0. |
2.148 |
0. |
1.184 |
|
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Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 146 | 248 | 209 | 1029 | 0 | 269 |
normalized size | 1 | 1. | 1.72 | 2.92 | 2.46 | 12.11 | 0. | 3.16 |
time (sec) |
N/A |
0.103 |
0.225 |
0.042 |
1.571 |
2.199 |
0. |
1.171 |
|
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Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 27 | 33 | 101 | 477 | 0 | 101 |
normalized size | 1 | 1. | 0.84 | 1.03 | 3.16 | 14.91 | 0. | 3.16 |
time (sec) |
N/A |
0.053 |
0.047 |
0.033 |
1.026 |
2.127 |
0. |
1.134 |
|
|
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Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 102 | 170 | 0 | 3102 | 0 | 200 |
normalized size |
1 |
1. |
1.27 |
2.12 |
0. |
38.78 |
0. |
2.5 |
time (sec) |
N/A |
0.402 |
0.478 |
0.041 |
0. |
2.748 |
0. |
1.186 |
|
|
|
|
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|
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Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 73 | 184 | 273 | 3726 | 0 | 257 |
normalized size | 1 | 1. | 0.96 | 2.42 | 3.59 | 49.03 | 0. | 3.38 |
time (sec) |
N/A |
0.11 |
0.197 |
0.056 |
1.051 |
2.292 |
0. |
1.153 |
|
|
|
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|
Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 159 | 159 | 214 | 357 | 0 | 9129 | 0 | 327 |
normalized size |
1 |
1. |
1.35 |
2.25 |
0. |
57.42 |
0. |
2.06 |
time (sec) |
N/A |
0.671 |
0.818 |
0.056 |
0. |
3.028 |
0. |
1.205 |
|
|
|
|
|
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Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 37 | 30 | 0 | 1071 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.81 | 0. | 28.95 | 0. | 0. |
time (sec) |
N/A |
0.062 |
0.022 |
0.014 |
0. |
4.919 |
0. |
0. |
|
|
|
|
|
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Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 19 | 0 | 1099 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.79 | 0. | 45.79 | 0. | 0. |
time (sec) |
N/A |
0.059 |
0.013 |
0.016 |
0. |
2.583 |
0. |
0. |
|
|
|
|
|
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|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 59 | 88 | 0 | 458 | 695 | 117 |
normalized size |
1 |
1. |
1.16 |
1.73 |
0. |
8.98 |
13.63 |
2.29 |
time (sec) |
N/A |
0.135 |
0.076 |
0.025 |
0. |
2.093 |
99.557 |
1.134 |
|
|
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Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 48 | 46 | 26 | 90 | 20 | 30 |
normalized size | 1 | 1. | 1.92 | 1.84 | 1.04 | 3.6 | 0.8 | 1.2 |
time (sec) |
N/A |
0.083 |
0.066 |
0.032 |
1.035 |
2.047 |
1.311 |
1.136 |
|
|
|
|
|
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|
Problem 248 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 81 | 44 | 27 | 89 | 20 | 28 |
normalized size | 1 | 1. | 3. | 1.63 | 1. | 3.3 | 0.74 | 1.04 |
time (sec) |
N/A |
0.087 |
0.088 |
0.037 |
1.055 |
2.082 |
0.366 |
1.141 |
|
|
|
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|
Problem 249 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 132 | 150 | 0 | 510 | 0 | 166 |
normalized size |
1 |
1. |
1.48 |
1.69 |
0. |
5.73 |
0. |
1.87 |
time (sec) |
N/A |
0.177 |
0.355 |
0.032 |
0. |
15.237 |
0. |
1.178 |
|
|
|
|
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|
Problem 250 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 65 | 73 | 0 | 502 | 0 | 138 |
normalized size |
1 |
1. |
1.08 |
1.22 |
0. |
8.37 |
0. |
2.3 |
time (sec) |
N/A |
0.15 |
0.159 |
0.033 |
0. |
2.236 |
0. |
1.173 |
|
|
|
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|
Problem 251 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 93 | 150 | 0 | 510 | 0 | 166 |
normalized size |
1 |
1. |
1.04 |
1.69 |
0. |
5.73 |
0. |
1.87 |
time (sec) |
N/A |
0.252 |
0.249 |
0.032 |
0. |
26.196 |
0. |
1.168 |
|
|
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|
Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 67 | 86 | 0 | 482 | 0 | 122 |
normalized size |
1 |
1. |
1.16 |
1.48 |
0. |
8.31 |
0. |
2.1 |
time (sec) |
N/A |
0.157 |
0.116 |
0.03 |
0. |
5.065 |
0. |
1.172 |
|
|
|
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|
Problem 253 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 85 | 213 | 0 | 616 | 1358 | 181 |
normalized size |
1 |
1. |
1.05 |
2.63 |
0. |
7.6 |
16.77 |
2.23 |
time (sec) |
N/A |
0.169 |
0.284 |
0.056 |
0. |
2.131 |
130.497 |
1.193 |
|
|
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|
Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 113 | 151 | 0 | 1339 | 0 | 262 |
normalized size |
1 |
1. |
1. |
1.34 |
0. |
11.85 |
0. |
2.32 |
time (sec) |
N/A |
0.169 |
0.525 |
0.092 |
0. |
2.165 |
0. |
1.182 |
|
|
|
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|
Problem 255 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 180 | 180 | 170 | 416 | 0 | 4178 | 0 | 586 |
normalized size |
1 |
1. |
0.94 |
2.31 |
0. |
23.21 |
0. |
3.26 |
time (sec) |
N/A |
0.27 |
0.679 |
0.116 |
0. |
2.31 |
0. |
1.174 |
|
|
|
|
|
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|
Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 250 | 250 | 235 | 844 | 0 | 9709 | 0 | 988 |
normalized size |
1 |
1. |
0.94 |
3.38 |
0. |
38.84 |
0. |
3.95 |
time (sec) |
N/A |
0.44 |
1.539 |
0.134 |
0. |
2.649 |
0. |
1.205 |
|
|
|
|
|
|
|
|
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|
Problem 257 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 439 | 439 | 319 | 919 | 0 | 3956 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 2.09 | 0. | 9.01 | 0. | 0. |
time (sec) |
N/A |
0.73 |
0.838 |
0.059 |
0. |
2.466 |
0. |
0. |
|
|
|
|
|
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|
Problem 258 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 327 | 327 | 240 | 710 | 0 | 2967 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 2.17 | 0. | 9.07 | 0. | 0. |
time (sec) |
N/A |
0.538 |
0.694 |
0.049 |
0. |
2.372 |
0. |
0. |
|
|
|
|
|
|
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|
|
Problem 259 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 576 | 505 | 0 | 1968 | 0 | 0 |
normalized size | 1 | 1. | 2.68 | 2.35 | 0. | 9.15 | 0. | 0. |
time (sec) |
N/A |
0.329 |
0.772 |
0.047 |
0. |
2.253 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 260 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 41 | 47 | 57 | 204 | 0 | 57 |
normalized size | 1 | 1. | 0.87 | 1. | 1.21 | 4.34 | 0. | 1.21 |
time (sec) |
N/A |
0.456 |
0.104 |
0.103 |
1.308 |
2.009 |
0. |
1.125 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 261 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.112 |
0.079 |
0.109 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 262 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.081 |
0.035 |
0.079 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 263 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.031 |
0.024 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 264 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
11.438 |
0.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 265 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.08 |
36.221 |
0.039 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 266 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 41 | 0 | 70 | 123 | 0 | 63 |
