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, 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
}
B grade: { }
C grade: { 301 }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 51, 52,
53, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 76, 77, 78, 79, 80, 81,
82, 84, 85, 89, 90, 92, 93, 95, 96, 97, 98, 99, 100, 103, 104, 105, 106, 107, 108, 137, 163, 164,
165, 168, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 198, 202, 203, 204, 211, 214,
215, 216, 217, 218, 220, 221, 223, 225, 226, 227, 231, 234, 235, 236, 237, 238, 239, 240, 242,
244, 245, 246, 247, 251, 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, 294, 295, 296, 297, 298, 299, 300, 302, 303, 326, 342, 343, 344, 345, 349
}
B grade: { 50, 72, 224, 243, 293, 341, 346, 347, 348 }
C grade: { 46, 54, 63, 75, 83, 86, 87, 88, 91, 94, 101, 102, 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, 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, 166,
167, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 191, 192, 193, 194, 195, 196, 197, 199, 200, 201,
205, 206, 207, 208, 209, 210, 212, 213, 219, 222, 228, 229, 230, 232, 233, 241, 248, 249, 250, 252, 253, 254,
292, 301, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320,
321, 322, 323, 324, 325, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340
}
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, 20, 21, 22, 23, 24, 25, 30, 31, 32, 33, 34, 38,
39, 41, 42, 43, 44, 45, 46, 47, 48, 53, 54, 55, 56, 62, 63, 64, 65, 71, 74, 75, 76, 77, 81, 82, 83, 84, 85, 89, 90,
91, 92, 93, 97, 98, 99, 100, 105, 106, 108, 137, 163, 164, 165, 166, 167, 168, 169, 172, 173, 174, 175, 178,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 203,
204, 207, 208, 209, 210, 211, 212, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 233, 234, 235, 236, 237, 238, 239, 240, 242, 243, 244, 245, 246, 247, 248, 249,
250, 251, 253, 254, 255, 256, 257, 258, 261, 262, 265, 266, 267, 268, 269, 270, 271, 272, 273,
274, 277, 279, 280, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 349
}
B grade: { 18, 19, 26, 27, 28, 29, 35, 36, 37, 40, 49, 50, 51, 52, 57, 58, 59, 60, 61, 66, 67, 68, 69, 70, 72, 73,
78, 79, 80, 86, 87, 88, 94, 95, 96, 101, 102, 103, 104, 107, 170, 171, 176, 177, 179, 205, 206, 213, 259, 260,
263, 264, 275, 276, 278, 281, 302, 303 }
C grade: { 180, 197, 232, 241, 252, 294 }
F grade: { 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, 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, 297, 298, 299, 300, 301, 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
}
2.1.4 Maxima
A grade: { 1, 2, 3, 4, 8, 9, 10, 14, 15, 16, 43, 44, 85, 92, 93, 98, 99, 100, 108, 137, 163
B grade: { 72, 73, 97 }
C grade: { }
F grade: { 5, 6, 7, 11, 12, 13, 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, 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, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 91, 94, 95,
96, 101, 102, 103, 104, 105, 106, 107, 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, 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, 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
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 20, 21, 22, 23, 24, 25, 30, 31, 32, 39, 43, 44, 45, 46,
47, 48, 49, 53, 54, 55, 56, 57, 58, 62, 63, 64, 65, 66, 67, 71, 74, 75, 76, 77, 81, 82, 83, 84, 85, 89, 90, 91, 92,
93, 97, 98, 99, 100, 105, 106, 137, 163, 164, 244, 349 }
B grade: { 12, 13, 18, 19, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 40, 41, 42, 50, 51, 52, 59, 60, 61, 68,
69, 70, 73, 78, 79, 80, 86, 87, 88, 94, 95, 96, 101, 102, 103, 104, 107, 108, 146, 147, 148, 149,
160, 162, 165, 180, 224, 231, 251, 304, 305, 306, 307, 308, 309, 312, 314, 315, 316, 317, 320
}
C grade: { 313 }
F grade: { 72, 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, 138, 139, 140, 141, 142, 143, 144, 145, 150, 151, 152, 153,
154, 155, 156, 157, 158, 159, 161, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178,
179, 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, 225, 226, 227, 228, 229, 230, 232, 233, 234, 235, 236, 237, 238,
239, 240, 241, 242, 243, 245, 246, 247, 248, 249, 250, 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, 310, 311, 318, 319, 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
}
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 7, 8, 9, 10, 14, 15, 16, 39, 43, 44, 47, 48, 56, 65, 74, 75, 76, 77, 84, 85, 109, 110, 111,
116, 117, 118, 122, 123, 124, 125, 131, 138, 180, 184, 185, 186, 188, 189, 190, 218, 220, 222, 224, 225, 226,
227, 231, 235, 236, 237, 246, 254, 256, 291 }
B grade: { 5, 6, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 45,
46, 53, 54, 55, 62, 63, 64, 92, 93, 99, 100, 108, 187, 221, 234 }
C grade: { 241, 245, 247, 342, 343, 344, 345 }
F grade: { 26, 34, 40, 41, 42, 49, 50, 51, 52, 57, 58, 59, 60, 61, 66, 67, 68, 69, 70, 71, 72, 73, 78, 79, 80, 81,
82, 83, 86, 87, 88, 89, 90, 91, 94, 95, 96, 97, 98, 101, 102, 103, 104, 105, 106, 107, 112, 113, 114, 115, 119,
120, 121, 126, 127, 128, 129, 130, 132, 133, 134, 135, 136, 137, 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, 181, 182, 183, 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, 219, 223, 228, 229, 230, 232, 233, 238, 239, 240, 242, 243, 244,
248, 249, 250, 251, 252, 253, 255, 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, 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, 346, 347, 348, 349
}
2.1.7 Giac
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,
31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 53, 54, 55, 56, 57, 62, 63, 64, 65, 66, 74,
75, 76, 77, 78, 81, 82, 83, 84, 85, 86, 89, 90, 91, 92, 93, 97, 98, 99, 100, 101, 105, 107, 108, 180
}
B grade: { 24, 33, 42, 50, 51, 52, 58, 59, 60, 61, 67, 68, 69, 70, 71, 72, 73, 79, 80, 87, 88, 94, 95, 96, 102,
103, 104, 106, 224 }
C grade: { 231 }
F grade: { 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, 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, 225, 226, 227, 228, 229, 230, 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
}
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 |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 94 | 97 | 130 | 231 | 107 | 132 |
normalized size | 1 | 1. | 1. | 1.03 | 1.38 | 2.46 | 1.14 | 1.4 |
time (sec) |
N/A |
0.064 |
0.019 |
0.002 |
1.14 |
1.588 |
0.075 |
1.828 |
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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 |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 70 | 73 | 95 | 169 | 76 | 99 |
normalized size | 1 | 1. | 1. | 1.04 | 1.36 | 2.41 | 1.09 | 1.41 |
time (sec) |
N/A |
0.042 |
0.014 |
0.002 |
0.962 |
1.556 |
0.069 |
1.143 |
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Problem 3 |
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 | 50 | 50 | 50 | 49 | 65 | 120 | 53 | 68 |
normalized size | 1 | 1. | 1. | 0.98 | 1.3 | 2.4 | 1.06 | 1.36 |
time (sec) |
N/A |
0.027 |
0.011 |
0.001 |
1.02 |
1.561 |
0.065 |
1.076 |
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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 | 28 | 28 | 28 | 25 | 32 | 66 | 26 | 35 |
normalized size | 1 | 1. | 1. | 0.89 | 1.14 | 2.36 | 0.93 | 1.25 |
time (sec) |
N/A |
0.013 |
0.005 |
0.001 |
1.466 |
1.517 |
0.054 |
1.084 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 40 | 45 | 0 | 223 | 82 | 46 |
normalized size |
1 |
1. |
1. |
1.12 |
0. |
5.58 |
2.05 |
1.15 |
time (sec) |
N/A |
0.02 |
0.023 |
0.004 |
0. |
1.775 |
0.387 |
1.069 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 68 | 0 | 381 | 112 | 77 |
normalized size |
1 |
1. |
1. |
1.08 |
0. |
6.05 |
1.78 |
1.22 |
time (sec) |
N/A |
0.02 |
0.044 |
0.007 |
0. |
1.624 |
0.517 |
1.262 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 82 | 90 | 0 | 621 | 150 | 105 |
normalized size |
1 |
1. |
0.89 |
0.98 |
0. |
6.75 |
1.63 |
1.14 |
time (sec) |
N/A |
0.031 |
0.058 |
0.007 |
0. |
1.771 |
0.689 |
1.3 |
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Problem 8 |
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 | 122 | 122 | 122 | 125 | 167 | 296 | 136 | 177 |
normalized size | 1 | 1. | 1. | 1.02 | 1.37 | 2.43 | 1.11 | 1.45 |
time (sec) |
N/A |
0.074 |
0.022 |
0.001 |
0.978 |
1.482 |
0.079 |
1.289 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 82 | 87 | 111 | 209 | 97 | 123 |
normalized size | 1 | 1. | 1. | 1.06 | 1.35 | 2.55 | 1.18 | 1.5 |
time (sec) |
N/A |
0.046 |
0.016 |
0.001 |
0.976 |
1.612 |
0.072 |
1.183 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 10 |
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 | 50 | 50 | 50 | 49 | 65 | 120 | 53 | 68 |
normalized size | 1 | 1. | 1. | 0.98 | 1.3 | 2.4 | 1.06 | 1.36 |
time (sec) |
N/A |
0.028 |
0.007 |
0.001 |
0.987 |
1.473 |
0.063 |
1.241 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 59 | 95 | 0 | 390 | 172 | 97 |
normalized size |
1 |
1. |
0.94 |
1.51 |
0. |
6.19 |
2.73 |
1.54 |
time (sec) |
N/A |
0.043 |
0.048 |
0.003 |
0. |
1.841 |
0.526 |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 89 | 129 | 0 | 612 | 236 | 128 |
normalized size |
1 |
1. |
1.09 |
1.57 |
0. |
7.46 |
2.88 |
1.56 |
time (sec) |
N/A |
0.099 |
0.059 |
0.007 |
0. |
1.858 |
0.842 |
1.065 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 121 | 147 | 0 | 921 | 223 | 170 |
normalized size |
1 |
1. |
1.04 |
1.27 |
0. |
7.94 |
1.92 |
1.47 |
time (sec) |
N/A |
0.072 |
0.093 |
0.009 |
0. |
1.757 |
1.161 |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
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 | 154 | 154 | 161 | 177 | 225 | 414 | 189 | 252 |
normalized size | 1 | 1. | 1.05 | 1.15 | 1.46 | 2.69 | 1.23 | 1.64 |
time (sec) |
N/A |
0.103 |
0.028 |
0.001 |
1.081 |
1.509 |
0.086 |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 122 | 125 | 167 | 296 | 136 | 177 |
normalized size | 1 | 1. | 1. | 1.02 | 1.37 | 2.43 | 1.11 | 1.45 |
time (sec) |
N/A |
0.07 |
0.021 |
0.002 |
0.983 |
1.476 |
0.081 |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 16 |
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 | 70 | 70 | 70 | 73 | 95 | 169 | 76 | 99 |
normalized size | 1 | 1. | 1. | 1.04 | 1.36 | 2.41 | 1.09 | 1.41 |
time (sec) |
N/A |
0.044 |
0.012 |
0.001 |
0.949 |
1.419 |
0.068 |
1.102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 93 | 161 | 0 | 613 | 240 | 176 |
normalized size |
1 |
1. |
0.95 |
1.64 |
0. |
6.26 |
2.45 |
1.8 |
time (sec) |
N/A |
0.064 |
0.06 |
0.003 |
0. |
1.751 |
0.671 |
1.284 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 107 | 205 | 0 | 896 | 313 | 205 |
normalized size |
1 |
1. |
1. |
1.92 |
0. |
8.37 |
2.93 |
1.92 |
time (sec) |
N/A |
0.096 |
0.058 |
0.01 |
0. |
1.791 |
1.22 |
1.636 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 141 | 266 | 0 | 1224 | 422 | 243 |
normalized size |
1 |
1. |
1.08 |
2.05 |
0. |
9.42 |
3.25 |
1.87 |
time (sec) |
N/A |
0.165 |
0.078 |
0.01 |
0. |
1.93 |
2.189 |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 136 | 246 | 0 | 892 | 323 | 267 |
normalized size |
1 |
1. |
0.96 |
1.73 |
0. |
6.28 |
2.27 |
1.88 |
time (sec) |
N/A |
0.093 |
0.086 |
0.004 |
0. |
1.851 |
0.882 |
1.114 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 92 | 161 | 0 | 613 | 240 | 174 |
normalized size |
1 |
1. |
0.94 |
1.64 |
0. |
6.26 |
2.45 |
1.78 |
time (sec) |
N/A |
0.059 |
0.066 |
0.003 |
0. |
1.698 |
0.699 |
1.169 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 59 | 95 | 0 | 390 | 172 | 97 |
normalized size |
1 |
1. |
0.94 |
1.51 |
0. |
6.19 |
2.73 |
1.54 |
time (sec) |
N/A |
0.041 |
0.049 |
0.003 |
0. |
2.086 |
0.538 |
1.123 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 40 | 45 | 0 | 223 | 82 | 45 |
normalized size |
1 |
1. |
1.03 |
1.15 |
0. |
5.72 |
2.1 |
1.15 |
time (sec) |
N/A |
0.015 |
0.025 |
0.003 |
0. |
2.099 |
0.4 |
1.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 61 | 55 | 0 | 608 | 712 | 257 |
normalized size |
1 |
1. |
0.87 |
0.79 |
0. |
8.69 |
10.17 |
3.67 |
time (sec) |
N/A |
0.027 |
0.044 |
0.005 |
0. |
2.075 |
2.215 |
1.225 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 95 | 144 | 0 | 1451 | 2033 | 165 |
normalized size |
1 |
1. |
0.87 |
1.32 |
0. |
13.31 |
18.65 |
1.51 |
time (sec) |
N/A |
0.084 |
0.168 |
0.009 |
0. |
2.893 |
15.033 |
1.162 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
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 | 160 | 160 | 158 | 310 | 0 | 3217 | 0 | 293 |
normalized size |
1 |
1. |
0.99 |
1.94 |
0. |
20.11 |
0. |
1.83 |
time (sec) |
N/A |
0.192 |
0.233 |
0.01 |
0. |
6.807 |
0. |
1.211 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 192 | 192 | 192 | 402 | 0 | 1675 | 498 | 413 |
normalized size |
1 |
1. |
1. |
2.09 |
0. |
8.72 |
2.59 |
2.15 |
time (sec) |
N/A |
0.163 |
0.098 |
0.009 |
0. |
1.811 |
2.288 |
1.169 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 142 | 296 | 0 | 1261 | 398 | 297 |
normalized size |
1 |
1. |
1. |
2.08 |
0. |
8.88 |
2.8 |
2.09 |
time (sec) |
N/A |
0.12 |
0.087 |
0.009 |
0. |
1.783 |
1.708 |
1.122 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 106 | 205 | 0 | 896 | 313 | 205 |
normalized size |
1 |
1. |
1. |
1.93 |
0. |
8.45 |
2.95 |
1.93 |
time (sec) |
N/A |
0.093 |
0.06 |
0.008 |
0. |
1.818 |
1.238 |
1.159 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 88 | 129 | 0 | 612 | 236 | 127 |
normalized size |
1 |
1. |
1.07 |
1.57 |
0. |
7.46 |
2.88 |
1.55 |
time (sec) |
N/A |
0.104 |
0.063 |
0.008 |
0. |
1.796 |
0.862 |
1.154 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 68 | 0 | 381 | 112 | 77 |
normalized size |
1 |
1. |
1. |
1.08 |
0. |
6.05 |
1.78 |
1.22 |
time (sec) |
N/A |
0.021 |
0.044 |
0.005 |
0. |
1.847 |
0.533 |
1.172 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 109 | 144 | 0 | 1451 | 2033 | 163 |
