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, 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
}
B grade: { 197 }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 37,
38, 39, 40, 41, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 71, 72, 73, 74, 79,
80, 81, 82, 86, 87, 88, 89, 93, 94, 95, 96, 100, 101, 102, 103, 108, 109, 111, 112, 113, 114, 115, 116, 119,
120, 121, 122, 123, 124, 125, 130, 131, 132, 141, 146, 147, 152, 153, 168, 169, 170, 173, 175, 178, 179, 182,
184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 200, 201, 202, 203, 209, 217, 218, 221, 226, 227,
229, 230, 234, 235, 236, 237, 238, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 254,
255, 256, 257, 259, 260, 261, 262, 263, 264, 266, 267, 268, 271, 276, 279, 281, 282, 283, 286
}
B grade: { 1, 2, 3, 15, 27, 28, 34, 35, 36, 42, 43, 44, 54, 61, 62, 107, 126, 171, 172, 180, 181, 195, 196, 204,
210, 211, 212, 213, 219, 220, 225, 228, 252, 253, 258, 273, 275, 285 }
C grade: { 68, 69, 70, 75, 76, 77, 78, 83, 84, 85, 90, 91, 92, 97, 98, 99, 104, 105, 106, 110, 117, 118, 127,
128, 129, 133, 134, 135, 136, 137, 138, 139, 140, 142, 143, 144, 145, 148, 149, 150, 158, 162, 163, 164, 165,
174, 176, 183, 197, 198, 199, 205, 206, 207, 208, 214, 215, 216, 222, 223, 224, 231, 232, 233, 239, 240, 265,
269, 270, 272, 277, 280, 284 }
F grade: { 151, 154, 155, 156, 157, 159, 160, 161, 166, 167, 177, 274, 278}
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52,
53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 74, 75, 76, 79, 80, 81, 82,
83, 84, 85, 86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 100, 101, 102, 103, 104, 105, 108, 109, 111,
112, 113, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126, 127, 131, 132, 133, 134,
136, 137, 138, 139, 141, 142, 143, 144, 148, 149, 150, 168, 169, 171, 172, 173, 181, 182, 185,
186, 187, 188, 190, 191, 192, 193, 194, 195, 196, 199, 200, 201, 202, 203, 204, 208, 209, 213,
214, 215, 216, 220, 221, 222, 223, 224, 229, 230, 231, 232, 233, 244, 245, 246, 247, 248, 249,
250, 251, 255, 256, 257, 262, 263, 264, 265, 266, 268, 269, 273, 275, 276, 279, 282, 285, 286
}
B grade: { 69, 70, 77, 78, 91, 92, 98, 99, 106, 107, 110, 118, 128, 129, 130, 135, 140, 145, 146, 147, 170,
178, 179, 180, 183, 184, 189, 197, 198, 205, 206, 207, 210, 211, 212, 217, 218, 219, 225, 226, 227,
228, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 252, 253, 254, 258, 259, 260, 261, 281
}
C grade: { 267, 270, 271, 272, 274, 277, 278, 280, 283, 284 }
F grade: { 38, 48, 60, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
174, 175, 176, 177 }
2.1.4 Maxima
A grade: { 2, 3, 4, 7, 8, 9, 14, 26, 38, 39, 40, 41, 47, 48, 49, 50, 51, 57, 58, 59, 60, 61, 62, 63, 86, 87, 88, 93,
94, 95, 100, 101, 109, 110, 116, 118, 126, 129, 135, 136, 140, 141, 145, 147, 156, 157, 162, 163,
164, 168, 173, 183, 185, 186, 187, 188, 195, 196, 203, 221, 229, 230, 244, 245, 246, 247, 285,
286
B grade: { 1, 5, 6, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35,
36, 37, 42, 43, 44, 45, 46, 52, 53, 54, 55, 56, 89, 96, 102, 103, 107, 108, 111, 112, 113, 114, 115, 117, 119,
120, 121, 122, 123, 124, 125, 127, 128, 130, 131, 132, 133, 134, 137, 138, 139, 142, 143, 146, 148, 150, 158,
169, 170, 171, 172, 178, 180, 181, 182, 193, 194, 202, 204, 210, 211, 212, 213, 217, 218, 219, 220, 225, 226,
227, 228 }
C grade: { }
F grade: { 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 90, 91,
92, 97, 98, 99, 104, 105, 106, 144, 149, 151, 152, 153, 154, 155, 159, 160, 161, 165, 166, 167,
174, 175, 176, 177, 179, 184, 189, 190, 191, 192, 197, 198, 199, 200, 201, 205, 206, 207, 208,
209, 214, 215, 216, 222, 223, 224, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242,
243, 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
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 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, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86,
87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 109, 113,
114, 115, 120, 121, 123, 124, 125, 132, 136, 138, 143, 144, 148, 149, 150, 156, 157, 158, 162,
163, 164, 168, 169, 171, 172, 173, 178, 179, 180, 181, 182, 185, 186, 187, 188, 189, 193, 194,
195, 196, 197, 202, 203, 204, 205, 210, 211, 213, 214, 217, 218, 220, 221, 225, 226, 227, 228,
229, 230, 235, 236, 237, 239, 240, 241, 242, 244, 245, 246, 247, 248, 249, 255, 256, 262, 286
}
B grade: { 17, 30, 56, 69, 74, 82, 107, 108, 111, 112, 116, 119, 122, 126, 130, 131, 137, 141, 142, 146, 147,
170, 183, 184, 190, 191, 192, 198, 199, 200, 201, 206, 207, 208, 209, 212, 215, 216, 219, 222, 223, 224, 231,
232, 233, 234, 238, 250, 251, 253, 254, 260, 261, 285 }
C grade: { }
F grade: { 110, 117, 118, 127, 128, 129, 133, 134, 135, 139, 140, 145, 151, 152, 153, 154, 155, 159, 160,
161, 165, 166, 167, 174, 175, 176, 177, 243, 252, 257, 258, 259, 263, 264, 265, 266, 267, 268, 269, 270, 271,
272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284 }
2.1.6 Sympy
A grade: { 170 }
B grade: { }
C grade: { }
F 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, 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
}
2.1.7 Giac
A grade: { 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 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, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 91, 92, 93,
94, 95, 96, 98, 99, 100, 101, 102, 105, 106, 133, 134, 135, 139, 140, 145, 168, 169, 170, 171, 172, 173, 196,
199, 203, 204, 208, 213, 214, 215, 216, 220, 221, 226, 227, 229, 230, 248, 249, 255, 261, 262, 285, 286
}
B grade: { 3, 14, 103, 141, 146, 147, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
197, 198, 200, 201, 202, 205, 206, 207, 209, 210, 211, 212, 217, 218, 219, 222, 223, 224, 225,
228, 231, 232, 233, 244, 245, 246, 247, 250, 251, 252, 253, 254, 256, 257, 258, 259, 260, 263
}
C grade: { 68, 75, 83, 90, 97, 104 }
F grade: { 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, 136, 137, 138, 142, 143, 144, 148, 149, 150, 151, 152,
153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 174, 175, 176, 177,
178, 179, 180, 181, 182, 183, 184, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 264, 265,
266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284
}
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 499 | 130 | 290 | 347 | 0 | 207 |
normalized size | 1 | 1. | 4.75 | 1.24 | 2.76 | 3.3 | 0. | 1.97 |
time (sec) |
N/A |
0.195 |
1.671 |
0.027 |
0.977 |
0.494 |
0. |
1.504 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 887 | 107 | 180 | 302 | 0 | 182 |
normalized size | 1 | 1. | 10.31 | 1.24 | 2.09 | 3.51 | 0. | 2.12 |
time (sec) |
N/A |
0.157 |
6.46 |
0.022 |
0.956 |
0.486 |
0. |
1.482 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
B |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 313 | 84 | 146 | 263 | 0 | 158 |
normalized size | 1 | 1. | 5.13 | 1.38 | 2.39 | 4.31 | 0. | 2.59 |
time (sec) |
N/A |
0.104 |
0.718 |
0.022 |
0.967 |
0.483 |
0. |
1.55 |
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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 |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 42 | 92 | 178 | 0 | 80 |
normalized size | 1 | 1. | 1. | 1.11 | 2.42 | 4.68 | 0. | 2.11 |
time (sec) |
N/A |
0.05 |
0.029 |
0.015 |
0.951 |
0.476 |
0. |
1.824 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 77 | 63 | 136 | 174 | 0 | 85 |
normalized size | 1 | 1. | 1.83 | 1.5 | 3.24 | 4.14 | 0. | 2.02 |
time (sec) |
N/A |
0.054 |
0.067 |
0.063 |
0.996 |
0.472 |
0. |
1.386 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 50 | 21 | 131 | 123 | 0 | 28 |
normalized size | 1 | 1. | 1.39 | 0.58 | 3.64 | 3.42 | 0. | 0.78 |
time (sec) |
N/A |
0.05 |
0.263 |
0.07 |
0.975 |
0.435 |
0. |
1.322 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 87 | 37 | 158 | 189 | 0 | 53 |
normalized size | 1 | 1. | 1.14 | 0.49 | 2.08 | 2.49 | 0. | 0.7 |
time (sec) |
N/A |
0.098 |
0.333 |
0.079 |
0.991 |
0.442 |
0. |
1.291 |
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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 |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 113 | 50 | 239 | 258 | 0 | 73 |
normalized size | 1 | 1. | 0.97 | 0.43 | 2.06 | 2.22 | 0. | 0.63 |
time (sec) |
N/A |
0.15 |
0.393 |
0.084 |
1.028 |
0.446 |
0. |
1.315 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 139 | 63 | 266 | 321 | 0 | 93 |
normalized size | 1 | 1. | 0.88 | 0.4 | 1.68 | 2.03 | 0. | 0.59 |
time (sec) |
N/A |
0.21 |
0.356 |
0.093 |
1.028 |
0.454 |
0. |
1.227 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 171 | 171 | 102 | 192 | 497 | 448 | 0 | 279 |
normalized size | 1 | 1. | 0.6 | 1.12 | 2.91 | 2.62 | 0. | 1.63 |
time (sec) |
N/A |
0.274 |
1.857 |
0.033 |
1.021 |
0.512 |
0. |
1.312 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 150 | 150 | 91 | 167 | 433 | 404 | 0 | 252 |
normalized size | 1 | 1. | 0.61 | 1.11 | 2.89 | 2.69 | 0. | 1.68 |
time (sec) |
N/A |
0.241 |
1.333 |
0.03 |
0.993 |
0.507 |
0. |
1.35 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 82 | 142 | 306 | 356 | 0 | 225 |
normalized size | 1 | 1. | 0.87 | 1.51 | 3.26 | 3.79 | 0. | 2.39 |
time (sec) |
N/A |
0.149 |
0.742 |
0.026 |
0.977 |
0.497 |
0. |
1.268 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 51 | 75 | 203 | 243 | 0 | 124 |
normalized size | 1 | 1. | 0.7 | 1.03 | 2.78 | 3.33 | 0. | 1.7 |
time (sec) |
N/A |
0.108 |
0.149 |
0.02 |
0.967 |
0.483 |
0. |
1.249 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 45 | 84 | 146 | 263 | 0 | 158 |
normalized size | 1 | 1. | 0.74 | 1.38 | 2.39 | 4.31 | 0. | 2.59 |
time (sec) |
N/A |
0.103 |
0.102 |
0.02 |
1.008 |
0.481 |
0. |
1.331 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 220 | 116 | 304 | 275 | 0 | 142 |
normalized size | 1 | 1. | 2.97 | 1.57 | 4.11 | 3.72 | 0. | 1.92 |
time (sec) |
N/A |
0.099 |
1.717 |
0.063 |
1.032 |
0.476 |
0. |
1.311 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 109 | 91 | 271 | 313 | 0 | 119 |
normalized size | 1 | 1. | 1.22 | 1.02 | 3.04 | 3.52 | 0. | 1.34 |
time (sec) |
N/A |
0.128 |
0.085 |
0.077 |
0.984 |
0.479 |
0. |
1.262 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 25 | 23 | 255 | 196 | 0 | 31 |
normalized size | 1 | 1. | 0.66 | 0.61 | 6.71 | 5.16 | 0. | 0.82 |
time (sec) |
N/A |
0.075 |
0.116 |
0.083 |
0.987 |
0.44 |
0. |
1.341 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 115 | 39 | 365 | 267 | 0 | 58 |
normalized size | 1 | 1. | 1.44 | 0.49 | 4.56 | 3.34 | 0. | 0.72 |
time (sec) |
N/A |
0.15 |
0.43 |
0.097 |
1.058 |
0.444 |
0. |
1.338 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 141 | 52 | 363 | 342 | 0 | 81 |
normalized size | 1 | 1. | 1.17 | 0.43 | 3. | 2.83 | 0. | 0.67 |
time (sec) |
N/A |
0.23 |
0.421 |
0.102 |
1.057 |
0.456 |
0. |
1.264 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 167 | 65 | 525 | 414 | 0 | 104 |
normalized size | 1 | 1. | 1.02 | 0.4 | 3.22 | 2.54 | 0. | 0.64 |
time (sec) |
N/A |
0.315 |
0.704 |
0.115 |
1.051 |
0.462 |
0. |
1.324 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 227 | 227 | 122 | 242 | 598 | 544 | 0 | 333 |
normalized size | 1 | 1. | 0.54 | 1.07 | 2.63 | 2.4 | 0. | 1.47 |
time (sec) |
N/A |
0.335 |
3.399 |
0.143 |
1.008 |
0.532 |
0. |
1.399 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 206 | 206 | 111 | 217 | 551 | 489 | 0 | 306 |
normalized size | 1 | 1. | 0.54 | 1.05 | 2.67 | 2.37 | 0. | 1.49 |
time (sec) |
