Instance: rand-2-40-40-135-650-57_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:35
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 4 28 14.01 14.00 151,298 MAX VALUE 28,237.90 3.04 0.22 2.53
Relational linkage 0.10 0.45 0.26 0.25 410.95 0.00 -2,208.25 0.05 0.20 2.13
Tightness 0.62 0.69 0.65 0.65 87.72 0.00 -58.23 0.01 0.02 4.02
Tuples 493 607 560.36 560.00 75,649 MAX VALUE 854.27 20.12 0.04 4.02
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 5.17e+31 73.02 2.55 0.38 2.18
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: 14
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 3 36 12.48 8.00 312 3.61e+24 56.55 9.66 0.77 2.50
Cluster variables 3 16 8.28 6.00 207 3.45e+21 49.59 4.25 0.51 2.16
Separator constraints 0 30 7.08 3.00 177 0 None 8.72 1.23 2.24
Separator variables 0 15 6.68 5.00 167 0 None 4.17 0.62 2.23
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 12 189 64.00 48.50 2,432 MAX VALUE 149.45 43.16 0.67 3.40
Cluster variables 6 54 19.79 15.50 752 MAX VALUE 107.38 12.08 0.61 2.97
Separator constraints 0 120 40.16 33.00 1,526 0 None 27.04 0.67 3.32
Separator variables 0 42 16.24 13.50 617 0 None 9.26 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 1.00 0.26 0.19 10.24 0.00 None 0.22 0.85 2.92
Degree 2 12 6.75 6.00 270 5.17e+31 73.02 2.55 0.38 2.18
Eccentricity 3 4 3.25 3.00 130 2.16e+20 46.82 0.43 0.13 0.56
Triangulated primal graph
Density: 36.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.81 0.75 32.50 0.00 -8.95 0.15 0.18 2.77
Degree 2 27 14.35 15.00 574 MAX VALUE 95.38 8.81 0.61 2.78
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 10.02%
MCB compute time (ms): 182
MCB cycles: 920
Triangles: 2,044
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 70.10 0.00 -89.56 0.07 0.14 3.98
Degree 5 21 13.42 14.00 1,812 MAX VALUE 346.13 3.29 0.25 2.53
Eccentricity 3 4 3.34 3.00 451 MAX VALUE 161.55 0.47 0.14 0.64
MCB cycle size 3 5 3.25 3.00 2,986 MAX VALUE 1,073.35 0.52 0.16 0.61
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 41
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 162.81 0.67 0.20 1.01
Eccentricity 6 8 6.61 7.00 893 MAX VALUE 254.56 0.57 0.09 0.84
MCB cycle size 4 9 6.96 7.00 668 MAX VALUE 185.18 0.99 0.14 1.38
Triangulated dual graph
Density: 38.77%
Triangles: 57,422
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.81 0.78 109.82 0.00 -28.87 0.10 0.12 4.42
Degree 5 89 51.96 49.00 7,014 MAX VALUE 501.99 28.28 0.54 3.72
Eccentricity 2 3 2.60 3.00 351 MAX VALUE 126.42 0.49 0.19 0.67
Triangulated minimal dual graph
Density: 12.34%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.72 105.33 0.00 -36.56 0.17 0.21 3.07
Degree 2 52 16.53 6.00 2,232 MAX VALUE 298.65 17.07 1.03 2.99
Eccentricity 3 5 3.75 4.00 506 MAX VALUE 176.85 0.55 0.15 0.82
Incidence graph
Density: 1.77%
MCB compute time (ms): 46
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 166.60 2.34 0.76 0.98
Eccentricity 6 9 7.24 7.00 1,267 MAX VALUE 345.78 0.62 0.09 0.94
MCB cycle size 6 8 6.90 6.00 662 MAX VALUE 184.38 0.99 0.14 0.69