normalized size |
1 |
1. |
1.01 |
1.33 |
0. |
13.44 |
18.82 |
1.51 |
time (sec) |
N/A |
0.081 |
0.145 |
0.008 |
0. |
2.421 |
15.387 |
1.111 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 167 | 167 | 136 | 238 | 0 | 3294 | 3662 | 1928 |
normalized size |
1 |
1. |
0.81 |
1.43 |
0. |
19.72 |
21.93 |
11.54 |
time (sec) |
N/A |
0.201 |
0.314 |
0.013 |
0. |
6.509 |
141.098 |
1.501 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
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 | 230 | 230 | 197 | 403 | 0 | 6472 | 0 | 448 |
normalized size |
1 |
1. |
0.86 |
1.75 |
0. |
28.14 |
0. |
1.95 |
time (sec) |
N/A |
0.309 |
0.414 |
0.014 |
0. |
22.834 |
0. |
1.123 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 196 | 484 | 0 | 2195 | 614 | 459 |
normalized size |
1 |
1. |
1. |
2.47 |
0. |
11.2 |
3.13 |
2.34 |
time (sec) |
N/A |
0.227 |
0.122 |
0.013 |
0. |
1.609 |
6.524 |
1.133 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 160 | 160 | 160 | 367 | 0 | 1689 | 513 | 343 |
normalized size |
1 |
1. |
1. |
2.29 |
0. |
10.56 |
3.21 |
2.14 |
time (sec) |
N/A |
0.197 |
0.095 |
0.01 |
0. |
1.765 |
3.717 |
1.107 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 139 | 266 | 0 | 1224 | 422 | 240 |
normalized size |
1 |
1. |
1.07 |
2.05 |
0. |
9.42 |
3.25 |
1.85 |
time (sec) |
N/A |
0.166 |
0.08 |
0.009 |
0. |
1.865 |
2.189 |
1.107 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 124 | 147 | 0 | 918 | 223 | 170 |
normalized size |
1 |
1. |
1.07 |
1.27 |
0. |
7.91 |
1.92 |
1.47 |
time (sec) |
N/A |
0.077 |
0.095 |
0.008 |
0. |
1.877 |
1.191 |
1.18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
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 | 92 | 92 | 84 | 89 | 0 | 621 | 150 | 105 |
normalized size |
1 |
1. |
0.91 |
0.97 |
0. |
6.75 |
1.63 |
1.14 |
time (sec) |
N/A |
0.033 |
0.063 |
0.007 |
0. |
1.606 |
0.714 |
1.195 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 40 |
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 | 161 | 161 | 158 | 309 | 0 | 3212 | 0 | 294 |
normalized size |
1 |
1. |
0.98 |
1.92 |
0. |
19.95 |
0. |
1.83 |
time (sec) |
N/A |
0.197 |
0.265 |
0.01 |
0. |
6.134 |
0. |
1.148 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
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 | 236 | 236 | 197 | 403 | 0 | 6472 | 0 | 450 |
normalized size |
1 |
1. |
0.83 |
1.71 |
0. |
27.42 |
0. |
1.91 |
time (sec) |
N/A |
0.311 |
0.417 |
0.014 |
0. |
23.112 |
0. |
1.135 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 315 | 315 | 233 | 568 | 0 | 9997 | 0 | 4545 |
normalized size |
1 |
1. |
0.74 |
1.8 |
0. |
31.74 |
0. |
14.43 |
time (sec) |
N/A |
0.451 |
0.915 |
0.015 |
0. |
72.782 |
0. |
1.884 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 24 | 23 | 45 | 73 | 31 | 27 |
normalized size | 1 | 1. | 0.71 | 0.68 | 1.32 | 2.15 | 0.91 | 0.79 |
time (sec) |
N/A |
0.01 |
0.007 |
0.005 |
1.024 |
1.485 |
0.127 |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 41 | 33 | 65 | 159 | 46 | 73 |
normalized size | 1 | 1. | 0.87 | 0.7 | 1.38 | 3.38 | 0.98 | 1.55 |
time (sec) |
N/A |
0.016 |
0.012 |
0.007 |
1.46 |
1.532 |
0.157 |
1.444 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 231 | 231 | 181 | 310 | 0 | 886 | 484 | 271 |
normalized size |
1 |
1. |
0.78 |
1.34 |
0. |
3.84 |
2.1 |
1.17 |
time (sec) |
N/A |
0.179 |
5.108 |
0.013 |
0. |
2.334 |
17.983 |
1.808 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 160 | 190 | 0 | 585 | 291 | 174 |
normalized size |
1 |
1. |
1.07 |
1.28 |
0. |
3.93 |
1.95 |
1.17 |
time (sec) |
N/A |
0.088 |
2.476 |
0.006 |
0. |
1.816 |
10.179 |
1.144 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
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 | 87 | 87 | 85 | 96 | 0 | 371 | 144 | 95 |
normalized size |
1 |
1. |
0.98 |
1.1 |
0. |
4.26 |
1.66 |
1.09 |
time (sec) |
N/A |
0.028 |
0.155 |
0.005 |
0. |
1.651 |
5.138 |
1.14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
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 | 46 | 46 | 49 | 36 | 0 | 232 | 41 | 50 |
normalized size |
1 |
1. |
1.07 |
0.78 |
0. |
5.04 |
0.89 |
1.09 |
time (sec) |
N/A |
0.01 |
0.02 |
0. |
0. |
1.571 |
1.799 |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 84 | 932 | 0 | 1288 | 0 | 150 |
normalized size |
1 |
1. |
1.02 |
11.37 |
0. |
15.71 |
0. |
1.83 |
time (sec) |
N/A |
0.054 |
0.045 |
0.033 |
0. |
1.918 |
0. |
1.136 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
B |
F |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 165 | 2521 | 0 | 765 | 0 | 293 |
normalized size | 1 | 1. | 2.01 | 30.74 | 0. | 9.33 | 0. | 3.57 |
time (sec) |
N/A |
0.034 |
0.231 |
0.024 |
0. |
2.137 |
0. |
3.031 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 176 | 5101 | 0 | 1439 | 0 | 657 |
normalized size | 1 | 1. | 1.18 | 34.23 | 0. | 9.66 | 0. | 4.41 |
time (sec) |
N/A |
0.094 |
0.528 |
0.022 |
0. |
2.616 |
0. |
2.521 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 208 | 208 | 227 | 7922 | 0 | 2485 | 0 | 1293 |
normalized size |
1 |
1. |
1.09 |
38.09 |
0. |
11.95 |
0. |
6.22 |
time (sec) |
N/A |
0.213 |
0.957 |
0.026 |
0. |
6.191 |
0. |
21.984 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 272 | 272 | 220 | 393 | 0 | 1102 | 665 | 351 |
normalized size |
1 |
1. |
0.81 |
1.44 |
0. |
4.05 |
2.44 |
1.29 |
time (sec) |
N/A |
0.218 |
5.124 |
0.012 |
0. |
3.016 |
45.902 |
1.112 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 157 | 249 | 0 | 776 | 440 | 236 |
normalized size |
1 |
1. |
0.8 |
1.27 |
0. |
3.96 |
2.24 |
1.2 |
time (sec) |
N/A |
0.116 |
2.509 |
0.007 |
0. |
2.065 |
26.204 |
1.104 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 109 | 131 | 0 | 483 | 253 | 139 |
normalized size |
1 |
1. |
0.92 |
1.11 |
0. |
4.09 |
2.14 |
1.18 |
time (sec) |
N/A |
0.04 |
0.199 |
0.003 |
0. |
1.729 |
13.238 |
1.107 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
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 | 65 | 65 | 65 | 51 | 0 | 294 | 70 | 66 |
normalized size |
1 |
1. |
1. |
0.78 |
0. |
4.52 |
1.08 |
1.02 |
time (sec) |
N/A |
0.016 |
0.093 |
0. |
0. |
1.632 |
2.971 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 110 | 1845 | 0 | 1582 | 0 | 205 |
normalized size |
1 |
1. |
0.97 |
16.33 |
0. |
14. |
0. |
1.81 |
time (sec) |
N/A |
0.108 |
0.195 |
0.014 |
0. |
2.982 |
0. |
1.135 |
|
|
|
|
|
|
|
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|
|
|
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|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 142 | 4621 | 0 | 1941 | 0 | 428 |
normalized size | 1 | 1. | 1.08 | 35.27 | 0. | 14.82 | 0. | 3.27 |
time (sec) |
N/A |
0.09 |
0.121 |
0.016 |
0. |
2.781 |
0. |
1.165 |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 163 | 9059 | 0 | 1072 | 0 | 609 |
normalized size | 1 | 1. | 1.44 | 80.17 | 0. | 9.49 | 0. | 5.39 |
time (sec) |
N/A |
0.057 |
0.67 |
0.022 |
0. |
2.515 |
0. |
2.304 |
|
|
|
|
|
|
|
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|
|
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|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 199 | 199 | 247 | 13766 | 0 | 1994 | 0 | 1241 |
normalized size |
1 |
1. |
1.24 |
69.18 |
0. |
10.02 |
0. |
6.24 |
time (sec) |
N/A |
0.115 |
0.775 |
0.03 |
0. |
3.951 |
0. |
20.881 |
|
|
|
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|
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|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 300 | 300 | 362 | 18791 | 0 | 3330 | 0 | 2102 |
normalized size |
1 |
1. |
1.21 |
62.64 |
0. |
11.1 |
0. |
7.01 |
time (sec) |
N/A |
0.365 |
1.33 |
0.038 |
0. |
15.271 |
0. |
6.296 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 349 | 349 | 270 | 476 | 0 | 1385 | 796 | 433 |
normalized size |
1 |
1. |
0.77 |
1.36 |
0. |
3.97 |
2.28 |
1.24 |
time (sec) |
N/A |
0.247 |
5.173 |
0.015 |
0. |
4.512 |
87.831 |
1.188 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 241 | 241 | 158 | 308 | 0 | 963 | 537 | 298 |
normalized size |
1 |
1. |
0.66 |
1.28 |
0. |
4. |
2.23 |
1.24 |
time (sec) |
N/A |
0.148 |
2.624 |
0.007 |
0. |
2.996 |
50.966 |
1.176 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 130 | 166 | 0 | 605 | 316 | 182 |
normalized size |
1 |
1. |
0.87 |
1.11 |
0. |
4.06 |
2.12 |
1.22 |
time (sec) |
N/A |
0.052 |
0.222 |
0.003 |
0. |
2.243 |
26.27 |
1.153 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
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 | 84 | 84 | 76 | 66 | 0 | 347 | 97 | 85 |
normalized size |
1 |
1. |
0.9 |
0.79 |
0. |
4.13 |
1.15 |
1.01 |
time (sec) |
N/A |
0.023 |
0.103 |
0.001 |
0. |
1.635 |
4.188 |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 157 | 157 | 140 | 3053 | 0 | 2022 | 0 | 290 |
normalized size |
1 |
1. |
0.89 |
19.45 |
0. |
12.88 |
0. |
1.85 |
time (sec) |
N/A |
0.199 |
0.121 |
0.014 |
0. |
8.09 |
0. |
1.166 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 175 | 175 | 144 | 7345 | 0 | 2584 | 0 | 547 |
normalized size | 1 | 1. | 0.82 | 41.97 | 0. | 14.77 | 0. | 3.13 |
time (sec) |
N/A |
0.226 |
0.16 |
0.02 |
0. |
6.335 |
0. |
1.24 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 194 | 194 | 184 | 14133 | 0 | 3125 | 0 | 890 |
normalized size | 1 | 1. | 0.95 | 72.85 | 0. | 16.11 | 0. | 4.59 |
time (sec) |
N/A |
0.194 |
0.193 |
0.026 |
0. |
4.266 |
0. |
1.234 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 201 | 21220 | 0 | 1438 | 0 | 1142 |
normalized size |
1 |
1. |
1.4 |
147.36 |
0. |
9.99 |
0. |
7.93 |
time (sec) |
N/A |
0.073 |
0.778 |
0.033 |
0. |
3.205 |
0. |
22.01 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 249 | 249 | 306 | 28625 | 0 | 2612 | 0 | 1955 |
normalized size |
1 |
1. |
1.23 |
114.96 |
0. |
10.49 |
0. |
7.85 |
time (sec) |
N/A |
0.137 |
1.008 |
0.048 |
0. |
8.07 |
0. |
4.835 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 33 | 0 | 111 | 0 | 128 |
normalized size | 1 | 1. | 1. | 1.1 | 0. | 3.7 | 0. | 4.27 |
time (sec) |
N/A |
0.014 |
0.028 |
0.011 |
0. |
1.52 |
0. |
1.219 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
F(-1) |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 64 | 84 | 80 | 0 | 0 | 95 |
normalized size |
1 |
1. |
2.37 |
3.11 |
2.96 |
0. |
0. |
3.52 |
time (sec) |
N/A |
0.014 |
0.025 |
0.008 |
1.483 |
0. |
0. |
1.196 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
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 | 25 | 25 | 25 | 187 | 149 | 192 | 0 | 159 |
normalized size | 1 | 1. | 1. | 7.48 | 5.96 | 7.68 | 0. | 6.36 |
time (sec) |
N/A |
0.013 |
0.01 |
0.029 |
1.511 |
1.568 |
0. |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
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 | 169 | 169 | 140 | 228 | 0 | 675 | 400 | 203 |
normalized size |
1 |
1. |
0.83 |
1.35 |
0. |
3.99 |
2.37 |
1.2 |
time (sec) |
N/A |
0.145 |
5.094 |
0.012 |
0. |
1.859 |
11.967 |
1.166 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 160 | 131 | 0 | 440 | 238 | 122 |
normalized size |
1 |
1. |
1.48 |
1.21 |
0. |
4.07 |
2.2 |
1.13 |
time (sec) |
N/A |
0.056 |
2.356 |
0.006 |
0. |
1.667 |
6.267 |
1.122 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
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 | 58 | 58 | 57 | 62 | 0 | 275 | 126 | 66 |
normalized size |
1 |
1. |
0.98 |
1.07 |
0. |
4.74 |
2.17 |
1.14 |
time (sec) |
N/A |
0.017 |
0.02 |
0.004 |
0. |
1.604 |
2.506 |
1.121 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
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 | 25 | 25 | 25 | 21 | 0 | 153 | 17 | 31 |
normalized size |
1 |
1. |
1. |
0.84 |
0. |
6.12 |
0.68 |
1.24 |
time (sec) |
N/A |
0.006 |
0.005 |
0.002 |
0. |
1.579 |
0.993 |
1.17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
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 | 49 | 49 | 49 | 300 | 0 | 513 | 0 | 95 |
normalized size |
1 |
1. |
1. |
6.12 |
0. |
10.47 |
0. |
1.94 |
time (sec) |
N/A |
0.022 |
0.018 |
0.013 |
0. |
1.991 |
0. |
1.143 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 126 | 809 | 0 | 957 | 0 | 327 |
normalized size |
1 |
1. |
1.25 |
8.01 |
0. |
9.48 |
0. |
3.24 |
time (sec) |
N/A |
0.049 |
0.287 |
0.015 |
0. |
2.768 |
0. |
1.186 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 192 | 1815 | 0 | 1750 | 0 | 726 |
normalized size |
1 |
1. |
1.18 |
11.13 |
0. |
10.74 |
0. |
4.45 |
time (sec) |
N/A |
0.119 |
0.622 |
0.02 |
0. |
4.639 |
0. |
3.546 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 257 | 257 | 172 | 340 | 0 | 1272 | 0 | 317 |
normalized size |
1 |
1. |
0.67 |
1.32 |
0. |
4.95 |
0. |
1.23 |
time (sec) |
N/A |
0.259 |
5.196 |
0.017 |
0. |
2.327 |
0. |
1.155 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 122 | 219 | 0 | 888 | 0 | 212 |
normalized size |
1 |
1. |
0.72 |
1.3 |
0. |
5.25 |
0. |
1.25 |
time (sec) |
N/A |
0.197 |
5.097 |
0.008 |
0. |
1.81 |
0. |
1.161 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 105 | 160 | 123 | 0 | 597 | 0 | 124 |
normalized size |
1 |
1.17 |
1.78 |
1.37 |
0. |
6.63 |
0. |
1.38 |
time (sec) |
N/A |
0.062 |
2.369 |
0.006 |
0. |
1.638 |
0. |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
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 | 54 | 54 | 70 | 54 | 0 | 367 | 60 | 68 |
normalized size |
1 |
1. |
1.3 |
1. |
0. |
6.8 |
1.11 |
1.26 |
time (sec) |
N/A |
0.017 |
0.058 |
0.004 |
0. |
1.545 |
3.704 |
1.176 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 15 | 19 | 47 | 17 | 19 |
normalized size | 1 | 1. | 1. | 0.94 | 1.19 | 2.94 | 1.06 | 1.19 |
time (sec) |
N/A |
0.002 |
0.003 |
0.002 |
0.976 |
1.491 |
0.534 |
1.147 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 309 | 618 | 0 | 911 | 0 | 144 |
normalized size |
1 |
1. |
3.91 |
7.82 |
0. |
11.53 |
0. |
1.82 |
time (sec) |
N/A |
0.039 |
0.682 |
0.013 |
0. |
2.362 |
