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, 218, 219, 220, 221, 222,
223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241
}
B grade: { }
C grade: { }
F grade: { 217}
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 19, 20, 24, 25, 26, 29, 30, 32, 33, 34, 35, 36, 41, 42, 43,
44, 45, 46, 50, 51, 52, 53, 54, 57, 58, 59, 60, 61, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 79, 80, 81, 82, 83, 84,
145, 146, 150, 154, 155, 156, 157, 160, 161, 162, 164, 168, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194,
196, 199, 201, 203, 204, 208, 218, 221, 222, 223, 224, 225, 226, 227, 228, 229, 233, 236, 237, 238, 239
}
B grade: { 6, 16, 17, 21, 22, 23, 28, 31, 37, 39, 40, 144, 193, 195, 197, 200, 202, 209, 210, 211, 212, 213,
214, 215, 216, 220, 230, 240, 241 }
C grade: { 7, 18, 27, 38, 47, 48, 49, 55, 56, 62, 63, 64, 70, 71, 77, 78, 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, 143, 147, 148, 149, 151, 152, 153, 158, 159,
163, 165, 166, 167, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 198, 205, 206,
207, 217, 219 }
F grade: { 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 231, 232, 234, 235}
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30,
31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 44, 45, 46, 51, 60, 68, 69, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99,
100, 101, 102, 103, 104, 108, 109, 110, 111, 112, 113, 115, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126,
127, 128, 129, 130, 143, 144, 145, 146, 149, 189, 201, 203, 204, 207, 208, 217, 218, 219, 221, 222, 223, 224,
225, 226, 227, 228, 229, 236 }
B grade: { 42, 43, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 70, 71, 72, 73, 74,
75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 89, 90, 105, 106, 107, 114, 118, 147, 148, 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, 190, 191, 192, 193,
194, 195, 196, 197, 198, 199, 200, 202, 205, 206, 209, 210, 211, 212, 213, 214, 215, 216, 220
}
C grade: { }
F grade: { 27, 38, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 230, 231, 232, 233, 234, 235,
237, 238, 239, 240, 241 }
2.1.4 Maxima
A grade: { 1, 2, 4, 5, 13, 15, 26, 27, 28, 29, 30, 35, 36, 37, 38, 39, 40, 41, 89, 90, 97, 98, 106, 112, 113, 114,
119, 125, 221, 222, 223, 224, 225, 226, 227, 228, 229, 236
B grade: { 3, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 31, 32, 33, 34, 45, 52, 59, 86, 87,
88, 91, 92, 93, 94, 95, 96, 99, 100, 101, 102, 103, 107, 108, 115, 116, 117, 120, 121, 122, 123, 126, 127, 128,
129, 130, 150, 156, 162 }
C grade: { }
F grade: { 42, 43, 44, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 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, 104, 105, 109, 110, 111, 118, 124, 131, 132, 133,
134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 153,
154, 155, 157, 158, 159, 160, 161, 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, 230, 231, 232, 233, 234, 235, 237, 238, 239, 240, 241
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32,
33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 77, 78, 79, 80, 81, 82, 86, 87, 88, 94, 95, 96, 101,
102, 103, 130, 143, 147, 148, 149, 150, 151, 152, 154, 155, 156, 157, 158, 160, 161, 162, 163,
164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 178, 179, 184, 185, 187, 188, 189, 236
}
B grade: { 5, 22, 23, 61, 62, 63, 74, 75, 83, 89, 105, 114, 118, 122, 153, 159, 174, 180, 186, 190, 191, 192,
193, 194, 195, 196, 197 }
C grade: { }
F grade: { 76, 84, 85, 90, 91, 92, 93, 97, 98, 99, 100, 104, 106, 107, 108, 109, 110, 111, 112, 113,
115, 116, 117, 119, 120, 121, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 135, 136,
137, 138, 139, 140, 141, 142, 144, 145, 146, 176, 177, 181, 182, 183, 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, 237, 238, 239, 240, 241
}
2.1.6 Sympy
A grade: { 221, 224, 236 }
B grade: { }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,
58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82,
83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 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, 222, 223, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 237, 238, 239, 240, 241
}
2.1.7 Giac
A grade: { 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31,
32, 33, 34, 35, 36, 37, 39, 40, 41, 113, 118, 119, 120, 125, 126, 127, 189, 190, 192, 221, 222, 223, 224, 225,
226, 227, 228, 229, 236 }
B grade: { 5, 27, 38, 191, 193, 194, 195, 196, 197 }
C grade: { }
F grade: { 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, 114, 115, 116, 117, 121, 122,
123, 124, 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, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 230, 231, 232, 233, 234, 235, 237, 238, 239, 240, 241
}
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 165 | 186 | 451 | 452 | 0 | 271 |
normalized size | 1 | 1. | 0.84 | 0.95 | 2.3 | 2.31 | 0. | 1.38 |
time (sec) |
N/A |
0.302 |
2.003 |
0.033 |
1.032 |
1.171 |
0. |
1.519 |
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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 |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 146 | 161 | 324 | 404 | 0 | 244 |
normalized size | 1 | 1. | 1.04 | 1.15 | 2.31 | 2.89 | 0. | 1.74 |
time (sec) |
N/A |
0.199 |
1.152 |
0.028 |
1.038 |
1.135 |
0. |
1.446 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 122 | 136 | 274 | 359 | 0 | 217 |
normalized size | 1 | 1. | 1.26 | 1.4 | 2.82 | 3.7 | 0. | 2.24 |
time (sec) |
N/A |
0.118 |
0.738 |
0.025 |
1.029 |
1.164 |
0. |
1.52 |
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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 |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 45 | 58 | 77 | 144 | 0 | 69 |
normalized size | 1 | 1. | 0.96 | 1.23 | 1.64 | 3.06 | 0. | 1.47 |
time (sec) |
N/A |
0.065 |
0.034 |
0.021 |
1.014 |
1.077 |
0. |
1.434 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 72 | 76 | 128 | 259 | 0 | 147 |
normalized size | 1 | 1. | 1.31 | 1.38 | 2.33 | 4.71 | 0. | 2.67 |
time (sec) |
N/A |
0.063 |
0.291 |
0.02 |
1.07 |
1.076 |
0. |
1.361 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 169 | 90 | 207 | 217 | 0 | 109 |
normalized size | 1 | 1. | 3.02 | 1.61 | 3.7 | 3.88 | 0. | 1.95 |
time (sec) |
N/A |
0.164 |
0.286 |
0.079 |
1.599 |
1.096 |
0. |
1.384 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
C |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 53 | 67 | 235 | 204 | 0 | 81 |
normalized size | 1 | 1. | 0.75 | 0.94 | 3.31 | 2.87 | 0. | 1.14 |
time (sec) |
N/A |
0.236 |
0.057 |
0.091 |
1.633 |
1.034 |
0. |
1.342 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 171 | 89 | 290 | 313 | 0 | 103 |
normalized size | 1 | 1. | 1.68 | 0.87 | 2.84 | 3.07 | 0. | 1.01 |
time (sec) |
N/A |
0.329 |
0.62 |
0.1 |
1.78 |
1.027 |
0. |
1.366 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 227 | 111 | 397 | 424 | 0 | 126 |
normalized size | 1 | 1. | 1.71 | 0.83 | 2.98 | 3.19 | 0. | 0.95 |
time (sec) |
N/A |
0.427 |
0.616 |
0.109 |
1.602 |
1.054 |
0. |
1.365 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 283 | 133 | 452 | 535 | 0 | 149 |
normalized size | 1 | 1. | 1.73 | 0.81 | 2.76 | 3.26 | 0. | 0.91 |
time (sec) |
N/A |
0.543 |
0.886 |
0.119 |
1.635 |
1.05 |
0. |
1.652 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 188 | 189 | 211 | 481 | 498 | 0 | 298 |
normalized size | 1 | 1. | 1.01 | 1.12 | 2.56 | 2.65 | 0. | 1.59 |
time (sec) |
N/A |
0.237 |
2.219 |
0.035 |
1.01 |
1.219 |
0. |
1.429 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 165 | 186 | 451 | 448 | 0 | 271 |
normalized size | 1 | 1. | 1.25 | 1.41 | 3.42 | 3.39 | 0. | 2.05 |
time (sec) |
N/A |
0.151 |
1.834 |
0.028 |
1.02 |
1.188 |
0. |
1.361 |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 61 | 93 | 127 | 189 | 0 | 93 |
normalized size | 1 | 1. | 0.9 | 1.37 | 1.87 | 2.78 | 0. | 1.37 |
time (sec) |
N/A |
0.074 |
0.04 |
0.023 |
1.035 |
1.066 |
0. |
1.475 |
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Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 122 | 136 | 274 | 359 | 0 | 217 |
normalized size | 1 | 1. | 1.26 | 1.4 | 2.82 | 3.7 | 0. | 2.24 |
time (sec) |
N/A |
0.114 |
0.791 |
0.025 |
1.019 |
1.147 |
0. |
1.345 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 101 | 98 | 144 | 298 | 0 | 149 |
normalized size | 1 | 1. | 1.31 | 1.27 | 1.87 | 3.87 | 0. | 1.94 |
time (sec) |
N/A |
0.147 |
0.44 |
0.023 |
1.018 |
1.109 |
0. |
1.392 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 240 | 137 | 370 | 313 | 0 | 158 |
normalized size | 1 | 1. | 3.08 | 1.76 | 4.74 | 4.01 | 0. | 2.03 |
time (sec) |