normalized size |
1 |
1. |
0.76 |
0. |
1.3 |
2.28 |
0. |
1.17 |
time (sec) |
N/A |
0.011 |
0.059 |
0.03 |
1.119 |
2.043 |
0. |
1.132 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 267 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 55 | 0 | 90 | 258 | 0 | 228 |
normalized size |
1 |
1. |
0.62 |
0. |
1.02 |
2.93 |
0. |
2.59 |
time (sec) |
N/A |
0.021 |
0.101 |
0.095 |
1.161 |
2.026 |
0. |
1.207 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 268 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 120 | 0 | 154 | 532 | 0 | 898 |
normalized size |
1 |
1. |
0.81 |
0. |
1.03 |
3.57 |
0. |
6.03 |
time (sec) |
N/A |
0.041 |
0.502 |
0.108 |
1.213 |
2.147 |
0. |
1.275 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 269 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 191 | 191 | 167 | 0 | 174 | 801 | 0 | 1049 |
normalized size |
1 |
1. |
0.87 |
0. |
0.91 |
4.19 |
0. |
5.49 |
time (sec) |
N/A |
0.051 |
0.418 |
0.131 |
1.258 |
2.134 |
0. |
1.28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 270 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 54 | 0 | 86 | 304 | 0 | 317 |
normalized size |
1 |
1. |
0.74 |
0. |
1.18 |
4.16 |
0. |
4.34 |
time (sec) |
N/A |
0.024 |
0.133 |
0.033 |
1.118 |
2.087 |
0. |
1.193 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 271 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
A |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 89 | 0 | 0 | 726 | 0 | 1023 |
normalized size |
1 |
1. |
0.74 |
0. |
0. |
6.05 |
0. |
8.52 |
time (sec) |
N/A |
0.048 |
0.28 |
0.109 |
0. |
2.187 |
0. |
1.276 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 272 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 197 | 292 | 0 | 186 | 1542 | 0 | 4354 |
normalized size |
1 |
0.97 |
1.44 |
0. |
0.92 |
7.6 |
0. |
21.45 |
time (sec) |
N/A |
0.086 |
1.327 |
0.132 |
1.23 |
2.168 |
0. |
1.441 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 273 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 260 | 311 | 0 | 0 | 2880 | 0 | 9293 |
normalized size |
1 |
0.98 |
1.17 |
0. |
0. |
10.83 |
0. |
34.94 |
time (sec) |
N/A |
0.128 |
3.442 |
0.147 |
0. |
2.313 |
0. |
1.742 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 274 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 37 | 19 | 24 | 53 | 37 | 54 |
normalized size | 1 | 1. | 2.06 | 1.06 | 1.33 | 2.94 | 2.06 | 3. |
time (sec) |
N/A |
0.017 |
0.014 |
0.006 |
1.024 |
2.041 |
1.722 |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 275 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 36 | 52 | 66 | 123 | 0 | 109 |
normalized size | 1 | 1. | 0.92 | 1.33 | 1.69 | 3.15 | 0. | 2.79 |
time (sec) |
N/A |
0.029 |
0.027 |
0.01 |
1.048 |
2.066 |
0. |
1.214 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 276 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 45 | 36 | 116 | 208 | 82 | 109 |
normalized size | 1 | 1. | 1.05 | 0.84 | 2.7 | 4.84 | 1.91 | 2.53 |
time (sec) |
N/A |
0.035 |
0.014 |
0.007 |
1.036 |
2.097 |
37.068 |
1.188 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 277 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 51 | 84 | 126 | 270 | 0 | 154 |
normalized size |
1 |
1. |
0.7 |
1.15 |
1.73 |
3.7 |
0. |
2.11 |
time (sec) |
N/A |
0.047 |
0.047 |
0.012 |
1.142 |
2.083 |
0. |
1.184 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 278 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 68 | 51 | 176 | 421 | 0 | 155 |
normalized size |
1 |
1. |
1.05 |
0.78 |
2.71 |
6.48 |
0. |
2.38 |
time (sec) |
N/A |
0.042 |
0.019 |
0.012 |
1.102 |
2.118 |
0. |
1.211 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 279 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 96 | 227 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
2.05 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.065 |
0.088 |
0.054 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 280 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 114 | 143 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.03 |
1.29 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.06 |
0.13 |
0.055 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 281 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 68 | 146 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.94 | 2.03 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.044 |
0.042 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 282 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 66 | 120 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.92 | 1.67 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.044 |
0.044 |
0.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 283 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 80 | 212 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
1.98 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.057 |
0.062 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 284 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 122 | 144 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.1 |
1.3 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.061 |
0.127 |
0.055 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 285 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 86 | 0 | 0 | 420 | 0 | 0 |
normalized size |
1 |
1. |
0.41 |
0. |
0. |
2.01 |
0. |
0. |
time (sec) |
N/A |
0.16 |
0.418 |
0.362 |
0. |
2.18 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 286 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 74 | 0 | 0 | 306 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
0. |
0. |
2.97 |
0. |
0. |
time (sec) |
N/A |
0.087 |
0.269 |
0.155 |
0. |
2.158 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 287 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 61 | 0 | 0 | 167 | 0 | 0 |
normalized size | 1 | 1. | 1.42 | 0. | 0. | 3.88 | 0. | 0. |
time (sec) |
N/A |
0.053 |
0.147 |
0.16 |
0. |
2.432 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 288 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 121 | 0 | 0 | 312 | 0 | 0 |
normalized size |
1 |
1. |
1.17 |
0. |
0. |
3.03 |
0. |
0. |
time (sec) |
N/A |
0.079 |
0.26 |
0.163 |
0. |
2.301 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 289 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 38 | 0 | 109 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.06 | 0. | 3.03 | 0. | 0. |
time (sec) |
N/A |
0.047 |
0.02 |
0.009 |
0. |
2.187 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 290 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 37 | 50 | 0 | 165 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
1.28 |
0. |
4.23 |
0. |
0. |
time (sec) |
N/A |
0.064 |
0.04 |
0.016 |
0. |
2.044 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 291 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 54 | 74 | 0 | 269 | 0 | 0 |
normalized size |
1 |
1. |
0.92 |
1.25 |
0. |
4.56 |
0. |
0. |
time (sec) |
N/A |
0.085 |
0.057 |
0.013 |
0. |
2.133 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 292 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 70 | 113 | 0 | 532 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 1.53 | 0. | 7.19 | 0. | 0. |
time (sec) |
N/A |
0.13 |
0.283 |
0.032 |
0. |
1.98 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 293 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 85 | 120 | 0 | 589 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
