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, 231, 232 }
F grade: { 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 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, 109, 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, 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, 76, 77, 78, 79, 80, 81, 82, 84, 85, 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, 172, 173, 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: { 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, 170, 171, 175, 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, 222, 224, 225, 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, 223, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 237, 238, 239, 240, 241
}
2.1.7 Giac
A grade: { 4, 7, 8, 9, 10, 13, 18, 19, 20, 24, 25, 26, 28, 29, 30, 33, 34, 35, 36, 37, 39, 40, 41, 190, 192, 221,
222, 223, 224, 225, 226, 227, 228, 229, 236 }
B grade: { 27, 38, 189, 191, 193, 194, 195, 196, 197 }
C grade: { }
F grade: { 1, 2, 3, 5, 6, 11, 12, 14, 15, 16, 17, 21, 22, 23, 31, 32, 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, 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
}
2.1.8 Mupad
A grade: { 221, 222, 224, 225, 227, 236 }
B 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, 189, 190, 191, 192, 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,
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,
198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216,
217, 218, 219, 220, 223, 226, 228, 229, 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 |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 165 | 186 | 334 | 179 | 0 | 0 | 228 |
normalized size | 1 | 1.00 | 0.84 | 0.95 | 1.70 | 0.91 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A |
0.302 |
2.130 |
1.578 |
0.345 |
0.463 |
0.000 |
0.000 |
2.534 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 146 | 161 | 240 | 163 | 0 | 0 | 195 |
normalized size | 1 | 1.00 | 1.04 | 1.15 | 1.71 | 1.16 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A |
0.199 |
1.166 |
1.406 |
0.341 |
0.518 |
0.000 |
0.000 |
2.300 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 122 | 136 | 203 | 147 | 0 | 0 | 163 |
normalized size | 1 | 1.00 | 1.26 | 1.40 | 2.09 | 1.52 | 0.00 | 0.00 | 1.68 |
time (sec) |
N/A |
0.118 |
0.735 |
1.219 |
0.333 |
0.488 |
0.000 |
0.000 |
2.189 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 45 | 58 | 57 | 65 | 0 | 51 | 84 |
normalized size | 1 | 1.00 | 0.96 | 1.23 | 1.21 | 1.38 | 0.00 | 1.09 | 1.79 |
time (sec) |
N/A |
0.065 |
0.031 |
0.820 |
0.321 |
0.433 |
0.000 |
0.303 |
3.709 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
B |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 72 | 76 | 95 | 103 | 0 | 0 | 91 |
normalized size | 1 | 1.00 | 1.31 | 1.38 | 1.73 | 1.87 | 0.00 | 0.00 | 1.65 |
time (sec) |
N/A |
0.063 |
0.290 |
0.856 |
0.326 |
0.476 |
0.000 |
0.000 |
1.513 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
B |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 169 | 90 | 153 | 87 | 0 | 0 | 46 |
normalized size | 1 | 1.00 | 3.02 | 1.61 | 2.73 | 1.55 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A |
0.164 |
0.293 |
0.777 |
0.431 |
0.484 |
0.000 |
0.000 |
1.484 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
C |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 53 | 67 | 174 | 88 | 0 | 60 | 40 |
normalized size | 1 | 1.00 | 0.75 | 0.94 | 2.45 | 1.24 | 0.00 | 0.85 | 0.56 |
time (sec) |
N/A |
0.236 |
0.058 |
0.862 |
0.443 |
0.458 |
0.000 |
0.291 |
1.389 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 171 | 89 | 215 | 128 | 0 | 76 | 96 |
normalized size | 1 | 1.00 | 1.68 | 0.87 | 2.11 | 1.25 | 0.00 | 0.75 | 0.94 |
time (sec) |
N/A |
0.329 |
0.629 |
1.046 |
0.445 |
0.425 |
0.000 |
0.462 |
1.450 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 227 | 111 | 294 | 172 | 0 | 93 | 124 |
normalized size | 1 | 1.00 | 1.71 | 0.83 | 2.21 | 1.29 | 0.00 | 0.70 | 0.93 |
time (sec) |
N/A |
0.427 |
0.635 |
0.904 |
0.435 |
0.435 |
0.000 |
0.329 |
1.496 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 283 | 133 | 335 | 212 | 0 | 110 | 146 |
normalized size | 1 | 1.00 | 1.73 | 0.81 | 2.04 | 1.29 | 0.00 | 0.67 | 0.89 |
time (sec) |
N/A |
0.543 |
0.995 |
0.845 |
0.446 |
0.463 |
0.000 |
0.439 |
1.536 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 188 | 189 | 211 | 356 | 195 | 0 | 0 | 259 |
normalized size | 1 | 1.00 | 1.01 | 1.12 | 1.89 | 1.04 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A |
0.237 |
2.236 |
1.621 |
0.338 |
0.485 |
0.000 |
0.000 |
2.619 |
|
|
|
|
|
|
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|
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|
Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 165 | 186 | 334 | 179 | 0 | 0 | 227 |
normalized size | 1 | 1.00 | 1.25 | 1.41 | 2.53 | 1.36 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A |
0.151 |
1.871 |
1.646 |
0.338 |
0.526 |
0.000 |
0.000 |
2.593 |
|
|
|
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|
Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 61 | 93 | 94 | 81 | 0 | 69 | 122 |
normalized size | 1 | 1.00 | 0.90 | 1.37 | 1.38 | 1.19 | 0.00 | 1.01 | 1.79 |
time (sec) |
N/A |
0.074 |
0.039 |
1.056 |
0.323 |
0.465 |
0.000 |
0.553 |
4.959 |
|
|
|
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|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 122 | 136 | 203 | 147 | 0 | 0 | 163 |
normalized size | 1 | 1.00 | 1.26 | 1.40 | 2.09 | 1.52 | 0.00 | 0.00 | 1.68 |
time (sec) |
N/A |
0.114 |
0.798 |
1.254 |
0.337 |
0.496 |
0.000 |
0.000 |
2.133 |
|
|
|
|
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|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 101 | 98 | 107 | 118 | 0 | 0 | 104 |
normalized size | 1 | 1.00 | 1.31 | 1.27 | 1.39 | 1.53 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A |
0.147 |
0.453 |
0.863 |
0.312 |
0.448 |
0.000 |
0.000 |
1.552 |
|
|
|
|
|
|
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|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 240 | 137 | 274 | 125 | 0 | 0 | 85 |
normalized size | 1 | 1.00 | 3.08 | 1.76 | 3.51 | 1.60 | 0.00 | 0.00 | 1.09 |
time (sec) |
N/A |
0.209 |
2.580 |
0.701 |
0.434 |
0.515 |
0.000 |
0.000 |
1.479 |
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 177 | 90 | 274 | 156 | 0 | 0 | 45 |
normalized size | 1 | 1.00 | 2.01 | 1.02 | 3.11 | 1.77 | 0.00 | 0.00 | 0.51 |
time (sec) |
N/A |
0.361 |
1.182 |
0.833 |
0.439 |
0.455 |
0.000 |
0.000 |
1.437 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 53 | 89 | 282 | 128 | 0 | 77 | 96 |
normalized size | 1 | 1.00 | 0.52 | 0.87 | 2.76 | 1.25 | 0.00 | 0.75 | 0.94 |
time (sec) |
N/A |
0.452 |
0.099 |
0.819 |
0.443 |
0.429 |
0.000 |
0.396 |
1.378 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 227 | 111 | 383 | 172 | 0 | 93 | 122 |
normalized size | 1 | 1.00 | 1.71 | 0.83 | 2.88 | 1.29 | 0.00 | 0.70 | 0.92 |
time (sec) |
N/A |
0.579 |
0.599 |
0.881 |
0.447 |
0.453 |
0.000 |
0.588 |
1.438 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 283 | 133 | 403 | 212 | 0 | 110 | 146 |
normalized size | 1 | 1.00 | 1.73 | 0.81 | 2.46 | 1.29 | 0.00 | 0.67 | 0.89 |
time (sec) |
N/A |
0.733 |
0.902 |
0.893 |
0.458 |
0.438 |
0.000 |
0.555 |
1.461 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 153 | 384 | 207 | 603 | 242 | 0 | 0 | 145 |
normalized size | 1 | 1.12 | 2.82 | 1.52 | 4.43 | 1.78 | 0.00 | 0.00 | 1.07 |
time (sec) |
N/A |
0.402 |
3.151 |
0.708 |
0.438 |
0.459 |
0.000 |
0.000 |
1.495 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 753 | 159 | 413 | 220 | 0 | 0 | 112 |
normalized size | 1 | 1.00 | 7.38 | 1.56 | 4.05 | 2.16 | 0.00 | 0.00 | 1.10 |
time (sec) |
N/A |
0.309 |
6.262 |
0.679 |
0.442 |
0.488 |
0.000 |
0.000 |
1.471 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 216 | 90 | 268 | 173 | 0 | 0 | 46 |
normalized size | 1 | 1.00 | 2.54 | 1.06 | 3.15 | 2.04 | 0.00 | 0.00 | 0.54 |
time (sec) |
N/A |
0.331 |
1.096 |
0.818 |
0.431 |
0.463 |
0.000 |
0.000 |
1.410 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 67 | 65 | 170 | 94 | 0 | 63 | 38 |
normalized size | 1 | 1.00 | 1.00 | 0.97 | 2.54 | 1.40 | 0.00 | 0.94 | 0.57 |
time (sec) |
N/A |
0.228 |
0.051 |
0.859 |
0.428 |
0.450 |
0.000 |
0.392 |
1.375 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 113 | 59 | 119 | 86 | 0 | 56 | 41 |
normalized size | 1 | 1.00 | 1.85 | 0.97 | 1.95 | 1.41 | 0.00 | 0.92 | 0.67 |
time (sec) |
N/A |
0.145 |
0.312 |
0.900 |
0.422 |
0.470 |
0.000 |
0.277 |
1.336 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 135 | 87 | 102 | 70 | 0 | 85 | 69 |
normalized size | 1 | 1.00 | 1.96 | 1.26 | 1.48 | 1.01 | 0.00 | 1.23 | 1.00 |
time (sec) |
N/A |
0.114 |
0.548 |
0.840 |
0.428 |
0.425 |
0.000 |
0.398 |
1.422 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F(-2) |
A |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 39 | 0 | 46 | 81 | 0 | 100 | 58 |
normalized size | 1 | 1.00 | 0.85 | 0.00 | 1.00 | 1.76 | 0.00 | 2.17 | 1.26 |
time (sec) |
N/A |
0.071 |
0.049 |
180.000 |
0.422 |
0.414 |
0.000 |
0.288 |
1.468 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 257 | 130 | 147 | 154 | 0 | 116 | 161 |
normalized size | 1 | 1.00 | 2.62 | 1.33 | 1.50 | 1.57 | 0.00 | 1.18 | 1.64 |
time (sec) |
N/A |
0.145 |
1.411 |
1.100 |
0.426 |
0.424 |
0.000 |
0.434 |