0. |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F(-2) |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 143 | 758 | 1439 | 0 | 1706 | 0 | 429 |
normalized size |
1 |
1. |
5.3 |
10.06 |
0. |
11.93 |
0. |
3. |
time (sec) |
N/A |
0.109 |
2.528 |
0.017 |
0. |
4.487 |
0. |
5.46 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F(-2) |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 1392 | 2919 | 0 | 2967 | 0 | 868 |
normalized size |
1 |
1. |
6.19 |
12.97 |
0. |
13.19 |
0. |
3.86 |
time (sec) |
N/A |
0.243 |
4.771 |
0.02 |
0. |
9.686 |
0. |
14.873 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 255 | 255 | 157 | 351 | 0 | 1430 | 0 | 320 |
normalized size |
1 |
1. |
0.62 |
1.38 |
0. |
5.61 |
0. |
1.25 |
time (sec) |
N/A |
0.245 |
5.162 |
0.02 |
0. |
2.787 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 125 | 228 | 0 | 1008 | 0 | 213 |
normalized size |
1 |
1. |
0.73 |
1.33 |
0. |
5.86 |
0. |
1.24 |
time (sec) |
N/A |
0.157 |
5.097 |
0.007 |
0. |
1.964 |
0. |
1.169 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 214 | 136 | 0 | 655 | 0 | 139 |
normalized size |
1 |
1. |
2.04 |
1.3 |
0. |
6.24 |
0. |
1.32 |
time (sec) |
N/A |
0.05 |
4.135 |
0.006 |
0. |
1.651 |
0. |
1.166 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
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 | 47 | 47 | 37 | 34 | 92 | 115 | 144 | 54 |
normalized size | 1 | 1. | 0.79 | 0.72 | 1.96 | 2.45 | 3.06 | 1.15 |
time (sec) |
N/A |
0.01 |
0.016 |
0.003 |
0.96 |
1.545 |
10.792 |
1.119 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
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 | 39 | 39 | 29 | 26 | 42 | 99 | 95 | 36 |
normalized size | 1 | 1. | 0.74 | 0.67 | 1.08 | 2.54 | 2.44 | 0.92 |
time (sec) |
N/A |
0.006 |
0.006 |
0.003 |
0.96 |
1.541 |
0.783 |
1.139 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 775 | 1070 | 0 | 1530 | 0 | 432 |
normalized size |
1 |
1. |
6.35 |
8.77 |
0. |
12.54 |
0. |
3.54 |
time (sec) |
N/A |
0.103 |
2.628 |
0.014 |
0. |
4.241 |
0. |
1.179 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 202 | 202 | 170 | 2371 | 0 | 2849 | 0 | 837 |
normalized size |
1 |
1. |
0.84 |
11.74 |
0. |
14.1 |
0. |
4.14 |
time (sec) |
N/A |
0.228 |
5.482 |
0.02 |
0. |
9.31 |
0. |
7.721 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 313 | 313 | 221 | 4495 | 0 | 4520 | 0 | 1364 |
normalized size |
1 |
1. |
0.71 |
14.36 |
0. |
14.44 |
0. |
4.36 |
time (sec) |
N/A |
0.4 |
5.653 |
0.024 |
0. |
35.954 |
0. |
3.709 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
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 | 224 | 224 | 163 | 190 | 628 | 487 | 0 | 294 |
normalized size |
1 |
1. |
0.73 |
0.85 |
2.8 |
2.17 |
0. |
1.31 |
time (sec) |
N/A |
0.101 |
0.101 |
0.007 |
1.059 |
3.349 |
0. |
1.172 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
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 | 174 | 174 | 107 | 115 | 336 | 319 | 0 | 186 |
normalized size | 1 | 1. | 0.61 | 0.66 | 1.93 | 1.83 | 0. | 1.07 |
time (sec) |
N/A |
0.071 |
0.064 |
0.006 |
1.014 |
1.946 |
0. |
1.255 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
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 | 91 | 91 | 59 | 57 | 139 | 185 | 566 | 97 |
normalized size | 1 | 1. | 0.65 | 0.63 | 1.53 | 2.03 | 6.22 | 1.07 |
time (sec) |
N/A |
0.029 |
0.022 |
0.003 |
0.97 |
1.559 |
36.603 |
1.177 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
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 | 39 | 39 | 29 | 26 | 42 | 99 | 95 | 36 |
normalized size | 1 | 1. | 0.74 | 0.67 | 1.08 | 2.54 | 2.44 | 0.92 |
time (sec) |
N/A |
0.006 |
0.009 |
0.002 |
0.952 |
1.492 |
0.792 |
1.161 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 236 | 628 | 0 | 914 | 0 | 144 |
normalized size |
1 |
1. |
2.99 |
7.95 |
0. |
11.57 |
0. |
1.82 |
time (sec) |
N/A |
0.046 |
2.59 |
0.033 |
0. |
2.307 |
0. |
1.17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F(-2) |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 405 | 823 | 0 | 954 | 0 | 304 |
normalized size |
1 |
1. |
4.05 |
8.23 |
0. |
9.54 |
0. |
3.04 |
time (sec) |
N/A |
0.055 |
0.757 |
0.024 |
0. |
2.618 |
0. |
1.186 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 130 | 5177 | 0 | 1439 | 0 | 657 |
normalized size | 1 | 1. | 0.87 | 34.74 | 0. | 9.66 | 0. | 4.41 |
time (sec) |
N/A |
0.079 |
5.17 |
0.028 |
0. |
2.896 |
0. |
3.775 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 199 | 199 | 179 | 13964 | 0 | 1994 | 0 | 1241 |
normalized size |
1 |
1. |
0.9 |
70.17 |
0. |
10.02 |
0. |
6.24 |
time (sec) |
N/A |
0.113 |
5.268 |
0.044 |
0. |
4.26 |
0. |
23.152 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 19 | 0 | 55 | 0 | 24 |
normalized size |
1 |
1. |
1. |
0.95 |
0. |
2.75 |
0. |
1.2 |
time (sec) |
N/A |
0.005 |
0.007 |
0.003 |
0. |
1.502 |
0. |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 28 | 0 | 69 | 0 | 69 |
normalized size | 1 | 1. | 1. | 1.12 | 0. | 2.76 | 0. | 2.76 |
time (sec) |
N/A |
0.008 |
0.005 |
0.003 |
0. |
1.508 |
0. |
1.146 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
Problem 107 |
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 | 49 | 49 | 49 | 306 | 0 | 513 | 0 | 95 |
normalized size |
1 |
1. |
1. |
6.24 |
0. |
10.47 |
0. |
1.94 |
time (sec) |
N/A |
0.02 |
0.014 |
0.009 |
0. |
1.999 |
0. |
1.107 |
|
|
|
|
|
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|
Problem 108 |
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 | 15 | 15 | 15 | 14 | 18 | 108 | 31 | 34 |
normalized size | 1 | 1. | 1. | 0.93 | 1.2 | 7.2 | 2.07 | 2.27 |
time (sec) |
N/A |
0.004 |
0.012 |
0.006 |
1.458 |
1.514 |
3.453 |
1.085 |
|
|
|
|
|
|
|
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|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 648 | 648 | 99 | 0 | 0 | 0 | 136 | 0 |
normalized size | 1 | 1. | 0.15 | 0. | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.597 |
5.047 |
0.032 |
0. |
0. |
4.06 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 617 | 617 | 176 | 0 | 0 | 0 | 99 | 0 |
normalized size | 1 | 1. | 0.29 | 0. | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.426 |
3.225 |
0.026 |
0. |
0. |
2.909 |
0. |
|
|
|
|
|
|
|
|
|
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|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 588 | 588 | 62 | 0 | 0 | 0 | 63 | 0 |
normalized size | 1 | 1. | 0.11 | 0. | 0. | 0. | 0.11 | 0. |
time (sec) |
N/A |
0.369 |
0.072 |
0.023 |
0. |
0. |
2.026 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 740 | 740 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.22 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.321 |
0.15 |
0.047 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
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 | 584 | 584 | 86 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.15 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.374 |
0.057 |
0.055 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 818 | 818 | 252 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.56 |
0.311 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 849 | 849 | 265 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.651 |
0.181 |
0.056 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 668 | 668 | 110 | 0 | 0 | 0 | 139 | 0 |
normalized size | 1 | 1. | 0.16 | 0. | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.571 |
5.049 |
0.03 |
0. |
0. |
6.248 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 637 | 637 | 173 | 0 | 0 | 0 | 131 | 0 |
normalized size | 1 | 1. | 0.27 | 0. | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.484 |
2.775 |
0.027 |
0. |
0. |
4.907 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 608 | 608 | 68 | 0 | 0 | 0 | 100 | 0 |
normalized size | 1 | 1. | 0.11 | 0. | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.42 |
0.062 |
0.024 |
0. |
0. |
3.478 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 765 | 765 | 231 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.3 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.444 |
0.133 |
0.06 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 775 | 775 | 235 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.3 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.437 |
0.14 |
0.047 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 815 | 815 | 252 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.613 |
0.22 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 659 | 659 | 98 | 0 | 0 | 0 | 165 | 0 |
normalized size | 1 | 1. | 0.15 | 0. | 0. | 0. | 0.25 | 0. |
time (sec) |
N/A |
0.527 |
5.056 |
0.03 |
0. |
0. |
4.46 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 628 | 628 | 88 | 0 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.14 | 0. | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.44 |
5.047 |
0.026 |
0. |
0. |
3.454 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 597 | 597 | 158 | 0 | 0 | 0 | 94 | 0 |
normalized size | 1 | 1. | 0.26 | 0. | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.381 |
4.433 |
0.025 |
0. |
0. |
2.547 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 568 | 568 | 62 | 0 | 0 | 0 | 60 | 0 |
normalized size | 1 | 1. | 0.11 | 0. | 0. | 0. | 0.11 | 0. |
time (sec) |
N/A |
0.305 |
0.024 |
0.023 |
0. |
0. |
1.569 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.031 |
0.029 |
0.039 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 787 | 787 | 234 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.3 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.439 |
0.153 |
0.045 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 818 | 818 | 255 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.543 |
0.162 |
0.045 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
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 | 623 | 623 | 76 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.12 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.435 |
5.05 |
0.057 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
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 | 592 | 592 | 62 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.1 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.368 |
5.044 |
0.051 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 561 | 561 | 53 | 0 | 0 | 0 | 60 | 0 |
normalized size | 1 | 1. | 0.09 | 0. | 0. | 0. | 0.11 | 0. |
time (sec) |
N/A |
0.304 |
0.017 |
0.024 |
0. |
0. |
3.801 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 776 | 776 | 226 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.29 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.443 |
0.129 |
0.041 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 807 | 807 | 236 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.29 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.534 |
0.172 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 849 | 849 | 256 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.3 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.653 |
0.23 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
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 | 653 | 653 | 96 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.15 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.512 |
5.071 |
0.064 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
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 | 596 | 596 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.14 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.426 |
5.067 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 24 | 24 | 45 | 90 | 0 | 0 |
normalized size | 1 | 1. | 0.55 | 0.55 | 1.02 | 2.05 | 0. | 0. |
time (sec) |
N/A |
0.017 |
5.026 |
0.004 |
1.14 |
1.774 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 590 | 590 | 74 | 0 | 0 | 0 | 60 | 0 |
normalized size | 1 | 1. | 0.13 | 0. | 0. | 0. | 0.1 | 0. |
time (sec) |
N/A |
0.366 |
0.038 |
0.023 |
0. |
0. |
11.292 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 796 | 796 | 248 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.537 |
0.206 |
0.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 827 | 827 | 259 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.634 |
0.241 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 252 | 252 | 163 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.073 |
0.124 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 202 | 202 | 166 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.82 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.029 |
0.151 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 153 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.042 |
0.148 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.029 |
0.03 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 156 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.76 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.029 |
0.151 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 118 | 0 | 0 | 5544 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 0. | 0. | 49.06 | 0. | 0. |
time (sec) |
N/A |
0.021 |
0.04 |
0.001 |
0. |
10.867 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 124 | 0 | 0 | 4852 | 0 | 0 |
normalized size | 1 | 1. | 1.14 | 0. | 0. | 44.51 | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.035 |
0. |
0. |
8.789 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 143 | 0 | 0 | 775 | 0 | 0 |
normalized size | 1 | 1. | 1.49 | 0. | 0. | 8.07 | 0. | 0. |
time (sec) |
N/A |
0.018 |
0.144 |
0.035 |
0. |
54.84 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 143 | 0 | 0 | 911 | 0 | 0 |
normalized size | 1 | 1. | 1.51 | 0. | 0. | 9.59 | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.098 |
0.034 |
0. |