N/A |
0.209 |
2.369 |
0.083 |
1.553 |
1.097 |
0. |
1.35 |
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 177 | 90 | 370 | 379 | 0 | 113 |
normalized size | 1 | 1. | 2.01 | 1.02 | 4.2 | 4.31 | 0. | 1.28 |
time (sec) |
N/A |
0.361 |
1.17 |
0.087 |
1.533 |
1.125 |
0. |
1.346 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 53 | 89 | 381 | 312 | 0 | 104 |
normalized size | 1 | 1. | 0.52 | 0.87 | 3.74 | 3.06 | 0. | 1.02 |
time (sec) |
N/A |
0.452 |
0.085 |
0.104 |
1.587 |
1.073 |
0. |
1.441 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 227 | 111 | 517 | 424 | 0 | 126 |
normalized size | 1 | 1. | 1.71 | 0.83 | 3.89 | 3.19 | 0. | 0.95 |
time (sec) |
N/A |
0.579 |
0.611 |
0.114 |
1.563 |
1.046 |
0. |
1.377 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
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 | 164 | 164 | 283 | 133 | 544 | 535 | 0 | 149 |
normalized size |
1 |
1. |
1.73 |
0.81 |
3.32 |
3.26 |
0. |
0.91 |
time (sec) |
N/A |
0.733 |
0.88 |
0.128 |
1.664 |
1.115 |
0. |
1.509 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 153 | 384 | 207 | 814 | 601 | 0 | 217 |
normalized size | 1 | 1.12 | 2.82 | 1.52 | 5.99 | 4.42 | 0. | 1.6 |
time (sec) |
N/A |
0.402 |
3.019 |
0.105 |
1.591 |
1.15 |
0. |
1.466 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 448 | 159 | 558 | 541 | 0 | 190 |
normalized size | 1 | 1. | 4.39 | 1.56 | 5.47 | 5.3 | 0. | 1.86 |
time (sec) |
N/A |
0.309 |
6.016 |
0.088 |
1.543 |
1.132 |
0. |
1.328 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 216 | 90 | 362 | 425 | 0 | 113 |
normalized size | 1 | 1. | 2.54 | 1.06 | 4.26 | 5. | 0. | 1.33 |
time (sec) |
N/A |
0.331 |
1.092 |
0.086 |
1.581 |
1.076 |
0. |
1.338 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 67 | 65 | 230 | 225 | 0 | 85 |
normalized size | 1 | 1. | 1. | 0.97 | 3.43 | 3.36 | 0. | 1.27 |
time (sec) |
N/A |
0.228 |
0.052 |
0.08 |
1.559 |
1.044 |
0. |
1.236 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 113 | 59 | 161 | 212 | 0 | 76 |
normalized size | 1 | 1. | 1.85 | 0.97 | 2.64 | 3.48 | 0. | 1.25 |
time (sec) |
N/A |
0.145 |
0.314 |
0.08 |
1.548 |
1.025 |
0. |
1.424 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 135 | 87 | 138 | 180 | 0 | 115 |
normalized size | 1 | 1. | 1.96 | 1.26 | 2. | 2.61 | 0. | 1.67 |
time (sec) |
N/A |
0.114 |
0.543 |
0.056 |
1.516 |
1.042 |
0. |
1.343 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 39 | 0 | 62 | 188 | 0 | 135 |
normalized size | 1 | 1. | 0.85 | 0. | 1.35 | 4.09 | 0. | 2.93 |
time (sec) |
N/A |
0.071 |
0.05 |
180. |
1.525 |
1.058 |
0. |
1.411 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 257 | 130 | 198 | 374 | 0 | 157 |
normalized size | 1 | 1. | 2.62 | 1.33 | 2.02 | 3.82 | 0. | 1.6 |
time (sec) |
N/A |
0.145 |
1.314 |
0.065 |
1.546 |
1.034 |
0. |
1.478 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 315 | 153 | 225 | 424 | 0 | 174 |
normalized size | 1 | 1. | 1.9 | 0.92 | 1.36 | 2.55 | 0. | 1.05 |
time (sec) |
N/A |
0.211 |
1.257 |
0.071 |
1.529 |
1.085 |
0. |
1.433 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 210 | 210 | 383 | 175 | 251 | 598 | 0 | 193 |
normalized size | 1 | 1. | 1.82 | 0.83 | 1.2 | 2.85 | 0. | 0.92 |
time (sec) |
N/A |
0.286 |
1.235 |
0.074 |
1.555 |
1.104 |
0. |
1.406 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 557 | 179 | 759 | 721 | 0 | 219 |
normalized size | 1 | 1. | 3.44 | 1.1 | 4.69 | 4.45 | 0. | 1.35 |
time (sec) |
N/A |
0.443 |
5.623 |
0.099 |
1.586 |
1.19 |
0. |
1.549 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 231 | 110 | 535 | 601 | 0 | 144 |
normalized size | 1 | 1. | 1.56 | 0.74 | 3.61 | 4.06 | 0. | 0.97 |
time (sec) |
N/A |
0.606 |
1.175 |
0.103 |
1.596 |
1.132 |
0. |
1.456 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 90 | 87 | 374 | 340 | 0 | 113 |
normalized size | 1 | 1. | 0.94 | 0.91 | 3.9 | 3.54 | 0. | 1.18 |
time (sec) |
N/A |
0.421 |
0.079 |
0.102 |
1.646 |
1.024 |
0. |
1.481 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 171 | 87 | 285 | 338 | 0 | 113 |
normalized size | 1 | 1. | 1.78 | 0.91 | 2.97 | 3.52 | 0. | 1.18 |
time (sec) |
N/A |
0.304 |
0.461 |
0.091 |
1.572 |
1.002 |
0. |
1.376 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 169 | 79 | 215 | 313 | 0 | 101 |
normalized size | 1 | 1. | 1.92 | 0.9 | 2.44 | 3.56 | 0. | 1.15 |
time (sec) |
N/A |
0.202 |
0.457 |
0.086 |
1.574 |
0.995 |
0. |
1.377 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 126 | 197 | 109 | 165 | 284 | 0 | 144 |
normalized size | 1 | 1. | 1.56 | 0.87 | 1.31 | 2.25 | 0. | 1.14 |
time (sec) |
N/A |
0.193 |
0.929 |
0.061 |
1.553 |
1.039 |
0. |
1.332 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 257 | 131 | 197 | 374 | 0 | 165 |
normalized size | 1 | 1. | 2.57 | 1.31 | 1.97 | 3.74 | 0. | 1.65 |
time (sec) |
N/A |
0.143 |
0.917 |
0.063 |
1.546 |
1.08 |
0. |
1.392 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 39 | 0 | 76 | 290 | 0 | 184 |
normalized size | 1 | 1. | 0.58 | 0. | 1.13 | 4.33 | 0. | 2.75 |
time (sec) |
N/A |
0.081 |
0.074 |
180. |
1.575 |
1.119 |
0. |
1.456 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 362 | 174 | 252 | 581 | 0 | 203 |
normalized size | 1 | 1. | 2.81 | 1.35 | 1.95 | 4.5 | 0. | 1.57 |
time (sec) |
N/A |
0.173 |
1.371 |
0.069 |
1.564 |
1.062 |
0. |
1.511 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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 | 210 | 210 | 441 | 197 | 277 | 687 | 0 | 220 |
normalized size |
1 |
1. |
2.1 |
0.94 |
1.32 |
3.27 |
0. |
1.05 |
time (sec) |
N/A |
0.236 |
1.729 |
0.075 |
1.549 |
1.163 |
0. |
1.44 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
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 | 252 | 252 | 499 | 219 | 306 | 799 | 0 | 242 |
normalized size |
1 |
1. |
1.98 |
0.87 |
1.21 |
3.17 |
0. |
0.96 |
time (sec) |
N/A |
0.3 |
2.216 |
0.076 |
1.606 |
1.16 |
0. |
1.3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 175 | 175 | 121 | 391 | 0 | 960 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
2.23 |
0. |
5.49 |
0. |
0. |
time (sec) |
N/A |
0.176 |
1.012 |
0.319 |
0. |
1.262 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 111 | 302 | 0 | 882 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
2.16 |
0. |
6.3 |
0. |
0. |
time (sec) |
N/A |
0.168 |
1.206 |
0.291 |
0. |
1.21 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 97 | 142 | 0 | 792 | 0 | 0 |
normalized size |
1 |
1. |
0.92 |
1.35 |
0. |
7.54 |
0. |
0. |
time (sec) |
N/A |
0.158 |
0.772 |
0.263 |
0. |
1.172 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 70 | 115 | 198 | 620 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
1.74 |
3. |
9.39 |
0. |
0. |
time (sec) |
N/A |
0.109 |
0.32 |
0.212 |
1.713 |
1.146 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 90 | 116 | 0 | 680 | 0 | 0 |
normalized size |
1 |
1. |
1.3 |
1.68 |
0. |
9.86 |
0. |
0. |
time (sec) |
N/A |
0.148 |
0.58 |
0.251 |
0. |
1.465 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 78 | 214 | 0 | 872 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
2.06 |
0. |
8.38 |
0. |
0. |
time (sec) |
N/A |
0.157 |
0.241 |
0.289 |
0. |
1.449 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 78 | 311 | 0 | 1056 | 0 | 0 |
normalized size |
1 |
1. |
0.56 |
2.24 |
0. |
7.6 |
0. |
0. |
time (sec) |
N/A |
0.167 |
0.26 |
0.329 |
0. |
1.566 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 174 | 174 | 78 | 402 | 0 | 1245 | 0 | 0 |
normalized size |
1 |
1. |
0.45 |
2.31 |
0. |
7.16 |
0. |
0. |
time (sec) |
N/A |
0.177 |
0.25 |
0.37 |
0. |
1.646 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 122 | 392 | 0 | 990 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
2.21 |
0. |
5.59 |
0. |
0. |
time (sec) |
N/A |
0.184 |
0.959 |
0.272 |
0. |
1.275 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 112 | 232 | 0 | 900 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
1.63 |
0. |
6.34 |
0. |
0. |
time (sec) |
N/A |
0.17 |
0.842 |
0.247 |
0. |
1.196 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 96 | 212 | 1347 | 792 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
2.1 |
13.34 |
7.84 |
0. |
0. |
time (sec) |
N/A |
0.123 |
0.67 |
0.222 |
1.912 |
1.173 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 93 | 194 | 0 | 689 | 0 | 0 |
normalized size |
1 |
1. |
1.33 |
2.77 |
0. |
9.84 |
0. |
0. |
time (sec) |
N/A |
0.156 |
0.577 |
0.191 |
0. |
1.409 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 113 | 215 | 0 | 888 | 0 | 0 |
normalized size |
1 |
1. |
1.11 |
2.11 |
0. |
8.71 |
0. |
0. |
time (sec) |
N/A |
0.162 |
0.653 |
0.255 |
0. |