N/A |
0.302 |
2.345 |
0.035 |
1.011 |
0.522 |
0. |
1.427 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 102 | 192 | 497 | 444 | 0 | 279 |
normalized size | 1 | 1. | 0.84 | 1.59 | 4.11 | 3.67 | 0. | 2.31 |
time (sec) |
N/A |
0.178 |
1.715 |
0.029 |
1.029 |
0.511 |
0. |
1.376 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 60 | 100 | 329 | 285 | 0 | 147 |
normalized size | 1 | 1. | 0.6 | 1. | 3.29 | 2.85 | 0. | 1.47 |
time (sec) |
N/A |
0.131 |
0.248 |
0.024 |
0.985 |
0.496 |
0. |
1.361 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 81 | 142 | 306 | 356 | 0 | 225 |
normalized size | 1 | 1. | 0.86 | 1.51 | 3.26 | 3.79 | 0. | 2.39 |
time (sec) |
N/A |
0.148 |
0.848 |
0.027 |
0.988 |
0.494 |
0. |
1.357 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
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 | 86 | 86 | 70 | 107 | 180 | 302 | 0 | 182 |
normalized size | 1 | 1. | 0.81 | 1.24 | 2.09 | 3.51 | 0. | 2.12 |
time (sec) |
N/A |
0.156 |
0.616 |
0.024 |
1.012 |
0.488 |
0. |
1.317 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 287 | 166 | 522 | 320 | 0 | 167 |
normalized size | 1 | 1. | 2.87 | 1.66 | 5.22 | 3.2 | 0. | 1.67 |
time (sec) |
N/A |
0.129 |
3.04 |
0.076 |
1.014 |
0.484 |
0. |
1.273 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 402 | 140 | 471 | 410 | 0 | 165 |
normalized size | 1 | 1. | 3.38 | 1.18 | 3.96 | 3.45 | 0. | 1.39 |
time (sec) |
N/A |
0.183 |
3.247 |
0.078 |
1.035 |
0.487 |
0. |
1.324 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 139 | 113 | 417 | 446 | 0 | 144 |
normalized size | 1 | 1. | 1.05 | 0.86 | 3.16 | 3.38 | 0. | 1.09 |
time (sec) |
N/A |
0.214 |
0.108 |
0.09 |
1.029 |
0.485 |
0. |
1.288 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 25 | 23 | 481 | 261 | 0 | 31 |
normalized size | 1 | 1. | 0.66 | 0.61 | 12.66 | 6.87 | 0. | 0.82 |
time (sec) |
N/A |
0.072 |
0.152 |
0.095 |
1.058 |
0.449 |
0. |
1.342 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 141 | 39 | 482 | 333 | 0 | 58 |
normalized size | 1 | 1. | 1.76 | 0.49 | 6.02 | 4.16 | 0. | 0.72 |
time (sec) |
N/A |
0.152 |
0.385 |
0.113 |
1.069 |
0.457 |
0. |
1.252 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
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 | 121 | 121 | 167 | 52 | 699 | 413 | 0 | 81 |
normalized size |
1 |
1. |
1.38 |
0.43 |
5.78 |
3.41 |
0. |
0.67 |
time (sec) |
N/A |
0.23 |
0.677 |
0.125 |
1.093 |
0.467 |
0. |
1.297 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
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 | 162 | 162 | 193 | 65 | 698 | 486 | 0 | 104 |
normalized size |
1 |
1. |
1.19 |
0.4 |
4.31 |
3. |
0. |
0.64 |
time (sec) |
N/A |
0.317 |
0.575 |
0.135 |
1.135 |
0.475 |
0. |
1.353 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 1036 | 212 | 798 | 386 | 0 | 188 |
normalized size | 1 | 1. | 8.56 | 1.75 | 6.6 | 3.19 | 0. | 1.55 |
time (sec) |
N/A |
0.156 |
6.409 |
0.086 |
1.051 |
0.492 |
0. |
1.322 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 287 | 164 | 521 | 344 | 0 | 165 |
normalized size | 1 | 1. | 2.87 | 1.64 | 5.21 | 3.44 | 0. | 1.65 |
time (sec) |
N/A |
0.13 |
3.171 |
0.078 |
1.016 |
0.482 |
0. |
1.393 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 220 | 116 | 302 | 301 | 0 | 138 |
normalized size | 1 | 1. | 2.97 | 1.57 | 4.08 | 4.07 | 0. | 1.86 |
time (sec) |
N/A |
0.103 |
1.58 |
0.059 |
0.961 |
0.479 |
0. |
1.328 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 77 | 61 | 136 | 190 | 0 | 82 |
normalized size | 1 | 1. | 1.88 | 1.49 | 3.32 | 4.63 | 0. | 2. |
time (sec) |
N/A |
0.053 |
0.069 |
0.055 |
0.954 |
0.47 |
0. |
1.305 |
|
|
|
|
|
|
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|
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|
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|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 0 | 24 | 32 | 0 | 26 |
normalized size | 1 | 1. | 1. | 0. | 1.5 | 2. | 0. | 1.62 |
time (sec) |
N/A |
0.089 |
0.028 |
180. |
0.962 |
0.434 |
0. |
1.238 |
|
|
|
|
|
|
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|
Problem 39 |
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 | 59 | 59 | 81 | 48 | 104 | 123 | 0 | 80 |
normalized size | 1 | 1. | 1.37 | 0.81 | 1.76 | 2.08 | 0. | 1.36 |
time (sec) |
N/A |
0.137 |
0.459 |
0.049 |
0.992 |
0.435 |
0. |
1.241 |
|
|
|
|
|
|
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|
Problem 40 |
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 | 78 | 78 | 107 | 61 | 131 | 185 | 0 | 99 |
normalized size | 1 | 1. | 1.37 | 0.78 | 1.68 | 2.37 | 0. | 1.27 |
time (sec) |
N/A |
0.179 |
0.866 |
0.055 |
0.984 |
0.445 |
0. |
1.324 |
|
|
|
|
|
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|
Problem 41 |
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 | 120 | 120 | 145 | 74 | 158 | 255 | 0 | 117 |
normalized size | 1 | 1. | 1.21 | 0.62 | 1.32 | 2.12 | 0. | 0.98 |
time (sec) |
N/A |
0.229 |
0.878 |
0.059 |
1.012 |
0.452 |
0. |
1.219 |
|
|
|
|
|
|
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|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 380 | 234 | 1033 | 521 | 0 | 221 |
normalized size | 1 | 1. | 2.32 | 1.43 | 6.3 | 3.18 | 0. | 1.35 |
time (sec) |
N/A |
0.247 |
1.274 |
0.102 |
1.049 |
0.5 |
0. |
1.368 |
|
|
|
|
|
|
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|
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|
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|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 150 | 150 | 349 | 186 | 717 | 487 | 0 | 198 |
normalized size | 1 | 1. | 2.33 | 1.24 | 4.78 | 3.25 | 0. | 1.32 |
time (sec) |
N/A |
0.215 |
1.947 |
0.092 |
1.023 |
0.494 |
0. |
1.273 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 485 | 136 | 460 | 440 | 0 | 171 |
normalized size | 1 | 1. | 4.08 | 1.14 | 3.87 | 3.7 | 0. | 1.44 |
time (sec) |
N/A |
0.186 |
4.256 |
0.074 |
1.011 |
0.485 |
0. |
1.383 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 109 | 89 | 265 | 340 | 0 | 126 |
normalized size | 1 | 1. | 1.24 | 1.01 | 3.01 | 3.86 | 0. | 1.43 |
time (sec) |
N/A |
0.131 |
0.094 |
0.07 |
0.995 |
0.477 |
0. |
1.313 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 23 | 21 | 127 | 126 | 0 | 28 |
normalized size | 1 | 1. | 0.64 | 0.58 | 3.53 | 3.5 | 0. | 0.78 |
time (sec) |
N/A |
0.048 |
0.088 |
0.066 |
0.978 |
0.437 |
0. |
1.357 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
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 | 59 | 59 | 83 | 48 | 103 | 124 | 0 | 97 |
normalized size | 1 | 1. | 1.41 | 0.81 | 1.75 | 2.1 | 0. | 1.64 |
time (sec) |
N/A |
0.136 |
0.571 |
0.048 |
0.989 |
0.439 |
0. |
1.229 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 33 | 0 | 42 | 111 | 0 | 45 |
normalized size | 1 | 1. | 0.87 | 0. | 1.11 | 2.92 | 0. | 1.18 |
time (sec) |
N/A |
0.098 |
0.05 |
180. |
0.96 |
0.439 |
0. |
1.231 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
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 | 80 | 80 | 147 | 76 | 163 | 259 | 0 | 136 |
normalized size | 1 | 1. | 1.84 | 0.95 | 2.04 | 3.24 | 0. | 1.7 |
time (sec) |
N/A |
0.146 |
0.984 |
0.055 |
0.984 |
0.452 |
0. |
1.284 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
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 | 98 | 98 | 179 | 87 | 189 | 290 | 0 | 155 |
normalized size | 1 | 1. | 1.83 | 0.89 | 1.93 | 2.96 | 0. | 1.58 |
time (sec) |
N/A |
0.189 |
0.916 |
0.058 |
1.019 |
0.458 |
0. |
1.23 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
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 | 141 | 141 | 211 | 102 | 217 | 400 | 0 | 174 |
normalized size | 1 | 1. | 1.5 | 0.72 | 1.54 | 2.84 | 0. | 1.23 |
time (sec) |
N/A |
0.246 |
1.279 |
0.066 |
1.001 |
0.468 |
0. |
1.34 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
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 | 215 | 215 | 406 | 256 | 1262 | 663 | 0 | 250 |
normalized size |
1 |
1. |
1.89 |
1.19 |
5.87 |
3.08 |
0. |
1.16 |
time (sec) |
N/A |
0.336 |
2.2 |
0.123 |
1.114 |
0.516 |
0. |
1.331 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 193 | 193 | 380 | 208 | 918 | 620 | 0 | 225 |
normalized size | 1 | 1. | 1.97 | 1.08 | 4.76 | 3.21 | 0. | 1.17 |
time (sec) |
N/A |
0.309 |
1.377 |
0.103 |
1.062 |
0.504 |
0. |
1.354 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 826 | 160 | 635 | 579 | 0 | 200 |
normalized size | 1 | 1. | 5.04 | 0.98 | 3.87 | 3.53 | 0. | 1.22 |
time (sec) |
N/A |
0.275 |
6.318 |
0.085 |
1.041 |
0.49 |
0. |
1.373 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 139 | 111 | 410 | 479 | 0 | 154 |
normalized size | 1 | 1. | 1.06 | 0.85 | 3.13 | 3.66 | 0. | 1.18 |
time (sec) |
N/A |
0.215 |
0.119 |
0.084 |
1.024 |
0.486 |
0. |
1.263 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 25 | 23 | 250 | 196 | 0 | 31 |
normalized size | 1 | 1. | 0.66 | 0.61 | 6.58 | 5.16 | 0. | 0.82 |
time (sec) |
N/A |
0.074 |
0.114 |
0.082 |
1.007 |
0.441 |
0. |
1.36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
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 | 76 | 76 | 87 | 37 | 155 | 192 | 0 | 53 |
normalized size | 1 | 1. | 1.14 | 0.49 | 2.04 | 2.53 | 0. | 0.7 |
time (sec) |
N/A |
0.099 |
0.329 |
0.069 |
1.007 |
0.438 |
0. |
1.278 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
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 | 78 | 78 | 109 | 61 | 128 | 186 | 0 | 123 |
normalized size | 1 | 1. | 1.4 | 0.78 | 1.64 | 2.38 | 0. | 1.58 |
time (sec) |
N/A |
0.181 |
0.773 |
0.053 |
0.971 |
0.444 |
0. |
1.281 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
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 | 80 | 80 | 147 | 76 | 162 | 261 | 0 | 146 |
normalized size | 1 | 1. | 1.84 | 0.95 | 2.02 | 3.26 | 0. | 1.82 |
time (sec) |
N/A |
0.142 |
0.767 |
0.055 |
1.011 |
0.448 |
0. |
1.286 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 50 | 0 | 55 | 180 | 0 | 59 |
normalized size | 1 | 1. | 0.85 | 0. | 0.93 | 3.05 | 0. | 1. |
time (sec) |
N/A |
0.109 |
0.068 |
180. |
0.96 |
0.456 |
0. |
1.236 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 211 | 102 | 215 | 394 | 0 | 182 |
normalized size | 1 | 1. | 2.13 | 1.03 | 2.17 | 3.98 | 0. | 1.84 |
time (sec) |
N/A |
0.149 |
1.259 |
0.063 |
0.989 |
0.478 |
0. |
1.364 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 257 | 115 | 244 | 462 | 0 | 203 |
normalized size |
1 |
1. |
2.14 |
0.96 |
2.03 |
3.85 |
0. |
1.69 |
time (sec) |
N/A |
0.204 |
1.562 |
0.065 |
1.03 |
0.476 |
0. |
1.407 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 289 | 128 | 270 | 540 | 0 | 221 |
normalized size |
1 |
1. |
1.78 |
0.79 |
1.67 |
3.33 |
0. |
1.36 |
time (sec) |
N/A |
0.26 |
2.157 |
0.068 |
1.017 |
0.491 |
0. |
1.262 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 86 | 83 | 0 | 298 | 0 | 150 |
normalized size |
1 |
1. |
0.53 |
0.51 |
0. |
1.83 |
0. |
0.92 |
time (sec) |
N/A |
0.278 |
0.89 |
0.186 |
0. |
0.483 |
0. |
2.535 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 76 | 73 | 0 | 259 | 0 | 113 |
normalized size |
1 |
1. |
0.62 |
0.6 |
0. |
2.12 |
0. |
0.93 |
time (sec) |
N/A |
0.2 |
0.479 |
0.18 |
0. |
0.469 |
0. |
1.832 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 64 | 63 | 0 | 205 | 0 | 82 |
normalized size |
1 |
1. |
0.79 |
0.78 |
0. |
2.53 |
0. |
1.01 |
time (sec) |
N/A |
0.128 |
0.272 |
0.171 |
0. |
0.466 |
0. |
1.493 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 51 | 53 | 0 | 158 | 0 | 43 |
