Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151,
152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170,
171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189,
190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208,
209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227
}
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, 40, 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, 77, 79, 83, 85, 89, 91, 95, 97,
98, 104, 106, 110, 112, 116, 118, 119, 120, 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, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170,
171, 172, 174, 176, 177, 179, 181, 182, 184, 186, 187, 189, 191, 192, 194, 196, 197, 199, 201,
202, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227
}
B grade: { 39, 41, 157, 209 }
C grade: { 74, 75, 76, 78, 80, 81, 82, 84, 86, 87, 88, 90, 92, 93, 94, 96, 99, 100, 101, 102, 103, 105, 107,
108, 109, 111, 113, 114, 115, 117, 121, 173, 175, 178, 180, 183, 185, 188, 190, 193, 195, 198, 200, 203, 204,
205, 206, 207, 208 }
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, 29, 30,
31, 32, 33, 34, 35, 36, 37, 38, 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, 123, 124, 125, 126, 127, 128, 129, 134,
135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
154, 155, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
175, 176, 177, 179, 181, 182, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 201,
202, 203, 204, 205, 206, 207, 208, 215, 216, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227
}
B grade: { 156, 178, 180, 183, 184, 185, 198, 199, 200 }
C grade: { 130, 132, 133 }
F grade: { 28, 39, 121, 122, 131, 157, 209, 210, 211, 212, 213, 214, 217 }
2.1.4 Maxima
A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 16, 19, 21, 22, 24, 26, 33, 35, 37, 49, 50, 58, 65, 66, 72, 73,
123, 140, 141, 142, 143, 145, 146, 147, 148, 150, 153, 155, 161, 162, 166, 171, 172, 176, 177, 181,
182, 186, 187, 191, 192, 196, 197, 201, 202, 215, 216, 220, 221, 222, 223, 224, 225, 226, 227
}
B grade: { }
C grade: { }
F grade: { 6, 13, 15, 17, 18, 20, 23, 25, 27, 28, 29, 30, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
48, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 67, 68, 69, 70, 71, 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, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 144, 149, 151, 152, 154, 156, 157, 158, 159, 160, 163, 164,
165, 167, 168, 169, 170, 173, 174, 175, 178, 179, 180, 183, 184, 185, 188, 189, 190, 193, 194,
195, 198, 199, 200, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 217, 218, 219
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 25, 26, 32, 33, 34, 35, 36, 37, 49, 50,
58, 59, 65, 66, 72, 73, 119, 120, 123, 124, 129, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 146, 148,
149, 150, 153, 154, 155, 161, 162, 166, 167, 171, 172, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225,
226, 227 }
B grade: { 7, 9, 145, 147 }
C grade: { }
F grade: { 6, 17, 18, 20, 27, 28, 29, 30, 31, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55,
56, 57, 60, 61, 62, 63, 64, 67, 68, 69, 70, 71, 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, 121, 122, 125, 126, 127, 128, 130, 131, 132,
133, 144, 151, 152, 156, 157, 158, 159, 160, 163, 164, 165, 168, 169, 170, 173, 174, 175, 176,
177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214
}
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 5, 12, 13, 14, 15, 16, 22, 23, 24, 25, 26, 32, 33, 34, 35, 36, 37, 49, 50, 58, 59, 65, 66,
72, 73, 79, 85, 91, 97, 98, 106, 112, 118, 119, 120, 123, 124, 125, 126, 127, 128, 129, 134, 135, 137, 138,
139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 153, 154, 155, 161, 162, 166, 167, 171, 172, 176, 177,
181, 182, 186, 187, 191, 192, 196, 197, 201, 202, 203, 204, 205, 215, 216, 220, 221, 222, 223, 224, 225, 226,
227 }
B grade: { }
C grade: { 7, 8, 9, 10, 11 }
F grade: { 6, 17, 18, 19, 20, 21, 27, 28, 29, 30, 31, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51,
52, 53, 54, 55, 56, 57, 60, 61, 62, 63, 64, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 80, 81, 82, 83,
84, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 99, 100, 101, 102, 103, 104, 105, 107, 108, 109, 110,
111, 113, 114, 115, 116, 117, 121, 122, 130, 131, 132, 133, 136, 144, 151, 152, 156, 157, 158,
159, 160, 163, 164, 165, 168, 169, 170, 173, 174, 175, 178, 179, 180, 183, 184, 185, 188, 189,
190, 193, 194, 195, 198, 199, 200, 206, 207, 208, 209, 210, 211, 212, 213, 214, 217, 218, 219
}
2.1.7 Giac
A grade: { 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 15, 16, 22, 23, 24, 25, 26, 32, 33, 34, 35, 36, 37, 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, 79,
83, 85, 89, 91, 97, 98, 106, 112, 118, 119, 120, 123, 124, 125, 126, 127, 128, 129, 134, 135, 136, 137, 138,
139, 140, 141, 142, 143, 148, 149, 150, 153, 155, 158, 159, 160, 162, 166, 167, 171, 172, 176, 177, 181, 182,
186, 187, 188, 189, 190, 191, 192, 197, 202, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227
}
B grade: { 8, 10, 19, 21, 74, 75, 76, 77, 78, 80, 81, 82, 84, 86, 87, 88, 90, 92, 93, 94, 95, 96,
145, 146, 147, 154, 163, 164, 165, 168, 169, 170, 173, 174, 175, 178, 179, 180, 183, 184, 185
}
C grade: { }
F grade: { 6, 17, 18, 20, 27, 28, 29, 30, 31, 38, 39, 40, 41, 99, 100, 101, 102, 103, 104, 105, 107, 108, 109,
110, 111, 113, 114, 115, 116, 117, 121, 122, 130, 131, 132, 133, 144, 151, 152, 156, 157, 161, 193, 194, 195,
196, 198, 199, 200, 201, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216
}
2.1.8 Mupad
A grade: { 49, 50, 58, 59, 65, 66, 72, 73, 79, 85, 91, 97, 98, 106, 112, 118, 119, 120, 123, 124, 125, 126,
127, 128, 129, 134, 135, 136, 137, 138, 139, 161, 162, 166, 167, 171, 172, 176, 177, 181, 182, 186, 187,
191, 192, 196, 197, 201, 202, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227
}
B grade: { 4, 5, 7, 16, 26, 37, 142, 143, 145, 150, 155 }
C grade: { }
F grade: { 1, 2, 3, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32,
33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62,
63, 64, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 92, 93, 94,
95, 96, 99, 100, 101, 102, 103, 104, 105, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 121,
122, 130, 131, 132, 133, 140, 141, 144, 146, 147, 148, 149, 151, 152, 153, 154, 156, 157, 158,
159, 160, 163, 164, 165, 168, 169, 170, 173, 174, 175, 178, 179, 180, 183, 184, 185, 188, 189,
190, 193, 194, 195, 198, 199, 200, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214
}
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 |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 51 | 72 | 71 | 50 | 75 | 67 | -1 |
normalized size | 1 | 1.00 | 0.68 | 0.96 | 0.95 | 0.67 | 1.00 | 0.89 | -0.01 |
time (sec) |
N/A |
0.048 |
0.034 |
0.006 |
0.405 |
0.433 |
1.710 |
2.540 |
0.000 |
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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 |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 54 | 60 | 61 | 48 | 66 | 57 | -1 |
normalized size | 1 | 1.00 | 0.78 | 0.87 | 0.88 | 0.70 | 0.96 | 0.83 | -0.01 |
time (sec) |
N/A |
0.031 |
0.038 |
0.005 |
0.401 |
0.404 |
0.874 |
0.952 |
0.000 |
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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 |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 42 | 52 | 50 | 41 | 53 | 47 | -1 |
normalized size | 1 | 1.00 | 0.78 | 0.96 | 0.93 | 0.76 | 0.98 | 0.87 | -0.02 |
time (sec) |
N/A |
0.035 |
0.030 |
0.004 |
0.419 |
1.315 |
0.430 |
0.998 |
0.000 |
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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 | 45 | 45 | 42 | 40 | 40 | 37 | 42 | 37 | 38 |
normalized size | 1 | 1.00 | 0.93 | 0.89 | 0.89 | 0.82 | 0.93 | 0.82 | 0.84 |
time (sec) |
N/A |
0.016 |
0.018 |
0.005 |
0.401 |
0.415 |
0.195 |
3.967 |
0.036 |
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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 | 26 | 26 | 26 | 27 | 26 | 26 | 24 | 26 | 24 |
normalized size | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.00 | 0.92 | 1.00 | 0.92 |
time (sec) |
N/A |
0.008 |
0.008 |
0.003 |
0.397 |
0.465 |
0.123 |
0.966 |
0.069 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 68 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.057 |
0.017 |
0.093 |
0.000 |
0.449 |
0.000 |
0.000 |
0.000 |