1.517 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 137 | 102 | 304 | 0 | 1083 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
2.22 |
0. |
7.91 |
0. |
0. |
time (sec) |
N/A |
0.178 |
0.77 |
0.276 |
0. |
1.577 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 102 | 401 | 0 | 1283 | 0 | 0 |
normalized size |
1 |
1. |
0.59 |
2.33 |
0. |
7.46 |
0. |
0. |
time (sec) |
N/A |
0.187 |
1.327 |
0.314 |
0. |
1.625 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 212 | 212 | 134 | 483 | 0 | 1098 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
2.28 |
0. |
5.18 |
0. |
0. |
time (sec) |
N/A |
0.191 |
1.214 |
0.28 |
0. |
1.307 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 124 | 323 | 0 | 1019 | 0 | 0 |
normalized size |
1 |
1. |
0.7 |
1.82 |
0. |
5.76 |
0. |
0. |
time (sec) |
N/A |
0.174 |
0.921 |
0.26 |
0. |
1.237 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 110 | 303 | 1885 | 887 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
2.3 |
14.28 |
6.72 |
0. |
0. |
time (sec) |
N/A |
0.141 |
0.803 |
0.229 |
2.032 |
1.245 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 96 | 120 | 0 | 724 | 0 | 0 |
normalized size |
1 |
1. |
0.93 |
1.17 |
0. |
7.03 |
0. |
0. |
time (sec) |
N/A |
0.172 |
0.68 |
0.227 |
0. |
1.471 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 102 | 351 | 0 | 844 | 0 | 0 |
normalized size |
1 |
1. |
1.38 |
4.74 |
0. |
11.41 |
0. |
0. |
time (sec) |
N/A |
0.168 |
4.226 |
0.24 |
0. |
1.491 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 196 | 306 | 0 | 1106 | 0 | 0 |
normalized size |
1 |
1. |
1.88 |
2.94 |
0. |
10.63 |
0. |
0. |
time (sec) |
N/A |
0.177 |
5.409 |
0.27 |
0. |
1.55 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 361 | 395 | 0 | 1310 | 0 | 0 |
normalized size |
1 |
1. |
2.58 |
2.82 |
0. |
9.36 |
0. |
0. |
time (sec) |
N/A |
0.184 |
7.938 |
0.295 |
0. |
1.611 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 205 | 492 | 0 | 1512 | 0 | 0 |
normalized size |
1 |
1. |
1.19 |
2.86 |
0. |
8.79 |
0. |
0. |
time (sec) |
N/A |
0.198 |
3.477 |
0.357 |
0. |
1.67 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 185 | 185 | 153 | 544 | 0 | 1420 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
2.94 |
0. |
7.68 |
0. |
0. |
time (sec) |
N/A |
0.276 |
1.424 |
0.321 |
0. |
5.261 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 166 | 372 | 0 | 1342 | 0 | 0 |
normalized size |
1 |
1. |
1.09 |
2.45 |
0. |
8.83 |
0. |
0. |
time (sec) |
N/A |
0.228 |
1.316 |
0.299 |
0. |
4.499 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 124 | 330 | 0 | 1138 | 0 | 0 |
normalized size |
1 |
1. |
1.04 |
2.77 |
0. |
9.56 |
0. |
0. |
time (sec) |
N/A |
0.188 |
0.475 |
0.277 |
0. |
2.759 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 82 | 144 | 0 | 787 | 0 | 0 |
normalized size |
1 |
1. |
0.94 |
1.66 |
0. |
9.05 |
0. |
0. |
time (sec) |
N/A |
0.138 |
0.276 |
0.219 |
0. |
2.119 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 101 | 194 | 0 | 1143 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
1.6 |
0. |
9.45 |
0. |
0. |
time (sec) |
N/A |
0.192 |
0.553 |
0.267 |
0. |
2.359 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 5586 | 377 | 0 | 1395 | 0 | 0 |
normalized size |
1 |
1. |
34.7 |
2.34 |
0. |
8.66 |
0. |
0. |
time (sec) |
N/A |
0.235 |
23.791 |
0.303 |
0. |
2.321 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 5602 | 545 | 0 | 1627 | 0 | 0 |
normalized size |
1 |
1. |
28.58 |
2.78 |
0. |
8.3 |
0. |
0. |
time (sec) |
N/A |
0.284 |
23.501 |
0.359 |
0. |
2.623 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 196 | 552 | 0 | 1616 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
2.72 |
0. |
7.96 |
0. |
0. |
time (sec) |
N/A |
0.286 |
1.53 |
0.28 |
0. |
10.802 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 132 | 376 | 0 | 1405 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
2.22 |
0. |
8.31 |
0. |
0. |
time (sec) |
N/A |
0.24 |
1.739 |
0.257 |
0. |
5.021 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 134 | 128 | 369 | 0 | 1389 | 0 | 0 |
normalized size |
1 |
1.13 |
1.08 |
3.1 |
0. |
11.67 |
0. |
0. |
time (sec) |
N/A |
0.192 |
1.068 |
0.189 |
0. |
3.802 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 130 | 130 | 371 | 0 | 1347 | 0 | 0 |
normalized size |
1 |
1.15 |
1.15 |
3.28 |
0. |
11.92 |
0. |
0. |
time (sec) |
N/A |
0.166 |
0.993 |
0.181 |
0. |
4.327 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-2) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 154 | 377 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
2.13 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.244 |
1.174 |
0.254 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 214 | 214 | 5622 | 387 | 0 | 1478 | 0 | 0 |
normalized size |
1 |
1. |
26.27 |
1.81 |
0. |
6.91 |
0. |
0. |
time (sec) |
N/A |
0.278 |
23.793 |
0.293 |
0. |
2.008 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 249 | 249 | 5639 | 725 | 0 | 1867 | 0 | 0 |
normalized size |
1 |
1. |
22.65 |
2.91 |
0. |
7.5 |
0. |
0. |
time (sec) |
N/A |
0.34 |
23.795 |
0.362 |
0. |
2.18 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 260 | 260 | 180 | 726 | 0 | 1879 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
2.79 |
0. |
7.23 |
0. |
0. |
time (sec) |
N/A |
0.341 |
3.485 |
0.308 |
0. |
14.54 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 229 | 229 | 164 | 550 | 0 | 1673 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
2.4 |
0. |
7.31 |
0. |
0. |
time (sec) |
N/A |
0.296 |
2.599 |
0.272 |
0. |
11.877 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 191 | 191 | 136 | 553 | 0 | 1643 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
2.9 |
0. |
8.6 |
0. |
0. |
time (sec) |
N/A |
0.252 |
1.537 |
0.252 |
0. |
9.106 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 189 | 189 | 136 | 545 | 0 | 1655 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
2.88 |
0. |
8.76 |
0. |
0. |
time (sec) |
N/A |
0.23 |
1.482 |
0.194 |
0. |
6.558 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 181 | 134 | 543 | 0 | 1605 | 0 | 0 |
normalized size |
1 |
1.22 |
0.91 |
3.67 |
0. |
10.84 |
0. |
0. |
time (sec) |
N/A |
0.192 |
1.458 |
0.179 |
0. |
3.964 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-2) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 230 | 230 | 158 | 545 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
2.37 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.306 |
1.443 |
0.265 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-2) |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 269 | 269 | 5660 | 725 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
21.04 |
2.7 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.335 |
24.052 |
0.326 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 185 | 185 | 149 | 194 | 1740 | 1135 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
1.05 |
9.41 |
6.14 |
0. |
0. |
time (sec) |
N/A |
0.372 |
5.818 |
0.356 |
2.141 |
1.696 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 162 | 184 | 959 | 1052 | 0 | 0 |
normalized size |
1 |
1. |
1.17 |
1.32 |
6.9 |
7.57 |
0. |
0. |
time (sec) |
N/A |
0.273 |
2.16 |
0.309 |
1.882 |
1.69 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 99 | 164 | 328 | 887 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
1.76 |
3.53 |
9.54 |
0. |
0. |
time (sec) |
N/A |
0.178 |
1.226 |
0.297 |
1.796 |
1.657 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 102 | 127 | 53 | 506 | 0 | 0 |
normalized size |
1 |
1. |
2.12 |
2.65 |
1.1 |
10.54 |
0. |
0. |
time (sec) |
N/A |
0.084 |
0.573 |
0.308 |
1.838 |
1.62 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 86 | 97 | 88 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.69 |
1.9 |
1.73 |
0. |
0. |
0. |
time (sec) |
N/A |
0.086 |
0.878 |
0.276 |
1.52 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 107 | 164 | 539 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.11 |
1.71 |
5.61 |
0. |
0. |
0. |
time (sec) |
N/A |
0.179 |
1.001 |
0.293 |
1.803 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 152 | 226 | 1584 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.07 |
1.59 |
11.15 |
0. |
0. |
0. |
time (sec) |
N/A |
0.271 |
1.231 |
0.303 |
2.415 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 188 | 198 | 288 | 3299 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
1.53 |
17.55 |
0. |
0. |
0. |
time (sec) |
N/A |
0.366 |
1.784 |
0.306 |
11.007 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 157 | 187 | 1831 | 1154 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
0.98 |
9.64 |
6.07 |
0. |
0. |
time (sec) |
N/A |
