Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193
}
B grade: { }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193
}
B grade: { }
C grade: { }
F grade: { }
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 45, 46, 47, 53, 69, 77, 85, 92, 98, 118, 125, 132, 139, 146,
171, 179, 187 }
B grade: { 54, 61 }
C grade: { 43, 44, 48, 49, 50, 51, 52, 55, 56, 57, 58, 59, 60, 62, 63, 64, 68, 76, 84, 89, 90, 91, 93, 94, 95, 96,
97, 99, 100, 110, 149, 150, 151, 152, 156, 157, 158 }
F grade: { 65, 66, 67, 70, 71, 72, 73, 74, 75, 78, 79, 80, 81, 82, 83, 86, 87, 88, 101, 102, 103, 104, 105, 106,
107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131,
133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145, 147, 148, 153, 154, 155, 159, 160, 161, 162, 163,
164, 165, 166, 167, 168, 169, 170, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 186, 188,
189, 190, 191, 192, 193 }
2.1.4 Maxima
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, 69, 77, 85, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 118, 125, 132, 139, 146, 151,
152, 156, 157, 158, 171, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190
}
B grade: { 149, 150 }
C grade: { }
F grade: { 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 101, 102, 103,
104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 126, 127,
128, 129, 130, 131, 133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145, 147, 148, 153, 154, 155, 159,
160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 172, 173, 174, 175, 183, 191, 192, 193
}
2.1.5 FriCAS
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, 53, 55, 56, 65,
66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99,
100, 118, 132, 139, 149, 152, 153, 154, 156, 157, 158, 159, 160, 161, 170, 171, 178, 179, 187
}
B grade: { 50, 51, 52, 54, 57, 58, 59, 60, 61, 62, 63, 64, 81, 82, 83, 84, 85, 86, 87, 88, 95, 125, 146, 150,
151, 155 }
C grade: { }
F grade: { 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 119, 120,
121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145,
147, 148, 162, 163, 164, 165, 166, 167, 168, 169, 172, 173, 174, 175, 176, 177, 180, 181, 182, 183, 184, 185,
186, 188, 189, 190, 191, 192, 193 }
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 26, 32, 33, 39, 40, 43, 44,
45, 46, 47, 48, 49, 54, 69, 77, 85, 90, 91, 92, 93, 94, 118, 125, 132, 139, 149, 150, 151, 152, 156, 157, 158,
171, 179, 187 }
B grade: { 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 96, 97, 98, 99, 100 }
C grade: { }
F grade: { 22, 23, 24, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 41, 42, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76,
78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 95, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,
114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 133, 134, 135, 136, 137, 138,
140, 141, 142, 143, 144, 145, 146, 147, 148, 153, 154, 155, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168,
169, 170, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 186, 188, 189, 190, 191, 192, 193
}
2.1.7 Giac
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 31,
32, 33, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 48, 49, 55, 56, 65, 66, 67, 68, 77, 85, 92, 93, 98, 105, 118, 132,
139, 146, 157, 158, 171, 179, 187 }
B grade: { 50, 51, 52, 53, 54, 57, 58, 59, 60, 61, 62, 63, 64, 69, 73, 74, 75, 76, 81, 82, 83, 84, 94, 99, 100,
111, 125, 149, 150, 151, 152, 156 }
C grade: { 89, 90, 91, 95, 96, 97 }
F grade: { 27, 28, 34, 35, 41, 42, 70, 71, 72, 78, 79, 80, 86, 87, 88, 101, 102, 103, 104, 106, 107, 108, 109,
110, 112, 113, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 133, 134, 135,
136, 137, 138, 140, 141, 142, 143, 144, 145, 147, 148, 153, 154, 155, 159, 160, 161, 162, 163, 164, 165, 166,
167, 168, 169, 170, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 186, 188, 189, 190, 191,
192, 193 }
2.1.8 Mupad
A grade: { }
B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 26, 32, 33, 39, 40, 43, 44,
45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 69, 77, 85, 118, 125, 132, 139,
146, 171, 179, 187 }
C grade: { }
F grade: { 22, 23, 24, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 41, 42, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76,
78, 79, 80, 81, 82, 83, 84, 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, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129,
130, 131, 133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152,
153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 172,
173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 186, 188, 189, 190, 191, 192, 193
}
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 14 | 15 | 11 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.79 | 0.58 |
time (sec) |
N/A |
0.008 |
0.001 |
0.028 |
0.494 |
0.413 |
0.171 |
0.302 |
0.041 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 14 | 15 | 11 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.79 | 0.58 |
time (sec) |
N/A |
0.007 |
0.001 |
0.031 |
0.613 |
0.433 |
0.105 |
0.264 |
0.029 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 14 | 15 | 11 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.79 | 0.58 |
time (sec) |
N/A |
0.004 |
0.001 |
0.030 |
0.564 |
0.416 |
0.101 |
0.216 |
0.032 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 11 | 16 | 10 | 7 | 16 | 8 |
normalized size | 1 | 1.00 | 1.00 | 1.10 | 1.60 | 1.00 | 0.70 | 1.60 | 0.80 |
time (sec) |
N/A |
0.001 |
0.001 |
0.023 |
0.560 |
0.400 |
0.088 |
0.233 |
0.020 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 9 | 8 | 8 | 7 | 8 | 8 |
normalized size | 1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.70 | 0.80 | 0.80 |
time (sec) |
N/A |
0.006 |
0.001 |
0.023 |
0.679 |
0.406 |
0.090 |
0.198 |
3.601 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 16 | 15 | 11 | 10 | 15 | 11 |
normalized size | 1 | 1.00 | 1.00 | 1.07 | 1.00 | 0.73 | 0.67 | 1.00 | 0.73 |
time (sec) |
N/A |
0.007 |
0.001 |
0.033 |
0.533 |
0.416 |
0.097 |
0.209 |
3.476 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 16 | 15 | 13 | 17 | 15 | 11 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.68 | 0.89 | 0.79 | 0.58 |
time (sec) |
N/A |
0.007 |
0.001 |
0.030 |
0.542 |
0.396 |
0.105 |
0.201 |
0.024 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 27 | 21 | 26 | 26 | 26 | 21 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.66 | 0.81 | 0.81 | 0.81 | 0.66 |
time (sec) |
N/A |
0.020 |
0.001 |
0.030 |
0.601 |
0.395 |
0.117 |
0.211 |
3.605 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 27 | 21 | 26 | 29 | 26 | 21 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.66 | 0.81 | 0.91 | 0.81 | 0.66 |
time (sec) |
N/A |
0.020 |
0.002 |
0.028 |
0.591 |
0.413 |
0.114 |
0.198 |
3.546 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 27 | 21 | 26 | 26 | 26 | 21 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.66 | 0.81 | 0.81 | 0.81 | 0.66 |
time (sec) |
N/A |
0.011 |
0.001 |
0.029 |
0.513 |
0.425 |
0.108 |
0.211 |
3.491 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 20 | 16 | 19 | 19 | 19 | 16 |
normalized size | 1 | 1.00 | 1.00 | 1.05 | 0.84 | 1.00 | 1.00 | 1.00 | 0.84 |
time (sec) |
N/A |
0.005 |
0.001 |
0.031 |
