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, 150, 157, 176, 183,
186, 187, 188, 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
}
B grade: { }
C grade: { }
F grade: { 146, 147, 148, 149, 151, 152, 153, 154, 155, 156, 158, 159, 160, 161, 162, 163, 164, 165, 166,
167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 189, 190, 191, 192,
193}
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 14, 15, 16, 17, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37,
38, 39, 40, 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, 148, 150, 152, 153, 154, 155, 156, 157,
158, 159, 160, 162, 164, 165, 166, 176, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189,
191, 193, 194, 195, 196, 197, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 213, 215,
216, 226, 228, 229, 232, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 244, 245, 246, 247
}
B grade: { 41, 42, 146, 161, 163, 169, 170, 171, 172, 173, 174, 175, 177, 178, 190, 192, 230, 231
}
C grade: { 8, 10, 12, 18, 19, 20, 21, 36, 145, 147, 149, 151, 167, 168, 198, 199, 211, 212, 214, 217, 218,
219, 220, 221, 222, 223, 224, 225, 227, 238 }
F grade: { }
2.1.3 Maple
A grade: { 1, 2, 4, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66, 67, 68, 73, 81,
82, 83, 84, 85, 86, 88, 90, 95, 96, 105, 106, 112, 113, 114, 115, 116, 117, 118, 119, 120, 125, 126, 127, 128,
129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 146, 153, 186, 187, 188, 194, 195,
196, 197, 198, 199, 200, 201, 202, 206, 207, 208, 209, 210, 211, 212, 213, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247 }
B grade: { 3, 5, 6, 7, 8, 10, 45, 57, 58, 59, 60, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 87, 89, 91, 92, 93, 94,
97, 98, 99, 100, 101, 102, 103, 104, 107, 108, 109, 110, 111, 121, 122, 123, 124, 144, 145, 150, 157, 176,
183, 237 }
C grade: { 147, 148, 149, 151, 152, 154, 155, 156, 158, 159, 205, 214, 215, 216, 217, 218, 219, 220, 221,
222, 223, 224, 225, 226, 227, 234, 235, 236 }
F grade: { 22, 23, 40, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 177,
178, 179, 180, 181, 182, 184, 185, 189, 190, 191, 192, 193, 203, 204, 228, 229, 230, 231, 232, 233
}
2.1.4 Maxima
A grade: { 5, 6, 7, 8, 24, 25, 37, 38, 39, 44, 45, 46, 47, 48, 49, 50, 56, 59, 60, 61, 62, 65, 66, 69, 70,
71, 72, 73, 74, 80, 82, 90, 91, 92, 93, 94, 95, 96, 105, 106, 107, 108, 115, 116, 117, 118, 119,
120, 121, 122, 123, 124, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 176, 183, 206, 207, 208, 209, 210, 211,
212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 224, 225, 234, 235, 236, 237, 238, 239, 243,
247
B grade: { 1, 2, 3, 4, 9, 10, 11, 12, 26, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 63, 64, 75, 76, 77, 78, 79, 85, 87,
89, 97, 98, 99, 100, 101, 102, 103, 104, 186, 187, 188 }
C grade: { 27, 28, 29, 30, 31, 32 }
F grade: { 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 33, 34, 35, 36, 40, 67, 68, 81, 83, 84, 86, 88, 109, 110,
111, 112, 113, 114, 125, 126, 127, 128, 129, 130, 131, 132, 144, 145, 160, 161, 162, 163, 164, 165, 166, 167,
168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 189, 190, 191, 192, 193, 194,
195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 222, 223, 226, 227, 228, 229, 230, 231, 232, 233, 240,
241, 242, 244, 245, 246 }
2.1.5 FriCAS
A grade: { 61, 65, 66, 71, 72, 84, 90, 93, 94, 95, 106, 112, 136, 137, 138, 139, 146, 147, 148,
149, 150, 152, 153, 154, 155, 159, 209, 215, 218, 219, 220, 224, 236, 237, 241, 243, 245, 247
}
B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 26, 33, 34, 35, 36, 37,
38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 67, 68, 69, 70,
73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 91, 92, 96, 97, 98, 99, 100, 101, 102, 103, 104,
105, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128,
129, 130, 131, 132, 133, 134, 135, 140, 141, 142, 143, 144, 151, 156, 157, 158, 176, 183, 186,
187, 188, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 211,
212, 213, 214, 216, 217, 221, 222, 223, 225, 226, 227, 234, 235, 238, 239, 240, 242, 244, 246
}
C grade: { 27, 28, 29, 30, 31, 32, 145 }
F grade: { 22, 23, 40, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175,
177, 178, 179, 180, 181, 182, 184, 185, 189, 190, 191, 192, 193, 228, 229, 230, 231, 232, 233
}
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 21, 41, 42, 43, 44, 45, 46, 47, 48, 49, 57, 58, 59, 60, 61, 62, 65,
66, 95, 106, 125, 126, 127, 128, 129, 130, 131, 132, 134, 135, 136, 137, 138, 150, 157, 176, 186, 187, 196,
197, 247 }
B grade: { 70, 72, 92, 94, 115, 116, 117, 118, 119, 120, 183 }
C grade: { }
F grade: { 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
40, 50, 51, 52, 53, 54, 55, 56, 63, 64, 67, 68, 69, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 93, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 107, 108, 109, 110, 111, 112, 113, 114, 121,
122, 123, 124, 133, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 153, 154, 155, 156, 158,
159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181,
182, 184, 185, 188, 189, 190, 191, 192, 193, 194, 195, 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
}
2.1.7 Giac
A grade: { 1, 2, 3, 10, 12, 24, 33, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 52, 53, 54, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 88, 90, 91, 92, 93,
94, 95, 98, 99, 100, 101, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120,
121, 122, 123, 124, 131, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 146, 147, 148, 149,
150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 183, 187, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 220, 221, 222, 223, 224, 225, 234, 235, 236, 237, 238, 239, 243, 247
}
B grade: { 4, 5, 6, 7, 8, 9, 11, 18, 21, 25, 26, 34, 35, 50, 51, 55, 56, 75, 85, 87, 89, 96, 97, 102, 103, 104,
105, 109, 125, 126, 127, 128, 129, 130, 132, 143, 176, 186, 188, 226, 227 }
C grade: { 27, 28, 29, 30, 31, 32 }
F grade: { 13, 14, 15, 16, 17, 19, 20, 22, 23, 36, 40, 67, 68, 144, 145, 160, 161, 162, 163, 164, 165, 166,
167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 189, 190, 191, 192, 193,
194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 218, 219, 228, 229, 230, 231, 232, 233, 240, 241,
242, 244, 245, 246 }
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 53 | 67 | 155 | 717 | 39 | 100 |
normalized size | 1 | 1. | 1.23 | 1.56 | 3.6 | 16.67 | 0.91 | 2.33 |
time (sec) |
N/A |
0.024 |
0.019 |
0.005 |
1.043 |
2.366 |
0.653 |
1.199 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 37 | 56 | 138 | 2642 | 42 | 99 |
normalized size | 1 | 1. | 0.88 | 1.33 | 3.29 | 62.9 | 1. | 2.36 |
time (sec) |
N/A |
0.033 |
0.086 |
0.004 |
1.547 |
2.38 |
0.471 |
1.182 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 38 | 54 | 96 | 327 | 27 | 70 |
normalized size | 1 | 1. | 1.36 | 1.93 | 3.43 | 11.68 | 0.96 | 2.5 |
time (sec) |
N/A |
0.016 |
0.009 |
0.003 |
1.055 |
2.083 |
0.342 |
1.192 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 43 | 82 | 930 | 31 | 73 |
normalized size | 1 | 1. | 1. | 1.59 | 3.04 | 34.44 | 1.15 | 2.7 |
time (sec) |
N/A |
0.017 |
0.012 |
0.003 |
1.525 |
2.262 |
0.243 |
1.191 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 23 | 41 | 34 | 82 | 15 | 38 |
normalized size | 1 | 1. | 1.77 | 3.15 | 2.62 | 6.31 | 1.15 | 2.92 |
time (sec) |
N/A |
0.009 |
0.007 |
0.003 |
1.036 |
2.328 |
0.18 |
1.179 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 30 | 15 | 88 | 17 | 36 |
normalized size | 1 | 1. | 1. | 2.73 | 1.36 | 8. | 1.55 | 3.27 |
time (sec) |
N/A |
0.006 |
0.005 |
0.003 |
1.018 |
2.19 |
0.151 |
1.222 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 19 | 30 | 15 | 88 | 27 | 38 |
normalized size | 1 | 1. | 1.73 | 2.73 | 1.36 | 8. | 2.45 | 3.45 |
time (sec) |
N/A |
0.006 |
0.009 |
0.002 |
1.026 |
2.447 |
0.441 |
1.183 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
C |
B |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 27 | 41 | 34 | 82 | 36 | 38 |
normalized size | 1 | 1. | 2.08 | 3.15 | 2.62 | 6.31 | 2.77 | 2.92 |
time (sec) |
N/A |
0.008 |
0.009 |
0. |
1.044 |
2.277 |
1.599 |
1.238 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 34 | 43 | 107 | 930 | 61 | 74 |
normalized size | 1 | 1. | 1.26 | 1.59 | 3.96 | 34.44 | 2.26 | 2.74 |
time (sec) |
N/A |
0.018 |
0.069 |
0.002 |
1.029 |
2.385 |
4.262 |
1.221 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
C |
B |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 31 | 54 | 96 | 286 | 49 | 70 |
normalized size | 1 | 1. | 1.11 | 1.93 | 3.43 | 10.21 | 1.75 | 2.5 |
time (sec) |
N/A |
0.016 |
0.01 |
0.002 |
1.043 |
2.111 |
9.256 |
1.218 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 44 | 56 | 165 | 2642 | 75 | 103 |
normalized size | 1 | 1. | 1.05 | 1.33 | 3.93 | 62.9 | 1.79 | 2.45 |
time (sec) |
N/A |
0.033 |
0.159 |
0. |
1.041 |
2.391 |
19.782 |
1.208 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
C |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 31 | 67 | 155 | 666 | 63 | 100 |
normalized size | 1 | 1. | 0.72 | 1.56 | 3.6 | 15.49 | 1.47 | 2.33 |
time (sec) |
N/A |
0.024 |
0.009 |
0.002 |
1.038 |
2.288 |
44.837 |
1.168 |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 83 | 80 | 0 | 4136 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 0.82 | 0. | 42.64 | 0. | 0. |
time (sec) |
N/A |
0.07 |
0.232 |
0.032 |
0. |
2.673 |
0. |
0. |
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|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 68 | 63 | 0 | 2653 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 0.81 | 0. | 34.01 | 0. | 0. |
time (sec) |
N/A |
0.049 |
0.205 |
0.018 |
0. |
2.553 |
0. |
0. |
|
|
|
|
|
|
|
|
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|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 61 | 62 | 0 | 1755 | 0 | 0 |
normalized size | 1 | 1. | 0.81 | 0.83 | 0. | 23.4 | 0. | 0. |
time (sec) |
N/A |
0.051 |
0.085 |
0.017 |
0. |
2.582 |
0. |
0. |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 51 | 47 | 0 | 1635 | 0 | 0 |
normalized size | 1 | 1. | 0.88 | 0.81 | 0. | 28.19 | 0. | 0. |
time (sec) |
N/A |
0.032 |
0.038 |
0.025 |
0. |
2.822 |
0. |
0. |
|
|
|
|
|
|
|
|
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|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 49 | 46 | 0 | 1647 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 0.81 | 0. | 28.89 | 0. | 0. |
time (sec) |
N/A |
0.032 |
0.034 |
0.033 |
0. |
2.685 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 36 | 65 | 0 | 2574 | 0 | 207 |
