Instance: rand-2-40-16-250-350-31_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:50
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 4 16 10.40 10.00 83,186 MAX VALUE 18,590.90 1.89 0.18 2.05
Relational linkage 0.25 0.69 0.46 0.44 291.31 0.00 -512.51 0.07 0.16 1.58
Tightness 0.27 0.43 0.35 0.35 87.53 0.00 -263.29 0.03 0.08 3.37
Tuples 146 188 166.37 167.00 41,593 MAX VALUE 1,278.30 7.59 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 18 12.50 13.00 500 MAX VALUE 99.73 2.99 0.24 2.37
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: 17
Number of leaves: 9
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 11 108 44.24 31.00 752 1.46e+26 60.24 31.54 0.71 2.59
Cluster variables 7 24 13.82 12.00 235 6.63e+18 43.34 5.52 0.40 2.31
Separator constraints 0 92 29.53 20.00 502 0 None 27.84 0.94 2.83
Separator variables 0 22 11.47 10.00 195 0 None 5.68 0.50 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 69 825 268.26 213.00 10,194 MAX VALUE 204.37 189.70 0.71 3.64
Cluster variables 16 126 42.92 31.00 1,631 MAX VALUE 136.05 28.92 0.67 3.30
Separator constraints 0 471 187.90 167.00 7,140 0 None 111.91 0.60 3.56
Separator variables 0 97 36.34 28.50 1,381 0 None 22.14 0.61 3.32
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 0.22 0.50 0.33 0.32 13.38 0.00 -44.52 0.07 0.20 3.35
Degree 6 18 12.50 13.00 500 MAX VALUE 99.73 2.99 0.24 2.37
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 60.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.86 0.83 34.35 0.00 -6.36 0.10 0.12 3.06
Degree 6 35 23.55 29.00 942 MAX VALUE 121.44 9.54 0.41 2.71
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.81%
MCB compute time (ms): 1,814
MCB cycles: 3,444
Triangles: 12,401
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 0.65 0.51 0.50 127.74 0.00 -168.19 0.03 0.05 4.59
Degree 15 33 24.43 24.00 6,108 MAX VALUE 796.20 3.58 0.15 2.67
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.10 3.00 10,672 MAX VALUE 3,881.43 0.30 0.10 0.32
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 284
MCB cycles: 214
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 319.93 0.81 0.22 1.14
Eccentricity 6 9 7.18 7.00 1,796 MAX VALUE 492.22 0.56 0.08 0.83
MCB cycle size 4 10 6.76 7.00 1,446 MAX VALUE 404.68 1.27 0.19 1.63
Triangulated dual graph
Density: 52.58%
Triangles: 677,350
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.85 0.84 211.99 0.00 -42.29 0.08 0.09 4.94
Degree 15 199 130.92 151.00 32,730 MAX VALUE 1,176.69 57.70 0.44 4.14
Eccentricity 2 3 2.19 2.00 547 MAX VALUE 192.34 0.39 0.18 0.48
Triangulated minimal dual graph
Density: 11.39%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.76 203.59 0.00 -55.23 0.14 0.18 3.49
Degree 2 90 28.37 9.00 7,092 MAX VALUE 629.88 32.67 1.15 3.24
Eccentricity 3 5 3.68 4.00 919 MAX VALUE 322.95 0.51 0.14 0.73
Incidence graph
Density: 1.19%
MCB compute time (ms): 196
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 273.01 3.79 1.10 0.73
Eccentricity 5 7 5.90 6.00 1,712 MAX VALUE 514.42 0.33 0.06 0.40
MCB cycle size 6 8 6.02 6.00 1,270 MAX VALUE 378.64 0.19 0.03 0.05