55.362 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 169 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.12 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.027 |
0.162 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 167 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.09 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.026 |
0.17 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 168 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.11 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.028 |
0.122 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 172 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.12 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.029 |
0.159 |
0.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 148 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.98 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.034 |
0.146 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 148 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.024 |
0.162 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 136 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.11 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.02 |
0.113 |
0.028 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 136 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.11 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.119 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 136 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.14 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.101 |
0.051 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 136 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.14 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.107 |
0.027 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 124 | 0 | 0 | 4397 | 0 | 0 |
normalized size | 1 | 1. | 1.77 | 0. | 0. | 62.81 | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.093 |
0.027 |
0. |
14.661 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 137 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.32 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.016 |
0.108 |
0.037 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 125 | 0 | 0 | 749 | 0 | 0 |
normalized size | 1 | 1. | 1.69 | 0. | 0. | 10.12 | 0. | 0. |
time (sec) |
N/A |
0.011 |
0.045 |
0.046 |
0. |
6.559 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 91 | 57 | 94 | 95 | 662 | 0 | 0 |
normalized size | 1 | 1.15 | 0.72 | 1.19 | 1.2 | 8.38 | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.026 |
0.02 |
0.99 |
2.31 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
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 | 74 | 91 | 54 | 94 | 0 | 645 | 0 | 0 |
normalized size | 1 | 1.23 | 0.73 | 1.27 | 0. | 8.72 | 0. | 0. |
time (sec) |
N/A |
0.018 |
0.019 |
0.016 |
0. |
2.327 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
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 | 76 | 91 | 57 | 94 | 0 | 664 | 0 | 0 |
normalized size | 1 | 1.2 | 0.75 | 1.24 | 0. | 8.74 | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.029 |
0.014 |
0. |
2.038 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
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 | 328 | 328 | 243 | 543 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 1.66 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.316 |
0.448 |
0.033 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
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 | 249 | 249 | 198 | 328 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.8 | 1.32 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.179 |
0.238 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
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 | 204 | 204 | 86 | 101 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.42 | 0.5 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.093 |
0.05 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
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 | 84 | 84 | 133 | 181 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.58 | 2.15 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.279 |
0.031 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 237 | 237 | 243 | 617 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.03 | 2.6 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.12 |
0.444 |
0.036 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 309 | 309 | 285 | 1411 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.92 | 4.57 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.228 |
0.531 |
0.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
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 | 410 | 410 | 302 | 780 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 1.9 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.439 |
0.583 |
0.018 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
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 | 336 | 336 | 246 | 545 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 1.62 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.281 |
0.41 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
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 | 273 | 273 | 199 | 330 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 1.21 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.165 |
0.226 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
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 | 267 | 267 | 191 | 332 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.72 | 1.24 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.159 |
0.27 |
0.021 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 229 | 229 | 232 | 607 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 2.65 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.136 |
0.462 |
0.021 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 315 | 315 | 285 | 1414 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
4.49 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.282 |
0.58 |
0.027 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
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 | 235 | 235 | 127 | 303 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.54 | 1.29 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.135 |
0.107 |
0.028 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 22 | 75 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.58 | 1.97 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.012 |
0.026 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 15 | 38 | 0 | 85 | 17 | 23 |
normalized size | 1 | 1. | 0.75 | 1.9 | 0. | 4.25 | 0.85 | 1.15 |
time (sec) |
N/A |
0.004 |
0.002 |
0.001 |
0. |
1.766 |
6.094 |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
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 | 182 | 182 | 37 | 37 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.2 | 0.2 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.081 |
0.008 |
0.016 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
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 | 91 | 91 | 60 | 78 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.66 | 0.86 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.058 |
0.038 |
0.022 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
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 | 150 | 150 | 60 | 53 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.4 | 0.35 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.059 |
0.031 |
0.025 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 23 | 0 | 0 | 34 | 0 |
normalized size | 1 | 1. | 1. | 1.15 | 0. | 0. | 1.7 | 0. |
time (sec) |
N/A |
0.007 |
0.006 |
0.015 |
0. |
0. |
4.218 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 18 | 0 | 0 | 36 | 0 |
normalized size | 1 | 1. | 1. | 0.86 | 0. | 0. | 1.71 | 0. |
time (sec) |
N/A |
0.008 |
0.004 |
0.027 |
0. |
0. |
4.431 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 29 | 0 | 0 | 34 | 0 |
normalized size | 1 | 1. | 1. | 1.45 | 0. | 0. | 1.7 | 0. |
time (sec) |
N/A |
0.007 |
0.005 |
0.02 |
0. |
0. |
4.341 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 4 | 4 | 4 | 5 | 0 | 0 | 10 | 0 |
normalized size | 1 | 1. | 1. | 1.25 | 0. | 0. | 2.5 | 0. |
time (sec) |
N/A |
0.005 |
0.003 |
0.012 |
0. |
0. |
2.138 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 19 | 0 | 0 | 36 | 0 |
normalized size | 1 | 1. | 1. | 0.95 | 0. | 0. | 1.8 | 0. |
time (sec) |
N/A |
0.006 |
0.004 |
0.016 |
0. |
0. |
4.351 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 19 | 0 | 0 | 37 | 0 |
normalized size | 1 | 1. | 1. | 0.9 | 0. | 0. | 1.76 | 0. |
time (sec) |
N/A |
0.006 |
0.004 |
0.018 |
0. |
0. |
4.514 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 19 | 0 | 0 | 36 | 0 |
normalized size | 1 | 1. | 1. | 0.95 | 0. | 0. | 1.8 | 0. |
time (sec) |
N/A |
0.007 |
0.005 |
0.023 |
0. |
0. |
4.464 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
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 | 13 | 13 | 12 | 14 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.92 | 1.08 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.003 |
0.008 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
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 | 31 | 31 | 27 | 27 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 0.87 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.005 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
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 | 35 | 35 | 27 | 31 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.77 | 0.89 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.021 |
0.004 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
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 | 35 | 35 | 27 | 31 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.77 | 0.89 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.004 |
0.018 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
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 | 131 | 131 | 27 | 30 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.21 | 0.23 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.041 |
0.004 |
0.015 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
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 | 136 | 136 | 27 | 26 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.2 | 0.19 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.044 |
0.004 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 27 | 20 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.18 | 0.14 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.05 |
0.005 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
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 | 40 | 40 | 35 | 32 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.88 | 0.8 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.024 |
0.01 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 199 |
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 | 423 | 423 | 321 | 852 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.76 | 2.01 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.431 |
1.489 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
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 | 344 | 344 | 260 | 615 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.76 | 1.79 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.283 |
0.478 |
0.017 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
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 | 260 | 260 | 216 | 399 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.83 | 1.53 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.16 |
0.336 |
0.015 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
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 | 194 | 194 | 86 | 158 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.44 | 0.81 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.09 |
0.05 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
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 | 87 | 87 | 86 | 100 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.99 | 1.15 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.055 |
0.015 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
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 | 273 | 273 | 112 | 248 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.41 | 0.91 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.143 |
0.236 |
0.024 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 255 | 255 | 261 | 752 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.02 | 2.95 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.146 |
0.592 |
0.028 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 334 | 334 | 301 | 1607 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.9 | 4.81 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.278 |
0.621 |
0.031 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
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 | 445 | 445 | 318 | 755 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.71 | 1.7 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.405 |
1.185 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
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 | 346 | 346 | 256 | 539 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 1.56 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.266 |
0.454 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
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 | 258 | 258 | 196 | 345 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.76 | 1.34 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.152 |