normalized size | 1 | 1. | 0.46 | 0.83 | 0. | 33. | 0. | 2.65 |
time (sec) |
N/A |
0.048 |
0.074 |
0.019 |
0. |
2.709 |
0. |
1.288 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 38 | 64 | 0 | 3934 | 0 | 0 |
normalized size |
1 |
1. |
0.48 |
0.81 |
0. |
49.8 |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.077 |
0.02 |
0. |
2.555 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 38 | 83 | 0 | 5796 | 0 | 0 |
normalized size |
1 |
1. |
0.38 |
0.83 |
0. |
57.96 |
0. |
0. |
time (sec) |
N/A |
0.067 |
0.11 |
0.02 |
0. |
2.693 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 26 | 102 | 0 | 563 | 63 | 258 |
normalized size | 1 | 1. | 0.38 | 1.48 | 0. | 8.16 | 0.91 | 3.74 |
time (sec) |
N/A |
0.06 |
0.026 |
0.023 |
0. |
2.217 |
2.941 |
1.243 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
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 | 43 | 43 | 45 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.05 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.022 |
0.045 |
0.174 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
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 | 48 | 48 | 51 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.06 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.026 |
0.042 |
0.176 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 28 | 30 | 57 | 1368 | 0 | 70 |
normalized size | 1 | 1. | 0.8 | 0.86 | 1.63 | 39.09 | 0. | 2. |
time (sec) |
N/A |
0.021 |
0.023 |
0.025 |
1.574 |
2.426 |
0. |
1.209 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
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 | 16 | 16 | 16 | 26 | 26 | 196 | 0 | 42 |
normalized size | 1 | 1. | 1. | 1.62 | 1.62 | 12.25 | 0. | 2.62 |
time (sec) |
N/A |
0.015 |
0.006 |
0.033 |
1.574 |
2.25 |
0. |
1.196 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 29 | 42 | 198 | 0 | 50 |
normalized size | 1 | 1. | 1. | 1.81 | 2.62 | 12.38 | 0. | 3.12 |
time (sec) |
N/A |
0.015 |
0.008 |
0.039 |
1.599 |
2.27 |
0. |
1.192 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
C |
C |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 56 | 67 | 153 | 467 | 0 | 192 |
normalized size | 1 | 1. | 0.64 | 0.76 | 1.74 | 5.31 | 0. | 2.18 |
time (sec) |
N/A |
0.049 |
0.295 |
0.026 |
1.694 |
2.338 |
0. |
1.36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
C |
C |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 46 | 53 | 89 | 252 | 0 | 124 |
normalized size | 1 | 1. | 0.77 | 0.88 | 1.48 | 4.2 | 0. | 2.07 |
time (sec) |
N/A |
0.032 |
0.094 |
0.015 |
1.601 |
2.27 |
0. |
1.298 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
C |
C |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 45 | 38 | 55 | 0 | 73 |
normalized size | 1 | 1. | 1. | 1.45 | 1.23 | 1.77 | 0. | 2.35 |
time (sec) |
N/A |
0.018 |
0.033 |
0.029 |
1.622 |
2.344 |
0. |
1.184 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
C |
C |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 39 | 52 | 61 | 54 | 0 | 85 |
normalized size | 1 | 1. | 1.26 | 1.68 | 1.97 | 1.74 | 0. | 2.74 |
time (sec) |
N/A |
0.017 |
0.079 |
0.027 |
1.573 |
2.321 |
0. |
1.229 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
C |
C |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 51 | 79 | 115 | 252 | 0 | 151 |
normalized size | 1 | 1. | 0.85 | 1.32 | 1.92 | 4.2 | 0. | 2.52 |
time (sec) |
N/A |
0.031 |
0.126 |
0.019 |
1.63 |
2.276 |
0. |
1.266 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
C |
C |
F |
C |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 63 | 91 | 177 | 466 | 0 | 182 |
normalized size | 1 | 1. | 0.72 | 1.03 | 2.01 | 5.3 | 0. | 2.07 |
time (sec) |
N/A |
0.048 |
0.236 |
0.017 |
1.607 |
2.328 |
0. |
1.385 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 38 | 43 | 0 | 374 | 0 | 74 |
normalized size | 1 | 1. | 0.67 | 0.75 | 0. | 6.56 | 0. | 1.3 |
time (sec) |
N/A |
0.038 |
0.038 |
0.039 |
0. |
2.233 |
0. |
1.211 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 55 | 76 | 0 | 4099 | 0 | 462 |
normalized size | 1 | 1. | 0.64 | 0.88 | 0. | 47.66 | 0. | 5.37 |
time (sec) |
N/A |
0.037 |
0.059 |
0.03 |
0. |
2.724 |
0. |
1.31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 40 | 62 | 0 | 1237 | 0 | 155 |
normalized size | 1 | 1. | 0.63 | 0.98 | 0. | 19.63 | 0. | 2.46 |
time (sec) |
N/A |
0.03 |
0.033 |
0.036 |
0. |
2.318 |
0. |
1.242 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 26 | 65 | 0 | 1763 | 0 | 0 |
normalized size |
1 |
1. |
0.41 |
1.02 |
0. |
27.55 |
0. |
0. |
time (sec) |
N/A |
0.03 |
0.017 |
0.04 |
0. |
2.451 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 56 | 46 | 111 | 6368 | 0 | 61 |
normalized size | 1 | 1. | 0.81 | 0.67 | 1.61 | 92.29 | 0. | 0.88 |
time (sec) |
N/A |
0.026 |
0.148 |
0.026 |
1.61 |
2.527 |
0. |
1.185 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 19 | 32 | 26 | 647 | 0 | 22 |
normalized size | 1 | 1. | 0.61 | 1.03 | 0.84 | 20.87 | 0. | 0.71 |
time (sec) |
N/A |
0.014 |
0.017 |
0.032 |
1.603 |
2.321 |
0. |
1.194 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 19 | 32 | 31 | 668 | 0 | 26 |
normalized size | 1 | 1. | 0.61 | 1.03 | 1. | 21.55 | 0. | 0.84 |
time (sec) |
N/A |
0.014 |
0.033 |
0.039 |
1.648 |
2.133 |
0. |
1.261 |
|
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Problem 40 |
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 | 57 | 57 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.96 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.052 |
3.984 |
0. |
0. |
0. |
0. |
|
|
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Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 202 | 81 | 408 | 2376 | 95 | 101 |
normalized size | 1 | 1. | 2.02 | 0.81 | 4.08 | 23.76 | 0.95 | 1.01 |
time (sec) |
N/A |
0.072 |
1.608 |
0.006 |
1.591 |
2.358 |
0.616 |
1.203 |
|
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Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 178 | 65 | 265 | 1470 | 76 | 86 |
normalized size | 1 | 1. | 2.31 | 0.84 | 3.44 | 19.09 | 0.99 | 1.12 |
time (sec) |
N/A |
0.053 |
1.088 |
0.003 |
1.658 |
2.341 |
0.422 |
1.175 |
|
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Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 103 | 49 | 157 | 780 | 61 | 72 |
normalized size | 1 | 1. | 1.84 | 0.88 | 2.8 | 13.93 | 1.09 | 1.29 |
time (sec) |
N/A |
0.036 |
0.898 |
0.001 |
1.612 |
2.156 |
0.28 |
1.171 |
|
|
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Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 58 | 33 | 68 | 308 | 44 | 53 |
normalized size | 1 | 1. | 1.61 | 0.92 | 1.89 | 8.56 | 1.22 | 1.47 |
time (sec) |
N/A |
0.021 |
0.505 |
0.003 |
1.08 |
2.199 |
0.296 |
1.162 |
|
|
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Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 39 | 54 | 42 | 136 | 73 | 36 |
normalized size | 1 | 1. | 1.39 | 1.93 | 1.5 | 4.86 | 2.61 | 1.29 |
time (sec) |
N/A |
0.013 |
0.101 |
0.017 |
1.084 |
2.19 |
0.827 |
1.189 |
|
|
|
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Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 60 | 72 | 58 | 270 | 223 | 54 |
normalized size | 1 | 1. | 1.18 | 1.41 | 1.14 | 5.29 | 4.37 | 1.06 |
time (sec) |
N/A |
0.028 |
0.171 |
0.018 |
1.081 |
2.224 |
1.645 |
1.17 |
|
|
|
|
|
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|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 83 | 90 | 76 | 428 | 430 | 69 |
normalized size | 1 | 1. | 1.14 | 1.23 | 1.04 | 5.86 | 5.89 | 0.95 |
time (sec) |
N/A |
0.044 |
0.246 |
0.019 |
1.136 |
2.118 |
2.017 |
1.196 |
|
|
|
|
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Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 88 | 108 | 90 | 594 | 694 | 84 |
normalized size | 1 | 1. | 0.92 | 1.12 | 0.94 | 6.19 | 7.23 | 0.88 |
time (sec) |
N/A |
0.062 |
0.249 |
0.02 |
1.078 |
2.156 |
2.608 |
1.186 |
|
|
|
|
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Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 109 | 126 | 105 | 798 | 1018 | 99 |
normalized size | 1 | 1. | 0.9 | 1.04 | 0.87 | 6.6 | 8.41 | 0.82 |
time (sec) |
N/A |
0.082 |
0.276 |
0.027 |
1.096 |
2.197 |
4.176 |
1.204 |
|
|
|
|
|
|
|
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|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 65 | 43 | 112 | 1470 | 0 | 189 |
normalized size |
1 |
1. |
1.14 |
0.75 |
1.96 |
25.79 |
0. |
3.32 |
time (sec) |
N/A |
0.041 |
0.201 |
0.019 |
1.633 |
2.344 |
0. |
1.277 |
|
|
|
|
|
|
|
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|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 39 | 35 | 95 | 871 | 0 | 130 |
normalized size | 1 | 1. | 0.87 | 0.78 | 2.11 | 19.36 | 0. | 2.89 |
time (sec) |
N/A |
0.031 |
0.164 |
0.013 |
1.589 |
2.327 |
0. |
1.174 |
|
|
|
|
|
|
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Problem 52 |
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 | 33 | 33 | 33 | 27 | 77 | 451 | 0 | 70 |
normalized size | 1 | 1. | 1. | 0.82 | 2.33 | 13.67 | 0. | 2.12 |
time (sec) |
N/A |
0.021 |
0.067 |
0.013 |
1.566 |
2.255 |
0. |
1.173 |
|
|
|
|
|
|
|
|
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|
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|
Problem 53 |
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 | 21 | 21 | 21 | 17 | 58 | 182 | 0 | 36 |
normalized size | 1 | 1. | 1. | 0.81 | 2.76 | 8.67 | 0. | 1.71 |
time (sec) |
N/A |
0.011 |
0.045 |
0.032 |
1.601 |
2.22 |
0. |
1.202 |
|
|
|
|
|
|
|
|
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|
|
Problem 54 |
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 | 32 | 32 | 32 | 27 | 77 | 301 | 0 | 68 |
normalized size | 1 | 1. | 1. | 0.84 | 2.41 | 9.41 | 0. | 2.12 |
time (sec) |
N/A |
0.023 |
0.072 |
0.033 |
1.586 |
2.291 |
0. |
1.182 |
|
|
|
|
|
|
|
|
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|
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|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 53 | 35 | 93 | 579 | 0 | 130 |
normalized size | 1 | 1. | 1.08 | 0.71 | 1.9 | 11.82 | 0. | 2.65 |
time (sec) |
N/A |
0.031 |
0.133 |
0.014 |
1.607 |
2.34 |
0. |
1.204 |
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 62 | 43 | 107 | 921 | 0 | 189 |
normalized size | 1 | 1. | 1.02 | 0.7 | 1.75 | 15.1 | 0. | 3.1 |
time (sec) |
N/A |
0.041 |
0.229 |
0.017 |
1.64 |
2.228 |
0. |
1.246 |
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 57 |
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 | 142 | 142 | 114 | 322 | 419 | 6413 | 211 | 305 |
normalized size | 1 | 1. | 0.8 | 2.27 | 2.95 | 45.16 | 1.49 | 2.15 |