0.479 |
0.401 |
0.098 |
0.177 |
3.589 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 9 | 8 | 8 | 7 | 8 | 8 |
normalized size | 1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.70 | 0.80 | 0.80 |
time (sec) |
N/A |
0.012 |
0.001 |
0.024 |
0.549 |
0.420 |
0.092 |
0.196 |
3.396 |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 27 | 19 | 19 | 20 | 26 | 19 |
normalized size | 1 | 1.00 | 1.00 | 1.04 | 0.73 | 0.73 | 0.77 | 1.00 | 0.73 |
time (sec) |
N/A |
0.020 |
0.001 |
0.032 |
0.530 |
0.450 |
0.118 |
0.187 |
3.586 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 27 | 21 | 21 | 29 | 26 | 21 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.66 | 0.66 | 0.91 | 0.81 | 0.66 |
time (sec) |
N/A |
0.019 |
0.001 |
0.031 |
0.500 |
0.430 |
0.126 |
0.208 |
3.380 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 45 | 38 | 29 | 37 | 42 | 37 | 29 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.64 | 0.82 | 0.93 | 0.82 | 0.64 |
time (sec) |
N/A |
0.036 |
0.002 |
0.030 |
0.545 |
0.416 |
0.131 |
0.212 |
3.289 |
|
|
|
|
|
|
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|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 45 | 38 | 29 | 37 | 41 | 37 | 29 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.64 | 0.82 | 0.91 | 0.82 | 0.64 |
time (sec) |
N/A |
0.031 |
0.002 |
0.028 |
0.506 |
0.395 |
0.133 |
0.174 |
3.559 |
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 45 | 38 | 29 | 37 | 42 | 37 | 29 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.64 | 0.82 | 0.93 | 0.82 | 0.64 |
time (sec) |
N/A |
0.018 |
0.001 |
0.031 |
0.500 |
0.414 |
0.127 |
0.216 |
3.475 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 29 | 24 | 28 | 29 | 28 | 24 |
normalized size | 1 | 1.00 | 1.00 | 1.04 | 0.86 | 1.00 | 1.04 | 1.00 | 0.86 |
time (sec) |
N/A |
0.008 |
0.001 |
0.029 |
0.480 |
0.397 |
0.110 |
0.203 |
3.556 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 9 | 8 | 8 | 7 | 8 | 8 |
normalized size | 1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.70 | 0.80 | 0.80 |
time (sec) |
N/A |
0.011 |
0.001 |
0.025 |
0.487 |
0.436 |
0.091 |
0.200 |
3.527 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 37 | 38 | 27 | 27 | 31 | 37 | 27 |
normalized size | 1 | 1.00 | 1.00 | 1.03 | 0.73 | 0.73 | 0.84 | 1.00 | 0.73 |
time (sec) |
N/A |
0.034 |
0.002 |
0.030 |
0.518 |
0.411 |
0.134 |
0.197 |
3.459 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 45 | 38 | 29 | 29 | 44 | 37 | 29 |
normalized size | 1 | 1.00 | 1.00 | 0.84 | 0.64 | 0.64 | 0.98 | 0.82 | 0.64 |
time (sec) |
N/A |
0.033 |
0.002 |
0.033 |
0.572 |
0.427 |
0.144 |
0.216 |
3.600 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 11 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 1.00 | -0.09 |
time (sec) |
N/A |
0.024 |
0.015 |
0.037 |
0.958 |
0.455 |
0.000 |
0.203 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 11 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 1.00 | -0.09 |
time (sec) |
N/A |
0.023 |
0.015 |
0.035 |
0.872 |
0.416 |
0.000 |
0.243 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 11 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 1.00 | -0.09 |
time (sec) |
N/A |
0.017 |
0.013 |
0.036 |
0.932 |
0.402 |
0.000 |
0.162 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 14 | 9 | 8 | 5 | 9 | 8 |
normalized size | 1 | 1.00 | 1.00 | 1.75 | 1.12 | 1.00 | 0.62 | 1.12 | 1.00 |
time (sec) |
N/A |
0.003 |
0.005 |
0.034 |
0.892 |
0.401 |
0.479 |
0.184 |
3.428 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 5 | 5 | 5 | 6 | 5 | 5 | 5 | 5 | 5 |
normalized size | 1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A |
0.012 |
0.005 |
0.025 |
0.685 |
0.422 |
0.105 |
0.214 |
3.538 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 9 | 10 | 9 | 10 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.11 | 1.00 | 1.11 | 0.00 | 0.00 | -0.11 |
time (sec) |
N/A |
0.024 |
0.014 |
0.036 |
0.709 |
0.415 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 0.00 | -0.09 |
time (sec) |
N/A |
0.024 |
0.015 |
0.037 |
0.897 |
0.422 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 24 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 1.00 | -0.04 |
time (sec) |
N/A |
0.038 |
0.015 |
0.033 |
0.768 |
0.416 |
0.000 |
0.194 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 24 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 1.00 | -0.04 |
time (sec) |
N/A |
0.037 |
0.017 |
0.030 |
0.957 |
0.402 |
0.000 |
0.188 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 24 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 1.00 | -0.04 |
time (sec) |
N/A |
0.026 |
0.014 |
0.033 |
0.819 |
0.429 |
0.000 |
0.203 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 24 | 12 | 25 | 12 | 19 | 18 |
normalized size | 1 | 1.00 | 1.00 | 1.33 | 0.67 | 1.39 | 0.67 | 1.06 | 1.00 |
time (sec) |
N/A |
0.005 |
0.004 |
0.032 |
0.909 |
0.410 |
0.504 |
0.203 |
3.343 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 9 | 8 | 8 | 7 | 8 | 8 |
normalized size | 1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.00 | 0.88 | 1.00 | 1.00 |
time (sec) |
N/A |
0.012 |
0.001 |
0.025 |
0.644 |
0.421 |
0.089 |
0.200 |
3.557 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 21 | 9 | 28 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.95 | 0.41 | 1.27 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.035 |
0.016 |
0.033 |
0.835 |
0.399 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A |
0.037 |
0.015 |
0.032 |
0.835 |
0.399 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 37 | 37 | 13 | 47 | 0 | 35 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.00 | 0.35 | 1.27 | 0.00 | 0.95 | -0.03 |
time (sec) |
N/A |
0.052 |
0.018 |
0.030 |
0.839 |
0.422 |
0.000 |
0.232 |
0.000 |
|
|
|
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Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 37 | 13 | 47 | 0 | 35 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.90 | 0.32 | 1.15 | 0.00 | 0.85 | -0.02 |
time (sec) |
N/A |
0.053 |
0.015 |
0.032 |
0.874 |
0.595 |
0.000 |
0.219 |
0.000 |
|
|
|
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Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 37 | 37 | 13 | 47 | 0 | 35 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.00 | 0.35 | 1.27 | 0.00 | 0.95 | -0.03 |
time (sec) |
N/A |
0.031 |
0.005 |
0.031 |
0.851 |
0.418 |
0.000 |
0.216 |
0.000 |
|
|
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Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 34 | 33 | 13 | 34 | 26 | 29 | 29 |
normalized size | 1 | 1.00 | 1.00 | 0.97 | 0.38 | 1.00 | 0.76 | 0.85 | 0.85 |
time (sec) |
N/A |
0.009 |
0.006 |
0.031 |
0.788 |
0.395 |
0.503 |
0.223 |
3.534 |
|
|
|
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Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 9 | 8 | 8 | 10 | 8 | 8 |
normalized size | 1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 1.00 | 0.80 | 0.80 |
time (sec) |
N/A |
0.012 |
0.001 |
0.025 |
0.508 |
0.408 |
0.092 |
0.198 |
3.450 |
|
|
|
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Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 33 | 9 | 34 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.85 | 0.23 | 0.87 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.050 |