normalized size |
1 |
1. |
1.31 |
1.36 |
0. |
4.05 |
0. |
1.1 |
time (sec) |
N/A |
0.059 |
0.175 |
0.221 |
0. |
0.454 |
0. |
1.361 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 132 | 85 | 0 | 686 | 0 | 228 |
normalized size | 1 | 1. | 1.71 | 1.1 | 0. | 8.91 | 0. | 2.96 |
time (sec) |
N/A |
0.107 |
0.616 |
0.239 |
0. |
0.583 |
0. |
1.825 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 246 | 164 | 0 | 864 | 0 | 142 |
normalized size | 1 | 1. | 3.24 | 2.16 | 0. | 11.37 | 0. | 1.87 |
time (sec) |
N/A |
0.114 |
1.1 |
0.199 |
0. |
0.606 |
0. |
1.598 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 309 | 308 | 0 | 1042 | 0 | 178 |
normalized size |
1 |
1. |
2.73 |
2.73 |
0. |
9.22 |
0. |
1.58 |
time (sec) |
N/A |
0.155 |
1.209 |
0.214 |
0. |
0.619 |
0. |
1.886 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 171 | 171 | 88 | 85 | 0 | 359 | 0 | 153 |
normalized size |
1 |
1. |
0.51 |
0.5 |
0. |
2.1 |
0. |
0.89 |
time (sec) |
N/A |
0.448 |
1.595 |
0.2 |
0. |
0.489 |
0. |
4.106 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 78 | 75 | 0 | 313 | 0 | 116 |
normalized size |
1 |
1. |
0.61 |
0.59 |
0. |
2.45 |
0. |
0.91 |
time (sec) |
N/A |
0.327 |
1.192 |
0.19 |
0. |
0.482 |
0. |
2.652 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 66 | 65 | 0 | 254 | 0 | 85 |
normalized size |
1 |
1. |
0.78 |
0.76 |
0. |
2.99 |
0. |
1. |
time (sec) |
N/A |
0.208 |
0.734 |
0.187 |
0. |
0.472 |
0. |
1.949 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 55 | 55 | 0 | 200 | 0 | 46 |
normalized size |
1 |
1. |
1.34 |
1.34 |
0. |
4.88 |
0. |
1.12 |
time (sec) |
N/A |
0.097 |
0.426 |
0.253 |
0. |
0.465 |
0. |
1.426 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 123 | 173 | 145 | 0 | 851 | 0 | 267 |
normalized size | 1 | 1.05 | 1.48 | 1.24 | 0. | 7.27 | 0. | 2.28 |
time (sec) |
N/A |
0.213 |
0.889 |
0.25 |
0. |
0.597 |
0. |
1.95 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 124 | 184 | 144 | 0 | 907 | 0 | 234 |
normalized size |
1 |
1.1 |
1.63 |
1.27 |
0. |
8.03 |
0. |
2.07 |
time (sec) |
N/A |
0.228 |
1.431 |
0.218 |
0. |
0.612 |
0. |
1.708 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 130 | 359 | 230 | 0 | 1076 | 0 | 181 |
normalized size |
1 |
1.11 |
3.07 |
1.97 |
0. |
9.2 |
0. |
1.55 |
time (sec) |
N/A |
0.238 |
2.411 |
0.227 |
0. |
0.625 |
0. |
2.196 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 398 | 402 | 0 | 1281 | 0 | 219 |
normalized size |
1 |
1. |
2.43 |
2.45 |
0. |
7.81 |
0. |
1.34 |
time (sec) |
N/A |
0.282 |
5.692 |
0.236 |
0. |
0.665 |
0. |
2.728 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 171 | 171 | 88 | 85 | 0 | 400 | 0 | 153 |
normalized size |
1 |
1. |
0.51 |
0.5 |
0. |
2.34 |
0. |
0.89 |
time (sec) |
N/A |
0.444 |
2.59 |
0.218 |
0. |
0.505 |
0. |
5.747 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 78 | 75 | 0 | 355 | 0 | 116 |
normalized size |
1 |
1. |
0.61 |
0.59 |
0. |
2.77 |
0. |
0.91 |
time (sec) |
N/A |
0.323 |
1.542 |
0.208 |
0. |
0.489 |
0. |
3.544 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 66 | 65 | 0 | 290 | 0 | 85 |
normalized size |
1 |
1. |
0.78 |
0.76 |
0. |
3.41 |
0. |
1. |
time (sec) |
N/A |
0.209 |
1.03 |
0.199 |
0. |
0.479 |
0. |
2.44 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 55 | 55 | 0 | 231 | 0 | 46 |
normalized size |
1 |
1. |
1.34 |
1.34 |
0. |
5.63 |
0. |
1.12 |
time (sec) |
N/A |
0.096 |
0.708 |
0.248 |
0. |
0.469 |
0. |
1.551 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 185 | 206 | 0 | 942 | 0 | 308 |
normalized size |
1 |
1. |
1.13 |
1.26 |
0. |
5.74 |
0. |
1.88 |
time (sec) |
N/A |
0.325 |
1.533 |
0.273 |
0. |
0.617 |
0. |
2.169 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 168 | 168 | 324 | 157 | 0 | 1067 | 0 | 300 |
normalized size |
1 |
1. |
1.93 |
0.93 |
0. |
6.35 |
0. |
1.79 |
time (sec) |
N/A |
0.336 |
2.961 |
0.232 |
0. |
0.656 |
0. |
1.822 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 174 | 174 | 263 | 206 | 0 | 1107 | 0 | 305 |
normalized size |
1 |
1. |
1.51 |
1.18 |
0. |
6.36 |
0. |
1.75 |
time (sec) |
N/A |
0.352 |
4.587 |
0.233 |
0. |
0.668 |
0. |
2.47 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 86 | 83 | 220 | 209 | 0 | 151 |
normalized size |
1 |
1. |
0.61 |
0.58 |
1.55 |
1.47 |
0. |
1.06 |
time (sec) |
N/A |
0.234 |
0.756 |
0.187 |
1.568 |
0.481 |
0. |
2.066 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 74 | 73 | 185 | 176 | 0 | 115 |
normalized size |
1 |
1. |
0.69 |
0.68 |
1.71 |
1.63 |
0. |
1.06 |
time (sec) |
N/A |
0.191 |
0.43 |
0.177 |
1.502 |
0.469 |
0. |
1.637 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
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 | 72 | 72 | 54 | 63 | 149 | 116 | 0 | 86 |
normalized size | 1 | 1. | 0.75 | 0.88 | 2.07 | 1.61 | 0. | 1.19 |
time (sec) |
N/A |
0.153 |
0.241 |
0.174 |
1.522 |
0.463 |
0. |
1.49 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 29 | 43 | 113 | 103 | 0 | 85 |
normalized size | 1 | 1. | 0.74 | 1.1 | 2.9 | 2.64 | 0. | 2.18 |
time (sec) |
N/A |
0.107 |
0.131 |
0.235 |
1.525 |
0.456 |
0. |
1.42 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 155 | 107 | 0 | 675 | 0 | 184 |
normalized size | 1 | 1. | 1.74 | 1.2 | 0. | 7.58 | 0. | 2.07 |
time (sec) |
N/A |
0.157 |
0.496 |
0.194 |
0. |
0.588 |
0. |
1.405 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 183 | 266 | 0 | 857 | 0 | 177 |
normalized size | 1 | 1. | 1.5 | 2.18 | 0. | 7.02 | 0. | 1.45 |
time (sec) |
N/A |
0.211 |
1.431 |
0.21 |
0. |
0.617 |
0. |
1.602 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 156 | 306 | 471 | 0 | 1049 | 0 | 220 |
normalized size | 1 | 1. | 1.96 | 3.02 | 0. | 6.72 | 0. | 1.41 |
time (sec) |
N/A |
0.255 |
3.019 |
0.22 |
0. |
0.664 |
0. |
1.585 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 155 | 155 | 84 | 85 | 254 | 243 | 0 | 144 |
normalized size |
1 |
1. |
0.54 |
0.55 |
1.64 |
1.57 |
0. |
0.93 |
time (sec) |
N/A |
0.317 |
0.941 |
0.193 |
1.726 |
0.487 |
0. |
4.218 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 68 | 75 | 220 | 193 | 0 | 109 |
normalized size |
1 |
1. |
0.55 |
0.61 |
1.79 |
1.57 |
0. |
0.89 |
time (sec) |
N/A |
0.274 |
0.397 |
0.208 |
1.589 |
0.471 |
0. |
2.926 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
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 | 89 | 89 | 60 | 53 | 149 | 171 | 0 | 84 |
normalized size | 1 | 1. | 0.67 | 0.6 | 1.67 | 1.92 | 0. | 0.94 |
time (sec) |
N/A |
0.219 |
0.249 |
0.207 |
1.536 |
0.465 |
0. |
2.229 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 55 | 53 | 147 | 142 | 0 | 89 |
normalized size | 1 | 1. | 1.34 | 1.29 | 3.59 | 3.46 | 0. | 2.17 |
time (sec) |
N/A |
0.1 |
0.15 |
0.256 |
1.526 |
0.46 |
0. |
1.394 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 259 | 131 | 0 | 864 | 0 | 224 |
normalized size | 1 | 1. | 1.88 | 0.95 | 0. | 6.26 | 0. | 1.62 |
time (sec) |
N/A |
0.271 |
2.143 |
0.219 |
0. |
0.617 |
0. |
1.58 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 365 | 320 | 0 | 948 | 0 | 221 |
normalized size | 1 | 1. | 2.16 | 1.89 | 0. | 5.61 | 0. | 1.31 |
time (sec) |
N/A |
0.343 |
1.399 |
0.233 |
0. |
0.661 |
0. |
1.512 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 434 | 551 | 0 | 1239 | 0 | 265 |
normalized size |
1 |
1. |
2.14 |
2.71 |
0. |
6.1 |
0. |
1.31 |
time (sec) |
N/A |
0.389 |
2.381 |
0.242 |
0. |
0.76 |
0. |
1.644 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 78 | 85 | 289 | 261 | 0 | 143 |
normalized size |
1 |
1. |
0.46 |
0.5 |
1.71 |
1.54 |
0. |
0.85 |
time (sec) |
N/A |
0.402 |
0.626 |
0.241 |
1.497 |
0.484 |
0. |
6.36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 74 | 65 | 255 | 250 | 0 | 111 |
normalized size |
1 |
1. |
0.55 |
0.48 |
1.89 |
1.85 |
0. |
0.82 |
time (sec) |
N/A |
0.348 |
0.344 |
0.247 |
1.508 |
0.472 |
0. |
4.376 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 60 | 63 | 220 | 211 | 0 | 81 |
normalized size | 1 | 1. | 0.68 | 0.72 | 2.5 | 2.4 | 0. | 0.92 |
time (sec) |
N/A |
0.222 |
0.317 |
0.237 |
1.517 |
0.469 |
0. |
2.858 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 55 | 55 | 184 | 176 | 0 | 194 |
normalized size | 1 | 1. | 1.34 | 1.34 | 4.49 | 4.29 | 0. | 4.73 |
time (sec) |
N/A |
0.102 |
0.153 |
0.29 |
1.492 |
0.467 |
0. |
1.645 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 181 | 181 | 225 | 155 | 0 | 1053 | 0 | 261 |
normalized size | 1 | 1. | 1.24 | 0.86 | 0. | 5.82 | 0. | 1.44 |
time (sec) |
N/A |
0.394 |
1.58 |
0.244 |
0. |
0.66 |
0. |
1.616 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 212 | 212 | 398 | 370 | 0 | 1242 | 0 | 257 |
normalized size |
1 |
1. |
1.88 |
1.75 |
0. |
5.86 |
0. |
1.21 |
time (sec) |
N/A |
0.477 |
6.446 |
0.27 |
0. |
0.697 |
0. |
1.752 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 246 | 246 | 468 | 631 | 0 | 1207 | 0 | 298 |
normalized size |
1 |
1. |
1.9 |
2.57 |
0. |
4.91 |
0. |
1.21 |
time (sec) |
N/A |
0.532 |
6.639 |
0.278 |
0. |
0.835 |
0. |
1.89 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 87 | 82 | 861 | 225 | 0 | 0 |
normalized size |
1 |
1. |
2.02 |
1.91 |
20.02 |
5.23 |
0. |
0. |
time (sec) |
N/A |
0.133 |
0.464 |
0.3 |
1.877 |
0.473 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 73 | 72 | 402 | 186 | 0 | 0 |
normalized size |
1 |
1. |
1.7 |
1.67 |
9.35 |
4.33 |
0. |
0. |
time (sec) |
N/A |
0.133 |
0.301 |
0.313 |
1.865 |
0.465 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 56 | 62 | 74 | 132 | 0 | 0 |
normalized size |
1 |
1. |
1.37 |
1.51 |
1.8 |
3.22 |
0. |
0. |
time (sec) |
N/A |
0.12 |
0.163 |
0.304 |
1.557 |
0.466 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 99 | 136 | 124 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.94 |
2.67 |
2.43 |
0. |
0. |
0. |
time (sec) |
N/A |
0.125 |
0.853 |
0.309 |
1.523 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 62 | 60 | 694 | 186 | 0 | 0 |
normalized size |
1 |
1. |
1.48 |
1.43 |
16.52 |
4.43 |
0. |
0. |
time (sec) |
N/A |
0.139 |
0.252 |
0.303 |
1.834 |
0.461 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 69 | 70 | 1023 | 254 | 0 | 0 |
normalized size |
1 |
1. |
1.6 |
1.63 |
23.79 |
5.91 |
0. |
0. |
time (sec) |
N/A |
0.137 |
0.384 |
0.293 |
2.094 |
0.472 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 108 | 103 | 2268 | 274 | 0 | 0 |
normalized size |
1 |
1. |
1.21 |
1.16 |
25.48 |
3.08 |
0. |
0. |
time (sec) |
N/A |
0.275 |
1.071 |
0.275 |
1.891 |
0.49 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 97 | 93 | 1492 | 273 | 0 | 0 |
normalized size |
1 |
1. |
1.09 |
1.04 |
16.76 |
3.07 |
0. |
0. |
time (sec) |
N/A |
0.276 |
0.592 |
0.263 |
1.859 |
0.481 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 78 | 83 | 743 | 197 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
0.93 |
8.35 |
2.21 |
0. |
0. |
time (sec) |
N/A |
0.274 |
0.431 |
0.27 |
1.848 |
0.471 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 73 | 73 | 76 | 186 | 0 | 0 |
normalized size |
1 |
1. |
1.7 |
1.7 |
1.77 |
4.33 |
0. |
0. |
time (sec) |
N/A |
0.13 |
0.275 |
0.322 |
1.531 |
0.467 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 174 | 162 | 371 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.83 |
1.71 |
3.91 |
0. |
0. |
0. |
time (sec) |
N/A |
0.264 |
1.448 |
0.338 |
1.903 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 134 | 251 | 165 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.35 |
2.54 |
1.67 |
0. |
0. |
0. |
time (sec) |
N/A |
0.275 |
0.656 |
0.308 |
