Instance: rand-2-40-16-250-350-51_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:54
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 10.41 10.00 83,302 MAX VALUE 18,602.30 1.89 0.18 2.05
Relational linkage 0.25 0.62 0.45 0.44 288.88 0.00 -518.03 0.07 0.16 1.57
Tightness 0.27 0.46 0.35 0.35 87.30 0.00 -263.75 0.03 0.08 3.21
Tuples 139 187 166.60 167.00 41,651 MAX VALUE 1,278.69 6.87 0.04 3.21
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 20 12.50 12.00 500 MAX VALUE 100.10 2.68 0.21 2.31
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: 18
Number of leaves: 6
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 15 89 55.94 49.00 1,007 1.83e+30 69.68 27.64 0.49 2.51
Cluster variables 8 23 16.50 15.00 297 2.99e+21 49.45 5.27 0.32 2.20
Separator constraints 0 80 42.06 35.00 757 0 None 28.19 0.67 2.74
Separator variables 0 22 14.28 13.50 257 0 None 6.11 0.43 2.32
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 60 898 269.34 201.50 10,235 MAX VALUE 204.09 197.95 0.73 3.56
Cluster variables 15 135 43.03 30.00 1,635 MAX VALUE 136.14 29.14 0.68 3.33
Separator constraints 0 459 189.90 160.50 7,216 0 None 117.11 0.62 3.60
Separator variables 0 96 36.45 27.50 1,385 0 None 22.12 0.61 3.38
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 0.23 0.50 0.35 0.35 13.91 0.00 -42.75 0.05 0.16 3.43
Degree 7 20 12.50 12.00 500 MAX VALUE 100.10 2.68 0.21 2.31
Eccentricity 2 3 2.33 2.00 93 2.14e+14 33.00 0.47 0.20 0.63
Triangulated primal graph
Density: 65.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.84 34.31 0.00 -6.32 0.08 0.10 3.39
Degree 7 36 25.50 29.50 1,020 MAX VALUE 126.12 8.74 0.34 2.80
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.70%
MCB compute time (ms): 1,226
MCB cycles: 4,987
Triangles: 12,117
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 0.59 0.51 0.50 126.37 0.00 -170.70 0.02 0.03 4.41
Degree 14 36 24.15 24.00 6,038 MAX VALUE 792.77 3.88 0.16 2.74
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.37 3.00 16,816 MAX VALUE 6,011.14 0.49 0.15 0.68
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 374
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.10 0.00 None 0.03 7.46 0.15
Degree 2 6 3.68 4.00 920 MAX VALUE 319.25 0.84 0.23 1.21
Eccentricity 6 9 7.17 7.00 1,793 MAX VALUE 491.75 0.57 0.08 0.86
MCB cycle size 3 10 6.68 7.00 1,410 MAX VALUE 397.00 1.20 0.18 1.58
Triangulated dual graph
Density: 53.49%
Triangles: 706,642
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.83 212.78 0.00 -41.20 0.07 0.09 4.86
Degree 14 193 133.20 167.00 33,300 MAX VALUE 1,180.80 58.46 0.44 4.03
Eccentricity 2 3 2.22 2.00 555 MAX VALUE 195.59 0.41 0.19 0.53
Triangulated minimal dual graph
Density: 10.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.80 0.77 201.18 0.00 -58.21 0.14 0.18 3.62
Degree 2 87 27.01 7.00 6,752 MAX VALUE 619.18 31.55 1.17 3.31
Eccentricity 3 5 3.79 4.00 948 MAX VALUE 330.71 0.53 0.14 0.78
Incidence graph
Density: 1.19%
MCB compute time (ms): 266
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 20 3.45 2.00 1,000 MAX VALUE 273.38 3.76 1.09 0.72
Eccentricity 5 7 5.92 6.00 1,718 MAX VALUE 515.46 0.32 0.05 0.40
MCB cycle size 6 8 6.01 6.00 1,268 MAX VALUE 378.35 0.14 0.02 0.03