Instance: rand-2-40-180-84-900-26_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:13
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 30,240
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 39 18.00 18.00 544,292 MAX VALUE 86,616.10 4.01 0.22 2.80
Relational linkage 0.02 0.14 0.08 0.08 562.41 0.00 -18,507.90 0.02 0.20 2.45
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.20
Tuples 3,108 3,349 3,239.83 3,241.50 272,146 MAX VALUE 678.98 54.94 0.02 4.20
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 7 4.20 4.00 168 6.10e+23 54.77 1.50 0.36 1.70
Partitions per subscope 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
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 2 9 4.20 4.00 126 3.32e+17 40.34 1.89 0.45 1.75
Cluster variables 3 11 5.57 5.00 167 2.22e+21 49.15 2.35 0.42 1.86
Separator constraints 0 6 1.40 1.00 42 0 None 1.76 1.26 1.55
Separator variables 0 10 4.23 3.50 127 0 None 2.26 0.53 1.90
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 4 35 16.45 16.00 625 MAX VALUE 100.80 8.34 0.51 2.99
Cluster variables 4 23 10.24 9.00 389 5.78e+36 84.65 4.75 0.46 2.58
Separator constraints 0 19 8.18 8.00 311 0 None 4.68 0.57 2.71
Separator variables 0 18 8.03 7.00 305 0 None 3.70 0.46 2.49
Primal graph
Density: 10.77%
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 0.12 0.08 4.81 0.00 None 0.18 1.49 1.93
Degree 2 7 4.20 4.00 168 6.10e+23 54.77 1.50 0.36 1.70
Eccentricity 3 5 4.10 4.00 164 2.43e+24 56.15 0.49 0.12 0.72
Triangulated primal graph
Density: 23.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 0.77 0.72 30.94 0.00 -11.73 0.20 0.26 2.46
Degree 2 23 9.10 7.00 364 1.18e+33 76.15 6.60 0.73 2.64
Eccentricity 2 4 3.12 3.00 125 3.20e+19 44.91 0.56 0.18 0.83
Dual graph
Density: 9.01%
MCB compute time (ms): 39
MCB cycles: 248
Triangles: 362
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 0.76 0.49 0.47 41.19 0.00 -61.02 0.08 0.17 2.99
Degree 3 12 7.48 7.00 628 MAX VALUE 165.79 1.99 0.27 2.07
Eccentricity 3 5 4.32 4.00 363 MAX VALUE 122.41 0.49 0.11 0.70
MCB cycle size 3 7 3.39 3.00 841 MAX VALUE 296.92 0.84 0.25 0.73
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 14
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.01 0.00 0.50 0.00 None 0.03 5.20 0.15
Degree 2 4 3.05 3.00 256 MAX VALUE 92.02 0.58 0.19 0.86
Eccentricity 6 9 7.38 7.00 620 MAX VALUE 167.57 0.67 0.09 0.99
MCB cycle size 3 10 6.76 7.00 304 6.74e+36 84.80 1.45 0.21 1.69
Triangulated dual graph
Density: 25.65%
Triangles: 5,435
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.77 0.77 64.81 0.00 -23.33 0.15 0.19 3.83
Degree 3 46 21.29 17.50 1,788 MAX VALUE 236.88 13.13 0.62 3.42
Eccentricity 2 4 3.05 3.00 256 MAX VALUE 92.49 0.49 0.16 0.71
Triangulated minimal dual graph
Density: 12.22%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.74 0.67 62.36 0.00 -28.18 0.20 0.27 2.61
Degree 2 29 10.14 5.50 852 MAX VALUE 159.80 9.14 0.90 2.65
Eccentricity 3 6 4.31 4.00 362 MAX VALUE 121.78 0.64 0.15 0.96
Incidence graph
Density: 2.20%
MCB compute time (ms): 25
MCB cycles: 45
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 7 2.71 2.00 336 MAX VALUE 112.99 1.34 0.49 1.04
Eccentricity 7 11 8.99 9.00 1,115 MAX VALUE 271.70 0.91 0.10 1.32
MCB cycle size 6 12 8.40 8.00 378 MAX VALUE 94.83 1.67 0.20 1.16