Instance: rand-2-40-16-250-350-35_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:07
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 10.40 10.00 83,216 MAX VALUE 18,593.10 1.89 0.18 2.05
Relational linkage 0.19 0.62 0.45 0.44 289.25 0.00 -517.42 0.07 0.16 1.56
Tightness 0.28 0.42 0.35 0.35 87.47 0.00 -263.31 0.03 0.08 3.29
Tuples 148 185 166.43 167.00 41,608 MAX VALUE 1,278.43 6.98 0.04 3.29
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 18 12.50 12.50 500 MAX VALUE 100.24 2.45 0.20 2.16
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: 8
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 14 102 51.19 42.00 819 7.16e+25 59.53 31.01 0.61 2.77
Cluster variables 9 25 16.19 15.00 259 7.21e+18 43.42 5.94 0.37 2.10
Separator constraints 0 91 35.56 22.00 569 0 None 29.39 0.83 2.69
Separator variables 0 24 13.69 12.00 219 0 None 6.53 0.48 2.19
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 72 898 274.95 196.00 10,448 MAX VALUE 205.11 199.11 0.72 3.53
Cluster variables 17 136 43.79 30.50 1,664 MAX VALUE 136.80 29.52 0.67 3.32
Separator constraints 0 465 196.13 165.50 7,453 0 None 115.56 0.59 3.49
Separator variables 0 92 37.21 29.00 1,414 0 None 22.35 0.60 3.37
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 0.17 0.44 0.31 0.32 12.39 0.00 -47.65 0.06 0.19 3.43
Degree 8 18 12.50 12.50 500 MAX VALUE 100.24 2.45 0.20 2.16
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 66.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.87 0.86 34.80 0.00 -5.76 0.08 0.10 3.16
Degree 8 36 25.95 30.00 1,038 MAX VALUE 126.49 9.12 0.35 2.62
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.62%
MCB compute time (ms): 5,109
MCB cycles: 3,039
Triangles: 11,765
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.56 0.50 0.50 125.72 0.00 -171.96 0.02 0.03 4.50
Degree 16 32 23.96 24.00 5,990 MAX VALUE 791.62 3.35 0.14 2.59
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.07 3.00 9,318 MAX VALUE 3,396.51 0.25 0.08 0.24
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 559
MCB cycles: 212
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 319.08 0.86 0.23 1.21
Eccentricity 6 9 7.13 7.00 1,783 MAX VALUE 490.40 0.55 0.08 0.83
MCB cycle size 4 10 6.62 7.00 1,403 MAX VALUE 397.62 1.06 0.16 1.43
Triangulated dual graph
Density: 54.86%
Triangles: 732,052
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.81 212.68 0.00 -41.40 0.08 0.09 4.82
Degree 16 192 136.60 176.00 34,150 MAX VALUE 1,190.38 57.42 0.42 3.76
Eccentricity 2 3 2.17 2.00 542 MAX VALUE 190.32 0.37 0.17 0.45
Triangulated minimal dual graph
Density: 10.80%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.81 0.78 203.31 0.00 -55.56 0.14 0.18 3.50
Degree 2 86 26.90 7.00 6,726 MAX VALUE 614.38 31.88 1.18 3.13
Eccentricity 3 5 3.80 4.00 950 MAX VALUE 331.29 0.52 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 424
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 18 3.45 2.00 1,000 MAX VALUE 273.52 3.73 1.08 0.70
Eccentricity 5 7 5.91 6.00 1,713 MAX VALUE 514.63 0.31 0.05 0.37
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13