0.364 |
1.253 |
0.29 |
2.173 |
1.697 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 159 | 171 | 644 | 873 | 0 | 0 |
normalized size |
1 |
1. |
1.54 |
1.66 |
6.25 |
8.48 |
0. |
0. |
time (sec) |
N/A |
0.11 |
1.371 |
0.276 |
1.824 |
1.688 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 128 | 151 | 328 | 884 | 0 | 0 |
normalized size |
1 |
1. |
1.38 |
1.62 |
3.53 |
9.51 |
0. |
0. |
time (sec) |
N/A |
0.169 |
0.727 |
0.309 |
1.781 |
1.66 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 105 | 149 | 81 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
1.43 |
0.78 |
0. |
0. |
0. |
time (sec) |
N/A |
0.103 |
1.185 |
0.262 |
1.846 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 115 | 163 | 128 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.15 |
1.63 |
1.28 |
0. |
0. |
0. |
time (sec) |
N/A |
0.186 |
0.671 |
0.268 |
1.535 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 153 | 227 | 2411 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.05 |
1.55 |
16.51 |
0. |
0. |
0. |
time (sec) |
N/A |
0.283 |
1.21 |
0.265 |
2.512 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 199 | 289 | 4698 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.02 |
1.47 |
23.97 |
0. |
0. |
0. |
time (sec) |
N/A |
0.382 |
2.096 |
0.275 |
11.301 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 164 | 191 | 2186 | 987 | 0 | 0 |
normalized size |
1 |
1. |
1.07 |
1.25 |
14.29 |
6.45 |
0. |
0. |
time (sec) |
N/A |
0.12 |
1.492 |
0.299 |
2.432 |
1.742 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 149 | 199 | 1831 | 1152 | 0 | 0 |
normalized size |
1 |
1. |
0.78 |
1.05 |
9.64 |
6.06 |
0. |
0. |
time (sec) |
N/A |
0.363 |
1.166 |
0.281 |
2.19 |
1.727 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 164 | 179 | 959 | 1049 | 0 | 0 |
normalized size |
1 |
1. |
1.18 |
1.29 |
6.9 |
7.55 |
0. |
0. |
time (sec) |
N/A |
0.263 |
1.259 |
0.307 |
1.843 |
1.641 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 292 | 183 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.92 |
1.2 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.114 |
6.767 |
0.319 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 111 | 237 | 0 | 1062 | 0 | 0 |
normalized size |
1 |
1. |
1.16 |
2.47 |
0. |
11.06 |
0. |
0. |
time (sec) |
N/A |
0.179 |
1.22 |
0.27 |
0. |
1.412 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 155 | 229 | 188 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.55 |
2.29 |
1.88 |
0. |
0. |
0. |
time (sec) |
N/A |
0.181 |
1.37 |
0.266 |
1.514 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 202 | 281 | 5046 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.36 |
1.9 |
34.09 |
0. |
0. |
0. |
time (sec) |
N/A |
0.278 |
2.615 |
0.277 |
11.149 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 194 | 194 | 285 | 353 | 8281 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.47 |
1.82 |
42.69 |
0. |
0. |
0. |
time (sec) |
N/A |
0.376 |
5.435 |
0.282 |
76.433 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 244 | 244 | 299 | 415 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.23 |
1.7 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.474 |
5.949 |
0.292 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 153 | 189 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
0.93 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.124 |
15.341 |
0.309 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 181 | 169 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.2 |
1.12 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.113 |
3.886 |
0.3 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 103 | 93 | 81 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
0.91 |
0.79 |
0. |
0. |
0. |
time (sec) |
N/A |
0.107 |
9.154 |
0.287 |
1.811 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 127 | 75 | 46 | 0 | 0 | 92 |
normalized size | 1 | 1. | 2.59 | 1.53 | 0.94 | 0. | 0. | 1.88 |
time (sec) |
N/A |
0.084 |
0.911 |
0.302 |
1.576 |
0. |
0. |
1.796 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 104 | 100 | 53 | 682 | 0 | 0 |
normalized size |
1 |
1. |
2.26 |
2.17 |
1.15 |
14.83 |
0. |
0. |
time (sec) |
N/A |
0.09 |
1.069 |
0.26 |
1.772 |
1.876 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 168 | 217 | 143 | 167 | 1104 | 0 | 0 | 0 |
normalized size |
1 |
1.29 |
0.85 |
0.99 |
6.57 |
0. |
0. |
0. |
time (sec) |
N/A |
0.137 |
8.145 |
0.294 |
1.941 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 274 | 274 | 194 | 229 | 2978 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
0.84 |
10.87 |
0. |
0. |
0. |
time (sec) |
N/A |
0.161 |
1.879 |
0.303 |
2.55 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 204 | 276 | 3231 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
1.28 |
15.03 |
0. |
0. |
0. |
time (sec) |
N/A |
0.145 |
2.082 |
0.276 |
2.719 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 116 | 236 | 0 | 1098 | 0 | 185 |
normalized size |
1 |
1. |
1.21 |
2.46 |
0. |
11.44 |
0. |
1.93 |
time (sec) |
N/A |
0.193 |
0.731 |
0.27 |
0. |
1.353 |
0. |
3.058 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 114 | 106 | 95 | 0 | 0 | 170 |
normalized size |
1 |
1. |
1.16 |
1.08 |
0.97 |
0. |
0. |
1.73 |
time (sec) |
N/A |
0.196 |
1.113 |
0.256 |
1.493 |
0. |
0. |
2.348 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 106 | 119 | 533 | 0 | 0 | 158 |
normalized size | 1 | 1. | 1.13 | 1.27 | 5.67 | 0. | 0. | 1.68 |
time (sec) |
N/A |
0.189 |
0.561 |
0.291 |
1.789 |
0. |
0. |
1.9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 141 | 161 | 1104 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
0.75 |
5.13 |
0. |
0. |
0. |
time (sec) |
N/A |
0.146 |
1.384 |
0.3 |
1.916 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 121 | 175 | 656 | 1242 | 0 | 0 |
normalized size |
1 |
1. |
1.2 |
1.73 |
6.5 |
12.3 |
0. |
0. |
time (sec) |
N/A |
0.121 |
1.478 |
0.264 |
1.837 |
2.438 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 347 | 347 | 275 | 291 | 5767 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
0.84 |
16.62 |
0. |
0. |
0. |
time (sec) |
N/A |
0.184 |
2.553 |
0.273 |
11.272 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 220 | 220 | 157 | 335 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
1.52 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.144 |
2.395 |
0.26 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 154 | 144 | 138 | 0 | 0 | 170 |
normalized size |
1 |
1. |
1.57 |
1.47 |
1.41 |
0. |
0. |
1.73 |
time (sec) |
N/A |
0.187 |
1.52 |
0.252 |
1.511 |
0. |
0. |
7.161 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 152 | 152 | 2411 | 0 | 0 | 316 |
normalized size |
1 |
1. |
1.06 |
1.06 |
16.74 |
0. |
0. |
2.19 |
time (sec) |
N/A |
0.288 |
0.839 |
0.253 |
2.546 |
0. |
0. |
4.428 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 151 | 152 | 1573 | 0 | 0 | 215 |
normalized size |
1 |
1. |
1.08 |
1.09 |
11.24 |
0. |
0. |
1.54 |
time (sec) |
N/A |
0.282 |
0.641 |
0.291 |
2.434 |
0. |
0. |
2.403 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 270 | 270 | 195 | 223 | 2978 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
0.83 |
11.03 |
0. |
0. |
0. |
time (sec) |
N/A |
0.154 |
1.605 |
0.298 |
2.602 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 345 | 345 | 275 | 286 | 5767 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
0.83 |
16.72 |
0. |
0. |
0. |
time (sec) |
N/A |
0.181 |
2.263 |
0.268 |
11.514 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 149 | 237 | 1871 | 1446 | 0 | 0 |
normalized size |
1 |
1. |
0.99 |
1.57 |
12.39 |
9.58 |
0. |
0. |
time (sec) |
N/A |
0.131 |
2.105 |
0.276 |
2.487 |
3.188 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
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 | 92 | 92 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.094 |
1.042 |
0.407 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.122 |
0.429 |
0.392 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.1 |
3.217 |
0.427 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.099 |
1.443 |
0.389 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.075 |
1.577 |
0.391 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.1 |
0.97 |
0.396 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.1 |
1.574 |
0.287 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.145 |
8.511 |
0.282 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.162 |
11.806 |
0.302 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.083 |
0.147 |
0.302 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.112 |
1.369 |
0.295 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.168 |
