Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102,
103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121,
122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140,
141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159,
160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178,
179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197,
198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216,
217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235,
236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254
}
B grade: { }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33,
34, 35, 36, 37, 38, 39, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68,
70, 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,
129, 130, 131, 132, 133, 134, 135, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
156, 157, 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, 190, 191, 192, 193, 194, 195, 197, 198, 199, 200, 202, 203,
204, 206, 207, 208, 209, 210, 211, 212, 213, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224,
225, 226, 229, 230, 235, 236, 237, 238, 239, 240, 241, 243, 244, 245, 246, 247, 252, 253, 254
}
B grade: { 11, 40, 42, 44, 61, 72, 136, 138, 140, 158, 160 }
C grade: { 10, 12, 32, 41, 43, 69, 71, 123, 124, 125, 126, 127, 128, 137, 139, 159, 187, 188, 189, 196, 214,
227, 228, 231, 232, 233, 234, 242, 248, 249, 250, 251 }
F grade: { 201, 205}
2.1.3 Maple
A grade: { 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 18, 19, 20, 21, 22, 24, 25, 26, 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, 87, 105, 106, 107, 108, 112, 114, 130, 132, 133, 134, 135, 136, 137, 138, 139,
140, 142, 144, 146, 147, 148, 149, 150, 152, 153, 154, 156, 157, 158, 159, 160, 175, 190, 192, 193, 194, 202,
203, 204, 206, 207, 208, 210, 211, 212, 220, 221, 222, 224, 225, 226, 229, 238, 239, 240, 243, 244, 245, 246
}
B grade: { 1, 3, 13, 15, 17, 23, 27, 73, 74, 75, 76, 77, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 109, 111,
113, 129, 131, 141, 143, 145, 151, 155, 161, 162, 163, 164, 165, 170, 171, 172, 173, 174, 176,
178, 179, 180, 195, 196, 197, 198, 199, 200, 213, 214, 215, 216, 217, 218, 227, 228, 241, 242
}
C grade: { 78, 79, 93, 97, 98, 99, 100, 101, 102, 103, 104, 115, 116, 117, 118, 119, 121, 122,
166, 167, 168, 181, 182, 185, 186, 230, 231, 232, 233, 234, 235, 247, 248, 249, 250, 251, 252
}
F grade: { 80, 81, 94, 95, 96, 110, 120, 123, 124, 125, 126, 127, 128, 169, 177, 183, 184, 187, 188, 189,
191, 201, 205, 209, 219, 223, 236, 237, 253, 254 }
2.1.4 Maxima
A grade: { 1, 2, 3, 4, 5, 6, 7, 13, 14, 15, 16, 17, 23, 24, 25, 26, 33, 34, 35, 36, 37, 38, 39, 40, 45, 46, 47, 48,
49, 50, 51, 59, 60, 61, 62, 63, 64, 66, 129, 130, 131, 132, 133, 134, 135, 141, 142, 143, 144, 145, 151, 152,
153, 154, 190, 194, 212, 240
B grade: { 8, 9, 10, 11, 12, 18, 19, 20, 21, 22, 27, 28, 29, 30, 31, 32, 41, 42, 43, 44, 52, 53, 54, 55, 56, 57,
58, 65, 67, 68, 69, 70, 71, 72, 136, 137, 138, 139, 140, 146, 147, 148, 149, 150, 155, 156, 157, 158, 159, 160,
192, 193, 195, 196, 197, 198, 199, 200, 202, 203, 204, 206, 207, 208, 210, 211, 213, 214, 215, 216, 217, 218,
220, 221, 222, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 238, 239, 241, 242, 243, 244, 245,
246, 247, 248, 249, 250, 251, 252 }
C grade: { }
F grade: { 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, 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, 191, 201, 205, 209, 219, 223, 236,
237, 253, 254 }
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 28, 29, 31, 32, 33, 34,
35, 36, 37, 38, 39, 40, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 72,
77, 78, 79, 80, 94, 95, 96, 101, 102, 103, 104, 115, 116, 120, 121, 122, 129, 130, 131, 132, 133, 134, 135,
140, 141, 142, 143, 144, 145, 146, 147, 149, 151, 152, 153, 154, 155, 156, 157, 165, 166, 167, 168, 182, 183,
184, 190, 192, 193, 194, 195, 196, 197, 199, 202, 203, 204, 206, 207, 208, 210, 211, 212, 213, 215, 216,
217, 218, 220, 221, 222, 224, 225, 226, 227, 229, 238, 239, 240, 241, 242, 243, 244, 245, 246
}
B grade: { 8, 9, 20, 22, 27, 30, 41, 42, 43, 53, 55, 57, 69, 70, 71, 73, 74, 75, 76, 89, 90, 91, 92, 93, 97, 98,
99, 100, 117, 118, 119, 136, 137, 138, 139, 148, 150, 158, 159, 160, 161, 162, 163, 164, 177, 178, 179, 180,
181, 185, 186, 198, 200, 214, 228, 230, 231, 232, 233, 234, 235, 247, 248, 249, 250, 251, 252
}
C grade: { }
F grade: { 81, 82, 83, 84, 85, 86, 87, 88, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 123, 124, 125,
126, 127, 128, 169, 170, 171, 172, 173, 174, 175, 176, 187, 188, 189, 191, 201, 205, 209, 219, 223, 236, 237,
253, 254 }
2.1.6 Sympy
A grade: { 4, 5, 6, 7, 15, 16, 17, 26, 27, 132, 133, 134, 135, 143, 144, 145, 154, 155, 192, 193, 194, 202,
203, 206, 210, 211, 212, 220, 221, 224, 238, 239, 240, 245 }
B grade: { 195, 213, 227, 241 }
C grade: { }
F grade: { 1, 2, 3, 8, 9, 10, 11, 12, 13, 14, 18, 19, 20, 21, 22, 23, 24, 25, 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, 136, 137, 138, 139, 140, 141, 142, 146, 147, 148, 149, 150, 151, 152, 153, 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, 196, 197, 198, 199, 200,
201, 204, 205, 207, 208, 209, 214, 215, 216, 217, 218, 219, 222, 223, 225, 226, 228, 229, 230,
231, 232, 233, 234, 235, 236, 237, 242, 243, 244, 246, 247, 248, 249, 250, 251, 252, 253, 254
}
2.1.7 Giac
A grade: { 2, 4, 6, 7, 14, 16, 24, 26, 34, 36, 38, 40, 45, 47, 49, 51, 60, 62, 64, 66, 68, 130, 132,
134, 135, 136, 137, 139, 142, 144, 147, 149, 152, 154, 157, 159, 190, 192, 193, 194, 202, 203,
204, 206, 207, 208, 210, 211, 212, 220, 221, 222, 224, 225, 226, 238, 239, 240, 244, 245, 246
}
B grade: { 1, 3, 5, 8, 9, 10, 11, 12, 13, 15, 17, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 33, 35, 37, 39,
41, 42, 43, 44, 46, 48, 50, 52, 53, 54, 55, 56, 57, 58, 59, 61, 63, 65, 67, 69, 70, 71, 129, 131, 133,
138, 140, 141, 143, 145, 146, 148, 150, 151, 153, 155, 156, 158, 160, 195, 196, 197, 198, 199,
200, 213, 214, 215, 216, 217, 218, 227, 228, 229, 233, 234, 235, 241, 242, 243, 250, 251, 252
}
C grade: { }
F grade: { 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, 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, 191, 201, 205, 209, 219, 223, 230, 231, 232, 236, 237, 247, 248, 249, 253, 254
}
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 |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 111 | 123 | 238 | 0 | 149 |
normalized size |
1 |
1. |
0.77 |
1.82 |
2.02 |
3.9 |
0. |
2.44 |
time (sec) |
N/A |
0.057 |
0.466 |
0.082 |
1.237 |
0.53 |
0. |
1.522 |
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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 |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 97 | 108 | 132 | 0 | 130 |
normalized size |
1 |
1. |
0.77 |
1.59 |
1.77 |
2.16 |
0. |
2.13 |
time (sec) |
N/A |
0.058 |
0.325 |
0.023 |
1.175 |
0.522 |
0. |
1.438 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 83 | 93 | 174 | 0 | 111 |
normalized size |
1 |
1. |
0.8 |
1.8 |
2.02 |
3.78 |
0. |
2.41 |
time (sec) |
N/A |
0.055 |
0.251 |
0.012 |
1.213 |
0.504 |
0. |
1.38 |
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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 |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 69 | 78 | 96 | 163 | 92 |
normalized size | 1 | 1. | 0.8 | 1.5 | 1.7 | 2.09 | 3.54 | 2. |
time (sec) |
N/A |
0.055 |
0.146 |
0.013 |
1.258 |
0.49 |
65.169 |
1.237 |
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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 |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 55 | 63 | 108 | 126 | 73 |
normalized size | 1 | 1. | 0.87 | 1.77 | 2.03 | 3.48 | 4.06 | 2.35 |
time (sec) |
N/A |
0.05 |
0.09 |
0.012 |
1.188 |
0.481 |
16.938 |
1.276 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 41 | 49 | 62 | 92 | 54 |
normalized size | 1 | 1. | 0.87 | 1.32 | 1.58 | 2. | 2.97 | 1.74 |
time (sec) |
N/A |
0.05 |
0.066 |
0.01 |
1.231 |
0.479 |
4.359 |
1.294 |
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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 |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 15 | 27 | 35 | 57 | 51 | 35 |
normalized size | 1 | 1. | 0.5 | 0.9 | 1.17 | 1.9 | 1.7 | 1.17 |
time (sec) |
N/A |
0.011 |
0.032 |
0.007 |
1.099 |
0.471 |
1.125 |
1.306 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 20 | 155 | 76 | 0 | 235 |
normalized size |
1 |
1. |
1. |
1.43 |
11.07 |
5.43 |
0. |
16.79 |
time (sec) |
N/A |
0.017 |
0.005 |
0.036 |
1.79 |
0.485 |
0. |
1.52 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 50 | 36 | 319 | 154 | 0 | 556 |
normalized size |
1 |
1. |
1.79 |
1.29 |
11.39 |
5.5 |
0. |
19.86 |
time (sec) |
N/A |
0.038 |
0.039 |
0.032 |
1.228 |
0.495 |
0. |
1.643 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
C |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 29 | 55 | 1091 | 230 | 0 | 1918 |
normalized size |
1 |
1. |
0.59 |
1.12 |
22.27 |
4.69 |
0. |
39.14 |
time (sec) |
N/A |
0.063 |
0.017 |
0.037 |
1.882 |
0.5 |
0. |
2.205 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
B |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 205 | 78 | 2935 | 302 | 0 | 4088 |
normalized size |
1 |
1. |
3.11 |
1.18 |
44.47 |
4.58 |
0. |
61.94 |
time (sec) |
N/A |
0.067 |
0.445 |
0.036 |
1.391 |
0.505 |
0. |
4.72 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
C |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 31 | 97 | 4169 | 378 | 0 | 7623 |
normalized size |
1 |
1. |
0.35 |
1.09 |
46.84 |
4.25 |
0. |
85.65 |
time (sec) |
N/A |
0.069 |
0.03 |
0.038 |
2.318 |
0.523 |
0. |
13.169 |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 68 | 86 | 97 | 122 | 0 | 115 |
normalized size |
1 |
1. |
1.55 |
1.95 |
2.2 |
2.77 |
0. |
2.61 |
time (sec) |
N/A |
0.069 |
0.342 |
0.022 |
1.192 |
0.504 |
0. |
1.449 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 62 | 75 | 88 | 180 | 0 | 100 |
normalized size |
1 |
1. |
0.82 |
0.99 |
1.16 |
2.37 |
0. |
1.32 |
time (sec) |
N/A |
0.068 |
0.193 |
0.027 |
1.128 |
0.511 |
0. |