1.595 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 63 | 73 | 720 | 225 | 0 | 0 |
normalized size |
1 |
1. |
1.5 |
1.74 |
17.14 |
5.36 |
0. |
0. |
time (sec) |
N/A |
0.149 |
0.492 |
0.267 |
1.82 |
0.471 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 80 | 83 | 2105 | 321 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
0.94 |
23.92 |
3.65 |
0. |
0. |
time (sec) |
N/A |
0.301 |
0.553 |
0.283 |
4.423 |
0.483 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 90 | 93 | 3521 | 383 | 0 | 0 |
normalized size |
1 |
1. |
0.98 |
1.01 |
38.27 |
4.16 |
0. |
0. |
time (sec) |
N/A |
0.285 |
0.847 |
0.283 |
19.998 |
0.498 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 100 | 103 | 5273 | 458 | 0 | 0 |
normalized size |
1 |
1. |
1.09 |
1.12 |
57.32 |
4.98 |
0. |
0. |
time (sec) |
N/A |
0.287 |
1.238 |
0.277 |
109.892 |
0.505 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 113 | 105 | 3313 | 360 | 0 | 0 |
normalized size |
1 |
1. |
0.84 |
0.78 |
24.72 |
2.69 |
0. |
0. |
time (sec) |
N/A |
0.421 |
1.343 |
0.265 |
1.96 |
0.503 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 92 | 95 | 2060 | 251 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
0.71 |
15.37 |
1.87 |
0. |
0. |
time (sec) |
N/A |
0.424 |
0.779 |
0.26 |
1.91 |
0.483 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 96 | 85 | 1493 | 273 | 0 | 0 |
normalized size |
1 |
1. |
1.08 |
0.96 |
16.78 |
3.07 |
0. |
0. |
time (sec) |
N/A |
0.275 |
0.599 |
0.261 |
1.885 |
0.48 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 88 | 75 | 78 | 225 | 0 | 0 |
normalized size |
1 |
1. |
2.05 |
1.74 |
1.81 |
5.23 |
0. |
0. |
time (sec) |
N/A |
0.128 |
0.463 |
0.28 |
1.551 |
0.469 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 328 | 189 | 995 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.33 |
1.34 |
7.06 |
0. |
0. |
0. |
time (sec) |
N/A |
0.405 |
6.621 |
0.319 |
1.993 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 145 | 188 | 288 | 2747 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.3 |
1.99 |
18.94 |
0. |
0. |
0. |
time (sec) |
N/A |
0.42 |
1.431 |
0.277 |
2.554 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 145 | 182 | 366 | 228 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.26 |
2.52 |
1.57 |
0. |
0. |
0. |
time (sec) |
N/A |
0.431 |
1.33 |
0.276 |
1.546 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 76 | 75 | 2450 | 298 | 0 | 0 |
normalized size |
1 |
1. |
1.81 |
1.79 |
58.33 |
7.1 |
0. |
0. |
time (sec) |
N/A |
0.146 |
0.551 |
0.248 |
1.923 |
0.481 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 92 | 85 | 3671 | 394 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
0.97 |
41.72 |
4.48 |
0. |
0. |
time (sec) |
N/A |
0.298 |
0.827 |
0.257 |
19.682 |
0.493 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 102 | 95 | 5546 | 471 | 0 | 0 |
normalized size |
1 |
1. |
0.77 |
0.71 |
41.7 |
3.54 |
0. |
0. |
time (sec) |
N/A |
0.456 |
1.158 |
0.264 |
109.035 |
0.506 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 141 | 165 | 995 | 0 | 0 | 188 |
normalized size |
1 |
1. |
1.01 |
1.19 |
7.16 |
0. |
0. |
1.35 |
time (sec) |
N/A |
0.409 |
1.494 |
0.315 |
1.924 |
0. |
0. |
3.665 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 173 | 149 | 373 | 0 | 0 | 154 |
normalized size |
1 |
1. |
1.84 |
1.59 |
3.97 |
0. |
0. |
1.64 |
time (sec) |
N/A |
0.266 |
1.847 |
0.303 |
1.881 |
0. |
0. |
2.174 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 140 | 116 | 86 | 0 | 0 | 116 |
normalized size | 1 | 1. | 2.8 | 2.32 | 1.72 | 0. | 0. | 2.32 |
time (sec) |
N/A |
0.122 |
0.371 |
0.303 |
1.524 |
0. |
0. |
1.632 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 94 | 85 | 59 | 487 | 0 | 0 |
normalized size |
1 |
1. |
2. |
1.81 |
1.26 |
10.36 |
0. |
0. |
time (sec) |
N/A |
0.135 |
0.793 |
0.267 |
1.835 |
0.607 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 79 | 131 | 548 | 952 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
1.38 |
5.77 |
10.02 |
0. |
0. |
time (sec) |
N/A |
0.28 |
0.881 |
0.299 |
1.929 |
0.668 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 91 | 170 | 1621 | 1138 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
1.21 |
11.58 |
8.13 |
0. |
0. |
time (sec) |
N/A |
0.43 |
0.84 |
0.301 |
2.163 |
0.692 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 183 | 235 | 2747 | 0 | 0 | 188 |
normalized size |
1 |
1. |
1.29 |
1.65 |
19.35 |
0. |
0. |
1.32 |
time (sec) |
N/A |
0.424 |
1.044 |
0.263 |
2.515 |
0. |
0. |
4.752 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 132 | 193 | 134 | 0 | 0 | 123 |
normalized size |
1 |
1. |
1.39 |
2.03 |
1.41 |
0. |
0. |
1.29 |
time (sec) |
N/A |
0.278 |
1.053 |
0.253 |
1.532 |
0. |
0. |
3.57 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 42 | 73 | 73 | 186 | 0 | 116 |
normalized size | 1 | 1. | 1. | 1.74 | 1.74 | 4.43 | 0. | 2.76 |
time (sec) |
N/A |
0.134 |
0.184 |
0.284 |
1.522 |
0.467 |
0. |
2.672 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 157 | 123 | 536 | 952 | 0 | 0 |
normalized size |
1 |
1. |
1.65 |
1.29 |
5.64 |
10.02 |
0. |
0. |
time (sec) |
N/A |
0.279 |
1.403 |
0.3 |
1.867 |
0.665 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 69 | 133 | 765 | 979 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.28 |
7.36 |
9.41 |
0. |
0. |
time (sec) |
N/A |
0.182 |
0.772 |
0.261 |
1.973 |
0.695 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 122 | 211 | 0 | 1315 | 0 | 0 |
normalized size |
1 |
1. |
0.84 |
1.45 |
0. |
9.01 |
0. |
0. |
time (sec) |
N/A |
0.341 |
1.505 |
0.269 |
0. |
0.745 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 145 | 178 | 281 | 180 | 0 | 0 | 153 |
normalized size |
1 |
1. |
1.23 |
1.94 |
1.24 |
0. |
0. |
1.06 |
time (sec) |
N/A |
0.436 |
1.423 |
0.261 |
1.507 |
0. |
0. |
7.379 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 68 | 75 | 132 | 225 | 0 | 115 |
normalized size |
1 |
1. |
1.62 |
1.79 |
3.14 |
5.36 |
0. |
2.74 |
time (sec) |
N/A |
0.147 |
0.284 |
0.251 |
1.544 |
0.475 |
0. |
4.044 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 71 | 83 | 78 | 254 | 0 | 117 |
normalized size |
1 |
1. |
1.65 |
1.93 |
1.81 |
5.91 |
0. |
2.72 |
time (sec) |
N/A |
0.134 |
0.246 |
0.29 |
1.536 |
0.472 |
0. |
1.919 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 91 | 164 | 1608 | 1138 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
1.17 |
11.49 |
8.13 |
0. |
0. |
time (sec) |
N/A |
0.424 |
1.053 |
0.3 |
2.149 |
0.693 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 130 | 204 | 0 | 1315 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
1.4 |
0. |
9.01 |
0. |
0. |
time (sec) |
N/A |
0.344 |
1.393 |
0.265 |
0. |
0.74 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 160 | 160 | 84 | 173 | 2240 | 1177 | 0 | 0 |
normalized size |
1 |
1. |
0.52 |
1.08 |
14. |
7.36 |
0. |
0. |
time (sec) |
N/A |
0.202 |
1.391 |
0.277 |
2.932 |
0.772 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.12 |
1.27 |
0.523 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 89 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.108 |
0.248 |
0.433 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 85 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.94 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.078 |
0.163 |
0.366 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.112 |
0.555 |
0.305 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.115 |
0.995 |
0.389 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 160 | 160 | 0 | 0 | 308 | 435 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
1.92 |
2.72 |
0. |
0. |
time (sec) |
N/A |
0.38 |
15.778 |
0.265 |
1.563 |
0.52 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 0 | 0 | 231 | 263 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
2.31 |
2.63 |
0. |
0. |
time (sec) |
N/A |
0.222 |
38.373 |
0.261 |
1.561 |
0.498 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 163 | 0 | 154 | 171 | 0 | 0 |
normalized size |
1 |
1. |
3.54 |
0. |
3.35 |
3.72 |
0. |
0. |
time (sec) |
N/A |
0.102 |
18.772 |
0.313 |
1.56 |
0.474 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.129 |
0.643 |
0.305 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.139 |
0.693 |
0.257 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F(-1) |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.137 |
2.031 |
0.255 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 321 | 0 | 211 | 296 | 0 | 0 |
normalized size |
1 |
1. |
1.9 |
0. |
1.25 |
1.75 |
0. |
0. |
time (sec) |
N/A |
0.374 |
9.026 |
0.658 |
1.539 |
0.513 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 250 | 0 | 144 | 227 | 0 | 0 |
normalized size |
1 |
1. |
2.4 |
0. |
1.38 |
2.18 |
0. |
0. |
time (sec) |
N/A |
0.225 |
3.142 |
0.668 |
1.517 |
0.503 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 208 | 0 | 84 | 169 | 0 | 0 |
normalized size |
1 |
1. |
4.43 |
0. |
1.79 |
3.6 |
0. |
0. |
time (sec) |
N/A |
0.101 |
1.146 |
0.689 |
1.511 |
0.495 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 257 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.54 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.129 |
1.45 |
0.52 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.143 |
2.287 |
0.647 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.154 |
2.777 |
0.665 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
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 | 105 | 105 | 68 | 130 | 232 | 342 | 0 | 207 |
normalized size | 1 | 1. | 0.65 | 1.24 | 2.21 | 3.26 | 0. | 1.97 |
time (sec) |
N/A |
0.193 |
0.309 |
0.027 |
1.037 |
0.494 |
0. |
1.225 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 57 | 107 | 216 | 297 | 0 | 182 |
normalized size | 1 | 1. | 0.66 | 1.24 | 2.51 | 3.45 | 0. | 2.12 |
time (sec) |
N/A |
0.156 |
0.183 |
0.023 |
0.991 |
0.487 |
0. |
1.297 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 36 | 49 | 86 | 53 | 22 |
normalized size | 1 | 1. | 1. | 2.12 | 2.88 | 5.06 | 3.12 | 1.29 |
time (sec) |
N/A |
0.071 |
0.019 |
0.02 |
0.977 |
0.439 |
6.854 |
1.268 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 154 | 104 | 262 | 270 | 0 | 124 |
normalized size | 1 | 1. | 2.75 | 1.86 | 4.68 | 4.82 | 0. | 2.21 |
time (sec) |
N/A |
0.108 |
0.607 |
0.058 |
1.024 |
0.476 |
0. |
1.208 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 335 | 81 | 194 | 323 | 0 | 115 |
normalized size | 1 | 1. | 4.79 | 1.16 | 2.77 | 4.61 | 0. | 1.64 |
time (sec) |
N/A |
0.161 |
0.451 |
0.062 |
0.978 |
0.477 |
0. |
1.198 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
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 | 86 | 86 | 43 | 37 | 155 | 192 | 0 | 53 |
normalized size | 1 | 1. | 0.5 | 0.43 | 1.8 | 2.23 | 0. | 0.62 |
time (sec) |
N/A |
0.163 |
0.178 |
0.071 |
1.008 |
0.44 |
0. |
1.254 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 13374 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 95.53 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.199 |
55.689 |
0.695 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 72 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.11 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.089 |
0.34 |
0.62 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 180 | 180 | 3396 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 18.87 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.232 |
17.365 |
0.897 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 226 | 226 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.413 |