1.5 |
0. |
7.36 |
0. |
0. |
time (sec) |
N/A |
0.146 |
0.359 |
0.087 |
0. |
2.117 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 294 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 143 | 172 | 228 | 0 | 1524 | 0 | 0 |
normalized size |
1 |
1. |
1.2 |
1.59 |
0. |
10.66 |
0. |
0. |
time (sec) |
N/A |
0.246 |
0.459 |
0.088 |
0. |
2.18 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 295 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 373 | 347 | 0 | 344 | 0 | 0 |
normalized size |
1 |
1. |
3.69 |
3.44 |
0. |
3.41 |
0. |
0. |
time (sec) |
N/A |
0.179 |
0.706 |
0.028 |
0. |
2.042 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 296 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 112 | 358 | 0 | 775 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
3.35 |
0. |
7.24 |
0. |
0. |
time (sec) |
N/A |
0.182 |
0.849 |
0.086 |
0. |
2.066 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 297 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 194 | 194 | 599 | 700 | 0 | 1536 | 0 | 0 |
normalized size |
1 |
1. |
3.09 |
3.61 |
0. |
7.92 |
0. |
0. |
time (sec) |
N/A |
0.328 |
1.356 |
0.084 |
0. |
2.145 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 298 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 449 | 459 | 0 | 417 | 0 | 0 |
normalized size |
1 |
1. |
3.71 |
3.79 |
0. |
3.45 |
0. |
0. |
time (sec) |
N/A |
0.259 |
1.432 |
0.043 |
0. |
2.043 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 299 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 136 | 468 | 0 | 1018 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
3.63 |
0. |
7.89 |
0. |
0. |
time (sec) |
N/A |
0.279 |
2. |
0.097 |
0. |
2.317 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 300 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 226 | 226 | 671 | 922 | 0 | 2047 | 0 | 0 |
normalized size |
1 |
1. |
2.97 |
4.08 |
0. |
9.06 |
0. |
0. |
time (sec) |
N/A |
0.476 |
6.181 |
0.105 |
0. |
2.55 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 301 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 62 | 77 | 92 | 325 | 139 | 81 |
normalized size | 1 | 1. | 0.75 | 0.93 | 1.11 | 3.92 | 1.67 | 0.98 |
time (sec) |
N/A |
0.04 |
0.041 |
0.008 |
1.18 |
2.213 |
104.606 |
1.147 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 302 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 45 | 67 | 72 | 259 | 187 | 77 |
normalized size | 1 | 1. | 0.79 | 1.18 | 1.26 | 4.54 | 3.28 | 1.35 |
time (sec) |
N/A |
0.038 |
0.034 |
0.006 |
1.114 |
2.053 |
27.031 |
1.138 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 303 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 39 | 49 | 54 | 154 | 78 | 46 |
normalized size | 1 | 1. | 0.8 | 1. | 1.1 | 3.14 | 1.59 | 0.94 |
time (sec) |
N/A |
0.031 |
0.021 |
0.008 |
1.058 |
1.995 |
7.023 |
1.176 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 304 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 23 | 37 | 32 | 132 | 63 | 32 |
normalized size | 1 | 1. | 1. | 1.61 | 1.39 | 5.74 | 2.74 | 1.39 |
time (sec) |
N/A |
0.016 |
0.012 |
0.006 |
1.125 |
1.93 |
1.639 |
1.138 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 305 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 19 | 36 | 76 | 0 | 23 |
normalized size | 1 | 1. | 1. | 1. | 1.89 | 4. | 0. | 1.21 |
time (sec) |
N/A |
0.019 |
0.011 |
0.006 |
1.111 |
2.003 |
0. |
1.13 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 306 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 38 | 39 | 70 | 462 | 0 | 72 |
normalized size | 1 | 1. | 0.9 | 0.93 | 1.67 | 11. | 0. | 1.71 |
time (sec) |
N/A |
0.031 |
0.069 |
0.009 |
1.116 |
1.954 |
0. |
1.129 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 307 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 29 | 32 | 92 | 235 | 0 | 42 |
normalized size | 1 | 1. | 0.94 | 1.03 | 2.97 | 7.58 | 0. | 1.35 |
time (sec) |
N/A |
0.028 |
0.017 |
0.045 |
1.113 |
1.929 |
0. |
1.154 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 308 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 75 | 71 | 135 | 1963 | 0 | 107 |
normalized size | 1 | 1. | 0.74 | 0.7 | 1.34 | 19.44 | 0. | 1.06 |
time (sec) |
N/A |
0.054 |
0.073 |
0.045 |
1.169 |
2.008 |
0. |
1.127 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 309 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 44 | 61 | 232 | 635 | 0 | 57 |
normalized size | 1 | 1. | 0.67 | 0.92 | 3.52 | 9.62 | 0. | 0.86 |
time (sec) |
N/A |
0.056 |
0.035 |
0.048 |
1.013 |
1.872 |
0. |
1.112 |
|
|
|
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|
Problem 310 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 34 | 23 | 170 | 42 | 23 |
normalized size | 1 | 1. | 1. | 1.31 | 0.88 | 6.54 | 1.62 | 0.88 |
time (sec) |
N/A |
0.02 |
0.013 |
0.019 |
1.104 |
2.02 |
1.053 |
1.138 |
|
|
|
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|
Problem 311 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 16 | 22 | 18 | 90 | 20 | 18 |
normalized size | 1 | 1. | 0.84 | 1.16 | 0.95 | 4.74 | 1.05 | 0.95 |
time (sec) |
N/A |
0.011 |
0.008 |
0.006 |
1.058 |
1.939 |
0.362 |
1.126 |
|
|
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Problem 312 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 34 | 24 | 126 | 0 | 26 |
normalized size | 1 | 1. | 1. | 3.09 | 2.18 | 11.45 | 0. | 2.36 |
time (sec) |
N/A |
0.013 |
0.009 |
0.045 |
1.583 |
2.066 |
0. |
1.146 |
|
|
|
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|
Problem 313 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 46 | 43 | 678 | 0 | 45 |
normalized size | 1 | 1. | 1. | 1.44 | 1.34 | 21.19 | 0. | 1.41 |
time (sec) |
N/A |
0.024 |
0.036 |
0.046 |
1.547 |
2.041 |
0. |
1.122 |
|
|
|
|
|
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|
Problem 314 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 34 | 23 | 240 | 42 | 23 |
normalized size | 1 | 1. | 1. | 1.31 | 0.88 | 9.23 | 1.62 | 0.88 |
time (sec) |
N/A |
0.02 |
0.016 |
0.013 |
1.082 |
1.962 |
0.954 |
1.143 |
|
|
|
|
|
|
|
|
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|
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|
Problem 315 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 16 | 26 | 18 | 128 | 20 | 18 |
normalized size | 1 | 1. | 0.84 | 1.37 | 0.95 | 6.74 | 1.05 | 0.95 |
time (sec) |
N/A |
0.012 |
0.009 |
0.016 |
1.108 |
1.966 |
0.329 |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 316 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 22 | 79 | 99 | 288 | 0 | 58 |
normalized size | 1 | 1. | 0.41 | 1.46 | 1.83 | 5.33 | 0. | 1.07 |
time (sec) |
N/A |
0.057 |
0.011 |
0.045 |
1.652 |
2.108 |
0. |
1.133 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 317 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 34 | 148 | 115 | 1985 | 0 | 116 |
normalized size | 1 | 1. | 0.32 | 1.41 | 1.1 | 18.9 | 0. | 1.1 |
time (sec) |
N/A |
0.139 |
0.026 |
0.055 |
1.685 |
2.146 |
0. |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 318 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 34 | 23 | 311 | 42 | 23 |
normalized size | 1 | 1. | 1. | 1.31 | 0.88 | 11.96 | 1.62 | 0.88 |
time (sec) |
N/A |
0.021 |
0.016 |
0.013 |
1.053 |
2.042 |
0.955 |
