Instance: rand-2-40-40-135-650-6_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 3 27 13.94 14.00 150,566 MAX VALUE 28,182.40 3.04 0.22 2.53
Relational linkage 0.07 0.45 0.25 0.25 403.85 0.00 -2,236.36 0.05 0.20 2.12
Tightness 0.62 0.69 0.65 0.65 87.95 0.00 -57.88 0.01 0.02 4.06
Tuples 502 608 557.65 558.00 75,283 MAX VALUE 853.61 20.54 0.04 4.06
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 12 6.75 6.00 270 1.23e+32 73.89 2.23 0.33 2.14
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: 13
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 30 11.46 9.50 275 4.69e+22 52.20 8.26 0.72 2.60
Cluster variables 3 17 9.08 7.00 218 4.79e+21 49.92 4.55 0.50 2.36
Separator constraints 0 22 5.83 3.00 140 0 None 7.29 1.25 2.15
Separator variables 0 16 7.42 6.00 178 0 None 4.52 0.61 2.44
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 13 156 60.58 46.00 2,302 MAX VALUE 147.61 40.30 0.67 3.42
Cluster variables 7 56 20.00 16.00 760 MAX VALUE 107.74 12.32 0.62 2.89
Separator constraints 0 95 37.53 27.00 1,426 0 None 24.95 0.66 3.37
Separator variables 0 41 16.45 14.00 625 0 None 9.44 0.57 3.06
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 0.14 5.28 0.00 None 0.09 0.71 2.80
Degree 2 12 6.75 6.00 270 1.23e+32 73.89 2.23 0.33 2.14
Eccentricity 2 4 3.05 3.00 122 1.92e+19 44.40 0.31 0.10 0.38
Triangulated primal graph
Density: 40.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.82 0.79 32.83 0.00 -8.45 0.14 0.17 2.82
Degree 2 28 15.70 18.50 628 MAX VALUE 100.00 9.09 0.58 2.82
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.68%
MCB compute time (ms): 307
MCB cycles: 757
Triangles: 1,861
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.72 0.50 0.50 67.75 0.00 -93.57 0.04 0.09 3.80
Degree 6 20 12.98 13.00 1,752 MAX VALUE 341.91 3.07 0.24 2.47
Eccentricity 3 4 3.33 3.00 450 MAX VALUE 161.26 0.47 0.14 0.64
MCB cycle size 3 5 3.10 3.00 2,343 MAX VALUE 852.17 0.31 0.10 0.32
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 45
MCB cycles: 96
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 0.03 7.40 0.13
Degree 2 5 3.41 3.00 460 MAX VALUE 163.04 0.65 0.19 0.97
Eccentricity 6 8 6.86 7.00 926 MAX VALUE 259.36 0.65 0.09 0.97
MCB cycle size 3 9 6.72 7.00 645 MAX VALUE 181.26 1.14 0.17 1.49
Triangulated dual graph
Density: 39.60%
Triangles: 59,846
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.80 110.28 0.00 -28.37 0.10 0.13 4.41
Degree 6 91 53.07 58.00 7,164 MAX VALUE 505.21 28.65 0.54 3.81
Eccentricity 2 3 2.50 3.00 338 MAX VALUE 121.15 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.78 0.71 105.43 0.00 -36.12 0.16 0.20 3.12
Degree 2 52 17.01 7.00 2,296 MAX VALUE 302.63 17.45 1.03 2.99
Eccentricity 3 5 3.75 4.00 506 MAX VALUE 177.05 0.51 0.14 0.75
Incidence graph
Density: 1.77%
MCB compute time (ms): 47
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 12 3.09 2.00 540 MAX VALUE 167.46 2.26 0.73 0.99
Eccentricity 5 8 7.14 7.00 1,249 MAX VALUE 343.22 0.64 0.09 0.95
MCB cycle size 6 10 7.15 8.00 686 MAX VALUE 187.77 1.03 0.14 0.74