time (sec) |
N/A |
0.211 |
0.64 |
0.005 |
1.655 |
2.616 |
0.757 |
1.217 |
|
|
|
|
|
|
|
|
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|
Problem 58 |
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 | 101 | 101 | 91 | 246 | 271 | 3318 | 144 | 209 |
normalized size | 1 | 1. | 0.9 | 2.44 | 2.68 | 32.85 | 1.43 | 2.07 |
time (sec) |
N/A |
0.124 |
0.334 |
0.006 |
1.871 |
2.462 |
0.527 |
1.199 |
|
|
|
|
|
|
|
|
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|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 67 | 173 | 159 | 1563 | 100 | 138 |
normalized size | 1 | 1. | 0.97 | 2.51 | 2.3 | 22.65 | 1.45 | 2. |
time (sec) |
N/A |
0.065 |
0.327 |
0.004 |
1.783 |
2.293 |
0.341 |
1.237 |
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 54 | 116 | 66 | 535 | 54 | 82 |
normalized size | 1 | 1. | 1.42 | 3.05 | 1.74 | 14.08 | 1.42 | 2.16 |
time (sec) |
N/A |
0.023 |
0.095 |
0.004 |
1.127 |
2.215 |
0.224 |
1.238 |
|
|
|
|
|
|
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|
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|
|
|
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|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 64 | 76 | 76 | 149 | 224 | 85 |
normalized size | 1 | 1. | 1.28 | 1.52 | 1.52 | 2.98 | 4.48 | 1.7 |
time (sec) |
N/A |
0.054 |
0.082 |
0.019 |
1.177 |
2.322 |
2.365 |
1.241 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 94 | 101 | 171 | 980 | 3599 | 188 |
normalized size | 1 | 1. | 1.11 | 1.19 | 2.01 | 11.53 | 42.34 | 2.21 |
time (sec) |
N/A |
0.09 |
1.059 |
0.027 |
1.158 |
2.393 |
32.424 |
1.215 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 122 | 166 | 439 | 3182 | 0 | 288 |
normalized size |
1 |
1. |
0.95 |
1.29 |
3.4 |
24.67 |
0. |
2.23 |
time (sec) |
N/A |
0.178 |
2.291 |
0.03 |
1.429 |
2.575 |
0. |
1.25 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 160 | 230 | 709 | 8128 | 0 | 427 |
normalized size |
1 |
1. |
0.95 |
1.36 |
4.2 |
48.09 |
0. |
2.53 |
time (sec) |
N/A |
0.269 |
3.257 |
0.035 |
1.416 |
2.897 |
0. |
1.272 |
|
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Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 53 | 46 | 38 | 130 | 42 | 42 |
normalized size | 1 | 1. | 1.71 | 1.48 | 1.23 | 4.19 | 1.35 | 1.35 |
time (sec) |
N/A |
0.044 |
0.033 |
0.017 |
1.113 |
2.258 |
0.634 |
1.181 |
|
|
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Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 53 | 46 | 39 | 127 | 42 | 39 |
normalized size | 1 | 1. | 1.71 | 1.48 | 1.26 | 4.1 | 1.35 | 1.26 |
time (sec) |
N/A |
0.042 |
0.032 |
0.017 |
1.112 |
2.265 |
0.572 |
1.188 |
|
|
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Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 74 | 63 | 0 | 5682 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0.85 |
0. |
76.78 |
0. |
0. |
time (sec) |
N/A |
0.072 |
0.088 |
0.052 |
0. |
2.912 |
0. |
0. |
|
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Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 74 | 62 | 0 | 5844 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0.84 |
0. |
78.97 |
0. |
0. |
time (sec) |
N/A |
0.069 |
0.064 |
0.039 |
0. |
2.845 |
0. |
0. |
|
|
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Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 42 | 98 | 49 | 319 | 0 | 57 |
normalized size | 1 | 1. | 0.7 | 1.63 | 0.82 | 5.32 | 0. | 0.95 |
time (sec) |
N/A |
0.072 |
0.076 |
0.031 |
1.121 |
2.249 |
0. |
1.22 |
|
|
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Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 34 | 72 | 36 | 200 | 134 | 34 |
normalized size | 1 | 1. | 1.36 | 2.88 | 1.44 | 8. | 5.36 | 1.36 |
time (sec) |
N/A |
0.167 |
0.059 |
0.027 |
1.182 |
2.198 |
1.597 |
1.194 |
|
|
|
|
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Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 24 | 68 | 30 | 176 | 0 | 41 |
normalized size | 1 | 1. | 0.63 | 1.79 | 0.79 | 4.63 | 0. | 1.08 |
time (sec) |
N/A |
0.059 |
0.037 |
0.027 |
1.139 |
2.314 |
0. |
1.227 |
|
|
|
|
|
|
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|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 19 | 42 | 15 | 90 | 48 | 15 |
normalized size | 1 | 1. | 1.12 | 2.47 | 0.88 | 5.29 | 2.82 | 0.88 |
time (sec) |
N/A |
0.111 |
0.016 |
0.023 |
1.156 |
2.439 |
0.436 |
1.187 |
|
|
|
|
|
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|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 14 | 17 | 28 | 167 | 0 | 24 |
normalized size | 1 | 1. | 1.17 | 1.42 | 2.33 | 13.92 | 0. | 2. |
time (sec) |
N/A |
0.11 |
0.021 |
0.023 |
1.143 |
2.631 |
0. |
1.281 |
|
|
|
|
|
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|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 11 | 32 | 39 | 267 | 0 | 39 |
normalized size | 1 | 1. | 0.73 | 2.13 | 2.6 | 17.8 | 0. | 2.6 |
time (sec) |
N/A |
0.039 |
0.029 |
0.026 |
1.121 |
2.633 |
0. |
1.176 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 20 | 39 | 65 | 733 | 0 | 46 |
normalized size | 1 | 1. | 1.11 | 2.17 | 3.61 | 40.72 | 0. | 2.56 |
time (sec) |
N/A |
0.161 |
0.079 |
0.027 |
1.115 |
2.644 |
0. |
1.213 |
|
|
|
|
|
|
|
|
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|
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|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 20 | 48 | 101 | 286 | 0 | 24 |
normalized size | 1 | 1. | 1.18 | 2.82 | 5.94 | 16.82 | 0. | 1.41 |
time (sec) |
N/A |
0.044 |
0.048 |
0.03 |
1.165 |
2.284 |
0. |
1.227 |
|
|
|
|
|
|
|
|
|
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|
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|
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|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 49 | 55 | 100 | 2136 | 0 | 66 |
normalized size | 1 | 1. | 1.44 | 1.62 | 2.94 | 62.82 | 0. | 1.94 |
time (sec) |
N/A |
0.192 |
0.119 |
0.033 |
1.079 |
2.189 |
0. |
1.32 |
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 27 | 80 | 201 | 626 | 0 | 32 |
normalized size | 1 | 1. | 0.82 | 2.42 | 6.09 | 18.97 | 0. | 0.97 |
time (sec) |
N/A |
0.054 |
0.051 |
0.033 |
1.105 |
1.985 |
0. |
1.216 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 68 | 103 | 132 | 4358 | 0 | 82 |
normalized size | 1 | 1. | 1.55 | 2.34 | 3. | 99.05 | 0. | 1.86 |
time (sec) |
N/A |
0.211 |
0.264 |
0.033 |
1.213 |
2.318 |
0. |
1.288 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 144 | 320 | 220 | 2747 | 0 | 289 |
normalized size |
1 |
1. |
0.98 |
2.18 |
1.5 |
18.69 |
0. |
1.97 |
time (sec) |
N/A |
0.346 |
0.54 |
0.046 |
1.161 |
2.541 |
0. |
1.187 |
|
|
|
|
|
|
|
|
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|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 137 | 180 | 166 | 0 | 4208 | 0 | 220 |
normalized size |
1 |
1. |
1.31 |
1.21 |
0. |
30.72 |
0. |
1.61 |
time (sec) |
N/A |
0.279 |
1.148 |
0.042 |
0. |
2.452 |
0. |
1.217 |
|
|
|
|
|
|
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|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 73 | 145 | 112 | 826 | 0 | 136 |
normalized size | 1 | 1. | 0.87 | 1.73 | 1.33 | 9.83 | 0. | 1.62 |
time (sec) |
N/A |
0.162 |
0.222 |
0.039 |
1.168 |
2.633 |
0. |
1.213 |
|
|
|
|
|
|
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|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 79 | 92 | 0 | 1103 | 0 | 81 |
normalized size |
1 |
1. |
1.1 |
1.28 |
0. |
15.32 |
0. |
1.12 |
time (sec) |
N/A |
0.116 |
0.221 |
0.03 |
0. |
2.519 |
0. |
1.187 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
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|
|
Problem 84 |
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 | 52 | 52 | 59 | 53 | 0 | 675 | 0 | 81 |
normalized size |
1 |
1. |
1.13 |
1.02 |
0. |
12.98 |
0. |
1.56 |
time (sec) |
N/A |
0.143 |
0.09 |
0.033 |
0. |
2.451 |
0. |
1.213 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 28 | 56 | 88 | 360 | 0 | 105 |
normalized size | 1 | 1. | 0.97 | 1.93 | 3.03 | 12.41 | 0. | 3.62 |
time (sec) |
N/A |
0.054 |
0.083 |
0.039 |
1.04 |
2.26 |
0. |
1.199 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 123 | 110 | 0 | 3212 | 0 | 169 |
normalized size |
1 |
1. |
1.5 |
1.34 |
0. |
39.17 |
0. |
2.06 |
time (sec) |
N/A |
0.293 |
0.346 |
0.042 |
0. |
2.78 |
0. |
1.184 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 70 | 166 | 217 | 2186 | 0 | 273 |
normalized size | 1 | 1. | 0.9 | 2.13 | 2.78 | 28.03 | 0. | 3.5 |
time (sec) |
N/A |
0.1 |
0.239 |
0.045 |
1.122 |
2.464 |
0. |
1.295 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 255 | 255 | 296 | 311 | 0 | 12964 | 0 | 369 |
normalized size |
1 |
1. |
1.16 |
1.22 |
0. |
50.84 |
0. |
1.45 |
time (sec) |
N/A |
0.548 |
0.847 |
0.047 |
0. |
3.802 |
0. |
1.252 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 119 | 333 | 416 | 7144 | 0 | 556 |
normalized size | 1 | 1. | 0.92 | 2.56 | 3.2 | 54.95 | 0. | 4.28 |
time (sec) |
N/A |
0.154 |
0.582 |
0.051 |
1.111 |
2.747 |
0. |
1.219 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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Problem 90 |
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 | 33 | 33 | 46 | 29 | 46 | 180 | 0 | 38 |
normalized size | 1 | 1. | 1.39 | 0.88 | 1.39 | 5.45 | 0. | 1.15 |
time (sec) |
N/A |
0.102 |
0.068 |
0.036 |
1.563 |
2.322 |
0. |
1.226 |
|
|
|
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Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 42 | 116 | 49 | 323 | 0 | 57 |
normalized size | 1 | 1. | 0.7 | 1.93 | 0.82 | 5.38 | 0. | 0.95 |
time (sec) |
N/A |
0.061 |
0.045 |
0.033 |
1.114 |
2.198 |
0. |
1.251 |
|
|
|
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Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 36 | 80 | 45 | 221 | 134 | 42 |
normalized size | 1 | 1. | 1.24 | 2.76 | 1.55 | 7.62 | 4.62 | 1.45 |
time (sec) |
N/A |
0.042 |
0.047 |
0.032 |
1.063 |
2.061 |
1.591 |
1.178 |
|
|
|
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Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 30 | 76 | 30 | 178 | 0 | 41 |
normalized size | 1 | 1. | 0.79 | 2. | 0.79 | 4.68 | 0. | 1.08 |
time (sec) |
N/A |
0.049 |
0.03 |
0.032 |
1.018 |
2.149 |
0. |
1.208 |
|
|
|
|
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Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 23 | 40 | 23 | 99 | 48 | 26 |
normalized size | 1 | 1. | 1.21 | 2.11 | 1.21 | 5.21 | 2.53 | 1.37 |
time (sec) |
N/A |
0.03 |
0.027 |
0.027 |
1.01 |
2.218 |
0.436 |
1.259 |
|
|
|
|
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Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 7 | 11 | 8 | 32 | 8 | 8 |