3.118 |
0.504 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 143 | 162 | 234 | 1322 | 855 | 0 | 0 |
normalized size |
1 |
1.38 |
1.56 |
2.25 |
12.71 |
8.22 |
0. |
0. |
time (sec) |
N/A |
0.278 |
1.533 |
0.342 |
2.068 |
0.804 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 116 | 73 | 204 | 0 | 676 | 0 | 0 |
normalized size |
1 |
1.43 |
0.9 |
2.52 |
0. |
8.35 |
0. |
0. |
time (sec) |
N/A |
0.232 |
0.474 |
0.238 |
0. |
0.55 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 213 | 724 | 317 | 1769 | 1229 | 0 | 0 |
normalized size |
1 |
1.52 |
5.17 |
2.26 |
12.64 |
8.78 |
0. |
0. |
time (sec) |
N/A |
0.281 |
6.455 |
0.346 |
2.072 |
0.647 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 150 | 236 | 152 | 724 | 818 | 0 | 0 |
normalized size |
1 |
1.29 |
2.03 |
1.31 |
6.24 |
7.05 |
0. |
0. |
time (sec) |
N/A |
0.303 |
2.944 |
0.305 |
1.954 |
0.51 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 179 | 242 | 328 | 294 | 1890 | 1401 | 0 | 0 |
normalized size |
1 |
1.35 |
1.83 |
1.64 |
10.56 |
7.83 |
0. |
0. |
time (sec) |
N/A |
0.358 |
2.301 |
0.334 |
2.139 |
0.913 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 94 | 138 | 76 | 613 | 0 | 0 |
normalized size |
1 |
1. |
2.04 |
3. |
1.65 |
13.33 |
0. |
0. |
time (sec) |
N/A |
0.255 |
0.789 |
0.276 |
1.887 |
0.735 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 98 | 411 | 0 | 802 | 0 | 0 |
normalized size |
1 |
1. |
1.51 |
6.32 |
0. |
12.34 |
0. |
0. |
time (sec) |
N/A |
0.159 |
0.26 |
0.272 |
0. |
1.049 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 236 | 236 | 153 | 431 | 512 | 687 | 0 | 802 |
normalized size | 1 | 1. | 0.65 | 1.83 | 2.17 | 2.91 | 0. | 3.4 |
time (sec) |
N/A |
0.437 |
1.8 |
0.057 |
0.991 |
0.541 |
0. |
1.518 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 171 | 171 | 103 | 290 | 359 | 510 | 0 | 539 |
normalized size | 1 | 1. | 0.6 | 1.7 | 2.1 | 2.98 | 0. | 3.15 |
time (sec) |
N/A |
0.295 |
0.677 |
0.049 |
0.981 |
0.514 |
0. |
1.629 |
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Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 75 | 174 | 223 | 371 | 0 | 329 |
normalized size | 1 | 1. | 0.69 | 1.61 | 2.06 | 3.44 | 0. | 3.05 |
time (sec) |
N/A |
0.165 |
0.413 |
0.042 |
0.965 |
0.494 |
0. |
1.627 |
|
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Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 75 | 86 | 119 | 247 | 0 | 177 |
normalized size | 1 | 1. | 1.34 | 1.54 | 2.12 | 4.41 | 0. | 3.16 |
time (sec) |
N/A |
0.072 |
0.03 |
0.035 |
0.977 |
0.481 |
0. |
1.51 |
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Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 107 | 135 | 0 | 622 | 0 | 178 |
normalized size |
1 |
1. |
1.55 |
1.96 |
0. |
9.01 |
0. |
2.58 |
time (sec) |
N/A |
0.144 |
0.185 |
0.078 |
0. |
0.642 |
0. |
2.036 |
|
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Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 75 | 105 | 0 | 780 | 0 | 193 |
normalized size |
1 |
1. |
0.95 |
1.33 |
0. |
9.87 |
0. |
2.44 |
time (sec) |
N/A |
0.139 |
0.226 |
0.089 |
0. |
0.509 |
0. |
1.708 |
|
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Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 167 | 178 | 0 | 1604 | 0 | 370 |
normalized size |
1 |
1. |
1.27 |
1.36 |
0. |
12.24 |
0. |
2.82 |
time (sec) |
N/A |
0.27 |
1.175 |
0.102 |
0. |
0.579 |
0. |
1.39 |
|
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Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 189 | 189 | 247 | 271 | 0 | 2731 | 0 | 632 |
normalized size |
1 |
1. |
1.31 |
1.43 |
0. |
14.45 |
0. |
3.34 |
time (sec) |
N/A |
0.454 |
3.189 |
0.117 |
0. |
0.692 |
0. |
1.504 |
|
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Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 327 | 371 | 460 | 602 | 922 | 884 | 0 | 1038 |
normalized size | 1 | 1.13 | 1.41 | 1.84 | 2.82 | 2.7 | 0. | 3.17 |
time (sec) |
N/A |
0.424 |
2.018 |
0.075 |
1.028 |
0.567 |
0. |
1.454 |
|
|
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Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 242 | 277 | 326 | 420 | 633 | 667 | 0 | 714 |
normalized size | 1 | 1.14 | 1.35 | 1.74 | 2.62 | 2.76 | 0. | 2.95 |
time (sec) |
N/A |
0.343 |
1.455 |
0.063 |
0.988 |
0.531 |
0. |
1.472 |
|
|
|
|
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Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 234 | 479 | 268 | 437 | 490 | 0 | 452 |
normalized size | 1 | 1.33 | 2.72 | 1.52 | 2.48 | 2.78 | 0. | 2.57 |
time (sec) |
N/A |
0.262 |
1.001 |
0.052 |
1.02 |
0.511 |
0. |
1.403 |
|
|
|
|
|
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Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 481 | 141 | 225 | 336 | 0 | 252 |
normalized size | 1 | 1. | 4.67 | 1.37 | 2.18 | 3.26 | 0. | 2.45 |
time (sec) |
N/A |
0.117 |
6.242 |
0.041 |
0.984 |
0.49 |
0. |
1.433 |
|
|
|
|
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Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
B |
C |
B |
F(-2) |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 208 | 329 | 291 | 0 | 953 | 0 | 274 |
normalized size |
1 |
2.19 |
3.46 |
3.06 |
0. |
10.03 |
0. |
2.88 |
time (sec) |
N/A |
0.245 |
1.989 |
0.081 |
0. |
0.953 |
0. |
1.285 |
|
|
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Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 231 | 312 | 330 | 0 | 1289 | 0 | 323 |
normalized size |
1 |
1.97 |
2.67 |
2.82 |
0. |
11.02 |
0. |
2.76 |
time (sec) |
N/A |
0.257 |
1.475 |
0.11 |
0. |
0.988 |
0. |
1.383 |
|
|
|
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Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 184 | 249 | 167 | 0 | 1339 | 0 | 297 |
normalized size |
1 |
1.42 |
1.92 |
1.28 |
0. |
10.3 |
0. |
2.28 |
time (sec) |
N/A |
0.197 |
1.161 |
0.107 |
0. |
0.562 |
0. |
1.367 |
|
|
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Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 213 | 268 | 211 | 228 | 0 | 2585 | 0 | 567 |
normalized size |
1 |
1.26 |
0.99 |
1.07 |
0. |
12.14 |
0. |
2.66 |
time (sec) |
N/A |
0.283 |
4.735 |
0.128 |
0. |
0.678 |
0. |
1.448 |
|
|
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Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 276 | 330 | 322 | 352 | 0 | 4093 | 0 | 998 |
normalized size |
1 |
1.2 |
1.17 |
1.28 |
0. |
14.83 |
0. |
3.62 |
time (sec) |
N/A |
0.557 |
9.697 |
0.146 |
0. |
0.836 |
0. |
1.601 |
|
|
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Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 288 | 333 | 380 | 523 | 946 | 791 | 0 | 825 |
normalized size | 1 | 1.16 | 1.32 | 1.82 | 3.28 | 2.75 | 0. | 2.86 |
time (sec) |
N/A |
0.427 |
2.778 |
0.075 |
1.015 |
0.554 |
0. |
1.337 |
|
|
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Problem 203 |
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 | 257 | 273 | 433 | 342 | 620 | 587 | 0 | 532 |
normalized size | 1 | 1.06 | 1.68 | 1.33 | 2.41 | 2.28 | 0. | 2.07 |
time (sec) |
N/A |
0.3 |
2.554 |
0.06 |
1.014 |
0.517 |
0. |
1.284 |
|
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Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 273 | 188 | 354 | 393 | 0 | 301 |
normalized size | 1 | 1. | 2.18 | 1.5 | 2.83 | 3.14 | 0. | 2.41 |
time (sec) |
N/A |
0.153 |
1.304 |
0.047 |
0.995 |
0.5 |
0. |
1.205 |
|
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Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 257 | 419 | 491 | 0 | 1235 | 0 | 398 |
normalized size |
1 |
1.68 |
2.74 |
3.21 |
0. |
8.07 |
0. |
2.6 |
time (sec) |
N/A |
0.325 |
2.288 |
0.097 |
0. |
1.522 |
0. |
1.305 |
|
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Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 274 | 455 | 548 | 0 | 1891 | 0 | 444 |
normalized size |
1 |
1.7 |
2.83 |
3.4 |
0. |
11.75 |
0. |
2.76 |
time (sec) |
N/A |
0.355 |
4.051 |
0.107 |
0. |
1.573 |
0. |
1.302 |
|
|
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Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 301 | 393 | 768 | 0 | 2534 | 0 | 528 |
normalized size |
1 |
1.6 |
2.09 |
4.09 |
0. |
13.48 |
0. |
2.81 |
time (sec) |
N/A |
0.394 |
3.378 |
0.127 |
0. |
1.685 |
0. |
1.36 |
|
|
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Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 178 | 227 | 398 | 227 | 0 | 2178 | 0 | 432 |
normalized size |
1 |
1.28 |
2.24 |
1.28 |
0. |
12.24 |
0. |
2.43 |
time (sec) |
N/A |
0.223 |
3.52 |
0.128 |
0. |
0.643 |
0. |
1.46 |
|
|
|
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Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 327 | 274 | 303 | 0 | 3699 | 0 | 845 |
normalized size |
1 |
1.23 |
1.03 |
1.14 |
0. |
13.91 |
0. |
3.18 |
time (sec) |
N/A |
0.337 |
9.662 |
0.156 |
0. |
0.804 |
0. |
1.535 |
|
|
|
|
|
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Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 236 | 1243 | 596 | 805 | 693 | 0 | 487 |
normalized size | 1 | 1.29 | 6.79 | 3.26 | 4.4 | 3.79 | 0. | 2.66 |
time (sec) |
N/A |
0.335 |
6.453 |
0.079 |
1.029 |
0.517 |
0. |
1.355 |
|
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Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 171 | 275 | 371 | 524 | 512 | 0 | 311 |
normalized size | 1 | 1.46 | 2.35 | 3.17 | 4.48 | 4.38 | 0. | 2.66 |
time (sec) |
N/A |
0.254 |
2.522 |
0.069 |
1.023 |
0.5 |
0. |
1.245 |
|
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Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 125 | 237 | 196 | 301 | 370 | 0 | 193 |
normalized size | 1 | 1.84 | 3.49 | 2.88 | 4.43 | 5.44 | 0. | 2.84 |
time (sec) |
N/A |
0.146 |
1.566 |
0.051 |
0.968 |
0.481 |
0. |
1.296 |
|
|
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Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 109 | 78 | 134 | 197 | 0 | 100 |
normalized size | 1 | 1. | 2.53 | 1.81 | 3.12 | 4.58 | 0. | 2.33 |
time (sec) |
N/A |
0.085 |
0.263 |
0.043 |
0.987 |
0.477 |
0. |
1.283 |
|
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Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 134 | 160 | 74 | 0 | 783 | 0 | 154 |
normalized size |
1 |
1.61 |
1.93 |
0.89 |
0. |
9.43 |
0. |
1.86 |
time (sec) |
N/A |
0.155 |
0.664 |
0.065 |
0. |
0.506 |
0. |
1.239 |
|
|
|
|
|
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|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 196 | 286 | 146 | 0 | 1497 | 0 | 308 |
normalized size |
1 |
1.35 |
1.97 |
1.01 |
0. |
10.32 |
0. |
2.12 |
time (sec) |
N/A |
0.253 |
3.35 |
0.082 |
0. |
0.563 |
0. |
1.301 |
|
|
|
|
|
|
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|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 207 | 268 | 1422 | 221 | 0 | 2865 | 0 | 505 |
normalized size |
1 |
1.29 |
6.87 |
1.07 |
0. |
13.84 |
0. |
2.44 |
time (sec) |
N/A |
0.4 |
6.781 |
0.1 |
0. |
0.692 |
0. |
1.305 |
|
|
|
|
|
|
|
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|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 315 | 446 | 766 | 1042 | 1037 | 0 | 716 |
normalized size | 1 | 1.22 | 1.73 | 2.97 | 4.04 | 4.02 | 0. | 2.78 |
time (sec) |
N/A |
0.438 |
4.154 |
0.099 |
1.042 |
0.539 |
0. |
1.295 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 193 | 249 | 310 | 514 | 724 | 841 | 0 | 508 |
normalized size | 1 | 1.29 | 1.61 | 2.66 | 3.75 | 4.36 | 0. | 2.63 |
time (sec) |
N/A |
0.32 |
2.832 |
0.083 |
1.04 |
0.519 |
0. |
1.306 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 193 | 294 | 316 | 462 | 632 | 0 | 354 |