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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 |
B |
C |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 34 | 29 | 38 | 82 | 34 | 48 | 25 |
normalized size | 1 | 1.00 | 1.26 | 1.07 | 1.41 | 3.04 | 1.26 | 1.78 | 0.93 |
time (sec) |
N/A |
0.022 |
0.014 |
0.009 |
0.402 |
0.469 |
1.425 |
0.197 |
0.023 |
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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 |
C |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 31 | 38 | 28 | 27 | 53 | 68 | -1 |
normalized size | 1 | 1.00 | 0.91 | 1.12 | 0.82 | 0.79 | 1.56 | 2.00 | -0.03 |
time (sec) |
N/A |
0.016 |
0.018 |
0.004 |
0.401 |
0.509 |
1.125 |
0.179 |
0.000 |
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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 |
B |
C |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 67 | 53 | 60 | 110 | 110 | 77 | -1 |
normalized size | 1 | 1.00 | 1.20 | 0.95 | 1.07 | 1.96 | 1.96 | 1.38 | -0.02 |
time (sec) |
N/A |
0.035 |
0.028 |
0.004 |
0.405 |
0.644 |
2.289 |
0.206 |
0.000 |
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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 |
C |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 41 | 58 | 50 | 37 | 102 | 130 | -1 |
normalized size | 1 | 1.00 | 0.71 | 1.00 | 0.86 | 0.64 | 1.76 | 2.24 | -0.02 |
time (sec) |
N/A |
0.022 |
0.030 |
0.006 |
0.402 |
0.443 |
1.651 |
2.126 |
0.000 |
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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 |
C |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 72 | 73 | 82 | 122 | 184 | 101 | -1 |
normalized size | 1 | 1.00 | 0.90 | 0.91 | 1.02 | 1.52 | 2.30 | 1.26 | -0.01 |
time (sec) |
N/A |
0.047 |
0.081 |
0.005 |
0.402 |
0.628 |
3.967 |
1.959 |
0.000 |
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|
|
Problem 12 |
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 | 120 | 120 | 82 | 76 | 102 | 76 | 121 | 100 | -1 |
normalized size | 1 | 1.00 | 0.68 | 0.63 | 0.85 | 0.63 | 1.01 | 0.83 | -0.01 |
time (sec) |
N/A |
0.196 |
0.067 |
0.056 |
0.407 |
0.578 |
2.939 |
3.945 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
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|
|
Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 74 | 93 | 0 | 70 | 97 | 87 | -1 |
normalized size | 1 | 1.00 | 0.76 | 0.95 | 0.00 | 0.71 | 0.99 | 0.89 | -0.01 |
time (sec) |
N/A |
0.170 |
0.046 |
0.062 |
0.000 |
0.457 |
1.802 |
5.965 |
0.000 |
|
|
|
|
|
|
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|
|
|
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|
Problem 14 |
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 | 82 | 82 | 63 | 59 | 72 | 59 | 83 | 68 | -1 |
normalized size | 1 | 1.00 | 0.77 | 0.72 | 0.88 | 0.72 | 1.01 | 0.83 | -0.01 |
time (sec) |
N/A |
0.126 |
0.056 |
0.050 |
0.523 |
0.454 |
0.852 |
0.193 |
0.000 |
|
|
|
|
|
|
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|
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|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 57 | 63 | 0 | 51 | 58 | 55 | -1 |
normalized size | 1 | 1.00 | 0.95 | 1.05 | 0.00 | 0.85 | 0.97 | 0.92 | -0.02 |
time (sec) |
N/A |
0.097 |
0.028 |
0.056 |
0.000 |
0.479 |
0.428 |
0.187 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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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 | 35 | 35 | 35 | 37 | 33 | 36 | 37 | 33 | 45 |
normalized size | 1 | 1.00 | 1.00 | 1.06 | 0.94 | 1.03 | 1.06 | 0.94 | 1.29 |
time (sec) |
N/A |
0.047 |
0.017 |
0.071 |
1.442 |
0.438 |
0.183 |
0.194 |
0.314 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 73 | 101 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.093 |
0.020 |
0.109 |
0.000 |
0.501 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 98 | 135 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.32 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.107 |
0.161 |
0.110 |
0.000 |
0.878 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 42 | 39 | 44 | 0 | 82 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.98 | 0.91 | 1.02 | 0.00 | 1.91 | -0.02 |
time (sec) |
N/A |
0.078 |
0.034 |
0.115 |
0.738 |
0.430 |
0.000 |
0.251 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 152 | 173 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.23 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.177 |
0.667 |
0.493 |
0.000 |
0.419 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 69 | 76 | 74 | 62 | 0 | 185 | -1 |
normalized size | 1 | 1.00 | 0.79 | 0.87 | 0.85 | 0.71 | 0.00 | 2.13 | -0.01 |
time (sec) |
N/A |
0.152 |
0.046 |
0.109 |
0.564 |
0.423 |
0.000 |
3.353 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
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 | 201 | 201 | 122 | 159 | 171 | 104 | 202 | 175 | -1 |
normalized size | 1 | 1.00 | 0.61 | 0.79 | 0.85 | 0.52 | 1.00 | 0.87 | -0.00 |
time (sec) |
N/A |
0.403 |
0.074 |
0.050 |
0.754 |
0.472 |
5.371 |
0.214 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 167 | 167 | 115 | 151 | 0 | 96 | 167 | 141 | -1 |
normalized size | 1 | 1.00 | 0.69 | 0.90 | 0.00 | 0.57 | 1.00 | 0.84 | -0.01 |
time (sec) |
N/A |
0.315 |
0.073 |
0.080 |
0.000 |
0.462 |
3.126 |
0.213 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
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 | 136 | 136 | 95 | 106 | 120 | 78 | 134 | 117 | -1 |
normalized size | 1 | 1.00 | 0.70 | 0.78 | 0.88 | 0.57 | 0.99 | 0.86 | -0.01 |
time (sec) |
N/A |
0.241 |
0.054 |
0.042 |
1.578 |
0.459 |
1.793 |
0.195 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 85 | 90 | 0 | 69 | 99 | 83 | -1 |
normalized size | 1 | 1.00 | 0.86 | 0.91 | 0.00 | 0.70 | 1.00 | 0.84 | -0.01 |
time (sec) |
N/A |
0.156 |
0.044 |
0.074 |
0.000 |
0.432 |
0.872 |
0.210 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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 | 60 | 60 | 60 | 57 | 59 | 44 | 60 | 56 | 59 |
normalized size | 1 | 1.00 | 1.00 | 0.95 | 0.98 | 0.73 | 1.00 | 0.93 | 0.98 |
time (sec) |
N/A |
0.081 |
0.019 |
0.070 |
0.557 |
0.595 |
0.420 |
0.180 |
0.309 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 101 | 135 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.111 |
0.023 |
0.128 |
0.000 |
1.826 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 139 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.175 |
0.118 |
0.365 |
0.000 |
0.429 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 92 | 113 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.90 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.175 |
0.212 |
0.342 |
0.000 |
0.413 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 192 | 192 | 165 | 272 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.304 |
0.832 |
0.425 |
0.000 |
0.448 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 149 | 176 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.88 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.290 |
0.528 |
0.449 |
0.000 |
0.434 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 282 | 282 | 167 | 318 | 0 | 153 | 275 | 245 | -1 |
normalized size | 1 | 1.00 | 0.59 | 1.13 | 0.00 | 0.54 | 0.98 | 0.87 | -0.00 |
time (sec) |
N/A |
0.874 |
0.094 |
0.160 |
0.000 |
0.431 |
14.824 |
0.196 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
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 | 250 | 250 | 150 | 197 | 206 | 134 | 248 | 212 | -1 |
normalized size | 1 | 1.00 | 0.60 | 0.79 | 0.82 | 0.54 | 0.99 | 0.85 | -0.00 |
time (sec) |
N/A |
0.669 |
0.087 |
0.049 |
0.697 |
0.418 |
8.810 |
3.292 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 135 | 207 | 0 | 121 | 197 | 173 | -1 |
normalized size | 1 | 1.00 | 0.68 | 1.05 | 0.00 | 0.61 | 0.99 | 0.87 | -0.01 |
time (sec) |
N/A |
0.520 |
0.078 |
0.069 |
0.000 |
0.433 |
5.507 |
0.199 |
0.000 |
|
|
|
|
|
|
|
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Problem 35 |
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 | 166 | 166 | 114 | 130 | 146 | 99 | 165 | 140 | -1 |
normalized size | 1 | 1.00 | 0.69 | 0.78 | 0.88 | 0.60 | 0.99 | 0.84 | -0.01 |
time (sec) |
N/A |
0.366 |
0.083 |
0.046 |
1.070 |
0.445 |
3.039 |
0.196 |
0.000 |
|
|
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Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 96 | 113 | 0 | 82 | 110 | 101 | -1 |
