Instance: rand-2-40-80-103-800-97_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:49
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: 16,320
Number of unique subscopes: 38
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 3 32 15.98 16.00 260,734 MAX VALUE 44,797.10 3.55 0.22 2.68
Relational linkage 0.04 0.26 0.15 0.15 456.09 0.00 -5,831.18 0.03 0.20 2.29
Tightness 0.79 0.81 0.80 0.80 82.43 0.00 -22.94 0.01 0.01 4.17
Tuples 1,201 1,363 1,277.89 1,277.00 131,623 MAX VALUE 736.72 32.64 0.03 4.17
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 12 5.37 5.00 204 2.22e+26 60.66 2.19 0.41 2.03
Partitions per subscope 80 80 80.00 80.00 3,040 MAX VALUE 166.52 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 17 6.86 6.00 199 1.42e+21 48.71 4.45 0.65 2.37
Cluster variables 2 12 6.52 6.00 189 1.16e+22 50.80 3.07 0.47 2.30
Separator constraints 0 14 3.31 1.00 96 0 None 4.03 1.22 2.01
Separator variables 0 11 5.14 4.00 149 0 None 3.05 0.59 2.37
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 6 105 33.61 24.00 1,277 MAX VALUE 123.37 25.21 0.75 3.35
Cluster variables 5 42 14.11 11.00 536 MAX VALUE 94.26 8.90 0.63 2.94
Separator constraints 0 62 19.47 13.50 740 0 None 14.94 0.77 3.20
Separator variables 0 30 11.39 9.00 433 0 None 6.92 0.61 2.83
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 0.10 None None None None None 2.61
Degree 1 12 5.15 5.00 206 2.22e+26 60.66 2.34 0.45 2.12
Eccentricity 3 5 3.80 4.00 152 1.06e+23 53.02 0.51 0.13 0.75
Triangulated primal graph
Density: 27.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.38 1.00 None 0.74 None None None None None 3.05
Degree 1 28 10.75 9.00 430 2.17e+35 81.37 7.65 0.71 2.91
Eccentricity 2 4 3.33 3.00 133 4.04e+20 47.45 0.57 0.17 0.84
Dual graph
Density: 10.22%
MCB compute time (ms): 144
MCB cycles: 445
Triangles: 979
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 0.53 0.50 54.12 0.00 -68.01 0.11 0.20 3.41
Degree 4 20 10.43 10.00 1,074 MAX VALUE 236.58 3.11 0.30 2.48
Eccentricity 3 4 3.66 4.00 377 MAX VALUE 132.72 0.47 0.13 0.64
MCB cycle size 3 6 3.14 3.00 1,397 MAX VALUE 506.03 0.41 0.13 0.42
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 1.00 0.03 0.00 3.17 0.00 None 0.14 4.64 0.34
Degree 2 5 3.22 3.00 332 MAX VALUE 117.71 0.72 0.22 1.07
Eccentricity 6 8 6.67 7.00 687 MAX VALUE 195.10 0.55 0.08 0.80
MCB cycle size 3 10 6.97 7.00 446 MAX VALUE 122.73 1.35 0.19 1.53
Triangulated dual graph
Density: 35.35%
Triangles: 21,661
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.81 0.78 83.37 0.00 -22.60 0.10 0.13 4.14
Degree 4 64 36.06 41.00 3,714 MAX VALUE 341.15 21.37 0.59 3.53
Eccentricity 2 3 2.56 3.00 264 MAX VALUE 94.91 0.50 0.19 0.69
Triangulated minimal dual graph
Density: 11.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.76 0.67 77.82 0.00 -32.01 0.19 0.25 2.89
Degree 2 38 11.92 5.00 1,228 MAX VALUE 202.39 11.88 1.00 2.80
Eccentricity 3 5 3.84 4.00 396 MAX VALUE 137.47 0.59 0.15 0.88
Incidence graph
Density: 2.03%
MCB compute time (ms): 37
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 0.39
Degree 1 12 2.88 2.00 412 MAX VALUE 132.06 1.88 0.65 1.09
Eccentricity 6 10 7.94 8.00 1,136 MAX VALUE 295.65 0.79 0.10 1.16
MCB cycle size 6 12 7.56 8.00 484 MAX VALUE 128.50 1.34 0.18 0.98