Instance: rand-2-40-11-414-200-4_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:45
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 4 11 8.82 9.00 80,308 MAX VALUE 19,712.90 1.33 0.15 1.68
Relational linkage 0.36 0.82 0.56 0.55 244.73 0.00 -262.27 0.07 0.13 1.21
Tightness 0.10 0.34 0.20 0.20 82.15 0.00 -677.56 0.04 0.19 2.92
Tuples 80 109 96.99 97.00 40,154 MAX VALUE 1,893.42 4.62 0.05 2.92
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 16 27 20.70 20.00 828 MAX VALUE 120.82 2.89 0.14 2.32
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 10
Number of leaves: 5
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 78 262 161.90 145.50 1,619 4.44e+21 49.84 71.25 0.44 2.30
Cluster variables 17 31 23.50 22.50 235 3.85e+13 31.28 5.63 0.24 2.03
Separator constraints 0 246 120.50 97.00 1,205 0 None 75.16 0.62 2.30
Separator variables 0 30 19.50 18.50 195 0 None 8.22 0.42 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 260 2,875 832.68 579.50 31,642 MAX VALUE 246.69 657.14 0.79 3.56
Cluster variables 32 242 76.45 52.00 2,905 MAX VALUE 157.60 54.35 0.71 3.37
Separator constraints 0 1,738 613.66 520.50 23,319 0 None 385.63 0.63 3.56
Separator variables 0 190 65.55 47.50 2,491 0 None 41.41 0.63 3.37
Primal graph
Density: 53.08%
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 0.53 0.52 21.11 0.00 -25.62 0.03 0.05 3.58
Degree 16 27 20.70 20.00 828 MAX VALUE 120.82 2.89 0.14 2.32
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.92 36.76 0.03 -3.42 0.04 0.05 3.13
Degree 16 39 33.00 35.00 1,320 MAX VALUE 138.78 6.54 0.20 2.26
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.74%
MCB compute time (ms): 18,200
MCB cycles: 9,450
Triangles: 55,646
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.54 0.51 0.50 209.51 0.00 -282.02 0.01 0.01 5.00
Degree 31 50 40.21 40.00 16,646 MAX VALUE 1,527.24 4.04 0.10 2.79
Eccentricity 2 3 2.99 3.00 1,239 MAX VALUE 453.61 0.08 0.03 0.04
MCB cycle size 3 4 3.04 3.00 28,688 MAX VALUE 10,479.10 0.19 0.06 0.15
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,616
MCB cycles: 375
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 3.81 4.00 1,576 MAX VALUE 543.09 0.87 0.23 1.20
Eccentricity 7 11 8.55 9.00 3,541 MAX VALUE 886.76 0.80 0.09 1.19
MCB cycle size 4 10 6.61 7.00 2,477 MAX VALUE 701.12 1.22 0.18 1.59
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 10.01%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.83 0.80 343.39 0.00 -83.14 0.14 0.16 3.77
Degree 2 142 41.34 8.00 17,116 MAX VALUE 1,112.14 51.72 1.25 3.47
Eccentricity 3 5 3.75 4.00 1,554 MAX VALUE 543.36 0.53 0.14 0.77
Incidence graph
Density: 0.81%
MCB compute time (ms): 689
MCB cycles: 375
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 27 3.65 2.00 1,656 MAX VALUE 407.78 5.37 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,681 MAX VALUE 805.62 0.29 0.05 0.31
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00