1.653 |
0.264 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 133 | 141 | 0 | 782 | 0 | 0 |
normalized size |
1 |
1. |
1.46 |
1.55 |
0. |
8.59 |
0. |
0. |
time (sec) |
N/A |
0.082 |
0.706 |
0.227 |
0. |
1.584 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 231 | 231 | 814 | 295 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.52 | 1.28 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.257 |
17.997 |
0.398 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 180 | 285 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.8 | 1.27 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.211 |
8.52 |
0.414 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 319 | 319 | 193 | 327 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.61 | 1.03 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.37 |
5.374 |
0.351 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 589 | 546 | 0 | 1181 | 0 | 0 |
normalized size |
1 |
1. |
2.17 |
2.01 |
0. |
4.36 |
0. |
0. |
time (sec) |
N/A |
0.173 |
14.618 |
0.413 |
0. |
1.699 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 519 | 389 | 0 | 976 | 0 | 0 |
normalized size |
1 |
1. |
2.53 |
1.9 |
0. |
4.76 |
0. |
0. |
time (sec) |
N/A |
0.141 |
14.566 |
0.307 |
0. |
1.592 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 444 | 248 | 0 | 819 | 0 | 0 |
normalized size |
1 |
1. |
3.08 |
1.72 |
0. |
5.69 |
0. |
0. |
time (sec) |
N/A |
0.116 |
6.591 |
0.272 |
0. |
1.301 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 76 | 118 | 198 | 620 | 0 | 0 |
normalized size |
1 |
1. |
1.15 |
1.79 |
3. |
9.39 |
0. |
0. |
time (sec) |
N/A |
0.087 |
0.316 |
0.214 |
1.678 |
1.155 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 2686 | 501 | 0 | 1704 | 0 | 0 |
normalized size |
1 |
1. |
25.58 |
4.77 |
0. |
16.23 |
0. |
0. |
time (sec) |
N/A |
0.23 |
24.991 |
0.288 |
0. |
2.954 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 219 | 219 | 2943 | 97143 | 0 | 3494 | 0 | 0 |
normalized size |
1 |
1. |
13.44 |
443.58 |
0. |
15.95 |
0. |
0. |
time (sec) |
N/A |
0.222 |
28.425 |
1.534 |
0. |
13.778 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 287 | 287 | 3106 | 330372 | 0 | 5542 | 0 | 0 |
normalized size |
1 |
1. |
10.82 |
1151.12 |
0. |
19.31 |
0. |
0. |
time (sec) |
N/A |
0.307 |
24.137 |
14.995 |
0. |
27.238 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 241 | 241 | 219 | 539 | 0 | 1230 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
2.24 |
0. |
5.1 |
0. |
0. |
time (sec) |
N/A |
0.2 |
3.869 |
0.316 |
0. |
1.345 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 145 | 382 | 0 | 1006 | 0 | 0 |
normalized size |
1 |
1. |
0.82 |
2.17 |
0. |
5.72 |
0. |
0. |
time (sec) |
N/A |
0.144 |
1.336 |
0.271 |
0. |
1.217 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 102 | 237 | 1347 | 819 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
2.26 |
12.83 |
7.8 |
0. |
0. |
time (sec) |
N/A |
0.15 |
0.562 |
0.229 |
1.903 |
1.204 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 135 | 864 | 0 | 1804 | 0 | 0 |
normalized size |
1 |
1. |
1.23 |
7.85 |
0. |
16.4 |
0. |
0. |
time (sec) |
N/A |
0.241 |
0.478 |
0.217 |
0. |
8.844 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 229 | 229 | 2886 | 62283 | 0 | 4466 | 0 | 0 |
normalized size |
1 |
1. |
12.6 |
271.98 |
0. |
19.5 |
0. |
0. |
time (sec) |
N/A |
0.249 |
24.763 |
1.636 |
0. |
30.339 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 310 | 310 | 3190 | 234091 | 0 | 6322 | 0 | 0 |
normalized size |
1 |
1. |
10.29 |
755.13 |
0. |
20.39 |
0. |
0. |
time (sec) |
N/A |
0.342 |
24.581 |
10.07 |
0. |
79.148 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 336 | 336 | 286 | 677 | 0 | 1513 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
2.01 |
0. |
4.5 |
0. |
0. |
time (sec) |
N/A |
0.209 |
6.189 |
0.343 |
0. |
1.095 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 258 | 191 | 504 | 0 | 1233 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
1.95 |
0. |
4.78 |
0. |
0. |
time (sec) |
N/A |
0.177 |
2.684 |
0.283 |
0. |
1.103 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 128 | 341 | 1885 | 976 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
2.4 |
13.27 |
6.87 |
0. |
0. |
time (sec) |
N/A |
0.232 |
0.922 |
0.241 |
1.97 |
1.025 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 343 | 1487 | 0 | 2773 | 0 | 0 |
normalized size |
1 |
1. |
1.69 |
7.33 |
0. |
13.66 |
0. |
0. |
time (sec) |
N/A |
0.232 |
6.489 |
0.237 |
0. |
19.611 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 329 | 329 | 280 | 46082 | 0 | 4579 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
140.07 |
0. |
13.92 |
0. |
0. |
time (sec) |
N/A |
0.337 |
3.725 |
0.848 |
0. |
89.091 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 536 | 536 | 3368 | 209489 | 0 | 7337 | 0 | 0 |
normalized size |
1 |
1. |
6.28 |
390.84 |
0. |
13.69 |
0. |
0. |
time (sec) |
N/A |
0.492 |
25.668 |
6.465 |
0. |
172.515 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 258 | 787 | 907 | 0 | 1553 | 0 | 0 |
normalized size |
1 |
1. |
3.05 |
3.52 |
0. |
6.02 |
0. |
0. |
time (sec) |
N/A |
0.207 |
8.115 |
0.307 |
0. |
72.664 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 183 | 295 | 358 | 0 | 1246 | 0 | 0 |
normalized size |
1 |
1. |
1.61 |
1.96 |
0. |
6.81 |
0. |
0. |
time (sec) |
N/A |
0.158 |
2.468 |
0.24 |
0. |
16.946 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 92 | 194 | 0 | 824 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
2.13 |
0. |
9.05 |
0. |
0. |
time (sec) |
N/A |
0.11 |
0.287 |
0.217 |
0. |
5.146 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 431238 | 662 | 0 | 2695 | 0 | 0 |
normalized size |
1 |
1. |
2597.82 |
3.99 |
0. |
16.23 |
0. |
0. |
time (sec) |
N/A |
0.372 |
38.708 |
0.249 |
0. |
100.191 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 416 | 416 | 472069 | 117715 | 0 | 6564 | 0 | 0 |
normalized size |
1 |
1. |
1134.78 |
282.97 |
0. |
15.78 |
0. |
0. |
time (sec) |
N/A |
0.422 |
35.861 |
2.335 |
0. |
96.091 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 653 | 653 | 652560 | 402966 | 0 | 10966 | 0 | 0 |
normalized size |
1 |
1. |
999.33 |
617.1 |
0. |
16.79 |
0. |
0. |
time (sec) |
N/A |
0.646 |
38.679 |
20.612 |
0. |
132.514 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 324 | 324 | 856 | 957 | 0 | 1740 | 0 | 0 |
normalized size |
1 |
1. |
2.64 |
2.95 |
0. |
5.37 |
0. |
0. |
time (sec) |
N/A |
0.237 |
6.507 |
0.268 |
0. |
66.132 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 290 | 290 | 16163 | 756 | 0 | 1578 | 0 | 0 |
normalized size |
1 |
1. |
55.73 |
2.61 |
0. |
5.44 |
0. |
0. |
time (sec) |
N/A |
0.217 |
27.706 |
0.19 |
0. |
29.978 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 10115 | 554 | 0 | 1416 | 0 | 0 |
normalized size |
1 |
1. |
79.65 |
4.36 |
0. |
11.15 |
0. |
0. |
time (sec) |
N/A |
0.183 |
26.611 |
0.174 |
0. |
7.86 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 394 | 394 | 377837 | 2076 | 0 | 5720 | 0 | 0 |
normalized size |
1 |
1. |
958.98 |
5.27 |
0. |
14.52 |
0. |
0. |
time (sec) |
N/A |
0.335 |
35.08 |
0.294 |
0. |
54.434 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 560 | 560 | 581056 | 164796 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1037.6 |
294.28 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.511 |
37.741 |
3.779 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 802 | 802 | 774154 | 480553 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
965.28 |
599.19 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.797 |
40.873 |
28.445 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 480 | 480 | 21204 | 1444 | 0 | 2188 | 0 | 0 |
normalized size |
1 |
1. |
44.18 |
3.01 |
0. |
4.56 |
0. |
0. |
time (sec) |
N/A |
0.316 |
29.311 |
0.278 |
0. |
145.17 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 468 | 468 | 16259 | 1133 | 0 | 1967 | 0 | 0 |
normalized size |
1 |
1. |
34.74 |
2.42 |
0. |
4.2 |
0. |
0. |
time (sec) |
N/A |
0.295 |
27.949 |
0.208 |
0. |
65.139 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 10177 | 824 | 0 | 1754 | 0 | 0 |
normalized size |
1 |
1. |
62.05 |
5.02 |
0. |
10.7 |
0. |
0. |
time (sec) |
N/A |
0.265 |
26.881 |
0.185 |
0. |
16.705 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 592 | 592 | 484869 | 3860 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
819.04 |
6.52 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.457 |
36.987 |
0.29 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 756 | 756 | 686248 | 197500 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
907.74 |