normalized size | 1 | 1.45 | 2.21 | 2.38 | 3.47 | 4.75 | 0. | 2.66 |
time (sec) |
N/A |
0.233 |
1.523 |
0.064 |
1.002 |
0.5 |
0. |
1.232 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 149 | 181 | 170 | 263 | 383 | 0 | 224 |
normalized size | 1 | 1.67 | 2.03 | 1.91 | 2.96 | 4.3 | 0. | 2.52 |
time (sec) |
N/A |
0.154 |
0.737 |
0.074 |
1.006 |
0.482 |
0. |
1.354 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 76 | 60 | 126 | 144 | 0 | 86 |
normalized size | 1 | 1. | 1.17 | 0.92 | 1.94 | 2.22 | 0. | 1.32 |
time (sec) |
N/A |
0.087 |
0.21 |
0.051 |
0.973 |
0.436 |
0. |
1.149 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 183 | 209 | 122 | 0 | 1307 | 0 | 348 |
normalized size |
1 |
1.42 |
1.62 |
0.95 |
0. |
10.13 |
0. |
2.7 |
time (sec) |
N/A |
0.241 |
1.629 |
0.07 |
0. |
0.531 |
0. |
1.159 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 211 | 260 | 376 | 203 | 0 | 2631 | 0 | 662 |
normalized size |
1 |
1.23 |
1.78 |
0.96 |
0. |
12.47 |
0. |
3.14 |
time (sec) |
N/A |
0.373 |
3.911 |
0.09 |
0. |
0.645 |
0. |
1.26 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 284 | 346 | 2220 | 280 | 0 | 4329 | 0 | 1048 |
normalized size |
1 |
1.22 |
7.82 |
0.99 |
0. |
15.24 |
0. |
3.69 |
time (sec) |
N/A |
0.558 |
7.295 |
0.105 |
0. |
0.783 |
0. |
1.31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 363 | 405 | 1338 | 956 | 1277 | 1470 | 0 | 950 |
normalized size | 1 | 1.12 | 3.69 | 2.63 | 3.52 | 4.05 | 0. | 2.62 |
time (sec) |
N/A |
0.539 |
6.704 |
0.119 |
1.121 |
0.629 |
0. |
1.478 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 287 | 329 | 439 | 679 | 930 | 1200 | 0 | 713 |
normalized size | 1 | 1.15 | 1.53 | 2.37 | 3.24 | 4.18 | 0. | 2.48 |
time (sec) |
N/A |
0.416 |
2.148 |
0.104 |
1.082 |
0.571 |
0. |
1.304 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 265 | 292 | 454 | 641 | 910 | 0 | 529 |
normalized size | 1 | 1.29 | 1.42 | 2.21 | 3.13 | 4.44 | 0. | 2.58 |
time (sec) |
N/A |
0.28 |
2.374 |
0.079 |
1.053 |
0.533 |
0. |
1.227 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 193 | 295 | 286 | 414 | 601 | 0 | 367 |
normalized size | 1 | 1.45 | 2.22 | 2.15 | 3.11 | 4.52 | 0. | 2.76 |
time (sec) |
N/A |
0.201 |
1.484 |
0.071 |
1.025 |
0.508 |
0. |
1.349 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 180 | 128 | 248 | 270 | 0 | 185 |
normalized size | 1 | 1. | 1.57 | 1.11 | 2.16 | 2.35 | 0. | 1.61 |
time (sec) |
N/A |
0.163 |
0.47 |
0.064 |
1.021 |
0.46 |
0. |
1.245 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 230 |
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 | 102 | 102 | 135 | 64 | 155 | 227 | 0 | 108 |
normalized size | 1 | 1. | 1.32 | 0.63 | 1.52 | 2.23 | 0. | 1.06 |
time (sec) |
N/A |
0.115 |
0.337 |
0.053 |
1.015 |
0.451 |
0. |
1.261 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 181 | 235 | 345 | 203 | 0 | 2187 | 0 | 660 |
normalized size |
1 |
1.3 |
1.91 |
1.12 |
0. |
12.08 |
0. |
3.65 |
time (sec) |
N/A |
0.323 |
3.146 |
0.084 |
0. |
0.572 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 288 | 325 | 1772 | 284 | 0 | 3638 | 0 | 1284 |
normalized size |
1 |
1.13 |
6.15 |
0.99 |
0. |
12.63 |
0. |
4.46 |
time (sec) |
N/A |
0.486 |
7.013 |
0.104 |
0. |
0.706 |
0. |
1.217 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 368 | 414 | 1096 | 365 | 0 | 5948 | 0 | 1916 |
normalized size |
1 |
1.12 |
2.98 |
0.99 |
0. |
16.16 |
0. |
5.21 |
time (sec) |
N/A |
0.706 |
7.693 |
0.116 |
0. |
0.895 |
0. |
1.538 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 102 | 302 | 0 | 738 | 0 | 0 |
normalized size |
1 |
1. |
1.67 |
4.95 |
0. |
12.1 |
0. |
0. |
time (sec) |
N/A |
0.155 |
0.227 |
0.364 |
0. |
0.966 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 187 | 504 | 0 | 2603 | 0 | 0 |
normalized size | 1 | 1. | 1.34 | 3.6 | 0. | 18.59 | 0. | 0. |
time (sec) |
N/A |
0.462 |
16.948 |
0.366 |
0. |
1.143 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 107 | 170 | 0 | 625 | 0 | 0 |
normalized size |
1 |
1. |
1.37 |
2.18 |
0. |
8.01 |
0. |
0. |
time (sec) |
N/A |
0.157 |
0.218 |
0.331 |
0. |
0.601 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 171 | 403 | 0 | 2743 | 0 | 0 |
normalized size |
1 |
1. |
1.21 |
2.86 |
0. |
19.45 |
0. |
0. |
time (sec) |
N/A |
0.529 |
0.274 |
0.345 |
0. |
1.333 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 94 | 431 | 0 | 801 | 0 | 0 |
normalized size |
1 |
1. |
1.54 |
7.07 |
0. |
13.13 |
0. |
0. |
time (sec) |
N/A |
0.136 |
0.226 |
0.255 |
0. |
1.041 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 427 | 568 | 0 | 2753 | 0 | 0 |
normalized size |
1 |
1. |
2.87 |
3.81 |
0. |
18.48 |
0. |
0. |
time (sec) |
N/A |
0.57 |
1.322 |
0.379 |
0. |
21.063 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 228531 | 518 | 0 | 2403 | 0 | 0 |
normalized size |
1 |
1. |
1873.2 |
4.25 |
0. |
19.7 |
0. |
0. |
time (sec) |
N/A |
0.301 |
33.619 |
0.238 |
0. |
1.21 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 141 | 518 | 0 | 2543 | 0 | 0 |
normalized size |
1 |
1. |
1.14 |
4.18 |
0. |
20.51 |
0. |
0. |
time (sec) |
N/A |
0.368 |
0.411 |
0.249 |
0. |
1.51 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 167 | 167 | 198 | 473 | 0 | 2654 | 0 | 0 |
normalized size |
1 |
1. |
1.19 |
2.83 |
0. |
15.89 |
0. |
0. |
time (sec) |
N/A |
0.583 |
0.394 |
0.338 |
0. |
2.566 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
F(-1) |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 231 | 231 | 155 | 726 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.67 |
3.14 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.816 |
0.391 |
0.346 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 250 | 250 | 201 | 431 | 512 | 687 | 0 | 1207 |
normalized size | 1 | 1. | 0.8 | 1.72 | 2.05 | 2.75 | 0. | 4.83 |
time (sec) |
N/A |
0.501 |
4.429 |
0.048 |
1.156 |
0.616 |
0. |
1.452 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 180 | 180 | 143 | 290 | 359 | 510 | 0 | 833 |
normalized size | 1 | 1. | 0.79 | 1.61 | 1.99 | 2.83 | 0. | 4.63 |
time (sec) |
N/A |
0.356 |
1.085 |
0.04 |
1.168 |
0.578 |
0. |
1.257 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 88 | 174 | 223 | 371 | 0 | 419 |
normalized size | 1 | 1. | 0.77 | 1.51 | 1.94 | 3.23 | 0. | 3.64 |
time (sec) |
N/A |
0.185 |
0.594 |
0.035 |
1.026 |
0.56 |
0. |
1.342 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 75 | 86 | 119 | 247 | 0 | 219 |
normalized size | 1 | 1. | 1.23 | 1.41 | 1.95 | 4.05 | 0. | 3.59 |
time (sec) |
N/A |
0.075 |
0.027 |
0.026 |
1.015 |
0.535 |
0. |
1.345 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 248 |
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 | 76 | 76 | 112 | 135 | 0 | 707 | 0 | 178 |
normalized size |
1 |
1. |
1.47 |
1.78 |
0. |
9.3 |
0. |
2.34 |
time (sec) |
N/A |
0.129 |
0.208 |
0.058 |
0. |
1.959 |
0. |
1.291 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 249 |
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 | 99 | 99 | 97 | 132 | 0 | 861 | 0 | 242 |
normalized size |
1 |
1. |
0.98 |
1.33 |
0. |
8.7 |
0. |
2.44 |
time (sec) |
N/A |
0.144 |
0.36 |
0.067 |
0. |
0.53 |
0. |
1.235 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 250 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 172 | 236 | 0 | 1631 | 0 | 564 |
normalized size |
1 |
1. |
1.04 |
1.42 |
0. |
9.83 |
0. |
3.4 |
time (sec) |
N/A |
0.301 |
0.823 |
0.079 |
0. |
0.629 |
0. |
1.481 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 251 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 237 | 237 | 405 | 376 | 0 | 2707 | 0 | 980 |
normalized size |
1 |
1. |
1.71 |
1.59 |
0. |
11.42 |
0. |
4.14 |
time (sec) |
N/A |
0.512 |
1.036 |
0.092 |
0. |
0.751 |
0. |
1.431 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
F(-1) |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 247 | 247 | 580 | 1066 | 0 | 0 | 0 | 848 |
normalized size |
1 |
1. |
2.35 |
4.32 |
0. |
0. |
0. |
3.43 |
time (sec) |
N/A |
0.445 |
4.346 |
0.098 |
0. |
0. |
0. |
1.461 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 253 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 170 | 170 | 389 | 593 | 0 | 1621 | 0 | 474 |
normalized size |
1 |
1. |
2.29 |
3.49 |
0. |
9.54 |
0. |
2.79 |
time (sec) |
N/A |
0.35 |
1.406 |
0.081 |
0. |
85.835 |
0. |
1.342 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 135 | 288 | 0 | 1139 | 0 | 273 |
normalized size |
1 |
1. |
1.31 |
2.8 |
0. |
11.06 |
0. |
2.65 |
time (sec) |
N/A |
0.297 |
0.804 |
0.065 |
0. |
12.732 |
0. |
1.415 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 255 |
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 | 76 | 76 | 112 | 135 | 0 | 694 | 0 | 178 |
normalized size |
1 |
1. |
1.47 |
1.78 |
0. |
9.13 |
0. |
2.34 |
time (sec) |
N/A |
0.127 |
0.184 |
0.063 |
0. |
1.532 |
0. |
1.284 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 119 | 108 | 0 | 2214 | 0 | 710 |
normalized size |
1 |
1. |
0.98 |
0.89 |
0. |
18.3 |
0. |
5.87 |
time (sec) |
N/A |
0.275 |
0.232 |
0.083 |
0. |
6.496 |
0. |
1.342 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 257 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 187 | 187 | 229 | 208 | 0 | 0 | 0 | 459 |
normalized size |
1 |
1. |
1.22 |
1.11 |
0. |
0. |
0. |
2.45 |
time (sec) |
N/A |
0.612 |
0.714 |
0.1 |
0. |
0. |
0. |
1.47 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 258 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
F(-1) |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 379 | 379 | 1137 | 1870 | 0 | 0 | 0 | 1197 |
normalized size |
1 |
1. |
3. |
4.93 |
0. |
0. |
0. |
3.16 |
time (sec) |
N/A |
0.668 |
6.545 |
0.145 |
0. |
0. |
0. |
1.442 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 259 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 297 | 297 | 511 | 1249 | 0 | 0 | 0 | 770 |
normalized size |
1 |
1. |
1.72 |
4.21 |
0. |
0. |
0. |
2.59 |
time (sec) |
N/A |
0.527 |
3.469 |
0.118 |
0. |
0. |
0. |
1.33 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
Problem 260 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 228 | 228 | 362 | 790 | 0 | 2800 | 0 | 757 |
normalized size |
1 |
1. |
1.59 |
3.46 |
0. |
12.28 |
0. |
3.32 |
time (sec) |
N/A |
0.467 |
1.579 |
0.092 |
0. |
154.86 |
0. |
1.437 |
|
|
|
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|
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|
Problem 261 |
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 | 198 | 198 | 180 | 486 | 0 | 1719 | 0 | 374 |
normalized size |
1 |
1. |
0.91 |
2.45 |
0. |
8.68 |
0. |
1.89 |
time (sec) |
N/A |
0.367 |
0.669 |
0.088 |
0. |
21.652 |
0. |
1.441 |
|
|
|
|
|
|
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|
Problem 262 |
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 | 100 | 100 | 97 | 132 | 0 | 861 | 0 | 243 |
normalized size |
1 |
1. |
0.97 |
1.32 |
0. |
8.61 |
0. |
2.43 |
time (sec) |
N/A |
0.136 |
0.362 |
0.068 |
0. |
0.527 |
0. |
1.297 |
|
|
|
|
|
|
|
|
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|
|
Problem 263 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 186 | 186 | 176 | 210 | 0 | 0 | 0 | 458 |
normalized size |
1 |
1. |
0.95 |
1.13 |
0. |
0. |
0. |
2.46 |
time (sec) |
N/A |
0.605 |
1.016 |
0.105 |
0. |
0. |
0. |
1.321 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 264 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 213 | 213 | 185 | 355 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
1.67 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.293 |