normalized size | 1 | 1. | 0.7 | 1.1 | 0.8 | 3.2 | 0.8 | 0.8 |
time (sec) |
N/A |
0.02 |
0.003 |
0.003 |
1.179 |
2.231 |
0.382 |
1.19 |
|
|
|
|
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Problem 96 |
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 | 5 | 5 | 7 | 6 | 7 | 57 | 0 | 18 |
normalized size | 1 | 1. | 1.4 | 1.2 | 1.4 | 11.4 | 0. | 3.6 |
time (sec) |
N/A |
0.033 |
0.004 |
0.018 |
1.167 |
2.316 |
0. |
1.267 |
|
|
|
|
|
|
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|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 6 | 6 | 12 | 21 | 30 | 198 | 0 | 24 |
normalized size | 1 | 1. | 2. | 3.5 | 5. | 33. | 0. | 4. |
time (sec) |
N/A |
0.035 |
0.025 |
0.022 |
1.583 |
2.082 |
0. |
1.222 |
|
|
|
|
|
|
|
|
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|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 34 | 50 | 181 | 0 | 14 |
normalized size | 1 | 1. | 1. | 3.09 | 4.55 | 16.45 | 0. | 1.27 |
time (sec) |
N/A |
0.033 |
0.024 |
0.025 |
1.183 |
2.022 |
0. |
1.255 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 41 | 66 | 968 | 0 | 42 |
normalized size | 1 | 1. | 1. | 1.71 | 2.75 | 40.33 | 0. | 1.75 |
time (sec) |
N/A |
0.042 |
0.027 |
0.026 |
1.637 |
2.215 |
0. |
1.229 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 20 | 56 | 126 | 467 | 0 | 24 |
normalized size | 1 | 1. | 0.8 | 2.24 | 5.04 | 18.68 | 0. | 0.96 |
time (sec) |
N/A |
0.041 |
0.03 |
0.024 |
1.118 |
2.153 |
0. |
1.204 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 34 | 67 | 99 | 2298 | 0 | 61 |
normalized size | 1 | 1. | 1. | 1.97 | 2.91 | 67.59 | 0. | 1.79 |
time (sec) |
N/A |
0.048 |
0.033 |
0.028 |
1.745 |
2.156 |
0. |
1.227 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
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 | 140 | 140 | 137 | 925 | 521 | 12186 | 0 | 801 |
normalized size |
1 |
1. |
0.98 |
6.61 |
3.72 |
87.04 |
0. |
5.72 |
time (sec) |
N/A |
0.158 |
0.551 |
0.056 |
1.73 |
3.166 |
0. |
1.231 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
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 | 83 | 83 | 92 | 438 | 275 | 4520 | 0 | 427 |
normalized size |
1 |
1. |
1.11 |
5.28 |
3.31 |
54.46 |
0. |
5.14 |
time (sec) |
N/A |
0.111 |
0.347 |
0.046 |
1.615 |
2.643 |
0. |
1.257 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 49 | 143 | 120 | 1088 | 0 | 140 |
normalized size | 1 | 1. | 1.22 | 3.58 | 3. | 27.2 | 0. | 3.5 |
time (sec) |
N/A |
0.066 |
0.157 |
0.039 |
1.679 |
2.434 |
0. |
1.207 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
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 | 11 | 11 | 20 | 12 | 15 | 126 | 0 | 61 |
normalized size | 1 | 1. | 1.82 | 1.09 | 1.36 | 11.45 | 0. | 5.55 |
time (sec) |
N/A |
0.042 |
0.044 |
0.023 |
1.166 |
2.311 |
0. |
1.21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 29 | 55 | 55 | 108 | 146 | 58 |
normalized size | 1 | 1. | 0.74 | 1.41 | 1.41 | 2.77 | 3.74 | 1.49 |
time (sec) |
N/A |
0.046 |
0.045 |
0.011 |
1.14 |
2.359 |
0.743 |
1.214 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 75 | 175 | 116 | 818 | 0 | 150 |
normalized size | 1 | 1. | 0.82 | 1.92 | 1.27 | 8.99 | 0. | 1.65 |
time (sec) |
N/A |
0.146 |
0.113 |
0.046 |
1.226 |
2.304 |
0. |
1.21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 155 | 155 | 156 | 354 | 223 | 2882 | 0 | 306 |
normalized size |
1 |
1. |
1.01 |
2.28 |
1.44 |
18.59 |
0. |
1.97 |
time (sec) |
N/A |
0.236 |
0.194 |
0.049 |
1.168 |
2.393 |
0. |
1.24 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 157 | 187 | 166 | 715 | 0 | 16338 | 0 | 440 |
normalized size |
1 |
1.19 |
1.06 |
4.55 |
0. |
104.06 |
0. |
2.8 |
time (sec) |
N/A |
0.273 |
0.496 |
0.053 |
0. |
4.489 |
0. |
1.236 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 109 | 116 | 316 | 0 | 5131 | 0 | 205 |
normalized size |
1 |
1.07 |
1.14 |
3.1 |
0. |
50.3 |
0. |
2.01 |
time (sec) |
N/A |
0.166 |
0.259 |
0.042 |
0. |
3.163 |
0. |
1.265 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 65 | 110 | 0 | 1000 | 0 | 85 |
normalized size |
1 |
1. |
1.16 |
1.96 |
0. |
17.86 |
0. |
1.52 |
time (sec) |
N/A |
0.088 |
0.084 |
0.03 |
0. |
2.56 |
0. |
1.248 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
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 | 37 | 37 | 46 | 39 | 0 | 423 | 0 | 47 |
normalized size |
1 |
1. |
1.24 |
1.05 |
0. |
11.43 |
0. |
1.27 |
time (sec) |
N/A |
0.032 |
0.029 |
0.018 |
0. |
2.165 |
0. |
1.293 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 80 | 93 | 0 | 1106 | 0 | 82 |
normalized size |
1 |
1. |
1.1 |
1.27 |
0. |
15.15 |
0. |
1.12 |
time (sec) |
N/A |
0.09 |
0.225 |
0.038 |
0. |
2.496 |
0. |
1.211 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 258 | 198 | 0 | 4251 | 0 | 219 |
normalized size |
1 |
1. |
1.95 |
1.5 |
0. |
32.2 |
0. |
1.66 |
time (sec) |
N/A |
0.156 |
0.459 |
0.044 |
0. |
2.566 |
0. |
1.269 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 40 | 40 | 74 | 1897 | 104 | 63 |
normalized size | 1 | 1. | 0.93 | 0.93 | 1.72 | 44.12 | 2.42 | 1.47 |
time (sec) |
N/A |
0.089 |
0.095 |
0.023 |
1.646 |
2.368 |
0.637 |
1.239 |
|
|
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Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 33 | 32 | 58 | 1168 | 85 | 53 |
normalized size | 1 | 1. | 0.89 | 0.86 | 1.57 | 31.57 | 2.3 | 1.43 |
time (sec) |
N/A |
0.066 |
0.052 |
0.019 |
1.762 |
2.322 |
0.539 |
1.271 |
|
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Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 28 | 39 | 632 | 75 | 47 |
normalized size | 1 | 1. | 0.87 | 0.9 | 1.26 | 20.39 | 2.42 | 1.52 |
time (sec) |
N/A |
0.051 |
0.045 |
0.017 |
1.921 |
2.282 |
0.47 |
1.2 |
|
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Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 23 | 24 | 23 | 259 | 61 | 23 |
normalized size | 1 | 1. | 1.21 | 1.26 | 1.21 | 13.63 | 3.21 | 1.21 |
time (sec) |
N/A |
0.038 |
0.028 |
0.016 |
1.85 |
2.322 |
0.428 |
1.209 |
|
|
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Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 18 | 24 | 14 | 88 | 27 | 14 |
normalized size | 1 | 1. | 1.12 | 1.5 | 0.88 | 5.5 | 1.69 | 0.88 |
time (sec) |
N/A |
0.02 |
0.026 |
0.016 |
1.267 |
2.211 |
0.388 |
1.206 |
|
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Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 18 | 24 | 14 | 88 | 27 | 14 |
normalized size | 1 | 1. | 1.12 | 1.5 | 0.88 | 5.5 | 1.69 | 0.88 |
time (sec) |
N/A |
0.008 |
0.015 |
0.014 |
1.181 |
2.104 |
0.396 |
1.197 |
|
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Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 23 | 43 | 32 | 259 | 0 | 24 |
normalized size | 1 | 1. | 1.21 | 2.26 | 1.68 | 13.63 | 0. | 1.26 |
time (sec) |
N/A |
0.04 |
0.028 |
0.027 |
1.27 |
2.375 |
0. |
1.205 |
|
|
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Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 27 | 59 | 51 | 632 | 0 | 49 |
normalized size | 1 | 1. | 0.93 | 2.03 | 1.76 | 21.79 | 0. | 1.69 |
time (sec) |
N/A |
0.068 |
0.043 |
0.029 |
1.218 |
2.254 |
0. |
1.208 |
|
|
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|
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|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 33 | 75 | 73 | 1168 | 0 | 54 |
normalized size | 1 | 1. | 0.89 | 2.03 | 1.97 | 31.57 | 0. | 1.46 |
time (sec) |
N/A |
0.089 |
0.059 |
0.032 |
1.398 |
2.218 |
0. |
1.183 |
|
|
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|
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|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 42 | 91 | 86 | 1897 | 0 | 65 |
normalized size | 1 | 1. | 0.98 | 2.12 | 2. | 44.12 | 0. | 1.51 |
time (sec) |
N/A |
0.101 |
0.128 |
0.036 |
1.142 |
2.211 |
0. |
1.271 |
|
|
|
|
|
|
|
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|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 39 | 35 | 0 | 871 | 82 | 130 |
normalized size | 1 | 1. | 0.87 | 0.78 | 0. | 19.36 | 1.82 | 2.89 |
time (sec) |
N/A |
0.048 |
0.18 |
0.011 |
0. |
2.34 |
11.353 |
1.355 |
|
|
|
|
|
|
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|
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|
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|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 26 | 0 | 456 | 70 | 72 |
normalized size | 1 | 1. | 1. | 0.81 | 0. | 14.25 | 2.19 | 2.25 |
time (sec) |
N/A |
0.035 |
0.044 |
0.026 |
0. |
2.298 |
2.139 |
1.264 |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 25 | 0 | 301 | 66 | 78 |
normalized size | 1 | 1. | 1. | 0.83 | 0. | 10.03 | 2.2 | 2.6 |
time (sec) |
N/A |
0.037 |
0.054 |
0.043 |
0. |
2.157 |
2.408 |
1.267 |
|
|
|
|
|
|
|
|
|
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|
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|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 51 | 35 | 0 | 579 | 82 | 100 |
normalized size | 1 | 1. | 1.04 | 0.71 | 0. | 11.82 | 1.67 | 2.04 |
time (sec) |
N/A |
0.049 |
0.119 |
0.016 |
0. |
2.247 |
10.032 |
1.269 |
|
|
|
|
|
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|
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|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 53 | 35 | 0 | 1450 | 82 | 189 |
normalized size | 1 | 1. | 1.18 | 0.78 | 0. | 32.22 | 1.82 | 4.2 |
time (sec) |
N/A |
0.058 |
0.198 |
0.019 |
0. |
2.348 |
17.353 |
1.291 |
|
|
|
|
|
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|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 34 | 26 | 0 | 818 | 71 | 130 |
normalized size | 1 | 1. | 1. | 0.76 | 0. | 24.06 | 2.09 | 3.82 |
time (sec) |
N/A |
0.044 |
0.068 |
0.034 |
0. |
2.206 |
2.999 |
1.223 |
|
|
|
|
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|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 37 | 35 | 0 | 639 | 78 | 73 |
normalized size | 1 | 1. | 0.88 | 0.83 | 0. | 15.21 | 1.86 | 1.74 |
time (sec) |
N/A |
0.056 |
0.088 |
0.039 |
0. |
2.35 |
3.403 |
1.26 |
|
|
|
|
|
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|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 53 | 35 | 0 | 579 | 82 | 136 |
normalized size | 1 | 1. | 1.08 | 0.71 | 0. | 11.82 | 1.67 | 2.78 |
time (sec) |
N/A |
0.08 |
0.096 |
0.021 |
0. |
2.264 |
11.425 |
1.268 |
|
|
|
|
|
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|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 105 | 96 | 203 | 3089 | 0 | 192 |
normalized size |
1 |
1. |
1.12 |
1.02 |
2.16 |
32.86 |
0. |
2.04 |
time (sec) |
N/A |
0.367 |
0.453 |
0.023 |
1.765 |
2.626 |
0. |
1.21 |
