Instance: rand-2-40-16-250-350-28_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:00
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 2 16 10.40 10.00 83,200 MAX VALUE 18,586.40 1.92 0.18 2.06
Relational linkage 0.12 0.69 0.45 0.44 288.56 0.00 -520.61 0.08 0.17 1.62
Tightness 0.26 0.44 0.35 0.35 87.50 0.00 -263.39 0.03 0.09 3.36
Tuples 144 189 166.40 166.00 41,600 MAX VALUE 1,278.33 7.70 0.05 3.36
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 19 12.50 13.00 500 MAX VALUE 100.04 2.74 0.22 2.23
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: 9
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 14 105 42.50 30.50 680 5.66e+24 56.99 27.24 0.64 2.69
Cluster variables 8 25 14.25 12.00 228 1.11e+18 41.55 5.09 0.36 2.31
Separator constraints 0 89 26.88 18.00 430 0 None 22.75 0.85 2.69
Separator variables 0 23 11.75 10.50 188 0 None 5.24 0.45 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 74 745 262.61 201.50 9,979 MAX VALUE 204.15 174.37 0.66 3.55
Cluster variables 17 120 42.53 32.00 1,616 MAX VALUE 136.10 27.53 0.65 3.31
Separator constraints 0 406 183.00 167.00 6,954 0 None 99.00 0.54 3.48
Separator variables 0 92 35.95 30.00 1,366 0 None 20.73 0.58 3.22
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 0.24 0.47 0.33 0.32 13.13 0.00 -45.02 0.05 0.15 3.48
Degree 7 19 12.50 13.00 500 MAX VALUE 100.04 2.74 0.22 2.23
Eccentricity 2 3 2.25 2.00 90 6.34e+13 31.78 0.43 0.19 0.56
Triangulated primal graph
Density: 62.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.86 0.85 34.41 0.00 -6.30 0.10 0.12 3.16
Degree 7 35 24.40 29.00 976 MAX VALUE 123.46 9.43 0.39 2.60
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.72%
MCB compute time (ms): 2,178
MCB cycles: 3,199
Triangles: 12,144
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 0.62 0.51 0.50 126.80 0.00 -169.91 0.02 0.04 4.51
Degree 16 34 24.20 24.00 6,050 MAX VALUE 793.76 3.63 0.15 2.67
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.08 3.00 9,851 MAX VALUE 3,587.47 0.27 0.09 0.28
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 279
MCB cycles: 211
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 3.68 4.00 920 MAX VALUE 320.17 0.79 0.21 1.12
Eccentricity 6 9 7.31 7.00 1,827 MAX VALUE 496.63 0.52 0.07 0.75
MCB cycle size 4 10 6.75 7.00 1,424 MAX VALUE 400.03 1.07 0.16 1.47
Triangulated dual graph
Density: 51.16%
Triangles: 629,388
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.84 0.82 209.94 0.00 -44.93 0.09 0.10 4.77
Degree 16 197 127.38 148.00 31,846 MAX VALUE 1,171.71 56.06 0.44 4.18
Eccentricity 2 3 2.25 2.00 563 MAX VALUE 198.83 0.43 0.19 0.56
Triangulated minimal dual graph
Density: 11.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.82 0.78 204.38 0.00 -53.96 0.14 0.17 3.47
Degree 2 89 29.30 8.00 7,326 MAX VALUE 634.68 33.68 1.15 3.25
Eccentricity 3 4 3.61 4.00 902 MAX VALUE 318.38 0.49 0.14 0.67
Incidence graph
Density: 1.19%
MCB compute time (ms): 197
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 19 3.45 2.00 1,000 MAX VALUE 273.33 3.76 1.09 0.71
Eccentricity 5 7 5.90 6.00 1,712 MAX VALUE 514.45 0.32 0.05 0.37
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07