1.106 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 319 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 26 | 18 | 154 | 20 | 18 |
normalized size | 1 | 1. | 1. | 1.37 | 0.95 | 8.11 | 1.05 | 0.95 |
time (sec) |
N/A |
0.012 |
0.009 |
0.006 |
1.1 |
2.039 |
0.35 |
1.094 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 320 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 22 | 56 | 128 | 440 | 0 | 130 |
normalized size | 1 | 1. | 0.19 | 0.5 | 1.13 | 3.89 | 0. | 1.15 |
time (sec) |
N/A |
0.077 |
0.011 |
0.055 |
1.599 |
2.318 |
0. |
1.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 321 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 34 | 68 | 144 | 620 | 0 | 146 |
normalized size | 1 | 1. | 0.26 | 0.52 | 1.1 | 4.73 | 0. | 1.11 |
time (sec) |
N/A |
0.088 |
0.025 |
0.058 |
1.595 |
2.798 |
0. |
1.119 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 322 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 202 | 202 | 157 | 326 | 181 | 5434 | 0 | 1673 |
normalized size |
1 |
1. |
0.78 |
1.61 |
0.9 |
26.9 |
0. |
8.28 |
time (sec) |
N/A |
0.082 |
0.666 |
0.061 |
1.191 |
2.56 |
0. |
1.299 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 323 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 86 | 143 | 127 | 1783 | 604 | 1220 |
normalized size | 1 | 1. | 0.65 | 1.08 | 0.96 | 13.51 | 4.58 | 9.24 |
time (sec) |
N/A |
0.053 |
0.202 |
0.039 |
1.152 |
2.12 |
70.271 |
1.2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 324 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 50 | 77 | 85 | 643 | 316 | 826 |
normalized size | 1 | 1. | 0.67 | 1.03 | 1.13 | 8.57 | 4.21 | 11.01 |
time (sec) |
N/A |
0.019 |
0.105 |
0.015 |
1.073 |
1.836 |
13.854 |
1.203 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 325 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 93 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.41 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.022 |
5.313 |
0.019 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 326 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 87 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.28 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.029 |
2.742 |
0.022 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 327 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 299 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.45 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.053 |
19.668 |
0.031 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 328 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 202 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.54 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.06 |
6.999 |
0.035 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 329 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 250 | 250 | 106 | 184 | 122 | 559 | 0 | 363 |
normalized size |
1 |
1. |
0.42 |
0.74 |
0.49 |
2.24 |
0. |
1.45 |
time (sec) |
N/A |
0.248 |
0.11 |
0.163 |
1.596 |
1.855 |
0. |
1.237 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 330 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 76 | 152 | 84 | 319 | 0 | 263 |
normalized size |
1 |
1. |
0.47 |
0.94 |
0.52 |
1.97 |
0. |
1.62 |
time (sec) |
N/A |
0.139 |
0.058 |
0.109 |
1.665 |
1.882 |
0. |
1.16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 331 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 48 | 100 | 49 | 165 | 206 | 96 |
normalized size | 1 | 1. | 0.65 | 1.35 | 0.66 | 2.23 | 2.78 | 1.3 |
time (sec) |
N/A |
0.112 |
0.038 |
0.112 |
1.653 |
1.847 |
31.182 |
1.163 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 332 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 44 | 0 | 53 | 97 | 0 | 115 |
normalized size | 1 | 1. | 0.96 | 0. | 1.15 | 2.11 | 0. | 2.5 |
time (sec) |
N/A |
0.129 |
0.051 |
180. |
1.602 |
1.821 |
0. |
1.21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 333 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 46 | 0 | 113 | 300 | 0 | 117 |
normalized size |
1 |
1. |
0.79 |
0. |
1.95 |
5.17 |
0. |
2.02 |
time (sec) |
N/A |
0.143 |
0.069 |
180. |
1.567 |
1.76 |
0. |
1.231 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 334 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 72 | 0 | 282 | 797 | 0 | 165 |
normalized size |
1 |
1. |
0.49 |
0. |
1.92 |
5.42 |
0. |
1.12 |
time (sec) |
N/A |
0.214 |
0.07 |
180. |
1.626 |
1.874 |
0. |
1.291 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 335 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 199 | 199 | 84 | 0 | 521 | 1512 | 0 | 217 |
normalized size |
1 |
1. |
0.42 |
0. |
2.62 |
7.6 |
0. |
1.09 |
time (sec) |
N/A |
0.279 |
0.078 |
180. |
1.751 |
1.986 |
0. |
1.332 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 336 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 28 | 62 | 0 | 134 | 99 | 43 |
normalized size |
1 |
1. |
0.68 |
1.51 |
0. |
3.27 |
2.41 |
1.05 |
time (sec) |
N/A |
0.013 |
0.048 |
0.016 |
0. |
1.746 |
0.843 |
1.164 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 337 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 80 | 72 | 88 | 286 | 0 | 99 |
normalized size | 1 | 1. | 0.94 | 0.85 | 1.04 | 3.36 | 0. | 1.16 |
time (sec) |
N/A |
0.081 |
0.091 |
0.109 |
1.121 |
1.784 |
0. |
1.159 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 338 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 92 | 97 | 109 | 367 | 0 | 123 |
normalized size | 1 | 1. | 0.91 | 0.96 | 1.08 | 3.63 | 0. | 1.22 |
time (sec) |
N/A |
0.147 |
0.167 |
0.099 |
1.155 |
1.781 |
0. |
1.125 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 339 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
C |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 51 | 52 | 61 | 130 | 0 | 61 |
normalized size | 1 | 1. | 0.78 | 0.8 | 0.94 | 2. | 0. | 0.94 |
time (sec) |
N/A |
0.065 |
0.066 |
0.073 |
1.061 |
1.889 |
0. |
1.131 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 340 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 72 | 48 | 63 | 235 | 0 | 66 |
normalized size | 1 | 1. | 1.11 | 0.74 | 0.97 | 3.62 | 0. | 1.02 |
time (sec) |
N/A |
0.083 |
0.107 |
0.073 |
1.088 |
1.868 |
0. |
1.144 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 341 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 123 | 105 | 120 | 467 | 0 | 136 |
normalized size | 1 | 1. | 1.07 | 0.91 | 1.04 | 4.06 | 0. | 1.18 |
time (sec) |
N/A |
0.168 |
0.396 |
0.145 |
1.064 |
1.824 |
0. |
1.245 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 342 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 103 | 100 | 122 | 591 | 0 | 143 |
normalized size | 1 | 1. | 0.94 | 0.91 | 1.11 | 5.37 | 0. | 1.3 |
time (sec) |
N/A |
0.154 |
0.138 |
0.134 |
1.06 |
1.942 |
0. |
1.219 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 343 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 149 | 126 | 171 | 826 | 0 | 481 |
normalized size | 1 | 1. | 1.01 | 0.85 | 1.16 | 5.58 | 0. | 3.25 |
time (sec) |
N/A |
0.194 |
0.752 |
0.173 |
1.626 |
1.836 |
0. |
1.318 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 344 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 239 | 239 | 287 | 207 | 270 | 1287 | 0 | 301 |
normalized size | 1 | 1. | 1.2 | 0.87 | 1.13 | 5.38 | 0. | 1.26 |
time (sec) |
N/A |
0.286 |
0.417 |
0.207 |
1.614 |
1.916 |
0. |
