Instance: rand-2-40-16-250-350-5_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:03
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 4 16 10.42 10.00 83,396 MAX VALUE 18,610.80 1.90 0.18 2.06
Relational linkage 0.25 0.62 0.45 0.44 289.56 0.00 -516.23 0.07 0.16 1.55
Tightness 0.28 0.45 0.35 0.35 87.12 0.00 -264.42 0.03 0.08 3.32
Tuples 140 185 166.79 167.00 41,698 MAX VALUE 1,278.93 7.45 0.04 3.32
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 12.00 500 MAX VALUE 99.92 2.93 0.23 2.32
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: 8
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 16 111 49.81 40.00 797 8.81e+25 59.74 29.48 0.59 2.60
Cluster variables 8 25 14.94 13.50 239 2.27e+18 42.27 5.31 0.36 2.48
Separator constraints 0 87 34.19 26.00 547 0 None 26.33 0.77 2.60
Separator variables 0 22 12.44 12.00 199 0 None 5.63 0.45 2.48
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 68 861 271.63 202.50 10,322 MAX VALUE 204.17 199.77 0.74 3.60
Cluster variables 16 132 43.13 31.50 1,639 MAX VALUE 136.13 29.37 0.68 3.33
Separator constraints 0 468 191.45 163.50 7,275 0 None 118.78 0.62 3.60
Separator variables 0 98 36.55 29.00 1,389 0 None 22.38 0.61 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 0.26 0.50 0.35 0.34 13.97 0.00 -42.60 0.06 0.17 3.40
Degree 7 19 12.50 12.00 500 MAX VALUE 99.92 2.93 0.23 2.32
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 63.97%
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 -6.21 0.09 0.10 3.24
Degree 7 35 24.95 30.00 998 MAX VALUE 124.67 9.19 0.37 2.73
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Dual graph
Density: 9.79%
MCB compute time (ms): 4,350
MCB cycles: 2,932
Triangles: 12,442
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 0.59 0.51 0.50 127.45 0.00 -168.63 0.02 0.04 4.70
Degree 15 36 24.38 24.00 6,094 MAX VALUE 795.02 3.97 0.16 2.77
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.02 3.00 8,843 MAX VALUE 3,234.65 0.13 0.04 0.08
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 315
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 319.94 0.79 0.21 1.16
Eccentricity 6 8 7.15 7.00 1,788 MAX VALUE 491.14 0.54 0.08 0.80
MCB cycle size 4 10 6.75 7.00 1,424 MAX VALUE 399.66 1.13 0.17 1.50
Triangulated dual graph
Density: 53.66%
Triangles: 707,568
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.84 212.63 0.00 -41.45 0.08 0.09 4.86
Degree 15 200 133.62 165.50 33,404 MAX VALUE 1,181.96 58.26 0.44 3.95
Eccentricity 2 3 2.19 2.00 548 MAX VALUE 192.75 0.39 0.18 0.49
Triangulated minimal dual graph
Density: 11.20%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.79 203.83 0.00 -55.06 0.15 0.18 3.52
Degree 2 86 27.89 7.00 6,972 MAX VALUE 624.05 32.38 1.16 3.25
Eccentricity 3 5 3.77 4.00 942 MAX VALUE 328.86 0.55 0.15 0.82
Incidence graph
Density: 1.19%
MCB compute time (ms): 225
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 273.21 3.78 1.10 0.72
Eccentricity 5 7 5.93 6.00 1,719 MAX VALUE 515.58 0.34 0.06 0.43
MCB cycle size 6 6 6.00 6.00 1,266 MAX VALUE 378.06 0.00 0.00 0.00