Instance: rand-2-40-40-135-650-1_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:32
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 2 26 13.93 14.00 150,460 MAX VALUE 28,180.20 3.01 0.22 2.52
Relational linkage 0.05 0.47 0.25 0.25 404.25 0.00 -2,234.13 0.05 0.19 2.08
Tightness 0.62 0.68 0.65 0.65 87.98 0.00 -57.82 0.01 0.02 4.06
Tuples 508 600 557.26 556.00 75,230 MAX VALUE 853.52 19.88 0.04 4.06
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 6.75 6.00 270 1.72e+32 74.23 2.13 0.32 2.01
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 11
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 2 33 12.67 9.00 304 5.81e+23 54.72 9.33 0.74 2.50
Cluster variables 3 17 9.54 8.00 229 2.60e+22 51.61 4.28 0.45 2.28
Separator constraints 0 29 7.04 3.00 169 0 None 8.73 1.24 2.42
Separator variables 0 16 7.88 6.00 189 0 None 4.31 0.55 2.36
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 13 166 61.05 52.00 2,320 MAX VALUE 148.06 39.57 0.65 3.48
Cluster variables 7 56 20.26 16.50 770 MAX VALUE 108.33 12.36 0.61 3.07
Separator constraints 0 82 38.24 30.00 1,453 0 None 24.34 0.64 3.35
Separator variables 0 41 16.71 15.00 635 0 None 9.43 0.56 2.96
Primal graph
Density: 17.31%
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 0.33 0.12 0.10 4.81 0.00 None 0.09 0.75 2.66
Degree 2 12 6.75 6.00 270 1.72e+32 74.23 2.13 0.32 2.01
Eccentricity 3 4 3.20 3.00 128 1.21e+20 46.25 0.40 0.12 0.50
Triangulated primal graph
Density: 41.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.81 0.77 32.60 0.00 -8.74 0.14 0.17 2.95
Degree 2 30 16.25 18.50 650 MAX VALUE 102.57 8.98 0.55 2.84
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.59%
MCB compute time (ms): 458
MCB cycles: 787
Triangles: 1,820
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.82 0.50 0.49 66.88 0.00 -95.37 0.05 0.10 3.64
Degree 6 21 12.84 12.00 1,734 MAX VALUE 340.52 3.14 0.24 2.49
Eccentricity 3 4 3.52 4.00 475 MAX VALUE 168.45 0.50 0.14 0.69
MCB cycle size 3 5 3.15 3.00 2,478 MAX VALUE 897.94 0.37 0.12 0.44
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 84
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 162.85 0.68 0.20 1.00
Eccentricity 6 8 6.70 7.00 905 MAX VALUE 256.41 0.55 0.08 0.80
MCB cycle size 4 9 6.80 7.00 653 MAX VALUE 182.27 1.22 0.18 1.51
Triangulated dual graph
Density: 40.25%
Triangles: 61,491
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.82 0.80 110.40 0.00 -28.21 0.10 0.13 4.42
Degree 6 93 53.94 63.00 7,282 MAX VALUE 508.29 28.69 0.53 3.96
Eccentricity 2 3 2.50 2.00 337 MAX VALUE 120.74 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.71 105.47 0.00 -36.35 0.17 0.21 3.09
Degree 2 48 16.40 7.00 2,214 MAX VALUE 298.87 16.92 1.03 2.88
Eccentricity 3 5 3.76 4.00 507 MAX VALUE 177.20 0.54 0.14 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 62
MCB cycles: 96
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 12 3.09 2.00 540 MAX VALUE 167.80 2.24 0.73 0.96
Eccentricity 6 9 7.38 7.00 1,291 MAX VALUE 348.95 0.68 0.09 1.03
MCB cycle size 6 8 7.21 8.00 692 MAX VALUE 188.69 0.98 0.14 0.67