Instance: rand-2-40-80-103-800-33_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:57
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 29 15.99 16.00 263,462 MAX VALUE 45,236.00 3.60 0.22 2.70
Relational linkage 0.05 0.26 0.15 0.15 478.70 0.00 -6,147.74 0.03 0.20 2.29
Tightness 0.79 0.81 0.80 0.80 82.42 0.00 -22.96 0.00 0.01 4.16
Tuples 1,206 1,341 1,278.94 1,278.00 131,731 MAX VALUE 736.81 30.25 0.02 4.16
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 9 5.15 5.00 206 2.39e+27 63.04 1.75 0.34 1.89
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: 28
Number of leaves: 13
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 2 16 6.79 4.00 190 1.07e+21 48.42 4.13 0.61 1.99
Cluster variables 3 13 7.32 6.00 205 6.51e+22 52.53 3.49 0.48 2.09
Separator constraints 0 12 3.11 1.00 87 0 None 3.89 1.25 1.84
Separator variables 0 12 5.89 4.50 165 0 None 3.50 0.59 2.17
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
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 9 64 29.42 25.50 1,118 MAX VALUE 121.78 16.59 0.56 3.21
Cluster variables 6 35 14.11 12.00 536 MAX VALUE 95.35 7.89 0.56 2.74
Separator constraints 0 37 16.55 15.50 629 0 None 9.79 0.59 2.99
Separator variables 0 25 11.39 10.50 433 0 None 6.01 0.53 2.67
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 0.33 0.09 0.05 3.52 0.00 None 0.11 1.24 1.94
Degree 2 9 5.15 5.00 206 2.39e+27 63.04 1.75 0.34 1.89
Eccentricity 3 4 3.50 3.50 140 3.83e+21 49.70 0.50 0.14 0.69
Triangulated primal graph
Density: 31.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.80 0.77 31.84 0.00 -10.00 0.16 0.21 2.74
Degree 2 26 12.15 11.00 486 1.89e+38 88.13 8.01 0.66 2.77
Eccentricity 2 3 2.58 3.00 103 1.23e+16 37.05 0.49 0.19 0.68
Dual graph
Density: 9.31%
MCB compute time (ms): 153
MCB cycles: 396
Triangles: 725
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.71 0.49 0.47 50.78 0.00 -73.61 0.06 0.13 3.17
Degree 5 15 9.50 9.00 978 MAX VALUE 228.58 2.31 0.24 2.21
Eccentricity 3 4 3.81 4.00 392 MAX VALUE 137.03 0.40 0.10 0.49
MCB cycle size 3 6 3.20 3.00 1,268 MAX VALUE 456.63 0.53 0.16 0.53
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 26
MCB cycles: 64
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 3.22 3.00 332 MAX VALUE 118.47 0.64 0.20 0.97
Eccentricity 6 8 6.82 7.00 702 MAX VALUE 197.19 0.66 0.10 0.98
MCB cycle size 4 9 6.92 7.00 443 MAX VALUE 122.42 1.34 0.19 1.49
Triangulated dual graph
Density: 33.47%
Triangles: 18,252
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.80 0.80 82.08 0.00 -24.52 0.12 0.15 4.11
Degree 5 66 34.14 34.00 3,516 MAX VALUE 338.56 19.66 0.58 3.63
Eccentricity 2 4 2.79 3.00 287 MAX VALUE 104.00 0.45 0.16 0.63
Triangulated minimal dual graph
Density: 11.96%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.76 0.67 78.41 0.00 -31.32 0.19 0.25 2.90
Degree 2 38 12.19 5.00 1,256 MAX VALUE 206.56 11.99 0.98 2.81
Eccentricity 3 5 3.99 4.00 411 MAX VALUE 141.21 0.63 0.16 0.95
Incidence graph
Density: 2.03%
MCB compute time (ms): 38
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 9 2.88 2.00 412 MAX VALUE 134.44 1.69 0.59 1.08
Eccentricity 6 9 7.78 8.00 1,113 MAX VALUE 293.01 0.59 0.08 0.89
MCB cycle size 6 10 7.91 8.00 506 MAX VALUE 131.51 1.25 0.16 0.94