Instance: rand-2-40-11-414-200-99_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 4 11 8.78 9.00 79,988 MAX VALUE 19,672.90 1.34 0.15 1.68
Relational linkage 0.36 0.73 0.55 0.55 242.64 0.00 -266.86 0.08 0.15 1.29
Tightness 0.09 0.31 0.20 0.20 83.47 0.00 -670.87 0.04 0.19 2.93
Tuples 83 110 96.60 97.00 39,994 MAX VALUE 1,891.75 4.66 0.05 2.93
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 26 20.70 21.00 828 MAX VALUE 120.83 2.77 0.13 2.33
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 60 244 151.36 135.00 1,665 3.15e+23 54.11 63.48 0.42 2.40
Cluster variables 15 30 23.18 22.00 255 7.56e+14 34.26 5.41 0.23 1.97
Separator constraints 0 222 113.73 113.00 1,251 0 None 67.15 0.59 2.40
Separator variables 0 29 19.55 21.00 215 0 None 7.92 0.41 2.15
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 231 2,748 842.08 566.50 31,999 MAX VALUE 247.06 655.88 0.78 3.64
Cluster variables 30 236 76.66 49.50 2,913 MAX VALUE 157.72 53.96 0.70 3.40
Separator constraints 0 1,603 623.42 475.00 23,690 0 None 385.62 0.62 3.60
Separator variables 0 179 65.76 47.50 2,499 0 None 40.94 0.62 3.37
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 0.48 0.58 0.53 0.54 21.39 0.00 -25.08 0.02 0.04 3.52
Degree 14 26 20.70 21.00 828 MAX VALUE 120.83 2.77 0.13 2.33
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.91 0.91 36.51 0.02 -3.71 0.05 0.05 3.15
Degree 14 38 32.50 35.00 1,300 MAX VALUE 138.04 6.80 0.21 2.26
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): 8,811
MCB cycles: 8,723
Triangles: 55,303
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.55 0.51 0.50 209.42 0.00 -282.20 0.01 0.02 4.91
Degree 29 49 40.14 40.00 16,618 MAX VALUE 1,526.84 3.69 0.09 2.70
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.02 3.00 26,303 MAX VALUE 9,621.74 0.12 0.04 0.08
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,320
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 542.28 0.90 0.24 1.21
Eccentricity 6 10 8.10 8.00 3,355 MAX VALUE 864.59 0.71 0.09 1.07
MCB cycle size 3 9 6.67 7.00 2,502 MAX VALUE 705.54 1.15 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: 9.81%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.83 0.80 342.33 0.00 -84.75 0.14 0.17 3.76
Degree 2 138 40.51 8.00 16,772 MAX VALUE 1,104.99 51.05 1.26 3.45
Eccentricity 3 5 3.77 4.00 1,560 MAX VALUE 544.89 0.53 0.14 0.79
Incidence graph
Density: 0.81%
MCB compute time (ms): 537
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 407.79 5.36 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