Instance: rand-2-40-11-414-200-77_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:41
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 8.81 9.00 80,264 MAX VALUE 19,714.10 1.30 0.15 1.65
Relational linkage 0.36 0.73 0.57 0.55 249.09 0.00 -254.78 0.08 0.14 1.26
Tightness 0.12 0.29 0.20 0.20 82.33 0.00 -674.46 0.03 0.17 2.77
Tuples 86 107 96.94 97.00 40,132 MAX VALUE 1,893.31 3.97 0.04 2.77
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 26 20.70 20.00 828 MAX VALUE 120.86 2.70 0.13 2.23
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: 11
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 61 238 138.64 118.00 1,525 1.37e+23 53.28 58.26 0.42 2.40
Cluster variables 15 30 22.18 21.00 244 4.90e+14 33.83 4.91 0.22 2.02
Separator constraints 0 202 101.00 86.00 1,111 0 None 58.22 0.58 2.40
Separator variables 0 28 18.55 18.00 204 0 None 7.24 0.39 2.02
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 250 3,528 860.68 601.50 32,706 MAX VALUE 247.32 724.93 0.84 3.51
Cluster variables 31 265 77.63 50.00 2,950 MAX VALUE 157.93 56.57 0.73 3.30
Separator constraints 0 1,875 642.21 502.50 24,404 0 None 432.45 0.67 3.51
Separator variables 0 188 66.74 47.50 2,536 0 None 43.09 0.65 3.33
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 0.46 0.60 0.53 0.53 21.05 0.00 -25.74 0.03 0.05 3.54
Degree 14 26 20.70 20.00 828 MAX VALUE 120.86 2.70 0.13 2.23
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.91 0.89 36.23 0.02 -4.03 0.05 0.06 3.08
Degree 14 38 31.95 35.00 1,278 MAX VALUE 137.29 6.95 0.22 2.11
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.71%
MCB compute time (ms): 5,450
MCB cycles: 8,069
Triangles: 55,191
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 0.55 0.51 0.50 209.23 0.00 -282.56 0.01 0.01 4.83
Degree 30 50 40.11 40.00 16,604 MAX VALUE 1,526.51 3.71 0.09 2.71
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.00 3.00 24,224 MAX VALUE 8,869.59 0.05 0.02 0.02
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,591
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 542.42 0.90 0.24 1.22
Eccentricity 6 10 8.03 8.00 3,325 MAX VALUE 860.85 0.72 0.09 1.08
MCB cycle size 4 9 6.73 7.00 2,524 MAX VALUE 709.16 1.13 0.17 1.50
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: 10.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.83 0.80 344.75 0.00 -81.17 0.13 0.16 3.81
Degree 2 143 42.04 9.00 17,404 MAX VALUE 1,114.99 52.78 1.26 3.40
Eccentricity 3 5 3.72 4.00 1,540 MAX VALUE 539.85 0.50 0.14 0.73
Incidence graph
Density: 0.81%
MCB compute time (ms): 622
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 26 3.65 2.00 1,656 MAX VALUE 407.82 5.36 1.47 0.49
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00