normalized size | 1 | 1.00 | 0.86 | 1.01 | 0.00 | 0.73 | 0.98 | 0.90 | -0.01 |
time (sec) |
N/A |
0.237 |
0.047 |
0.060 |
0.000 |
0.439 |
1.740 |
0.190 |
0.000 |
|
|
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Problem 37 |
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 | 69 | 69 | 69 | 67 | 74 | 55 | 70 | 65 | 63 |
normalized size | 1 | 1.00 | 1.00 | 0.97 | 1.07 | 0.80 | 1.01 | 0.94 | 0.91 |
time (sec) |
N/A |
0.120 |
0.025 |
0.074 |
0.515 |
0.435 |
0.812 |
0.180 |
0.305 |
|
|
|
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Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 119 | 168 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.125 |
0.023 |
0.123 |
0.000 |
0.440 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 549 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 3.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.204 |
1.201 |
0.347 |
0.000 |
0.428 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 115 | 149 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.213 |
0.413 |
0.341 |
0.000 |
0.567 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 304 | 304 | 1475 | 451 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 4.85 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.421 |
12.075 |
0.427 |
0.000 |
0.530 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
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|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 40 | 40 | 0 | 0 | 0 | 47 | -1 |
normalized size | 1 | 1.00 | 0.73 | 0.73 | 0.00 | 0.00 | 0.00 | 0.85 | -0.02 |
time (sec) |
N/A |
0.091 |
0.121 |
0.165 |
0.000 |
0.389 |
0.000 |
2.975 |
0.000 |
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 33 | 33 | 0 | 0 | 0 | 37 | -1 |
normalized size | 1 | 1.00 | 0.77 | 0.77 | 0.00 | 0.00 | 0.00 | 0.86 | -0.02 |
time (sec) |
N/A |
0.079 |
0.099 |
0.147 |
0.000 |
0.394 |
0.000 |
0.173 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 31 | 31 | 0 | 0 | 0 | 35 | -1 |
normalized size | 1 | 1.00 | 0.76 | 0.76 | 0.00 | 0.00 | 0.00 | 0.85 | -0.02 |
time (sec) |
N/A |
0.075 |
0.089 |
0.040 |
0.000 |
0.443 |
0.000 |
2.814 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 24 | 24 | 0 | 0 | 0 | 25 | -1 |
normalized size | 1 | 1.00 | 0.83 | 0.83 | 0.00 | 0.00 | 0.00 | 0.86 | -0.03 |
time (sec) |
N/A |
0.064 |
0.072 |
0.039 |
0.000 |
0.406 |
0.000 |
1.975 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 20 | 22 | 0 | 0 | 0 | 23 | -1 |
normalized size | 1 | 1.00 | 0.74 | 0.81 | 0.00 | 0.00 | 0.00 | 0.85 | -0.04 |
time (sec) |
N/A |
0.060 |
0.062 |
0.038 |
0.000 |
0.475 |
0.000 |
1.929 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 13 | 0 | 0 | 0 | 12 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.86 | -0.07 |
time (sec) |
N/A |
0.035 |
0.022 |
0.038 |
0.000 |
0.479 |
0.000 |
1.021 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 11 | 0 | 0 | 0 | 10 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 1.00 | -0.10 |
time (sec) |
N/A |
0.015 |
0.026 |
0.032 |
0.000 |
2.118 |
0.000 |
0.978 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.013 |
0.252 |
0.194 |
0.000 |
0.438 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.014 |
0.929 |
0.327 |
0.000 |
0.435 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 86 | 105 | 0 | 0 | 0 | 72 | -1 |
normalized size | 1 | 1.00 | 1.05 | 1.28 | 0.00 | 0.00 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A |
0.079 |
0.166 |
0.209 |
0.000 |
0.407 |
0.000 |
0.186 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 63 | 78 | 0 | 0 | 0 | 62 | -1 |
normalized size | 1 | 1.00 | 0.90 | 1.11 | 0.00 | 0.00 | 0.00 | 0.89 | -0.01 |
time (sec) |
N/A |
0.064 |
0.171 |
0.152 |
0.000 |
0.416 |
0.000 |
0.189 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 61 | 81 | 0 | 0 | 0 | 60 | -1 |
normalized size | 1 | 1.00 | 0.90 | 1.19 | 0.00 | 0.00 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A |
0.063 |
0.172 |
0.046 |
0.000 |
0.483 |
0.000 |
2.525 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 50 | 54 | 0 | 0 | 0 | 50 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.96 | 0.00 | 0.00 | 0.00 | 0.89 | -0.02 |
time (sec) |
N/A |
0.050 |
0.144 |
0.042 |
0.000 |
0.456 |
0.000 |
0.186 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 50 | 57 | 0 | 0 | 0 | 48 | -1 |
normalized size | 1 | 1.00 | 0.93 | 1.06 | 0.00 | 0.00 | 0.00 | 0.89 | -0.02 |
time (sec) |
N/A |
0.046 |
0.133 |
0.042 |
0.000 |
0.393 |
0.000 |
2.806 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 37 | 30 | 0 | 0 | 0 | 36 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.79 | 0.00 | 0.00 | 0.00 | 0.95 | -0.03 |
time (sec) |
N/A |
0.024 |
0.097 |
0.034 |
0.000 |
0.407 |
0.000 |
0.181 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 35 | 32 | 0 | 0 | 0 | 33 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.94 | -0.03 |
time (sec) |
N/A |
0.081 |
0.042 |
0.036 |
0.000 |
0.416 |
0.000 |
1.715 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.012 |
1.034 |
0.194 |
0.000 |
0.413 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.013 |
18.260 |
0.334 |
0.000 |
0.480 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 103 | 121 | 0 | 0 | 0 | 86 | -1 |
normalized size | 1 | 1.00 | 1.05 | 1.23 | 0.00 | 0.00 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A |
0.344 |
0.144 |
0.133 |
0.000 |
0.464 |
0.000 |
0.254 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 70 | 82 | 0 | 0 | 0 | 75 | -1 |
normalized size | 1 | 1.00 | 0.84 | 0.99 | 0.00 | 0.00 | 0.00 | 0.90 | -0.01 |
time (sec) |
N/A |
0.305 |
0.150 |
0.108 |
0.000 |
0.404 |
0.000 |
0.234 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 65 | 82 | 0 | 0 | 0 | 72 | -1 |
normalized size | 1 | 1.00 | 0.79 | 1.00 | 0.00 | 0.00 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A |
0.243 |
0.139 |
0.040 |
0.000 |
0.404 |
0.000 |
0.234 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 43 | 0 | 0 | 0 | 57 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.90 | -0.02 |
time (sec) |
N/A |
0.165 |
0.044 |
0.038 |
0.000 |
0.393 |
0.000 |
0.379 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 47 | 43 | 0 | 0 | 0 | 43 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.84 | 0.00 | 0.00 | 0.00 | 0.84 | -0.02 |
time (sec) |
N/A |
0.083 |
0.033 |
0.041 |
0.000 |
0.386 |
0.000 |
0.227 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.012 |
0.756 |
0.210 |
0.000 |
0.396 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.013 |
10.195 |
0.327 |
0.000 |
0.419 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 159 | 171 | 0 | 0 | 0 | 138 | -1 |
normalized size | 1 | 1.00 | 1.01 | 1.08 | 0.00 | 0.00 | 0.00 | 0.87 | -0.01 |
time (sec) |
N/A |
0.338 |
0.185 |
0.143 |
0.000 |
0.452 |
0.000 |
0.219 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 143 | 107 | 114 | 0 | 0 | 0 | 125 | -1 |
normalized size | 1 | 1.00 | 0.75 | 0.80 | 0.00 | 0.00 | 0.00 | 0.87 | -0.01 |
time (sec) |
N/A |
0.291 |
0.300 |
0.122 |
0.000 |
0.616 |
0.000 |
0.385 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 129 | 117 | 0 | 0 | 0 | 121 | -1 |
normalized size | 1 | 1.00 | 0.91 | 0.83 | 0.00 | 0.00 | 0.00 | 0.86 | -0.01 |
time (sec) |
N/A |
0.312 |
0.153 |
0.044 |
0.000 |
0.437 |
0.000 |
0.187 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 86 | 60 | 0 | 0 | 0 | 83 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.62 | 0.00 | 0.00 | 0.00 | 0.86 | -0.01 |
time (sec) |
N/A |
0.166 |
0.120 |
0.037 |
0.000 |
0.447 |
0.000 |
0.573 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 71 | 63 | 0 | 0 | 0 | 66 | -1 |
normalized size | 1 | 1.00 | 0.91 | 0.81 | 0.00 | 0.00 | 0.00 | 0.85 | -0.01 |
time (sec) |
N/A |
0.156 |
0.052 |
0.036 |
0.000 |
0.525 |
0.000 |
0.190 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.026 |
3.049 |
0.207 |
0.000 |
0.486 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.016 |
29.951 |
0.347 |
0.000 |
0.497 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 212 | 143 | 0 | 0 | 0 | 315 | -1 |
normalized size | 1 | 1.00 | 1.75 | 1.18 | 0.00 | 0.00 | 0.00 | 2.60 | -0.01 |
time (sec) |
N/A |
0.281 |
0.325 |
0.307 |
0.000 |
0.000 |
0.000 |
0.536 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 125 | 91 | 0 | 0 | 0 | 189 | -1 |
normalized size | 1 | 1.00 | 1.32 | 0.96 | 0.00 | 0.00 | 0.00 | 1.99 | -0.01 |
time (sec) |
N/A |
0.195 |
0.135 |
0.250 |
0.000 |
0.000 |
0.000 |
0.875 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 122 | 96 | 0 | 0 | 0 | 210 | -1 |
