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
}
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, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 33,
34, 35, 36, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 55, 59, 60, 61, 62, 63, 64, 65, 66,
67, 68, 69, 70, 71, 72, 73, 86, 87, 96, 97, 98, 99, 100, 102, 105, 108, 111, 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, 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, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 197, 198
}
B grade: { }
C grade: { 17, 18, 30, 31, 37, 38, 52, 53, 54, 56, 57, 58, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 88, 89,
90, 91, 92, 93, 94, 95, 103, 104, 106, 107, 109, 110, 112, 113 }
F grade: { 101, 181, 182, 183, 196}
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 48, 55, 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, 96, 97, 98, 99, 100, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124,
125, 126, 128, 129, 130, 134, 138, 139, 140, 142, 143, 153, 154, 155, 159, 160, 165, 173, 180
}
B grade: { 39, 40, 41, 42, 43, 44, 137, 144 }
C grade: { 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 58, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 102, 103, 104,
105, 106, 107, 108, 109, 110, 111, 112, 113 }
F grade: { 101, 127, 131, 132, 133, 135, 136, 141, 145, 146, 147, 148, 149, 150, 151, 152, 156, 157, 158,
161, 162, 163, 164, 166, 167, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 179, 181, 182, 183, 184, 185,
186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198 }
2.1.4 Maxima
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 32, 33,
34, 36, 37, 38, 96, 97, 98, 99, 100, 114, 115, 117, 118, 119, 120, 122, 123, 124, 125, 126, 128,
129, 130, 131, 132, 133, 134, 137, 138, 139, 140, 142, 143, 145, 146, 147, 148, 153, 154, 160,
161, 162, 163, 164, 165, 166, 167, 168, 169, 180, 184, 185, 186, 189, 190, 191, 192, 193, 197,
198
B grade: { 144, 155 }
C grade: { }
F grade: { 22, 26, 27, 28, 29, 30, 31, 35, 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, 101, 102, 103, 104, 105, 106, 107,
108, 109, 110, 111, 112, 113, 116, 121, 127, 135, 136, 141, 149, 150, 151, 152, 156, 157, 158,
159, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 181, 182, 183, 187, 188, 194, 195, 196
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 48, 59, 60, 61, 62, 63, 64, 72,
73, 74, 96, 97, 98, 99, 100, 114, 115, 117, 118, 119, 120, 122, 123, 124, 125, 126, 134, 137, 138, 139, 140,
151, 152, 153, 154, 155, 160, 165, 180 }
B grade: { 75, 76, 77 }
C grade: { 11, 12, 13, 14, 16, 17, 18, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 55, 65, 66, 67, 68, 69, 70,
71, 78, 79, 80, 81, 82, 83, 84, 85, 131, 132, 133, 150 }
F grade: { 6, 15, 22, 35, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 58, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 116, 121, 127, 128, 129, 130, 135, 136, 141,
142, 143, 144, 145, 146, 147, 148, 149, 156, 157, 158, 159, 161, 162, 163, 164, 166, 167, 168, 169, 170, 171,
172, 173, 174, 175, 176, 177, 178, 179, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194,
195, 196, 197, 198 }
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 19, 20, 21, 23, 24, 25, 27, 28, 29, 96, 97, 98, 99, 100, 114, 115,
116, 117, 118, 119, 120, 122, 123, 134, 160 }
B grade: { }
C grade: { }
F grade: { 11, 12, 13, 14, 16, 17, 18, 22, 26, 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, 101, 102, 103, 104, 105, 106, 107,
108, 109, 110, 111, 112, 113, 121, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 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,
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
}
2.1.7 Giac
A grade: { 96, 97, 98, 99, 100, 114, 115, 117, 118, 119, 120, 122, 123, 134, 160, 180 }
B grade: { }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84,
85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
112, 113, 116, 121, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 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, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178,
179, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198
}
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 73 | 76 | 97 | 177 | 66 | 0 |
normalized size | 1 | 1. | 0.85 | 0.88 | 1.13 | 2.06 | 0.77 | 0. |
time (sec) |
N/A |
0.053 |
0.042 |
0.046 |
0.964 |
2.689 |
15.264 |
0. |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 65 | 68 | 86 | 153 | 58 | 0 |
normalized size | 1 | 1. | 0.86 | 0.89 | 1.13 | 2.01 | 0.76 | 0. |
time (sec) |
N/A |
0.045 |
0.033 |
0.046 |
0.983 |
2.662 |
8.741 |
0. |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 57 | 60 | 76 | 132 | 49 | 0 |
normalized size | 1 | 1. | 0.86 | 0.91 | 1.15 | 2. | 0.74 | 0. |
time (sec) |
N/A |
0.04 |
0.029 |
0.047 |
0.973 |
2.599 |
4.428 |
0. |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 48 | 52 | 65 | 111 | 41 | 0 |
normalized size | 1 | 1. | 0.86 | 0.93 | 1.16 | 1.98 | 0.73 | 0. |
time (sec) |
N/A |
0.028 |
0.024 |
0.046 |
0.965 |
2.582 |
2.437 |
0. |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 26 | 36 | 39 | 70 | 22 | 0 |
normalized size | 1 | 1. | 0.9 | 1.24 | 1.34 | 2.41 | 0.76 | 0. |
time (sec) |
N/A |
0.009 |
0.012 |
0.045 |
0.981 |
2.635 |
1.209 |
0. |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 5 | 5 | 5 | 6 | 7 | 0 | 3 | 0 |
normalized size | 1 | 1. | 1. | 1.2 | 1.4 | 0. | 0.6 | 0. |
time (sec) |
N/A |
0.009 |
0.001 |
0.043 |
0.975 |
0. |
1.712 |
0. |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 40 | 38 | 88 | 24 | 0 |
normalized size | 1 | 1. | 1. | 1.11 | 1.06 | 2.44 | 0.67 | 0. |
time (sec) |
N/A |
0.022 |
0.01 |
0.119 |
1.009 |
2.782 |
1.563 |
0. |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 50 | 52 | 54 | 117 | 42 | 0 |
normalized size | 1 | 1. | 0.86 | 0.9 | 0.93 | 2.02 | 0.72 | 0. |
time (sec) |
N/A |
0.033 |
0.022 |
0.118 |
0.981 |
2.629 |
2.965 |
0. |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 52 | 60 | 66 | 143 | 51 | 0 |
normalized size | 1 | 1. | 0.76 | 0.88 | 0.97 | 2.1 | 0.75 | 0. |
time (sec) |
N/A |
0.036 |
0.037 |
0.119 |
0.99 |
2.688 |
5.569 |
0. |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 60 | 68 | 78 | 163 | 60 | 0 |
normalized size | 1 | 1. | 0.77 | 0.87 | 1. | 2.09 | 0.77 | 0. |
time (sec) |
N/A |
0.039 |
0.035 |
0.128 |
0.986 |
2.786 |
11.28 |
0. |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 86 | 78 | 104 | 244 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0.89 | 1.18 | 2.77 | 0. | 0. |
time (sec) |
N/A |
0.057 |
0.012 |
0.161 |
0.999 |
2.549 |
0. |
0. |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 78 | 69 | 93 | 224 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.88 | 1.19 | 2.87 | 0. | 0. |
