Instance: rand-2-40-11-414-200-53_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:29
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 3 11 8.80 9.00 80,180 MAX VALUE 19,699.40 1.32 0.15 1.66
Relational linkage 0.27 0.73 0.56 0.55 244.64 0.00 -263.72 0.08 0.15 1.33
Tightness 0.11 0.31 0.20 0.20 82.68 0.00 -673.42 0.03 0.17 2.82
Tuples 83 108 96.84 97.00 40,090 MAX VALUE 1,892.83 4.23 0.04 2.82
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 16 27 20.70 20.00 828 MAX VALUE 120.85 2.78 0.13 2.24
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 11
Number of leaves: 6
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 86 242 156.46 122.00 1,721 5.74e+23 54.71 62.58 0.40 2.27
Cluster variables 18 30 23.45 21.00 258 9.31e+14 34.47 4.94 0.21 1.85
Separator constraints 0 229 118.82 93.00 1,307 0 None 68.96 0.58 2.40
Separator variables 0 29 19.82 19.00 218 0 None 7.71 0.39 2.02
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 263 2,937 834.87 568.00 31,725 MAX VALUE 246.82 652.30 0.78 3.49
Cluster variables 32 239 76.63 50.00 2,912 MAX VALUE 157.72 53.93 0.70 3.42
Separator constraints 0 1,566 616.18 509.50 23,415 0 None 377.53 0.61 3.46
Separator variables 0 181 65.74 47.00 2,498 0 None 40.97 0.62 3.38
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.64 0.53 0.53 21.27 0.00 -25.35 0.04 0.07 3.55
Degree 16 27 20.70 20.00 828 MAX VALUE 120.85 2.78 0.13 2.24
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.91 0.91 36.50 0.02 -3.73 0.05 0.05 3.10
Degree 17 39 32.65 35.00 1,306 MAX VALUE 138.36 6.58 0.20 2.36
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.72%
MCB compute time (ms): 67,224
MCB cycles: 7,925
Triangles: 55,389
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.53 0.51 0.50 209.32 0.00 -282.39 0.01 0.01 4.98
Degree 31 50 40.14 40.00 16,620 MAX VALUE 1,526.69 3.94 0.10 2.76
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 23,775 MAX VALUE 8,706.50 0.00 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,509
MCB cycles: 375
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 6 3.81 4.00 1,576 MAX VALUE 542.17 0.91 0.24 1.23
Eccentricity 6 10 8.27 8.00 3,422 MAX VALUE 872.83 0.72 0.09 1.09
MCB cycle size 4 9 6.58 7.00 2,469 MAX VALUE 699.25 1.26 0.19 1.60
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 10.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.83 0.80 342.25 0.00 -84.71 0.14 0.17 3.68
Degree 2 139 41.39 9.00 17,134 MAX VALUE 1,109.88 51.92 1.25 3.42
Eccentricity 3 6 4.52 5.00 1,873 MAX VALUE 621.44 0.58 0.13 0.86
Incidence graph
Density: 0.81%
MCB compute time (ms): 934
MCB cycles: 375
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 27 3.65 2.00 1,656 MAX VALUE 407.81 5.36 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00