1.354 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 48 | 58 | 68 | 88 | 362 | 77 |
normalized size | 1 | 1. | 1.66 | 2. | 2.34 | 3.03 | 12.48 | 2.66 |
time (sec) |
N/A |
0.059 |
0.114 |
0.01 |
1.084 |
0.483 |
63.208 |
1.378 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 40 | 47 | 55 | 117 | 231 | 62 |
normalized size | 1 | 1. | 0.82 | 0.96 | 1.12 | 2.39 | 4.71 | 1.27 |
time (sec) |
N/A |
0.056 |
0.072 |
0.009 |
1.116 |
0.489 |
17.447 |
1.346 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 30 | 35 | 58 | 133 | 39 |
normalized size | 1 | 1. | 1. | 2. | 2.33 | 3.87 | 8.87 | 2.6 |
time (sec) |
N/A |
0.033 |
0.005 |
0.009 |
1.197 |
0.474 |
4.491 |
1.4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 13 | 74 | 36 | 0 | 128 |
normalized size |
1 |
1. |
1. |
0.93 |
5.29 |
2.57 |
0. |
9.14 |
time (sec) |
N/A |
0.026 |
0.011 |
0.022 |
1.13 |
0.498 |
0. |
1.507 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 12 | 72 | 47 | 0 | 205 |
normalized size |
1 |
1. |
1. |
0.92 |
5.54 |
3.62 |
0. |
15.77 |
time (sec) |
N/A |
0.035 |
0.008 |
0.091 |
1.113 |
0.453 |
0. |
1.477 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 36 | 27 | 865 | 155 | 0 | 991 |
normalized size |
1 |
1. |
1.2 |
0.9 |
28.83 |
5.17 |
0. |
33.03 |
time (sec) |
N/A |
0.048 |
0.036 |
0.036 |
1.122 |
0.499 |
0. |
1.634 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 48 | 51 | 416 | 109 | 0 | 1396 |
normalized size |
1 |
1. |
1.14 |
1.21 |
9.9 |
2.6 |
0. |
33.24 |
time (sec) |
N/A |
0.063 |
0.054 |
0.057 |
1.075 |
0.47 |
0. |
1.699 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 56 | 69 | 4271 | 289 | 0 | 3587 |
normalized size |
1 |
1. |
0.93 |
1.15 |
71.18 |
4.82 |
0. |
59.78 |
time (sec) |
N/A |
0.071 |
0.241 |
0.036 |
1.531 |
0.517 |
0. |
2.58 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 97 | 108 | 204 | 0 | 130 |
normalized size |
1 |
1. |
0.8 |
2.11 |
2.35 |
4.43 |
0. |
2.83 |
time (sec) |
N/A |
0.063 |
0.374 |
0.012 |
1.062 |
0.515 |
0. |
1.592 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 83 | 93 | 130 | 0 | 111 |
normalized size |
1 |
1. |
0.77 |
1.36 |
1.52 |
2.13 |
0. |
1.82 |
time (sec) |
N/A |
0.069 |
0.226 |
0.011 |
1.218 |
0.503 |
0. |
1.429 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 55 | 63 | 138 | 0 | 73 |
normalized size |
1 |
1. |
0.87 |
1.77 |
2.03 |
4.45 |
0. |
2.35 |
time (sec) |
N/A |
0.06 |
0.142 |
0.01 |
1.176 |
0.489 |
0. |
1.284 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 55 | 63 | 95 | 202 | 73 |
normalized size | 1 | 1. | 0.8 | 1.2 | 1.37 | 2.07 | 4.39 | 1.59 |
time (sec) |
N/A |
0.064 |
0.109 |
0.01 |
1.149 |
0.485 |
73.172 |
1.307 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 41 | 46 | 81 | 117 | 54 |
normalized size | 1 | 1. | 1. | 2.73 | 3.07 | 5.4 | 7.8 | 3.6 |
time (sec) |
N/A |
0.033 |
0.007 |
0.009 |
1.076 |
0.471 |
19.165 |
1.278 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 27 | 32 | 167 | 99 | 0 | 834 |
normalized size |
1 |
1. |
0.96 |
1.14 |
5.96 |
3.54 |
0. |
29.79 |
time (sec) |
N/A |
0.037 |
0.012 |
0.026 |
1.757 |
0.503 |
0. |
1.611 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 14 | 112 | 30 | 0 | 431 |
normalized size |
1 |
1. |
1. |
1.08 |
8.62 |
2.31 |
0. |
33.15 |
time (sec) |
N/A |
0.035 |
0.009 |
0.02 |
1.149 |
0.465 |
0. |
1.619 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 38 | 38 | 648 | 163 | 0 | 1500 |
normalized size |
1 |
1. |
1.12 |
1.12 |
19.06 |
4.79 |
0. |
44.12 |
time (sec) |
N/A |
0.041 |
0.011 |
0.066 |
1.72 |
0.492 |
0. |
2.188 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 61 | 49 | 1332 | 194 | 0 | 2854 |
normalized size |
1 |
1. |
1.42 |
1.14 |
30.98 |
4.51 |
0. |
66.37 |
time (sec) |
N/A |
0.053 |
0.026 |
0.035 |
1.294 |
0.502 |
0. |
2.825 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 29 | 76 | 2437 | 262 | 0 | 5443 |
normalized size |
1 |
1. |
0.41 |
1.09 |
34.81 |
3.74 |
0. |
77.76 |
time (sec) |
N/A |
0.072 |
0.035 |
0.036 |
2.067 |
0.509 |
0. |
5.79 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 119 | 71 | 123 | 136 | 0 | 365 |
normalized size |
1 |
1. |
1.95 |
1.16 |
2.02 |
2.23 |
0. |
5.98 |
time (sec) |
N/A |
0.061 |
0.094 |
0.036 |
1.068 |
0.538 |
0. |
1.936 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 48 | 97 | 108 | 207 | 0 | 62 |
normalized size |
1 |
1. |
0.79 |
1.59 |
1.77 |
3.39 |
0. |
1.02 |
time (sec) |
N/A |
0.061 |
0.214 |
0.06 |
1.224 |
0.52 |
0. |
1.826 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 89 | 53 | 93 | 99 | 0 | 275 |
normalized size |
1 |
1. |
1.93 |
1.15 |
2.02 |
2.15 |
0. |
5.98 |
time (sec) |
N/A |
0.056 |
0.058 |
0.029 |
1.15 |
0.503 |
0. |
1.596 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 38 | 69 | 78 | 142 | 0 | 49 |
normalized size |
1 |
1. |
0.83 |
1.5 |
1.7 |
3.09 |
0. |
1.07 |
time (sec) |
N/A |
0.057 |
0.098 |
0.056 |
1.163 |
0.495 |
0. |
1.403 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 59 | 35 | 63 | 63 | 0 | 186 |
normalized size |
1 |
1. |
1.9 |
1.13 |
2.03 |
2.03 |
0. |
6. |
time (sec) |
N/A |
0.052 |
0.038 |
0.029 |
1.14 |
0.482 |
0. |
1.4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 28 | 41 | 49 | 84 | 0 | 35 |
normalized size |
1 |
1. |
0.9 |
1.32 |
1.58 |
2.71 |
0. |
1.13 |
time (sec) |
N/A |
0.051 |
0.048 |
0.047 |
1.201 |
0.477 |
0. |
1.348 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 14 | 31 | 31 | 0 | 70 |
normalized size |
1 |
1. |
1. |
0.93 |
2.07 |
2.07 |
0. |
4.67 |
time (sec) |
N/A |
0.037 |
0.007 |
0.019 |
1.172 |
0.472 |
0. |
1.263 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 23 | 12 | 15 | 24 | 0 | 15 |
normalized size |
1 |
1. |
2.09 |
1.09 |
1.36 |
2.18 |
0. |
1.36 |
time (sec) |
N/A |
0.017 |
0.008 |
0.018 |
1.077 |
0.468 |
0. |
1.303 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 29 | 34 | 315 | 136 | 0 | 653 |
normalized size | 1 | 1. | 1.04 | 1.21 | 11.25 | 4.86 | 0. | 23.32 |
time (sec) |
N/A |
0.041 |
0.017 |
0.03 |
1.8 |
0.491 |
0. |
1.601 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 143 | 57 | 1315 | 262 | 0 | 1791 |
normalized size | 1 | 1. | 2.92 | 1.16 | 26.84 | 5.35 | 0. | 36.55 |
time (sec) |
N/A |
0.059 |
0.259 |
0.032 |
1.088 |
0.5 |
0. |
1.927 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 31 | 76 | 2403 | 342 | 0 | 4095 |
normalized size | 1 | 1. | 0.47 | 1.15 | 36.41 | 5.18 | 0. | 62.05 |
time (sec) |
N/A |
0.063 |
0.021 |
0.035 |
1.95 |
0.505 |
0. |
4.398 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 268 | 99 | 5192 | 417 | 0 | 7393 |
normalized size | 1 | 1. | 3.01 | 1.11 | 58.34 | 4.69 | 0. | 83.07 |
time (sec) |
N/A |
0.072 |
0.512 |
0.037 |
1.788 |
0.519 |
0. |
12.218 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 155 | 155 | 85 | 111 | 117 | 244 | 0 | 128 |
normalized size |
1 |
1. |
0.55 |
0.72 |
0.75 |
1.57 |
0. |
0.83 |
time (sec) |
N/A |
0.171 |
0.248 |
0.06 |
1.115 |
0.546 |
0. |
1.89 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 48 | 53 | 97 | 97 | 0 | 247 |
normalized size |
1 |
1. |
1.09 |
1.2 |
2.2 |
2.2 |
0. |
5.61 |
time (sec) |
N/A |
0.065 |
0.172 |
0.027 |
1.081 |
0.511 |
0. |
1.679 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 62 | 83 | 88 | 177 | 0 | 101 |
normalized size |
1 |
1. |
0.56 |
0.75 |
0.79 |
1.59 |
0. |
0.91 |
time (sec) |
N/A |
0.12 |
0.198 |
0.052 |
1.199 |
0.513 |
0. |
1.557 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 48 | 35 | 68 | 61 | 0 | 188 |
normalized size |
1 |
1. |
1.66 |
1.21 |
2.34 |
2.1 |
0. |
6.48 |
time (sec) |
N/A |
0.057 |
0.124 |
0.025 |
1.121 |
0.49 |
0. |
1.451 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 40 | 55 | 58 | 115 | 0 | 74 |
normalized size |
1 |
1. |
0.67 |
0.92 |
0.97 |
1.92 |
0. |
1.23 |
time (sec) |
N/A |
0.074 |
0.099 |
0.05 |
1.199 |
0.485 |
0. |
1.39 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 14 | 35 | 28 | 0 | 93 |
normalized size |
1 |
1. |
1. |
1.08 |
2.69 |
2.15 |
0. |
7.15 |
time (sec) |
N/A |
0.041 |
0.006 |
0.02 |
1.099 |
0.462 |
0. |
1.339 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 20 | 28 | 24 | 53 | 0 | 39 |
normalized size |
1 |
1. |
0.95 |
1.33 |
1.14 |
2.52 |
0. |
1.86 |
time (sec) |
N/A |
0.034 |
0.024 |
0.025 |
1.126 |
0.476 |
0. |
1.297 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 20 | 13 | 109 | 36 | 0 | 74 |
normalized size |
1 |
1. |
1.67 |
1.08 |
9.08 |
3. |
0. |
6.17 |
time (sec) |
N/A |
0.02 |
0.015 |
0.02 |
1.217 |
0.484 |
0. |
1.308 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 34 | 27 | 886 | 176 | 0 | 1098 |
normalized size | 1 | 1. | 1.13 | 0.9 | 29.53 | 5.87 | 0. | 36.6 |
time (sec) |
N/A |
0.042 |
0.052 |
0.03 |
1.225 |
0.5 |
0. |
1.47 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 48 | 51 | 416 | 136 | 0 | 1457 |
normalized size | 1 | 1. | 1.14 | 1.21 | 9.9 | 3.24 | 0. | 34.69 |
time (sec) |
N/A |
0.059 |
0.08 |
0.032 |
1.208 |
0.467 |
0. |
1.546 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 54 | 69 | 4304 | 367 | 0 | 3791 |
normalized size | 1 | 1. | 0.9 | 1.15 | 71.73 | 6.12 | 0. | 63.18 |
time (sec) |
N/A |
0.067 |
0.36 |
0.035 |
1.456 |
0.521 |
0. |
2.237 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 90 | 87 | 1656 | 228 | 0 | 4651 |
normalized size |
1 |
1. |
1.25 |
1.21 |
23. |
3.17 |
0. |
64.6 |
time (sec) |
N/A |
0.07 |
0.054 |
0.038 |
1.257 |
0.482 |
0. |
3.423 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 76 | 111 | 10328 | 514 | 0 | 8605 |
normalized size |
1 |
1. |
0.84 |
1.23 |
114.76 |
5.71 |
0. |
95.61 |
time (sec) |
N/A |
0.082 |
0.406 |
0.037 |
2.621 |
0.535 |
0. |
7.276 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 132 | 123 | 3659 | 324 | 0 | 10094 |
normalized size |
1 |
1. |
1.29 |
1.21 |
35.87 |
3.18 |
0. |
98.96 |
time (sec) |
N/A |
0.084 |
0.07 |
0.041 |
1.654 |
0.517 |
0. |
13.248 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 119 | 71 | 123 | 142 | 0 | 424 |
normalized size |
1 |
1. |
1.95 |
1.16 |
2.02 |
2.33 |
0. |
6.95 |
time (sec) |
N/A |
0.072 |
0.146 |
0.04 |
1.062 |
0.57 |
0. |
2.309 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 58 | 107 | 123 | 246 | 0 | 76 |