time (sec) |
N/A |
0.051 |
0.011 |
0.164 |
0.996 |
2.676 |
0. |
0. |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 69 | 62 | 82 | 201 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0.91 | 1.21 | 2.96 | 0. | 0. |
time (sec) |
N/A |
0.035 |
0.009 |
0.155 |
1.014 |
2.616 |
0. |
0. |
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Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 39 | 41 | 53 | 151 | 0 | 0 |
normalized size | 1 | 1. | 1.15 | 1.21 | 1.56 | 4.44 | 0. | 0. |
time (sec) |
N/A |
0.011 |
0.012 |
0.092 |
0.991 |
2.598 |
0. |
0. |
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Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 5 | 5 | 5 | 6 | 7 | 0 | 3 | 0 |
normalized size | 1 | 1. | 1. | 1.2 | 1.4 | 0. | 0.6 | 0. |
time (sec) |
N/A |
0.009 |
0.001 |
0.04 |
0.984 |
0. |
0.552 |
0. |
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Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 44 | 57 | 45 | 162 | 0 | 0 |
normalized size | 1 | 1. | 0.96 | 1.24 | 0.98 | 3.52 | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.032 |
0.08 |
0.995 |
2.662 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 25 | 90 | 63 | 194 | 0 | 0 |
normalized size | 1 | 1. | 0.36 | 1.29 | 0.9 | 2.77 | 0. | 0. |
time (sec) |
N/A |
0.043 |
0.009 |
0.165 |
0.993 |
2.718 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 25 | 106 | 76 | 221 | 0 | 0 |
normalized size | 1 | 1. | 0.31 | 1.32 | 0.95 | 2.76 | 0. | 0. |
time (sec) |
N/A |
0.048 |
0.009 |
0.168 |
0.988 |
2.814 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 65 | 62 | 84 | 142 | 56 | 0 |
normalized size | 1 | 1. | 0.88 | 0.84 | 1.14 | 1.92 | 0.76 | 0. |
time (sec) |
N/A |
0.061 |
0.022 |
0.044 |
1.008 |
2.527 |
42.518 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 56 | 54 | 73 | 120 | 48 | 0 |
normalized size | 1 | 1. | 0.88 | 0.84 | 1.14 | 1.88 | 0.75 | 0. |
time (sec) |
N/A |
0.05 |
0.017 |
0.045 |
0.969 |
2.584 |
13.184 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 43 | 52 | 54 | 89 | 39 | 0 |
normalized size | 1 | 1. | 0.93 | 1.13 | 1.17 | 1.93 | 0.85 | 0. |
time (sec) |
N/A |
0.025 |
0.009 |
0.045 |
0.985 |
2.57 |
4.027 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 10 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.91 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.001 |
0.115 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 49 | 43 | 46 | 112 | 37 | 0 |
normalized size | 1 | 1. | 1. | 0.88 | 0.94 | 2.29 | 0.76 | 0. |
time (sec) |
N/A |
0.041 |
0.012 |
0.05 |
0.96 |
2.68 |
4.88 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 51 | 54 | 62 | 131 | 49 | 0 |
normalized size | 1 | 1. | 0.8 | 0.84 | 0.97 | 2.05 | 0.77 | 0. |
time (sec) |
N/A |
0.05 |
0.028 |
0.05 |
0.988 |
2.649 |
14.997 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 60 | 62 | 74 | 154 | 58 | 0 |
normalized size | 1 | 1. | 0.81 | 0.84 | 1. | 2.08 | 0.78 | 0. |
time (sec) |
N/A |
0.054 |
0.031 |
0.05 |
0.981 |
2.657 |
43.062 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 65 | 58 | 0 | 398 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
0.79 |
0. |
5.45 |
0. |
0. |
time (sec) |
N/A |
0.045 |
0.072 |
0.046 |
0. |
2.698 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 57 | 50 | 0 | 351 | 83 | 0 |
normalized size |
1 |
1. |
0.9 |
0.79 |
0. |
5.57 |
1.32 |
0. |
time (sec) |
N/A |
0.039 |
0.051 |
0.046 |
0. |
2.639 |
119.376 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 39 | 37 | 0 | 269 | 60 | 0 |
normalized size |
1 |
1. |
0.98 |
0.92 |
0. |
6.72 |
1.5 |
0. |
time (sec) |
N/A |
0.017 |
0.028 |
0.046 |
0. |
2.631 |
23.224 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 41 | 39 | 0 | 232 | 184 | 0 |
normalized size |
1 |
1. |
0.98 |
0.93 |
0. |
5.52 |
4.38 |
0. |
time (sec) |
N/A |
0.026 |
0.018 |
0.049 |
0. |
2.792 |
84.144 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 47 | 45 | 0 | 289 | 0 | 0 |
normalized size |
1 |
1. |
0.84 |
0.8 |
0. |
5.16 |
0. |
0. |
time (sec) |
N/A |
0.032 |
0.014 |
0.053 |
0. |
2.746 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 47 | 53 | 0 | 333 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
0.8 |
0. |
5.05 |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.015 |
0.052 |
0. |
2.661 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 88 | 80 | 104 | 240 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.91 | 1.18 | 2.73 | 0. | 0. |
time (sec) |
N/A |
0.075 |
0.018 |
0.058 |
0.98 |
2.717 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 79 | 72 | 93 | 217 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0.92 | 1.19 | 2.78 | 0. | 0. |
time (sec) |
N/A |
0.061 |
0.014 |
0.054 |
0.968 |
2.706 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 52 | 56 | 72 | 181 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 0.93 | 1.2 | 3.02 | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.011 |
0.055 |
1.001 |
2.664 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 10 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.91 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.009 |
0.001 |
0.154 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 60 | 68 | 55 | 194 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 1.08 | 0.87 | 3.08 | 0. | 0. |
time (sec) |
N/A |
0.047 |
0.027 |
0.061 |
0.99 |
2.719 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 30 | 98 | 74 | 217 | 0 | 0 |
normalized size | 1 | 1. | 0.38 | 1.26 | 0.95 | 2.78 | 0. | 0. |
time (sec) |
N/A |
0.064 |
0.012 |
0.065 |
1.003 |
2.718 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 30 | 115 | 86 | 242 | 0 | 0 |
normalized size | 1 | 1. | 0.34 | 1.31 | 0.98 | 2.75 | 0. | 0. |
time (sec) |
N/A |
0.065 |
0.012 |
0.066 |
0.998 |
2.797 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 77 | 144 | 0 | 608 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
1.66 |
0. |
6.99 |
0. |
0. |
time (sec) |
N/A |
0.053 |
0.161 |
0.178 |
0. |
2.777 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 69 | 136 | 0 | 555 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
1.77 |
0. |
7.21 |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.138 |
0.175 |
0. |
2.743 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 50 | 119 | 0 | 452 | 0 | 0 |
normalized size |
1 |
1. |
1. |
2.38 |
0. |
9.04 |
0. |
0. |
time (sec) |
N/A |
0.023 |
0.088 |
0.173 |
0. |
2.694 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 50 | 112 | 0 | 402 | 0 | 0 |
normalized size |
1 |
1. |
0.93 |
2.07 |
0. |
7.44 |
0. |
0. |
time (sec) |
N/A |
0.036 |
0.081 |
0.172 |
0. |
2.871 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 61 | 125 | 0 | 462 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