0.015 |
0.030 |
0.950 |
0.404 |
0.000 |
0.000 |
0.000 |
|
|
|
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|
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Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 36 | 13 | 41 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.00 | 0.36 | 1.14 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.049 |
0.018 |
0.032 |
0.809 |
0.414 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 32 | 112 | 26 | 30 | 36 | 31 | 25 |
normalized size | 1 | 1.00 | 1.19 | 4.15 | 0.96 | 1.11 | 1.33 | 1.15 | 0.93 |
time (sec) |
N/A |
0.013 |
0.002 |
0.224 |
0.496 |
0.413 |
1.365 |
0.232 |
3.588 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 32 | 112 | 26 | 30 | 36 | 31 | 25 |
normalized size | 1 | 1.00 | 1.19 | 4.15 | 0.96 | 1.11 | 1.33 | 1.15 | 0.93 |
time (sec) |
N/A |
0.012 |
0.001 |
0.175 |
0.547 |
0.421 |
0.780 |
0.288 |
3.361 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 32 | 29 | 26 | 30 | 36 | 31 | 25 |
normalized size | 1 | 1.00 | 1.19 | 1.07 | 0.96 | 1.11 | 1.33 | 1.15 | 0.93 |
time (sec) |
N/A |
0.007 |
0.001 |
0.048 |
0.608 |
0.449 |
0.465 |
0.251 |
3.264 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 19 | 18 | 22 | 19 | 20 | 18 |
normalized size | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.22 | 1.06 | 1.11 | 1.00 |
time (sec) |
N/A |
0.006 |
0.001 |
0.031 |
0.585 |
0.435 |
0.249 |
0.272 |
3.497 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 21 | 27 | 20 | 18 | 34 | 19 | 19 |
normalized size | 1 | 1.00 | 0.95 | 1.23 | 0.91 | 0.82 | 1.55 | 0.86 | 0.86 |
time (sec) |
N/A |
0.012 |
0.001 |
0.026 |
0.441 |
0.451 |
8.603 |
0.218 |
3.407 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 26 | 112 | 26 | 19 | 24 | 24 | 23 |
normalized size | 1 | 1.00 | 1.13 | 4.87 | 1.13 | 0.83 | 1.04 | 1.04 | 1.00 |
time (sec) |
N/A |
0.013 |
0.001 |
0.118 |
0.545 |
0.462 |
0.456 |
0.253 |
3.558 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 32 | 111 | 26 | 23 | 37 | 27 | 26 |
normalized size | 1 | 1.00 | 1.19 | 4.11 | 0.96 | 0.85 | 1.37 | 1.00 | 0.96 |
time (sec) |
N/A |
0.013 |
0.001 |
0.114 |
0.533 |
0.430 |
0.938 |
0.253 |
3.490 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 43 | 691 | 71 | 102 | 131 | 111 | 61 |
normalized size | 1 | 1.00 | 0.83 | 13.29 | 1.37 | 1.96 | 2.52 | 2.13 | 1.17 |
time (sec) |
N/A |
0.036 |
0.018 |
0.209 |
0.507 |
0.421 |
2.403 |
0.395 |
3.605 |
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 46 | 692 | 71 | 103 | 143 | 111 | 62 |
normalized size | 1 | 1.00 | 0.88 | 13.31 | 1.37 | 1.98 | 2.75 | 2.13 | 1.19 |
time (sec) |
N/A |
0.037 |
0.021 |
0.209 |
0.675 |
0.415 |
1.518 |
0.347 |
3.562 |
|
|
|
|
|
|
|
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|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 41 | 692 | 70 | 102 | 126 | 108 | 60 |
normalized size | 1 | 1.00 | 0.79 | 13.31 | 1.35 | 1.96 | 2.42 | 2.08 | 1.15 |
time (sec) |
N/A |
0.023 |
0.015 |
0.208 |
0.597 |
0.447 |
0.928 |
0.291 |
3.478 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 33 | 63 | 57 | 85 | 109 | 88 | 49 |
normalized size | 1 | 1.00 | 0.77 | 1.47 | 1.33 | 1.98 | 2.53 | 2.05 | 1.14 |
time (sec) |
N/A |
0.013 |
0.009 |
0.048 |
0.607 |
0.426 |
0.521 |
0.360 |
3.576 |
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 56 | 20 | 51 | 60 | 56 | 37 |
normalized size | 1 | 1.00 | 1.00 | 2.55 | 0.91 | 2.32 | 2.73 | 2.55 | 1.68 |
time (sec) |
N/A |
0.024 |
0.003 |
0.026 |
0.456 |
0.431 |
22.815 |
0.287 |
3.416 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 35 | 704 | 70 | 77 | 110 | 86 | 56 |
normalized size | 1 | 1.00 | 0.76 | 15.30 | 1.52 | 1.67 | 2.39 | 1.87 | 1.22 |
time (sec) |
N/A |
0.035 |
0.011 |
0.168 |
0.725 |
0.445 |
0.572 |
0.310 |
3.608 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 41 | 703 | 71 | 83 | 128 | 90 | 62 |
normalized size | 1 | 1.00 | 0.79 | 13.52 | 1.37 | 1.60 | 2.46 | 1.73 | 1.19 |
time (sec) |
N/A |
0.035 |
0.013 |
0.161 |
0.603 |
0.474 |
1.123 |
0.337 |
3.429 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 66 | 2649 | 135 | 222 | 338 | 262 | 110 |
normalized size | 1 | 1.00 | 0.86 | 34.40 | 1.75 | 2.88 | 4.39 | 3.40 | 1.43 |
time (sec) |
N/A |
0.063 |
0.032 |
0.315 |
0.621 |
0.418 |
4.396 |
0.289 |
3.664 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 67 | 2650 | 134 | 224 | 311 | 256 | 108 |
normalized size | 1 | 1.00 | 0.87 | 34.42 | 1.74 | 2.91 | 4.04 | 3.32 | 1.40 |
time (sec) |
N/A |
0.060 |
0.013 |
0.310 |
0.679 |
0.448 |
2.890 |
0.296 |
3.374 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 60 | 2650 | 135 | 222 | 337 | 262 | 110 |
normalized size | 1 | 1.00 | 0.78 | 34.42 | 1.75 | 2.88 | 4.38 | 3.40 | 1.43 |
time (sec) |
N/A |
0.039 |
0.030 |
0.318 |
0.688 |
0.443 |
1.777 |
0.375 |
3.440 |
|
|
|
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Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 50 | 2641 | 113 | 198 | 270 | 219 | 94 |
normalized size | 1 | 1.00 | 0.76 | 40.02 | 1.71 | 3.00 | 4.09 | 3.32 | 1.42 |
time (sec) |
N/A |
0.024 |
0.010 |
0.286 |
0.590 |
0.456 |
1.035 |
0.249 |
3.663 |
|
|
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Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 75 | 20 | 100 | 92 | 114 | 56 |
normalized size | 1 | 1.00 | 1.00 | 3.41 | 0.91 | 4.55 | 4.18 | 5.18 | 2.55 |
time (sec) |
N/A |
0.022 |
0.004 |
0.025 |
0.559 |
0.440 |
28.942 |
0.271 |
3.367 |
|
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Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 52 | 2674 | 133 | 180 | 272 | 197 | 104 |
normalized size | 1 | 1.00 | 0.75 | 38.75 | 1.93 | 2.61 | 3.94 | 2.86 | 1.51 |
time (sec) |
N/A |
0.060 |
0.019 |
0.285 |
0.613 |
0.412 |
1.034 |
0.280 |
3.375 |
|
|
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Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 60 | 2673 | 135 | 189 | 338 | 203 | 111 |
normalized size | 1 | 1.00 | 0.78 | 34.71 | 1.75 | 2.45 | 4.39 | 2.64 | 1.44 |
time (sec) |
N/A |
0.059 |
0.021 |
0.286 |
0.600 |
0.418 |
1.157 |
0.348 |
3.681 |
|
|
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Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 60 | 2674 | 136 | 191 | 313 | 204 | 110 |
normalized size | 1 | 1.00 | 0.78 | 34.73 | 1.77 | 2.48 | 4.06 | 2.65 | 1.43 |
time (sec) |
N/A |
0.061 |
0.026 |
0.289 |
0.591 |
0.423 |
1.811 |
0.301 |
3.590 |
|
|
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Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 42 | 0 | 48 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.94 | -0.02 |
time (sec) |
N/A |
0.056 |
0.062 |
0.297 |
0.000 |
0.437 |
0.000 |
0.337 |
0.000 |
|
|
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Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 42 | 0 | 48 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.94 | -0.02 |
time (sec) |
N/A |
0.055 |
0.060 |
0.276 |
0.000 |
0.410 |
0.000 |
0.256 |
0.000 |
|
|
|
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|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 42 | 0 | 48 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.94 | -0.02 |
time (sec) |
N/A |
0.045 |
0.052 |
0.280 |
0.000 |
0.430 |
0.000 |
0.306 |
0.000 |
|
|