|
|
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|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 88 | 76 | 135 | 1538 | 442 | 132 |
normalized size | 1 | 1. | 1.16 | 1. | 1.78 | 20.24 | 5.82 | 1.74 |
time (sec) |
N/A |
0.213 |
0.274 |
0.022 |
1.83 |
2.514 |
105.921 |
1.311 |
|
|
|
|
|
|
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|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 65 | 67 | 96 | 662 | 330 | 101 |
normalized size | 1 | 1. | 1.02 | 1.05 | 1.5 | 10.34 | 5.16 | 1.58 |
time (sec) |
N/A |
0.129 |
0.12 |
0.02 |
1.846 |
2.495 |
1.36 |
1.204 |
|
|
|
|
|
|
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|
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|
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|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 49 | 60 | 76 | 186 | 243 | 78 |
normalized size | 1 | 1. | 0.78 | 0.95 | 1.21 | 2.95 | 3.86 | 1.24 |
time (sec) |
N/A |
0.092 |
0.075 |
0.017 |
1.815 |
2.287 |
0.871 |
1.181 |
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 29 | 55 | 54 | 109 | 141 | 58 |
normalized size | 1 | 1. | 0.74 | 1.41 | 1.38 | 2.79 | 3.62 | 1.49 |
time (sec) |
N/A |
0.059 |
0.054 |
0.019 |
1.277 |
2.164 |
0.702 |
1.19 |
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 29 | 55 | 55 | 108 | 146 | 58 |
normalized size | 1 | 1. | 0.74 | 1.41 | 1.41 | 2.77 | 3.74 | 1.49 |
time (sec) |
N/A |
0.046 |
0.041 |
0. |
1.142 |
2.172 |
0.687 |
1.167 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 139 |
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 | 51 | 51 | 46 | 78 | 88 | 185 | 0 | 78 |
normalized size | 1 | 1. | 0.9 | 1.53 | 1.73 | 3.63 | 0. | 1.53 |
time (sec) |
N/A |
0.079 |
0.077 |
0.039 |
1.261 |
2.357 |
0. |
1.18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 64 | 100 | 116 | 662 | 0 | 101 |
normalized size | 1 | 1. | 1.07 | 1.67 | 1.93 | 11.03 | 0. | 1.68 |
time (sec) |
N/A |
0.182 |
0.123 |
0.042 |
1.259 |
2.481 |
0. |
1.152 |
|
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Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 91 | 134 | 163 | 1539 | 0 | 131 |
normalized size | 1 | 1. | 1.2 | 1.76 | 2.14 | 20.25 | 0. | 1.72 |
time (sec) |
N/A |
0.309 |
0.184 |
0.046 |
1.278 |
2.837 |
0. |
1.18 |
|
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Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 108 | 185 | 234 | 3087 | 0 | 192 |
normalized size | 1 | 1. | 1.11 | 1.91 | 2.41 | 31.82 | 0. | 1.98 |
time (sec) |
N/A |
0.494 |
0.285 |
0.049 |
1.187 |
3.081 |
0. |
1.187 |
|
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Problem 143 |
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 | 55 | 55 | 49 | 73 | 92 | 491 | 0 | 235 |
normalized size | 1 | 1. | 0.89 | 1.33 | 1.67 | 8.93 | 0. | 4.27 |
time (sec) |
N/A |
0.085 |
0.166 |
0.111 |
2.044 |
2.713 |
0. |
1.188 |
|
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Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 231 | 231 | 250 | 953 | 0 | 3791 | 0 | 0 |
normalized size | 1 | 1. | 1.08 | 4.13 | 0. | 16.41 | 0. | 0. |
time (sec) |
N/A |
0.541 |
2.446 |
0.155 |
0. |
2.822 |
0. |
0. |
|
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Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 351 | 351 | 316 | 1186 | 0 | 5269 | 0 | 0 |
normalized size | 1 | 1. | 0.9 | 3.38 | 0. | 15.01 | 0. | 0. |
time (sec) |
N/A |
0.867 |
2.302 |
0.134 |
0. |
3.123 |
0. |
0. |
|
|
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Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
A |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 0 | 64 | 24 | 31 | 72 | 0 | 31 |
normalized size | 1 | 0. | 2.21 | 0.83 | 1.07 | 2.48 | 0. | 1.07 |
time (sec) |
N/A |
0.029 |
0.025 |
0.021 |
1.237 |
2.447 |
0. |
1.165 |
|
|
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Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 0 | 64 | 37 | 173 | 506 | 0 | 166 |
normalized size | 1 | 0. | 0.42 | 0.25 | 1.15 | 3.35 | 0. | 1.1 |
time (sec) |
N/A |
0.022 |
0.251 |
0.022 |
1.799 |
2.512 |
0. |
1.2 |
|
|
|
|
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Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 0 | 35 | 41 | 26 | 57 | 0 | 26 |
normalized size | 1 | 0. | 1.52 | 1.78 | 1.13 | 2.48 | 0. | 1.13 |
time (sec) |
N/A |
0.016 |
0.187 |
0.035 |
1.914 |
1.839 |
0. |
1.235 |
|
|
|
|
|
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Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 0 | 58 | 33 | 167 | 498 | 0 | 161 |
normalized size | 1 | 0. | 0.4 | 0.23 | 1.15 | 3.43 | 0. | 1.11 |
time (sec) |
N/A |
0.007 |
0.165 |
0.012 |
1.808 |
2.148 |
0. |
1.166 |
|
|
|
|
|
|
|
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Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 26 | 14 | 47 | 15 | 27 |
normalized size | 1 | 1. | 1. | 2.17 | 1.17 | 3.92 | 1.25 | 2.25 |
time (sec) |
N/A |
0.014 |
0.025 |
0.003 |
1.219 |
1.969 |
0.297 |
1.157 |
|
|
|
|
|
|
|
|
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|
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|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
C |
A |
B |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 0 | 59 | 42 | 169 | 597 | 0 | 163 |
normalized size | 1 | 0. | 0.4 | 0.29 | 1.15 | 4.06 | 0. | 1.11 |
time (sec) |
N/A |
0.024 |
0.159 |
0.027 |
1.901 |
2.199 |
0. |
1.185 |
|
|
|
|
|
|
|
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|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 0 | 40 | 44 | 26 | 55 | 0 | 22 |
normalized size | 1 | 0. | 2. | 2.2 | 1.3 | 2.75 | 0. | 1.1 |
time (sec) |
N/A |
0.024 |
0.153 |
0.027 |
1.621 |
2.095 |
0. |
1.206 |
|
|
|
|
|
|
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|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
A |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 0 | 86 | 42 | 54 | 140 | 0 | 53 |
normalized size | 1 | 0. | 1.83 | 0.89 | 1.15 | 2.98 | 0. | 1.13 |
time (sec) |
N/A |
0.068 |
0.104 |
0.019 |
1.541 |
1.885 |
0. |
1.18 |
|
|
|
|
|
|
|
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|
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|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 173 | 0 | 174 | 53 | 194 | 693 | 0 | 188 |
normalized size | 1 | 0. | 1.01 | 0.31 | 1.12 | 4.01 | 0. | 1.09 |
time (sec) |
N/A |
0.048 |
0.649 |
0.022 |
1.778 |
2.146 |
0. |
1.184 |
|
|
|
|
|
|
|
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|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 0 | 41 | 57 | 47 | 120 | 0 | 47 |
normalized size | 1 | 0. | 1.02 | 1.42 | 1.18 | 3. | 0. | 1.18 |
time (sec) |
N/A |
0.03 |
0.378 |
0.033 |
1.864 |
2.03 |
0. |
1.239 |
|
|
|
|
|
|
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|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
B |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 165 | 0 | 146 | 47 | 186 | 680 | 0 | 180 |
normalized size | 1 | 0. | 0.88 | 0.28 | 1.13 | 4.12 | 0. | 1.09 |
time (sec) |
N/A |
0.01 |
0.531 |
0.02 |
1.702 |
2.203 |
0. |
1.453 |
|
|
|
|
|
|
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|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 24 | 35 | 28 | 68 | 12 | 26 |
normalized size | 1 | 1. | 1.71 | 2.5 | 2. | 4.86 | 0.86 | 1.86 |
time (sec) |
N/A |
0.024 |
0.038 |
0.003 |
1.148 |
1.977 |
0.5 |
1.472 |
|
|
|
|
|
|
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|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
B |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 0 | 181 | 64 | 197 | 771 | 0 | 193 |
normalized size | 1 | 0. | 0.95 | 0.34 | 1.04 | 4.06 | 0. | 1.02 |
time (sec) |
N/A |
0.045 |
0.736 |
0.026 |
1.931 |
2.145 |
0. |
1.45 |
|
|
|
|
|
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|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
C |
A |
A |
F |
A |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 0 | 40 | 66 | 50 | 122 | 0 | 53 |
normalized size | 1 | 0. | 0.68 | 1.12 | 0.85 | 2.07 | 0. | 0.9 |
time (sec) |
N/A |
0.053 |
0.355 |
0.029 |
1.819 |
1.886 |
0. |
1.401 |
|
|
|
|
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|
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|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 0 | 47 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 0.78 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.09 |
0.036 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 0 | 168 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.13 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.069 |
0.364 |
0.027 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 0 | 218 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.24 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.074 |
0.817 |
0.033 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 0 | 259 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 3.28 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.023 |
1.907 |
0.106 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
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|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 0 | 126 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.27 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.114 |
2.978 |
0.03 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 0 | 76 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.49 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.047 |
2.904 |
0.033 |
0. |
0. |
0. |
0. |
|
|
|
|
|
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|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 0 | 121 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.14 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.053 |
2.904 |
0.029 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 0 | 177 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.12 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
4.096 |
0.03 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 0 | 177 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 0.93 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
3.17 |
0.029 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 0 | 171 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.8 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.016 |
1.544 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 0 | 171 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.8 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.011 |
1.775 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 0 | 171 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.8 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.018 |