1.79 |
0. |
6.6 |
0. |
0. |
time (sec) |
N/A |
0.041 |
0.089 |
0.177 |
0. |
3.227 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 69 | 138 | 0 | 513 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
1.72 |
0. |
6.41 |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.101 |
0.18 |
0. |
3.241 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 69 | 108 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
1.52 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.044 |
0.26 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 69 | 108 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.97 | 1.52 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.032 |
0.036 |
0.207 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 51 | 88 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.94 | 1.63 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.023 |
0.045 |
0.207 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 0 | 28 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.09 | 0. | 2.55 | 0. | 0. |
time (sec) |
N/A |
0.01 |
0.002 |
0.044 |
0. |
2.839 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 60 | 106 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 1.54 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.053 |
0.208 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 61 | 108 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
1.38 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.042 |
0.052 |
0.209 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 61 | 108 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
1.42 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.04 |
0.052 |
0.205 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 41 | 132 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 1.5 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.009 |
0.345 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 41 | 132 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.47 | 1.5 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.043 |
0.008 |
0.338 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 39 | 105 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.57 | 1.52 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.028 |
0.006 |
0.334 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 0 | 209 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.09 | 0. | 19. | 0. | 0. |
time (sec) |
N/A |
0.01 |
0.001 |
0.041 |
0. |
2.724 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 37 | 129 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.44 | 1.54 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.05 |
0.009 |
0.333 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 41 | 132 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.43 | 1.39 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.05 |
0.009 |
0.343 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 41 | 132 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.44 | 1.42 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.051 |
0.01 |
0.34 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 117 | 90 | 96 | 0 | 470 | 0 | 0 |
normalized size |
1 |
1. |
0.77 |
0.82 |
0. |
4.02 |
0. |
0. |
time (sec) |
N/A |
0.072 |
0.102 |
0.194 |
0. |
2.82 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 75 | 83 | 0 | 362 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
0.81 |
0. |
3.55 |
0. |
0. |
time (sec) |
N/A |
0.053 |
0.082 |
0.05 |
0. |
2.569 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 63 | 69 | 0 | 331 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
0.86 |
0. |
4.14 |
0. |
0. |
time (sec) |
N/A |
0.046 |
0.079 |
0.05 |
0. |
2.615 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 51 | 63 | 0 | 316 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
0.93 |
0. |
4.65 |
0. |
0. |
time (sec) |
N/A |
0.043 |
0.071 |
0.053 |
0. |
2.712 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 57 | 76 | 0 | 365 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0.85 |
0. |
4.1 |
0. |
0. |
time (sec) |
N/A |
0.05 |
0.074 |
0.055 |
0. |
2.665 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 65 | 89 | 0 | 412 | 0 | 0 |
normalized size |
1 |
1. |
0.61 |
0.84 |
0. |
3.89 |
0. |
0. |
time (sec) |
N/A |
0.057 |
0.095 |
0.054 |
0. |
2.593 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 98 | 149 | 0 | 822 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0.97 |
0. |
5.37 |
0. |
0. |
time (sec) |
N/A |
0.098 |
0.26 |
0.182 |
0. |
2.975 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 88 | 141 | 0 | 721 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
1.04 |
0. |
5.3 |
0. |
0. |
time (sec) |
N/A |
0.083 |
0.218 |
0.061 |
0. |
2.874 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 73 | 133 | 0 | 593 | 0 | 0 |
normalized size |
1 |
1. |
0.6 |
1.1 |
0. |
4.9 |
0. |
0. |
time (sec) |
N/A |
0.067 |
0.188 |
0.058 |
0. |
2.848 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 57 | 127 | 0 | 547 | 0 | 0 |
normalized size |
1 |
1. |
0.59 |
1.31 |
0. |
5.64 |
0. |
0. |
time (sec) |
N/A |
0.062 |
0.139 |
0.057 |
0. |
2.726 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 58 | 111 | 0 | 518 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
1.31 |
0. |
6.09 |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.102 |
0.056 |
0. |
2.589 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 64 | 122 | 0 | 575 | 0 | 0 |
normalized size |
1 |
1. |
0.59 |
1.13 |
0. |
5.32 |
0. |
0. |
time (sec) |
N/A |
0.066 |
0.096 |
0.06 |
0. |
2.789 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 72 | 135 | 0 | 629 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
1.08 |
0. |
5.03 |
0. |
0. |
time (sec) |
N/A |
0.076 |
0.13 |
0.062 |
0. |
2.86 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 101 | 150 | 0 | 471 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
1.07 |
0. |
3.36 |
0. |
0. |
time (sec) |
N/A |
0.107 |
0.104 |
0.214 |
0. |
2.846 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 91 | 139 | 0 | 440 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
1.11 |
0. |
3.52 |
0. |
0. |
time (sec) |
N/A |
0.086 |
0.07 |
0.052 |
0. |
2.703 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 57 | 137 | 0 | 408 | 0 | 0 |
normalized size |
1 |
1. |
0.5 |
1.19 |
0. |
3.55 |
0. |
0. |
time (sec) |
N/A |
0.08 |
0.074 |
0.053 |
0. |
2.882 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 62 | 127 | 0 | 425 | 0 | 0 |
normalized size |
1 |
1. |
0.6 |
1.23 |
0. |
4.13 |
0. |
0. |
time (sec) |
N/A |
0.074 |
0.07 |
0.052 |
0. |
2.664 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 62 | 129 | 0 | 470 | 0 | 0 |
normalized size |
1 |
1. |
0.56 |
1.16 |
0. |
4.23 |