1.544 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 315 | 153 | 167 | 166 | 0 | 129 | 185 |
normalized size | 1 | 1.00 | 1.90 | 0.92 | 1.01 | 1.00 | 0.00 | 0.78 | 1.11 |
time (sec) |
N/A |
0.211 |
1.271 |
0.950 |
0.428 |
0.490 |
0.000 |
0.948 |
1.635 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 210 | 210 | 383 | 175 | 186 | 232 | 0 | 143 | 209 |
normalized size | 1 | 1.00 | 1.82 | 0.83 | 0.89 | 1.10 | 0.00 | 0.68 | 1.00 |
time (sec) |
N/A |
0.286 |
1.199 |
0.945 |
0.429 |
0.424 |
0.000 |
0.476 |
1.779 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 557 | 179 | 562 | 289 | 0 | 0 | 134 |
normalized size | 1 | 1.00 | 3.44 | 1.10 | 3.47 | 1.78 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A |
0.443 |
5.880 |
0.641 |
0.435 |
0.452 |
0.000 |
0.000 |
1.490 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 231 | 110 | 396 | 242 | 0 | 0 | 50 |
normalized size | 1 | 1.00 | 1.56 | 0.74 | 2.68 | 1.64 | 0.00 | 0.00 | 0.34 |
time (sec) |
N/A |
0.606 |
1.202 |
0.772 |
0.435 |
0.480 |
0.000 |
0.000 |
1.421 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 90 | 87 | 277 | 138 | 0 | 84 | 93 |
normalized size | 1 | 1.00 | 0.94 | 0.91 | 2.89 | 1.44 | 0.00 | 0.88 | 0.97 |
time (sec) |
N/A |
0.421 |
0.078 |
0.794 |
0.432 |
0.439 |
0.000 |
0.374 |
1.404 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 171 | 87 | 211 | 138 | 0 | 84 | 93 |
normalized size | 1 | 1.00 | 1.78 | 0.91 | 2.20 | 1.44 | 0.00 | 0.88 | 0.97 |
time (sec) |
N/A |
0.304 |
0.466 |
0.768 |
0.435 |
0.442 |
0.000 |
0.333 |
1.396 |
|
|
|
|
|
|
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|
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|
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|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 169 | 79 | 159 | 124 | 0 | 75 | 85 |
normalized size | 1 | 1.00 | 1.92 | 0.90 | 1.81 | 1.41 | 0.00 | 0.85 | 0.97 |
time (sec) |
N/A |
0.202 |
0.460 |
0.752 |
0.430 |
0.427 |
0.000 |
1.193 |
1.377 |
|
|
|
|
|
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|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 126 | 197 | 109 | 122 | 109 | 0 | 107 | 82 |
normalized size | 1 | 1.00 | 1.56 | 0.87 | 0.97 | 0.87 | 0.00 | 0.85 | 0.65 |
time (sec) |
N/A |
0.193 |
0.988 |
0.985 |
0.425 |
0.428 |
0.000 |
0.331 |
1.425 |
|
|
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Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 257 | 131 | 146 | 154 | 0 | 122 | 161 |
normalized size | 1 | 1.00 | 2.57 | 1.31 | 1.46 | 1.54 | 0.00 | 1.22 | 1.61 |
time (sec) |
N/A |
0.143 |
1.008 |
1.083 |
0.425 |
0.426 |
0.000 |
0.350 |
1.504 |
|
|
|
|
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|
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Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F(-2) |
A |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 39 | 0 | 56 | 118 | 0 | 136 | 94 |
normalized size | 1 | 1.00 | 0.58 | 0.00 | 0.84 | 1.76 | 0.00 | 2.03 | 1.40 |
time (sec) |
N/A |
0.081 |
0.070 |
180.000 |
0.427 |
0.448 |
0.000 |
0.459 |
1.569 |
|
|
|
|
|
|
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|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 362 | 174 | 187 | 232 | 0 | 150 | 209 |
normalized size | 1 | 1.00 | 2.81 | 1.35 | 1.45 | 1.80 | 0.00 | 1.16 | 1.62 |
time (sec) |
N/A |
0.173 |
1.405 |
0.981 |
0.440 |
0.447 |
0.000 |
0.438 |
1.852 |
|
|
|
|
|
|
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|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 210 | 210 | 441 | 197 | 205 | 271 | 0 | 163 | 233 |
normalized size | 1 | 1.00 | 2.10 | 0.94 | 0.98 | 1.29 | 0.00 | 0.78 | 1.11 |
time (sec) |
N/A |
0.236 |
1.742 |
0.982 |
0.444 |
0.462 |
0.000 |
0.507 |
2.041 |
|
|
|
|
|
|
|
|
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|
|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 252 | 252 | 499 | 219 | 227 | 310 | 0 | 179 | 257 |
normalized size | 1 | 1.00 | 1.98 | 0.87 | 0.90 | 1.23 | 0.00 | 0.71 | 1.02 |
time (sec) |
N/A |
0.300 |
2.362 |
0.999 |
0.449 |
0.455 |
0.000 |
0.981 |
2.328 |
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 175 | 175 | 121 | 391 | 0 | 373 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.69 | 2.23 | 0.00 | 2.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.176 |
1.048 |
1.896 |
0.000 |
0.507 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 111 | 302 | 0 | 347 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 2.16 | 0.00 | 2.48 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.168 |
1.195 |
1.747 |
0.000 |
0.481 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 97 | 142 | 0 | 313 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 1.35 | 0.00 | 2.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.158 |
0.885 |
1.714 |
0.000 |
0.494 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 70 | 115 | 147 | 234 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.06 | 1.74 | 2.23 | 3.55 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.109 |
0.321 |
1.420 |
0.835 |
0.444 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 90 | 116 | 0 | 266 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.30 | 1.68 | 0.00 | 3.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.148 |
0.588 |
1.585 |
0.000 |
0.589 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 78 | 214 | 0 | 339 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.75 | 2.06 | 0.00 | 3.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.157 |
0.242 |
1.682 |
0.000 |
0.545 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 78 | 311 | 0 | 405 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.56 | 2.24 | 0.00 | 2.91 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.167 |
0.265 |
1.899 |
0.000 |
0.580 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 174 | 174 | 78 | 402 | 0 | 475 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.45 | 2.31 | 0.00 | 2.73 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.177 |
0.244 |
2.200 |
0.000 |
0.639 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 122 | 392 | 0 | 385 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.69 | 2.21 | 0.00 | 2.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.184 |
0.949 |
2.332 |
0.000 |
0.483 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 112 | 232 | 0 | 355 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 1.63 | 0.00 | 2.50 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.170 |
0.908 |
1.840 |
0.000 |
0.462 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 96 | 212 | 998 | 303 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 2.10 | 9.88 | 3.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.123 |
0.677 |
1.431 |
0.818 |
0.459 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 93 | 194 | 0 | 269 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.33 | 2.77 | 0.00 | 3.84 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.156 |
0.584 |
1.374 |
0.000 |
0.540 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 113 | 215 | 0 | 351 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.11 | 2.11 | 0.00 | 3.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.162 |
0.643 |
1.550 |
0.000 |
0.549 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 137 | 137 | 102 | 304 | 0 | 417 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.74 | 2.22 | 0.00 | 3.04 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.178 |
0.804 |
1.762 |
0.000 |
0.560 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 102 | 401 | 0 | 495 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.59 | 2.33 | 0.00 | 2.88 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.187 |
1.291 |
1.768 |
0.000 |
0.603 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 212 | 212 | 134 | 483 | 0 | 441 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.63 | 2.28 | 0.00 | 2.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.191 |
1.305 |
1.837 |
0.000 |
0.525 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 124 | 323 | 0 | 409 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.70 | 1.82 | 0.00 | 2.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.174 |
0.924 |
1.572 |
0.000 |
0.490 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 110 | 303 | 1396 | 353 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.83 | 2.30 | 10.58 | 2.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.141 |
0.813 |
1.368 |
1.146 |
0.500 |
0.000 |
0.000 |
0.000 |
|
|
|
|
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Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 96 | 120 | 0 | 291 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 1.17 | 0.00 | 2.83 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.172 |
0.719 |
1.356 |
0.000 |
0.577 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
B |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 102 | 351 | 0 | 339 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.38 | 4.74 | 0.00 | 4.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.168 |
4.224 |
1.419 |
0.000 |
0.567 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 196 | 306 | 0 | 441 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.88 | 2.94 | 0.00 | 4.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.177 |
5.331 |
1.619 |
0.000 |