1.34 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 345 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 124 | 126 | 138 | 699 | 0 | 181 |
normalized size | 1 | 1. | 1.08 | 1.1 | 1.2 | 6.08 | 0. | 1.57 |
time (sec) |
N/A |
0.225 |
0.31 |
0.109 |
1.075 |
1.845 |
0. |
1.282 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 346 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 220 | 158 | 193 | 956 | 0 | 527 |
normalized size | 1 | 1. | 1.37 | 0.98 | 1.2 | 5.94 | 0. | 3.27 |
time (sec) |
N/A |
0.284 |
0.625 |
0.142 |
1.533 |
1.88 |
0. |
1.353 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 347 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 257 | 257 | 354 | 265 | 308 | 1519 | 0 | 385 |
normalized size |
1 |
1. |
1.38 |
1.03 |
1.2 |
5.91 |
0. |
1.5 |
time (sec) |
N/A |
0.477 |
0.767 |
0.179 |
1.583 |
1.941 |
0. |
1.303 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 348 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 104 | 117 | 142 | 598 | 0 | 178 |
normalized size | 1 | 1. | 0.78 | 0.88 | 1.07 | 4.5 | 0. | 1.34 |
time (sec) |
N/A |
0.198 |
0.158 |
0.106 |
1.033 |
1.764 |
0. |
1.237 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 349 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 131 | 139 | 177 | 676 | 0 | 203 |
normalized size | 1 | 1. | 0.81 | 0.86 | 1.1 | 4.2 | 0. | 1.26 |
time (sec) |
N/A |
0.226 |
0.264 |
0.122 |
1.071 |
1.808 |
0. |
1.298 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 350 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 214 | 234 | 285 | 1202 | 0 | 356 |
normalized size | 1 | 1. | 0.79 | 0.86 | 1.05 | 4.44 | 0. | 1.31 |
time (sec) |
N/A |
0.345 |
0.451 |
0.146 |
1.082 |
1.839 |
0. |
1.218 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 351 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 76 | 70 | 93 | 410 | 0 | 101 |
normalized size | 1 | 1. | 0.94 | 0.86 | 1.15 | 5.06 | 0. | 1.25 |
time (sec) |
N/A |
0.17 |
0.341 |
0.084 |
1.084 |
1.904 |
0. |
1.288 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 352 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 179 | 101 | 135 | 720 | 0 | 144 |
normalized size | 1 | 1. | 1.4 | 0.79 | 1.05 | 5.62 | 0. | 1.12 |
time (sec) |
N/A |
0.204 |
0.534 |
0.098 |
1.069 |
1.913 |
0. |
1.276 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 353 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 171 | 171 | 272 | 144 | 193 | 1300 | 0 | 209 |
normalized size |
1 |
1. |
1.59 |
0.84 |
1.13 |
7.6 |
0. |
1.22 |
time (sec) |
N/A |
0.3 |
1.207 |
0.125 |
1.076 |
2.083 |
0. |
1.31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 354 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 166 | 147 | 171 | 853 | 0 | 232 |
normalized size | 1 | 1. | 1.19 | 1.05 | 1.22 | 6.09 | 0. | 1.66 |
time (sec) |
N/A |
0.321 |
0.73 |
0.175 |
1.049 |
2.037 |
0. |
1.304 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 355 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 183 | 258 | 177 | 217 | 1118 | 0 | 267 |
normalized size | 1 | 1. | 1.41 | 0.97 | 1.19 | 6.11 | 0. | 1.46 |
time (sec) |
N/A |
0.334 |
1.427 |
0.185 |
1.071 |
1.935 |
0. |
1.274 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 356 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 300 | 300 | 480 | 302 | 355 | 2218 | 0 | 475 |
normalized size |
1 |
1. |
1.6 |
1.01 |
1.18 |
7.39 |
0. |
1.58 |
time (sec) |
N/A |
0.587 |
5.804 |
0.241 |
1.086 |
2.165 |
0. |
1.375 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 357 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 135 | 156 | 174 | 717 | 0 | 228 |
normalized size | 1 | 1. | 0.88 | 1.02 | 1.14 | 4.69 | 0. | 1.49 |
time (sec) |
N/A |
0.301 |
0.335 |
0.116 |
1.057 |
1.952 |
0. |
1.232 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 358 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 219 | 219 | 183 | 211 | 250 | 933 | 0 | 304 |
normalized size | 1 | 1. | 0.84 | 0.96 | 1.14 | 4.26 | 0. | 1.39 |
time (sec) |
N/A |
0.364 |
0.615 |
0.184 |
1.061 |
1.975 |
0. |
1.28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 359 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 315 | 315 | 263 | 316 | 355 | 1434 | 0 | 463 |
normalized size |
1 |
1. |
0.83 |
1. |
1.13 |
4.55 |
0. |
1.47 |
time (sec) |
N/A |
0.462 |
0.984 |
0.163 |
1.094 |
2.044 |
0. |
1.252 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 360 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 154 | 154 | 179 | 160 | 188 | 876 | 0 | 244 |
normalized size | 1 | 1. | 1.16 | 1.04 | 1.22 | 5.69 | 0. | 1.58 |
time (sec) |
N/A |
0.332 |
0.786 |
0.184 |
1.057 |
1.872 |
0. |
1.277 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 361 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 257 | 217 | 269 | 1269 | 0 | 323 |
normalized size |
1 |
1. |
1.14 |
0.96 |
1.2 |
5.64 |
0. |
1.44 |
time (sec) |
N/A |
0.395 |
2.192 |
0.208 |
1.104 |
1.894 |
0. |
1.295 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 362 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 323 | 323 | 2511 | 326 | 387 | 2248 | 0 | 498 |
normalized size |
1 |
1. |
7.77 |
1.01 |
1.2 |
6.96 |
0. |
1.54 |
time (sec) |
N/A |
0.53 |
6.499 |
0.248 |
1.121 |
2.02 |
0. |
1.246 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 363 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 252 | 186 | 204 | 973 | 0 | 282 |
normalized size | 1 | 1. | 1.57 | 1.16 | 1.27 | 6.04 | 0. | 1.75 |
time (sec) |
N/A |
0.449 |
1.525 |
0.136 |
1.067 |
1.894 |
0. |
1.235 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 364 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 239 | 239 | 339 | 249 | 290 | 1382 | 0 | 369 |
normalized size |
1 |
1. |
1.42 |
1.04 |
1.21 |
5.78 |
0. |
1.54 |
time (sec) |
N/A |
0.546 |
6.061 |
0.167 |
1.081 |
2.156 |
0. |
1.248 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 365 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 344 | 344 | 2991 | 384 | 425 | 2453 | 0 | 582 |
normalized size |
1 |
1. |
8.69 |
1.12 |
1.24 |
7.13 |
0. |
1.69 |
time (sec) |
N/A |
0.779 |
6.647 |
0.209 |
1.124 |
2.146 |
0. |
1.323 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 366 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 25 | 47 | 80 | 41 | 47 |
normalized size | 1 | 1. | 1. | 0.83 | 1.57 | 2.67 | 1.37 | 1.57 |
time (sec) |
N/A |
0.038 |
0.056 |
0.01 |
1.071 |
1.807 |
0.202 |
1.294 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 367 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 48 | 52 | 109 | 192 | 85 | 101 |
normalized size | 1 | 1. | 0.86 | 0.93 | 1.95 | 3.43 | 1.52 | 1.8 |
time (sec) |
N/A |
0.077 |
0.084 |
0.008 |
1.035 |
2.07 |
0.455 |
1.247 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 368 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 213 | 213 | 180 | 212 | 0 | 624 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
1. |
0. |
2.93 |
0. |
0. |
time (sec) |
N/A |
0.556 |
0.314 |
0.039 |
0. |
2.183 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 369 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 248 | 370 | 0 | 1445 | 0 | 0 |
normalized size |
1 |
1. |
0.92 |
1.37 |
0. |
5.33 |
0. |
0. |
time (sec) |
N/A |
0.809 |
0.515 |
0.039 |
0. |
2.227 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [320] had the largest ratio of [ 1.5
]
|
|
|
|
|
|
|
| Table 2.1Rubi 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. |
