Instance: rand-2-40-16-250-350-69_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:09
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 10.39 10.00 83,122 MAX VALUE 18,583.10 1.90 0.18 2.06
Relational linkage 0.19 0.69 0.45 0.44 291.00 0.00 -514.23 0.08 0.17 1.61
Tightness 0.27 0.44 0.35 0.35 87.65 0.00 -262.92 0.03 0.08 3.35
Tuples 143 186 166.24 167.00 41,561 MAX VALUE 1,278.10 7.58 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 21 12.50 12.00 500 MAX VALUE 99.56 3.40 0.27 2.39
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: 10
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 17 104 43.62 29.00 698 8.23e+24 57.37 28.33 0.65 2.60
Cluster variables 8 25 14.38 13.00 230 1.09e+18 41.53 5.51 0.38 2.31
Separator constraints 0 87 28.00 17.50 448 0 None 24.05 0.86 2.69
Separator variables 0 23 11.88 11.00 190 0 None 5.68 0.48 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 59 969 279.16 205.50 10,608 MAX VALUE 203.60 225.06 0.81 3.56
Cluster variables 15 137 43.26 31.50 1,644 MAX VALUE 135.78 30.41 0.70 3.42
Separator constraints 0 570 197.42 167.50 7,502 0 None 136.82 0.69 3.56
Separator variables 0 104 36.68 29.00 1,394 0 None 23.26 0.63 3.35
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 0.19 0.48 0.34 0.33 13.51 0.00 -44.45 0.07 0.22 3.41
Degree 7 21 12.50 12.00 500 MAX VALUE 99.56 3.40 0.27 2.39
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 62.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.84 34.47 0.00 -6.18 0.09 0.11 2.96
Degree 7 35 24.50 30.00 980 MAX VALUE 123.50 9.46 0.39 2.61
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.98%
MCB compute time (ms): 1,300
MCB cycles: 4,025
Triangles: 13,197
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 0.62 0.51 0.50 128.21 0.00 -167.27 0.03 0.05 4.77
Degree 14 38 24.85 24.00 6,212 MAX VALUE 798.25 4.90 0.20 2.95
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.21 3.00 12,930 MAX VALUE 4,667.56 0.41 0.13 0.52
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 314
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.30 0.00 None 0.01 9.07 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 319.67 0.81 0.22 1.16
Eccentricity 6 8 7.11 7.00 1,777 MAX VALUE 489.51 0.57 0.08 0.85
MCB cycle size 3 9 6.84 7.00 1,444 MAX VALUE 402.71 1.10 0.16 1.44
Triangulated dual graph
Density: 55.13%
Triangles: 755,405
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.86 0.84 214.17 0.00 -39.49 0.07 0.08 4.92
Degree 14 201 137.28 167.50 34,320 MAX VALUE 1,188.07 59.27 0.43 4.16
Eccentricity 2 3 2.16 2.00 539 MAX VALUE 189.10 0.36 0.17 0.43
Triangulated minimal dual graph
Density: 11.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.77 203.45 0.00 -55.54 0.15 0.18 3.53
Degree 2 88 27.85 7.00 6,962 MAX VALUE 622.08 32.43 1.16 3.22
Eccentricity 3 5 3.79 4.00 948 MAX VALUE 330.58 0.54 0.14 0.80
Incidence graph
Density: 1.19%
MCB compute time (ms): 209
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 21 3.45 2.00 1,000 MAX VALUE 272.85 3.83 1.11 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