261.24 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.634 |
39.996 |
5.676 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 999 | 999 | 891356 | 556423 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
892.25 |
556.98 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.914 |
43.595 |
37.042 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 240 | 1563 | 0 | 2034 | 0 | 0 |
normalized size |
1 |
1. |
1.95 |
12.71 |
0. |
16.54 |
0. |
0. |
time (sec) |
N/A |
0.339 |
18.159 |
0.42 |
0. |
1.403 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 102 | 189 | 0 | 502 | 0 | 0 |
normalized size |
1 |
1. |
1.67 |
3.1 |
0. |
8.23 |
0. |
0. |
time (sec) |
N/A |
0.097 |
0.214 |
0.318 |
0. |
0.798 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 135 | 377 | 0 | 1262 | 0 | 0 |
normalized size |
1 |
1. |
1.22 |
3.4 |
0. |
11.37 |
0. |
0. |
time (sec) |
N/A |
0.357 |
0.956 |
0.338 |
0. |
0.92 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 184 | 494 | 0 | 2190 | 0 | 0 |
normalized size |
1 |
1. |
1.3 |
3.5 |
0. |
15.53 |
0. |
0. |
time (sec) |
N/A |
0.369 |
14.504 |
0.33 |
0. |
1.892 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 171 | 424 | 0 | 2290 | 0 | 0 |
normalized size |
1 |
1. |
1.21 |
3.01 |
0. |
16.24 |
0. |
0. |
time (sec) |
N/A |
0.339 |
0.343 |
0.332 |
0. |
3.868 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 68 | 113 | 0 | 540 | 0 | 142 |
normalized size |
1 |
1. |
1.01 |
1.69 |
0. |
8.06 |
0. |
2.12 |
time (sec) |
N/A |
0.126 |
0.151 |
0.066 |
0. |
0.593 |
0. |
1.477 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 155 | 328 | 0 | 1226 | 0 | 282 |
normalized size |
1 |
1. |
1.26 |
2.67 |
0. |
9.97 |
0. |
2.29 |
time (sec) |
N/A |
0.247 |
0.643 |
0.086 |
0. |
0.602 |
0. |
1.46 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 267 | 1063 | 0 | 2479 | 0 | 644 |
normalized size |
1 |
1. |
1.31 |
5.21 |
0. |
12.15 |
0. |
3.16 |
time (sec) |
N/A |
0.51 |
1.311 |
0.091 |
0. |
0.747 |
0. |
1.552 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 136 | 462 | 0 | 1426 | 0 | 332 |
normalized size |
1 |
1. |
1.02 |
3.47 |
0. |
10.72 |
0. |
2.5 |
time (sec) |
N/A |
0.285 |
0.643 |
0.085 |
0. |
0.621 |
0. |
1.46 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 237 | 237 | 493 | 1593 | 0 | 2946 | 0 | 926 |
normalized size |
1 |
1. |
2.08 |
6.72 |
0. |
12.43 |
0. |
3.91 |
time (sec) |
N/A |
0.796 |
2.019 |
0.098 |
0. |
0.821 |
0. |
1.579 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 377 | 377 | 438 | 3293 | 0 | 5010 | 0 | 1692 |
normalized size |
1 |
1. |
1.16 |
8.73 |
0. |
13.29 |
0. |
4.49 |
time (sec) |
N/A |
1.999 |
3.322 |
0.113 |
0. |
1.109 |
0. |
1.632 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 254 | 254 | 517 | 2031 | 0 | 3343 | 0 | 1150 |
normalized size |
1 |
1. |
2.04 |
8. |
0. |
13.16 |
0. |
4.53 |
time (sec) |
N/A |
1.132 |
2.252 |
0.111 |
0. |
0.928 |
0. |
1.565 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 412 | 412 | 459 | 4330 | 0 | 5782 | 0 | 2213 |
normalized size |
1 |
1. |
1.11 |
10.51 |
0. |
14.03 |
0. |
5.37 |
time (sec) |
N/A |
1.062 |
3.805 |
0.167 |
0. |
1.273 |
0. |
1.79 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 622 | 622 | 1285 | 8573 | 0 | 9385 | 0 | 4470 |
normalized size |
1 |
1. |
2.07 |
13.78 |
0. |
15.09 |
0. |
7.19 |
time (sec) |
N/A |
1.769 |
6.842 |
0.159 |
0. |
1.999 |
0. |
2.036 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 320 | 320 | 913 | 1372 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.85 | 4.29 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.283 |
17.81 |
0.38 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 220 | 220 | 229 | 443 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.04 |
2.01 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.244 |
4.205 |
0.335 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 380 | 380 | 6093 | 2337 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 16.03 | 6.15 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.433 |
24.346 |
0.424 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 326 | 326 | 233 | 581 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
1.78 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.361 |
5.627 |
0.305 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 442 | 442 | 7168 | 3285 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
16.22 |
7.43 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.629 |
25.286 |
0.687 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 208 | 208 | 147 | 215 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.71 | 1.03 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.117 |
2.483 |
0.325 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 216 | 216 | 254 | 318 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.18 |
1.47 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.238 |
9.955 |
0.31 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 376 | 376 | 1491 | 2009 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
3.97 |
5.34 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.428 |
14.561 |
0.327 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 495 | 495 | 2083 | 5712 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 4.21 | 11.54 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.778 |
17.104 |
0.368 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 389 | 389 | 39925 | 543 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
102.63 |
1.4 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.447 |
32.517 |
0.434 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 336 | 352 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.7 |
1.78 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.106 |
5.191 |
0.376 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 598 | 598 | 1678 | 2847 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.81 |
4.76 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.902 |
9.258 |
0.484 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 899 | 899 | 1960 | 15728 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.18 |
17.49 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
2.258 |
6.719 |
0.621 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 744 | 744 | 1720 | 4298 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.31 |
5.78 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
1.106 |
9.454 |
0.442 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 919 | 919 | 1930 | 13060 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.1 |
14.21 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
2.132 |
6.635 |
0.536 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1122 | 1122 | 2355 | 39418 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.1 |
35.13 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
3.163 |
7.319 |
1.249 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 891 | 891 | 1996 | 15912 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.24 |
17.86 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
2.009 |
6.695 |
0.607 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1150 | 1150 | 2314 | 32283 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.01 |
28.07 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
3.435 |
7.167 |
1.121 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1428 | 1428 | 2949 | 75468 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
2.07 |
52.85 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
5.438 |
8.174 |
2.485 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
A |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 652 | 0 | 49385 | 491 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
75.74 |
0.75 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.093 |
32.658 |
0.386 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 325 | 352 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.64 | 1.78 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.111 |
5.25 |
0.372 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 398 | 398 | 249 | 292 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.63 | 0.73 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.437 |
1.983 |
0.372 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 622 | 763 | 1731 | 3451 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1.23 |
2.78 |
5.55 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
1.316 |
9.535 |
0.463 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.191 |
2.16 |
0.257 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.092 |
46.951 |