normalized size | 1 | 1.00 | 1.42 | 1.12 | 0.00 | 0.00 | 0.00 | 2.44 | -0.01 |
time (sec) |
N/A |
0.184 |
0.217 |
0.201 |
0.000 |
0.000 |
0.000 |
0.280 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 49 | 42 | 0 | 0 | 0 | 89 | -1 |
normalized size | 1 | 1.00 | 0.83 | 0.71 | 0.00 | 0.00 | 0.00 | 1.51 | -0.02 |
time (sec) |
N/A |
0.151 |
0.043 |
0.164 |
0.000 |
0.000 |
0.000 |
1.569 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 76 | 49 | 0 | 0 | 0 | 105 | -1 |
normalized size | 1 | 1.00 | 1.73 | 1.11 | 0.00 | 0.00 | 0.00 | 2.39 | -0.02 |
time (sec) |
N/A |
0.090 |
0.041 |
0.146 |
0.000 |
0.000 |
0.000 |
0.215 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.012 |
0.447 |
0.219 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 282 | 282 | 185 | 193 | 0 | 0 | 0 | 434 | -1 |
normalized size | 1 | 1.00 | 0.66 | 0.68 | 0.00 | 0.00 | 0.00 | 1.54 | -0.00 |
time (sec) |
N/A |
0.515 |
0.139 |
0.286 |
0.000 |
0.000 |
0.000 |
0.504 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 157 | 157 | 128 | 121 | 0 | 0 | 0 | 269 | -1 |
normalized size | 1 | 1.00 | 0.82 | 0.77 | 0.00 | 0.00 | 0.00 | 1.71 | -0.01 |
time (sec) |
N/A |
0.368 |
0.089 |
0.248 |
0.000 |
0.000 |
0.000 |
0.318 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 125 | 130 | 0 | 0 | 0 | 289 | -1 |
normalized size | 1 | 1.00 | 0.85 | 0.88 | 0.00 | 0.00 | 0.00 | 1.97 | -0.01 |
time (sec) |
N/A |
0.302 |
0.101 |
0.235 |
0.000 |
0.000 |
0.000 |
0.314 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 64 | 64 | 0 | 0 | 0 | 129 | -1 |
normalized size | 1 | 1.00 | 0.72 | 0.72 | 0.00 | 0.00 | 0.00 | 1.45 | -0.01 |
time (sec) |
N/A |
0.179 |
0.073 |
0.173 |
0.000 |
0.000 |
0.000 |
1.115 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 66 | 72 | 0 | 0 | 0 | 144 | -1 |
normalized size | 1 | 1.00 | 0.88 | 0.96 | 0.00 | 0.00 | 0.00 | 1.92 | -0.01 |
time (sec) |
N/A |
0.101 |
0.030 |
0.131 |
0.000 |
0.000 |
0.000 |
0.327 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.013 |
0.453 |
0.229 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F(-1) |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 298 | 298 | 212 | 233 | 0 | 0 | 0 | 547 | -1 |
normalized size | 1 | 1.00 | 0.71 | 0.78 | 0.00 | 0.00 | 0.00 | 1.84 | -0.00 |
time (sec) |
N/A |
0.790 |
0.229 |
0.299 |
0.000 |
0.000 |
0.000 |
0.350 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 140 | 154 | 0 | 0 | 0 | 345 | -1 |
normalized size | 1 | 1.00 | 0.68 | 0.75 | 0.00 | 0.00 | 0.00 | 1.68 | -0.00 |
time (sec) |
N/A |
0.589 |
0.155 |
0.264 |
0.000 |
0.000 |
0.000 |
2.580 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 178 | 178 | 122 | 156 | 0 | 0 | 0 | 364 | -1 |
normalized size | 1 | 1.00 | 0.69 | 0.88 | 0.00 | 0.00 | 0.00 | 2.04 | -0.01 |
time (sec) |
N/A |
0.457 |
0.135 |
0.235 |
0.000 |
0.000 |
0.000 |
2.965 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 73 | 79 | 0 | 0 | 0 | 167 | -1 |
normalized size | 1 | 1.00 | 0.61 | 0.66 | 0.00 | 0.00 | 0.00 | 1.40 | -0.01 |
time (sec) |
N/A |
0.287 |
0.100 |
0.176 |
0.000 |
0.000 |
0.000 |
0.253 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 76 | 88 | 0 | 0 | 0 | 181 | -1 |
normalized size | 1 | 1.00 | 0.86 | 1.00 | 0.00 | 0.00 | 0.00 | 2.06 | -0.01 |
time (sec) |
N/A |
0.160 |
0.039 |
0.139 |
0.000 |
0.000 |
0.000 |
2.682 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.012 |
0.459 |
0.202 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 192 | 72 | 0 | 0 | 0 | 202 | -1 |
normalized size | 1 | 1.00 | 1.81 | 0.68 | 0.00 | 0.00 | 0.00 | 1.91 | -0.01 |
time (sec) |
N/A |
0.105 |
0.121 |
0.196 |
0.000 |
0.000 |
0.000 |
0.382 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 130 | 43 | 0 | 0 | 0 | 113 | -1 |
normalized size | 1 | 1.00 | 2.00 | 0.66 | 0.00 | 0.00 | 0.00 | 1.74 | -0.02 |
time (sec) |
N/A |
0.078 |
0.091 |
0.192 |
0.000 |
0.000 |
0.000 |
3.604 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 126 | 50 | 0 | 0 | 0 | 135 | -1 |
normalized size | 1 | 1.00 | 1.77 | 0.70 | 0.00 | 0.00 | 0.00 | 1.90 | -0.01 |
time (sec) |
N/A |
0.079 |
0.099 |
0.170 |
0.000 |
0.000 |
0.000 |
0.342 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 21 | 0 | 0 | 0 | 51 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 1.82 | -0.04 |
time (sec) |
N/A |
0.040 |
0.029 |
0.115 |
0.000 |
0.000 |
0.000 |
2.590 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 68 | 26 | 0 | 0 | 0 | 68 | -1 |
normalized size | 1 | 1.00 | 2.19 | 0.84 | 0.00 | 0.00 | 0.00 | 2.19 | -0.03 |
time (sec) |
N/A |
0.023 |
0.032 |
0.060 |
0.000 |
0.000 |
0.000 |
3.159 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.013 |
0.353 |
0.177 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.013 |
3.976 |
0.482 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 171 | 171 | 306 | 182 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.79 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.146 |
0.349 |
0.329 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 226 | 121 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.78 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.104 |
0.561 |
0.260 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 233 | 140 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.71 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.095 |
0.234 |
0.185 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 154 | 81 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.69 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.065 |
0.477 |
0.200 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 159 | 96 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.64 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.069 |
0.130 |
0.154 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 44 | 42 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.80 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.031 |
0.051 |
0.151 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 86 | 66 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.46 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.087 |
0.038 |
0.132 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.012 |
0.513 |
0.199 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 235 | 235 | 322 | 173 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.37 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.410 |
1.820 |
0.241 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 126 | 203 | 107 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.61 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.325 |
0.978 |
0.217 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 220 | 115 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.76 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.286 |
0.907 |
0.177 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 61 | 56 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.69 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.173 |
0.098 |
0.145 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 122 | 83 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.61 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.093 |
0.262 |
0.174 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.013 |
0.515 |
0.201 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 264 | 264 | 418 | 225 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.58 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.383 |
8.062 |
0.248 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 264 | 139 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.39 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.323 |
4.330 |
0.203 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 191 | 191 | 281 | 154 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.47 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.341 |
2.864 |
0.185 |
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 |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 75 | 73 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.63 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.172 |
0.104 |
0.161 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 151 | 110 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.44 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.166 |
1.174 |
0.162 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.013 |
0.532 |
