Instance: rand-2-40-16-250-350-58_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:08
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 1 16 10.44 11.00 83,524 MAX VALUE 18,619.20 1.91 0.18 2.06
Relational linkage 0.06 0.69 0.45 0.44 289.81 0.00 -519.18 0.08 0.18 1.67
Tightness 0.28 0.43 0.35 0.35 86.87 0.00 -265.18 0.03 0.09 3.40
Tuples 147 184 167.05 167.00 41,762 MAX VALUE 1,279.31 7.57 0.05 3.40
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 19 12.50 13.00 500 MAX VALUE 99.31 3.41 0.27 2.46
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: 7
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 6 114 46.88 35.00 797 1.65e+26 60.37 35.28 0.75 2.64
Cluster variables 6 24 13.94 13.00 237 6.29e+18 43.29 5.82 0.42 2.39
Separator constraints 0 107 32.18 20.00 547 0 None 31.24 0.97 2.75
Separator variables 0 23 11.59 11.00 197 0 None 5.99 0.52 2.48
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 51 969 274.74 218.00 10,440 MAX VALUE 203.53 209.93 0.76 3.60
Cluster variables 14 136 42.92 31.00 1,631 MAX VALUE 135.62 29.67 0.69 3.21
Separator constraints 0 491 192.97 179.50 7,333 0 None 123.92 0.64 3.60
Separator variables 0 98 36.34 29.50 1,381 0 None 22.55 0.62 3.30
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 0.57 0.34 0.33 13.71 0.00 -44.16 0.08 0.24 3.30
Degree 5 19 12.50 13.00 500 MAX VALUE 99.31 3.41 0.27 2.46
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 60.64%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.86 0.86 34.36 0.00 -6.30 0.09 0.10 3.20
Degree 5 35 23.65 28.50 946 MAX VALUE 121.53 9.48 0.40 2.77
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Dual graph
Density: 9.98%
MCB compute time (ms): 1,251
MCB cycles: 3,961
Triangles: 13,017
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 0.65 0.51 0.50 128.35 0.00 -167.09 0.03 0.06 4.77
Degree 13 35 24.86 25.00 6,214 MAX VALUE 799.07 4.40 0.18 2.85
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.17 3.00 12,543 MAX VALUE 4,541.02 0.38 0.12 0.46
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 338
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 319.38 0.84 0.23 1.18
Eccentricity 6 8 7.01 7.00 1,753 MAX VALUE 486.14 0.55 0.08 0.82
MCB cycle size 3 9 6.73 7.00 1,420 MAX VALUE 399.30 1.07 0.16 1.46
Triangulated dual graph
Density: 54.10%
Triangles: 724,707
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.76 1.00 0.85 0.83 213.23 0.00 -40.62 0.07 0.08 4.92
Degree 13 193 134.72 165.00 33,680 MAX VALUE 1,183.25 58.79 0.44 3.89
Eccentricity 2 3 2.19 2.00 547 MAX VALUE 192.34 0.39 0.18 0.48
Triangulated minimal dual graph
Density: 10.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.80 0.76 200.95 0.00 -58.60 0.14 0.18 3.61
Degree 2 86 27.19 8.00 6,798 MAX VALUE 621.67 31.61 1.16 3.29
Eccentricity 3 5 3.78 4.00 944 MAX VALUE 329.50 0.54 0.14 0.80
Incidence graph
Density: 1.19%
MCB compute time (ms): 195
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 272.60 3.84 1.11 0.74
Eccentricity 5 7 5.93 6.00 1,719 MAX VALUE 515.58 0.34 0.06 0.43
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11