Instance: rand-2-40-11-414-200-0_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:33
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 3 11 8.79 9.00 80,032 MAX VALUE 19,680.80 1.33 0.15 1.68
Relational linkage 0.27 0.73 0.56 0.55 245.09 0.00 -262.46 0.08 0.14 1.27
Tightness 0.10 0.30 0.20 0.20 83.29 0.00 -670.50 0.03 0.17 2.82
Tuples 85 109 96.66 97.00 40,016 MAX VALUE 1,892.07 4.23 0.04 2.82
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 27 20.70 21.00 828 MAX VALUE 120.69 3.29 0.16 2.41
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: 12
Number of leaves: 6
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 72 228 141.75 124.50 1,701 2.07e+25 58.29 60.28 0.43 2.37
Cluster variables 16 29 22.08 21.00 265 9.72e+15 36.81 5.11 0.23 1.86
Separator constraints 0 206 107.25 104.50 1,287 0 None 62.61 0.58 2.48
Separator variables 0 28 18.75 19.50 225 0 None 7.33 0.39 1.98
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 232 3,245 852.08 566.50 32,379 MAX VALUE 246.78 702.54 0.82 3.60
Cluster variables 30 251 77.11 52.00 2,930 MAX VALUE 157.65 55.77 0.72 3.49
Separator constraints 0 1,774 631.76 508.00 24,007 0 None 415.81 0.66 3.60
Separator variables 0 193 66.21 48.00 2,516 0 None 42.59 0.64 3.46
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 0.44 0.61 0.53 0.53 21.40 0.00 -25.09 0.03 0.06 3.50
Degree 15 27 20.70 21.00 828 MAX VALUE 120.69 3.29 0.16 2.41
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 80.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.90 0.89 36.10 0.02 -4.17 0.05 0.06 3.11
Degree 15 38 31.55 35.00 1,262 MAX VALUE 136.69 7.09 0.22 2.37
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.79%
MCB compute time (ms): 9,327
MCB cycles: 8,601
Triangles: 56,586
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 0.50 210.19 0.00 -280.70 0.01 0.02 5.11
Degree 29 52 40.44 41.00 16,744 MAX VALUE 1,529.15 4.49 0.11 2.90
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 4 3.01 3.00 25,883 MAX VALUE 9,472.18 0.10 0.03 0.05
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,822
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 543.02 0.87 0.23 1.18
Eccentricity 6 10 8.24 8.00 3,410 MAX VALUE 871.24 0.75 0.09 1.13
MCB cycle size 4 9 6.63 7.00 2,486 MAX VALUE 703.66 1.10 0.17 1.49
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: 9.75%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.82 0.78 339.93 0.00 -87.50 0.14 0.17 3.76
Degree 2 141 40.28 9.00 16,674 MAX VALUE 1,111.95 50.18 1.25 3.49
Eccentricity 3 5 3.77 4.00 1,559 MAX VALUE 544.60 0.53 0.14 0.79
Incidence graph
Density: 0.81%
MCB compute time (ms): 855
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 407.65 5.39 1.48 0.51
Eccentricity 5 6 5.91 6.00 2,682 MAX VALUE 805.80 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