Instance: rand-2-40-11-414-200-56_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:30
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 80,000 MAX VALUE 19,677.70 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.55 0.55 243.64 0.00 -265.63 0.08 0.15 1.31
Tightness 0.12 0.35 0.20 0.21 83.42 0.00 -670.16 0.04 0.18 2.85
Tuples 79 107 96.62 96.00 40,000 MAX VALUE 1,891.87 4.39 0.05 2.85
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 27 20.70 20.50 828 MAX VALUE 120.77 3.03 0.15 2.32
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: 7
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 63 239 142.18 123.00 1,564 1.71e+23 53.50 60.51 0.43 2.40
Cluster variables 16 30 22.27 21.00 245 5.08e+14 33.86 5.05 0.23 2.02
Separator constraints 0 221 104.55 98.00 1,150 0 None 61.70 0.59 2.40
Separator variables 0 29 18.64 19.00 205 0 None 7.36 0.40 2.15
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 229 2,884 839.74 570.00 31,910 MAX VALUE 246.84 656.45 0.78 3.48
Cluster variables 30 243 76.76 50.50 2,917 MAX VALUE 157.68 54.50 0.71 3.43
Separator constraints 0 1,639 620.29 489.00 23,571 0 None 381.68 0.62 3.48
Separator variables 0 187 65.87 47.50 2,503 0 None 41.52 0.63 3.43
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 0.46 0.59 0.52 0.52 20.96 0.00 -25.94 0.03 0.06 3.48
Degree 15 27 20.70 20.50 828 MAX VALUE 120.77 3.03 0.15 2.32
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.90 36.28 0.02 -3.98 0.05 0.06 3.16
Degree 15 39 32.00 35.00 1,280 MAX VALUE 137.34 7.01 0.22 2.39
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.75%
MCB compute time (ms): 7,971
MCB cycles: 8,452
Triangles: 55,912
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 0.54 0.51 0.50 209.73 0.00 -281.59 0.01 0.02 5.00
Degree 29 51 40.28 40.00 16,678 MAX VALUE 1,527.96 4.08 0.10 2.79
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 25,412 MAX VALUE 9,301.58 0.08 0.03 0.04
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,783
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 542.89 0.88 0.23 1.20
Eccentricity 6 10 8.16 8.00 3,379 MAX VALUE 867.87 0.64 0.08 0.98
MCB cycle size 4 10 6.60 7.00 2,476 MAX VALUE 700.75 1.24 0.19 1.61
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: 9.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 343.05 0.00 -83.90 0.14 0.17 3.76
Degree 2 139 40.67 8.50 16,838 MAX VALUE 1,107.83 51.04 1.25 3.48
Eccentricity 3 5 3.78 4.00 1,563 MAX VALUE 545.95 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 668
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 407.73 5.38 1.47 0.50
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