Instance: rand-2-40-11-414-200-13_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:48
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 8.79 9.00 80,058 MAX VALUE 19,685.40 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 246.36 0.00 -259.49 0.08 0.13 1.21
Tightness 0.11 0.31 0.20 0.20 83.18 0.00 -671.39 0.04 0.18 2.86
Tuples 84 108 96.69 97.00 40,029 MAX VALUE 1,892.17 4.37 0.05 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 26 20.70 21.00 828 MAX VALUE 120.79 2.97 0.14 2.30
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 76 238 130.18 101.00 1,432 8.42e+22 52.79 51.40 0.39 2.27
Cluster variables 16 30 21.45 19.00 236 3.55e+14 33.50 4.42 0.21 2.10
Separator constraints 0 191 92.55 83.00 1,018 0 None 47.71 0.52 2.27
Separator variables 0 27 17.82 18.00 196 0 None 6.63 0.37 2.10
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 247 3,140 838.58 567.00 31,866 MAX VALUE 246.75 666.63 0.79 3.64
Cluster variables 31 251 76.58 51.00 2,910 MAX VALUE 157.63 54.38 0.71 3.31
Separator constraints 0 1,636 619.32 497.50 23,534 0 None 386.59 0.62 3.60
Separator variables 0 177 65.68 48.00 2,496 0 None 41.13 0.63 3.38
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 0.58 0.52 0.52 20.95 0.00 -25.93 0.03 0.06 3.52
Degree 15 26 20.70 21.00 828 MAX VALUE 120.79 2.97 0.14 2.30
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 80.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.90 0.89 36.03 0.01 -4.26 0.06 0.07 3.21
Degree 15 38 31.55 35.00 1,262 MAX VALUE 136.72 7.13 0.23 2.32
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.75%
MCB compute time (ms): 32,992
MCB cycles: 8,041
Triangles: 55,785
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 0.50 209.62 0.00 -281.81 0.01 0.02 4.89
Degree 30 50 40.25 40.00 16,664 MAX VALUE 1,527.66 4.06 0.10 2.78
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.00 3.00 24,134 MAX VALUE 8,837.11 0.04 0.01 0.01
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,420
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 542.25 0.90 0.24 1.21
Eccentricity 7 10 8.22 8.00 3,404 MAX VALUE 870.83 0.68 0.08 1.03
MCB cycle size 4 10 6.53 7.00 2,448 MAX VALUE 694.91 1.34 0.21 1.66
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 0.47 1.00 0.82 0.79 341.48 0.00 -85.76 0.14 0.17 3.80
Degree 2 136 40.68 9.00 16,842 MAX VALUE 1,106.18 51.32 1.26 3.39
Eccentricity 3 5 3.78 4.00 1,566 MAX VALUE 546.49 0.53 0.14 0.79
Incidence graph
Density: 0.81%
MCB compute time (ms): 498
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 407.75 5.37 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