0. |
0. |
time (sec) |
N/A |
0.072 |
0.067 |
0.054 |
0. |
2.735 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 126 | 70 | 140 | 0 | 512 | 0 | 0 |
normalized size |
1 |
1. |
0.56 |
1.11 |
0. |
4.06 |
0. |
0. |
time (sec) |
N/A |
0.086 |
0.077 |
0.056 |
0. |
2.755 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 89 | 155 | 0 | 682 | 0 | 0 |
normalized size |
1 |
1. |
0.55 |
0.96 |
0. |
4.24 |
0. |
0. |
time (sec) |
N/A |
0.127 |
0.103 |
0.193 |
0. |
3.106 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 89 | 155 | 0 | 606 | 0 | 0 |
normalized size |
1 |
1. |
0.55 |
0.96 |
0. |
3.76 |
0. |
0. |
time (sec) |
N/A |
0.116 |
0.1 |
0.208 |
0. |
2.915 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 68 | 147 | 0 | 579 | 0 | 0 |
normalized size |
1 |
1. |
0.47 |
1.01 |
0. |
3.97 |
0. |
0. |
time (sec) |
N/A |
0.097 |
0.092 |
0.224 |
0. |
2.852 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 68 | 147 | 0 | 521 | 0 | 0 |
normalized size |
1 |
1. |
0.51 |
1.1 |
0. |
3.89 |
0. |
0. |
time (sec) |
N/A |
0.101 |
0.086 |
0.191 |
0. |
2.862 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 71 | 131 | 0 | 549 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
1.07 |
0. |
4.5 |
0. |
0. |
time (sec) |
N/A |
0.093 |
0.09 |
0.191 |
0. |
3.007 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 71 | 131 | 0 | 591 | 0 | 0 |
normalized size |
1 |
1. |
0.54 |
0.99 |
0. |
4.48 |
0. |
0. |
time (sec) |
N/A |
0.091 |
0.094 |
0.194 |
0. |
2.818 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 79 | 142 | 0 | 641 | 0 | 0 |
normalized size |
1 |
1. |
0.54 |
0.97 |
0. |
4.36 |
0. |
0. |
time (sec) |
N/A |
0.107 |
0.099 |
0.206 |
0. |
3.003 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
C |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 84 | 142 | 0 | 629 | 0 | 0 |
normalized size |
1 |
1. |
0.57 |
0.97 |
0. |
4.28 |
0. |
0. |
time (sec) |
N/A |
0.106 |
0.096 |
0.191 |
0. |
3.057 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 82 | 121 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
1.2 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.124 |
0.255 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 82 | 121 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.82 |
1.21 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.055 |
0.106 |
0.229 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 48 | 109 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.52 | 1.17 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.054 |
0.021 |
0.232 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 48 | 121 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.49 |
1.25 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.06 |
0.029 |
0.224 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 48 | 121 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.46 |
1.15 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.061 |
0.026 |
0.23 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 50 | 145 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.4 |
1.16 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.075 |
0.03 |
0.379 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 50 | 145 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.4 | 1.17 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.07 |
0.026 |
0.381 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 50 | 133 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.43 | 1.16 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.069 |
0.02 |
0.372 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 50 | 145 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.42 | 1.22 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.078 |
0.025 |
0.372 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 50 | 145 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.39 |
1.12 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.075 |
0.024 |
0.381 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.008 |
0.007 |
0.043 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.005 |
0.006 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.002 |
0.007 |
0.048 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.005 |
0.006 |
0.062 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.008 |
0.007 |
0.047 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.008 |
0.007 |
0.056 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 53 | 144 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.68 | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.049 |
0.039 |
0.227 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 88 | 173 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 1.7 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.064 |
0.06 |
0.388 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 119 | 198 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 1.64 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.086 |
0.073 |
0.794 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 72 | 177 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.77 |
1.88 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.055 |
0.045 |
0.236 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 126 | 218 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.07 | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.071 |
0.079 |
0.41 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 166 | 259 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.17 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.093 |
0.1 |
0.792 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 72 | 177 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.77 |
1.88 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.055 |
0.045 |
0.277 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 126 | 218 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.07 | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.071 |
0.08 |
0.414 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 166 | 259 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.17 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.094 |
0.097 |
0.856 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 80 | 148 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
1.47 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.06 |
0.064 |
0.293 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 50 | 180 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.38 | 1.38 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.076 |
0.025 |
0.529 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 154 | 154 | 52 | 217 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.34 | 1.41 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.102 |