normalized size |
1 |
1. |
0.76 |
1.41 |
1.62 |
3.24 |
0. |
1. |
time (sec) |
N/A |
0.077 |
0.329 |
0.058 |
1.075 |
0.53 |
0. |
2.153 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 104 | 53 | 108 | 104 | 0 | 335 |
normalized size |
1 |
1. |
2.26 |
1.15 |
2.35 |
2.26 |
0. |
7.28 |
time (sec) |
N/A |
0.067 |
0.098 |
0.032 |
1.058 |
0.523 |
0. |
1.869 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 48 | 79 | 93 | 176 | 0 | 62 |
normalized size |
1 |
1. |
0.79 |
1.3 |
1.52 |
2.89 |
0. |
1.02 |
time (sec) |
N/A |
0.071 |
0.167 |
0.029 |
1.104 |
0.511 |
0. |
1.733 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 35 | 63 | 63 | 0 | 246 |
normalized size |
1 |
1. |
0.87 |
1.13 |
2.03 |
2.03 |
0. |
7.94 |
time (sec) |
N/A |
0.061 |
0.146 |
0.029 |
1.041 |
0.492 |
0. |
1.651 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 51 | 63 | 116 | 0 | 49 |
normalized size |
1 |
1. |
0.8 |
1.11 |
1.37 |
2.52 |
0. |
1.07 |
time (sec) |
N/A |
0.066 |
0.108 |
0.029 |
1.037 |
0.484 |
0. |
1.365 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 14 | 46 | 32 | 0 | 100 |
normalized size |
1 |
1. |
1. |
0.93 |
3.07 |
2.13 |
0. |
6.67 |
time (sec) |
N/A |
0.044 |
0.01 |
0.023 |
1.068 |
0.48 |
0. |
1.422 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 28 | 22 | 31 | 55 | 0 | 30 |
normalized size |
1 |
1. |
1.04 |
0.81 |
1.15 |
2.04 |
0. |
1.11 |
time (sec) |
N/A |
0.039 |
0.011 |
0.025 |
1.066 |
0.474 |
0. |
1.351 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 44 | 34 | 124 | 112 | 0 | 77 |
normalized size |
1 |
1. |
1.83 |
1.42 |
5.17 |
4.67 |
0. |
3.21 |
time (sec) |
N/A |
0.043 |
0.026 |
0.029 |
1.052 |
0.504 |
0. |
1.25 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 14 | 113 | 28 | 0 | 18 |
normalized size |
1 |
1. |
1. |
1.27 |
10.27 |
2.55 |
0. |
1.64 |
time (sec) |
N/A |
0.026 |
0.01 |
0.019 |
1.038 |
0.454 |
0. |
1.204 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 31 | 47 | 1126 | 254 | 0 | 2830 |
normalized size | 1 | 1. | 0.72 | 1.09 | 26.19 | 5.91 | 0. | 65.81 |
time (sec) |
N/A |
0.049 |
0.018 |
0.032 |
1.782 |
0.502 |
0. |
2.102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 129 | 78 | 3020 | 374 | 0 | 5096 |
normalized size | 1 | 1. | 1.84 | 1.11 | 43.14 | 5.34 | 0. | 72.8 |
time (sec) |
N/A |
0.073 |
4.633 |
0.036 |
1.343 |
0.509 |
0. |
4.403 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 31 | 97 | 4178 | 458 | 0 | 8529 |
normalized size |
1 |
1. |
0.38 |
1.2 |
51.58 |
5.65 |
0. |
105.3 |
time (sec) |
N/A |
0.073 |
0.035 |
0.039 |
2.32 |
0.516 |
0. |
11.886 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 278 | 120 | 5762 | 529 | 0 | 0 |
normalized size |
1 |
1. |
2.48 |
1.07 |
51.45 |
4.72 |
0. |
0. |
time (sec) |
N/A |
0.087 |
0.834 |
0.04 |
1.94 |
0.532 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 98 | 183661406 | 0 | 803 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
6 1.35045 10 |
0. |
5.9 |
0. |
0. |
time (sec) |
N/A |
0.094 |
0.288 |
59.26 |
0. |
0.564 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 86 | 65166864 | 0 | 771 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
592426. |
0. |
7.01 |
0. |
0. |
time (sec) |
N/A |
0.068 |
0.194 |
15.386 |
0. |
0.556 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 72 | 6219390 | 0 | 737 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
74040.4 |
0. |
8.77 |
0. |
0. |
time (sec) |
N/A |
0.043 |
0.072 |
1.171 |
0. |
0.538 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 50 | 15979424 | 0 | 657 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
275507. |
0. |
11.33 |
0. |
0. |
time (sec) |
N/A |
0.021 |
0.049 |
1.424 |
0. |
0.526 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 22 | 59131270 | 0 | 107 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
6 2.57092 10 |
0. |
4.65 |
0. |
0. |
time (sec) |
N/A |
0.018 |
0.018 |
8.56 |
0. |
0.487 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 43 | 597 | 0 | 184 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
11.26 |
0. |
3.47 |
0. |
0. |
time (sec) |
N/A |
0.04 |
0.103 |
18.474 |
0. |
0.51 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 52 | 308 | 0 | 231 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
3.9 |
0. |
2.92 |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.189 |
257.353 |
0. |
0.515 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 67 | 0 | 0 | 300 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0. |
0. |
2.86 |
0. |
0. |
time (sec) |
N/A |
0.083 |
0.146 |
180. |
0. |
0.526 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 96 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.98 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.06 |
0.394 |
180. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 66 | 278672995 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
6 4.03874 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.217 |
103.249 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 76 | 172329442 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.1 |
6 2.49753 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.345 |
48.767 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 34 | 16542587 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
413565. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.036 |
0.083 |
3.85 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 75 | 53350427 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.88 |
6 1.33376 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.245 |
8.632 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 41 | 83117872 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
6 1.84706 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.096 |
9.329 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 83 | 123 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.73 |
2.56 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.19 |
11.461 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 66 | 227 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
2.95 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.046 |
0.815 |
58.739 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 98 | 322248039 | 0 | 805 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
6 2.36947 10 |
0. |
5.92 |
0. |
0. |
time (sec) |
N/A |
0.101 |
0.34 |
127.454 |
0. |
0.569 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 86 | 47430975 | 0 | 774 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
431191. |
0. |
7.04 |
0. |
0. |
time (sec) |
N/A |
0.078 |
0.219 |
15.251 |
0. |
0.551 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 74 | 155734626 | 0 | 740 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
6 1.85398 10 |
0. |
8.81 |
0. |
0. |
time (sec) |
N/A |
0.054 |
0.141 |
33.727 |
0. |
0.547 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 72 | 149404972 | 0 | 815 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
6 1.84451 10 |
0. |
10.06 |
0. |
0. |
time (sec) |
N/A |
0.078 |
0.091 |
30.918 |
0. |
0.536 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 27 | 727 | 0 | 132 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
25.96 |
0. |
4.71 |
0. |
0. |
time (sec) |
N/A |
0.028 |
0.054 |
44.19 |
0. |
0.493 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 35 | 0 | 0 | 147 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0. |
0. |
2.67 |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.096 |
180. |
0. |
0.503 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 55 | 0 | 0 | 213 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
0. |
0. |
2.63 |
0. |
0. |
time (sec) |
N/A |
0.069 |
0.107 |
180. |
0. |
0.517 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 62 | 0 | 0 | 263 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
0. |
0. |
2.46 |
0. |
0. |
time (sec) |
N/A |
0.092 |
0.163 |
180. |
0. |
0.536 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 98 | 973 | 0 | 806 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
7.15 |
0. |
5.93 |
0. |
0. |
time (sec) |
N/A |
0.123 |
0.322 |
4.362 |
0. |
0.579 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 86 | 243 | 0 | 768 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
2.21 |
0. |
6.98 |
0. |
0. |
time (sec) |
N/A |
0.095 |
0.19 |
2.911 |
0. |
0.557 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 70 | 362 | 0 | 734 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
4.47 |
0. |
9.06 |
0. |
0. |
time (sec) |
N/A |
0.072 |
0.086 |
1.805 |
0. |
0.542 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 52 | 157 | 0 | 657 | 0 | 0 |
normalized size |
1 |
1. |
0.98 |
2.96 |
0. |
12.4 |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.041 |
1.042 |
0. |
0.52 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 23 | 308 | 0 | 103 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
12.83 |
0. |
4.29 |
0. |
0. |
time (sec) |
N/A |
0.024 |
0.047 |
1.546 |
0. |
0.491 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 43 | 194 | 0 | 192 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
3.66 |
0. |
3.62 |
0. |
0. |
time (sec) |
N/A |
0.064 |
0.1 |
2.469 |
0. |
0.498 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 52 | 481 | 0 | 267 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
6.09 |
0. |
3.38 |
0. |
0. |
time (sec) |
N/A |
0.086 |
0.124 |
5.486 |
0. |
0.514 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 67 | 222 | 0 | 320 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
2.11 |
0. |
3.05 |
0. |
0. |
time (sec) |
N/A |
0.108 |
0.138 |
30.944 |
0. |
0.53 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 66 | 204 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.62 |
1.92 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.058 |
0.295 |
7.493 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 76 | 139 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
1.31 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.258 |
5.161 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 34 | 137 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.45 |