0.279 |
0.02 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 210 |
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 | 84 | 84 | 136 | 188 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.62 | 2.24 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.307 |
0.015 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 211 |
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 | 194 | 194 | 112 | 144 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.58 | 0.74 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.152 |
0.231 |
0.022 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 212 |
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 | 242 | 242 | 224 | 354 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 1.46 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.12 |
0.673 |
0.024 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 323 | 323 | 337 | 964 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 2.98 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.264 |
1.034 |
0.031 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 214 |
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 | 87 | 87 | 86 | 100 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.99 | 1.15 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.055 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
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 | 87 | 87 | 87 | 106 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.054 |
0.061 |
0.033 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
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 | 87 | 87 | 89 | 106 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.02 | 1.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.065 |
0.028 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 217 |
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 | 88 | 88 | 88 | 108 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.23 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.057 |
0.061 |
0.026 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 14 | 0 | 0 | 19 | 0 |
normalized size | 1 | 1. | 1. | 1.17 | 0. | 0. | 1.58 | 0. |
time (sec) |
N/A |
0.007 |
0.005 |
0.026 |
0. |
0. |
4.443 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
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 | 10 | 10 | 58 | 14 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 5.8 | 1.4 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.03 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 14 | 0 | 0 | 19 | 0 |
normalized size | 1 | 1. | 1. | 1.17 | 0. | 0. | 1.58 | 0. |
time (sec) |
N/A |
0.007 |
0.005 |
0.015 |
0. |
0. |
4.461 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 10 | 0 | 0 | 73 | 0 |
normalized size | 1 | 1. | 1. | 1. | 0. | 0. | 7.3 | 0. |
time (sec) |
N/A |
0.005 |
0.019 |
0.018 |
0. |
0. |
8.395 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 18 | 14 | 0 | 0 | 19 | 0 |
normalized size | 1 | 1. | 1.5 | 1.17 | 0. | 0. | 1.58 | 0. |
time (sec) |
N/A |
0.007 |
0.019 |
0.022 |
0. |
0. |
2.178 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
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 | 12 | 12 | 12 | 13 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.08 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.006 |
0.022 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 26 | 8 | 0 | 169 | 22 | 26 |
normalized size | 1 | 1. | 3.25 | 1. | 0. | 21.12 | 2.75 | 3.25 |
time (sec) |
N/A |
0.002 |
0.005 |
0.04 |
0. |
1.985 |
2.661 |
1.086 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 13 | 0 | 0 | 17 | 0 |
normalized size | 1 | 1. | 1. | 1.08 | 0. | 0. | 1.42 | 0. |
time (sec) |
N/A |
0.007 |
0.005 |
0.017 |
0. |
0. |
4.377 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 11 | 0 | 0 | 39 | 0 |
normalized size | 1 | 1. | 1. | 1.1 | 0. | 0. | 3.9 | 0. |
time (sec) |
N/A |
0.007 |
0.009 |
0.019 |
0. |
0. |
8.186 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 13 | 0 | 0 | 17 | 0 |
normalized size | 1 | 1. | 1. | 1.08 | 0. | 0. | 1.42 | 0. |
time (sec) |
N/A |
0.007 |
0.005 |
0.025 |
0. |
0. |
4.36 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 228 |
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 | 51 | 51 | 19 | 17 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.37 | 0.33 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.02 |
0.032 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 229 |
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 | 49 | 49 | 17 | 15 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.35 | 0.31 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.028 |
0.02 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 230 |
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 | 51 | 51 | 19 | 17 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.37 | 0.33 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.02 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 8 | 0 | 97 | 8 | 31 |
normalized size | 1 | 1. | 1. | 1. | 0. | 12.12 | 1. | 3.88 |
time (sec) |
N/A |
0.002 |
0.003 |
0.027 |
0. |
1.908 |
2.827 |
1.197 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 19 | 15 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.4 | 0.32 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.018 |
0.022 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
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 | 10 | 10 | 19 | 14 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.9 | 1.4 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.006 |
0.018 |
0.022 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 10 | 0 | 0 | 76 | 0 |
normalized size | 1 | 1. | 1. | 1. | 0. | 0. | 7.6 | 0. |
time (sec) |
N/A |
0.005 |
0.012 |
0.006 |
0. |
0. |
7.753 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 19 | 0 | 0 | 36 | 0 |
normalized size | 1 | 1. | 1. | 0.95 | 0. | 0. | 1.8 | 0. |
time (sec) |
N/A |
0.007 |
0.006 |
0.016 |
0. |
0. |
4.814 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 15 | 0 | 0 | 41 | 0 |
normalized size | 1 | 1. | 1. | 0.94 | 0. | 0. | 2.56 | 0. |
time (sec) |
N/A |
0.007 |
0.006 |
0.019 |
0. |
0. |
8.516 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 19 | 0 | 0 | 36 | 0 |
normalized size | 1 | 1. | 1. | 0.95 | 0. | 0. | 1.8 | 0. |
time (sec) |
N/A |
0.009 |
0.007 |
0.035 |
0. |
0. |
4.562 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
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 | 32 | 32 | 32 | 37 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.16 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.022 |
0.029 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
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 | 30 | 34 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.13 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.027 |
0.029 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
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 | 32 | 32 | 32 | 37 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.16 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.013 |
0.021 |
0.026 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 46 | 30 | 0 | 0 | 75 | 0 |
normalized size | 1 | 1. | 1.84 | 1.2 | 0. | 0. | 3. | 0. |
time (sec) |
N/A |
0.011 |
0.01 |
0.019 |
0. |
0. |
8.348 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 242 |
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 | 32 | 32 | 32 | 34 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.06 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.013 |
0.02 |
0.021 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 47 | 28 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.92 | 2.33 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.022 |
0.02 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 244 |
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 | 29 | 29 | 40 | 24 | 0 | 97 | 0 | 0 |
normalized size | 1 | 1. | 1.38 | 0.83 | 0. | 3.34 | 0. | 0. |
time (sec) |
N/A |
0.003 |
0.011 |
0.007 |
0. |
1.83 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 40 | 29 | 0 | 0 | 37 | 0 |
normalized size | 1 | 1. | 1.25 | 0.91 | 0. | 0. | 1.16 | 0. |
time (sec) |
N/A |
0.015 |
0.023 |
0.022 |
0. |
0. |
4.807 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 36 | 27 | 0 | 0 | 42 | 0 |
normalized size | 1 | 1. | 1.2 | 0.9 | 0. | 0. | 1.4 | 0. |
time (sec) |
N/A |
0.015 |
0.029 |
0.023 |
0. |
0. |
8.983 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 40 | 29 | 0 | 0 | 37 | 0 |
normalized size | 1 | 1. | 1.25 | 0.91 | 0. | 0. | 1.16 | 0. |
time (sec) |
N/A |
0.014 |
0.024 |
0.023 |
0. |
0. |
4.588 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 248 |
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 | 53 | 53 | 39 | 36 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 0.68 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.01 |
0.026 |
0.026 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 249 |
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 | 51 | 51 | 37 | 33 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 0.65 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.01 |
0.028 |
0.021 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 250 |
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 | 53 | 53 | 39 | 36 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 0.68 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.023 |
0.024 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 251 |
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 | 28 | 28 | 26 | 24 | 0 | 258 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 0.86 | 0. | 9.21 | 0. | 0. |
time (sec) |
N/A |
0.004 |
0.01 |
0.007 |
0. |
1.849 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 53 | 33 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.08 | 0.67 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.035 |
0.019 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 253 |
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 | 31 | 31 | 39 | 34 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.26 | 1.1 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.025 |
0.02 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 65 | 48 | 30 | 0 | 0 | 73 | 0 |
normalized size | 1 | 1.55 | 1.14 | 0.71 | 0. | 0. | 1.74 | 0. |
time (sec) |
N/A |
0.012 |
0.013 |
0.009 |
0. |
0. |
7.93 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 255 |
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 | 40 | 40 | 40 | 34 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.024 |
0.019 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 34 | 0 | 0 | 44 | 0 |
normalized size | 1 | 1. | 1. | 0.94 | 0. | 0. | 1.22 | 0. |
time (sec) |
N/A |
0.015 |
0.03 |
0.019 |
0. |
0. |
8.715 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 257 |
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 | 40 | 40 | 40 | 34 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.015 |
0.027 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 258 |
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 | 87 | 87 | 87 | 106 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.053 |
0.056 |
0.01 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 259 |
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 | 90 | 90 | 90 | 171 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.9 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.048 |
0.015 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 260 |
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 | 88 | 88 | 88 | 168 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.91 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.049 |
0.05 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 261 |
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 | 91 | 91 | 91 | 110 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.21 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.054 |
0.043 |
0.01 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 262 |
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 | 88 | 88 | 88 | 109 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.24 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.056 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 263 |
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 | 89 | 89 | 89 | 165 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.053 |
0.051 |
0.018 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 264 |
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 | 89 | 89 | 89 | 166 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.87 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.055 |
0.047 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 265 |
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 | 90 | 90 | 90 | 111 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.23 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.046 |
0.009 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 266 |
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 | 194 | 194 | 86 | 158 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.44 | 0.81 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.084 |
0.049 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 267 |
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 | 203 | 203 | 89 | 104 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.44 | 0.51 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.089 |
0.045 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 268 |
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 | 203 | 203 | 89 | 108 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.44 | 0.53 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.092 |
