Instance: rand-2-40-16-250-350-14_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:58
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 10.44 11.00 83,522 MAX VALUE 18,623.10 1.90 0.18 2.06
Relational linkage 0.19 0.62 0.46 0.44 293.31 0.00 -508.07 0.07 0.16 1.57
Tightness 0.23 0.43 0.35 0.35 86.87 0.00 -265.33 0.03 0.09 3.41
Tuples 145 197 167.04 167.00 41,761 MAX VALUE 1,279.26 8.16 0.05 3.41
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 18 12.50 12.00 500 MAX VALUE 99.88 2.79 0.22 2.35
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: 15
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 8 113 47.20 32.00 708 1.94e+23 53.62 33.60 0.71 2.62
Cluster variables 6 26 15.07 13.00 226 1.27e+17 39.38 6.17 0.41 2.62
Separator constraints 0 95 30.53 20.00 458 0 None 28.98 0.95 2.62
Separator variables 0 24 12.40 12.00 186 0 None 6.36 0.51 2.62
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 56 927 275.92 196.50 10,485 MAX VALUE 204.54 205.68 0.75 3.56
Cluster variables 14 139 43.71 30.50 1,661 MAX VALUE 136.47 29.94 0.69 3.37
Separator constraints 0 509 196.16 163.00 7,454 0 None 121.01 0.62 3.56
Separator variables 0 96 37.13 29.00 1,411 0 None 22.75 0.61 3.40
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 0.40 0.30 0.31 12.20 0.00 -48.05 0.05 0.16 3.45
Degree 5 18 12.50 12.00 500 MAX VALUE 99.88 2.79 0.22 2.35
Eccentricity 2 3 2.38 2.00 95 4.81e+14 33.81 0.48 0.20 0.66
Triangulated primal graph
Density: 65.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.87 0.85 34.85 0.00 -5.67 0.08 0.09 3.16
Degree 5 36 25.55 30.50 1,022 MAX VALUE 125.34 9.31 0.36 2.48
Eccentricity 2 3 2.20 2.00 88 2.82e+13 30.97 0.40 0.18 0.50
Dual graph
Density: 9.74%
MCB compute time (ms): 2,194
MCB cycles: 4,070
Triangles: 12,131
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 0.64 0.50 0.50 126.11 0.00 -171.28 0.02 0.04 4.54
Degree 13 33 24.25 24.00 6,062 MAX VALUE 793.83 3.80 0.16 2.72
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.22 3.00 13,097 MAX VALUE 4,725.95 0.42 0.13 0.53
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 357
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 319.67 0.82 0.22 1.18
Eccentricity 6 9 7.15 7.00 1,788 MAX VALUE 491.13 0.54 0.08 0.81
MCB cycle size 4 10 6.84 7.00 1,443 MAX VALUE 402.72 1.10 0.16 1.50
Triangulated dual graph
Density: 55.19%
Triangles: 746,435
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.76 1.00 0.85 0.82 213.34 0.00 -40.56 0.07 0.09 4.86
Degree 13 190 137.42 180.00 34,356 MAX VALUE 1,190.82 58.15 0.42 3.58
Eccentricity 2 3 2.17 2.00 542 MAX VALUE 190.32 0.37 0.17 0.45
Triangulated minimal dual graph
Density: 11.28%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.77 203.98 0.00 -54.72 0.14 0.18 3.45
Degree 2 88 28.08 7.00 7,020 MAX VALUE 622.08 32.77 1.17 3.22
Eccentricity 3 5 3.72 4.00 929 MAX VALUE 325.63 0.52 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 242
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 273.17 3.77 1.09 0.73
Eccentricity 5 7 5.99 6.00 1,736 MAX VALUE 518.29 0.40 0.07 0.55
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13