6 |
0.167 |
|
|
|
|
|
|
|
2 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
3 |
A |
2 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
4 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
5 |
A |
2 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
6 |
A |
4 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
7 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
8 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
9 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
10 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
11 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
12 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
13 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
14 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
15 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
16 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
17 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
18 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
19 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
20 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
|
21 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
22 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
23 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
24 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
25 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
26 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
27 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
28 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
29 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
30 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
31 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
32 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
33 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
34 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
35 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
36 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
37 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
38 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
39 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
40 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
|
41 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
42 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
43 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
44 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
45 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
46 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
47 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
48 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
49 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
51 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
52 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
53 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
54 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
55 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
56 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
57 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
58 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
59 |
A |
4 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
60 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
|
61 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
62 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
63 |
A |
4 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
64 |
A |
3 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
65 |
A |
3 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
66 |
A |
3 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
67 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
68 |
A |
1 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
69 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
70 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
71 |
A |
4 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
72 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
73 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
74 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
75 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
76 |
A |
5 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
77 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
78 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
79 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
80 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
|
81 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
82 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
83 |
A |
5 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
84 |
A |
6 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
85 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
86 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
87 |
A |
9 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
88 |
A |
4 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
89 |
A |
6 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
90 |
A |
7 |
6 |
1. |
14 |
0.429 |
|
|
|
|
|
|
|
91 |
A |
8 |
6 |
1. |
14 |
0.429 |
|
|
|
|
|
|
|
92 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
93 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
94 |
A |
4 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
95 |
A |
5 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
96 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
97 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
98 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
99 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
100 |
A |
2 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
|
101 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
102 |
A |
5 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
103 |
A |
6 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
104 |
A |
7 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
105 |
A |
7 |
7 |
1. |
10 |
0.7 |
|
|
|
|
|
|
|
106 |
A |
6 |
6 |
1. |
10 |
0.6 |
|
|
|
|
|
|
|
107 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
108 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
109 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
110 |
A |
7 |
7 |
1. |
10 |
0.7 |
|
|
|
|
|
|
|
111 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
112 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
113 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
114 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
115 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
116 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
117 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
118 |
A |
4 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
119 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
120 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
|
121 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
122 |
A |
4 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
123 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
124 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
125 |
A |
4 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
126 |
A |