0.206 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.117 |
1.301 |
1.119 |
0.000 |
0.613 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.114 |
1.184 |
0.841 |
0.000 |
0.575 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 150 | 150 | 132 | 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 |
0.107 |
2.380 |
1.484 |
0.000 |
0.655 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
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 | 68 | 68 | 54 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.026 |
0.035 |
1.595 |
0.000 |
0.448 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.017 |
0.710 |
0.824 |
0.000 |
0.403 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.015 |
0.754 |
1.046 |
0.000 |
0.407 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.015 |
6.451 |
0.169 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.016 |
6.682 |
0.140 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.016 |
6.261 |
0.161 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.015 |
3.724 |
0.138 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A |
0.016 |
1.124 |
1.234 |
0.000 |
0.489 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 165 | 165 | 130 | 287 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 1.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.176 |
0.127 |
0.546 |
0.000 |
0.544 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
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 | 163 | 163 | 152 | 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 |
0.149 |
0.218 |
0.319 |
0.000 |
0.492 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 74 | 138 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 1.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.083 |
0.066 |
0.154 |
0.000 |
0.524 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-2) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 70 | 148 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.049 |
0.040 |
0.116 |
0.000 |
0.465 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.015 |
0.361 |
0.234 |
0.000 |
0.440 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A |
0.015 |
0.953 |
0.261 |
0.000 |
0.444 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.021 |
4.720 |
0.197 |
0.000 |
0.485 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.018 |
5.951 |
0.181 |
0.000 |
0.542 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.019 |
1.919 |
0.181 |
0.000 |
0.582 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.022 |
2.005 |
0.194 |
0.000 |
0.454 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
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 | 76 | 76 | 68 | 72 | 71 | 62 | 85 | 67 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.95 | 0.93 | 0.82 | 1.12 | 0.88 | -0.01 |
time (sec) |
N/A |
0.036 |
0.057 |
0.023 |
0.408 |
0.472 |
0.919 |
0.172 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
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 | 60 | 60 | 55 | 64 | 60 | 54 | 70 | 56 | -1 |
normalized size | 1 | 1.00 | 0.92 | 1.07 | 1.00 | 0.90 | 1.17 | 0.93 | -0.02 |
time (sec) |
N/A |
0.042 |
0.050 |
0.007 |
0.416 |
0.467 |
0.450 |
0.150 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
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 | 51 | 51 | 56 | 52 | 50 | 50 | 60 | 46 | 45 |
normalized size | 1 | 1.00 | 1.10 | 1.02 | 0.98 | 0.98 | 1.18 | 0.90 | 0.88 |
time (sec) |
N/A |
0.019 |
0.041 |
0.006 |
0.412 |
0.466 |
0.240 |
0.197 |
0.302 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
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 | 31 | 31 | 31 | 32 | 31 | 32 | 29 | 31 | 29 |
normalized size | 1 | 1.00 | 1.00 | 1.03 | 1.00 | 1.03 | 0.94 | 1.00 | 0.94 |
time (sec) |
N/A |
0.019 |
0.012 |
0.003 |
0.407 |
0.413 |
0.126 |
0.183 |
0.327 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 58 | 77 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.072 |
0.019 |
0.039 |
0.000 |
0.435 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
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 | 32 | 32 | 43 | 41 | 47 | 92 | 41 | 347 | 33 |
normalized size | 1 | 1.00 | 1.34 | 1.28 | 1.47 | 2.88 | 1.28 | 10.84 | 1.03 |
time (sec) |
N/A |
0.028 |
0.013 |
0.005 |
0.408 |
0.461 |
1.632 |
0.460 |
0.286 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 44 | 50 | 37 | 37 | 63 | 492 | -1 |
normalized size | 1 | 1.00 | 1.13 | 1.28 | 0.95 | 0.95 | 1.62 | 12.62 | -0.03 |
time (sec) |
N/A |
0.019 |
0.025 |
0.006 |
0.409 |
0.452 |
1.337 |
0.162 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 79 | 65 | 69 | 121 | 121 | 1634 | -1 |
normalized size | 1 | 1.00 | 1.27 | 1.05 | 1.11 | 1.95 | 1.95 | 26.35 | -0.02 |
time (sec) |
N/A |
0.037 |
0.029 |
0.005 |
0.409 |
0.462 |
2.552 |
1.668 |
0.000 |
|
|
|
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Problem 148 |
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 | 102 | 102 | 121 | 126 | 142 | 111 | 175 | 143 | -1 |
normalized size | 1 | 1.00 | 1.19 | 1.24 | 1.39 | 1.09 | 1.72 | 1.40 | -0.01 |
time (sec) |
N/A |
0.152 |
0.157 |
0.054 |
0.424 |
0.488 |
1.050 |
2.245 |
0.000 |
|
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Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 104 | 118 | 0 | 99 | 131 | 119 | -1 |
normalized size | 1 | 1.00 | 1.37 | 1.55 | 0.00 | 1.30 | 1.72 | 1.57 | -0.01 |
time (sec) |
N/A |
0.118 |
0.133 |
0.062 |
0.000 |
0.543 |
0.536 |
2.040 |
0.000 |
|
|
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Problem 150 |
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 | 47 | 47 | 76 | 74 | 73 | 65 | 87 | 75 | 96 |
normalized size | 1 | 1.00 | 1.62 | 1.57 | 1.55 | 1.38 | 1.85 | 1.60 | 2.04 |
time (sec) |
N/A |
0.058 |
0.072 |
0.057 |
0.417 |
0.433 |
0.255 |
0.190 |
0.462 |
|
|
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Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 128 | 194 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.39 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.118 |
0.132 |
0.094 |
0.000 |
0.467 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 134 | 187 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.51 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.128 |
0.233 |
0.110 |
0.000 |
0.483 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 153 |
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 | 178 | 178 | 218 | 235 | 273 | 195 | 333 | 289 | -1 |
normalized size | 1 | 1.00 | 1.22 | 1.32 | 1.53 | 1.10 | 1.87 | 1.62 | -0.01 |
time (sec) |
N/A |
0.295 |
0.247 |
0.053 |
0.428 |
0.471 |
2.321 |
3.982 |
0.000 |
|
|
|
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|
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Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 185 | 211 | 0 | 169 | 269 | 231 | -1 |
normalized size | 1 | 1.00 | 1.48 | 1.69 | 0.00 | 1.35 | 2.15 | 1.85 | -0.01 |
time (sec) |
N/A |
0.208 |
0.180 |
0.063 |
0.000 |
0.441 |
1.204 |
0.217 |
0.000 |
|
|
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Problem 155 |
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 | 82 | 82 | 128 | 134 | 144 | 108 | 165 | 150 | 164 |
normalized size | 1 | 1.00 | 1.56 | 1.63 | 1.76 | 1.32 | 2.01 | 1.83 | 2.00 |
time (sec) |
N/A |
0.108 |
0.122 |
0.075 |
0.405 |
0.473 |
0.582 |
0.189 |
0.470 |
|
|
|
|
|
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|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 204 | 353 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.61 | 2.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.141 |
0.188 |
0.100 |
0.000 |
0.547 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 308 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.214 |
0.320 |
0.254 |
0.000 |
0.487 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 117 | 91 | 102 | 0 | 0 | 0 | 172 | -1 |
normalized size | 1 | 0.97 | 0.75 | 0.84 | 0.00 | 0.00 | 0.00 | 1.42 | -0.01 |
time (sec) |
N/A |
0.216 |
0.193 |
0.044 |
0.000 |
0.611 |
0.000 |
0.202 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 56 | 58 | 0 | 0 | 0 | 86 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.92 | 0.00 | 0.00 | 0.00 | 1.37 | -0.02 |
time (sec) |
N/A |
0.121 |
0.071 |
0.047 |
0.000 |
0.526 |
0.000 |
0.193 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 46 | 49 | 0 | 0 | 0 | 50 | -1 |
normalized size | 1 | 1.00 | 0.85 | 0.91 | 0.00 | 0.00 | 0.00 | 0.93 | -0.02 |
time (sec) |
N/A |
0.062 |
