Instance: rand-2-40-16-250-350-40_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:56
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 10.38 10.00 83,074 MAX VALUE 18,578.70 1.90 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 288.81 0.00 -518.36 0.07 0.16 1.57
Tightness 0.27 0.43 0.35 0.35 87.75 0.00 -262.53 0.03 0.08 3.29
Tuples 147 188 166.15 166.00 41,537 MAX VALUE 1,278.00 7.01 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 6 18 12.50 12.50 500 MAX VALUE 99.96 2.77 0.22 2.29
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: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 10 109 48.69 45.00 779 2.47e+25 58.47 31.11 0.64 2.69
Cluster variables 7 25 15.12 15.00 242 2.25e+18 42.26 5.73 0.38 2.06
Separator constraints 0 96 33.06 19.50 529 0 None 27.78 0.84 2.60
Separator variables 0 23 12.62 10.50 202 0 None 6.08 0.48 2.06
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 71 920 272.53 216.50 10,356 MAX VALUE 204.68 198.26 0.73 3.56
Cluster variables 16 133 43.29 31.50 1,645 MAX VALUE 136.35 29.28 0.68 3.30
Separator constraints 0 485 192.82 172.00 7,327 0 None 115.71 0.60 3.56
Separator variables 0 99 36.71 28.50 1,395 0 None 22.18 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 0.24 0.44 0.33 0.33 13.15 0.00 -44.94 0.05 0.15 3.38
Degree 6 18 12.50 12.50 500 MAX VALUE 99.96 2.77 0.22 2.29
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 64.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.86 34.58 0.00 -6.02 0.09 0.10 3.17
Degree 6 36 25.10 30.00 1,004 MAX VALUE 124.72 9.26 0.37 2.64
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.73%
MCB compute time (ms): 3,894
MCB cycles: 2,910
Triangles: 12,148
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 0.63 0.51 0.50 126.80 0.00 -169.90 0.02 0.04 4.50
Degree 15 32 24.23 24.00 6,058 MAX VALUE 794.04 3.59 0.15 2.65
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.02 3.00 8,788 MAX VALUE 3,213.65 0.14 0.05 0.10
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 337
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 319.30 0.84 0.23 1.21
Eccentricity 6 9 7.20 7.00 1,800 MAX VALUE 492.65 0.60 0.08 0.91
MCB cycle size 4 9 6.66 7.00 1,405 MAX VALUE 396.76 1.13 0.17 1.52
Triangulated dual graph
Density: 54.03%
Triangles: 715,010
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.83 212.58 0.00 -41.51 0.08 0.09 4.81
Degree 15 198 134.54 159.50 33,634 MAX VALUE 1,185.07 57.88 0.43 4.04
Eccentricity 2 3 2.19 2.00 548 MAX VALUE 192.75 0.39 0.18 0.49
Triangulated minimal dual graph
Density: 10.57%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.80 0.75 200.72 0.00 -59.17 0.15 0.19 3.48
Degree 2 87 26.33 7.00 6,582 MAX VALUE 614.55 30.78 1.17 3.27
Eccentricity 3 5 3.81 4.00 952 MAX VALUE 331.47 0.56 0.15 0.84
Incidence graph
Density: 1.19%
MCB compute time (ms): 232
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 273.25 3.76 1.09 0.72
Eccentricity 5 7 5.90 6.00 1,711 MAX VALUE 514.27 0.32 0.05 0.38
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13