Instance: rand-2-40-40-135-650-10_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:31
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 2 27 14.02 14.00 151,372 MAX VALUE 28,247.90 3.01 0.21 2.52
Relational linkage 0.05 0.47 0.26 0.25 410.65 0.00 -2,209.97 0.05 0.20 2.12
Tightness 0.62 0.68 0.65 0.65 87.70 0.00 -58.26 0.01 0.02 3.98
Tuples 520 604 560.64 561.00 75,686 MAX VALUE 854.36 17.71 0.03 3.98
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 14 6.75 7.00 270 5.23e+31 73.04 2.57 0.38 2.26
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: 25
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 26 11.00 9.00 275 6.47e+23 54.83 6.60 0.60 2.66
Cluster variables 3 16 8.16 7.00 204 3.85e+21 49.70 3.75 0.46 2.38
Separator constraints 0 20 5.60 4.00 140 0 None 5.54 0.99 2.44
Separator variables 0 14 6.56 6.00 164 0 None 3.65 0.56 2.38
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 15 162 61.89 53.50 2,352 MAX VALUE 148.59 39.69 0.64 3.35
Cluster variables 7 54 19.68 15.50 748 MAX VALUE 107.24 12.04 0.61 3.02
Separator constraints 0 86 38.00 33.00 1,444 0 None 23.90 0.63 3.18
Separator variables 0 40 16.13 13.50 613 0 None 9.28 0.58 2.97
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 1.00 0.22 0.18 8.83 0.00 None 0.20 0.90 3.14
Degree 2 14 6.75 7.00 270 5.23e+31 73.04 2.57 0.38 2.26
Eccentricity 3 4 3.23 3.00 129 1.62e+20 46.53 0.42 0.13 0.53
Triangulated primal graph
Density: 36.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.81 0.78 32.26 0.00 -9.36 0.15 0.19 2.75
Degree 2 29 14.20 14.00 568 MAX VALUE 95.47 8.65 0.61 2.82
Eccentricity 2 4 2.95 3.00 118 3.00e+18 42.54 0.55 0.18 0.81
Dual graph
Density: 10.04%
MCB compute time (ms): 201
MCB cycles: 1,010
Triangles: 2,081
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 0.81 0.52 0.50 70.01 0.00 -89.69 0.07 0.13 4.03
Degree 6 22 13.45 14.00 1,816 MAX VALUE 346.30 3.37 0.25 2.59
Eccentricity 3 4 3.39 3.00 458 MAX VALUE 163.56 0.49 0.14 0.67
MCB cycle size 3 6 3.38 3.00 3,416 MAX VALUE 1,213.46 0.68 0.20 0.78
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 61
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 162.79 0.68 0.20 1.02
Eccentricity 6 8 6.63 7.00 895 MAX VALUE 254.93 0.53 0.08 0.77
MCB cycle size 3 9 6.81 7.00 654 MAX VALUE 181.75 1.42 0.21 1.68
Triangulated dual graph
Density: 38.35%
Triangles: 56,069
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.64 1.00 0.81 0.79 109.98 0.00 -28.77 0.10 0.13 4.39
Degree 6 92 51.39 59.00 6,938 MAX VALUE 500.33 28.25 0.55 3.88
Eccentricity 2 3 2.57 3.00 347 MAX VALUE 124.80 0.50 0.19 0.68
Triangulated minimal dual graph
Density: 11.43%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.78 0.72 104.91 0.00 -37.45 0.17 0.22 3.04
Degree 2 48 15.32 6.00 2,068 MAX VALUE 291.97 15.80 1.03 2.93
Eccentricity 3 5 3.71 4.00 501 MAX VALUE 175.61 0.53 0.14 0.77
Incidence graph
Density: 1.77%
MCB compute time (ms): 62
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 14 3.09 2.00 540 MAX VALUE 166.61 2.34 0.76 1.00
Eccentricity 6 9 7.28 7.00 1,274 MAX VALUE 346.66 0.66 0.09 1.01
MCB cycle size 6 8 6.88 6.00 660 MAX VALUE 184.09 0.99 0.14 0.69