0.074 |
0.070 |
0.000 |
0.526 |
0.000 |
0.180 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
F(-2) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.023 |
0.334 |
0.441 |
0.000 |
0.541 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.024 |
3.942 |
0.309 |
0.000 |
0.444 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
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|
|
|
|
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|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 155 | 151 | 124 | 147 | 0 | 0 | 0 | 615 | -1 |
normalized size | 1 | 0.97 | 0.80 | 0.95 | 0.00 | 0.00 | 0.00 | 3.97 | -0.01 |
time (sec) |
N/A |
0.183 |
0.613 |
0.053 |
0.000 |
0.428 |
0.000 |
0.227 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 80 | 78 | 0 | 0 | 0 | 323 | -1 |
normalized size | 1 | 1.00 | 0.88 | 0.86 | 0.00 | 0.00 | 0.00 | 3.55 | -0.01 |
time (sec) |
N/A |
0.097 |
0.268 |
0.041 |
0.000 |
1.182 |
0.000 |
0.225 |
0.000 |
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 82 | 72 | 74 | 0 | 0 | 0 | 193 | -1 |
normalized size | 1 | 0.95 | 0.84 | 0.86 | 0.00 | 0.00 | 0.00 | 2.24 | -0.01 |
time (sec) |
N/A |
0.168 |
0.160 |
0.075 |
0.000 |
0.434 |
0.000 |
0.191 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.021 |
7.120 |
0.441 |
0.000 |
0.474 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.022 |
56.120 |
0.352 |
0.000 |
0.454 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 197 | 246 | 169 | 290 | 0 | 0 | 0 | 1479 | -1 |
normalized size | 1 | 1.25 | 0.86 | 1.47 | 0.00 | 0.00 | 0.00 | 7.51 | -0.01 |
time (sec) |
N/A |
0.535 |
0.490 |
0.049 |
0.000 |
0.454 |
0.000 |
1.144 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 107 | 157 | 0 | 0 | 0 | 860 | -1 |
normalized size | 1 | 1.00 | 0.82 | 1.21 | 0.00 | 0.00 | 0.00 | 6.62 | -0.01 |
time (sec) |
N/A |
0.311 |
0.305 |
0.041 |
0.000 |
0.565 |
0.000 |
1.770 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 89 | 139 | 0 | 0 | 0 | 481 | -1 |
normalized size | 1 | 1.00 | 0.80 | 1.25 | 0.00 | 0.00 | 0.00 | 4.33 | -0.01 |
time (sec) |
N/A |
0.166 |
0.247 |
0.081 |
0.000 |
0.425 |
0.000 |
1.887 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.023 |
3.668 |
0.585 |
0.000 |
0.453 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A |
0.024 |
35.443 |
0.934 |
0.000 |
0.452 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 242 | 242 | 243 | 357 | 0 | 0 | 0 | 1095 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.48 | 0.00 | 0.00 | 0.00 | 4.52 | -0.00 |
time (sec) |
N/A |
0.702 |
0.534 |
0.379 |
0.000 |
0.000 |
0.000 |
4.433 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 137 | 123 | 173 | 0 | 0 | 0 | 469 | -1 |
normalized size | 1 | 1.00 | 0.90 | 1.26 | 0.00 | 0.00 | 0.00 | 3.42 | -0.01 |
time (sec) |
N/A |
0.400 |
0.243 |
0.272 |
0.000 |
0.000 |
0.000 |
1.154 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 120 | 179 | 0 | 0 | 0 | 546 | -1 |
normalized size | 1 | 1.00 | 0.99 | 1.48 | 0.00 | 0.00 | 0.00 | 4.51 | -0.01 |
time (sec) |
N/A |
0.278 |
0.247 |
0.209 |
0.000 |
0.000 |
0.000 |
0.791 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.034 |
4.204 |
0.293 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.034 |
11.598 |
0.632 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 313 | 313 | 589 | 541 | 0 | 0 | 0 | 2037 | -1 |
normalized size | 1 | 1.00 | 1.88 | 1.73 | 0.00 | 0.00 | 0.00 | 6.51 | -0.00 |
time (sec) |
N/A |
0.949 |
10.110 |
0.372 |
0.000 |
0.000 |
0.000 |
3.441 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 155 | 267 | 0 | 0 | 0 | 884 | -1 |
normalized size | 1 | 1.00 | 0.90 | 1.55 | 0.00 | 0.00 | 0.00 | 5.14 | -0.01 |
time (sec) |
N/A |
0.461 |
0.950 |
0.246 |
0.000 |
0.000 |
0.000 |
5.416 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 159 | 159 | 295 | 270 | 0 | 0 | 0 | 1022 | -1 |
normalized size | 1 | 1.00 | 1.86 | 1.70 | 0.00 | 0.00 | 0.00 | 6.43 | -0.01 |
time (sec) |
N/A |
0.237 |
2.645 |
0.220 |
0.000 |
0.000 |
0.000 |
3.976 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.039 |
3.857 |
0.293 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.039 |
11.160 |
0.636 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 358 | 358 | 1002 | 792 | 0 | 0 | 0 | 2760 | -1 |
normalized size | 1 | 1.00 | 2.80 | 2.21 | 0.00 | 0.00 | 0.00 | 7.71 | -0.00 |
time (sec) |
N/A |
1.316 |
17.230 |
0.405 |
0.000 |
0.000 |
0.000 |
5.424 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 216 | 216 | 201 | 394 | 0 | 0 | 0 | 1366 | -1 |
normalized size | 1 | 1.00 | 0.93 | 1.82 | 0.00 | 0.00 | 0.00 | 6.32 | -0.00 |
time (sec) |
N/A |
0.703 |
2.199 |
0.283 |
0.000 |
0.000 |
0.000 |
5.507 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-2) |
F |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 179 | 179 | 383 | 393 | 0 | 0 | 0 | 1209 | -1 |
normalized size | 1 | 1.00 | 2.14 | 2.20 | 0.00 | 0.00 | 0.00 | 6.75 | -0.01 |
time (sec) |
N/A |
0.428 |
4.851 |
0.234 |
0.000 |
0.000 |
0.000 |
6.930 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.041 |
3.880 |
0.308 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.040 |
10.989 |
0.626 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 223 | 223 | 225 | 167 | 0 | 0 | 0 | 330 | -1 |
normalized size | 1 | 1.00 | 1.01 | 0.75 | 0.00 | 0.00 | 0.00 | 1.48 | -0.00 |
time (sec) |
N/A |
0.371 |
0.462 |
0.273 |
0.000 |
0.000 |
0.000 |
1.447 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 91 | 80 | 0 | 0 | 0 | 139 | -1 |
normalized size | 1 | 1.00 | 0.92 | 0.81 | 0.00 | 0.00 | 0.00 | 1.40 | -0.01 |
time (sec) |
N/A |
0.171 |
0.174 |
0.107 |
0.000 |
0.000 |
0.000 |
1.279 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 118 | 85 | 0 | 0 | 0 | 163 | -1 |
normalized size | 1 | 1.00 | 1.16 | 0.83 | 0.00 | 0.00 | 0.00 | 1.60 | -0.01 |
time (sec) |
N/A |
0.090 |
0.093 |
0.091 |
0.000 |
0.000 |
0.000 |
1.213 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.036 |
3.995 |
0.273 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.035 |
13.663 |
0.598 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 252 | 252 | 273 | 295 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.08 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.388 |
0.571 |
0.266 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 124 | 142 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.154 |
0.368 |
0.183 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 137 | 150 | 150 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.09 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.266 |
0.188 |
0.192 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
F(-2) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.043 |
4.720 |
0.236 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.041 |
13.943 |
0.638 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 292 | 292 | 322 | 659 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.10 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.945 |
2.883 |
0.328 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 180 | 180 | 176 | 311 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.98 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.487 |
0.764 |
0.218 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-2) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 194 | 324 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.19 | 1.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.259 |
1.725 |
0.230 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
F(-2) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.041 |
4.889 |
0.236 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.041 |
14.415 |
0.616 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 158 | 144 | 0 | 0 | 82 | 0 | -1 |
normalized size | 1 | 1.00 | 1.32 | 1.20 | 0.00 | 0.00 | 0.68 | 0.00 | -0.01 |
time (sec) |
N/A |
0.067 |
0.286 |
0.026 |
0.000 |
0.603 |
98.831 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 66 | 138 | 0 | 0 | 82 | 0 | -1 |
normalized size | 1 | 1.00 | 0.53 | 1.11 | 0.00 | 0.00 | 0.66 | 0.00 | -0.01 |
time (sec) |
N/A |
0.091 |
0.083 |
0.015 |
0.000 |
0.551 |
16.855 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 113 | 119 | 0 | 0 | 76 | 0 | -1 |
normalized size | 1 | 1.00 | 1.28 | 1.35 | 0.00 | 0.00 | 0.86 | 0.00 | -0.01 |
time (sec) |
N/A |
0.046 |
0.212 |
0.008 |
0.000 |
0.450 |
