Instance: rand-2-40-80-103-800-81_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:02
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: 16,400
Number of unique subscopes: 39
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 31 15.96 16.00 261,821 MAX VALUE 44,997.20 3.58 0.22 2.69
Relational linkage 0.05 0.26 0.15 0.15 467.62 0.00 -5,991.96 0.03 0.21 2.32
Tightness 0.79 0.81 0.80 0.80 82.44 0.00 -22.93 0.00 0.01 4.16
Tuples 1,193 1,359 1,277.31 1,283.00 131,563 MAX VALUE 736.68 30.65 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 10 5.26 5.00 205 3.90e+26 61.23 2.03 0.39 1.86
Partitions per subscope 80 80 80.00 80.00 3,120 MAX VALUE 170.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
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 1 13 6.28 6.00 182 5.54e+20 47.76 3.40 0.54 2.35
Cluster variables 2 12 6.38 6.00 185 6.02e+21 50.15 3.11 0.49 2.15
Separator constraints 0 11 2.72 2.00 79 0 None 3.00 1.10 2.01
Separator variables 0 11 5.00 4.00 145 0 None 3.07 0.61 2.20
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 6 69 31.71 26.50 1,205 MAX VALUE 125.03 17.23 0.54 3.13
Cluster variables 4 37 13.89 11.50 528 MAX VALUE 94.59 7.92 0.57 2.87
Separator constraints 0 36 18.11 15.00 688 0 None 10.08 0.56 3.00
Separator variables 0 27 11.18 9.50 425 0 None 6.09 0.54 2.87
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 1.00 None 0.17 None None None None None 2.62
Degree 1 10 5.15 5.00 206 3.90e+26 61.23 2.12 0.41 1.93
Eccentricity 3 5 3.95 4.00 158 5.25e+23 54.62 0.50 0.13 0.73
Triangulated primal graph
Density: 27.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 None 0.73 None None None None None 2.90
Degree 1 25 10.55 7.50 422 1.08e+35 80.67 7.47 0.71 2.83
Eccentricity 2 4 3.25 3.00 130 1.71e+20 46.59 0.54 0.16 0.79
Dual graph
Density: 9.84%
MCB compute time (ms): 147
MCB cycles: 431
Triangles: 857
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 1.00 0.52 0.50 53.80 0.00 -68.14 0.09 0.17 3.25
Degree 3 17 10.04 10.00 1,034 MAX VALUE 233.62 2.61 0.26 2.35
Eccentricity 3 4 3.90 4.00 402 MAX VALUE 139.91 0.30 0.08 0.32
MCB cycle size 3 6 3.15 3.00 1,357 MAX VALUE 490.99 0.44 0.14 0.44
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 39
MCB cycles: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.05 6.01 0.15
Degree 2 5 3.22 3.00 332 MAX VALUE 118.23 0.67 0.21 1.01
Eccentricity 6 8 6.81 7.00 701 MAX VALUE 197.26 0.48 0.07 0.70
MCB cycle size 3 10 6.55 7.00 419 MAX VALUE 119.06 1.24 0.19 1.50
Triangulated dual graph
Density: 32.88%
Triangles: 17,991
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.60 1.00 0.80 0.77 82.40 0.00 -24.12 0.12 0.15 3.97
Degree 3 64 33.53 33.00 3,454 MAX VALUE 335.08 20.10 0.60 3.57
Eccentricity 2 3 2.56 3.00 264 MAX VALUE 94.91 0.50 0.19 0.69
Triangulated minimal dual graph
Density: 11.73%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.76 0.67 77.93 0.00 -31.78 0.18 0.24 2.78
Degree 2 39 11.96 5.00 1,232 MAX VALUE 205.08 11.76 0.98 2.76
Eccentricity 3 5 4.12 4.00 424 MAX VALUE 144.50 0.63 0.15 0.94
Incidence graph
Density: 2.03%
MCB compute time (ms): 55
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 None 0.00 None None None None None 0.53
Degree 1 10 2.88 2.00 412 MAX VALUE 132.62 1.80 0.63 0.97
Eccentricity 7 10 8.27 8.00 1,183 MAX VALUE 301.65 0.69 0.08 1.05
MCB cycle size 6 10 7.19 8.00 460 MAX VALUE 125.41 1.16 0.16 0.85