Instance: rand-2-40-40-135-650-16_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:45
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 3 25 14.02 14.00 151,372 MAX VALUE 28,240.70 3.06 0.22 2.54
Relational linkage 0.07 0.47 0.26 0.25 408.77 0.00 -2,216.86 0.05 0.20 2.12
Tightness 0.62 0.68 0.65 0.65 87.70 0.00 -58.26 0.01 0.02 4.00
Tuples 507 608 560.64 561.00 75,686 MAX VALUE 854.34 20.38 0.04 4.00
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 6.16e+31 73.20 2.35 0.35 2.07
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: 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 36 13.09 11.00 301 1.80e+22 51.24 10.19 0.78 2.67
Cluster variables 3 18 8.96 7.00 206 2.69e+20 47.04 4.70 0.53 2.37
Separator constraints 0 31 7.22 2.00 166 0 None 9.11 1.26 2.20
Separator variables 0 17 7.22 6.00 166 0 None 4.56 0.63 2.43
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 13 164 63.03 54.50 2,395 MAX VALUE 149.05 40.80 0.65 3.49
Cluster variables 7 58 20.24 16.00 769 MAX VALUE 108.06 12.46 0.62 3.07
Separator constraints 0 99 39.68 38.50 1,508 0 None 24.79 0.62 3.37
Separator variables 0 42 16.68 14.00 634 0 None 9.49 0.57 3.09
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 0.15 0.14 5.98 0.00 None 0.16 1.09 2.81
Degree 2 11 6.75 7.00 270 6.16e+31 73.20 2.35 0.35 2.07
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 40.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.83 0.78 33.19 0.00 -7.98 0.13 0.16 2.82
Degree 2 28 15.95 19.00 638 MAX VALUE 99.78 9.31 0.58 2.80
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.81%
MCB compute time (ms): 284
MCB cycles: 1,059
Triangles: 1,897
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 0.82 0.50 0.49 68.07 0.00 -93.39 0.07 0.13 3.77
Degree 6 20 13.14 13.00 1,774 MAX VALUE 343.84 2.99 0.23 2.43
Eccentricity 3 4 3.36 3.00 453 MAX VALUE 162.12 0.48 0.14 0.65
MCB cycle size 3 6 3.42 3.00 3,625 MAX VALUE 1,286.40 0.65 0.19 0.83
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 90
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 162.92 0.66 0.19 0.99
Eccentricity 6 8 6.69 7.00 903 MAX VALUE 256.14 0.52 0.08 0.76
MCB cycle size 4 9 6.97 7.00 669 MAX VALUE 184.71 1.21 0.17 1.48
Triangulated dual graph
Density: 40.52%
Triangles: 62,281
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.79 110.32 0.00 -28.27 0.10 0.12 4.36
Degree 6 90 54.30 56.00 7,330 MAX VALUE 508.97 28.83 0.53 3.63
Eccentricity 2 3 2.53 3.00 341 MAX VALUE 122.36 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.19%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.79 0.72 106.18 0.00 -35.48 0.17 0.21 3.02
Degree 2 51 16.34 6.00 2,206 MAX VALUE 296.30 16.98 1.04 2.91
Eccentricity 3 5 3.69 4.00 498 MAX VALUE 174.74 0.54 0.15 0.79
Incidence graph
Density: 1.77%
MCB compute time (ms): 95
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 166.77 2.29 0.74 0.93
Eccentricity 6 8 7.26 7.00 1,270 MAX VALUE 346.36 0.54 0.07 0.80
MCB cycle size 6 10 7.12 8.00 684 MAX VALUE 187.41 1.07 0.15 0.78