Instance: rand-2-40-16-250-350-0_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:58
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 3 16 10.35 10.00 82,804 MAX VALUE 18,548.20 1.91 0.18 2.06
Relational linkage 0.19 0.69 0.45 0.44 286.25 0.00 -525.11 0.08 0.17 1.58
Tightness 0.27 0.44 0.35 0.36 88.27 0.00 -261.18 0.03 0.09 3.37
Tuples 143 188 165.61 165.00 41,402 MAX VALUE 1,277.13 7.72 0.05 3.37
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 19 12.50 12.50 500 MAX VALUE 100.02 2.66 0.21 2.21
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 16
Number of leaves: 7
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 9 108 53.12 42.00 850 1.12e+26 59.98 32.61 0.61 2.60
Cluster variables 7 25 16.00 14.50 256 5.65e+18 43.18 5.95 0.37 2.48
Separator constraints 0 98 37.50 27.50 600 0 None 30.47 0.81 2.69
Separator variables 0 24 13.50 12.50 216 0 None 6.49 0.48 2.60
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 36 844 271.00 196.50 10,298 MAX VALUE 203.98 197.19 0.73 3.60
Cluster variables 12 131 43.37 30.50 1,648 MAX VALUE 136.25 29.72 0.69 3.26
Separator constraints 0 483 191.63 158.50 7,282 0 None 116.86 0.61 3.60
Separator variables 0 101 36.79 28.00 1,398 0 None 22.68 0.62 3.40
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.14 0.53 0.32 0.32 12.67 0.00 -46.94 0.07 0.21 3.35
Degree 6 19 12.50 12.50 500 MAX VALUE 100.02 2.66 0.21 2.21
Eccentricity 2 3 2.17 2.00 87 1.88e+13 30.56 0.38 0.17 0.46
Triangulated primal graph
Density: 66.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.87 0.85 34.67 0.00 -5.88 0.08 0.09 3.24
Degree 6 35 25.80 31.00 1,032 MAX VALUE 126.17 9.12 0.35 2.72
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.69%
MCB compute time (ms): 1,713
MCB cycles: 3,166
Triangles: 11,982
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 0.60 0.50 0.50 126.17 0.00 -171.13 0.02 0.04 4.52
Degree 11 35 24.13 24.00 6,032 MAX VALUE 793.06 3.49 0.14 2.62
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.08 3.00 9,761 MAX VALUE 3,553.67 0.28 0.09 0.29
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 282
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 6 3.68 4.00 920 MAX VALUE 319.46 0.84 0.23 1.17
Eccentricity 6 8 7.03 7.00 1,757 MAX VALUE 486.65 0.57 0.08 0.85
MCB cycle size 4 10 6.72 7.00 1,417 MAX VALUE 398.46 1.16 0.17 1.54
Triangulated dual graph
Density: 54.31%
Triangles: 726,769
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.84 213.23 0.00 -40.69 0.07 0.09 4.82
Degree 11 197 135.22 162.50 33,806 MAX VALUE 1,185.29 58.51 0.43 3.82
Eccentricity 2 3 2.19 2.00 548 MAX VALUE 192.75 0.39 0.18 0.49
Triangulated minimal dual graph
Density: 11.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.81 0.79 203.28 0.00 -55.37 0.14 0.17 3.49
Degree 2 93 27.83 8.00 6,958 MAX VALUE 624.30 32.44 1.17 3.20
Eccentricity 3 5 3.68 4.00 919 MAX VALUE 322.88 0.52 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 212
MCB cycles: 211
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 19 3.45 2.00 1,000 MAX VALUE 273.30 3.75 1.09 0.71
Eccentricity 5 7 5.89 6.00 1,709 MAX VALUE 513.90 0.33 0.06 0.39
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11