Instance: rand-2-40-11-414-200-1_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:38
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 8.77 9.00 79,854 MAX VALUE 19,658.20 1.34 0.15 1.68
Relational linkage 0.27 0.73 0.55 0.55 241.82 0.00 -268.46 0.08 0.15 1.30
Tightness 0.10 0.34 0.20 0.20 84.02 0.00 -666.93 0.04 0.18 2.85
Tuples 80 109 96.44 97.00 39,927 MAX VALUE 1,891.10 4.40 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 12 26 20.70 20.00 828 MAX VALUE 120.82 2.76 0.13 2.25
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: 9
Number of leaves: 5
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 47 270 150.44 127.00 1,354 1.33e+19 44.04 70.48 0.47 2.20
Cluster variables 13 32 22.78 22.00 205 1.22e+12 27.83 5.81 0.25 1.89
Separator constraints 0 231 104.44 92.00 940 0 None 66.26 0.63 2.20
Separator variables 0 30 18.33 19.00 165 0 None 8.07 0.44 1.89
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 190 2,938 826.97 563.50 31,425 MAX VALUE 246.76 632.67 0.77 3.53
Cluster variables 27 241 76.26 49.00 2,898 MAX VALUE 157.62 53.35 0.70 3.46
Separator constraints 0 1,518 608.34 494.00 23,117 0 None 361.59 0.59 3.53
Separator variables 0 178 65.37 46.00 2,484 0 None 40.44 0.62 3.46
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 0.49 0.59 0.53 0.53 21.24 0.00 -25.36 0.03 0.05 3.55
Degree 12 26 20.70 20.00 828 MAX VALUE 120.82 2.76 0.13 2.25
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.86 1.00 0.92 0.91 36.84 0.04 -3.33 0.04 0.05 3.15
Degree 12 38 33.05 36.00 1,322 MAX VALUE 138.79 6.59 0.20 2.09
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.72%
MCB compute time (ms): 25,088
MCB cycles: 8,359
Triangles: 55,238
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 0.57 0.51 0.50 209.26 0.00 -282.53 0.01 0.02 4.72
Degree 26 49 40.14 40.00 16,616 MAX VALUE 1,526.76 3.70 0.09 2.68
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.01 3.00 25,136 MAX VALUE 9,200.27 0.08 0.03 0.04
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,795
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 11.94 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 541.88 0.93 0.24 1.20
Eccentricity 7 10 8.09 8.00 3,351 MAX VALUE 864.32 0.67 0.08 1.01
MCB cycle size 3 10 6.57 7.00 2,463 MAX VALUE 699.74 1.14 0.17 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: 9.70%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.78 342.29 0.00 -84.52 0.14 0.17 3.72
Degree 2 133 40.06 8.00 16,584 MAX VALUE 1,100.44 50.66 1.26 3.36
Eccentricity 3 5 3.75 4.00 1,552 MAX VALUE 542.65 0.54 0.14 0.79
Incidence graph
Density: 0.81%
MCB compute time (ms): 678
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 26 3.65 2.00 1,656 MAX VALUE 407.78 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