1.83 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.078 |
3.971 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 73 | 111 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.04 |
1.59 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.048 |
0.86 |
2.622 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 37 | 176 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.84 |
4. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.036 |
0.127 |
2.096 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
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 | 48 | 48 | 82 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.71 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.951 |
180. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 64 | 227 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
2.95 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.58 |
6.056 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 66 | 154 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.86 |
2. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.048 |
0.461 |
9.525 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 85 | 240 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
2.26 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.058 |
0.814 |
30.493 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 86 | 167 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
1.58 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.344 |
47.27 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 100 | 441 | 0 | 802 | 0 | 0 |
normalized size |
1 |
1. |
0.53 |
2.32 |
0. |
4.22 |
0. |
0. |
time (sec) |
N/A |
0.186 |
0.435 |
26.75 |
0. |
0.574 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 84 | 973 | 0 | 772 | 0 | 0 |
normalized size |
1 |
1. |
0.51 |
5.93 |
0. |
4.71 |
0. |
0. |
time (sec) |
N/A |
0.156 |
0.22 |
19.125 |
0. |
0.56 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 70 | 243 | 0 | 737 | 0 | 0 |
normalized size |
1 |
1. |
0.55 |
1.91 |
0. |
5.8 |
0. |
0. |
time (sec) |
N/A |
0.131 |
0.13 |
7.616 |
0. |
0.54 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 68 | 542 | 0 | 814 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
5.21 |
0. |
7.83 |
0. |
0. |
time (sec) |
N/A |
0.102 |
0.098 |
6.01 |
0. |
0.53 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 27 | 192 | 0 | 140 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
6.86 |
0. |
5. |
0. |
0. |
time (sec) |
N/A |
0.028 |
0.049 |
3.405 |
0. |
0.488 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
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 | 55 | 55 | 35 | 0 | 0 | 198 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0. |
0. |
3.6 |
0. |
0. |
time (sec) |
N/A |
0.053 |
0.092 |
180. |
0. |
0.498 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 55 | 222 | 0 | 281 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
2.74 |
0. |
3.47 |
0. |
0. |
time (sec) |
N/A |
0.092 |
0.116 |
9.663 |
0. |
0.507 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 62 | 560 | 0 | 356 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
5.23 |
0. |
3.33 |
0. |
0. |
time (sec) |
N/A |
0.116 |
0.091 |
18.636 |
0. |
0.527 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 602 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
7.17 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.074 |
5.625 |
1.214 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 602 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
7.17 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.077 |
3.596 |
0.848 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 152 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.85 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.064 |
0.268 |
0.957 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 254 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.53 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.07 |
0.889 |
0.517 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 938 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
11.04 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.082 |
5.515 |
0.326 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 2421 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
28.48 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.081 |
14.423 |
0.345 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 111 | 123 | 136 | 0 | 149 |
normalized size |
1 |
1. |
0.77 |
1.82 |
2.02 |
2.23 |
0. |
2.44 |
time (sec) |
N/A |
0.06 |
0.454 |
0.024 |
1.082 |
0.538 |
0. |
1.664 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 97 | 108 | 205 | 0 | 130 |
normalized size |
1 |
1. |
0.77 |
1.59 |
1.77 |
3.36 |
0. |
2.13 |
time (sec) |
N/A |
0.061 |
0.315 |
0.036 |
1.121 |
0.519 |
0. |
1.528 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 83 | 93 | 99 | 0 | 111 |
normalized size |
1 |
1. |
0.8 |
1.8 |
2.02 |
2.15 |
0. |
2.41 |
time (sec) |
N/A |
0.055 |
0.264 |
0.023 |
1.027 |
0.504 |
0. |
1.386 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 69 | 78 | 142 | 162 | 92 |
normalized size | 1 | 1. | 0.8 | 1.5 | 1.7 | 3.09 | 3.52 | 2. |
time (sec) |
N/A |
0.054 |
0.131 |
0.027 |
1.052 |
0.504 |
76.047 |
1.265 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 55 | 63 | 62 | 128 | 73 |
normalized size | 1 | 1. | 0.87 | 1.77 | 2.03 | 2. | 4.13 | 2.35 |
time (sec) |
N/A |
0.05 |
0.09 |
0.019 |
1.011 |
0.478 |
22.704 |
1.245 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 41 | 49 | 84 | 90 | 54 |
normalized size | 1 | 1. | 0.87 | 1.32 | 1.58 | 2.71 | 2.9 | 1.74 |
time (sec) |
N/A |
0.048 |
0.063 |
0.022 |
1.033 |
0.478 |
6.312 |
1.252 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 15 | 27 | 35 | 31 | 53 | 35 |
normalized size | 1 | 1. | 0.5 | 0.9 | 1.17 | 1.03 | 1.77 | 1.17 |
time (sec) |
N/A |
0.011 |
0.006 |
0.014 |
1.067 |
0.483 |
1.329 |
1.251 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 42 | 22 | 113 | 93 | 0 | 22 |
normalized size |
1 |
1. |
3. |
1.57 |
8.07 |
6.64 |
0. |
1.57 |
time (sec) |
N/A |
0.016 |
0.012 |
0.019 |
1.158 |
0.491 |
0. |
1.193 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 29 | 34 | 315 | 136 | 0 | 51 |
normalized size |
1 |
1. |
1.04 |
1.21 |
11.25 |
4.86 |
0. |
1.82 |
time (sec) |
N/A |
0.038 |
0.018 |
0.023 |
1.818 |
0.498 |
0. |
1.235 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 143 | 57 | 1315 | 262 | 0 | 189 |
normalized size |
1 |
1. |
2.92 |
1.16 |
26.84 |
5.35 |
0. |
3.86 |
time (sec) |
N/A |
0.055 |
0.255 |
0.027 |
1.255 |
0.499 |
0. |
1.275 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 31 | 76 | 2403 | 343 | 0 | 97 |
normalized size |
1 |
1. |
0.47 |
1.15 |
36.41 |
5.2 |
0. |
1.47 |
time (sec) |
N/A |
0.059 |
0.024 |
0.027 |
2.169 |
0.515 |
0. |
1.301 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 268 | 99 | 5192 | 419 | 0 | 282 |
normalized size |
1 |
1. |
3.01 |
1.11 |
58.34 |
4.71 |
0. |
3.17 |
time (sec) |
N/A |
0.067 |
0.489 |
0.032 |
1.863 |
0.519 |
0. |
1.348 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 68 | 86 | 97 | 96 | 0 | 115 |
normalized size |
1 |
1. |
1.55 |
1.95 |
2.2 |
2.18 |
0. |
2.61 |
time (sec) |
N/A |
0.067 |
0.402 |
0.021 |
1.15 |
0.511 |
0. |
1.415 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 62 | 75 | 88 | 177 | 0 | 100 |
normalized size |
1 |
1. |
0.82 |
0.99 |
1.16 |
2.33 |
0. |
1.32 |
time (sec) |
N/A |
0.064 |
0.189 |
0.03 |
1.156 |
0.511 |
0. |
1.341 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 48 | 58 | 68 | 61 | 359 | 77 |
normalized size | 1 | 1. | 1.71 | 2.07 | 2.43 | 2.18 | 12.82 | 2.75 |
time (sec) |
N/A |
0.057 |
0.122 |
0.017 |
1.11 |
0.493 |
174.245 |
1.231 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 40 | 47 | 58 | 116 | 231 | 62 |
normalized size | 1 | 1. | 0.82 | 0.96 | 1.18 | 2.37 | 4.71 | 1.27 |
time (sec) |
N/A |
0.054 |
0.094 |
0.023 |
1.201 |
0.491 |
28.56 |
1.285 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 30 | 35 | 31 | 131 | 39 |
normalized size | 1 | 1. | 1. | 2. | 2.33 | 2.07 | 8.73 | 2.6 |
time (sec) |
N/A |
0.033 |
0.006 |
0.013 |
1.121 |
0.475 |
5.989 |
1.29 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 22 | 13 | 111 | 39 | 0 | 76 |
normalized size |
1 |
1. |
1.57 |
0.93 |
7.93 |
2.79 |
0. |
5.43 |
time (sec) |
N/A |
0.025 |
0.015 |
0.014 |
1.18 |
0.491 |
0. |
1.281 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 12 | 72 | 49 | 0 | 18 |
normalized size |
1 |
1. |
1. |
0.92 |
5.54 |
3.77 |
0. |
1.38 |
time (sec) |
N/A |
0.033 |
0.013 |
0.02 |
1.15 |
0.458 |
0. |
1.194 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 34 | 27 | 886 | 177 | 0 | 161 |
normalized size |
1 |
1. |
1.13 |
0.9 |
29.53 |
5.9 |
0. |
5.37 |
time (sec) |
N/A |
0.047 |
0.044 |
0.023 |
1.202 |
0.5 |
0. |
1.285 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 48 | 51 | 416 | 136 | 0 | 47 |
normalized size |
1 |
1. |
1.14 |
1.21 |
9.9 |
3.24 |
0. |
1.12 |
time (sec) |
N/A |
0.06 |
0.052 |
0.03 |
1.137 |
0.469 |
0. |
1.264 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 54 | 69 | 4304 | 369 | 0 | 313 |
normalized size |
1 |
1. |
0.9 |
1.15 |
71.73 |
6.15 |
0. |
5.22 |
time (sec) |
N/A |
0.068 |
0.367 |
0.027 |
1.507 |
0.517 |
0. |
1.296 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 97 | 108 | 103 | 0 | 130 |
normalized size |
1 |
1. |
0.8 |
2.11 |
2.35 |
2.24 |
0. |
2.83 |
time (sec) |
N/A |
0.061 |
0.39 |
0.024 |
1.126 |
0.519 |
0. |
1.408 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 83 | 93 | 174 | 0 | 111 |
normalized size |
1 |
1. |
0.77 |
1.36 |
1.52 |
2.85 |
0. |
1.82 |
time (sec) |
N/A |
0.065 |
0.212 |
0.03 |
1.166 |
0.511 |
0. |
1.213 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 55 | 63 | 62 | 0 | 73 |
normalized size |
1 |
1. |
0.87 |
1.77 |
2.03 |
2. |
0. |
2.35 |
time (sec) |
N/A |
0.056 |
0.136 |
0.017 |
1.106 |
0.499 |
0. |
1.3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 55 | 63 | 115 | 202 | 73 |
normalized size | 1 | 1. | 0.8 | 1.2 | 1.37 | 2.5 | 4.39 | 1.59 |