2.498 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 45 | 98 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.51 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.074 |
0.036 |
0.010 |
0.000 |
0.593 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 93 | 85 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.69 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.034 |
0.165 |
0.010 |
0.000 |
0.657 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 68 | 129 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.54 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.092 |
0.088 |
0.007 |
0.000 |
0.715 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 234 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.139 |
1.453 |
0.371 |
0.000 |
0.515 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 176 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.140 |
8.617 |
0.338 |
0.000 |
0.511 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 202 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.134 |
0.622 |
0.347 |
0.000 |
0.486 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F(-2) |
F(-1) |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 142 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.125 |
1.486 |
180.000 |
0.000 |
0.684 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-1) |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 129 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.130 |
0.520 |
0.359 |
0.000 |
0.462 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-2) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 198 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.142 |
0.933 |
0.389 |
0.000 |
0.491 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
F(-2) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.164 |
34.992 |
0.344 |
0.000 |
0.528 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
F(-2) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.167 |
147.328 |
0.372 |
0.000 |
0.727 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
F(-2) |
F(-1) |
A |
F(-2) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.147 |
11.330 |
180.000 |
0.000 |
0.515 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
F(-2) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.158 |
8.064 |
0.366 |
0.000 |
0.565 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
F(-1) |
A |
F(-2) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.167 |
12.964 |
0.374 |
0.000 |
0.525 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.028 |
3.783 |
0.244 |
0.000 |
0.513 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.025 |
2.458 |
0.264 |
0.000 |
0.458 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.026 |
0.947 |
0.276 |
0.000 |
0.447 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.029 |
3.427 |
0.244 |
0.000 |
0.485 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.027 |
7.101 |
0.244 |
0.000 |
0.458 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.023 |
5.441 |
0.253 |
0.000 |
0.510 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.024 |
10.431 |
0.266 |
0.000 |
0.503 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A |
0.029 |
15.212 |
0.253 |
0.000 |
0.459 |
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 [30] had the largest ratio of
[1.000]
|
|
|
|
|
|
|
| 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 |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
2 |
A |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
3 |
A |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
4 |
A |
3 |
3 |
1.00 |
6 |
0.500 |
|
|
|
|
|
|
|
5 |
A |
2 |
2 |
1.00 |
4 |
0.500 |
|
|
|
|
|
|
|
6 |
A |
5 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
7 |
A |
4 |
4 |
1.00 |
8 |
0.500 |
|
|
|
|
|
|
|
8 |
A |
2 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
9 |
A |
5 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
10 |
A |
3 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
11 |
A |
6 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
12 |
A |
7 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
13 |
A |
6 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
14 |
A |
5 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
15 |
A |
4 |
4 |
1.00 |
8 |
0.500 |
|
|
|
|
|
|
|
16 |
A |
3 |
3 |
1.00 |
6 |
0.500 |
|
|
|
|
|
|
|
17 |
A |
6 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
18 |
A |
7 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
19 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
20 |
A |
9 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
21 |
A |
5 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
22 |
A |
14 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
23 |
A |
11 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
24 |
A |
9 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
25 |
A |
6 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
26 |
A |
4 |
3 |
1.00 |
6 |
0.500 |
|
|
|
|
|
|
|
27 |
A |
7 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
28 |
A |
9 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
29 |
A |
7 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
30 |
A |
14 |
10 |
1.00 |
10 |
1.000 |
|
|
|
|
|
|
|
31 |
A |
10 |
9 |
1.00 |
10 |
0.900 |
|
|
|
|
|
|
|
32 |
A |
23 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
33 |
A |
19 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
34 |
A |
14 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
35 |
A |
11 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
36 |
A |
7 |
4 |
1.00 |
8 |
0.500 |
|
|
|
|
|
|
|
37 |
A |
5 |
3 |
1.00 |
6 |
0.500 |
|
|
|
|
|
|
|
38 |
A |
8 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
39 |
A |
11 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
40 |
A |
8 |
8 |
1.00 |
10 |
0.800 |
|
|
|
|
|
|
|
41 |
A |
19 |
10 |
1.00 |
10 |
1.000 |
|
|
|
|
|
|
|
42 |
A |
7 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
43 |
A |
6 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
44 |
A |
6 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
45 |
A |
5 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
46 |
A |
5 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
47 |
A |
4 |
4 |
1.00 |
8 |
0.500 |
|
|
|
|
|
|
|
48 |
A |
2 |
2 |
1.00 |
6 |
0.333 |
|
|
|
|
|
|
|
49 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
50 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
51 |
A |
6 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
52 |
A |
5 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
53 |
A |
5 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
54 |
A |
4 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
55 |
A |
4 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
56 |
A |
2 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
57 |
A |
3 |
3 |
1.00 |
6 |
0.500 |
|
|
|
|
|
|
|
58 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
59 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
60 |
A |
14 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
61 |
A |
12 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
62 |
A |
10 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
63 |
A |
7 |
7 |
1.00 |
8 |
0.875 |
|
|
|
|
|
|
|
64 |
A |
4 |
4 |
1.00 |
6 |
0.667 |
|
|
|
|
|
|
|
65 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
66 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
67 |
A |
12 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
68 |
A |
9 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
69 |
A |
10 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
70 |
A |
5 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
71 |
A |
5 |
4 |
1.00 |
6 |
0.667 |
|
|
|
|
|
|
|
72 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
73 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
74 |
A |
10 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
75 |
A |
8 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
76 |
A |
8 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
77 |
A |
6 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
78 |
A |
4 |
4 |
1.00 |
8 |
0.500 |
|
|
|
|
|
|
|
79 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
80 |
A |
23 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
81 |
A |
16 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
82 |
A |
13 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
83 |
A |
8 |
8 |
1.00 |
10 |
0.800 |
|
|
|
|
|
|
|
84 |
A |
5 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