1.782 |
0.052 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 0 | 127 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
2.15 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.042 |
7.671 |
0.894 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 0 | 136 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.16 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.03 |
7.56 |
0.784 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 0 | 122 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.22 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.024 |
7.585 |
0.783 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 0 | 126 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.38 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.011 |
8.558 |
0.717 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 24 | 56 | 32 | 205 | 36 | 99 |
normalized size | 1 | 1. | 0.96 | 2.24 | 1.28 | 8.2 | 1.44 | 3.96 |
time (sec) |
N/A |
0.02 |
0.046 |
0.004 |
1.086 |
2.146 |
5.9 |
1.37 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 0 | 126 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.14 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.029 |
3.212 |
0.796 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 0 | 120 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 2.14 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.029 |
3.121 |
0.818 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 0 | 159 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
1.2 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.086 |
8.162 |
0.809 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 0 | 169 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.23 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.06 |
7.78 |
0.317 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 0 | 155 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.18 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.043 |
7.733 |
0.098 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 0 | 163 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.28 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.014 |
8.807 |
0.099 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 51 | 80 | 49 | 197 | 70 | 50 |
normalized size | 1 | 1. | 1.82 | 2.86 | 1.75 | 7.04 | 2.5 | 1.79 |
time (sec) |
N/A |
0.029 |
0.078 |
0.006 |
1.396 |
2.148 |
14.908 |
1.515 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 0 | 162 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.2 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
3.416 |
0.102 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 0 | 159 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.17 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
3.377 |
0.109 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 67 | 410 | 1841 | 75 | 170 |
normalized size | 1 | 1. | 1. | 1.56 | 9.53 | 42.81 | 1.74 | 3.95 |
time (sec) |
N/A |
0.041 |
0.134 |
0.007 |
1.505 |
2.051 |
5.78 |
1.381 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 62 | 86 | 667 | 630 | 71 | 90 |
normalized size | 1 | 1. | 1.38 | 1.91 | 14.82 | 14. | 1.58 | 2. |
time (sec) |
N/A |
0.039 |
0.103 |
0.004 |
1.531 |
2.004 |
28.884 |
1.363 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 55 | 88 | 1119 | 5060 | 0 | 216 |
normalized size |
1 |
1. |
0.83 |
1.33 |
16.95 |
76.67 |
0. |
3.27 |
time (sec) |
N/A |
0.057 |
0.208 |
0.006 |
1.757 |
2.324 |
0. |
1.425 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 0 | 160 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 1.82 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.046 |
13.584 |
1.214 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 0 | 516 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
3.05 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.077 |
16.539 |
0.218 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 307 | 0 | 606 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
1.97 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.071 |
16.76 |
0.218 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
B |
F |
F |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 0 | 387 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 0. | 3.37 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.014 |
3.824 |
0.088 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 0 | 174 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
1.29 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.099 |
4.999 |
0.057 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 64 | 93 | 0 | 2091 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
1.27 |
0. |
28.64 |
0. |
0. |
time (sec) |
N/A |
0.053 |
0.285 |
0.023 |
0. |
2.235 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 57 | 92 | 0 | 1100 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
1.31 |
0. |
15.71 |
0. |
0. |
time (sec) |
N/A |
0.052 |
0.133 |
0.013 |
0. |
2.123 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 48 | 72 | 0 | 1000 | 66 | 0 |
normalized size |
1 |
1. |
1. |
1.5 |
0. |
20.83 |
1.38 |
0. |
time (sec) |
N/A |
0.041 |
0.076 |
0.015 |
0. |
2.115 |
3.235 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 47 | 44 | 0 | 999 | 66 | 0 |
normalized size | 1 | 1. | 1. | 0.94 | 0. | 21.26 | 1.4 | 0. |
time (sec) |
N/A |
0.04 |
0.109 |
0.017 |
0. |
2.069 |
7.105 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 44 | 93 | 0 | 2088 | 0 | 0 |
normalized size | 1 | 1. | 0.62 | 1.31 | 0. | 29.41 | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.158 |
0.017 |
0. |
2.1 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 46 | 92 | 0 | 3644 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
1.28 |
0. |
50.61 |
0. |
0. |
time (sec) |
N/A |
0.05 |
0.203 |
0.016 |
0. |
2.216 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 136 | 149 | 0 | 24521 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 1.1 | 0. | 181.64 | 0. | 0. |
time (sec) |
N/A |
0.358 |
1.305 |
0.168 |
0. |
15.786 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 105 | 90 | 0 | 18436 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0.86 |
0. |
175.58 |
0. |
0. |
time (sec) |
N/A |
0.225 |
0.074 |
0.057 |
0. |
12.276 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 58 | 52 | 0 | 4811 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0.9 |
0. |
82.95 |
0. |
0. |
time (sec) |
N/A |
0.12 |
0.032 |
0.075 |
0. |
8.646 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 109 | 0 | 0 | 18421 | 0 | 0 |
normalized size | 1 | 1. | 1.03 | 0. | 0. | 173.78 | 0. | 0. |
time (sec) |
N/A |
0.249 |
0.328 |
0.218 |
0. |
12.137 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 183 | 142 | 0 | 0 | 24602 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
0. |
0. |
134.44 |
0. |
0. |
time (sec) |
N/A |
0.337 |
0.576 |
0.193 |
0. |
15.907 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 131 | 559 | 0 | 22316 | 0 | 0 |
normalized size | 1 | 1. | 0.99 | 4.23 | 0. | 169.06 | 0. | 0. |
time (sec) |
N/A |
0.231 |
0.324 |
0.082 |
0. |
20.853 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 76 | 143 | 127 | 1685 | 0 | 92 |
normalized size | 1 | 1. | 0.71 | 1.34 | 1.19 | 15.75 | 0. | 0.86 |
time (sec) |
N/A |
0.069 |
0.132 |
0.013 |
1.575 |
2.24 |
0. |
1.804 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 60 | 102 | 93 | 956 | 0 | 70 |
normalized size | 1 | 1. | 0.78 | 1.32 | 1.21 | 12.42 | 0. | 0.91 |
time (sec) |
N/A |
0.05 |
0.089 |
0.012 |
1.583 |
2.111 |
0. |
2.134 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 40 | 56 | 63 | 433 | 0 | 55 |
normalized size | 1 | 1. | 0.78 | 1.1 | 1.24 | 8.49 | 0. | 1.08 |
time (sec) |
N/A |
0.035 |
0.088 |
0.007 |
1.592 |
1.986 |
0. |
2.209 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
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 | 25 | 25 | 22 | 34 | 31 | 105 | 0 | 31 |
normalized size | 1 | 1. | 0.88 | 1.36 | 1.24 | 4.2 | 0. | 1.24 |
time (sec) |
N/A |
0.015 |
0.014 |
0.01 |
1.615 |
1.921 |
0. |
1.526 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 22 | 27 | 51 | 158 | 0 | 43 |
normalized size | 1 | 1. | 0.88 | 1.08 | 2.04 | 6.32 | 0. | 1.72 |
time (sec) |
N/A |
0.017 |
0.017 |
0.011 |
1.039 |
2.046 |
0. |
1.604 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 179 | 47 | 84 | 585 | 0 | 76 |
normalized size | 1 | 1. | 3.38 | 0.89 | 1.58 | 11.04 | 0. | 1.43 |
time (sec) |
N/A |
0.038 |
1.721 |
0.01 |
1.042 |
2.067 |
0. |
1.291 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 286 | 88 | 119 | 1291 | 0 | 97 |
normalized size |
1 |
1. |
3.53 |
1.09 |
1.47 |
15.94 |
0. |
1.2 |
time (sec) |
N/A |
0.052 |
2.454 |
0.017 |
1.05 |
2.051 |
0. |
1.227 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 115 | 123 | 149 | 2221 | 0 | 112 |
normalized size |
1 |
1. |
1.02 |
1.09 |
1.32 |
19.65 |
0. |
0.99 |
time (sec) |
N/A |
0.072 |
10.105 |
0.014 |
1.166 |
2.117 |
0. |
1.291 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 48 | 35 | 120 | 510 | 0 | 120 |
normalized size | 1 | 1. | 0.42 | 0.31 | 1.06 | 4.51 | 0. | 1.06 |
time (sec) |
N/A |
0.087 |
0.043 |
0.059 |
1.576 |
2.295 |
0. |
1.208 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 95 | 24 | 105 | 360 | 0 | 105 |
normalized size | 1 | 1. | 1. | 0.25 | 1.11 | 3.79 | 0. | 1.11 |
time (sec) |
N/A |
0.062 |
0.03 |
0.052 |
1.588 |
2.435 |
0. |
1.275 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 36 | 30 | 154 | 0 | 31 |
normalized size | 1 | 1. | 1. | 2.25 | 1.88 | 9.62 | 0. | 1.94 |
time (sec) |
N/A |
0.014 |
0.012 |
0.063 |
1.532 |
2.389 |
0. |
1.283 |
|
|
|
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Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 113 | 48 | 46 | 837 | 0 | 47 |
normalized size | 1 | 1. | 3.23 | 1.37 | 1.31 | 23.91 | 0. | 1.34 |
time (sec) |
N/A |
0.029 |
1.466 |
0.072 |
1.544 |
2.361 |
0. |
1.268 |
|
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Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 97 | 59 | 109 | 490 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 0.52 | 0.96 | 4.34 | 0. | 0. |
time (sec) |
N/A |
0.212 |
0.076 |
0.106 |
1.57 |
2.314 |
0. |
0. |
|
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Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 24 | 47 | 93 | 350 | 0 | 0 |
normalized size | 1 | 1. | 0.25 | 0.48 | 0.96 | 3.61 | 0. | 0. |
time (sec) |
N/A |
0.186 |
0.012 |
0.071 |
1.59 |
2.299 |
0. |
0. |
|
