Instance: rand-2-40-40-135-650-9_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:35
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,760
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 3 25 14.05 14.00 151,209 MAX VALUE 28,173.10 3.03 0.22 2.52
Relational linkage 0.07 0.40 0.25 0.25 396.80 0.00 -2,163.05 0.05 0.18 2.02
Tightness 0.62 0.67 0.65 0.65 87.57 0.00 -58.46 0.01 0.02 3.99
Tuples 523 607 562.13 562.00 75,887 MAX VALUE 854.70 19.56 0.03 3.99
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 13 6.90 6.00 269 7.23e+31 73.36 2.19 0.32 2.09
Partitions per subscope 40 40 40.00 40.00 1,560 MAX VALUE 143.87 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 11
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 1 30 12.58 9.00 302 2.67e+23 53.94 8.88 0.71 2.64
Cluster variables 2 17 8.83 7.00 212 2.58e+21 49.30 4.24 0.48 2.48
Separator constraints 0 25 6.96 3.00 167 0 None 7.94 1.14 2.46
Separator variables 0 15 7.17 6.00 172 0 None 4.16 0.58 2.48
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 6 155 60.66 52.00 2,305 MAX VALUE 146.46 40.39 0.67 3.53
Cluster variables 4 54 19.74 16.00 750 MAX VALUE 106.86 12.12 0.61 3.18
Separator constraints 0 91 37.32 33.50 1,418 0 None 24.50 0.66 3.53
Separator variables 0 39 16.18 14.00 615 0 None 9.24 0.57 3.01
Primal graph
Density: 17.31%
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 0.43 None 0.19 None None None None None 2.91
Degree 1 13 6.75 6.00 270 7.23e+31 73.36 2.35 0.35 2.15
Eccentricity 3 4 3.60 4.00 144 1.21e+22 50.85 0.49 0.14 0.67
Triangulated primal graph
Density: 39.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 None 0.79 None None None None None 3.02
Degree 1 28 15.40 16.00 616 MAX VALUE 99.16 8.94 0.58 2.75
Eccentricity 2 4 3.23 3.00 129 1.28e+20 46.30 0.52 0.16 0.77
Dual graph
Density: 9.81%
MCB compute time (ms): 299
MCB cycles: 813
Triangles: 1,941
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 0.51 0.49 68.42 0.00 -92.53 0.06 0.12 3.95
Degree 3 21 13.14 13.00 1,774 MAX VALUE 343.15 3.18 0.24 2.50
Eccentricity 3 4 3.55 4.00 479 MAX VALUE 169.60 0.50 0.14 0.69
MCB cycle size 3 5 3.14 3.00 2,553 MAX VALUE 925.52 0.37 0.12 0.42
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 58
MCB cycles: 96
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 0.72
Degree 1 5 3.41 3.00 460 MAX VALUE 162.47 0.68 0.20 1.02
Eccentricity 6 8 6.75 7.00 911 MAX VALUE 257.25 0.58 0.09 0.86
MCB cycle size 4 9 6.83 7.00 656 MAX VALUE 183.43 0.99 0.14 1.37
Triangulated dual graph
Density: 38.96%
Triangles: 57,440
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.81 0.80 109.76 0.00 -29.03 0.10 0.13 4.32
Degree 3 89 52.21 56.00 7,048 MAX VALUE 502.63 28.15 0.54 3.86
Eccentricity 2 3 2.44 2.00 330 MAX VALUE 117.90 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 None 0.75 None None None None None 3.33
Degree 1 49 16.04 7.00 2,166 MAX VALUE 295.88 16.57 1.03 3.00
Eccentricity 3 5 3.71 4.00 501 MAX VALUE 175.61 0.53 0.14 0.77
Incidence graph
Density: 1.77%
MCB compute time (ms): 64
MCB cycles: 96
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 13 3.09 2.00 540 MAX VALUE 166.93 2.29 0.74 1.03
Eccentricity 6 9 7.85 8.00 1,373 MAX VALUE 359.44 0.86 0.11 1.13
MCB cycle size 6 10 7.04 8.00 676 MAX VALUE 186.33 1.04 0.15 0.74