0.051 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 269 |
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 | 212 | 212 | 92 | 165 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.43 | 0.78 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.103 |
0.044 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 270 |
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 | 189 | 189 | 89 | 164 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.87 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.125 |
0.05 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 271 |
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 | 191 | 191 | 90 | 109 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.57 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.123 |
0.046 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 272 |
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 | 194 | 194 | 92 | 111 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.57 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.128 |
0.054 |
0.009 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 273 |
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 | 198 | 198 | 93 | 167 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.84 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.131 |
0.045 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 274 |
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 | 87 | 87 | 87 | 106 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.048 |
0.054 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 275 |
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 | 90 | 90 | 90 | 171 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.9 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.048 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 276 |
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 | 88 | 88 | 88 | 168 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.91 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.047 |
0.046 |
0.011 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 277 |
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 | 91 | 91 | 91 | 110 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.21 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.05 |
0.042 |
0.01 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 278 |
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 | 88 | 88 | 88 | 164 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.86 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.056 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 279 |
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 | 89 | 89 | 89 | 110 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.24 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.051 |
0.047 |
0.017 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 280 |
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 | 89 | 89 | 89 | 110 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.24 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.051 |
0.048 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 281 |
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 | 90 | 90 | 90 | 167 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.86 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.041 |
0.012 |
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 | 204 | 204 | 86 | 101 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.42 | 0.5 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.088 |
0.043 |
0.001 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 283 |
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 | 214 | 214 | 89 | 161 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.42 | 0.75 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.096 |
0.045 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 284 |
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 | 214 | 214 | 89 | 162 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.42 | 0.76 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.097 |
0.05 |
0.013 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 285 |
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 | 222 | 222 | 92 | 111 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.41 | 0.5 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.103 |
0.048 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 286 |
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 | 189 | 189 | 89 | 164 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.87 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.121 |
0.05 |
0.011 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 287 |
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 | 191 | 191 | 90 | 109 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.57 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.122 |
0.046 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 288 |
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 | 194 | 194 | 92 | 111 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.57 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.125 |
0.049 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 289 |
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 | 198 | 198 | 93 | 167 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.84 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.129 |
0.045 |
0.012 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 290 |
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 | 78 | 78 | 37 | 38 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 0.49 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.012 |
0.023 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 291 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 40 | 38 | 0 | 0 | 20 | 0 |
normalized size | 1 | 1. | 1.03 | 0.97 | 0. | 0. | 0.51 | 0. |
time (sec) |
N/A |
0.02 |
0.038 |
0.022 |
0. |
0. |
2.215 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 292 |
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 | 61 | 61 | 47 | 53 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.77 | 0.87 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.012 |
0.035 |
0.017 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 293 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 6 | 6 | 27 | 25 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 4.5 | 4.17 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.006 |
0.025 |
0.016 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 294 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 24 | 28 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 1.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.025 |
0.009 |
0.015 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 295 |
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 | 182 | 182 | 37 | 37 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.2 | 0.2 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.075 |
0.009 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 296 |
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 | 19 | 19 | 35 | 37 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.84 | 1.95 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.026 |
0.014 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 297 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 95 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.132 |
0.108 |
0.23 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 298 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 95 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.102 |
0.087 |
0.162 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 299 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 478 | 478 | 102 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.21 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.367 |
0.117 |
0.159 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 300 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 102 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.47 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.208 |
0.09 |
0.115 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 301 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
C |
C |
F |
F |
F |
F |
F |
verified |
N/A |
NO |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 23 | 122 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0.37 | 1.97 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.011 |
0.124 |
0.04 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 302 |
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 | 46 | 46 | 48 | 117 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 2.54 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.041 |
0.082 |
0.106 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 303 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 81 | 207 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.72 | 4.4 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.062 |
0.147 |
0.181 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 304 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 135 | 0 | 0 | 1520 | 0 | 0 |
normalized size | 1 | 1. | 1.05 | 0. | 0. | 11.78 | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.107 |
0.026 |
0. |
27.794 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 305 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 135 | 0 | 0 | 1553 | 0 | 0 |
normalized size | 1 | 1. | 1.12 | 0. | 0. | 12.94 | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.121 |
0.051 |
0. |
28.216 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 306 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 144 | 0 | 0 | 2201 | 0 | 0 |
normalized size | 1 | 1. | 1.12 | 0. | 0. | 17.06 | 0. | 0. |
time (sec) |
N/A |
0.023 |
0.131 |
0.037 |
0. |
72.549 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 307 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 145 | 0 | 0 | 2229 | 0 | 0 |
normalized size | 1 | 1. | 1.17 | 0. | 0. | 17.98 | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.132 |
0.04 |
0. |
73.024 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 308 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 155 | 0 | 0 | 826 | 0 | 0 |
normalized size | 1 | 1. | 1.29 | 0. | 0. | 6.88 | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.14 |
0.043 |
0. |
58.606 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 309 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 155 | 0 | 0 | 836 | 0 | 0 |
normalized size | 1 | 1. | 1.29 | 0. | 0. | 6.97 | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.153 |
0.044 |
0. |
62.845 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 310 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 165 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.38 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.021 |
0.149 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 311 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.021 |
0.153 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 312 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 127 | 0 | 0 | 281 | 0 | 0 |
normalized size | 1 | 1. | 2.08 | 0. | 0. | 4.61 | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.137 |
0.068 |
0. |
30.872 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 313 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 127 | 0 | 0 | 683 | 0 | 0 |
normalized size | 1 | 1. | 2.08 | 0. | 0. | 11.2 | 0. | 0. |
time (sec) |
N/A |
0.01 |
0.124 |
0.027 |
0. |
25.743 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 314 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 132 | 0 | 0 | 701 | 0 | 0 |
normalized size | 1 | 1. | 1.71 | 0. | 0. | 9.1 | 0. | 0. |
time (sec) |
N/A |
0.013 |
0.158 |
0.039 |
0. |
77.966 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 315 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 137 | 0 | 0 | 675 | 0 | 0 |
normalized size | 1 | 1. | 1.73 | 0. | 0. | 8.54 | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.143 |
0.037 |
0. |
85.168 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 316 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 157 | 0 | 0 | 826 | 0 | 0 |
normalized size | 1 | 1. | 1.85 | 0. | 0. | 9.72 | 0. | 0. |
time (sec) |
N/A |
0.018 |
0.16 |
0.042 |
0. |
64.075 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 317 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 157 | 0 | 0 | 838 | 0 | 0 |
normalized size | 1 | 1. | 1.85 | 0. | 0. | 9.86 | 0. | 0. |
time (sec) |
N/A |
0.014 |
0.147 |
0.04 |
0. |
54.896 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 318 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 163 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.61 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.019 |
0.157 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 319 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 168 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.63 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.021 |
0.156 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 320 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 115 | 0 | 0 | 254 | 0 | 0 |
normalized size | 1 | 1. | 2.17 | 0. | 0. | 4.79 | 0. | 0. |
time (sec) |
N/A |
0.008 |
0.137 |
0.055 |
0. |
23.335 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 321 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F(-2) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 362 | 362 | 346 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.265 |
0.466 |
