Instance: rand-2-40-16-250-350-29_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 3 16 10.42 10.00 83,328 MAX VALUE 18,602.40 1.90 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 289.50 0.00 -517.66 0.08 0.17 1.59
Tightness 0.28 0.45 0.35 0.35 87.25 0.00 -264.23 0.03 0.09 3.43
Tuples 140 185 166.66 166.00 41,664 MAX VALUE 1,278.68 8.19 0.05 3.43
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 18 12.50 13.00 500 MAX VALUE 100.01 2.73 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: 7
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 13 101 50.12 44.00 802 7.07e+25 59.52 28.74 0.57 2.77
Cluster variables 8 25 16.00 15.00 256 6.02e+18 43.24 5.77 0.36 2.43
Separator constraints 0 83 34.50 29.50 552 0 None 26.46 0.77 2.69
Separator variables 0 23 13.50 13.00 216 0 None 6.32 0.47 2.43
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 60 867 266.05 212.00 10,110 MAX VALUE 203.80 189.24 0.71 3.53
Cluster variables 15 133 42.89 30.50 1,630 MAX VALUE 136.06 28.71 0.67 3.32
Separator constraints 0 473 186.47 168.00 7,086 0 None 111.26 0.60 3.60
Separator variables 0 94 36.32 28.00 1,380 0 None 21.82 0.60 3.42
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 0.43 0.33 0.33 13.11 0.00 -44.95 0.04 0.12 3.36
Degree 7 18 12.50 13.00 500 MAX VALUE 100.01 2.73 0.22 2.29
Eccentricity 2 3 2.25 2.00 90 6.34e+13 31.78 0.43 0.19 0.56
Triangulated primal graph
Density: 66.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.87 0.84 34.64 0.00 -5.93 0.08 0.09 3.28
Degree 7 36 25.80 30.00 1,032 MAX VALUE 126.26 9.06 0.35 2.73
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.72%
MCB compute time (ms): 3,110
MCB cycles: 3,334
Triangles: 12,097
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 0.61 0.51 0.50 126.33 0.00 -170.80 0.02 0.04 4.58
Degree 14 33 24.19 24.00 6,048 MAX VALUE 793.35 3.72 0.15 2.68
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.11 3.00 10,365 MAX VALUE 3,767.14 0.31 0.10 0.35
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 455
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 320.71 0.74 0.20 1.08
Eccentricity 6 9 7.41 7.00 1,853 MAX VALUE 499.98 0.60 0.08 0.88
MCB cycle size 4 9 6.71 7.00 1,415 MAX VALUE 397.73 1.22 0.18 1.58
Triangulated dual graph
Density: 52.66%
Triangles: 678,369
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.82 211.71 0.00 -42.62 0.08 0.09 4.90
Degree 14 193 131.13 168.00 32,782 MAX VALUE 1,177.23 57.73 0.44 3.93
Eccentricity 2 3 2.18 2.00 544 MAX VALUE 191.13 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 11.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.82 0.78 204.08 0.00 -54.44 0.14 0.17 3.53
Degree 2 88 28.85 8.00 7,212 MAX VALUE 633.43 33.23 1.15 3.17
Eccentricity 3 5 3.73 4.00 933 MAX VALUE 326.65 0.53 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 342
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 273.30 3.76 1.09 0.72
Eccentricity 5 6 5.90 6.00 1,710 MAX VALUE 514.14 0.30 0.05 0.33
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11