3.653 |
0.33 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 265 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 44216 | 351 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
225.59 |
1.79 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.193 |
32.473 |
0.404 |
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 | 192 | 192 | 233 | 219 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.21 | 1.14 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.168 |
3.486 |
0.389 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 267 |
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 | 110 | 110 | 176 | 177 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.6 | 1.61 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.124 |
1.751 |
0.339 |
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 | 125 | 125 | 176 | 170 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.41 | 1.36 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.12 |
0.445 |
0.309 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 269 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 396 | 396 | 39039 | 291 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
98.58 |
0.73 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.611 |
32.378 |
0.411 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 270 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 170 | 170 | 223 | 465 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.31 |
2.74 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.849 |
4.028 |
0.393 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 271 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 83 | 236 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
2.84 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.433 |
0.243 |
0.355 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 272 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 168 | 168 | 222 | 479 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.32 |
2.85 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
1.07 |
3.942 |
0.397 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 273 |
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 | 95 | 95 | 264 | 153 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.78 | 1.61 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.119 |
6.329 |
0.306 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 274 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 295 | 295 | 0 | 292 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0.99 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.922 |
18.917 |
0.355 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 275 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 2173 | 225 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 10.4 | 1.08 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.288 |
17.722 |
0.293 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 276 |
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 | 156 | 224 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 1.05 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.36 |
5.112 |
0.312 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 277 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 229 | 229 | 1019 | 222 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 4.45 | 0.97 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.44 |
8.382 |
0.332 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 278 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
C |
F(-1) |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 312 | 312 | 0 | 355 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
1.14 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.889 |
14.601 |
0.336 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 279 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 213 | 213 | 185 | 355 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
1.67 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.277 |
0.391 |
0.343 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 280 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 170 | 170 | 223 | 465 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.31 |
2.74 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.843 |
3.828 |
0.391 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 281 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 189 | 236 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.85 |
2.31 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.122 |
4.318 |
0.342 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 282 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 167 | 236 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
1.13 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.361 |
3.009 |
0.339 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 283 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 83 | 236 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
2.84 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.424 |
0.24 |
0.352 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 284 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-1) |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 246 | 344 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.48 |
2.07 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.856 |
4.047 |
0.354 |
0. |
0. |
0. |
0. |
|
|
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|
Problem 285 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 151 | 49 | 92 | 309 | 0 | 68 |
normalized size | 1 | 1. | 2.25 | 0.73 | 1.37 | 4.61 | 0. | 1.01 |
time (sec) |
N/A |
0.298 |
0.915 |
0.12 |
1.028 |
0.665 |
0. |
2.18 |
|
|
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|
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|
|
|
|
|
Problem 286 |
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 | 89 | 89 | 175 | 62 | 119 | 377 | 0 | 86 |
normalized size | 1 | 1. | 1.97 | 0.7 | 1.34 | 4.24 | 0. | 0.97 |
time (sec) |
N/A |
0.336 |
1.072 |
0.135 |
0.986 |
0.523 |
0. |
2.266 |
|
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|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [258] had the largest ratio of [ 0.3226
]
|
|
|
|
|
|
|
| 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 |
12 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
2 |
A |
9 |
6 |
1. |
30 |
0.2 |
|
|
|
|
|
|
|
3 |
A |
6 |
5 |
1. |
30 |
0.167 |
|
|
|
|
|
|
|
4 |
A |
3 |
3 |
1. |
28 |
0.107 |
|
|
|
|
|
|
|
5 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
6 |
A |
1 |
1 |
1. |
30 |
0.033 |
|
|
|
|
|
|
|
7 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
8 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
9 |
A |
4 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
10 |
A |
14 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
11 |
A |
11 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
12 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
13 |
A |
4 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
14 |
A |
6 |
5 |
1. |
30 |
0.167 |
|
|
|
|
|
|
|
15 |
A |
5 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
16 |
A |
3 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
17 |
A |
1 |
1 |
1. |
32 |
0.031 |
|
|
|
|
|
|
|
18 |
A |
2 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
19 |
A |
3 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
20 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
|
21 |
A |
16 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
22 |
A |
13 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
23 |
A |
8 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
24 |
A |
5 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
25 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
26 |
A |
9 |
6 |
1. |
30 |
0.2 |
|
|
|
|
|
|
|
27 |
A |
6 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
28 |
A |
6 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
29 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
30 |
A |
1 |
1 |
1. |
32 |
0.031 |
|
|
|
|
|
|
|
31 |
A |
2 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
32 |
A |
3 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
33 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
34 |
A |
10 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
35 |
A |
6 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
36 |
A |
5 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
37 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
38 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
39 |
A |
6 |
4 |
1. |
32 |
0.125 |
|
|
|
|
|
|
|
40 |
A |
10 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
|
41 |
A |
13 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
42 |
A |
11 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
43 |
A |
7 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
44 |
A |
6 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
45 |
A |
3 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
46 |
A |
1 |
1 |
1. |
30 |
0.033 |
|
|
|
|
|
|
|
47 |
A |
6 |
4 |
1. |
32 |
0.125 |
|
|
|
|
|
|
|
48 |
A |
3 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
49 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
50 |
A |
10 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
51 |
A |
13 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
52 |
A |
12 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
53 |
A |
8 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
54 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
55 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
56 |
A |
1 |
1 |
1. |
32 |
0.031 |
|
|
|
|
|
|
|
57 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
58 |
A |
10 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
59 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
60 |
A |
4 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
|
61 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
62 |
A |
10 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
63 |
A |
13 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
64 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
65 |
A |
3 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
66 |
A |
2 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
67 |
A |
1 |
1 |
1. |
32 |
0.031 |
|
|
|
|
|
|
|
68 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
69 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
70 |
A |
4 |
4 |
1. |
32 |
0.125 |
|
|
|
|
|
|
|
71 |
A |
4 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
72 |
A |
3 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
73 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
74 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
75 |
A |
4 |
3 |
1.05 |
34 |
0.088 |
|
|
|
|
|
|
|
76 |
A |
4 |
4 |
1.1 |
34 |
0.118 |
|
|
|
|
|
|
|
77 |
A |
4 |
3 |
1.11 |
34 |
0.088 |
|
|
|
|
|
|
|
78 |
A |
5 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
79 |
A |
4 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
80 |
A |
3 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
|
81 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
82 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
83 |
A |
5 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
84 |
A |
5 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
85 |
A |
5 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
86 |
A |