0.570 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 361 | 395 | 0 | 527 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.58 | 2.82 | 0.00 | 3.76 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.184 |
7.977 |
1.627 |
0.000 |
0.567 |
0.000 |
0.000 |
0.000 |
|
|
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|
|
|
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|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 205 | 492 | 0 | 601 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.19 | 2.86 | 0.00 | 3.49 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.198 |
3.561 |
1.899 |
0.000 |
0.576 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 185 | 185 | 153 | 544 | 0 | 552 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.83 | 2.94 | 0.00 | 2.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.276 |
1.452 |
1.974 |
0.000 |
1.257 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 166 | 372 | 0 | 518 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.09 | 2.45 | 0.00 | 3.41 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.228 |
1.331 |
1.921 |
0.000 |
1.029 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 124 | 329 | 0 | 438 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 2.76 | 0.00 | 3.68 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.188 |
0.506 |
1.897 |
0.000 |
0.725 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 82 | 144 | 0 | 298 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.94 | 1.66 | 0.00 | 3.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.138 |
0.297 |
1.523 |
0.000 |
0.597 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 101 | 194 | 0 | 436 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.83 | 1.60 | 0.00 | 3.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.192 |
0.575 |
1.719 |
0.000 |
0.618 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 5576 | 377 | 0 | 520 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 34.63 | 2.34 | 0.00 | 3.23 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.235 |
24.117 |
1.952 |
0.000 |
0.604 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 5592 | 545 | 0 | 608 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 28.53 | 2.78 | 0.00 | 3.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.284 |
23.742 |
2.566 |
0.000 |
0.610 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 196 | 552 | 0 | 634 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 2.72 | 0.00 | 3.12 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.286 |
1.579 |
1.970 |
0.000 |
1.869 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 132 | 377 | 0 | 550 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.78 | 2.23 | 0.00 | 3.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.240 |
1.772 |
1.992 |
0.000 |
1.018 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 134 | 128 | 369 | 0 | 542 | 0 | 0 | -1 |
normalized size | 1 | 1.13 | 1.08 | 3.10 | 0.00 | 4.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.192 |
1.114 |
1.762 |
0.000 |
0.934 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 130 | 130 | 371 | 0 | 505 | 0 | 0 | -1 |
normalized size | 1 | 1.15 | 1.15 | 3.28 | 0.00 | 4.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.166 |
1.003 |
1.870 |
0.000 |
0.666 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 154 | 377 | 0 | 514 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.87 | 2.13 | 0.00 | 2.90 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.244 |
1.185 |
1.904 |
0.000 |
0.631 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 214 | 214 | 5612 | 387 | 0 | 560 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 26.22 | 1.81 | 0.00 | 2.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.278 |
24.032 |
2.498 |
0.000 |
0.652 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 249 | 249 | 5629 | 725 | 0 | 714 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 22.61 | 2.91 | 0.00 | 2.87 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.340 |
23.977 |
2.508 |
0.000 |
0.693 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 260 | 260 | 180 | 726 | 0 | 742 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.69 | 2.79 | 0.00 | 2.85 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.341 |
3.642 |
2.549 |
0.000 |
2.963 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 229 | 229 | 164 | 550 | 0 | 655 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.72 | 2.40 | 0.00 | 2.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.296 |
2.680 |
2.058 |
0.000 |
2.476 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 191 | 191 | 136 | 553 | 0 | 645 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.71 | 2.90 | 0.00 | 3.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.252 |
1.590 |
2.112 |
0.000 |
1.982 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 189 | 189 | 136 | 545 | 0 | 645 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.72 | 2.88 | 0.00 | 3.41 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.230 |
1.561 |
1.879 |
0.000 |
1.529 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 181 | 134 | 543 | 0 | 605 | 0 | 0 | -1 |
normalized size | 1 | 1.22 | 0.91 | 3.67 | 0.00 | 4.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.192 |
1.490 |
1.618 |
0.000 |
1.035 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 230 | 230 | 158 | 545 | 0 | 608 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.69 | 2.37 | 0.00 | 2.64 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.306 |
1.519 |
2.158 |
0.000 |
0.658 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 269 | 269 | 5650 | 725 | 0 | 706 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 21.00 | 2.70 | 0.00 | 2.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.335 |
24.173 |
2.328 |
0.000 |
0.675 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 185 | 185 | 149 | 195 | 1289 | 459 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.81 | 1.05 | 6.97 | 2.48 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.372 |
6.136 |
2.575 |
0.887 |
0.592 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 162 | 185 | 710 | 425 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.17 | 1.33 | 5.11 | 3.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.273 |
2.311 |
2.354 |
1.041 |
0.566 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 99 | 165 | 243 | 350 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.06 | 1.77 | 2.61 | 3.76 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.178 |
1.244 |
2.306 |
0.774 |
0.569 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 102 | 128 | 39 | 200 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.12 | 2.67 | 0.81 | 4.17 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.084 |
0.582 |
2.398 |
0.813 |
0.571 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 86 | 100 | 65 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.69 | 1.96 | 1.27 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.086 |
0.978 |
2.120 |
0.593 |
0.567 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 107 | 164 | 399 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.11 | 1.71 | 4.16 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.179 |
1.042 |
2.548 |
1.028 |
0.545 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 152 | 226 | 1173 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.07 | 1.59 | 8.26 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.271 |
1.254 |
2.678 |
1.097 |
0.552 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 188 | 198 | 288 | 2444 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.05 | 1.53 | 13.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.366 |
1.942 |
2.179 |
4.634 |
0.564 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 157 | 190 | 1356 | 467 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.83 | 1.00 | 7.14 | 2.46 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.364 |
1.278 |
2.002 |
1.052 |
0.571 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 159 | 172 | 477 | 346 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.54 | 1.67 | 4.63 | 3.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.110 |
1.391 |
2.084 |
0.887 |
0.587 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 128 | 152 | 243 | 347 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.38 | 1.63 | 2.61 | 3.73 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.169 |
0.784 |
2.031 |
0.991 |
0.566 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 105 | 157 | 60 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.01 | 1.51 | 0.58 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.103 |
1.201 |
1.948 |
0.556 |
0.632 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 115 | 161 | 95 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.15 | 1.61 | 0.95 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.186 |
0.685 |
1.973 |
0.723 |
0.567 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 153 | 227 | 1786 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.05 | 1.55 | 12.23 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.283 |
1.272 |
2.095 |
1.213 |
0.569 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 196 | 196 | 199 | 289 | 3480 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.02 | 1.47 | 17.76 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.382 |