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Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 22 | 138 | 101 | 454 | 0 | 103 |
normalized size | 1 | 1. | 0.26 | 1.62 | 1.19 | 5.34 | 0. | 1.21 |
time (sec) |
N/A |
0.122 |
0.015 |
0.076 |
1.605 |
2.16 |
0. |
1.205 |
|
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Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 113 | 150 | 117 | 2221 | 0 | 119 |
normalized size | 1 | 1. | 1.05 | 1.39 | 1.08 | 20.56 | 0. | 1.1 |
time (sec) |
N/A |
0.147 |
1.716 |
0.1 |
1.643 |
2.165 |
0. |
1.29 |
|
|
|
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Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 382 | 382 | 51 | 36 | 0 | 4162 | 0 | 355 |
normalized size | 1 | 1. | 0.13 | 0.09 | 0. | 10.9 | 0. | 0.93 |
time (sec) |
N/A |
0.405 |
0.048 |
0.095 |
0. |
2.643 |
0. |
1.332 |
|
|
|
|
|
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Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 366 | 366 | 24 | 24 | 0 | 3330 | 0 | 339 |
normalized size | 1 | 1. | 0.07 | 0.07 | 0. | 9.1 | 0. | 0.93 |
time (sec) |
N/A |
0.244 |
0.012 |
0.059 |
0. |
2.396 |
0. |
1.448 |
|
|
|
|
|
|
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|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 22 | 56 | 131 | 447 | 0 | 132 |
normalized size | 1 | 1. | 0.19 | 0.48 | 1.13 | 3.85 | 0. | 1.14 |
time (sec) |
N/A |
0.078 |
0.016 |
0.07 |
1.692 |
2.109 |
0. |
1.304 |
|
|
|
|
|
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|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 113 | 68 | 147 | 637 | 0 | 149 |
normalized size | 1 | 1. | 0.84 | 0.51 | 1.1 | 4.75 | 0. | 1.11 |
time (sec) |
N/A |
0.101 |
1.645 |
0.105 |
1.779 |
2.332 |
0. |
1.506 |
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 81 | 70 | 0 | 1037 | 0 | 443 |
normalized size |
1 |
1. |
0.76 |
0.65 |
0. |
9.69 |
0. |
4.14 |
time (sec) |
N/A |
0.126 |
0.077 |
0.17 |
0. |
2.258 |
0. |
1.29 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 107 | 476 | 0 | 2920 | 0 | 616 |
normalized size |
1 |
1. |
0.7 |
3.13 |
0. |
19.21 |
0. |
4.05 |
time (sec) |
N/A |
0.176 |
0.139 |
0.194 |
0. |
2.348 |
0. |
1.271 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 228 |
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 | 167 | 167 | 205 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.23 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.188 |
4.129 |
0.105 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
Problem 229 |
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 | 117 | 117 | 169 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.44 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.127 |
3.257 |
0.068 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 141 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.1 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.071 |
1.808 |
0.045 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 134 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.06 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.071 |
2.388 |
0.059 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 232 |
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 | 113 | 113 | 145 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.28 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.126 |
3.047 |
0.073 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 233 |
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 | 161 | 161 | 185 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.15 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.176 |
3.313 |
0.113 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 311 | 311 | 133 | 324 | 196 | 3186 | 0 | 248 |
normalized size |
1 |
1. |
0.43 |
1.04 |
0.63 |
10.24 |
0. |
0.8 |
time (sec) |
N/A |
0.902 |
0.217 |
0.277 |
1.704 |
2.118 |
0. |
1.333 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 193 | 193 | 104 | 301 | 122 | 1175 | 0 | 174 |
normalized size |
1 |
1. |
0.54 |
1.56 |
0.63 |
6.09 |
0. |
0.9 |
time (sec) |
N/A |
0.28 |
0.155 |
0.185 |
1.771 |
2.151 |
0. |
1.274 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 51 | 218 | 47 | 132 | 0 | 81 |
normalized size |
1 |
1. |
0.61 |
2.63 |
0.57 |
1.59 |
0. |
0.98 |
time (sec) |
N/A |
0.15 |
0.052 |
0.23 |
1.774 |
1.994 |
0. |
1.23 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 51 | 213 | 76 | 196 | 0 | 119 |
normalized size | 1 | 1. | 0.61 | 2.57 | 0.92 | 2.36 | 0. | 1.43 |
time (sec) |
N/A |
0.199 |
0.123 |
0.227 |
1.772 |
2.035 |
0. |
1.302 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 197 | 197 | 334 | 298 | 151 | 1574 | 0 | 217 |
normalized size |
1 |
1. |
1.7 |
1.51 |
0.77 |
7.99 |
0. |
1.1 |
time (sec) |
N/A |
0.865 |
7.586 |
0.193 |
1.752 |
2.007 |
0. |
1.507 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 319 | 319 | 164 | 320 | 225 | 4176 | 0 | 290 |
normalized size |
1 |
1. |
0.51 |
1. |
0.71 |
13.09 |
0. |
0.91 |
time (sec) |
N/A |
1.77 |
10.657 |
0.197 |
1.682 |
2.216 |
0. |
1.648 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 157 | 157 | 124 | 118 | 0 | 929 | 0 | 0 |
normalized size | 1 | 1. | 0.79 | 0.75 | 0. | 5.92 | 0. | 0. |
time (sec) |
N/A |
0.395 |
0.214 |
0.026 |
0. |
2.341 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 88 | 102 | 0 | 474 | 0 | 0 |
normalized size | 1 | 1. | 0.77 | 0.89 | 0. | 4.12 | 0. | 0. |
time (sec) |
N/A |
0.266 |
0.141 |
0.023 |
0. |
2.211 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 59 | 58 | 0 | 464 | 0 | 0 |
normalized size | 1 | 1. | 0.77 | 0.75 | 0. | 6.03 | 0. | 0. |
time (sec) |
N/A |
0.146 |
0.125 |
0.017 |
0. |
2.201 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.077 |
2.634 |
0.239 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 157 | 157 | 124 | 118 | 0 | 929 | 0 | 0 |
normalized size | 1 | 1. | 0.79 | 0.75 | 0. | 5.92 | 0. | 0. |
time (sec) |
N/A |
0.373 |
0.263 |
0.023 |
0. |
2.511 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 88 | 102 | 0 | 474 | 0 | 0 |
normalized size | 1 | 1. | 0.77 | 0.89 | 0. | 4.12 | 0. | 0. |
time (sec) |
N/A |
0.25 |
0.158 |
0.022 |
0. |
2.202 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 62 | 58 | 0 | 463 | 0 | 0 |
normalized size | 1 | 1. | 0.81 | 0.75 | 0. | 6.01 | 0. | 0. |
time (sec) |
N/A |
0.139 |
0.104 |
0.02 |
0. |
2.18 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.077 |
4.66 |
0.095 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [224] had the largest ratio of [ 1.5
]
|
|
|
|
|
|
|
| Table 2.1Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
4 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
2 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
3 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
4 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
5 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
6 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
7 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
8 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
9 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
10 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
11 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
12 |
A |
4 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
13 |
A |
7 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
14 |
A |
6 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
15 |
A |
6 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
16 |
A |
5 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
17 |
A |
5 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
18 |
A |
6 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
19 |
A |
6 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
20 |
A |
7 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
|
21 |
A |
9 |
9 |
1. |
8 |
1.125 |
|
|
|
|
|
|
|
22 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
23 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
24 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
25 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
26 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
27 |
A |
4 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
28 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
29 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
30 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
31 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
32 |
A |
4 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
33 |
A |
7 |
7 |
1. |
8 |
0.875 |
|
|
|
|
|
|
|
34 |
A |
8 |
7 |
1. |
10 |
0.7 |
|
|
|
|
|
|
|
35 |
A |
7 |
7 |
1. |
10 |
0.7 |
|
|
|
|
|
|
|
36 |
A |
7 |
7 |
1. |
10 |
0.7 |
|
|
|
|
|
|
|
37 |
A |
5 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
38 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
39 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
40 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
|
41 |
A |
5 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
42 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
43 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
44 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
45 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
46 |
A |
3 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
47 |
A |
4 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
48 |
A |
5 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
49 |
A |
6 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
50 |
A |
5 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
51 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
52 |
A |
3 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
53 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
54 |
A |
3 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
55 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
56 |
A |
5 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
57 |
A |
5 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
58 |
A |
4 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
59 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
60 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
|
61 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
62 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
63 |
A |
4 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
64 |
A |
5 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
65 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
66 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
67 |
A |
5 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
68 |
A |
5 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