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Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 48 | 240 | 0 | 39 | 0 | 42 | -1 |
normalized size | 1 | 1.00 | 1.00 | 5.00 | 0.00 | 0.81 | 0.00 | 0.88 | -0.02 |
time (sec) |
N/A |
0.036 |
0.044 |
0.499 |
0.000 |
0.416 |
0.000 |
0.286 |
0.000 |
|
|
|
|
|
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|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 19 | 18 | 19 | 34 | 45 | 18 |
normalized size | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.06 | 1.89 | 2.50 | 1.00 |
time (sec) |
N/A |
0.025 |
0.017 |
0.026 |
0.799 |
0.436 |
1.090 |
0.306 |
3.560 |
|
|
|
|
|
|
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|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 48 | 0 | 0 | 41 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.85 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.051 |
0.051 |
0.284 |
0.000 |
0.421 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 42 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.051 |
0.053 |
0.294 |
0.000 |
0.596 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 42 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.052 |
0.063 |
0.312 |
0.000 |
0.528 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 70 | 0 | 0 | 101 | 0 | 261 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.33 | 0.00 | 3.43 | -0.01 |
time (sec) |
N/A |
0.079 |
0.148 |
1.000 |
0.000 |
0.616 |
0.000 |
0.498 |
0.000 |
|
|
|
|
|
|
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|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 70 | 0 | 0 | 101 | 0 | 261 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.33 | 0.00 | 3.43 | -0.01 |
time (sec) |
N/A |
0.079 |
0.143 |
0.935 |
0.000 |
0.638 |
0.000 |
0.442 |
0.000 |
|
|
|
|
|
|
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|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 70 | 0 | 0 | 101 | 0 | 261 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.33 | 0.00 | 3.43 | -0.01 |
time (sec) |
N/A |
0.059 |
0.124 |
0.894 |
0.000 |
0.422 |
0.000 |
0.424 |
0.000 |
|
|
|
|
|
|
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|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 66 | 350 | 0 | 95 | 0 | 238 | -1 |
normalized size | 1 | 1.00 | 0.94 | 5.00 | 0.00 | 1.36 | 0.00 | 3.40 | -0.01 |
time (sec) |
N/A |
0.040 |
0.124 |
0.493 |
0.000 |
0.404 |
0.000 |
0.315 |
0.000 |
|
|
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|
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|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 21 | 20 | 25 | 70 | 21 | 20 |
normalized size | 1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.25 | 3.50 | 1.05 | 1.00 |
time (sec) |
N/A |
0.024 |
0.004 |
0.025 |
0.497 |
0.401 |
22.744 |
0.252 |
3.269 |
|
|
|
|
|
|
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|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 76 | 0 | 0 | 88 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 1.21 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.075 |
0.120 |
0.917 |
0.000 |
0.421 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 80 | 0 | 0 | 102 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 1.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.078 |
0.092 |
0.978 |
0.000 |
0.457 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 80 | 0 | 0 | 102 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 1.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.075 |
0.099 |
1.025 |
0.000 |
0.420 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 89 | 0 | 0 | 211 | 0 | 1029 | -1 |
normalized size | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 2.09 | 0.00 | 10.19 | -0.01 |
time (sec) |
N/A |
0.108 |
0.136 |
0.982 |
0.000 |
0.436 |
0.000 |
0.550 |
0.000 |
|
|
|
|
|
|
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|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 89 | 0 | 0 | 211 | 0 | 1029 | -1 |
normalized size | 1 | 1.00 | 0.85 | 0.00 | 0.00 | 2.01 | 0.00 | 9.80 | -0.01 |
time (sec) |
N/A |
0.108 |
0.131 |
0.927 |
0.000 |
0.445 |
0.000 |
0.556 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 89 | 0 | 0 | 211 | 0 | 1029 | -1 |
normalized size | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 2.09 | 0.00 | 10.19 | -0.01 |
time (sec) |
N/A |
0.080 |
0.131 |
0.897 |
0.000 |
0.459 |
0.000 |
0.565 |
0.000 |
|
|
|
|
|
|
|
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|
|
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|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 82 | 459 | 0 | 198 | 0 | 982 | -1 |
normalized size | 1 | 1.00 | 0.84 | 4.68 | 0.00 | 2.02 | 0.00 | 10.02 | -0.01 |
time (sec) |
N/A |
0.052 |
0.118 |
0.497 |
0.000 |
0.445 |
0.000 |
0.361 |
0.000 |
|
|
|
|
|
|
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|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 21 | 20 | 62 | 121 | 21 | 39 |
normalized size | 1 | 1.00 | 1.00 | 0.95 | 0.91 | 2.82 | 5.50 | 0.95 | 1.77 |
time (sec) |
N/A |
0.024 |
0.004 |
0.025 |
0.576 |
0.427 |
93.787 |
0.326 |
3.534 |
|
|
|
|
|
|
|
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|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 94 | 0 | 0 | 192 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.88 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.106 |
0.096 |
0.949 |
0.000 |
0.441 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 89 | 0 | 0 | 221 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.21 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.108 |
0.119 |
0.981 |
0.000 |
0.464 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 89 | 0 | 0 | 221 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 0.00 | 0.00 | 2.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.107 |
0.117 |
1.024 |
0.000 |
0.466 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 29 | 128 | 41 | 50 | 0 | 117 | -1 |
normalized size | 1 | 1.00 | 0.71 | 3.12 | 1.00 | 1.22 | 0.00 | 2.85 | -0.02 |
time (sec) |
N/A |
0.016 |
0.015 |
0.148 |
0.533 |
0.485 |
0.000 |
0.517 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 29 | 128 | 41 | 42 | 70 | 108 | -1 |
normalized size | 1 | 1.00 | 0.71 | 3.12 | 1.00 | 1.02 | 1.71 | 2.63 | -0.02 |
time (sec) |
N/A |
0.016 |
0.010 |
0.123 |
0.556 |
0.447 |
25.449 |
0.533 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 29 | 124 | 41 | 32 | 70 | 105 | -1 |
normalized size | 1 | 1.00 | 0.71 | 3.02 | 1.00 | 0.78 | 1.71 | 2.56 | -0.02 |
time (sec) |
N/A |
0.014 |
0.007 |
0.125 |
0.534 |
0.470 |
1.065 |
0.538 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 24 | 42 | 41 | 25 | 63 | 41 | -1 |
normalized size | 1 | 1.00 | 0.65 | 1.14 | 1.11 | 0.68 | 1.70 | 1.11 | -0.03 |
time (sec) |
N/A |
0.015 |
0.006 |
0.040 |
0.560 |
0.467 |
0.769 |
0.289 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 24 | 122 | 41 | 28 | 65 | 43 | -1 |
normalized size | 1 | 1.00 | 0.65 | 3.30 | 1.11 | 0.76 | 1.76 | 1.16 | -0.03 |
time (sec) |
N/A |
0.016 |
0.007 |
0.130 |
0.552 |
0.467 |
2.861 |
0.376 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 29 | 128 | 41 | 32 | 71 | 67 | -1 |
normalized size | 1 | 1.00 | 0.71 | 3.12 | 1.00 | 0.78 | 1.73 | 1.63 | -0.02 |
time (sec) |
N/A |
0.015 |
0.009 |
0.134 |
0.630 |
0.478 |
28.214 |