2.202 |
2.295 |
3.656 |
0.614 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 164 | 192 | 1619 | 405 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.07 | 1.25 | 10.58 | 2.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.120 |
1.536 |
2.104 |
1.181 |
0.599 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 149 | 200 | 1356 | 467 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.78 | 1.05 | 7.14 | 2.46 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.363 |
1.196 |
2.047 |
1.114 |
0.579 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 164 | 180 | 710 | 420 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.18 | 1.29 | 5.11 | 3.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.263 |
1.404 |
2.324 |
1.051 |
0.560 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 292 | 184 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.92 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.114 |
6.764 |
2.061 |
0.000 |
0.616 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 111 | 239 | 0 | 442 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.16 | 2.49 | 0.00 | 4.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.179 |
1.294 |
2.256 |
0.000 |
0.585 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
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|
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|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 155 | 229 | 139 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.55 | 2.29 | 1.39 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.181 |
1.386 |
2.251 |
0.567 |
0.558 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 202 | 281 | 3738 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.36 | 1.90 | 25.26 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.278 |
2.670 |
2.369 |
4.396 |
0.571 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 194 | 194 | 285 | 353 | 6134 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.47 | 1.82 | 31.62 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.376 |
5.498 |
2.352 |
24.801 |
0.616 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 244 | 244 | 299 | 415 | 9150 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.23 | 1.70 | 37.50 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.474 |
5.986 |
2.192 |
146.306 |
0.613 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 153 | 190 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.75 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.124 |
16.348 |
2.216 |
0.000 |
0.633 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 181 | 170 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.20 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.113 |
4.017 |
2.238 |
0.000 |
0.615 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 103 | 93 | 60 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.01 | 0.91 | 0.59 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.107 |
9.715 |
2.396 |
0.835 |
0.618 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 127 | 75 | 34 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.59 | 1.53 | 0.69 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.084 |
0.981 |
2.411 |
0.729 |
0.523 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 104 | 101 | 39 | 272 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.26 | 2.20 | 0.85 | 5.91 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.090 |
1.085 |
2.376 |
0.838 |
0.725 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 168 | 217 | 143 | 167 | 818 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.29 | 0.85 | 0.99 | 4.87 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.137 |
8.673 |
2.591 |
0.950 |
0.650 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 274 | 274 | 194 | 229 | 2206 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.71 | 0.84 | 8.05 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.161 |
1.930 |
2.587 |
1.279 |
1.018 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 204 | 278 | 2393 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 1.29 | 11.13 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.145 |
2.275 |
2.271 |
1.484 |
0.736 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
B |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 116 | 238 | 0 | 453 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.21 | 2.48 | 0.00 | 4.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.193 |
0.744 |
2.163 |
0.000 |
0.576 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 114 | 106 | 70 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.16 | 1.08 | 0.71 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.196 |
1.140 |
2.191 |
0.726 |
0.526 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 106 | 119 | 395 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.13 | 1.27 | 4.20 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.189 |
0.633 |
2.302 |
0.957 |
0.551 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 141 | 159 | 818 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.66 | 0.74 | 3.80 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.146 |
1.418 |
2.433 |
0.958 |
0.806 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 121 | 173 | 486 | 492 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.20 | 1.71 | 4.81 | 4.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.121 |
1.528 |
2.391 |
0.880 |
0.863 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 347 | 347 | 275 | 293 | 4272 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 0.84 | 12.31 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.184 |
2.619 |
2.948 |
4.183 |
0.801 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 220 | 220 | 157 | 338 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.71 | 1.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.144 |
2.540 |
2.602 |
0.000 |
0.692 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 154 | 144 | 102 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.57 | 1.47 | 1.04 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.187 |
1.572 |
2.747 |
0.714 |
0.559 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 152 | 152 | 1786 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.06 | 1.06 | 12.40 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.288 |
0.866 |
2.653 |
1.146 |
0.557 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 151 | 152 | 1165 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.08 | 1.09 | 8.32 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.282 |
0.675 |
2.787 |
1.397 |
0.574 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 270 | 270 | 195 | 223 | 2206 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.72 | 0.83 | 8.17 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.154 |
1.659 |
2.707 |
1.144 |
0.771 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
F |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 345 | 345 | 275 | 284 | 4272 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.80 | 0.82 | 12.38 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.181 |
2.400 |
2.604 |
4.632 |
0.795 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 149 | 237 | 1386 | 564 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.99 | 1.57 | 9.18 | 3.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.131 |
2.192 |
2.480 |
1.338 |
1.022 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.094 |
1.103 |
2.135 |
0.000 |
0.478 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.122 |
0.445 |
2.389 |
0.000 |
0.507 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.100 |
3.242 |
2.857 |
0.000 |
0.452 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.099 |
1.526 |
2.293 |
0.000 |
0.460 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.075 |
1.598 |
2.099 |
0.000 |
0.431 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.100 |
0.999 |
2.274 |
0.000 |
0.433 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.100 |
1.726 |
1.752 |
0.000 |
0.442 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.145 |
8.540 |
1.739 |
0.000 |
0.453 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 119 | 119 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.162 |
11.826 |
1.727 |
0.000 |
0.466 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.083 |
0.143 |
1.883 |
0.000 |
0.455 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.112 |
1.363 |
1.928 |
0.000 |
0.447 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.168 |
1.765 |
2.005 |
0.000 |
0.461 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 133 | 141 | 0 | 293 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.46 | 1.55 | 0.00 | 3.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.082 |
0.652 |
1.781 |
0.000 |
0.556 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 231 | 231 | 810 | 295 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 3.51 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.257 |
18.228 |
1.923 |
0.000 |
0.826 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 178 | 285 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.211 |
8.746 |
1.985 |
0.000 |
22.527 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 319 | 319 | 187 | 327 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.59 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.370 |