0.02 |
3.379 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.005 |
0.022 |
0.05 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.002 |
0.001 |
0.047 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 7 | 8 | 0 | 0 | 5 | 0 |
normalized size | 1 | 1. | 1. | 1.14 | 0. | 0. | 0.71 | 0. |
time (sec) |
N/A |
0.009 |
0.001 |
0.044 |
0. |
0. |
0.528 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.009 |
0.021 |
0.05 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.009 |
0.021 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.006 |
0.023 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.003 |
0.004 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 14 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.08 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.01 |
0.001 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.009 |
0.021 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.009 |
0.022 |
0.046 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 260 | 260 | 144 | 269 | 270 | 366 | 0 | 0 |
normalized size |
1 |
1. |
0.55 |
1.03 |
1.04 |
1.41 |
0. |
0. |
time (sec) |
N/A |
0.321 |
0.208 |
0.008 |
0.995 |
2.393 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 96 | 177 | 196 | 242 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
1.16 |
1.29 |
1.59 |
0. |
0. |
time (sec) |
N/A |
0.169 |
0.101 |
0.004 |
0.993 |
2.348 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 53 | 96 | 122 | 126 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
1.6 |
2.03 |
2.1 |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.018 |
0.003 |
0.983 |
2.416 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 401 | 401 | 422 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.355 |
0.146 |
0.01 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 73 | 85 | 154 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
1.01 |
1.83 |
0. |
0. |
0. |
time (sec) |
N/A |
0.117 |
0.052 |
0.13 |
0.982 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 173 | 173 | 131 | 195 | 261 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.76 |
1.13 |
1.51 |
0. |
0. |
0. |
time (sec) |
N/A |
0.178 |
0.18 |
0.227 |
0.994 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 276 | 276 | 210 | 376 | 408 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.76 |
1.36 |
1.48 |
0. |
0. |
0. |
time (sec) |
N/A |
0.273 |
0.304 |
0.214 |
1.027 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 347 | 347 | 296 | 0 | 356 | 675 | 0 | 0 |
normalized size | 1 | 1. | 0.85 | 0. | 1.03 | 1.95 | 0. | 0. |
time (sec) |
N/A |
0.638 |
0.068 |
0.005 |
1.03 |
2.345 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 198 | 0 | 261 | 510 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 1.32 | 2.58 | 0. | 0. |
time (sec) |
N/A |
0.287 |
0.047 |
0.006 |
1.011 |
2.511 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 66 | 0 | 162 | 355 | 0 | 0 |
normalized size | 1 | 1. | 0.79 | 0. | 1.93 | 4.23 | 0. | 0. |
time (sec) |
N/A |
0.069 |
0.023 |
0.005 |
1.03 |
2.355 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.037 |
0.004 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 486 | 486 | 477 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.56 |
0.742 |
0.005 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 629 | 629 | 573 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.91 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.664 |
1.931 |
0.004 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 605 | 605 | 485 | 1177 | 919 | 1339 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
1.95 |
1.52 |
2.21 |
0. |
0. |
time (sec) |
N/A |
0.587 |
0.562 |
0.064 |
1.043 |
2.378 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 385 | 385 | 274 | 687 | 548 | 779 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
1.78 |
1.42 |
2.02 |
0. |
0. |
time (sec) |
N/A |
0.339 |
0.183 |
0.058 |
1.034 |
2.321 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 210 | 210 | 161 | 292 | 286 | 377 | 0 | 0 |
normalized size |
1 |
1. |
0.77 |
1.39 |
1.36 |
1.8 |
0. |
0. |
time (sec) |
N/A |
0.197 |
0.09 |
0.049 |
1.019 |
2.491 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 53 | 96 | 122 | 126 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
1.6 |
2.03 |
2.1 |
0. |
0. |
time (sec) |
N/A |
0.052 |
0.016 |
0.006 |
1.003 |
2.436 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 591 | 591 | 622 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.518 |
0.308 |
0.401 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 108 | 189 | 224 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
1.37 |
1.62 |
0. |
0. |
0. |
time (sec) |
N/A |
0.184 |
0.141 |
0.38 |
1.031 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 278 | 278 | 190 | 437 | 512 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
1.57 |
1.84 |
0. |
0. |
0. |
time (sec) |
N/A |
0.27 |
0.421 |
0.462 |
1.008 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 448 | 448 | 313 | 1075 | 1928 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.7 |
2.4 |
4.3 |
0. |
0. |
0. |
time (sec) |
N/A |
0.426 |
0.632 |
0.394 |
1.224 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 46 | 0 | 59 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 1.28 | 0. | 0. | 0. |
time (sec) |
N/A |
0.066 |
0.039 |
0.322 |
1.022 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 46 | 0 | 59 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 1.28 | 0. | 0. | 0. |
time (sec) |
N/A |
0.067 |
0.007 |
0.281 |
0.957 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 66 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 1.29 | 0. | 0. | 0. |
time (sec) |
N/A |
0.133 |
0.039 |
0.302 |
0.965 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 51 | 0 | 66 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 1.29 | 0. | 0. | 0. |
time (sec) |
N/A |
0.134 |
0.015 |
0.282 |
0.978 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 34 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.97 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.071 |
0.02 |
0.891 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
C |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 32 | 0 | 0 | 782 | 0 | 0 |
normalized size | 1 | 1. | 0.97 | 0. | 0. | 23.7 | 0. | 0. |
time (sec) |
N/A |
0.061 |
0.007 |
0.703 |
0. |
3.456 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 32 | 0 | 0 | 74 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
0. |
0. |
2.24 |
0. |
0. |
time (sec) |
N/A |
0.061 |
0.007 |
0.805 |
0. |
2.71 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 40 | 0 | 0 | 68 | 0 | 0 |
normalized size |
1 |
1. |
1.21 |
0. |
0. |
2.06 |
0. |
0. |
time (sec) |
