Instance: rand-2-40-80-103-800-39_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:06
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 35 16.01 16.00 263,920 MAX VALUE 45,268.20 3.61 0.23 2.70
Relational linkage 0.05 0.26 0.15 0.15 482.39 0.00 -6,120.25 0.03 0.20 2.28
Tightness 0.78 0.81 0.80 0.80 82.38 0.00 -23.01 0.01 0.01 4.13
Tuples 1,193 1,377 1,281.17 1,281.00 131,960 MAX VALUE 736.98 37.62 0.03 4.13
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 5.15 5.00 206 1.18e+27 62.33 2.07 0.40 1.93
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: 12
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 15 6.64 6.00 186 1.08e+21 48.43 3.62 0.54 2.35
Cluster variables 3 13 6.89 7.00 193 2.02e+22 51.36 2.99 0.43 2.24
Separator constraints 0 12 2.96 2.00 83 0 None 3.15 1.06 2.04
Separator variables 0 12 5.46 5.50 153 0 None 2.95 0.54 2.29
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 6 90 31.08 25.50 1,181 MAX VALUE 121.01 21.32 0.69 3.12
Cluster variables 5 35 13.95 11.00 530 MAX VALUE 94.51 7.99 0.57 2.75
Separator constraints 0 44 17.58 16.00 668 0 None 12.13 0.69 3.11
Separator variables 0 27 11.24 10.00 427 0 None 6.19 0.55 2.72
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 0.12 0.10 4.96 0.00 None 0.17 1.40 2.20
Degree 2 12 5.15 5.00 206 1.18e+27 62.33 2.07 0.40 1.93
Eccentricity 3 4 3.65 4.00 146 2.15e+22 51.42 0.48 0.13 0.65
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 0.78 0.72 31.08 0.00 -11.04 0.17 0.22 2.91
Degree 2 24 11.55 9.50 462 5.20e+37 86.84 7.46 0.65 2.83
Eccentricity 2 4 3.00 3.00 120 5.33e+18 43.12 0.59 0.20 0.89
Dual graph
Density: 9.77%
MCB compute time (ms): 82
MCB cycles: 449
Triangles: 878
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 0.85 0.50 0.49 51.62 0.00 -72.25 0.08 0.16 3.36
Degree 4 19 9.96 10.00 1,026 MAX VALUE 231.36 3.16 0.32 2.45
Eccentricity 3 5 3.88 4.00 400 MAX VALUE 139.14 0.40 0.10 0.54
MCB cycle size 3 6 3.24 3.00 1,453 MAX VALUE 522.21 0.54 0.17 0.60
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 24
MCB cycles: 65
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 118.48 0.62 0.19 0.93
Eccentricity 6 8 6.75 7.00 695 MAX VALUE 196.26 0.59 0.09 0.87
MCB cycle size 4 10 6.89 7.00 448 MAX VALUE 124.18 1.31 0.19 1.63
Triangulated dual graph
Density: 32.97%
Triangles: 17,803
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.80 0.78 82.08 0.00 -24.56 0.12 0.15 4.09
Degree 4 67 33.63 33.00 3,464 MAX VALUE 336.41 19.59 0.58 3.82
Eccentricity 2 3 2.66 3.00 274 MAX VALUE 98.97 0.47 0.18 0.64
Triangulated minimal dual graph
Density: 12.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.77 0.67 79.06 0.00 -30.47 0.19 0.25 2.89
Degree 2 37 12.37 6.00 1,274 MAX VALUE 207.50 12.08 0.98 2.81
Eccentricity 3 5 3.70 4.00 381 MAX VALUE 133.68 0.52 0.14 0.75
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 12 2.88 2.00 412 MAX VALUE 133.73 1.79 0.62 1.04
Eccentricity 7 10 7.95 8.00 1,137 MAX VALUE 296.04 0.63 0.08 0.92
MCB cycle size 6 12 7.59 8.00 486 MAX VALUE 128.92 1.23 0.16 0.89