12.708 |
2.100 |
0.000 |
0.818 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 587 | 546 | 0 | 472 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.17 | 2.01 | 0.00 | 1.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.173 |
14.296 |
2.134 |
0.000 |
0.512 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 517 | 389 | 0 | 392 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.52 | 1.90 | 0.00 | 1.91 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.141 |
14.186 |
1.955 |
0.000 |
0.483 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 444 | 248 | 0 | 320 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 3.08 | 1.72 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.116 |
6.589 |
1.735 |
0.000 |
0.478 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 76 | 118 | 147 | 235 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.15 | 1.79 | 2.23 | 3.56 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.087 |
0.315 |
1.546 |
0.592 |
0.501 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
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|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 2650 | 502 | 0 | 669 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 25.24 | 4.78 | 0.00 | 6.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.230 |
25.068 |
1.750 |
0.000 |
0.868 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 219 | 219 | 2907 | 97265 | 0 | 1413 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 13.27 | 444.13 | 0.00 | 6.45 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.222 |
28.578 |
2.998 |
0.000 |
2.865 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 287 | 287 | 3070 | 330749 | 0 | 2368 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 10.70 | 1152.44 | 0.00 | 8.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.307 |
24.493 |
19.097 |
0.000 |
7.738 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 241 | 241 | 219 | 539 | 0 | 482 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.91 | 2.24 | 0.00 | 2.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.200 |
3.892 |
1.853 |
0.000 |
0.502 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 145 | 382 | 0 | 398 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.82 | 2.17 | 0.00 | 2.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.144 |
1.335 |
1.674 |
0.000 |
0.504 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 102 | 237 | 998 | 316 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 2.26 | 9.50 | 3.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.150 |
0.590 |
1.536 |
1.400 |
0.511 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 135 | 864 | 0 | 731 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.23 | 7.85 | 0.00 | 6.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.241 |
0.497 |
1.493 |
0.000 |
1.625 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 229 | 229 | 2862 | 62283 | 0 | 1640 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 12.50 | 271.98 | 0.00 | 7.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.249 |
24.922 |
3.116 |
0.000 |
7.403 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 310 | 310 | 3166 | 234091 | 0 | 2729 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 10.21 | 755.13 | 0.00 | 8.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.342 |
24.704 |
11.531 |
0.000 |
20.444 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 336 | 336 | 286 | 677 | 0 | 620 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 2.01 | 0.00 | 1.85 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.209 |
6.496 |
1.908 |
0.000 |
0.522 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 258 | 191 | 504 | 0 | 500 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.74 | 1.95 | 0.00 | 1.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.177 |
2.669 |
1.797 |
0.000 |
0.539 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 128 | 341 | 1396 | 390 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.90 | 2.40 | 9.83 | 2.75 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.232 |
1.026 |
1.481 |
0.799 |
0.461 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 343 | 1487 | 0 | 1140 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.69 | 7.33 | 0.00 | 5.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.232 |
6.547 |
1.498 |
0.000 |
5.105 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 329 | 329 | 280 | 46082 | 0 | 2031 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 140.07 | 0.00 | 6.17 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.337 |
3.645 |
2.123 |
0.000 |
23.656 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F(-1) |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 536 | 536 | 3344 | 209489 | 0 | 3351 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 6.24 | 390.84 | 0.00 | 6.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.492 |
26.115 |
8.149 |
0.000 |
40.755 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 258 | 787 | 907 | 0 | 619 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 3.05 | 3.52 | 0.00 | 2.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.207 |
7.240 |
1.913 |
0.000 |
13.682 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 183 | 295 | 358 | 0 | 481 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.61 | 1.96 | 0.00 | 2.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.158 |
2.496 |
1.692 |
0.000 |
3.346 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 92 | 194 | 0 | 314 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.01 | 2.13 | 0.00 | 3.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.110 |
0.295 |
1.500 |
0.000 |
1.226 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 431980 | 662 | 0 | 1050 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2602.29 | 3.99 | 0.00 | 6.33 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.372 |
39.128 |
2.051 |
0.000 |
18.623 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-1) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 416 | 416 | 473385 | 117715 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1137.94 | 282.97 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.422 |
36.128 |
5.174 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 653 | 653 | 654358 | 402966 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1002.08 | 617.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.646 |
38.992 |
24.788 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 324 | 324 | 856 | 957 | 0 | 701 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.64 | 2.95 | 0.00 | 2.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.237 |
6.575 |
1.882 |
0.000 |
34.523 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
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|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 290 | 290 | 16153 | 756 | 0 | 620 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 55.70 | 2.61 | 0.00 | 2.14 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.217 |
27.749 |
1.548 |
0.000 |
12.896 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 10105 | 552 | 0 | 548 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 79.57 | 4.35 | 0.00 | 4.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.183 |
26.696 |
1.380 |
0.000 |
3.182 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-1) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 394 | 394 | 378865 | 2076 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 961.59 | 5.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.335 |
35.207 |
1.783 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 560 | 560 | 582620 | 164796 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1040.39 | 294.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.511 |
38.103 |
5.454 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-2) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 802 | 802 | 776222 | 480553 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 967.86 | 599.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.797 |
41.230 |
31.938 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 480 | 480 | 21194 | 1444 | 0 | 880 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 44.15 | 3.01 | 0.00 | 1.83 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.316 |
29.390 |
1.898 |
0.000 |
56.607 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
A |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 468 | 468 | 16249 | 1133 | 0 | 782 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 34.72 | 2.42 | 0.00 | 1.67 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.295 |
27.953 |
1.636 |
0.000 |
23.944 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 11243 | 824 | 0 | 670 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 68.55 | 5.02 | 0.00 | 4.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.265 |
26.947 |
1.727 |
0.000 |
6.363 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-1) |
F |
F(-2) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 592 | 592 | 486155 | 3860 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 821.21 | 6.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.457 |
36.996 |