time (sec) |
N/A |
0.06 |
0.092 |
0.026 |
1.097 |
0.481 |
77.694 |
1.222 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 41 | 46 | 31 | 117 | 54 |
normalized size | 1 | 1. | 1. | 2.73 | 3.07 | 2.07 | 7.8 | 3.6 |
time (sec) |
N/A |
0.033 |
0.008 |
0.014 |
1.121 |
0.491 |
19.201 |
1.216 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 46 | 34 | 124 | 115 | 0 | 77 |
normalized size |
1 |
1. |
1.64 |
1.21 |
4.43 |
4.11 |
0. |
2.75 |
time (sec) |
N/A |
0.035 |
0.019 |
0.022 |
1.121 |
0.5 |
0. |
1.244 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 14 | 113 | 31 | 0 | 18 |
normalized size |
1 |
1. |
1. |
1.08 |
8.69 |
2.38 |
0. |
1.38 |
time (sec) |
N/A |
0.035 |
0.012 |
0.017 |
1.061 |
0.459 |
0. |
1.232 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 79 | 40 | 753 | 203 | 0 | 124 |
normalized size |
1 |
1. |
2.32 |
1.18 |
22.15 |
5.97 |
0. |
3.65 |
time (sec) |
N/A |
0.041 |
0.015 |
0.048 |
1.206 |
0.493 |
0. |
1.315 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 31 | 47 | 1126 | 254 | 0 | 70 |
normalized size |
1 |
1. |
0.72 |
1.09 |
26.19 |
5.91 |
0. |
1.63 |
time (sec) |
N/A |
0.051 |
0.018 |
0.027 |
2.416 |
0.502 |
0. |
1.233 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 195 | 78 | 3020 | 375 | 0 | 220 |
normalized size |
1 |
1. |
2.79 |
1.11 |
43.14 |
5.36 |
0. |
3.14 |
time (sec) |
N/A |
0.07 |
0.338 |
0.03 |
1.495 |
0.507 |
0. |
1.312 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 98 | 199880296 | 0 | 806 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
6 1.46971 10 |
0. |
5.93 |
0. |
0. |
time (sec) |
N/A |
0.091 |
0.357 |
61.386 |
0. |
0.573 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 86 | 74316378 | 0 | 768 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
675603. |
0. |
6.98 |
0. |
0. |
time (sec) |
N/A |
0.067 |
0.186 |
18.977 |
0. |
0.551 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 70 | 5339854 | 0 | 736 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
63569.7 |
0. |
8.76 |
0. |
0. |
time (sec) |
N/A |
0.043 |
0.097 |
1.177 |
0. |
0.533 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 52 | 622763 | 0 | 657 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
10737.3 |
0. |
11.33 |
0. |
0. |
time (sec) |
N/A |
0.021 |
0.047 |
0.355 |
0. |
0.53 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 23 | 55926091 | 0 | 108 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
6 2.33025 10 |
0. |
4.5 |
0. |
0. |
time (sec) |
N/A |
0.018 |
0.02 |
6.793 |
0. |
0.491 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 43 | 194 | 0 | 193 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
3.66 |
0. |
3.64 |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.102 |
6.571 |
0. |
0.504 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 52 | 481 | 0 | 269 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
6.09 |
0. |
3.41 |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.121 |
89.464 |
0. |
0.514 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 67 | 222 | 0 | 320 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
2.11 |
0. |
3.05 |
0. |
0. |
time (sec) |
N/A |
0.08 |
0.143 |
183.381 |
0. |
0.535 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 96 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.98 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.057 |
0.385 |
180. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 66 | 336654858 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
6 4.87906 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.045 |
0.208 |
110.597 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 76 | 174364218 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.1 |
6 2.52702 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.045 |
0.348 |
33.345 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 34 | 24847123 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
621178. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.035 |
0.058 |
3.975 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 76 | 59635246 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.9 |
6 1.49088 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.035 |
0.864 |
8.96 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 39 | 94273592 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
6 2.04943 10 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.036 |
0.114 |
9.786 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 82 | 123 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.71 |
2.56 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.036 |
1.007 |
11.904 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 64 | 227 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
2.95 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.046 |
0.562 |
71.1 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 99 | 0 | 0 | 803 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
0. |
0. |
5.9 |
0. |
0. |
time (sec) |
N/A |
0.099 |
0.328 |
180. |
0. |
0.562 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 84 | 88762396 | 0 | 774 | 0 | 0 |
normalized size |
1 |
1. |
0.76 |
806931. |
0. |
7.04 |
0. |
0. |
time (sec) |
N/A |
0.076 |
0.182 |
19.511 |
0. |
0.55 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 73 | 190984194 | 0 | 738 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
6 2.27362 10 |
0. |
8.79 |
0. |
0. |
time (sec) |
N/A |
0.052 |
0.11 |
38.924 |
0. |
0.545 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 70 | 179366588 | 0 | 815 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
6 2.1874 10 |
0. |
9.94 |
0. |
0. |
time (sec) |
N/A |
0.076 |
0.089 |
29.262 |
0. |
0.541 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 27 | 192 | 0 | 142 | 0 | 0 |
normalized size |
1 |
1. |
0.96 |
6.86 |
0. |
5.07 |
0. |
0. |
time (sec) |
N/A |
0.027 |
0.054 |
52.142 |
0. |
0.49 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 35 | 482 | 0 | 200 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
8.76 |
0. |
3.64 |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.093 |
213.665 |
0. |
0.501 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
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 | 81 | 81 | 55 | 0 | 0 | 282 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
0. |
0. |
3.48 |
0. |
0. |
time (sec) |
N/A |
0.068 |
0.114 |
180. |
0. |
0.506 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
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 | 107 | 107 | 62 | 0 | 0 | 358 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
0. |
0. |
3.35 |
0. |
0. |
time (sec) |
N/A |
0.09 |
0.094 |
180. |
0. |
0.526 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 29 | 98 | 0 | 455 | 0 | 0 |
normalized size |
1 |
1. |
0.94 |
3.16 |
0. |
14.68 |
0. |
0. |
time (sec) |
N/A |
0.013 |
0.025 |
0.046 |
0. |
0.508 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 99 | 0 | 455 | 0 | 0 |
normalized size |
1 |
1. |
1. |
3.96 |
0. |
18.2 |
0. |
0. |
time (sec) |
N/A |
0.03 |
0.016 |
0.046 |
0. |
0.508 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 2472 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
29.08 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.071 |
13.303 |
0.992 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 890 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
10.47 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.071 |
7.969 |
0.875 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 149 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.8 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.061 |
0.244 |
0.914 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 37 | 69 | 78 | 95 | 0 | 92 |
normalized size |
1 |
1. |
0.8 |
1.5 |
1.7 |
2.07 |
0. |
2. |
time (sec) |
N/A |
0.097 |
0.163 |
0.023 |
1.223 |
0.491 |
0. |
1.858 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 293 | 293 | 209 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.848 |
0.857 |
1.304 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 86 | 84 | 1237 | 267 | 921 | 113 |
normalized size | 1 | 1. | 0.95 | 0.92 | 13.59 | 2.93 | 10.12 | 1.24 |
time (sec) |
N/A |
0.076 |
0.511 |
0.027 |
1.606 |
0.508 |
133.383 |
1.137 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 69 | 57 | 559 | 171 | 401 | 76 |
normalized size | 1 | 1. | 1.11 | 0.92 | 9.02 | 2.76 | 6.47 | 1.23 |
time (sec) |
N/A |
0.053 |
0.714 |
0.016 |
1.339 |
0.494 |
10.725 |
1.116 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 40 | 54 | 99 | 153 | 54 |
normalized size | 1 | 1. | 1. | 0.93 | 1.26 | 2.3 | 3.56 | 1.26 |
time (sec) |
N/A |
0.035 |
0.187 |
0.016 |
1.249 |
0.475 |
3.613 |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 325 | 146 | 77 | 335 | 319 |
normalized size | 1 | 1. | 1. | 12.5 | 5.62 | 2.96 | 12.88 | 12.27 |
time (sec) |
N/A |
0.027 |
0.141 |
0.201 |
1.337 |
0.496 |
18.406 |
1.211 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 90 | 890 | 613 | 203 | 0 | 471 |
normalized size |
1 |
1. |
2.5 |
24.72 |
17.03 |
5.64 |
0. |
13.08 |
time (sec) |
N/A |
0.033 |
0.097 |
0.446 |
1.283 |
0.502 |
0. |
1.136 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 35 | 120 | 539 | 113 | 0 | 196 |
normalized size |
1 |
1. |
0.9 |
3.08 |
13.82 |
2.9 |
0. |
5.03 |
time (sec) |
N/A |
0.044 |
0.19 |
0.602 |
1.193 |
0.47 |
0. |
1.173 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 67 | 14880 | 2394 | 377 | 0 | 2998 |
normalized size |
1 |
1. |
1. |
222.09 |
35.73 |
5.63 |
0. |
44.75 |
time (sec) |
N/A |
0.046 |
0.553 |
2.466 |
1.655 |
0.516 |
0. |
1.242 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 58 | 321 | 1453 | 193 | 0 | 406 |
normalized size |
1 |
1. |
0.97 |
5.35 |
24.22 |
3.22 |
0. |
6.77 |
time (sec) |
N/A |
0.047 |
0.374 |
1.888 |
1.574 |
0.481 |
0. |
1.157 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 79 | 97954 | 5237 | 543 | 0 | 10847 |
normalized size |
1 |
1. |
0.84 |
1042.06 |
55.71 |
5.78 |
0. |
115.39 |
time (sec) |
N/A |
0.058 |
1.165 |
10.075 |
2.231 |
0.532 |
0. |
1.32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