8 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
127 |
A |
7 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
128 |
A |
6 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
129 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
130 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
131 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
132 |
A |
7 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
133 |
A |
4 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
134 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
135 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
136 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
137 |
A |
5 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
138 |
A |
6 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
139 |
A |
7 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
140 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
|
141 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
142 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
143 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
144 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
145 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
146 |
A |
7 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
147 |
A |
5 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
148 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
149 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
150 |
A |
5 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
151 |
A |
7 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
152 |
A |
7 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
153 |
A |
5 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
154 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
155 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
156 |
A |
3 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
157 |
A |
3 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
158 |
A |
5 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
159 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
160 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
|
161 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
162 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
163 |
A |
2 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
164 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
165 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
166 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
167 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
168 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
169 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
170 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
171 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
172 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
173 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
174 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
175 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
176 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
177 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
178 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
179 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
180 |
A |
4 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
|
181 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
182 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
183 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
184 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
185 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
186 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
187 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
188 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
189 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
190 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
191 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
192 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
193 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
194 |
A |
6 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
195 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
196 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
197 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
198 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
199 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
200 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
|
201 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
202 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
203 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
204 |
A |
7 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
205 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
206 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
207 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
208 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
209 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
210 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
211 |
A |
5 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
212 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
213 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
214 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
215 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
216 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
217 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
218 |
A |
10 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
219 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
220 |
A |
10 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
|
221 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
222 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
223 |
A |
7 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
224 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
225 |
A |
9 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
226 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
227 |
A |
11 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
228 |
A |
13 |
9 |
1. |
13 |
0.692 |
|
|
|
|
|
|
|
229 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
230 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
231 |
A |
6 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
232 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
233 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
234 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
235 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
236 |
A |
16 |
9 |
1. |
13 |
0.692 |
|
|
|
|
|
|
|
237 |
A |
7 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
238 |
A |
13 |
9 |
1. |
13 |
0.692 |
|
|
|
|
|
|
|
239 |
A |
6 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
240 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
|
241 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
242 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
243 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
244 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
245 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
246 |
A |
7 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
247 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
