Instance: rand-2-40-16-250-350-48_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:57
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 10.37 10.00 82,956 MAX VALUE 18,560.30 1.93 0.19 2.08
Relational linkage 0.19 0.62 0.45 0.44 285.62 0.00 -526.35 0.08 0.17 1.60
Tightness 0.28 0.45 0.35 0.35 87.98 0.00 -261.97 0.03 0.08 3.33
Tuples 142 184 165.91 166.00 41,478 MAX VALUE 1,277.60 7.54 0.05 3.33
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 24 12.50 11.50 500 MAX VALUE 99.55 3.60 0.29 2.31
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: 18
Number of leaves: 8
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 17 92 49.94 47.50 899 1.44e+29 67.14 27.99 0.56 2.66
Cluster variables 9 23 15.44 15.00 278 7.99e+20 48.13 5.35 0.35 2.25
Separator constraints 0 86 36.06 23.00 649 0 None 27.55 0.76 2.66
Separator variables 0 22 13.22 11.50 238 0 None 5.96 0.45 2.35
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 65 855 271.21 198.50 10,306 MAX VALUE 203.30 205.36 0.76 3.60
Cluster variables 16 129 42.61 32.00 1,619 MAX VALUE 135.58 28.95 0.68 3.33
Separator constraints 0 509 188.74 152.50 7,172 0 None 122.52 0.65 3.53
Separator variables 0 98 36.03 30.00 1,369 0 None 22.02 0.61 3.33
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 0.19 0.47 0.33 0.32 13.12 0.00 -45.43 0.07 0.20 3.48
Degree 8 24 12.50 11.50 500 MAX VALUE 99.55 3.60 0.29 2.31
Eccentricity 2 3 2.20 2.00 88 2.82e+13 30.97 0.40 0.18 0.50
Triangulated primal graph
Density: 62.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.69 1.00 0.86 0.86 34.28 0.00 -6.44 0.10 0.12 3.24
Degree 8 35 24.55 28.00 982 MAX VALUE 123.91 9.27 0.38 2.69
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 10.07%
MCB compute time (ms): 2,573
MCB cycles: 3,503
Triangles: 13,751
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 0.62 0.51 0.50 128.72 0.00 -166.38 0.03 0.06 4.79
Degree 15 42 25.07 25.00 6,268 MAX VALUE 799.53 5.52 0.22 3.02
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.09 3.00 10,821 MAX VALUE 3,938.13 0.29 0.09 0.30
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 330
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 0.60 0.00 None 0.02 10.12 0.08
Degree 2 6 3.68 4.00 920 MAX VALUE 319.41 0.84 0.23 1.19
Eccentricity 6 9 7.32 7.00 1,831 MAX VALUE 496.85 0.63 0.09 0.96
MCB cycle size 3 9 6.70 7.00 1,413 MAX VALUE 397.91 1.13 0.17 1.52
Triangulated dual graph
Density: 52.74%
Triangles: 681,142
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.82 211.77 0.00 -42.51 0.08 0.09 4.76
Degree 15 190 131.33 161.00 32,832 MAX VALUE 1,177.57 57.79 0.44 3.90
Eccentricity 2 3 2.15 2.00 538 MAX VALUE 188.69 0.36 0.17 0.43
Triangulated minimal dual graph
Density: 10.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.81 0.76 201.37 0.00 -58.22 0.15 0.18 3.54
Degree 2 86 26.86 7.50 6,714 MAX VALUE 618.44 31.35 1.17 3.21
Eccentricity 3 5 3.75 4.00 938 MAX VALUE 327.90 0.54 0.14 0.80
Incidence graph
Density: 1.19%
MCB compute time (ms): 240
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 24 3.45 2.00 1,000 MAX VALUE 272.84 3.86 1.12 0.72
Eccentricity 5 7 5.90 6.00 1,712 MAX VALUE 514.39 0.34 0.06 0.42
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13