0.353 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F(-1) |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 61 | 716 | 102 | 141 | 0 | 425 | -1 |
normalized size | 1 | 1.00 | 0.84 | 9.81 | 1.40 | 1.93 | 0.00 | 5.82 | -0.01 |
time (sec) |
N/A |
0.045 |
0.021 |
0.174 |
0.594 |
0.460 |
0.000 |
1.309 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
B |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 61 | 716 | 102 | 121 | 216 | 386 | -1 |
normalized size | 1 | 1.00 | 0.84 | 9.81 | 1.40 | 1.66 | 2.96 | 5.29 | -0.01 |
time (sec) |
N/A |
0.046 |
0.018 |
0.173 |
0.622 |
0.472 |
50.356 |
1.425 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
B |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 61 | 710 | 102 | 99 | 216 | 383 | -1 |
normalized size | 1 | 1.00 | 0.84 | 9.73 | 1.40 | 1.36 | 2.96 | 5.25 | -0.01 |
time (sec) |
N/A |
0.041 |
0.017 |
0.181 |
0.523 |
0.477 |
2.462 |
1.283 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
B |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 54 | 107 | 102 | 87 | 199 | 118 | -1 |
normalized size | 1 | 1.00 | 0.81 | 1.60 | 1.52 | 1.30 | 2.97 | 1.76 | -0.01 |
time (sec) |
N/A |
0.041 |
0.014 |
0.056 |
0.534 |
0.438 |
1.457 |
0.427 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
B |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 54 | 707 | 101 | 87 | 201 | 149 | -1 |
normalized size | 1 | 1.00 | 0.81 | 10.55 | 1.51 | 1.30 | 3.00 | 2.22 | -0.01 |
time (sec) |
N/A |
0.047 |
0.013 |
0.174 |
0.634 |
0.438 |
2.899 |
0.409 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
B |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 61 | 716 | 102 | 94 | 218 | 213 | -1 |
normalized size | 1 | 1.00 | 0.84 | 9.81 | 1.40 | 1.29 | 2.99 | 2.92 | -0.01 |
time (sec) |
N/A |
0.046 |
0.016 |
0.176 |
0.657 |
0.462 |
26.711 |
0.407 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.064 |
0.084 |
0.141 |
0.000 |
0.433 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.064 |
0.075 |
0.139 |
0.000 |
0.460 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.060 |
0.075 |
0.141 |
0.000 |
0.458 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.061 |
0.066 |
0.143 |
0.000 |
0.485 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 64 | 62 | 0 | 0 | 0 | 0 | 49 | -1 |
normalized size | 1 | 0.96 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.73 | -0.01 |
time (sec) |
N/A |
0.061 |
0.079 |
0.142 |
0.000 |
0.478 |
0.000 |
0.389 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
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|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.059 |
0.078 |
0.144 |
0.000 |
0.436 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 84 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.091 |
0.164 |
5.100 |
0.000 |
0.437 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
|
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|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 84 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.096 |
0.175 |
5.217 |
0.000 |
0.430 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 84 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.087 |
0.168 |
4.997 |
0.000 |
0.414 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 83 | 427 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 4.36 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.088 |
0.198 |
2.000 |
0.000 |
0.406 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 98 | 93 | 0 | 0 | 0 | 0 | 293 | -1 |
normalized size | 1 | 0.97 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 2.90 | -0.01 |
time (sec) |
N/A |
0.093 |
0.163 |
4.995 |
0.000 |
0.417 |
0.000 |
0.428 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.092 |
0.149 |
5.159 |
0.000 |
0.418 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.072 |
0.045 |
0.731 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 61 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.054 |
0.023 |
0.647 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.065 |
0.035 |
0.296 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.054 |
0.034 |
0.294 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 56 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.028 |
0.018 |
0.288 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 13 | 14 | 29 | 14 | 13 |
normalized size | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.82 | 1.71 | 0.82 | 0.76 |
time (sec) |
N/A |
0.014 |
0.002 |
0.028 |
0.638 |
0.454 |
1.174 |
0.363 |
3.541 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 65 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.050 |
0.051 |
0.289 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 73 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.056 |
0.048 |
0.289 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 73 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.068 |
0.044 |
0.293 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 76 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.074 |
0.054 |
0.305 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 79 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.057 |
0.058 |
0.303 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 72 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.035 |
0.040 |
0.276 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 13 | 34 | 75 | 72 | 13 |
normalized size | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 2.00 | 4.41 | 4.24 | 0.76 |
time (sec) |
N/A |
0.014 |
0.002 |
0.028 |
0.612 |
0.459 |
21.925 |
0.405 |
3.527 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 79 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.067 |
0.058 |
0.297 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 88 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.073 |
0.066 |
0.283 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 46 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.035 |
0.006 |
0.293 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.036 |
0.009 |
0.296 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
|
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|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.033 |
0.009 |
0.291 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 40 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.022 |
0.004 |
0.276 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 14 | 13 | 14 | 24 | 14 | 13 |
normalized size | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.93 | 1.60 | 0.93 | 0.87 |
time (sec) |
N/A |
0.013 |
0.002 |
0.029 |
0.550 |
0.409 |
2.078 |
0.209 |
3.576 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 52 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.033 |
0.036 |
0.282 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 60 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.039 |
0.036 |
0.292 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 73 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.053 |
0.047 |
0.298 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.058 |
0.053 |
0.301 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.049 |
0.050 |
0.286 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 69 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.029 |
