Instance: rand-2-40-16-250-350-45_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:09
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 10.35 10.00 82,818 MAX VALUE 18,550.60 1.91 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 288.50 0.00 -520.35 0.08 0.17 1.62
Tightness 0.28 0.44 0.35 0.35 88.25 0.00 -261.11 0.03 0.08 3.30
Tuples 144 185 165.64 166.00 41,409 MAX VALUE 1,277.22 7.08 0.04 3.30
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 21 12.50 12.50 500 MAX VALUE 99.27 3.64 0.29 2.40
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: 17
Number of leaves: 10
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 9 110 46.59 34.00 792 1.66e+26 60.37 34.87 0.75 2.56
Cluster variables 7 24 14.29 12.00 243 9.94e+18 43.74 5.99 0.42 2.20
Separator constraints 0 99 31.88 16.00 542 0 None 31.88 1.00 2.56
Separator variables 0 23 11.94 11.00 203 0 None 6.24 0.52 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 50 907 277.74 221.50 10,554 MAX VALUE 203.65 214.74 0.77 3.60
Cluster variables 14 130 43.18 33.50 1,641 MAX VALUE 135.66 30.21 0.70 3.30
Separator constraints 0 524 195.10 173.00 7,414 0 None 129.68 0.66 3.56
Separator variables 0 102 36.61 29.50 1,391 0 None 23.29 0.64 3.40
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 0.10 0.67 0.33 0.32 13.38 0.00 -45.33 0.09 0.27 3.43
Degree 6 21 12.50 12.50 500 MAX VALUE 99.27 3.64 0.29 2.40
Eccentricity 2 3 2.25 2.00 90 6.34e+13 31.78 0.43 0.19 0.56
Triangulated primal graph
Density: 61.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.86 0.83 34.50 0.00 -6.14 0.09 0.11 3.03
Degree 6 33 23.95 30.00 958 MAX VALUE 122.09 9.55 0.40 2.52
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 10.09%
MCB compute time (ms): 2,454
MCB cycles: 3,490
Triangles: 13,575
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 0.68 0.52 0.51 128.96 0.00 -165.93 0.03 0.06 4.76
Degree 13 38 25.12 25.00 6,280 MAX VALUE 800.68 5.04 0.20 2.98
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 10,653 MAX VALUE 3,886.80 0.22 0.07 0.21
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 350
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.03 9.43 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 319.58 0.81 0.22 1.18
Eccentricity 6 9 7.35 7.00 1,837 MAX VALUE 497.68 0.63 0.09 0.96
MCB cycle size 3 9 6.73 7.00 1,421 MAX VALUE 399.21 1.11 0.17 1.50
Triangulated dual graph
Density: 54.24%
Triangles: 725,702
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.84 213.30 0.00 -40.62 0.07 0.09 4.93
Degree 13 202 135.06 160.50 33,764 MAX VALUE 1,183.89 58.67 0.43 4.19
Eccentricity 2 3 2.16 2.00 540 MAX VALUE 189.50 0.37 0.17 0.44
Triangulated minimal dual graph
Density: 10.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.76 203.21 0.00 -55.85 0.15 0.18 3.47
Degree 2 88 27.14 7.00 6,786 MAX VALUE 616.02 31.82 1.17 3.23
Eccentricity 3 5 3.76 4.00 939 MAX VALUE 328.31 0.52 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 245
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 21 3.45 2.00 1,000 MAX VALUE 272.56 3.86 1.12 0.73
Eccentricity 5 7 5.91 6.00 1,713 MAX VALUE 514.60 0.32 0.05 0.39
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13