2.046 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-2) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 756 | 756 | 688080 | 197500 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 910.16 | 261.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.634 |
40.037 |
7.791 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-1) |
F(-1) |
F |
F(-2) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 999 | 999 | 893714 | 556423 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 894.61 | 556.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.914 |
43.442 |
44.265 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 240 | 1562 | 0 | 806 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.95 | 12.70 | 0.00 | 6.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.339 |
18.422 |
2.243 |
0.000 |
1.469 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 102 | 189 | 0 | 206 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.67 | 3.10 | 0.00 | 3.38 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.097 |
0.217 |
1.957 |
0.000 |
0.591 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 135 | 377 | 0 | 517 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.22 | 3.40 | 0.00 | 4.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.357 |
0.960 |
2.046 |
0.000 |
0.601 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 184 | 494 | 0 | 883 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.30 | 3.50 | 0.00 | 6.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.369 |
14.615 |
1.885 |
0.000 |
1.004 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 171 | 424 | 0 | 913 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.21 | 3.01 | 0.00 | 6.48 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.339 |
0.350 |
2.133 |
0.000 |
1.688 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 68 | 113 | 0 | 250 | 0 | 278 | 573 |
normalized size | 1 | 1.00 | 1.01 | 1.69 | 0.00 | 3.73 | 0.00 | 4.15 | 8.55 |
time (sec) |
N/A |
0.126 |
0.165 |
0.736 |
0.000 |
0.476 |
0.000 |
0.284 |
2.676 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 155 | 328 | 0 | 561 | 0 | 209 | 3763 |
normalized size | 1 | 1.00 | 1.26 | 2.67 | 0.00 | 4.56 | 0.00 | 1.70 | 30.59 |
time (sec) |
N/A |
0.247 |
0.661 |
0.769 |
0.000 |
0.495 |
0.000 |
0.581 |
9.327 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 204 | 204 | 267 | 1063 | 0 | 1152 | 0 | 477 | 6909 |
normalized size | 1 | 1.00 | 1.31 | 5.21 | 0.00 | 5.65 | 0.00 | 2.34 | 33.87 |
time (sec) |
N/A |
0.510 |
1.418 |
0.773 |
0.000 |
0.589 |
0.000 |
8.542 |
11.353 |
|
|
|
|
|
|
|
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Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 136 | 462 | 0 | 671 | 0 | 246 | 4934 |
normalized size | 1 | 1.00 | 1.02 | 3.47 | 0.00 | 5.05 | 0.00 | 1.85 | 37.10 |
time (sec) |
N/A |
0.285 |
0.794 |
0.782 |
0.000 |
0.531 |
0.000 |
0.298 |
10.205 |
|
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Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 237 | 237 | 493 | 1593 | 0 | 1409 | 0 | 686 | 8682 |
normalized size | 1 | 1.00 | 2.08 | 6.72 | 0.00 | 5.95 | 0.00 | 2.89 | 36.63 |
time (sec) |
N/A |
0.796 |
2.044 |
0.738 |
0.000 |
0.582 |
0.000 |
0.456 |
12.136 |
|
|
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Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 377 | 377 | 438 | 3293 | 0 | 2362 | 0 | 1253 | 12818 |
normalized size | 1 | 1.00 | 1.16 | 8.73 | 0.00 | 6.27 | 0.00 | 3.32 | 34.00 |
time (sec) |
N/A |
1.999 |
3.451 |
0.802 |
0.000 |
0.731 |
0.000 |
0.465 |
15.074 |
|
|
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Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 254 | 254 | 517 | 2031 | 0 | 1629 | 0 | 852 | 10759 |
normalized size | 1 | 1.00 | 2.04 | 8.00 | 0.00 | 6.41 | 0.00 | 3.35 | 42.36 |
time (sec) |
N/A |
1.132 |
2.303 |
0.723 |
0.000 |
0.680 |
0.000 |
1.609 |
14.496 |
|
|
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Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 412 | 412 | 459 | 4330 | 0 | 2776 | 0 | 1639 | 15647 |
normalized size | 1 | 1.00 | 1.11 | 10.51 | 0.00 | 6.74 | 0.00 | 3.98 | 37.98 |
time (sec) |
N/A |
1.062 |
3.777 |
0.764 |
0.000 |
0.809 |
0.000 |
0.931 |
16.091 |
|
|
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Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 622 | 622 | 1285 | 8573 | 0 | 4346 | 0 | 3311 | 21021 |
normalized size | 1 | 1.00 | 2.07 | 13.78 | 0.00 | 6.99 | 0.00 | 5.32 | 33.80 |
time (sec) |
N/A |
1.769 |
6.926 |
0.795 |
0.000 |
1.129 |
0.000 |
15.070 |
16.348 |
|
|
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Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 320 | 320 | 913 | 1372 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.85 | 4.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.283 |
17.935 |
1.944 |
0.000 |
0.794 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 220 | 220 | 225 | 443 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.02 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.244 |
4.591 |
1.693 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 380 | 380 | 6063 | 2337 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 15.96 | 6.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.433 |
24.765 |
1.884 |
0.000 |
1.280 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 326 | 326 | 230 | 581 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.71 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.361 |
6.308 |
1.704 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
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|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 442 | 442 | 7138 | 3285 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 16.15 | 7.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.629 |
25.995 |
2.199 |
0.000 |
1.466 |
0.000 |
0.000 |
0.000 |
|
|
|
|
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|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 208 | 208 | 145 | 215 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.70 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.117 |
2.687 |
1.720 |
0.000 |
1.381 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
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|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 216 | 216 | 251 | 318 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.16 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.238 |
8.624 |
1.804 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 376 | 376 | 1491 | 2010 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 3.97 | 5.35 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.428 |
14.819 |
1.804 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 495 | 495 | 2083 | 5710 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 4.21 | 11.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.778 |
17.431 |
1.806 |
0.000 |
1.592 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
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|
|
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|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 389 | 389 | 39925 | 543 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 102.63 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.447 |
32.947 |
2.293 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 336 | 352 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.70 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.106 |
5.873 |
2.146 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 598 | 598 | 1708 | 2847 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.86 | 4.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.902 |
9.283 |
2.686 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 899 | 899 | 1990 | 15724 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.21 | 17.49 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
2.258 |
6.904 |
3.079 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 744 | 744 | 1750 | 4298 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.35 | 5.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
1.106 |
9.722 |
2.098 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 919 | 919 | 1960 | 13060 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.13 | 14.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
2.132 |
6.736 |
2.234 |
0.000 |
9.291 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1122 | 1122 | 2385 | 39420 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.13 | 35.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
3.163 |
7.414 |
3.402 |
0.000 |
8.699 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 891 | 891 | 2026 | 15922 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.27 | 17.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
2.009 |
6.726 |
2.296 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1150 | 1150 | 2344 | 32283 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.04 | 28.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
3.435 |
7.316 |
2.977 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1428 | 1428 | 2979 | 75468 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.09 | 52.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
5.438 |
8.285 |
4.944 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
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|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