0.036 |
0.296 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 14 | 13 | 24 | 41 | 14 | 13 |
normalized size | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 1.60 | 2.73 | 0.93 | 0.87 |
time (sec) |
N/A |
0.014 |
0.002 |
0.031 |
0.697 |
0.461 |
93.977 |
0.271 |
3.450 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 58 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.050 |
0.050 |
0.283 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 66 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.057 |
0.049 |
0.290 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 87 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.073 |
0.066 |
0.281 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 92 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.073 |
0.069 |
0.277 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 92 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.058 |
0.066 |
0.294 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 83 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.037 |
0.060 |
0.295 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 13 | 37 | 0 | 14 | 13 |
normalized size | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 2.18 | 0.00 | 0.82 | 0.76 |
time (sec) |
N/A |
0.014 |
0.002 |
0.030 |
0.806 |
0.452 |
0.000 |
0.254 |
3.434 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 70 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.069 |
0.072 |
0.299 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.076 |
0.064 |
0.286 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
B |
A |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 17 | 260 | 102 | 26 | 27 | 214 | -1 |
normalized size | 1 | 1.00 | 0.81 | 12.38 | 4.86 | 1.24 | 1.29 | 10.19 | -0.05 |
time (sec) |
N/A |
0.020 |
0.012 |
0.173 |
0.610 |
0.467 |
0.984 |
0.460 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
B |
B |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 76 | 9684 | 247 | 574 | 2778 | 1133 | -1 |
normalized size | 1 | 1.00 | 0.66 | 83.48 | 2.13 | 4.95 | 23.95 | 9.77 | -0.01 |
time (sec) |
N/A |
0.091 |
0.048 |
0.777 |
0.696 |
0.450 |
43.508 |
0.847 |
0.000 |
|
|
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Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 76 | 2126 | 132 | 208 | 891 | 402 | -1 |
normalized size | 1 | 1.00 | 0.94 | 26.25 | 1.63 | 2.57 | 11.00 | 4.96 | -0.01 |
time (sec) |
N/A |
0.046 |
0.037 |
0.254 |
0.713 |
0.448 |
27.731 |
0.408 |
0.000 |
|
|
|
|
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Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 32 | 371 | 57 | 52 | 192 | 95 | -1 |
normalized size | 1 | 1.00 | 0.70 | 8.07 | 1.24 | 1.13 | 4.17 | 2.07 | -0.02 |
time (sec) |
N/A |
0.015 |
0.013 |
0.168 |
0.567 |
0.510 |
10.453 |
0.324 |
0.000 |
|
|
|
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Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 67 | 0 | 0 | 68 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.02 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.074 |
0.120 |
0.515 |
0.000 |
0.440 |
0.000 |
0.000 |
0.000 |
|
|
|
|
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Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 89 | 0 | 0 | 131 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.093 |
0.242 |
1.962 |
0.000 |
0.451 |
0.000 |
0.000 |
0.000 |
|
|
|
|
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Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 113 | 0 | 0 | 322 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 2.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.139 |
0.369 |
1.842 |
0.000 |
0.468 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 40 | 2008 | 75 | 73 | 292 | 170 | -1 |
normalized size | 1 | 1.00 | 0.54 | 27.14 | 1.01 | 0.99 | 3.95 | 2.30 | -0.01 |
time (sec) |
N/A |
0.053 |
0.008 |
0.302 |
0.586 |
0.439 |
123.181 |
0.533 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 30 | 750 | 53 | 42 | 163 | 99 | -1 |
normalized size | 1 | 1.00 | 0.57 | 14.15 | 1.00 | 0.79 | 3.08 | 1.87 | -0.02 |
time (sec) |
N/A |
0.032 |
0.006 |
0.178 |
0.741 |
0.448 |
43.863 |
0.350 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 20 | 263 | 32 | 20 | 68 | 50 | -1 |
normalized size | 1 | 1.00 | 0.62 | 8.22 | 1.00 | 0.62 | 2.12 | 1.56 | -0.03 |
time (sec) |
N/A |
0.011 |
0.004 |
0.141 |
0.666 |
0.484 |
13.721 |
0.356 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 0 | 0 | 20 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.74 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A |
0.037 |
0.008 |
0.486 |
0.000 |
0.458 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 49 | 0 | 0 | 50 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.053 |
0.017 |
1.836 |
0.000 |
0.441 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 61 | 0 | 0 | 84 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 1.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.076 |
0.024 |
1.751 |
0.000 |
0.436 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 101 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.126 |
0.189 |
0.291 |
0.000 |
0.502 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 86 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.067 |
0.052 |
0.316 |
0.000 |
0.475 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 61 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.047 |
0.011 |
0.297 |
0.000 |
0.445 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 86 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.068 |
0.198 |
0.291 |
0.000 |
0.485 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 103 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.092 |
0.422 |
0.285 |
0.000 |
0.509 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 107 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.069 |
0.142 |
1.685 |
0.000 |
0.466 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 89 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.064 |
0.097 |
1.367 |
0.000 |
0.418 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 89 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.052 |
0.084 |
1.266 |
0.000 |
0.421 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 80 | 0 | 0 | 52 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.038 |
0.073 |
0.933 |
0.000 |
0.453 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 27 | 26 | 35 | 56 | 27 | 26 |
normalized size | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.35 | 2.15 | 1.04 | 1.00 |
time (sec) |
N/A |
0.032 |
0.008 |
0.030 |
0.708 |
0.424 |
1.865 |
0.253 |
3.671 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.054 |
0.083 |
1.115 |
0.000 |
0.469 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 89 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.058 |
0.086 |
0.714 |
0.000 |
0.469 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 89 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.059 |
0.089 |
0.733 |
0.000 |
0.475 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 82 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.072 |
0.115 |
0.625 |
0.000 |
0.454 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 0 | 44 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.059 |