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 | 410 | 410 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.973 |
0.375 |
1.504 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 80 | 63 | 501 | 155 | 410 | 82 |
normalized size | 1 | 1. | 1.18 | 0.93 | 7.37 | 2.28 | 6.03 | 1.21 |
time (sec) |
N/A |
0.054 |
0.351 |
0.017 |
1.149 |
0.477 |
18.268 |
1.138 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 106 | 83 | 837 | 263 | 1027 | 108 |
normalized size | 1 | 1. | 1.2 | 0.94 | 9.51 | 2.99 | 11.67 | 1.23 |
time (sec) |
N/A |
0.065 |
0.792 |
0.027 |
1.247 |
0.512 |
40.937 |
1.168 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 158 | 133 | 1839 | 429 | 0 | 174 |
normalized size |
1 |
1. |
1.1 |
0.92 |
12.77 |
2.98 |
0. |
1.21 |
time (sec) |
N/A |
0.097 |
1.645 |
0.023 |
1.461 |
0.545 |
0. |
1.166 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
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 | 600 | 600 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
1.722 |
0.542 |
1.488 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 91 | 90 | 1065 | 246 | 957 | 120 |
normalized size | 1 | 1. | 0.94 | 0.93 | 10.98 | 2.54 | 9.87 | 1.24 |
time (sec) |
N/A |
0.075 |
0.518 |
0.024 |
1.388 |
0.499 |
88.981 |
1.132 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 153 | 127 | 1836 | 427 | 0 | 167 |
normalized size |
1 |
1. |
1.11 |
0.92 |
13.3 |
3.09 |
0. |
1.21 |
time (sec) |
N/A |
0.098 |
1.672 |
0.022 |
1.559 |
0.534 |
0. |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 195 | 195 | 177 | 184 | 3526 | 652 | 0 | 244 |
normalized size |
1 |
1. |
0.91 |
0.94 |
18.08 |
3.34 |
0. |
1.25 |
time (sec) |
N/A |
0.132 |
1.657 |
0.046 |
2.036 |
0.574 |
0. |
1.121 |
|
|
|
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Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 277 | 277 | 202 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.589 |
0.975 |
0.698 |
0. |
0. |
0. |
0. |
|
|
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Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 87 | 84 | 1231 | 239 | 923 | 113 |
normalized size | 1 | 1. | 0.96 | 0.92 | 13.53 | 2.63 | 10.14 | 1.24 |
time (sec) |
N/A |
0.066 |
0.509 |
0.019 |
1.284 |
0.512 |
79.467 |
1.16 |
|
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Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 71 | 57 | 559 | 162 | 401 | 76 |
normalized size | 1 | 1. | 1.15 | 0.92 | 9.02 | 2.61 | 6.47 | 1.23 |
time (sec) |
N/A |
0.047 |
0.781 |
0.016 |
1.212 |
0.491 |
12.126 |
1.139 |
|
|
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Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 40 | 54 | 100 | 155 | 54 |
normalized size | 1 | 1. | 1. | 0.93 | 1.26 | 2.33 | 3.6 | 1.26 |
time (sec) |
N/A |
0.036 |
0.196 |
0.014 |
1.178 |
0.474 |
2.872 |
1.135 |
|
|
|
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Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 563 | 99 | 74 | 435 | 213 |
normalized size | 1 | 1. | 1. | 20.85 | 3.67 | 2.74 | 16.11 | 7.89 |
time (sec) |
N/A |
0.018 |
0.142 |
0.201 |
1.259 |
0.498 |
169.994 |
1.161 |
|
|
|
|
|
|
|
|
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|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 88 | 888 | 522 | 186 | 0 | 335 |
normalized size |
1 |
1. |
2.59 |
26.12 |
15.35 |
5.47 |
0. |
9.85 |
time (sec) |
N/A |
0.027 |
0.091 |
0.424 |
2.042 |
0.504 |
0. |
1.178 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 34 | 150 | 528 | 109 | 0 | 235 |
normalized size |
1 |
1. |
0.89 |
3.95 |
13.89 |
2.87 |
0. |
6.18 |
time (sec) |
N/A |
0.037 |
0.174 |
0.595 |
1.181 |
0.49 |
0. |
1.197 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 64 | 14825 | 1922 | 258 | 0 | 668 |
normalized size |
1 |
1. |
0.96 |
221.27 |
28.69 |
3.85 |
0. |
9.97 |
time (sec) |
N/A |
0.042 |
0.431 |
2.318 |
2.161 |
0.527 |
0. |
1.201 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 48 | 381 | 1450 | 142 | 0 | 441 |
normalized size |
1 |
1. |
0.81 |
6.46 |
24.58 |
2.41 |
0. |
7.47 |
time (sec) |
N/A |
0.051 |
0.339 |
1.819 |
1.191 |
0.495 |
0. |
1.246 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 78 | 97703 | 4180 | 294 | 0 | 1021 |
normalized size |
1 |
1. |
0.83 |
1039.39 |
44.47 |
3.13 |
0. |
10.86 |
time (sec) |
N/A |
0.07 |
1.003 |
9.186 |
2.661 |
0.548 |
0. |
1.214 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 386 | 386 | 242 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.7 |
1.786 |
0.751 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 76 | 63 | 501 | 155 | 410 | 82 |
normalized size | 1 | 1. | 1.12 | 0.93 | 7.37 | 2.28 | 6.03 | 1.21 |
time (sec) |
N/A |
0.051 |
0.784 |
0.023 |
1.213 |
0.489 |
9.755 |
1.151 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 108 | 83 | 837 | 246 | 1027 | 108 |
normalized size | 1 | 1. | 1.23 | 0.94 | 9.51 | 2.8 | 11.67 | 1.23 |
time (sec) |
N/A |
0.068 |
0.782 |
0.028 |
1.21 |
0.509 |
151.378 |
1.127 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 158 | 133 | 1839 | 393 | 0 | 174 |
normalized size |
1 |
1. |
1.1 |
0.92 |
12.77 |
2.73 |
0. |
1.21 |
time (sec) |
N/A |
0.096 |
1.826 |
0.036 |
1.416 |
0.527 |
0. |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 568 | 568 | 329 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
1.18 |
24.644 |
0.762 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 90 | 90 | 1060 | 247 | 964 | 120 |
normalized size | 1 | 1. | 0.93 | 0.93 | 10.93 | 2.55 | 9.94 | 1.24 |
time (sec) |
N/A |
0.068 |
0.523 |
0.02 |
1.267 |
0.505 |
88.4 |
1.127 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 153 | 127 | 1836 | 404 | 0 | 167 |
normalized size |
1 |
1. |
1.11 |
0.92 |
13.3 |
2.93 |
0. |
1.21 |
time (sec) |
N/A |
0.096 |
1.641 |
0.023 |
1.43 |
0.54 |
0. |
1.141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 195 | 195 | 176 | 184 | 3526 | 591 | 0 | 244 |
normalized size |
1 |
1. |
0.9 |
0.94 |
18.08 |
3.03 |
0. |
1.25 |
time (sec) |
N/A |
0.124 |
1.602 |
0.029 |
1.889 |
0.588 |
0. |
1.133 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 58 | 325 | 143 | 77 | 335 | 651 |
normalized size | 1 | 1. | 2.15 | 12.04 | 5.3 | 2.85 | 12.41 | 24.11 |
time (sec) |
N/A |
0.017 |
0.173 |
0.184 |
1.113 |
0.501 |
10.342 |
1.228 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 90 | 1062 | 608 | 203 | 0 | 1326 |
normalized size |
1 |
1. |
2.57 |
30.34 |
17.37 |
5.8 |
0. |
37.89 |
time (sec) |
N/A |
0.028 |
0.096 |
0.452 |
1.31 |
0.517 |
0. |
1.332 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 35 | 55 | 533 | 113 | 0 | 441 |
normalized size |
1 |
1. |
0.92 |
1.45 |
14.03 |
2.97 |
0. |
11.61 |
time (sec) |
N/A |
0.043 |
0.197 |
0.544 |
1.122 |
0.469 |
0. |
1.262 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
B |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 70 | 186 | 1386 | 1015 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
2.58 |
19.25 |
14.1 |
0. |
0. |
time (sec) |
N/A |
0.071 |
0.363 |
0.115 |
1.976 |
0.565 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 109 | 143 | 702 | 857 | 0 | 0 |
normalized size | 1 | 1. | 2.48 | 3.25 | 15.95 | 19.48 | 0. | 0. |
time (sec) |
N/A |
0.036 |
0.1 |
0.083 |
1.992 |
0.539 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 94 | 99 | 177 | 509 | 0 | 0 |
normalized size | 1 | 1. | 3.24 | 3.41 | 6.1 | 17.55 | 0. | 0. |
time (sec) |
N/A |
0.016 |
0.049 |
0.066 |
1.914 |
0.517 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 93 | 95 | 142 | 531 | 0 | 305 |
normalized size | 1 | 1. | 3.21 | 3.28 | 4.9 | 18.31 | 0. | 10.52 |
time (sec) |
N/A |
0.016 |
0.053 |
0.085 |
1.164 |
0.531 |
0. |
1.193 |
|
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Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 111 | 143 | 826 | 859 | 0 | 779 |
normalized size | 1 | 1. | 2.41 | 3.11 | 17.96 | 18.67 | 0. | 16.93 |
time (sec) |
N/A |
0.04 |
0.097 |
0.089 |
1.335 |
0.553 |
0. |
1.21 |
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Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
grade |
A |
A |
A |
C |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 71 | 184 | 1693 | 987 | 0 | 1175 |
normalized size | 1 | 1. | 0.96 | 2.49 | 22.88 | 13.34 | 0. | 15.88 |
time (sec) |
N/A |
0.072 |
0.351 |
0.104 |
1.249 |
0.565 |
0. |
1.332 |
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Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 143 | 116 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.81 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.112 |
1.787 |
0.181 |
0. |
0. |
0. |
0. |
|
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Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 260 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.87 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.111 |
3.595 |
0.208 |
0. |
0. |
0. |
0. |
|
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Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 85 | 84 | 1234 | 243 | 933 | 113 |
normalized size | 1 | 1. | 0.93 | 0.92 | 13.56 | 2.67 | 10.25 | 1.24 |
time (sec) |
N/A |
0.065 |
0.486 |
0.027 |
1.455 |
0.511 |
136.5 |
1.124 |
|
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Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 69 | 57 | 562 | 147 | 401 | 76 |
normalized size | 1 | 1. | 1.11 | 0.92 | 9.06 | 2.37 | 6.47 | 1.23 |
time (sec) |
N/A |
0.045 |
0.713 |
0.023 |
1.248 |
0.504 |
12.625 |
1.119 |
|
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Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 40 | 54 | 99 | 153 | 54 |
normalized size | 1 | 1. | 1. | 0.93 | 1.26 | 2.3 | 3.56 | 1.26 |
time (sec) |
N/A |
0.033 |
0.181 |
0.019 |
1.073 |
0.473 |
2.412 |
1.091 |
|
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Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 461 | 100 | 73 | 435 | 594 |
normalized size | 1 | 1. | 1. | 17.73 | 3.85 | 2.81 | 16.73 | 22.85 |
time (sec) |
N/A |
0.013 |
0.121 |
0.199 |
1.182 |
0.533 |
109.34 |
1.215 |
|
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Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 89 | 1049 | 528 | 185 | 0 | 1810 |
