Instance: rand-2-40-11-414-200-14_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:47
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 8.80 9.00 80,132 MAX VALUE 19,694.40 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 246.64 0.00 -259.71 0.08 0.14 1.27
Tightness 0.09 0.31 0.20 0.20 82.88 0.00 -673.30 0.04 0.18 2.88
Tuples 83 110 96.78 97.00 40,066 MAX VALUE 1,892.55 4.42 0.05 2.88
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 27 20.70 21.00 828 MAX VALUE 120.65 3.36 0.16 2.51
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: 4
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 50 251 163.36 160.00 1,797 5.47e+23 54.66 69.30 0.42 2.40
Cluster variables 14 30 23.64 24.00 260 8.80e+14 34.41 5.74 0.24 2.02
Separator constraints 0 216 125.73 139.00 1,383 0 None 74.45 0.59 2.40
Separator variables 0 28 20.00 23.00 220 0 None 8.30 0.42 2.02
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 2,971 828.68 562.50 31,490 MAX VALUE 246.47 641.10 0.77 3.60
Cluster variables 29 246 75.82 52.50 2,881 MAX VALUE 157.34 53.14 0.70 3.42
Separator constraints 0 1,639 608.13 479.50 23,109 0 None 370.05 0.61 3.60
Separator variables 0 181 64.92 49.00 2,467 0 None 40.26 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 0.47 0.60 0.53 0.54 21.33 0.00 -25.20 0.03 0.06 3.62
Degree 13 27 20.70 21.00 828 MAX VALUE 120.65 3.36 0.16 2.51
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.86 1.00 0.92 0.92 36.67 0.03 -3.52 0.04 0.05 3.16
Degree 13 38 32.75 35.00 1,310 MAX VALUE 138.38 6.59 0.20 2.37
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.80%
MCB compute time (ms): 12,386
MCB cycles: 8,414
Triangles: 56,727
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 0.57 0.51 0.50 210.17 0.00 -280.74 0.01 0.02 5.12
Degree 28 52 40.49 41.00 16,762 MAX VALUE 1,529.44 4.61 0.11 2.92
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 25,292 MAX VALUE 9,258.11 0.08 0.03 0.04
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,832
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 9 7.99 8.00 3,309 MAX VALUE 859.03 0.67 0.08 1.01
MCB cycle size 4 10 6.71 7.00 2,517 MAX VALUE 706.70 1.26 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: 10.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 344.34 0.00 -82.00 0.14 0.16 3.82
Degree 2 144 42.29 9.00 17,508 MAX VALUE 1,119.59 52.81 1.25 3.48
Eccentricity 3 5 3.73 4.00 1,545 MAX VALUE 541.02 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 672
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 407.61 5.39 1.48 0.52
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