69 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
70 |
A |
9 |
7 |
1. |
11 |
0.636 |
|
|
|
|
|
|
|
71 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
72 |
A |
8 |
6 |
1. |
9 |
0.667 |
|
|
|
|
|
|
|
73 |
A |
8 |
7 |
1. |
9 |
0.778 |
|
|
|
|
|
|
|
74 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
75 |
A |
8 |
7 |
1. |
11 |
0.636 |
|
|
|
|
|
|
|
76 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
77 |
A |
9 |
8 |
1. |
11 |
0.727 |
|
|
|
|
|
|
|
78 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
79 |
A |
10 |
8 |
1. |
11 |
0.727 |
|
|
|
|
|
|
|
80 |
A |
5 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
|
81 |
A |
10 |
9 |
1. |
13 |
0.692 |
|
|
|
|
|
|
|
82 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
83 |
A |
6 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
84 |
A |
6 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
85 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
86 |
A |
15 |
11 |
1. |
13 |
0.846 |
|
|
|
|
|
|
|
87 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
88 |
A |
29 |
13 |
1. |
13 |
1. |
|
|
|
|
|
|
|
89 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
90 |
A |
6 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
91 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
92 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
93 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
94 |
A |
2 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
95 |
A |
1 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
96 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
97 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
98 |
A |
2 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
99 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
100 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
|
101 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
102 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
103 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
104 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
105 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
106 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
107 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
108 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
109 |
A |
14 |
6 |
1.19 |
13 |
0.462 |
|
|
|
|
|
|
|
110 |
A |
9 |
6 |
1.07 |
13 |
0.462 |
|
|
|
|
|
|
|
111 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
112 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
113 |
A |
5 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
114 |
A |
9 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
115 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
116 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
117 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
118 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
119 |
A |
2 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
120 |
A |
2 |
2 |
1. |
6 |
0.333 |
|
|
|
|
|
|
|
|
121 |
A |
4 |
4 |
1. |
9 |
0.444 |
|
|
|
|
|
|
|
122 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
123 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
124 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
125 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
126 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
127 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
128 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
129 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
130 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
131 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
132 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
133 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
134 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
135 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
136 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
137 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
138 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
139 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
140 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
|
141 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
142 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
143 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
144 |
A |
9 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
145 |
A |
11 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
146 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
147 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
148 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
149 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
150 |
A |
2 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
151 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
152 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
153 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
154 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
155 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
156 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
157 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
158 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
159 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
160 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
|
161 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
162 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
163 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
164 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
165 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
166 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
167 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
168 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
169 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
170 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
171 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
172 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
173 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
174 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
175 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
176 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
177 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
178 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
179 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
180 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
|
181 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
182 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
183 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
184 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
185 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
186 |
A |
3 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
187 |
A |
4 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
188 |
A |
4 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
189 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
190 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
191 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
192 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
193 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
194 |
A |
7 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
195 |
A |
7 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
196 |
A |
6 |
5 |
1. |
19 |
0.263 |
|
|
|
|
|
|
|
197 |
A |
6 |
5 |
1. |
19 |
0.263 |
|
|
|
|
|
|
|
198 |
A |
7 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
199 |
A |
7 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
200 |
A |
8 |
7 |
1. |
23 |
0.304 |
|
|
|
|
|
|
|
|
201 |
A |
7 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
202 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
203 |
A |
8 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
204 |
A |
11 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
205 |
A |
8 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
206 |
A |
7 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
207 |
A |
7 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
208 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
209 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
210 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
211 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
212 |
A |
7 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
213 |
A |
7 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
214 |
A |
13 |
9 |
1. |
10 |
0.9 |
|
|
|
|
|
|
|
215 |
A |
11 |
8 |
1. |
8 |
1. |
|
|
|
|
|
|
|
216 |
A |
5 |
5 |
1. |
8 |
0.625 |
|
|
|
|
|
|
|
217 |
A |
7 |
6 |
1. |
10 |
0.6 |
|
|
|
|
|
|
|
218 |
A |
14 |
9 |
1. |
10 |
0.9 |
|
|
|
|
|
|
|
219 |
A |
12 |
8 |
1. |
8 |
1. |
|
|
|
|
|
|
|
220 |
A |
12 |
8 |
1. |
8 |
1. |
|
|
|
|
|
|
|
|
221 |
A |
14 |
9 |
1. |
10 |
0.9 |
|
|
|
|
|
|
|
222 |
A |
23 |
9 |
1. |
10 |
0.9 |
|
|
|
|
|
|
|
223 |
A |
21 |
8 |
1. |
8 |
1. |
|
|
|
|
|
|
|
224 |
A |
15 |
12 |
1. |
8 |
1.5 |
|
|
|
|
|
|
|
225 |
A |
17 |
13 |
1. |
10 |
1.3 |
|
|
|
|
|
|
|
226 |
A |
5 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
227 |
A |
7 |
6 |
1. |
14 |
0.429 |
|
|
|
|
|
|
|
228 |
A |
6 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
229 |
A |
5 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
230 |
A |
4 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
231 |
A |
4 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
232 |
A |
5 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
233 |
A |
6 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
234 |
A |
9 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
235 |
A |
8 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
236 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
237 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
238 |
A |
8 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
239 |
A |
9 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
240 |
A |
19 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
|
241 |
A |
13 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
242 |
A |
9 |
4 |
1. |
7 |
0.571 |
|
|
|
|
|
|
|
243 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
244 |
A |
19 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
245 |
A |
13 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
246 |
A |
9 |
4 |
1. |
7 |
0.571 |
|
|
|
|
|
|
|
247 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|