0.066 |
0.057 |
0.826 |
0.454 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 0 | 44 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.047 |
0.033 |
0.051 |
0.814 |
0.468 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 56 | 0 | 44 | 38 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.79 | 0.68 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.033 |
0.028 |
0.048 |
0.835 |
0.422 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 22 | 21 | 26 | 39 | 21 | 21 |
normalized size | 1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.24 | 1.86 | 1.00 | 1.00 |
time (sec) |
N/A |
0.028 |
0.006 |
0.027 |
0.529 |
0.418 |
1.307 |
0.394 |
3.704 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 48 | 0 | 40 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.049 |
0.035 |
0.057 |
0.632 |
0.455 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 0 | 44 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.055 |
0.037 |
0.043 |
0.696 |
0.432 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 0 | 44 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.054 |
0.036 |
0.043 |
0.691 |
0.456 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 103 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.084 |
0.195 |
0.071 |
0.000 |
0.475 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 80 | 0 | 48 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.062 |
0.106 |
0.039 |
0.644 |
0.446 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 75 | 0 | 48 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.055 |
0.066 |
0.039 |
0.676 |
0.482 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 73 | 0 | 48 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.035 |
0.031 |
0.037 |
0.802 |
0.470 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 25 | 24 | 31 | 48 | 25 | 24 |
normalized size | 1 | 1.00 | 1.00 | 0.96 | 0.92 | 1.19 | 1.85 | 0.96 | 0.92 |
time (sec) |
N/A |
0.028 |
0.010 |
0.028 |
0.557 |
0.433 |
4.758 |
0.310 |
3.716 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 73 | 0 | 48 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.052 |
0.056 |
0.037 |
0.970 |
0.467 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 75 | 0 | 48 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.058 |
0.051 |
0.041 |
0.785 |
0.463 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 80 | 0 | 48 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.058 |
0.050 |
0.040 |
0.769 |
0.454 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 65 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.051 |
0.052 |
4.261 |
0.000 |
0.494 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 114 | 114 | 118 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.107 |
0.234 |
2.127 |
0.000 |
0.434 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 142 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.168 |
0.244 |
24.092 |
0.000 |
0.445 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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 [117] had the largest ratio of
[.4000]
|
|
|
|
|
|
|
| Table 2.1:Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
1 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
2 |
A |
1 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
3 |
A |
1 |
1 |
1.00 |
6 |
0.167 |
|
|
|
|
|
|
|
4 |
A |
1 |
1 |
1.00 |
4 |
0.250 |
|
|
|
|
|
|
|
5 |
A |
1 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
6 |
A |
1 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
7 |
A |
1 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
8 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
9 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
10 |
A |
2 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
11 |
A |
2 |
2 |
1.00 |
6 |
0.333 |
|
|
|
|
|
|
|
12 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
13 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
14 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
15 |
A |
3 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
16 |
A |
3 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
17 |
A |
3 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
18 |
A |
3 |
2 |
1.00 |
6 |
0.333 |
|
|
|
|
|
|
|
19 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
20 |
A |
3 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
21 |
A |
3 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
22 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
23 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
24 |
A |
2 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
25 |
A |
1 |
1 |
1.00 |
6 |
0.167 |
|
|
|
|
|
|
|
26 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
27 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
28 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
29 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
30 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
31 |
A |
3 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
32 |
A |
2 |
2 |
1.00 |
6 |
0.333 |
|
|
|
|
|
|
|
33 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
34 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
35 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
36 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
37 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
38 |
A |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
39 |
A |
3 |
2 |
1.00 |
6 |
0.333 |
|
|
|
|
|
|
|
40 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
41 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
42 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
43 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
44 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
45 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
46 |
A |
2 |
1 |
1.00 |
10 |
0.100 |
|
|
|
|
|
|
|
47 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
48 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
49 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
50 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
51 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
52 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
53 |
A |
3 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
54 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
55 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
56 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
57 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
58 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
59 |
A |
3 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
60 |
A |
4 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
61 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
62 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
63 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
64 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
65 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
66 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
67 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
68 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
69 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
70 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