F |
C |
A |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
N/A |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 652 | 0 | 49385 | 491 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 75.74 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.093 |
32.785 |
2.103 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 325 | 352 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.64 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.111 |
5.536 |
2.129 |
0.000 |
4.521 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 398 | 398 | 249 | 292 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.63 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.437 |
2.372 |
2.152 |
0.000 |
5.836 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
F(-1) |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 622 | 763 | 1761 | 3451 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.23 | 2.83 | 5.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
1.316 |
9.642 |
2.361 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.191 |
2.367 |
1.601 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.092 |
52.113 |
1.327 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
F(-1) |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.091 |
89.285 |
1.263 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.220 |
2.613 |
1.448 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.097 |
53.308 |
1.270 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
F(-1) |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.096 |
92.805 |
1.366 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.218 |
62.593 |
1.344 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
F(-1) |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.097 |
102.048 |
1.270 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
F(-1) |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.097 |
148.174 |
1.317 |
0.000 |
0.000 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 2425 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 22.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.189 |
14.612 |
2.509 |
0.000 |
1.010 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 275 | 275 | 343 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.437 |
2.305 |
1.273 |
0.000 |
0.784 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 299 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.249 |
2.819 |
1.178 |
0.000 |
0.917 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 156 | 124 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.146 |
0.209 |
1.224 |
0.000 |
0.956 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 208 | 208 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.271 |
1.178 |
1.139 |
0.000 |
0.677 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
F |
F |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 248 | 248 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.451 |
10.827 |
1.172 |
0.000 |
0.471 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.116 |
2.691 |
1.450 |
0.000 |
0.521 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 296 | 296 | 278 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.515 |
1.306 |
0.921 |
0.000 |
0.438 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 211 | 211 | 200 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.242 |
0.542 |
1.050 |
0.000 |
0.467 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 156 | 125 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.144 |
0.240 |
1.049 |
0.000 |
0.452 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 206 | 206 | 5411 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 26.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.402 |
25.625 |
0.845 |
0.000 |
0.441 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 322 | 322 | 14108 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 43.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.559 |
45.375 |
1.000 |
0.000 |
0.488 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf
size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is given. The larger this ratio is, the harder
the integral was to solve. In this test, problem number [31] had the largest ratio of
[.5769]
|
|
|
|
|
|
|
| Table 2.1:Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
15 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
2 |
A |
11 |
8 |
1.00 |
26 |
0.308 |
|
|
|
|
|
|
|
3 |
A |
5 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
4 |
A |
4 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
5 |
A |
4 |
3 |
1.00 |
24 |
0.125 |
|
|
|
|
|
|
|
6 |
A |
8 |
6 |
1.00 |
26 |
0.231 |
|
|
|
|
|
|
|
7 |
A |
9 |
6 |
1.00 |
26 |
0.231 |
|
|
|
|
|
|
|
8 |
A |
12 |
7 |
1.00 |
26 |
0.269 |
|
|
|
|
|
|
|
9 |
A |
15 |
7 |
1.00 |
26 |
0.269 |
|
|
|
|
|
|
|
10 |
A |
18 |
7 |
1.00 |
26 |
0.269 |
|
|
|
|
|
|
|
11 |
A |
13 |
8 |
1.00 |
26 |
0.308 |
|
|
|
|
|
|
|
12 |
A |
6 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
13 |
A |
5 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
14 |
A |
5 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
15 |
A |
9 |
8 |
1.00 |
24 |
0.333 |
|
|
|
|
|
|
|
16 |
A |
15 |
11 |
1.00 |
26 |
0.423 |
|
|
|
|
|
|
|
17 |
A |
13 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
18 |
A |
15 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
19 |
A |
19 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
20 |
A |
23 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
21 |
A |
26 |
14 |
1.12 |
26 |
0.538 |
|
|
|
|
|
|
|
22 |
A |
21 |
13 |
1.00 |
26 |
0.500 |
|
|
|
|
|
|
|
23 |
A |
13 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
24 |
A |
9 |
6 |
1.00 |
26 |
0.231 |
|
|
|
|
|
|
|
25 |
A |
7 |
5 |
1.00 |
24 |
0.208 |
|
|
|
|
|
|
|
26 |
A |
4 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
27 |
A |
4 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
28 |
A |
5 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
29 |
A |
13 |
8 |
1.00 |
26 |
0.308 |
|
|
|
|
|
|
|
30 |
A |
17 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
31 |
A |
29 |
15 |
1.00 |
26 |
0.577 |
|
|
|
|
|
|
|
32 |
A |
20 |
13 |
1.00 |
26 |
0.500 |
|
|
|
|
|
|
|
33 |
A |
15 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
34 |
A |
12 |
7 |
1.00 |
26 |
0.269 |
|
|
|
|
|
|
|
35 |
A |
9 |
6 |
1.00 |
24 |
0.250 |
|
|
|
|
|
|
|
36 |
A |
12 |
8 |
1.00 |
26 |
0.308 |
|
|
|
|
|
|
|
37 |
A |
5 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
38 |
A |
5 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
39 |
A |
6 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
40 |
A |
14 |
8 |
1.00 |
26 |
0.308 |
|
|
|
|
|
|
|
41 |
A |
18 |
9 |
1.00 |
26 |
0.346 |
|
|
|
|
|
|
|
42 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
43 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
44 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
45 |
A |
4 |
4 |
1.00 |
26 |
0.154 |
|
|
|
|
|
|
|
46 |
A |
4 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
47 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
48 |
A |
6 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
49 |
A |
7 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
50 |
A |
6 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
51 |
A |
6 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
52 |
A |
5 |
5 |
1.00 |
26 |
0.192 |
|
|
|
|
|
|
|
53 |
A |
4 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
54 |
A |
5 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
55 |
A |
6 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
56 |
A |
7 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
57 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
58 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
59 |
A |
5 |
4 |
1.00 |
26 |
0.154 |
|
|
|
|
|
|
|
60 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
61 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
62 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
63 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
64 |
A |
5 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
65 |
A |
8 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
66 |
A |
7 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
67 |
A |
6 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
68 |
A |
5 |
4 |
1.00 |
26 |
0.154 |
|
|
|
|
|
|
|
69 |
A |
6 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
70 |
A |
7 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
71 |
A |
8 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
72 |
A |
8 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
73 |
A |
7 |
6 |
1.00 |
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 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
77 |
A |
8 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
78 |
A |
9 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
79 |
A |
9 |
7 |
1.00 |
28 |
0.250 |
|
|
|
|
|
|
|
80 |
A |
8 |
7 |
1.00 |
28 |
0.250 |
|
|
|
|
|
|
|
81 |
A |
7 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
82 |
A |
7 |
6 |
1.00 |
28 |
0.214 |
|
|
|
|
|
|
|
83 |
A |
7 |
6 |
1.22 |
26 |
0.231 |
|
|
|
|
|
|
|
84 |
A |
8 |
7 |
1.00 |
28 |
0.250 |
|
|
|
|
|
|
|
85 |
A |
9 |
7 |
1.00 |
28 |
0.250 |
|
|
|
|
|
|
|
86 |
A |
5 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
