Instance: rand-2-40-16-250-350-3_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:01
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 10.36 10.00 82,868 MAX VALUE 18,554.30 1.92 0.18 2.07
Relational linkage 0.19 0.69 0.45 0.44 285.94 0.00 -526.21 0.08 0.17 1.64
Tightness 0.27 0.43 0.35 0.35 88.15 0.00 -261.49 0.03 0.08 3.33
Tuples 146 186 165.74 166.00 41,434 MAX VALUE 1,277.34 7.52 0.05 3.33
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 18 12.50 12.50 500 MAX VALUE 99.76 2.97 0.24 2.38
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: 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 9 105 45.56 37.50 729 7.61e+24 57.29 29.10 0.64 2.69
Cluster variables 7 24 14.88 14.00 238 1.82e+18 42.04 5.43 0.37 2.39
Separator constraints 0 73 29.94 24.50 479 0 None 24.37 0.81 2.69
Separator variables 0 21 12.38 12.00 198 0 None 5.75 0.46 2.31
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 52 863 266.71 209.50 10,135 MAX VALUE 203.57 190.25 0.71 3.60
Cluster variables 14 132 42.84 30.50 1,628 MAX VALUE 135.87 28.82 0.67 3.46
Separator constraints 0 447 186.40 174.50 7,083 0 None 110.50 0.59 3.56
Separator variables 0 95 36.26 28.00 1,378 0 None 21.91 0.60 3.39
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 0.18 0.46 0.31 0.29 12.53 0.00 -47.33 0.07 0.21 3.45
Degree 6 18 12.50 12.50 500 MAX VALUE 99.76 2.97 0.24 2.38
Eccentricity 2 3 2.15 2.00 86 1.25e+13 30.16 0.36 0.17 0.42
Triangulated primal graph
Density: 63.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.86 0.86 34.48 0.00 -6.20 0.10 0.11 3.27
Degree 6 36 24.80 28.50 992 MAX VALUE 124.19 9.28 0.37 2.84
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.81%
MCB compute time (ms): 1,865
MCB cycles: 3,539
Triangles: 12,397
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 0.51 0.50 126.98 0.00 -169.61 0.02 0.05 4.54
Degree 13 33 24.42 25.00 6,104 MAX VALUE 795.42 3.88 0.16 2.73
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.12 3.00 11,045 MAX VALUE 4,010.73 0.33 0.11 0.37
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 333
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 1.33 0.00 None 0.04 7.20 0.14
Degree 2 6 3.68 3.00 920 MAX VALUE 319.29 0.86 0.23 1.16
Eccentricity 6 9 7.23 7.00 1,808 MAX VALUE 493.69 0.63 0.09 0.95
MCB cycle size 3 9 6.57 7.00 1,386 MAX VALUE 393.03 1.23 0.19 1.60
Triangulated dual graph
Density: 52.76%
Triangles: 680,452
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.82 211.64 0.00 -42.67 0.08 0.09 4.87
Degree 13 194 131.38 166.00 32,846 MAX VALUE 1,177.88 57.69 0.44 4.14
Eccentricity 2 3 2.16 2.00 540 MAX VALUE 189.50 0.37 0.17 0.44
Triangulated minimal dual graph
Density: 10.88%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.81 0.76 201.57 0.00 -58.03 0.15 0.18 3.54
Degree 2 86 27.10 8.00 6,774 MAX VALUE 622.19 31.43 1.16 3.20
Eccentricity 3 5 3.77 4.00 943 MAX VALUE 329.27 0.54 0.14 0.79
Incidence graph
Density: 1.19%
MCB compute time (ms): 222
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 273.05 3.79 1.10 0.73
Eccentricity 5 7 5.89 6.00 1,708 MAX VALUE 513.72 0.33 0.06 0.40
MCB cycle size 6 8 6.09 6.00 1,284 MAX VALUE 380.65 0.40 0.07 0.18