Instance: rand-2-40-11-414-200-45_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:33
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 8.78 9.00 79,980 MAX VALUE 19,674.20 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.55 0.55 242.64 0.00 -267.04 0.08 0.15 1.27
Tightness 0.11 0.35 0.20 0.20 83.50 0.00 -669.98 0.04 0.18 2.87
Tuples 79 108 96.59 97.00 39,990 MAX VALUE 1,891.75 4.47 0.05 2.87
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 28 20.70 20.00 828 MAX VALUE 120.65 3.49 0.17 2.51
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 74 239 147.91 140.00 1,627 2.96e+23 54.04 58.82 0.40 2.40
Cluster variables 16 30 22.64 22.00 249 6.16e+14 34.05 4.90 0.22 2.27
Separator constraints 0 207 110.27 108.00 1,213 0 None 61.50 0.56 2.40
Separator variables 0 28 19.00 20.00 209 0 None 7.40 0.39 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 215 3,287 850.71 583.50 32,327 MAX VALUE 246.66 701.56 0.82 3.64
Cluster variables 29 257 76.79 53.00 2,918 MAX VALUE 157.52 55.42 0.72 3.46
Separator constraints 0 1,771 629.68 499.00 23,928 0 None 415.95 0.66 3.64
Separator variables 0 187 65.89 50.50 2,504 0 None 42.18 0.64 3.49
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 0.43 0.59 0.53 0.54 21.35 0.00 -25.21 0.03 0.06 3.58
Degree 15 28 20.70 20.00 828 MAX VALUE 120.65 3.49 0.17 2.51
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.91 36.32 0.02 -3.93 0.05 0.06 3.16
Degree 15 39 32.20 35.00 1,288 MAX VALUE 137.67 6.86 0.21 2.51
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.82%
MCB compute time (ms): 26,234
MCB cycles: 8,424
Triangles: 57,232
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 0.55 0.51 0.51 210.60 0.00 -279.90 0.01 0.02 5.25
Degree 28 53 40.57 41.00 16,798 MAX VALUE 1,530.14 4.83 0.12 2.97
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.01 3.00 25,325 MAX VALUE 9,269.96 0.08 0.03 0.04
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,723
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.17 0.00 None 0.03 9.37 0.10
Degree 2 6 3.81 4.00 1,576 MAX VALUE 543.48 0.85 0.22 1.15
Eccentricity 7 10 8.17 8.00 3,381 MAX VALUE 868.10 0.65 0.08 0.99
MCB cycle size 3 10 6.64 7.00 2,489 MAX VALUE 703.16 1.18 0.18 1.54
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: 9.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.79 343.34 0.00 -83.65 0.14 0.17 3.65
Degree 2 138 39.94 8.00 16,536 MAX VALUE 1,101.19 50.29 1.26 3.43
Eccentricity 3 5 4.03 4.00 1,667 MAX VALUE 572.38 0.57 0.14 0.86
Incidence graph
Density: 0.81%
MCB compute time (ms): 665
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 28 3.65 2.00 1,656 MAX VALUE 407.61 5.40 1.48 0.52
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 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