normalized size |
1 |
1. |
2.54 |
29.97 |
15.09 |
5.29 |
0. |
51.71 |
time (sec) |
N/A |
0.029 |
0.089 |
0.451 |
1.868 |
0.536 |
0. |
1.38 |
|
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Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 35 | 56 | 516 | 108 | 0 | 425 |
normalized size |
1 |
1. |
0.92 |
1.47 |
13.58 |
2.84 |
0. |
11.18 |
time (sec) |
N/A |
0.039 |
0.191 |
0.556 |
1.129 |
0.485 |
0. |
1.174 |
|
|
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Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 158 | 133 | 1839 | 370 | 0 | 174 |
normalized size |
1 |
1. |
1.1 |
0.92 |
12.77 |
2.57 |
0. |
1.21 |
time (sec) |
N/A |
0.089 |
1.639 |
0.036 |
1.573 |
0.533 |
0. |
1.125 |
|
|
|
|
|
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|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 105 | 83 | 837 | 234 | 1027 | 108 |
normalized size | 1 | 1. | 1.19 | 0.94 | 9.51 | 2.66 | 11.67 | 1.23 |
time (sec) |
N/A |
0.069 |
0.733 |
0.031 |
1.279 |
0.511 |
35.085 |
1.128 |
|
|
|
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|
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|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 195 | 195 | 176 | 184 | 3529 | 535 | 0 | 244 |
normalized size |
1 |
1. |
0.9 |
0.94 |
18.1 |
2.74 |
0. |
1.25 |
time (sec) |
N/A |
0.135 |
1.63 |
0.046 |
1.879 |
0.592 |
0. |
1.117 |
|
|
|
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|
Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
B |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 70 | 181 | 1386 | 986 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
2.51 |
19.25 |
13.69 |
0. |
0. |
time (sec) |
N/A |
0.078 |
0.363 |
0.099 |
2.031 |
0.571 |
0. |
0. |
|
|
|
|
|
|
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|
Problem 248 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 111 | 149 | 710 | 857 | 0 | 0 |
normalized size | 1 | 1. | 2.41 | 3.24 | 15.43 | 18.63 | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.097 |
0.085 |
1.969 |
0.536 |
0. |
0. |
|
|
|
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|
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|
Problem 249 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 93 | 97 | 177 | 531 | 0 | 0 |
normalized size | 1 | 1. | 3.1 | 3.23 | 5.9 | 17.7 | 0. | 0. |
time (sec) |
N/A |
0.018 |
0.06 |
0.066 |
1.862 |
0.531 |
0. |
0. |
|
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Problem 250 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 94 | 93 | 142 | 510 | 0 | 316 |
normalized size | 1 | 1. | 3.24 | 3.21 | 4.9 | 17.59 | 0. | 10.9 |
time (sec) |
N/A |
0.021 |
0.051 |
0.079 |
1.182 |
0.519 |
0. |
1.16 |
|
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|
Problem 251 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
B |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 112 | 145 | 828 | 856 | 0 | 846 |
normalized size | 1 | 1. | 2.43 | 3.15 | 18. | 18.61 | 0. | 18.39 |
time (sec) |
N/A |
0.041 |
0.099 |
0.095 |
1.329 |
0.544 |
0. |
1.23 |
|
|
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|
Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
B |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 71 | 179 | 1693 | 1040 | 0 | 1300 |
normalized size |
1 |
1. |
0.97 |
2.45 |
23.19 |
14.25 |
0. |
17.81 |
time (sec) |
N/A |
0.077 |
0.336 |
0.104 |
1.341 |
0.56 |
0. |
1.384 |
|
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|
Problem 253 |
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 | 134 | 134 | 142 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.06 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.119 |
1.884 |
0.175 |
0. |
0. |
0. |
0. |
|
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Problem 254 |
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 | 130 | 130 | 108 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.83 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.12 |
1.742 |
0.204 |
0. |
0. |
0. |
0. |
|
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|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [201] had the largest ratio of [ 0.5882
]
|
|
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|
| Table 2.1Rubi specific breakdown of results for each
integral
|
|
|
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|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
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|
|
|
1 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
2 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
3 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
4 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
5 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
6 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
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|
|
7 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
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|
|
8 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
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|
|
|
9 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
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|
|
10 |
A |
5 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
11 |
A |
6 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
12 |
A |
7 |
5 |
1. |
18 |
0.278 |
|
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|
|
13 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
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|
|
|
|
14 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
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|
|
|
15 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
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|
|
|
16 |
A |
5 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
17 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
18 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
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|
|
|
|
19 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
20 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
|
21 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
22 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
23 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
24 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
25 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
26 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
27 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
28 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
29 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
30 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
31 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
32 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
33 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
34 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
35 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
36 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
37 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
38 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
39 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
40 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
|
41 |
A |
4 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
42 |
A |
5 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
43 |
A |
6 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
44 |
A |
7 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
45 |
A |
9 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
46 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
47 |
A |
7 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
48 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
49 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
51 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
52 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
53 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
54 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
55 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
56 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
57 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
58 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
59 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
60 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
|
61 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
62 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
63 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
64 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
65 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
66 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
67 |
A |
4 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
68 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
69 |
A |
5 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
70 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
71 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
72 |
A |
8 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
73 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
74 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
75 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
76 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
77 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
78 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
79 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
80 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
|
81 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
82 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
83 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
84 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
85 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
86 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
87 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
88 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