248 |
A |
5 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
249 |
A |
11 |
9 |
1. |
15 |
0.6 |
|
|
|
|
|
|
|
250 |
A |
9 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
251 |
A |
12 |
11 |
1. |
15 |
0.733 |
|
|
|
|
|
|
|
252 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
253 |
A |
7 |
7 |
1. |
31 |
0.226 |
|
|
|
|
|
|
|
254 |
A |
8 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
255 |
A |
9 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
256 |
A |
10 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
257 |
A |
13 |
8 |
1. |
14 |
0.571 |
|
|
|
|
|
|
|
258 |
A |
11 |
7 |
1. |
14 |
0.5 |
|
|
|
|
|
|
|
259 |
A |
9 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
260 |
A |
13 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
|
261 |
A |
5 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
262 |
A |
4 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
263 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
264 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
265 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
266 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
267 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
268 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
269 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
270 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
271 |
A |
2 |
2 |
1. |
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. |
15 |
0.067 |
|
|
|
|
|
|
|
275 |
A |
3 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
276 |
A |
3 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
277 |
A |
4 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
278 |
A |
3 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
279 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
280 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
|
281 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
282 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
283 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
284 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
285 |
A |
8 |
8 |
1. |
18 |
0.444 |
|
|
|
|
|
|
|
286 |
A |
6 |
6 |
1. |
18 |
0.333 |
|
|
|
|
|
|
|
287 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
288 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
289 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
290 |
A |
5 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
291 |
A |
6 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
292 |
A |
5 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
293 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
294 |
A |
9 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
295 |
A |
5 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
296 |
A |
6 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
297 |
A |
9 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
298 |
A |
6 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
299 |
A |
7 |
7 |
1. |
19 |
0.368 |
|
|
|
|
|
|
|
300 |
A |
10 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
|
301 |
A |
4 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
302 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
303 |
A |
4 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
304 |
A |
4 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
305 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
306 |
A |
4 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
307 |
A |
3 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
308 |
A |
6 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
309 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
310 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
311 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
312 |
A |
5 |
5 |
1. |
8 |
0.625 |
|
|
|
|
|
|
|
313 |
A |
6 |
6 |
1. |
10 |
0.6 |
|
|
|
|
|
|
|
314 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
315 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
316 |
A |
9 |
9 |
1. |
8 |
1.125 |
|
|
|
|
|
|
|
317 |
A |
13 |
9 |
1. |
10 |
0.9 |
|
|
|
|
|
|
|
318 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
319 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
320 |
A |
15 |
12 |
1. |
8 |
1.5 |
|
|
|
|
|
|
|
|
321 |
A |
16 |
13 |
1. |
10 |
1.3 |
|
|
|
|
|
|
|
322 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
323 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
324 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
325 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
326 |
A |
1 |
1 |
1. |
18 |
0.056 |
|
|
|
|
|
|
|
327 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
328 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
329 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
330 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
331 |
A |
5 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
332 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
333 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
334 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
335 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
336 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
337 |
A |
6 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
338 |
A |
6 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
339 |
A |
6 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
340 |
A |
4 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
|
341 |
A |
6 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
342 |
A |
8 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
343 |
A |
9 |
6 |
1. |
18 |
0.333 |
|
|
|
|
|
|
|
344 |
A |
14 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
345 |
A |
8 |
5 |
1. |
19 |
0.263 |
|
|
|
|
|
|
|
346 |
A |
9 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
347 |
A |
14 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
348 |
A |
8 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
349 |
A |
9 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
350 |
A |
14 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
351 |
A |
6 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
352 |
A |
7 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
353 |
A |
10 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
354 |
A |
8 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
355 |
A |
9 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
356 |
A |
14 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
357 |
A |
8 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
358 |
A |
10 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
359 |
A |
14 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
360 |
A |
8 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
|
361 |
A |
10 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
362 |
A |
14 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
363 |
A |
8 |
5 |
1. |
24 |
0.208 |
|
|
|
|
|
|
|
364 |
A |
10 |
5 |
1. |
26 |
0.192 |
|
|
|
|
|
|
|
365 |
A |
14 |
5 |
1. |
26 |
0.192 |
|
|
|
|
|
|
|
366 |
A |
6 |
5 |
1. |
6 |
0.833 |
|
|
|
|
|
|
|
367 |
A |
9 |
6 |
1. |
6 |
1. |
|
|
|
|
|
|
|
368 |
A |
8 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
369 |
A |
8 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|