Instance: rand-2-40-11-414-200-82_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:44
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 8.78 9.00 79,924 MAX VALUE 19,670.50 1.31 0.15 1.66
Relational linkage 0.27 0.73 0.55 0.55 242.64 0.00 -266.96 0.08 0.15 1.29
Tightness 0.11 0.33 0.20 0.20 83.74 0.00 -668.25 0.04 0.18 2.85
Tuples 81 108 96.53 97.00 39,962 MAX VALUE 1,891.48 4.34 0.04 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 21.00 828 MAX VALUE 120.77 2.93 0.14 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: 5
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 50 246 149.00 137.00 1,639 2.20e+23 53.75 65.94 0.44 2.40
Cluster variables 13 30 22.82 22.00 251 6.12e+14 34.05 5.52 0.24 2.27
Separator constraints 0 227 111.36 109.00 1,225 0 None 67.48 0.61 2.40
Separator variables 0 29 19.18 20.00 211 0 None 7.88 0.41 2.40
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 192 2,954 828.29 579.50 31,475 MAX VALUE 246.67 637.70 0.77 3.60
Cluster variables 27 244 76.05 49.00 2,890 MAX VALUE 157.51 53.24 0.70 3.32
Separator constraints 0 1,556 609.16 505.50 23,148 0 None 365.68 0.60 3.60
Separator variables 0 179 65.16 46.50 2,476 0 None 40.22 0.62 3.32
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 0.52 0.53 20.95 0.00 -25.92 0.03 0.05 3.54
Degree 12 26 20.70 21.00 828 MAX VALUE 120.77 2.93 0.14 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: 82.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.47 0.02 -3.76 0.05 0.06 3.31
Degree 12 39 32.30 35.00 1,292 MAX VALUE 137.72 6.90 0.21 2.43
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.74%
MCB compute time (ms): 8,208
MCB cycles: 9,307
Triangles: 55,576
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 0.50 209.45 0.00 -282.16 0.01 0.02 4.84
Degree 26 49 40.23 40.00 16,654 MAX VALUE 1,527.53 3.90 0.10 2.75
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.02 3.00 28,097 MAX VALUE 10,275.40 0.14 0.05 0.09
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,577
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 542.53 0.90 0.24 1.21
Eccentricity 7 9 8.05 8.00 3,334 MAX VALUE 862.19 0.67 0.08 1.00
MCB cycle size 4 10 6.60 7.00 2,475 MAX VALUE 700.83 1.20 0.18 1.57
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: 9.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.83 0.79 341.83 0.00 -85.23 0.14 0.17 3.79
Degree 2 136 41.11 9.00 17,018 MAX VALUE 1,113.80 51.38 1.25 3.39
Eccentricity 3 5 3.77 4.00 1,560 MAX VALUE 544.95 0.53 0.14 0.78
Incidence graph
Density: 0.81%
MCB compute time (ms): 640
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 407.73 5.37 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