Instance: rand-2-40-11-414-200-80_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:45
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 4 11 8.78 9.00 79,984 MAX VALUE 19,673.30 1.34 0.15 1.68
Relational linkage 0.36 0.73 0.55 0.55 243.09 0.00 -266.09 0.08 0.15 1.30
Tightness 0.09 0.30 0.20 0.20 83.49 0.00 -669.71 0.04 0.18 2.86
Tuples 85 110 96.60 97.00 39,992 MAX VALUE 1,891.80 4.33 0.04 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 27 20.70 21.00 828 MAX VALUE 120.80 2.93 0.14 2.40
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 11
Number of leaves: 6
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 76 240 139.18 109.00 1,531 1.55e+23 53.40 56.97 0.41 2.40
Cluster variables 16 30 22.00 20.00 242 4.52e+14 33.75 4.81 0.22 2.27
Separator constraints 0 205 101.55 84.00 1,117 0 None 56.65 0.56 2.40
Separator variables 0 28 18.36 18.00 202 0 None 7.10 0.39 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 247 3,208 845.71 579.50 32,137 MAX VALUE 246.94 681.71 0.81 3.56
Cluster variables 31 255 77.00 52.00 2,926 MAX VALUE 157.75 55.12 0.72 3.46
Separator constraints 0 1,644 626.58 508.50 23,810 0 None 397.35 0.63 3.53
Separator variables 0 182 66.11 47.50 2,512 0 None 41.83 0.63 3.46
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.61 0.54 0.53 21.45 0.00 -24.97 0.02 0.05 3.58
Degree 15 27 20.70 21.00 828 MAX VALUE 120.80 2.93 0.14 2.40
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.90 0.89 36.18 0.02 -4.09 0.05 0.06 3.25
Degree 15 39 31.85 35.00 1,274 MAX VALUE 137.15 6.99 0.22 2.43
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.74%
MCB compute time (ms): 23,827
MCB cycles: 7,938
Triangles: 55,713
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.54 0.51 0.50 209.78 0.00 -281.48 0.01 0.01 5.00
Degree 30 50 40.23 40.00 16,654 MAX VALUE 1,527.57 3.91 0.10 2.76
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.00 3.00 23,815 MAX VALUE 8,721.07 0.01 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,137
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 11.94 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 541.74 0.93 0.24 1.24
Eccentricity 7 10 8.34 8.00 3,452 MAX VALUE 876.38 0.74 0.09 1.12
MCB cycle size 3 9 6.55 7.00 2,455 MAX VALUE 698.13 1.16 0.18 1.55
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 9.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.82 0.79 341.19 0.00 -86.25 0.14 0.17 3.73
Degree 2 140 40.00 7.00 16,560 MAX VALUE 1,100.99 50.36 1.26 3.44
Eccentricity 3 5 3.93 4.00 1,625 MAX VALUE 561.78 0.56 0.14 0.83
Incidence graph
Density: 0.81%
MCB compute time (ms): 627
MCB cycles: 375
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 27 3.65 2.00 1,656 MAX VALUE 407.77 5.37 1.47 0.51
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00