0.143 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.091 |
77.687 |
0.18 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.22 |
2.171 |
0.227 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.097 |
47.852 |
0.16 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.096 |
82.067 |
0.172 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.218 |
57.332 |
0.143 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.097 |
92.543 |
0.158 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.097 |
132.591 |
0.168 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 2425 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 22.88 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.189 |
14.44 |
0.349 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 275 | 275 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.437 |
2.398 |
0.173 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.249 |
1. |
0.161 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 156 | 124 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.79 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.146 |
0.202 |
0.148 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 208 | 208 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.271 |
1.205 |
0.15 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 248 | 248 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.451 |
1.797 |
0.161 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
0. |
0. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.116 |
2.421 |
0.251 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 296 | 296 | 278 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.94 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.515 |
1.052 |
0.163 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
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 | 211 | 211 | 200 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.242 |
0.493 |
0.15 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 156 | 125 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.8 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.144 |
0.222 |
0.133 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 206 | 206 | 5411 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 26.27 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.402 |
25.592 |
0.147 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 322 | 322 | 10678 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
33.16 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.559 |
32.853 |
0.154 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [31] had the largest ratio of [ 0.5769
]
|
|
|
|
|
|
|
| Table 2.1Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
15 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
2 |
A |
11 |
8 |
1. |
26 |
0.308 |
|
|
|
|
|
|
|
3 |
A |
5 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
4 |
A |
4 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
5 |
A |
4 |
3 |
1. |
24 |
0.125 |
|
|
|
|
|
|
|
6 |
A |
8 |
6 |
1. |
26 |
0.231 |
|
|
|
|
|
|
|
7 |
A |
9 |
6 |
1. |
26 |
0.231 |
|
|
|
|
|
|
|
8 |
A |
12 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
9 |
A |
15 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
10 |
A |
18 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
11 |
A |
13 |
8 |
1. |
26 |
0.308 |
|
|
|
|
|
|
|
12 |
A |
6 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
13 |
A |
5 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
14 |
A |
5 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
15 |
A |
9 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
16 |
A |
15 |
11 |
1. |
26 |
0.423 |
|
|
|
|
|
|
|
17 |
A |
13 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
18 |
A |
15 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
19 |
A |
19 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
20 |
A |
23 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
|
21 |
A |
26 |
14 |
1.12 |
26 |
0.538 |
|
|
|
|
|
|
|
22 |
A |
21 |
13 |
1. |
26 |
0.5 |
|
|
|
|
|
|
|
23 |
A |
13 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
24 |
A |
9 |
6 |
1. |
26 |
0.231 |
|
|
|
|
|
|
|
25 |
A |
7 |
5 |
1. |
24 |
0.208 |
|
|
|
|
|
|
|
26 |
A |
4 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
27 |
A |
4 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
28 |
A |
5 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
29 |
A |
13 |
8 |
1. |
26 |
0.308 |
|
|
|
|
|
|
|
30 |
A |
17 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
31 |
A |
29 |
15 |
1. |
26 |
0.577 |
|
|
|
|
|
|
|
32 |
A |
20 |
13 |
1. |
26 |
0.5 |
|
|
|
|
|
|
|
33 |
A |
15 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
34 |
A |
12 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
35 |
A |
9 |
6 |
1. |
24 |
0.25 |
|
|
|
|
|
|
|
36 |
A |
12 |
8 |
1. |
26 |
0.308 |
|
|
|
|
|
|
|
37 |
A |
5 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
38 |
A |
5 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
39 |
A |
6 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
40 |
A |
14 |
8 |
1. |
26 |
0.308 |
|
|
|
|
|
|
|
|
41 |
A |
18 |
9 |
1. |
26 |
0.346 |
|
|
|
|
|
|
|
42 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
43 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
44 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
45 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
46 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
47 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
48 |
A |
6 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
49 |
A |
7 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
50 |
A |
6 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
51 |
A |
6 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
52 |
A |
5 |
5 |
1. |
26 |
0.192 |
|
|
|
|
|
|
|
53 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
54 |
A |
5 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
55 |
A |
6 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
56 |
A |
7 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
57 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
58 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
59 |
A |
5 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
60 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
|
61 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
62 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
63 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
64 |
A |
5 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
65 |
A |
8 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
66 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
67 |
A |
6 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
68 |
A |
5 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
69 |
A |
6 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
70 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
71 |
A |
8 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
72 |
A |
8 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
73 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
74 |
A |
7 |
6 |
1.13 |
28 |
0.214 |
|
|
|
|
|
|
|
75 |
A |
6 |
5 |
1.15 |
26 |
0.192 |
|
|
|
|
|
|
|
76 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
77 |
A |
8 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
78 |
A |
9 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
79 |
A |
9 |
7 |
1. |
28 |
0.25 |
|
|
|
|
|
|
|
80 |
A |
8 |
7 |
1. |
28 |
0.25 |
|
|
|
|
|
|
|
|
81 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
82 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
83 |
A |
7 |
6 |
1.22 |
26 |
0.231 |
|
|
|
|
|
|
|
84 |
A |
8 |
7 |
1. |
28 |
0.25 |
|
|
|
|
|
|
|
85 |
A |
9 |
7 |
1. |
28 |
0.25 |
|
|
|
|
|
|
|
86 |
A |
5 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
87 |
A |
4 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
88 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
89 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
90 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
91 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
92 |
A |
4 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
93 |
A |
5 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
94 |
A |
5 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
95 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
96 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
97 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
98 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
99 |
A |
4 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
100 |
A |