N/A |
0.058 |
1.823 |
0.702 |
0. |
2.445 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 38 | 37 | 78 | 72 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
1.03 |
2.17 |
2. |
0. |
0. |
time (sec) |
N/A |
0.317 |
0.091 |
0.121 |
1.014 |
2.34 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 35 | 56 | 70 | 84 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
1.56 |
1.94 |
2.33 |
0. |
0. |
time (sec) |
N/A |
0.367 |
0.103 |
0.171 |
1.045 |
2.478 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 52 | 57 | 285 | 182 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.1 |
5.48 |
3.5 |
0. |
0. |
time (sec) |
N/A |
2.025 |
0.265 |
0.276 |
1.179 |
2.276 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 135 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.088 |
0.012 |
0.185 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 100 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.058 |
0.006 |
0.053 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 65 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.005 |
0.055 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 32 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.03 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.018 |
0.005 |
0.061 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.068 |
0.051 |
0.088 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 300 | 300 | 223 | 0 | 508 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
0. |
1.69 |
0. |
0. |
0. |
time (sec) |
N/A |
0.523 |
0.573 |
0.052 |
1.129 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 258 | 192 | 0 | 400 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
0. |
1.55 |
0. |
0. |
0. |
time (sec) |
N/A |
0.405 |
0.357 |
0.051 |
1.119 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 262 | 262 | 160 | 0 | 300 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.61 | 0. | 1.15 | 0. | 0. | 0. |
time (sec) |
N/A |
0.255 |
0.3 |
0.049 |
1.152 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 119 | 0 | 190 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.9 | 0. | 1.44 | 0. | 0. | 0. |
time (sec) |
N/A |
0.212 |
0.023 |
0.049 |
1.102 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 10 | 11 | 26 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.91 | 1. | 2.36 | 0. | 0. |
time (sec) |
N/A |
0.026 |
0.009 |
0.046 |
0.966 |
2.534 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 115 | 0 | 153 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 0. | 1.38 | 0. | 0. | 0. |
time (sec) |
N/A |
0.164 |
0.136 |
0.049 |
1.166 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 191 | 191 | 185 | 0 | 219 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.97 | 0. | 1.15 | 0. | 0. | 0. |
time (sec) |
N/A |
0.282 |
0.275 |
0.05 |
1.664 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 245 | 245 | 246 | 0 | 254 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0. |
1.04 |
0. |
0. |
0. |
time (sec) |
N/A |
0.355 |
0.235 |
0.05 |
1.653 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 287 | 287 | 277 | 0 | 289 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
0. |
1.01 |
0. |
0. |
0. |
time (sec) |
N/A |
0.449 |
0.236 |
0.05 |
1.74 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 423 | 366 | 252 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0.87 |
0.6 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.611 |
0.461 |
0.23 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 330 | 287 | 211 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0.87 |
0.64 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.449 |
0.339 |
0.227 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 167 | 167 | 149 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.89 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.211 |
0.068 |
0.199 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 19 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.95 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.058 |
0.011 |
0.155 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 165 | 150 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1.06 | 0.96 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.355 |
0.172 |
0.276 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 278 | 238 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1.05 |
0.89 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.496 |
0.256 |
0.333 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 340 | 351 | 301 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1.03 |
0.89 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.651 |
0.201 |
0.349 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 2995 | 2995 | 2610 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
4.6 |
11.481 |
0.493 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 2252 | 2252 | 1996 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
2.904 |
8.832 |
0.289 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1653 | 1653 | 1546 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.94 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
3.186 |
4.922 |
0.285 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.025 |
0.553 |
0.302 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 2498 | 2498 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
2.667 |
10.192 |
0.428 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3119 | 3119 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
3.238 |
10.412 |
0.521 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3733 | 3733 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
4.308 |
10.519 |
0.537 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 661 | 661 | 425 | 0 | 560 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0. |
0.85 |
0. |
0. |
0. |
time (sec) |
N/A |
0.982 |
0.755 |
0.007 |
1.04 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 546 | 546 | 362 | 0 | 466 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
0. |
0.85 |
0. |
0. |
0. |
time (sec) |
N/A |
0.718 |
0.611 |
0.007 |
1.038 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 390 | 390 | 285 | 0 | 348 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
0. |
0.89 |
0. |
0. |
0. |
time (sec) |
N/A |
0.449 |
0.49 |
0.005 |
1.007 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 137 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.9 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.338 |
0.235 |
0.005 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 135 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.03 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.314 |
0.714 |
0.008 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 331 | 331 | 285 | 0 | 288 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
