Instance: rand-2-40-40-135-650-70_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:44
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 4 27 14.06 14.00 151,824 MAX VALUE 28,279.10 3.04 0.22 2.53
Relational linkage 0.10 0.50 0.26 0.25 411.10 0.00 -2,206.61 0.05 0.19 2.11
Tightness 0.62 0.68 0.65 0.65 87.56 0.00 -58.48 0.01 0.02 4.02
Tuples 505 615 562.31 564.00 75,912 MAX VALUE 854.74 20.60 0.04 4.02
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.75 6.00 270 1.00e+32 73.69 2.33 0.35 2.11
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 11
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 2 34 11.75 7.50 282 6.38e+22 52.51 9.20 0.78 2.67
Cluster variables 3 17 8.67 7.50 208 2.41e+21 49.24 4.07 0.47 2.44
Separator constraints 0 31 6.12 2.50 147 0 None 8.22 1.34 2.36
Separator variables 0 16 7.00 6.00 168 0 None 3.96 0.57 2.50
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 12 204 65.13 49.00 2,475 MAX VALUE 149.44 47.27 0.73 3.42
Cluster variables 7 61 20.55 16.00 781 MAX VALUE 108.43 13.26 0.65 2.99
Separator constraints 0 109 41.84 31.50 1,590 0 None 29.48 0.70 3.31
Separator variables 0 45 17.00 14.00 646 0 None 10.19 0.60 2.95
Primal graph
Density: 17.31%
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 0.33 0.13 0.13 5.09 0.00 None 0.09 0.69 2.69
Degree 2 11 6.75 6.00 270 1.00e+32 73.69 2.33 0.35 2.11
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 38.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.81 0.78 32.53 0.00 -8.89 0.14 0.18 2.80
Degree 2 29 15.20 16.00 608 MAX VALUE 99.06 8.86 0.58 2.86
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.78%
MCB compute time (ms): 292
MCB cycles: 965
Triangles: 1,905
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.75 0.51 0.49 68.37 0.00 -92.59 0.06 0.11 3.72
Degree 6 20 13.11 13.00 1,770 MAX VALUE 343.43 3.09 0.24 2.50
Eccentricity 3 4 3.24 3.00 437 MAX VALUE 157.52 0.43 0.13 0.55
MCB cycle size 3 5 3.39 3.00 3,274 MAX VALUE 1,162.48 0.67 0.20 0.79
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 68
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 162.85 0.68 0.20 1.00
Eccentricity 6 7 6.59 7.00 889 MAX VALUE 254.06 0.49 0.07 0.68
MCB cycle size 4 9 6.88 7.00 660 MAX VALUE 183.49 1.17 0.17 1.52
Triangulated dual graph
Density: 42.40%
Triangles: 70,029
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.83 0.81 111.61 0.00 -26.49 0.09 0.11 4.41
Degree 6 94 56.81 69.00 7,670 MAX VALUE 513.95 30.09 0.53 3.89
Eccentricity 2 3 2.47 2.00 333 MAX VALUE 119.12 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.46%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.72 105.08 0.00 -36.81 0.16 0.21 3.16
Degree 2 50 16.70 7.00 2,254 MAX VALUE 302.02 16.94 1.01 3.06
Eccentricity 3 5 3.76 4.00 508 MAX VALUE 177.49 0.53 0.14 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 83
MCB cycles: 96
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 11 3.09 2.00 540 MAX VALUE 167.26 2.29 0.74 0.99
Eccentricity 6 8 7.04 7.00 1,232 MAX VALUE 340.91 0.59 0.08 0.89
MCB cycle size 6 10 7.29 8.00 700 MAX VALUE 189.78 1.00 0.14 0.71