Instance: rand-2-40-16-250-350-1_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:03
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 10.38 10.00 83,038 MAX VALUE 18,572.10 1.92 0.18 2.07
Relational linkage 0.25 0.62 0.45 0.44 288.44 0.00 -519.42 0.07 0.17 1.58
Tightness 0.29 0.43 0.35 0.35 87.82 0.00 -262.46 0.03 0.09 3.35
Tuples 147 183 166.08 166.00 41,519 MAX VALUE 1,277.84 7.70 0.05 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 19 12.50 12.50 500 MAX VALUE 100.03 2.74 0.22 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: 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 13 99 49.82 42.00 847 1.98e+27 62.85 29.97 0.60 2.64
Cluster variables 8 24 15.53 15.00 264 5.38e+19 45.43 5.71 0.37 2.31
Separator constraints 0 89 35.12 24.00 597 0 None 28.79 0.82 2.67
Separator variables 0 23 13.18 13.00 224 0 None 6.24 0.47 2.43
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 72 779 261.58 205.50 9,940 MAX VALUE 203.84 177.15 0.68 3.56
Cluster variables 17 121 42.55 31.00 1,617 MAX VALUE 136.03 27.86 0.65 3.28
Separator constraints 0 435 181.97 154.50 6,915 0 None 102.67 0.56 3.60
Separator variables 0 92 35.97 28.50 1,367 0 None 21.18 0.59 3.39
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 0.21 0.53 0.32 0.31 12.74 0.00 -46.52 0.06 0.20 3.35
Degree 7 19 12.50 12.50 500 MAX VALUE 100.03 2.74 0.22 2.37
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 64.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.85 34.49 0.00 -6.14 0.09 0.10 3.09
Degree 7 36 25.00 29.50 1,000 MAX VALUE 124.66 9.24 0.37 2.77
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.72%
MCB compute time (ms): 2,635
MCB cycles: 3,385
Triangles: 12,124
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 0.60 0.51 0.50 126.50 0.00 -170.48 0.02 0.04 4.70
Degree 16 34 24.20 24.00 6,050 MAX VALUE 793.58 3.71 0.15 2.70
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.14 3.00 10,626 MAX VALUE 3,854.30 0.35 0.11 0.40
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 275
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 1.00 0.01 0.00 2.67 0.00 None 0.07 7.02 0.21
Degree 2 6 3.68 4.00 920 MAX VALUE 319.52 0.84 0.23 1.17
Eccentricity 6 8 7.18 7.00 1,796 MAX VALUE 492.15 0.58 0.08 0.86
MCB cycle size 3 9 6.71 7.00 1,416 MAX VALUE 398.35 1.12 0.17 1.50
Triangulated dual graph
Density: 51.13%
Triangles: 632,757
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.84 0.84 210.46 0.00 -44.29 0.08 0.10 4.84
Degree 16 198 127.30 148.00 31,826 MAX VALUE 1,170.29 56.57 0.44 4.09
Eccentricity 2 3 2.16 2.00 540 MAX VALUE 189.50 0.37 0.17 0.44
Triangulated minimal dual graph
Density: 11.35%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.82 0.78 204.57 0.00 -54.14 0.15 0.18 3.47
Degree 2 87 28.26 7.00 7,064 MAX VALUE 621.46 33.01 1.17 3.15
Eccentricity 3 5 3.76 4.00 940 MAX VALUE 328.47 0.54 0.14 0.79
Incidence graph
Density: 1.19%
MCB compute time (ms): 174
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 273.31 3.76 1.09 0.73
Eccentricity 5 7 5.92 6.00 1,716 MAX VALUE 515.12 0.32 0.05 0.39
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11