85 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
86 |
A |
26 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
87 |
A |
18 |
7 |
1.00 |
12 |
0.583 |
|
|
|
|
|
|
|
88 |
A |
15 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
89 |
A |
9 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
90 |
A |
6 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
91 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
92 |
A |
9 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
93 |
A |
7 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
94 |
A |
7 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
95 |
A |
5 |
5 |
1.00 |
10 |
0.500 |
|
|
|
|
|
|
|
96 |
A |
3 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
97 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
98 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
99 |
A |
10 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
100 |
A |
8 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
101 |
A |
8 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
102 |
A |
6 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
103 |
A |
6 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
104 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
105 |
A |
4 |
4 |
1.00 |
8 |
0.500 |
|
|
|
|
|
|
|
106 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
107 |
A |
19 |
6 |
1.00 |
12 |
0.500 |
|
|
|
|
|
|
|
108 |
A |
15 |
7 |
1.00 |
12 |
0.583 |
|
|
|
|
|
|
|
109 |
A |
13 |
7 |
1.00 |
12 |
0.583 |
|
|
|
|
|
|
|
110 |
A |
8 |
8 |
1.00 |
10 |
0.800 |
|
|
|
|
|
|
|
111 |
A |
5 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
112 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
113 |
A |
17 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
114 |
A |
12 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
115 |
A |
13 |
7 |
1.00 |
12 |
0.583 |
|
|
|
|
|
|
|
116 |
A |
6 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
117 |
A |
6 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
118 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
119 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
120 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
121 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
122 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
123 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
124 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
125 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
126 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
127 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
128 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
129 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
130 |
A |
9 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
131 |
A |
9 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
132 |
A |
6 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
133 |
A |
4 |
3 |
1.00 |
6 |
0.500 |
|
|
|
|
|
|
|
134 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
135 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
136 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
137 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
138 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
139 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
140 |
A |
4 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
141 |
A |
4 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
142 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
143 |
A |
3 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
144 |
A |
5 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
145 |
A |
4 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
146 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
147 |
A |
5 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
148 |
A |
5 |
5 |
1.00 |
14 |
0.357 |
|
|
|
|
|
|
|
149 |
A |
4 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
150 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
151 |
A |
6 |
6 |
1.00 |
14 |
0.429 |
|
|
|
|
|
|
|
152 |
A |
7 |
5 |
1.00 |
14 |
0.357 |
|
|
|
|
|
|
|
153 |
A |
10 |
7 |
1.00 |
14 |
0.500 |
|
|
|
|
|
|
|
154 |
A |
6 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
155 |
A |
5 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
156 |
A |
7 |
7 |
1.00 |
14 |
0.500 |
|
|
|
|
|
|
|
157 |
A |
9 |
6 |
1.00 |
14 |
0.429 |
|
|
|
|
|
|
|
158 |
A |
9 |
5 |
0.97 |
14 |
0.357 |
|
|
|
|
|
|
|
159 |
A |
6 |
6 |
1.00 |
12 |
0.500 |
|
|
|
|
|
|
|
160 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
161 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
162 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
163 |
A |
8 |
4 |
0.97 |
14 |
0.286 |
|
|
|
|
|
|
|
164 |
A |
4 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
165 |
A |
5 |
5 |
0.95 |
10 |
0.500 |
|
|
|
|
|
|
|
166 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
167 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
168 |
A |
16 |
8 |
1.25 |
14 |
0.571 |
|
|
|
|
|
|
|
169 |
A |
9 |
9 |
1.00 |
12 |
0.750 |
|
|
|
|
|
|
|
170 |
A |
6 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
171 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
172 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
173 |
A |
14 |
8 |
1.00 |
16 |
0.500 |
|
|
|
|
|
|
|
174 |
A |
9 |
8 |
1.00 |
14 |
0.571 |
|
|
|
|
|
|
|
175 |
A |
7 |
7 |
1.00 |
12 |
0.583 |
|
|
|
|
|
|
|
176 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
177 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
178 |
A |
22 |
11 |
1.00 |
16 |
0.688 |
|
|
|
|
|
|
|
179 |
A |
11 |
11 |
1.00 |
14 |
0.786 |
|
|
|
|
|
|
|
180 |
A |
8 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
181 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
182 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
183 |
A |
24 |
11 |
1.00 |
16 |
0.688 |
|
|
|
|
|
|
|
184 |
A |
12 |
10 |
1.00 |
14 |
0.714 |
|
|
|
|
|
|
|
185 |
A |
9 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
186 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
187 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
188 |
A |
13 |
7 |
1.00 |
16 |
0.438 |
|
|
|
|
|
|
|
189 |
A |
8 |
8 |
1.00 |
14 |
0.571 |
|
|
|
|
|
|
|
190 |
A |
6 |
6 |
1.00 |
12 |
0.500 |
|
|
|
|
|
|
|
191 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
192 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
193 |
A |
12 |
6 |
1.00 |
16 |
0.375 |
|
|
|
|
|
|
|
194 |
A |
6 |
6 |
1.00 |
14 |
0.429 |
|
|
|
|
|
|
|
195 |
A |
7 |
7 |
1.00 |
12 |
0.583 |
|
|
|
|
|
|
|
196 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
197 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
198 |
A |
22 |
10 |
1.00 |
16 |
0.625 |
|
|
|
|
|
|
|
199 |
A |
11 |
11 |
1.00 |
14 |
0.786 |
|
|
|
|
|
|
|
200 |
A |
8 |
8 |
1.00 |
12 |
0.667 |
|
|
|
|
|
|
|
201 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
202 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
203 |
A |
5 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
204 |
A |
7 |
7 |
1.00 |
16 |
0.438 |
|
|
|
|
|
|
|
205 |
A |
4 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
206 |
A |
6 |
6 |
1.00 |
16 |
0.375 |
|
|
|
|
|
|
|
207 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
208 |
A |
7 |
7 |
1.00 |
16 |
0.438 |
|
|
|
|
|
|
|
209 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
210 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
211 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
212 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
213 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
214 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
215 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
216 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
217 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
218 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
219 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
220 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
221 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
222 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
223 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
224 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
225 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
226 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
227 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|