Instance: rand-2-40-11-414-200-38_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:40
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 8.81 9.00 80,256 MAX VALUE 19,706.90 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 246.64 0.00 -260.32 0.09 0.15 1.33
Tightness 0.10 0.29 0.20 0.20 82.36 0.00 -675.17 0.04 0.18 2.84
Tuples 86 109 96.93 97.00 40,128 MAX VALUE 1,893.22 4.24 0.04 2.84
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 27 20.70 21.00 828 MAX VALUE 120.77 2.99 0.14 2.38
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: 10
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 65 254 140.20 123.50 1,402 1.09e+21 48.44 62.64 0.45 2.30
Cluster variables 15 31 22.30 21.00 223 2.33e+13 30.78 5.16 0.23 2.16
Separator constraints 0 218 98.80 88.50 988 0 None 58.52 0.59 2.30
Separator variables 0 29 18.30 19.00 183 0 None 7.44 0.41 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 217 3,051 839.08 572.50 31,885 MAX VALUE 246.76 664.74 0.79 3.56
Cluster variables 29 252 76.82 50.50 2,919 MAX VALUE 157.70 54.59 0.71 3.49
Separator constraints 0 1,654 619.74 506.00 23,550 0 None 383.83 0.62 3.56
Separator variables 0 185 65.92 47.50 2,505 0 None 41.40 0.63 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 0.45 0.57 0.52 0.52 20.74 0.00 -26.34 0.03 0.05 3.62
Degree 14 27 20.70 21.00 828 MAX VALUE 120.77 2.99 0.14 2.38
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.91 36.47 0.02 -3.75 0.05 0.05 3.34
Degree 14 39 32.40 35.00 1,296 MAX VALUE 137.91 6.81 0.21 2.32
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): 26,915
MCB cycles: 8,135
Triangles: 55,772
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 0.56 0.51 0.50 209.48 0.00 -282.10 0.01 0.02 4.90
Degree 28 51 40.27 40.00 16,670 MAX VALUE 1,527.73 4.10 0.10 2.80
Eccentricity 2 3 2.99 3.00 1,239 MAX VALUE 453.61 0.08 0.03 0.04
MCB cycle size 3 4 3.00 3.00 24,427 MAX VALUE 8,943.54 0.05 0.02 0.02
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,683
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 0.83 0.00 None 0.02 12.17 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.77 0.87 0.23 1.20
Eccentricity 7 10 8.20 8.00 3,393 MAX VALUE 869.30 0.72 0.09 1.08
MCB cycle size 3 10 6.69 7.00 2,508 MAX VALUE 706.79 1.13 0.17 1.52
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: 9.68%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.78 340.31 0.00 -87.51 0.14 0.17 3.75
Degree 2 141 39.97 9.00 16,548 MAX VALUE 1,105.81 50.02 1.25 3.53
Eccentricity 3 6 4.26 4.00 1,764 MAX VALUE 595.81 0.60 0.14 0.91
Incidence graph
Density: 0.81%
MCB compute time (ms): 617
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 5.37 1.47 0.51
Eccentricity 5 6 5.91 6.00 2,681 MAX VALUE 805.62 0.29 0.05 0.31
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00