0. |
0.87 |
0. |
0. |
0. |
time (sec) |
N/A |
0.541 |
1.188 |
0.007 |
1.164 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 460 | 460 | 389 | 0 | 387 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
0. |
0.84 |
0. |
0. |
0. |
time (sec) |
N/A |
0.672 |
1.304 |
0.006 |
1.201 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 584 | 584 | 505 | 0 | 460 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
0. |
0.79 |
0. |
0. |
0. |
time (sec) |
N/A |
0.845 |
1.518 |
0.007 |
1.189 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 900 | 900 | 583 | 0 | 699 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0. |
0.78 |
0. |
0. |
0. |
time (sec) |
N/A |
1.185 |
1.28 |
0.047 |
1.054 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 645 | 645 | 472 | 0 | 556 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
0. |
0.86 |
0. |
0. |
0. |
time (sec) |
N/A |
0.818 |
1.033 |
0.05 |
1.05 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 402 | 402 | 298 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.619 |
0.356 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 218 | 218 | 280 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.28 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.508 |
0.834 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 343 | 343 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.74 |
1.986 |
0.049 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 515 | 515 | 488 | 0 | 431 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
0. |
0.84 |
0. |
0. |
0. |
time (sec) |
N/A |
0.823 |
1.632 |
0.048 |
1.218 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 767 | 767 | 621 | 0 | 544 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
0. |
0.71 |
0. |
0. |
0. |
time (sec) |
N/A |
1.125 |
1.953 |
0.052 |
1.234 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [163] had the largest ratio of [ 1.214
]
|
|
|
|
|
|
|
| Table 2.1Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
2 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
3 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
4 |
A |
4 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
5 |
A |
3 |
3 |
1. |
5 |
0.6 |
|
|
|
|
|
|
|
6 |
A |
1 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
7 |
A |
5 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
8 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
9 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
10 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
11 |
A |
5 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
12 |
A |
5 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
13 |
A |
5 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
14 |
A |
4 |
3 |
1. |
5 |
0.6 |
|
|
|
|
|
|
|
15 |
A |
1 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
16 |
A |
6 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
17 |
A |
5 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
18 |
A |
5 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
19 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
20 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
|
21 |
A |
4 |
4 |
1. |
9 |
0.444 |
|
|
|
|
|
|
|
22 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
23 |
A |
6 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
24 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
25 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
26 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
27 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
28 |
A |
4 |
4 |
1. |
7 |
0.571 |
|
|
|
|
|
|
|
29 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
30 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
31 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
32 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
33 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
34 |
A |
5 |
4 |
1. |
9 |
0.444 |
|
|
|
|
|
|
|
35 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
36 |
A |
7 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
37 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
38 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
39 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
40 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
|
41 |
A |
5 |
4 |
1. |
7 |
0.571 |
|
|
|
|
|
|
|
42 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
43 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
44 |
A |
6 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
45 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
46 |
A |
3 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
47 |
A |
3 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
48 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
49 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
51 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
52 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
53 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
54 |
A |
4 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
55 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
56 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
57 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
58 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
59 |
A |
7 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
60 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
|
61 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
62 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
63 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
64 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
65 |
A |
9 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
66 |
A |
8 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
67 |
A |
7 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
68 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
69 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
70 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
71 |
A |
7 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
72 |
A |
9 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
73 |
A |
8 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
74 |
A |
8 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
75 |
A |
7 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
76 |
A |
7 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
77 |
A |
8 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
78 |
A |
10 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
79 |
A |
10 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
80 |
A |
9 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
|
81 |
A |