5 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
|
101 |
A |
4 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
102 |
A |
5 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
103 |
A |
4 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
104 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
105 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
106 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
107 |
A |
4 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
108 |
A |
5 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
109 |
A |
6 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
110 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
111 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
112 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
113 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
114 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
115 |
A |
3 |
2 |
1.29 |
30 |
0.067 |
|
|
|
|
|
|
|
116 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
117 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
118 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
119 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
120 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
|
121 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
122 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
123 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
124 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
125 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
126 |
A |
4 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
127 |
A |
4 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
128 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
129 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
130 |
A |
4 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
131 |
A |
2 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
132 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
133 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
134 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
135 |
A |
3 |
3 |
1. |
24 |
0.125 |
|
|
|
|
|
|
|
136 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
137 |
A |
3 |
3 |
1. |
26 |
0.115 |
|
|
|
|
|
|
|
138 |
A |
4 |
3 |
1. |
28 |
0.107 |
|
|
|
|
|
|
|
139 |
A |
3 |
3 |
1. |
28 |
0.107 |
|
|
|
|
|
|
|
140 |
A |
2 |
2 |
1. |
28 |
0.071 |
|
|
|
|
|
|
|
|
141 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
142 |
A |
5 |
5 |
1. |
28 |
0.179 |
|
|
|
|
|
|
|
143 |
A |
6 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
144 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
145 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
146 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
147 |
A |
5 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
148 |
A |
5 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
149 |
A |
5 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
150 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
151 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
152 |
A |
7 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
153 |
A |
8 |
7 |
1. |
27 |
0.259 |
|
|
|
|
|
|
|
154 |
A |
6 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
155 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
156 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
157 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
158 |
A |
7 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
159 |
A |
8 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
160 |
A |
5 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
|
161 |
A |
5 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
162 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
163 |
A |
7 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
164 |
A |
10 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
165 |
A |
14 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
166 |
A |
9 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
167 |
A |
7 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
168 |
A |
5 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
169 |
A |
8 |
7 |
1. |
27 |
0.259 |
|
|
|
|
|
|
|
170 |
A |
12 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
171 |
A |
16 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
172 |
A |
10 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
173 |
A |
10 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
174 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
175 |
A |
12 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
176 |
A |
15 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
177 |
A |
19 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
178 |
A |
14 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
179 |
A |
14 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
180 |
A |
7 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
|
181 |
A |
16 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
182 |
A |
19 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
183 |
A |
23 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
184 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
185 |
A |
2 |
2 |
1. |
29 |
0.069 |
|
|
|
|
|
|
|
186 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
187 |
A |
5 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
188 |
A |
5 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
189 |
A |
4 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
190 |
A |
5 |
5 |
1. |
23 |
0.217 |
|
|
|
|
|
|
|
191 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
192 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
193 |
A |
6 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
194 |
A |
7 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
195 |
A |
6 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
196 |
A |
7 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
197 |
A |
8 |
8 |
1. |
25 |
0.32 |
|
|
|
|
|
|
|
198 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
199 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
200 |
A |
6 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
|
201 |
A |
5 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
202 |
A |
7 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
203 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
204 |
A |
3 |
3 |
1. |
27 |
0.111 |
|
|
|
|
|
|
|
205 |
A |
6 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
206 |
A |
7 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
207 |
A |
3 |
3 |
1. |
29 |
0.103 |
|
|
|
|
|
|
|
208 |
A |
1 |
1 |
1. |
29 |
0.034 |
|
|
|
|
|
|
|
209 |
A |
5 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
210 |
A |
7 |
7 |
1. |
29 |
0.241 |
|
|
|
|
|
|
|
211 |
A |
6 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
212 |
A |
7 |
7 |
1. |
29 |
0.241 |
|
|
|
|
|
|
|
213 |
A |
8 |
8 |
1. |
29 |
0.276 |
|
|
|
|
|
|
|
214 |
A |
7 |
7 |
1. |
29 |
0.241 |
|
|
|
|
|
|
|
215 |
A |
8 |
8 |
1. |
29 |
0.276 |
|
|
|
|
|
|
|
216 |
A |
9 |
8 |
1. |
29 |
0.276 |
|
|
|
|
|
|
|
217 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
218 |
A |
1 |
1 |
1. |
29 |
0.034 |
|
|
|
|
|
|
|
219 |
A |
3 |
3 |
1. |
29 |
0.103 |
|
|
|
|
|
|
|
220 |
A |
6 |
6 |
1.23 |
29 |
0.207 |
|
|
|
|
|
|
|
|
221 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
222 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
223 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
224 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
225 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
226 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
227 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
228 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
229 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
230 |
A |
4 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
231 |
A |
8 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
232 |
A |
7 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
233 |
A |
6 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
234 |
A |
7 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
235 |
A |
8 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
236 |
A |
0 |
0 |
0. |
0 |
0. |
|
|
|
|
|
|
|
237 |
A |
8 |
6 |
1. |
27 |
0.222 |
|
|
|
|
|
|
|
238 |
A |
7 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
239 |
A |
6 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
240 |
A |
7 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
|
241 |
A |
10 |
5 |
1. |
27 |
0.185 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|