89 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
90 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
91 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
92 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
93 |
A |
1 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
94 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
95 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
96 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
97 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
98 |
A |
4 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
99 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
100 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
|
101 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
102 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
103 |
A |
4 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
104 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
105 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
106 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
107 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
108 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
109 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
110 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
111 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
112 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
113 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
114 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
115 |
A |
7 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
116 |
A |
6 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
117 |
A |
5 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
118 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
119 |
A |
1 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
120 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
|
121 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
122 |
A |
5 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
123 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
124 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
125 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
126 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
127 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
128 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
129 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
130 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
131 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
132 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
133 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
134 |
A |
4 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
135 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
136 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
137 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
138 |
A |
5 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
139 |
A |
6 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
140 |
A |
7 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
|
141 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
142 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
143 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
144 |
A |
5 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
145 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
146 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
147 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
148 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
149 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
150 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
151 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
152 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
153 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
154 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
155 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
156 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
157 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
158 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
159 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
160 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
|
161 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
162 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
163 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
164 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
165 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
166 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
167 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
168 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
169 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
170 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
171 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
172 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
173 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
174 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
175 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
176 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
177 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
178 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
179 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
180 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
|
181 |
A |
1 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
182 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
183 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
184 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
185 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
186 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
187 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
188 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
189 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
190 |
A |
4 |
3 |
1. |
28 |
0.107 |
|
|
|
|
|
|
|
191 |
A |
10 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
192 |
A |
6 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
193 |
A |
5 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
194 |
A |
4 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
195 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
196 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
197 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
198 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
199 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
200 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
|
201 |
A |
15 |
10 |
1. |
17 |
0.588 |
|
|
|
|
|
|
|
202 |
A |
5 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
203 |
A |
6 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
204 |
A |
8 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
205 |
A |
18 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
206 |
A |
6 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
207 |
A |
8 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
208 |
A |
10 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
209 |
A |
8 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
210 |
A |
6 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
211 |
A |
5 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
212 |
A |
4 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
213 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
214 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
215 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
216 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
217 |
A |
5 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
218 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
219 |
A |
11 |
7 |
1. |
17 |
0.412 |
|
|
|
|
|
|
|
220 |
A |
5 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
|
221 |
A |
6 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
222 |
A |
8 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
223 |
A |
14 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
224 |
A |
6 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
225 |
A |
8 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
226 |
A |
10 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
227 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
228 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
229 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
230 |
A |
9 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
231 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
232 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
233 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
234 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
235 |
A |
9 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
236 |
A |
6 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
237 |
A |
6 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
238 |
A |
6 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
239 |
A |
5 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
240 |
A |
4 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
|
241 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
242 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
243 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
244 |
A |
8 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
245 |
A |
6 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
246 |
A |
10 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
247 |
A |
9 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
248 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
249 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
250 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
251 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
252 |
A |
9 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
253 |
A |
6 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
254 |
A |
6 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|