9 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
82 |
A |
8 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
83 |
A |
8 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
84 |
A |
9 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
85 |
A |
9 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
86 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
87 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
88 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
89 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
90 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
91 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
92 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
93 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
94 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
95 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
96 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
97 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
98 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
99 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
100 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
|
101 |
A |
2 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
102 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
103 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
104 |
A |
5 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
105 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
106 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
107 |
A |
6 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
108 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
109 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
110 |
A |
6 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
111 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
112 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
113 |
A |
6 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
114 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
115 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
116 |
A |
1 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
117 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
118 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
119 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
120 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
|
121 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
122 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
123 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
124 |
A |
13 |
8 |
1. |
13 |
0.615 |
|
|
|
|
|
|
|
125 |
A |
10 |
8 |
1. |
11 |
0.727 |
|
|
|
|
|
|
|
126 |
A |
7 |
7 |
1. |
9 |
0.778 |
|
|
|
|
|
|
|
127 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
128 |
A |
7 |
9 |
1. |
13 |
0.692 |
|
|
|
|
|
|
|
129 |
A |
11 |
11 |
1. |
13 |
0.846 |
|
|
|
|
|
|
|
130 |
A |
14 |
11 |
1. |
13 |
0.846 |
|
|
|
|
|
|
|
131 |
A |
33 |
13 |
1. |
13 |
1. |
|
|
|
|
|
|
|
132 |
A |
19 |
12 |
1. |
11 |
1.091 |
|
|
|
|
|
|
|
133 |
A |
9 |
8 |
1. |
9 |
0.889 |
|
|
|
|
|
|
|
134 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
135 |
A |
6 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
136 |
A |
12 |
13 |
1. |
13 |
1. |
|
|
|
|
|
|
|
137 |
A |
16 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
138 |
A |
13 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
139 |
A |
10 |
8 |
1. |
15 |
0.533 |
|
|
|
|
|
|
|
140 |
A |
7 |
7 |
1. |
9 |
0.778 |
|
|
|
|
|
|
|
|
141 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
142 |
A |
8 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
143 |
A |
12 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
144 |
A |
15 |
9 |
1. |
17 |
0.529 |
|
|
|
|
|
|
|
145 |
A |
5 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
146 |
A |
5 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
147 |
A |
8 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
148 |
A |
8 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
149 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
150 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
151 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
152 |
A |
1 |
1 |
1. |
37 |
0.027 |
|
|
|
|
|
|
|
153 |
A |
2 |
2 |
1. |
53 |
0.038 |
|
|
|
|
|
|
|
154 |
A |
2 |
2 |
1. |
53 |
0.038 |
|
|
|
|
|
|
|
155 |
A |
4 |
4 |
1. |
76 |
0.053 |
|
|
|
|
|
|
|
156 |
A |
5 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
157 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
158 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
159 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
160 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
|
161 |
A |
38 |
16 |
1. |
16 |
1. |
|
|
|
|
|
|
|
162 |
A |
31 |
16 |
1. |
16 |
1. |
|
|
|
|
|
|
|
163 |
A |
22 |
17 |
1. |
14 |
1.214 |
|
|
|
|
|
|
|
164 |
A |
15 |
12 |
1. |
13 |
0.923 |
|
|
|
|
|
|
|
165 |
A |
1 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
166 |
A |
10 |
13 |
1. |
16 |
0.812 |
|
|
|
|
|
|
|
167 |
A |
23 |
17 |
1. |
16 |
1.062 |
|
|
|
|
|
|
|
168 |
A |
30 |
17 |
1. |
16 |
1.062 |
|
|
|
|
|
|
|
169 |
A |
37 |
17 |
1. |
16 |
1.062 |
|
|
|
|
|
|
|
170 |
A |
37 |
20 |
0.87 |
20 |
1. |
|
|
|
|
|
|
|
171 |
A |
30 |
20 |
0.87 |
18 |
1.111 |
|
|
|
|
|
|
|
172 |
A |
18 |
14 |
1. |
17 |
0.824 |
|
|
|
|
|
|
|
173 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
174 |
A |
19 |
15 |
1.06 |
20 |
0.75 |
|
|
|
|
|
|
|
175 |
A |
31 |
22 |
1.05 |
20 |
1.1 |
|
|
|
|
|
|
|
176 |
A |
42 |
24 |
1.03 |
20 |
1.2 |
|
|
|
|
|
|
|
177 |
A |
108 |
20 |
1. |
27 |
0.741 |
|
|
|
|
|
|
|
178 |
A |
67 |
20 |
1. |
25 |
0.8 |
|
|
|
|
|
|
|
179 |
A |
42 |
17 |
1. |
24 |
0.708 |
|
|
|
|
|
|
|
180 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
|
181 |
A |
22 |
9 |
1. |
27 |
0.333 |
|
|
|
|
|
|
|
182 |
A |
44 |
16 |
1. |
27 |
0.593 |
|
|
|
|
|
|
|
183 |
A |
78 |
18 |
1. |
27 |
0.667 |
|
|
|
|
|
|
|
184 |
A |
52 |
17 |
1. |
21 |
0.81 |
|
|
|
|
|
|
|
185 |
A |
40 |
21 |
1. |
19 |
1.105 |
|
|
|
|
|
|
|
186 |
A |
26 |
20 |
1. |
18 |
1.111 |
|
|
|
|
|
|
|
187 |
A |
18 |
15 |
1. |
21 |
0.714 |
|
|
|
|
|
|
|
188 |
A |
13 |
17 |
1. |
21 |
0.81 |
|
|
|
|
|
|
|
189 |
A |
30 |
20 |
1. |
21 |
0.952 |
|
|
|
|
|
|
|
190 |
A |
41 |
19 |
1. |
21 |
0.905 |
|
|
|
|
|
|
|
191 |
A |
51 |
19 |
1. |
21 |
0.905 |
|
|
|
|
|
|
|
192 |
A |
60 |
22 |
1. |
24 |
0.917 |
|
|
|
|
|
|
|
193 |
A |
43 |
21 |
1. |
23 |
0.913 |
|
|
|
|
|
|
|
194 |
A |
29 |
24 |
1. |
26 |
0.923 |
|
|
|
|
|
|
|
195 |
A |
19 |
21 |
1. |
26 |
0.808 |
|
|
|
|
|
|
|
196 |
A |
32 |
22 |
1. |
26 |
0.846 |
|
|
|
|
|
|
|
197 |
A |
43 |
20 |
1. |
26 |
0.769 |
|
|
|
|
|
|
|
198 |
A |
61 |
19 |
1. |
26 |
0.731 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|