Instance: rand-2-40-40-135-650-30_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:34
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 14.06 14.00 151,874 MAX VALUE 28,283.40 3.03 0.22 2.53
Relational linkage 0.05 0.45 0.26 0.25 410.20 0.00 -2,209.39 0.05 0.19 2.09
Tightness 0.62 0.68 0.65 0.65 87.54 0.00 -58.50 0.01 0.02 3.97
Tuples 514 611 562.50 560.00 75,937 MAX VALUE 854.79 19.06 0.03 3.97
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 7.00 270 7.42e+31 73.38 2.32 0.34 2.13
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: 23
Number of leaves: 11
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 31 11.22 8.00 258 1.73e+21 48.90 8.28 0.74 2.63
Cluster variables 3 18 8.52 7.00 196 1.16e+20 46.20 4.41 0.52 2.45
Separator constraints 0 26 5.35 3.00 123 0 None 6.82 1.28 2.10
Separator variables 0 17 6.78 6.00 156 0 None 4.18 0.62 2.51
Dual tree decomposition
Number of clusters: 38
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 16 155 62.03 45.50 2,357 MAX VALUE 148.52 39.46 0.64 3.28
Cluster variables 7 58 20.26 16.00 770 MAX VALUE 108.02 12.71 0.63 2.96
Separator constraints 0 85 38.76 33.50 1,473 0 None 24.11 0.62 3.21
Separator variables 0 43 16.71 13.50 635 0 None 9.78 0.59 2.85
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 0.50 0.15 0.14 5.82 0.00 None 0.10 0.69 2.60
Degree 2 11 6.75 7.00 270 7.42e+31 73.38 2.32 0.34 2.13
Eccentricity 3 4 3.20 3.00 128 1.21e+20 46.25 0.40 0.12 0.50
Triangulated primal graph
Density: 39.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.83 0.81 33.16 0.00 -8.07 0.14 0.17 2.82
Degree 2 28 15.45 15.50 618 MAX VALUE 98.46 9.28 0.60 2.82
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.77%
MCB compute time (ms): 222
MCB cycles: 860
Triangles: 1,877
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 0.80 0.51 0.49 68.32 0.00 -92.64 0.06 0.11 3.72
Degree 6 19 13.10 14.00 1,768 MAX VALUE 343.44 2.93 0.22 2.40
Eccentricity 3 4 3.37 3.00 455 MAX VALUE 162.70 0.48 0.14 0.66
MCB cycle size 3 6 3.22 3.00 2,771 MAX VALUE 997.78 0.49 0.15 0.58
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 162.68 0.69 0.20 1.04
Eccentricity 6 8 6.76 7.00 912 MAX VALUE 257.49 0.52 0.08 0.77
MCB cycle size 3 10 6.84 7.00 657 MAX VALUE 182.58 1.33 0.19 1.66
Triangulated dual graph
Density: 40.71%
Triangles: 63,661
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.82 0.78 110.92 0.00 -27.51 0.10 0.12 4.38
Degree 6 92 54.55 66.00 7,364 MAX VALUE 508.46 29.36 0.54 3.77
Eccentricity 2 3 2.44 2.00 330 MAX VALUE 117.90 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.79 0.71 106.08 0.00 -35.95 0.18 0.22 3.05
Degree 2 49 15.73 7.00 2,124 MAX VALUE 291.69 16.40 1.04 2.96
Eccentricity 3 5 3.67 4.00 496 MAX VALUE 174.36 0.50 0.14 0.71
Incidence graph
Density: 1.77%
MCB compute time (ms): 49
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 166.96 2.28 0.74 0.96
Eccentricity 6 9 7.25 7.00 1,268 MAX VALUE 345.89 0.63 0.09 0.96
MCB cycle size 6 10 7.12 8.00 684 MAX VALUE 187.35 1.11 0.16 0.81