0.064 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 322 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 302 | 302 | 348 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.15 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.207 |
0.48 |
0.061 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 323 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F(-2) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 244 | 244 | 161 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.15 |
0.158 |
0.041 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 324 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 199 | 199 | 160 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.147 |
0.154 |
0.041 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 325 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 167 | 167 | 160 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.108 |
0.053 |
0.038 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 326 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 123 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.118 |
0.037 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 327 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 233 | 233 | 327 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.4 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.16 |
0.269 |
0.041 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 328 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 254 | 254 | 331 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.3 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.157 |
0.274 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 329 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 274 | 274 | 419 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.53 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.382 |
0.704 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 330 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 304 | 304 | 431 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.42 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.343 |
0.81 |
0.041 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 331 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F(-2) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 340 | 340 | 340 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.294 |
0.336 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 332 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 279 | 279 | 341 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.22 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.271 |
0.33 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 333 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F(-2) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 309 | 309 | 232 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.222 |
0.203 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 334 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 278 | 278 | 232 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.206 |
0.193 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 335 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 336 | 336 | 392 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.17 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.255 |
0.243 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 336 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 292 | 292 | 336 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.15 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.231 |
0.346 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 337 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 314 | 314 | 380 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.21 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.395 |
0.498 |
0.044 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 338 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 345 | 345 | 387 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.12 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.382 |
0.538 |
0.045 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 339 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 371 | 371 | 536 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.44 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.552 |
1.092 |
0.047 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 340 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 419 | 419 | 550 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.31 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.484 |
0.975 |
0.045 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 341 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 172 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.18 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.043 |
0.221 |
0.076 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 342 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 296 | 296 | 136 | 0 | 0 | 0 | 121 | 0 |
normalized size | 1 | 1. | 0.46 | 0. | 0. | 0. | 0.41 | 0. |
time (sec) |
N/A |
0.276 |
5.063 |
0.053 |
0. |
0. |
52.59 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 343 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 106 | 0 | 0 | 0 | 88 | 0 |
normalized size | 1 | 1. | 0.6 | 0. | 0. | 0. | 0.5 | 0. |
time (sec) |
N/A |
0.121 |
5.042 |
0.043 |
0. |
0. |
22.861 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 344 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 85 | 90 | 0 | 0 | 0 | 53 | 0 |
normalized size | 1 | 0.91 | 0.97 | 0. | 0. | 0. | 0.57 | 0. |
time (sec) |
N/A |
0.039 |
0.029 |
0.03 |
0. |
0. |
10.705 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 345 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 44 | 0 | 0 | 0 | 22 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0.5 | 0. |
time (sec) |
N/A |
0.009 |
0.003 |
0.002 |
0. |
0. |
2.459 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 346 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.84 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.026 |
0.178 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 347 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.84 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.025 |
0.179 |
0.051 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 348 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.84 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.025 |
0.235 |
0.076 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 349 |
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 | 53 | 53 | 52 | 71 | 0 | 182 | 0 | 0 |
normalized size |
1 |
1. |
0.98 |
1.34 |
0. |
3.43 |
0. |
0. |
time (sec) |
N/A |
0.02 |
0.031 |
0.004 |
0. |
1.677 |
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 [329] had the largest ratio of [ 0.4286
]
|
|
|
|
|
|
|
| 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 |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
2 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
3 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
4 |
A |
2 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
5 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
6 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
7 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
8 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
9 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
10 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
11 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
12 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
13 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
14 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
15 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
16 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
17 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
18 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
19 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
20 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
|
21 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
22 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
23 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
24 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
25 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
26 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
27 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
28 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
29 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
30 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
31 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
32 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
33 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
34 |
A |
6 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
35 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
36 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
37 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
38 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
39 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
40 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
|
41 |
A |
6 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
42 |
A |
7 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
43 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
44 |
A |
5 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
45 |
A |
6 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
46 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
47 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
48 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
49 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
51 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
52 |
A |
6 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
53 |
A |
7 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
54 |
A |
6 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
55 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
56 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
57 |
A |
6 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
58 |
A |
6 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
59 |
A |
4 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
60 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
|
61 |
A |
7 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
62 |
A |
8 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
63 |
A |
7 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
64 |
A |
6 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
65 |
A |
5 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
66 |
A |
7 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
67 |
A |
7 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
68 |
A |
7 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
69 |
A |
5 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
70 |
A |
6 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
71 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
72 |
A |
4 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
73 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
74 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
75 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
76 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
77 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
78 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
79 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
80 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
|
81 |
A |
6 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
82 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
83 |
A |
4 |
4 |
1.17 |
21 |
0.19 |
|
|
|
|
|
|
|
84 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
85 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
86 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
87 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
88 |
A |
6 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
89 |
A |
6 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
90 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
91 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
92 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
93 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
94 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
95 |
A |
6 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
96 |
A |
7 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
97 |
A |
5 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
98 |
A |
4 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
99 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
100 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
|
101 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
102 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
103 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
104 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
105 |
A |
2 |
2 |
1. |
26 |
0.077 |
|
|
|
|
|
|
|
106 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
107 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
108 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
109 |
A |
8 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
110 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
111 |
A |
6 |
6 |
1. |
22 |
0.273 |
|
|
|
|
|
|
|
112 |
A |
6 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
113 |
A |
6 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
114 |
A |
8 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
115 |
A |
9 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
116 |
A |
9 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
117 |
A |