4 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
87 |
A |
3 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
88 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
89 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
90 |
A |
3 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
91 |
A |
4 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
92 |
A |
5 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
93 |
A |
4 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
94 |
A |
3 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
95 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
96 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
97 |
A |
4 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
98 |
A |
5 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
99 |
A |
6 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
100 |
A |
4 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
|
101 |
A |
3 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
102 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
103 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
104 |
A |
5 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
105 |
A |
6 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
106 |
A |
7 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
107 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
108 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
109 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
110 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
111 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
112 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
113 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
114 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
115 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
116 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
117 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
118 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
119 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
120 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
|
121 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
122 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
123 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
124 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
125 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
126 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
127 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
128 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
129 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
130 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
131 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
132 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
133 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
134 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
135 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
136 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
137 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
138 |
A |
4 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
139 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
140 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
|
141 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
142 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
143 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
144 |
A |
4 |
4 |
1. |
36 |
0.111 |
|
|
|
|
|
|
|
145 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
146 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
147 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
148 |
A |
4 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
149 |
A |
4 |
4 |
1. |
36 |
0.111 |
|
|
|
|
|
|
|
150 |
A |
4 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
151 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
152 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
153 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
154 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
155 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
156 |
A |
3 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
157 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
158 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
159 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
160 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
|
161 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
162 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
163 |
A |
2 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
164 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
165 |
A |
3 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
166 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
167 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
168 |
A |
10 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
169 |
A |
7 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
170 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
171 |
A |
5 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
172 |
A |
4 |
4 |
1. |
32 |
0.125 |
|
|
|
|
|
|
|
173 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
174 |
A |
5 |
3 |
1. |
34 |
0.088 |
|
|
|
|
|
|
|
175 |
A |
2 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
176 |
A |
6 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
177 |
A |
7 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
178 |
A |
5 |
5 |
1.38 |
40 |
0.125 |
|
|
|
|
|
|
|
179 |
A |
4 |
4 |
1.43 |
36 |
0.111 |
|
|
|
|
|
|
|
180 |
A |
8 |
8 |
1.52 |
38 |
0.21 |
|
|
|
|
|
|
|
|
181 |
A |
4 |
4 |
1.29 |
40 |
0.1 |
|
|
|
|
|
|
|
182 |
A |
8 |
8 |
1.35 |
40 |
0.2 |
|
|
|
|
|
|
|
183 |
A |
3 |
3 |
1. |
38 |
0.079 |
|
|
|
|
|
|
|
184 |
A |
2 |
2 |
1. |
34 |
0.059 |
|
|
|
|
|
|
|
185 |
A |
8 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
186 |
A |
7 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
187 |
A |
6 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
188 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
189 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
190 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
191 |
A |
6 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
192 |
A |
7 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
193 |
A |
9 |
8 |
1.13 |
31 |
0.258 |
|
|
|
|
|
|
|
194 |
A |
8 |
7 |
1.14 |
31 |
0.226 |
|
|
|
|
|
|
|
195 |
A |
8 |
7 |
1.33 |
31 |
0.226 |
|
|
|
|
|
|
|
196 |
A |
6 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
197 |
B |
8 |
8 |
2.19 |
31 |
0.258 |
|
|
|
|
|
|
|
198 |
A |
8 |
8 |
1.97 |
31 |
0.258 |
|
|
|
|
|
|
|
199 |
A |
5 |
4 |
1.42 |
31 |
0.129 |
|
|
|
|
|
|
|
200 |
A |
6 |
5 |
1.26 |
31 |
0.161 |
|
|
|
|
|
|
|
|
201 |
A |
8 |
6 |
1.2 |
31 |
0.194 |
|
|
|
|
|
|
|
202 |
A |
9 |
7 |
1.16 |
31 |
0.226 |
|
|
|
|
|
|
|
203 |
A |
9 |
7 |
1.06 |
31 |
0.226 |
|
|
|
|
|
|
|
204 |
A |
10 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
205 |
A |
9 |
9 |
1.68 |
31 |
0.29 |
|
|
|
|
|
|
|
206 |
A |
9 |
9 |
1.7 |
31 |
0.29 |
|
|
|
|
|
|
|
207 |
A |
9 |
9 |
1.6 |
31 |
0.29 |
|
|
|
|
|
|
|
208 |
A |
6 |
4 |
1.28 |
31 |
0.129 |
|
|
|
|
|
|
|
209 |
A |
7 |
5 |
1.23 |
31 |
0.161 |
|
|
|
|
|
|
|
210 |
A |
7 |
7 |
1.29 |
31 |
0.226 |
|
|
|
|
|
|
|
211 |
A |
6 |
6 |
1.46 |
31 |
0.194 |
|
|
|
|
|
|
|
212 |
A |
6 |
6 |
1.84 |
31 |
0.194 |
|
|
|
|
|
|
|
213 |
A |
3 |
3 |
1. |
29 |
0.103 |
|
|
|
|
|
|
|
214 |
A |
4 |
4 |
1.61 |
31 |
0.129 |
|
|
|
|
|
|
|
215 |
A |
6 |
6 |
1.35 |
31 |
0.194 |
|
|
|
|
|
|
|
216 |
A |
7 |
7 |
1.29 |
31 |
0.226 |
|
|
|
|
|
|
|
217 |
A |
8 |
8 |
1.22 |
31 |
0.258 |
|
|
|
|
|
|
|
218 |
A |
7 |
7 |
1.29 |
31 |
0.226 |
|
|
|
|
|
|
|
219 |
A |
6 |
6 |
1.45 |
31 |
0.194 |
|
|
|
|
|
|
|
220 |
A |
6 |
6 |
1.67 |
31 |
0.194 |
|
|
|
|
|
|
|
|
221 |
A |
2 |
2 |
1. |
29 |
0.069 |
|
|
|
|
|
|
|
222 |
A |
6 |
6 |
1.42 |
31 |
0.194 |
|
|
|
|
|
|
|
223 |
A |
7 |
6 |
1.23 |
31 |
0.194 |
|
|
|
|
|
|
|
224 |
A |
8 |
7 |
1.22 |
31 |
0.226 |
|
|
|
|
|
|
|
225 |
A |
9 |
8 |
1.12 |
31 |
0.258 |
|
|
|
|
|
|
|
226 |
A |
8 |
7 |
1.15 |
31 |
0.226 |
|
|
|
|
|
|
|
227 |
A |
7 |
7 |
1.29 |
31 |
0.226 |
|
|
|
|
|
|
|
228 |
A |
6 |
6 |
1.45 |
31 |
0.194 |
|
|
|
|
|
|
|
229 |
A |
4 |
4 |
1. |
31 |
0.129 |
|
|
|
|
|
|
|
230 |
A |
3 |
3 |
1. |
29 |
0.103 |
|
|
|
|
|
|
|
231 |
A |
7 |
6 |
1.3 |
31 |
0.194 |
|
|
|
|
|
|
|
232 |
A |
8 |
6 |
1.13 |
31 |
0.194 |
|
|
|
|
|
|
|
233 |
A |
9 |
7 |
1.12 |
31 |
0.226 |
|
|
|
|
|
|
|
234 |
A |
2 |
2 |
1. |
35 |
0.057 |
|
|
|
|
|
|
|
235 |
A |
5 |
5 |
1. |
35 |
0.143 |
|
|
|
|
|
|
|
236 |
A |
2 |
2 |
1. |
35 |
0.057 |
|
|
|
|
|
|
|
237 |
A |
5 |
5 |
1. |
37 |
0.135 |
|
|
|
|
|
|
|
238 |
A |
2 |
2 |
1. |
33 |
0.061 |
|
|
|
|
|
|
|
239 |
A |
5 |
4 |
1. |
39 |
0.103 |
|
|
|
|
|
|
|
240 |
A |
5 |
5 |
1. |
33 |
0.152 |
|
|
|
|
|
|
|
|
241 |
A |
5 |
5 |
1. |
35 |
0.143 |
|
|
|
|
|
|
|
242 |
A |
5 |
4 |
1. |
39 |
0.103 |
|
|
|
|
|
|
|
243 |
A |
8 |
6 |
1. |
39 |
0.154 |
|
|
|
|
|
|
|
244 |
A |
8 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
245 |
A |
7 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
246 |
A |
6 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
247 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
248 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
249 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
250 |
A |
6 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
251 |
A |
7 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
252 |
A |
12 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
253 |
A |
10 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
254 |
A |
8 |
7 |
1. |
31 |
0.226 |
|
|
|
|
|
|
|
255 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
256 |
A |
6 |
4 |
1. |
31 |
0.129 |
|
|
|
|
|
|
|
257 |
A |
7 |
5 |
1. |
31 |
0.161 |
|
|
|
|
|
|
|
258 |
A |
16 |
10 |
1. |
31 |
0.323 |
|
|
|
|
|
|
|
259 |
A |
14 |
10 |
1. |
31 |
0.323 |
|
|
|
|
|
|
|
260 |
A |
12 |
9 |
1. |
31 |
0.29 |
|
|
|
|
|
|
|
|
261 |
A |
10 |
7 |
1. |
31 |
0.226 |
|
|
|
|
|
|
|
262 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
263 |
A |
7 |
5 |
1. |
31 |
0.161 |
|
|
|
|
|
|
|
264 |
A |
3 |
3 |
1. |
33 |
0.091 |
|
|
|
|
|
|
|
265 |
A |
1 |
1 |
1. |
35 |
0.029 |
|
|
|
|
|
|
|
266 |
A |
1 |
1 |
1. |
35 |
0.029 |
|
|
|
|
|
|
|
267 |
A |
1 |
1 |
1. |
35 |
0.029 |
|
|
|
|
|
|
|
268 |
A |
1 |
1 |
1. |
35 |
0.029 |
|
|
|
|
|
|
|
269 |
A |
3 |
3 |
1. |
37 |
0.081 |
|
|
|
|
|
|
|
270 |
A |
7 |
5 |
1. |
39 |
0.128 |
|
|
|
|
|
|
|
271 |
A |
3 |
3 |
1. |
39 |
0.077 |
|
|
|
|
|
|
|
272 |
A |
8 |
6 |
1. |
39 |
0.154 |
|
|
|
|
|
|
|
273 |
A |
1 |
1 |
1. |
33 |
0.03 |
|
|
|
|
|
|
|
274 |
A |
11 |
11 |
1. |
39 |
0.282 |
|
|
|
|
|
|
|
275 |
A |
3 |
3 |
1. |
33 |
0.091 |
|
|
|
|
|
|
|
276 |
A |
3 |
3 |
1. |
35 |
0.086 |
|
|
|
|
|
|
|
277 |
A |
7 |
7 |
1. |
39 |
0.18 |
|
|
|
|
|
|
|
278 |
A |
11 |
11 |
1. |
39 |
0.282 |
|
|
|
|
|
|
|
279 |
A |
3 |
3 |
1. |
33 |
0.091 |
|
|
|
|
|
|
|
280 |
A |
7 |
5 |
1. |
39 |
0.128 |
|
|
|
|
|
|
|
|
281 |
A |
1 |
1 |
1. |
33 |
0.03 |
|
|
|
|
|
|
|
282 |
A |
3 |
3 |
1. |
35 |
0.086 |
|
|
|
|
|
|
|
283 |
A |
3 |
3 |
1. |
39 |
0.077 |
|
|
|
|
|
|
|
284 |
A |
7 |
5 |
1. |
39 |
0.128 |
|
|
|
|
|
|
|
285 |
A |
4 |
2 |
1. |
28 |
0.071 |
|
|
|
|
|
|
|
286 |
A |
4 |
2 |
1. |
28 |
0.071 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|