Instance: rand-2-40-16-250-350-91_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:54
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 10.38 10.00 83,024 MAX VALUE 18,570.10 1.92 0.19 2.07
Relational linkage 0.19 0.69 0.45 0.44 289.38 0.00 -516.94 0.07 0.16 1.55
Tightness 0.26 0.43 0.35 0.35 87.84 0.00 -262.42 0.03 0.09 3.37
Tuples 145 190 166.05 166.00 41,512 MAX VALUE 1,277.80 7.73 0.05 3.37
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 20 12.50 13.00 500 MAX VALUE 99.77 3.03 0.24 2.26
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: 10
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 13 105 41.12 24.00 658 1.92e+24 55.91 28.28 0.69 2.57
Cluster variables 8 25 13.88 11.00 222 6.32e+17 40.99 5.31 0.38 2.07
Separator constraints 0 81 25.50 14.50 408 0 None 22.44 0.88 2.51
Separator variables 0 22 11.38 9.50 182 0 None 5.35 0.47 2.07
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 52 811 268.11 207.00 10,188 MAX VALUE 203.95 186.84 0.70 3.49
Cluster variables 14 129 42.68 30.50 1,622 MAX VALUE 135.88 28.42 0.67 3.23
Separator constraints 0 437 187.60 175.00 7,129 0 None 109.65 0.58 3.64
Separator variables 0 94 36.11 28.50 1,372 0 None 21.56 0.60 3.21
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 0.54 0.33 0.33 13.37 0.00 -44.52 0.06 0.18 3.45
Degree 7 20 12.50 13.00 500 MAX VALUE 99.77 3.03 0.24 2.26
Eccentricity 2 3 2.35 2.00 94 3.21e+14 33.40 0.48 0.20 0.65
Triangulated primal graph
Density: 61.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.84 34.43 0.00 -6.26 0.10 0.12 3.08
Degree 7 34 24.10 29.00 964 MAX VALUE 122.64 9.54 0.40 2.67
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.83%
MCB compute time (ms): 7,333
MCB cycles: 3,045
Triangles: 12,523
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 0.51 0.50 127.34 0.00 -168.86 0.02 0.04 4.61
Degree 13 35 24.47 25.00 6,118 MAX VALUE 795.74 4.06 0.17 2.73
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.05 3.00 9,277 MAX VALUE 3,386.13 0.21 0.07 0.19
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 481
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.37 0.00 None 0.01 9.37 0.07
Degree 2 6 3.68 3.00 920 MAX VALUE 319.84 0.82 0.22 1.13
Eccentricity 6 8 7.17 7.00 1,792 MAX VALUE 491.59 0.58 0.08 0.86
MCB cycle size 3 10 6.75 7.00 1,424 MAX VALUE 399.66 1.12 0.17 1.51
Triangulated dual graph
Density: 52.20%
Triangles: 666,994
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.85 0.83 211.67 0.00 -42.70 0.08 0.09 4.91
Degree 13 199 129.97 156.50 32,492 MAX VALUE 1,174.96 57.64 0.44 4.19
Eccentricity 2 3 2.23 2.00 557 MAX VALUE 196.40 0.42 0.19 0.54
Triangulated minimal dual graph
Density: 10.96%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.82 0.77 204.16 0.00 -54.81 0.15 0.18 3.41
Degree 2 88 27.28 7.00 6,820 MAX VALUE 618.84 31.78 1.16 3.21
Eccentricity 3 5 3.70 4.00 924 MAX VALUE 324.39 0.50 0.14 0.72
Incidence graph
Density: 1.19%
MCB compute time (ms): 317
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 20 3.45 2.00 1,000 MAX VALUE 273.06 3.79 1.10 0.71
Eccentricity 5 7 5.92 6.00 1,718 MAX VALUE 515.49 0.31 0.05 0.37
MCB cycle size 6 8 6.07 6.00 1,280 MAX VALUE 380.07 0.36 0.06 0.15