71 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
72 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
73 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
74 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
75 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
76 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
77 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
78 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
79 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
80 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
81 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
82 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
83 |
A |
4 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
84 |
A |
4 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
85 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
86 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
87 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
88 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
89 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
90 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
91 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
92 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
93 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
94 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
95 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
96 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
97 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
98 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
99 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
100 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
101 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
102 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
103 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
104 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
105 |
A |
2 |
2 |
0.96 |
20 |
0.100 |
|
|
|
|
|
|
|
106 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
107 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
108 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
109 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
110 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
111 |
A |
3 |
3 |
0.97 |
20 |
0.150 |
|
|
|
|
|
|
|
112 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
113 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
114 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
115 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
116 |
A |
4 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
117 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
118 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
119 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
120 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
121 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
122 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
123 |
A |
5 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
124 |
A |
5 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
125 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
126 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
127 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
128 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
129 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
130 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
131 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
132 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
133 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
134 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
135 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
136 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
137 |
A |
4 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
138 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
139 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
140 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
141 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
142 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
143 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
144 |
A |
5 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
145 |
A |
5 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
146 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
147 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
148 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
149 |
A |
1 |
1 |
1.00 |
22 |
0.045 |
|
|
|
|
|
|
|
150 |
A |
3 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
151 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
152 |
A |
1 |
1 |
1.00 |
16 |
0.062 |
|
|
|
|
|
|
|
153 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
154 |
A |
3 |
3 |
1.00 |
18 |
0.167 |
|
|
|
|
|
|
|
155 |
A |
4 |
3 |
1.00 |
18 |
0.167 |
|
|
|
|
|
|
|
156 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
157 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
158 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
159 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
160 |
A |
4 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
161 |
A |
5 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
162 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
163 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
164 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
165 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
166 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
167 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
168 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
169 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
170 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
171 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
172 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
173 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
174 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
175 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
176 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
177 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
178 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
179 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
180 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
181 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
182 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
183 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
184 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
185 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
186 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
187 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
188 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
189 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
190 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
191 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
192 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
193 |
A |
4 |
3 |
1.00 |
27 |
0.111 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|