Instance: rand-2-40-11-414-200-83_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:45
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 8.83 9.00 80,440 MAX VALUE 19,730.60 1.32 0.15 1.67
Relational linkage 0.36 0.73 0.56 0.55 246.64 0.00 -259.05 0.08 0.14 1.21
Tightness 0.09 0.31 0.20 0.20 81.60 0.00 -680.17 0.04 0.19 2.90
Tuples 84 110 97.15 97.00 40,220 MAX VALUE 1,894.12 4.50 0.05 2.90
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 27 20.70 21.00 828 MAX VALUE 120.82 2.89 0.14 2.26
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 74 242 151.64 114.00 1,668 3.61e+23 54.24 63.62 0.42 2.40
Cluster variables 16 30 22.73 20.00 250 6.22e+14 34.06 5.29 0.23 1.97
Separator constraints 0 223 114.00 93.00 1,254 0 None 67.48 0.59 2.40
Separator variables 0 29 19.09 18.00 210 0 None 7.69 0.40 2.10
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 266 2,864 827.55 565.50 31,447 MAX VALUE 246.71 632.52 0.76 3.64
Cluster variables 32 240 75.87 53.00 2,883 MAX VALUE 157.53 52.45 0.69 3.37
Separator constraints 0 1,457 608.53 486.00 23,124 0 None 364.60 0.60 3.64
Separator variables 0 169 64.97 48.00 2,469 0 None 39.51 0.61 3.44
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 0.63 0.54 0.53 21.57 0.00 -24.79 0.03 0.06 3.58
Degree 15 27 20.70 21.00 828 MAX VALUE 120.82 2.89 0.14 2.26
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.91 36.40 0.02 -3.83 0.05 0.06 3.18
Degree 15 39 32.25 35.00 1,290 MAX VALUE 137.72 6.85 0.21 2.34
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.74%
MCB compute time (ms): 11,874
MCB cycles: 8,071
Triangles: 55,660
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 0.50 209.71 0.00 -281.61 0.01 0.01 4.91
Degree 31 52 40.21 40.00 16,646 MAX VALUE 1,527.35 3.94 0.10 2.76
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 3 3.00 3.00 24,213 MAX VALUE 8,866.90 0.00 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,588
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 542.98 0.88 0.23 1.20
Eccentricity 6 10 8.08 8.00 3,345 MAX VALUE 863.27 0.74 0.09 1.11
MCB cycle size 4 9 6.64 7.00 2,490 MAX VALUE 702.46 1.27 0.19 1.62
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: 9.93%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.83 0.80 343.62 0.00 -83.16 0.14 0.17 3.76
Degree 2 140 41.01 9.00 16,980 MAX VALUE 1,108.37 51.68 1.26 3.41
Eccentricity 3 5 3.79 4.00 1,567 MAX VALUE 546.97 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 491
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 407.78 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