87 |
A |
4 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
88 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
89 |
A |
2 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
90 |
A |
2 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
91 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
92 |
A |
4 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
93 |
A |
5 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
94 |
A |
5 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
95 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
96 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
97 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
98 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
99 |
A |
4 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
100 |
A |
5 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
101 |
A |
4 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
102 |
A |
5 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
103 |
A |
4 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
104 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
105 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
106 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
107 |
A |
4 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
108 |
A |
5 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
109 |
A |
6 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
110 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
111 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
112 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
113 |
A |
2 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
114 |
A |
2 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
115 |
A |
3 |
2 |
1.29 |
30 |
0.067 |
|
|
|
|
|
|
|
116 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
117 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
118 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
119 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
120 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
121 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
122 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
123 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
124 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
125 |
A |
3 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
126 |
A |
4 |
4 |
1.00 |
30 |
0.133 |
|
|
|
|
|
|
|
127 |
A |
4 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
128 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
129 |
A |
3 |
2 |
1.00 |
30 |
0.067 |
|
|
|
|
|
|
|
130 |
A |
4 |
3 |
1.00 |
30 |
0.100 |
|
|
|
|
|
|
|
131 |
A |
2 |
2 |
1.00 |
24 |
0.083 |
|
|
|
|
|
|
|
132 |
A |
3 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
133 |
A |
3 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
134 |
A |
3 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
135 |
A |
3 |
3 |
1.00 |
24 |
0.125 |
|
|
|
|
|
|
|
136 |
A |
3 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
137 |
A |
3 |
3 |
1.00 |
26 |
0.115 |
|
|
|
|
|
|
|
138 |
A |
4 |
3 |
1.00 |
28 |
0.107 |
|
|
|
|
|
|
|
139 |
A |
3 |
3 |
1.00 |
28 |
0.107 |
|
|
|
|
|
|
|
140 |
A |
2 |
2 |
1.00 |
28 |
0.071 |
|
|
|
|
|
|
|
141 |
A |
4 |
4 |
1.00 |
28 |
0.143 |
|
|
|
|
|
|
|
142 |
A |
5 |
5 |
1.00 |
28 |
0.179 |
|
|
|
|
|
|
|
143 |
A |
6 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
144 |
A |
3 |
3 |
1.00 |
27 |
0.111 |
|
|
|
|
|
|
|
145 |
A |
3 |
3 |
1.00 |
27 |
0.111 |
|
|
|
|
|
|
|
146 |
A |
5 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
147 |
A |
5 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
148 |
A |
5 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
149 |
A |
5 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
150 |
A |
4 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
151 |
A |
5 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
152 |
A |
7 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
153 |
A |
8 |
7 |
1.00 |
27 |
0.259 |
|
|
|
|
|
|
|
154 |
A |
6 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
155 |
A |
5 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
156 |
A |
5 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
157 |
A |
5 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
158 |
A |
7 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
159 |
A |
8 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
160 |
A |
5 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
161 |
A |
5 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
162 |
A |
6 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
163 |
A |
7 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
164 |
A |
10 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
165 |
A |
14 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
166 |
A |
9 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
167 |
A |
7 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
168 |
A |
5 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
169 |
A |
8 |
7 |
1.00 |
27 |
0.259 |
|
|
|
|
|
|
|
170 |
A |
12 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
171 |
A |
16 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
172 |
A |
10 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
173 |
A |
10 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
174 |
A |
6 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
175 |
A |
12 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
176 |
A |
15 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
177 |
A |
19 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
178 |
A |
14 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
179 |
A |
14 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
180 |
A |
7 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
181 |
A |
16 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
182 |
A |
19 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
183 |
A |
23 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
184 |
A |
5 |
5 |
1.00 |
29 |
0.172 |
|
|
|
|
|
|
|
185 |
A |
2 |
2 |
1.00 |
29 |
0.069 |
|
|
|
|
|
|
|
186 |
A |
5 |
5 |
1.00 |
29 |
0.172 |
|
|
|
|
|
|
|
187 |
A |
5 |
4 |
1.00 |
29 |
0.138 |
|
|
|
|
|
|
|
188 |
A |
5 |
4 |
1.00 |
29 |
0.138 |
|
|
|
|
|
|
|
189 |
A |
4 |
4 |
1.00 |
23 |
0.174 |
|
|
|
|
|
|
|
190 |
A |
5 |
5 |
1.00 |
23 |
0.217 |
|
|
|
|
|
|
|
191 |
A |
6 |
6 |
1.00 |
23 |
0.261 |
|
|
|
|
|
|
|
192 |
A |
5 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
193 |
A |
6 |
6 |
1.00 |
25 |
0.240 |
|
|
|
|
|
|
|
194 |
A |
7 |
7 |
1.00 |
25 |
0.280 |
|
|
|
|
|
|
|
195 |
A |
6 |
6 |
1.00 |
25 |
0.240 |
|
|
|
|
|
|
|
196 |
A |
7 |
7 |
1.00 |
25 |
0.280 |
|
|
|
|
|
|
|
197 |
A |
8 |
8 |
1.00 |
25 |
0.320 |
|
|
|
|
|
|
|
198 |
A |
5 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
199 |
A |
3 |
3 |
1.00 |
27 |
0.111 |
|
|
|
|
|
|
|
200 |
A |
6 |
6 |
1.00 |
25 |
0.240 |
|
|
|
|
|
|
|
201 |
A |
5 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
202 |
A |
7 |
7 |
1.00 |
25 |
0.280 |
|
|
|
|
|
|
|
203 |
A |
3 |
3 |
1.00 |
25 |
0.120 |
|
|
|
|
|
|
|
204 |
A |
3 |
3 |
1.00 |
27 |
0.111 |
|
|
|
|
|
|
|
205 |
A |
6 |
6 |
1.00 |
25 |
0.240 |
|
|
|
|
|
|
|
206 |
A |
7 |
7 |
1.00 |
25 |
0.280 |
|
|
|
|
|
|
|
207 |
A |
3 |
3 |
1.00 |
29 |
0.103 |
|
|
|
|
|
|
|
208 |
A |
1 |
1 |
1.00 |
29 |
0.034 |
|
|
|
|
|
|
|
209 |
A |
5 |
5 |
1.00 |
29 |
0.172 |
|
|
|
|
|
|
|
210 |
A |
7 |
7 |
1.00 |
29 |
0.241 |
|
|
|
|
|
|
|
211 |
A |
6 |
6 |
1.00 |
29 |
0.207 |
|
|
|
|
|
|
|
212 |
A |
7 |
7 |
1.00 |
29 |
0.241 |
|
|
|
|
|
|
|
213 |
A |
8 |
8 |
1.00 |
29 |
0.276 |
|
|
|
|
|
|
|
214 |
A |
7 |
7 |
1.00 |
29 |
0.241 |
|
|
|
|
|
|
|
215 |
A |
8 |
8 |
1.00 |
29 |
0.276 |
|
|
|
|
|
|
|
216 |
A |
9 |
8 |
1.00 |
29 |
0.276 |
|
|
|
|
|
|
|
217 |
F |
0 |
0 |
N/A |
0 |
N/A |
|
|
|
|
|
|
|
218 |
A |
1 |
1 |
1.00 |
29 |
0.034 |
|
|
|
|
|
|
|
219 |
A |
3 |
3 |
1.00 |
29 |
0.103 |
|
|
|
|
|
|
|
220 |
A |
6 |
6 |
1.23 |
29 |
0.207 |
|
|
|
|
|
|
|
221 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
222 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
223 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
224 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
225 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
226 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
227 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
228 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
229 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
230 |
A |
4 |
4 |
1.00 |
27 |
0.148 |
|
|
|
|
|
|
|
231 |
A |
8 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
232 |
A |
7 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
233 |
A |
6 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
234 |
A |
7 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
235 |
A |
8 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
236 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
237 |
A |
8 |
6 |
1.00 |
27 |
0.222 |
|
|
|
|
|
|
|
238 |
A |
7 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
239 |
A |
6 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
240 |
A |
7 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
241 |
A |
10 |
5 |
1.00 |
27 |
0.185 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|