Instance: rand-2-40-16-250-350-17_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:02
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 10.43 10.00 83,406 MAX VALUE 18,610.20 1.90 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 290.56 0.00 -515.36 0.08 0.17 1.61
Tightness 0.26 0.43 0.35 0.34 87.10 0.00 -264.50 0.03 0.08 3.36
Tuples 147 190 166.81 168.00 41,703 MAX VALUE 1,278.96 7.52 0.05 3.36
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 99.96 2.79 0.22 2.32
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: 7
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 12 115 47.53 42.00 713 6.03e+23 54.76 30.64 0.64 2.62
Cluster variables 8 26 15.07 13.00 226 1.75e+17 39.71 5.51 0.37 2.40
Separator constraints 0 86 30.87 22.00 463 0 None 25.00 0.81 2.62
Separator variables 0 23 12.40 12.00 186 0 None 5.72 0.46 2.40
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 50 763 265.05 203.50 10,072 MAX VALUE 203.57 187.14 0.71 3.64
Cluster variables 14 123 42.79 30.50 1,626 MAX VALUE 135.95 28.53 0.67 3.33
Separator constraints 0 439 185.29 158.50 7,041 0 None 109.12 0.59 3.64
Separator variables 0 93 36.21 28.50 1,376 0 None 21.84 0.60 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 0.16 0.45 0.32 0.33 12.95 0.00 -45.93 0.06 0.19 3.47
Degree 7 18 12.50 13.00 500 MAX VALUE 99.96 2.79 0.22 2.32
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 65.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.87 0.84 34.67 0.00 -5.90 0.08 0.10 3.16
Degree 7 35 25.55 31.00 1,022 MAX VALUE 125.75 9.18 0.36 2.62
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.74%
MCB compute time (ms): 2,746
MCB cycles: 3,631
Triangles: 12,178
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 0.58 0.51 0.50 126.45 0.00 -170.55 0.02 0.04 4.61
Degree 13 33 24.25 24.00 6,062 MAX VALUE 793.79 3.83 0.16 2.71
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.16 3.00 11,471 MAX VALUE 4,155.34 0.37 0.12 0.44
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 449
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.33 0.00 None 0.01 9.70 0.08
Degree 2 6 3.68 4.00 920 MAX VALUE 319.54 0.83 0.22 1.18
Eccentricity 6 9 7.19 7.00 1,797 MAX VALUE 492.15 0.63 0.09 0.95
MCB cycle size 3 9 6.73 7.00 1,419 MAX VALUE 398.44 1.20 0.18 1.59
Triangulated dual graph
Density: 51.91%
Triangles: 653,380
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.84 0.84 210.93 0.00 -43.68 0.08 0.10 4.90
Degree 13 200 129.25 142.00 32,312 MAX VALUE 1,174.10 56.92 0.44 4.30
Eccentricity 2 3 2.21 2.00 553 MAX VALUE 194.78 0.41 0.18 0.52
Triangulated minimal dual graph
Density: 11.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.81 0.77 203.43 0.00 -55.51 0.14 0.18 3.48
Degree 2 88 27.44 7.00 6,860 MAX VALUE 619.12 32.17 1.17 3.20
Eccentricity 3 5 3.74 4.00 934 MAX VALUE 327.07 0.51 0.14 0.74
Incidence graph
Density: 1.19%
MCB compute time (ms): 334
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 273.25 3.77 1.09 0.72
Eccentricity 5 7 5.91 6.00 1,713 MAX VALUE 514.58 0.33 0.06 0.41
MCB cycle size 6 8 6.08 6.00 1,282 MAX VALUE 380.36 0.38 0.06 0.16