Instance: rand-2-40-80-103-800-37_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: 16,400
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 32 15.99 16.00 262,199 MAX VALUE 45,037.30 3.54 0.22 2.68
Relational linkage 0.05 0.29 0.15 0.15 470.45 0.00 -5,963.26 0.03 0.19 2.26
Tightness 0.79 0.81 0.80 0.80 82.42 0.00 -22.96 0.00 0.01 4.09
Tuples 1,202 1,355 1,278.89 1,277.00 131,726 MAX VALUE 736.81 29.67 0.02 4.09
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 5.26 5.00 205 1.23e+27 62.38 1.75 0.33 1.92
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: 27
Number of leaves: 13
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 1 15 5.96 5.00 161 7.99e+18 43.52 3.52 0.59 2.25
Cluster variables 2 14 6.67 5.00 180 1.07e+21 48.42 3.04 0.46 2.20
Separator constraints 0 12 2.15 1.00 58 0 None 2.99 1.39 1.71
Separator variables 0 12 5.19 4.00 140 0 None 2.87 0.55 2.20
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 7 64 30.29 25.00 1,151 MAX VALUE 122.50 17.41 0.57 3.21
Cluster variables 6 35 14.08 11.50 535 MAX VALUE 95.32 7.91 0.56 2.84
Separator constraints 0 35 17.24 15.50 655 0 None 10.54 0.61 3.05
Separator variables 0 27 11.37 10.00 432 0 None 6.14 0.54 2.82
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 None 0.10 None None None None None 2.39
Degree 1 9 5.15 5.00 206 1.23e+27 62.38 1.85 0.36 1.98
Eccentricity 3 4 3.60 4.00 144 1.21e+22 50.85 0.49 0.14 0.67
Triangulated primal graph
Density: 29.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 None 0.77 None None None None None 3.04
Degree 1 25 11.55 9.00 462 1.43e+37 85.56 7.85 0.68 2.71
Eccentricity 2 4 2.88 3.00 115 1.26e+18 41.68 0.46 0.16 0.65
Dual graph
Density: 9.44%
MCB compute time (ms): 90
MCB cycles: 420
Triangles: 757
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 1.00 0.50 0.48 51.60 0.00 -72.16 0.08 0.15 3.21
Degree 5 15 9.63 10.00 992 MAX VALUE 230.16 2.30 0.24 2.18
Eccentricity 3 4 3.86 4.00 398 MAX VALUE 138.76 0.34 0.09 0.40
MCB cycle size 3 5 3.24 3.00 1,359 MAX VALUE 488.15 0.56 0.17 0.57
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 24
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 4 3.22 3.00 332 MAX VALUE 118.60 0.61 0.19 0.91
Eccentricity 6 8 6.68 7.00 688 MAX VALUE 195.26 0.54 0.08 0.80
MCB cycle size 4 9 7.00 7.00 448 MAX VALUE 123.20 1.36 0.19 1.66
Triangulated dual graph
Density: 32.99%
Triangles: 17,823
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.80 0.78 82.24 0.00 -24.38 0.12 0.15 4.03
Degree 5 66 33.65 36.00 3,466 MAX VALUE 336.86 19.55 0.58 3.65
Eccentricity 2 3 2.66 3.00 274 MAX VALUE 98.97 0.47 0.18 0.64
Triangulated minimal dual graph
Density: 12.39%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.76 0.67 78.72 0.00 -30.66 0.18 0.24 2.87
Degree 2 37 12.64 6.00 1,302 MAX VALUE 209.41 12.42 0.98 2.78
Eccentricity 3 5 4.18 4.00 431 MAX VALUE 146.19 0.63 0.15 0.95
Incidence graph
Density: 2.03%
MCB compute time (ms): 35
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 0.49
Degree 1 9 2.88 2.00 412 MAX VALUE 133.77 1.72 0.60 1.08
Eccentricity 7 9 7.92 8.00 1,133 MAX VALUE 295.59 0.58 0.07 0.87
MCB cycle size 6 10 7.72 8.00 494 MAX VALUE 129.91 1.27 0.16 0.95