Instance: rand-2-40-80-103-800-49_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:00
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,480
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 4 31 16.00 16.00 263,684 MAX VALUE 45,258.60 3.58 0.22 2.69
Relational linkage 0.05 0.31 0.15 0.15 484.57 0.00 -6,109.09 0.03 0.20 2.31
Tightness 0.79 0.82 0.80 0.80 82.40 0.00 -22.99 0.00 0.01 4.10
Tuples 1,181 1,349 1,280.02 1,281.00 131,842 MAX VALUE 736.90 30.87 0.02 4.10
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 10 5.15 5.00 206 1.41e+27 62.51 1.94 0.38 1.91
Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 15
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 15 6.66 6.00 193 9.59e+21 50.62 3.55 0.53 2.25
Cluster variables 3 12 6.41 6.00 186 2.17e+22 51.43 2.70 0.42 2.16
Separator constraints 0 13 3.10 2.00 90 0 None 3.42 1.10 2.05
Separator variables 0 11 5.03 4.00 146 0 None 2.66 0.53 2.20
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 6 70 29.45 24.00 1,119 MAX VALUE 122.45 16.50 0.56 3.21
Cluster variables 5 36 13.53 11.00 514 MAX VALUE 94.19 7.33 0.54 2.74
Separator constraints 0 40 16.21 13.00 616 0 None 9.84 0.61 2.96
Separator variables 0 25 10.82 9.00 411 0 None 5.63 0.52 2.69
Primal graph
Density: 13.21%
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 0.50 0.18 0.17 7.37 0.00 None 0.14 0.76 2.50
Degree 2 10 5.15 5.00 206 1.41e+27 62.51 1.94 0.38 1.91
Eccentricity 3 4 3.62 4.00 145 1.62e+22 51.14 0.48 0.13 0.66
Triangulated primal graph
Density: 27.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.78 0.75 31.38 0.00 -10.93 0.19 0.24 2.56
Degree 2 27 10.60 7.50 424 9.13e+35 82.80 7.35 0.69 2.67
Eccentricity 2 3 2.67 3.00 107 6.25e+16 38.67 0.47 0.18 0.63
Dual graph
Density: 9.58%
MCB compute time (ms): 136
MCB cycles: 420
Triangles: 816
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 0.78 0.52 0.50 53.29 0.00 -68.74 0.07 0.13 3.47
Degree 4 17 9.77 10.00 1,006 MAX VALUE 231.13 2.50 0.26 2.23
Eccentricity 3 5 3.93 4.00 405 MAX VALUE 140.45 0.40 0.10 0.55
MCB cycle size 3 5 3.16 3.00 1,329 MAX VALUE 480.17 0.47 0.15 0.45
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 38
MCB cycles: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.05 6.01 0.15
Degree 2 5 3.22 3.00 332 MAX VALUE 118.52 0.64 0.20 0.95
Eccentricity 6 8 6.70 7.00 690 MAX VALUE 195.53 0.57 0.09 0.85
MCB cycle size 3 10 6.69 7.00 428 MAX VALUE 119.84 1.50 0.22 1.78
Triangulated dual graph
Density: 30.82%
Triangles: 15,633
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.79 0.79 81.47 0.00 -25.36 0.12 0.15 4.07
Degree 4 59 31.44 26.00 3,238 MAX VALUE 329.39 18.96 0.60 3.41
Eccentricity 2 3 2.65 3.00 273 MAX VALUE 98.56 0.48 0.18 0.65
Triangulated minimal dual graph
Density: 11.86%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.75 0.67 77.31 0.00 -32.61 0.18 0.24 2.99
Degree 2 37 12.10 6.00 1,246 MAX VALUE 208.44 11.60 0.96 2.90
Eccentricity 3 5 4.02 4.00 414 MAX VALUE 142.07 0.61 0.15 0.91
Incidence graph
Density: 2.03%
MCB compute time (ms): 52
MCB cycles: 64
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 10 2.88 2.00 412 MAX VALUE 133.91 1.75 0.61 1.03
Eccentricity 7 10 8.08 8.00 1,156 MAX VALUE 298.29 0.72 0.09 1.07
MCB cycle size 6 10 7.38 8.00 472 MAX VALUE 126.81 1.36 0.18 0.98