8 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
118 |
A |
7 |
6 |
1. |
22 |
0.273 |
|
|
|
|
|
|
|
119 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
120 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
|
121 |
A |
9 |
9 |
1. |
24 |
0.375 |
|
|
|
|
|
|
|
122 |
A |
8 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
123 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
124 |
A |
6 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
125 |
A |
5 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
126 |
A |
1 |
1 |
1. |
24 |
0.042 |
|
|
|
|
|
|
|
127 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
128 |
A |
8 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
129 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
130 |
A |
6 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
131 |
A |
5 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
132 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
133 |
A |
8 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
134 |
A |
9 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
135 |
A |
8 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
136 |
A |
7 |
7 |
1. |
24 |
0.292 |
|
|
|
|
|
|
|
137 |
A |
2 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
138 |
A |
6 |
6 |
1. |
22 |
0.273 |
|
|
|
|
|
|
|
139 |
A |
8 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
140 |
A |
9 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
|
141 |
A |
1 |
1 |
1. |
26 |
0.038 |
|
|
|
|
|
|
|
142 |
A |
1 |
1 |
1. |
24 |
0.042 |
|
|
|
|
|
|
|
143 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
144 |
A |
1 |
1 |
1. |
24 |
0.042 |
|
|
|
|
|
|
|
145 |
A |
1 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
146 |
A |
1 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
147 |
A |
1 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
148 |
A |
1 |
1 |
1. |
24 |
0.042 |
|
|
|
|
|
|
|
149 |
A |
1 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
150 |
A |
1 |
1 |
1. |
27 |
0.037 |
|
|
|
|
|
|
|
151 |
A |
1 |
1 |
1. |
28 |
0.036 |
|
|
|
|
|
|
|
152 |
A |
1 |
1 |
1. |
29 |
0.034 |
|
|
|
|
|
|
|
153 |
A |
1 |
1 |
1. |
30 |
0.033 |
|
|
|
|
|
|
|
154 |
A |
1 |
1 |
1. |
26 |
0.038 |
|
|
|
|
|
|
|
155 |
A |
1 |
1 |
1. |
26 |
0.038 |
|
|
|
|
|
|
|
156 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
157 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
158 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
159 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
160 |
A |
1 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
|
161 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
162 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
163 |
A |
3 |
3 |
1.15 |
29 |
0.103 |
|
|
|
|
|
|
|
164 |
A |
3 |
3 |
1.23 |
29 |
0.103 |
|
|
|
|
|
|
|
165 |
A |
3 |
3 |
1.2 |
29 |
0.103 |
|
|
|
|
|
|
|
166 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
167 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
168 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
169 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
170 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
171 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
172 |
A |
7 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
173 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
174 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
175 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
176 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
177 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
178 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
179 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
180 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
|
181 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
182 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
183 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
184 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
185 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
186 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
187 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
188 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
189 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
190 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
191 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
192 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
193 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
194 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
195 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
196 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
197 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
198 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
199 |
A |
7 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
200 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
|
201 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
202 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
203 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
204 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
205 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
206 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
207 |
A |
7 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
208 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
209 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
210 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
211 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
212 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
213 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
214 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
215 |
A |
3 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
216 |
A |
3 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
217 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
218 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
219 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
220 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
|
221 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
222 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
223 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
224 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
225 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
226 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
227 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
228 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
229 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
230 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
231 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
232 |
A |
1 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
233 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
234 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
235 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
236 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
237 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
238 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
239 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
240 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
|
241 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
242 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
243 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
244 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
245 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
246 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
247 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
248 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
249 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
250 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
251 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
252 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
253 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
254 |
A |
2 |
2 |
1.55 |
23 |
0.087 |
|
|
|
|
|
|
|
255 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
256 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
257 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
258 |
A |
3 |
3 |
1. |
24 |
0.125 |
|
|
|
|
|
|
|
259 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
260 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
|
261 |
A |
3 |
3 |
1. |
28 |
0.107 |
|
|
|
|
|
|
|
262 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
263 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
264 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
265 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
266 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
267 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
268 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
269 |
A |
4 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
270 |
A |
7 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
271 |
A |
7 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
272 |
A |
7 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
273 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
274 |
A |
3 |
3 |
1. |
24 |
0.125 |
|
|
|
|
|
|
|
275 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
276 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
277 |
A |
3 |
3 |
1. |
28 |
0.107 |
|
|
|
|
|
|
|
278 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
279 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
280 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
|
281 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
282 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
283 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
284 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
285 |
A |
4 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
286 |
A |
7 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
287 |
A |
7 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
288 |
A |
7 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
289 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
290 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
291 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
292 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
293 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
294 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
295 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
296 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
297 |
A |
1 |
1 |
1. |
59 |
0.017 |
|
|
|
|
|
|
|
298 |
A |
1 |
1 |
1. |
59 |
0.017 |
|
|
|
|
|
|
|
299 |
A |
4 |
4 |
1. |
59 |
0.068 |
|
|
|
|
|
|
|
300 |
A |
3 |
3 |
1. |
59 |
0.051 |
|
|
|
|
|
|
|
|
301 |
C |
1 |
1 |
0.37 |
21 |
0.048 |
|
|
|
|
|
|
|
302 |
A |
2 |
2 |
1. |
26 |
0.077 |
|
|
|
|
|
|
|
303 |
A |
1 |
1 |
1. |
41 |
0.024 |
|
|
|
|
|
|
|
304 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
305 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
306 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
307 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
308 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
309 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
310 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
311 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
312 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
313 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
314 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
315 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
316 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
317 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
318 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
319 |
A |
1 |
1 |
1. |
27 |
0.037 |
|
|
|
|
|
|
|
320 |
A |
1 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
|
321 |
A |
13 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
322 |
A |
12 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
323 |
A |
8 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
324 |
A |
8 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
325 |
A |
4 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
326 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
327 |
A |
7 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
328 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
329 |
A |
10 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
330 |
A |
10 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
331 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
332 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
333 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
334 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
335 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
336 |
A |
9 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
337 |
A |
10 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
338 |
A |
10 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
339 |
A |
11 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
340 |
A |
11 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
|
341 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
342 |
A |
5 |
5 |
1. |
19 |
0.263 |
|
|
|
|
|
|
|
343 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
344 |
A |
3 |
3 |
0.91 |
17 |
0.176 |
|
|
|
|
|
|
|
345 |
A |
2 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
346 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
347 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
348 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
349 |
A |
1 |
1 |
1. |
50 |
0.02 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|