Instance: rand-2-40-16-250-350-79_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:01
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 3 16 10.36 10.00 82,912 MAX VALUE 18,557.20 1.93 0.19 2.08
Relational linkage 0.19 0.62 0.45 0.44 287.12 0.00 -522.55 0.07 0.17 1.58
Tightness 0.25 0.44 0.35 0.35 88.06 0.00 -261.70 0.03 0.08 3.31
Tuples 144 192 165.82 166.00 41,456 MAX VALUE 1,277.48 7.40 0.04 3.31
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 18 12.50 13.00 500 MAX VALUE 100.16 2.46 0.20 2.17
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 17
Number of leaves: 10
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 9 97 46.88 33.00 797 4.42e+26 61.35 30.29 0.65 2.75
Cluster variables 7 24 15.41 13.00 262 4.29e+19 45.21 5.90 0.38 2.20
Separator constraints 0 87 32.18 21.00 547 0 None 28.96 0.90 2.56
Separator variables 0 23 13.06 12.00 222 0 None 6.39 0.49 2.28
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 60 895 273.08 211.50 10,377 MAX VALUE 205.06 195.50 0.72 3.60
Cluster variables 15 137 43.87 31.00 1,667 MAX VALUE 136.83 29.91 0.68 3.35
Separator constraints 0 456 194.24 172.00 7,381 0 None 112.96 0.58 3.56
Separator variables 0 99 37.29 28.50 1,417 0 None 22.69 0.61 3.23
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.20 0.41 0.30 0.30 11.86 0.00 -49.07 0.04 0.14 3.30
Degree 6 18 12.50 13.00 500 MAX VALUE 100.16 2.46 0.20 2.17
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 63.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.87 0.84 34.63 0.00 -6.00 0.10 0.11 3.01
Degree 6 35 24.90 29.00 996 MAX VALUE 124.24 9.45 0.38 2.77
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.63%
MCB compute time (ms): 5,112
MCB cycles: 2,978
Triangles: 11,719
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 0.61 0.50 0.50 125.68 0.00 -172.10 0.02 0.04 4.32
Degree 14 33 23.97 24.00 5,992 MAX VALUE 791.96 3.12 0.13 2.53
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.06 3.00 9,120 MAX VALUE 3,325.11 0.24 0.08 0.23
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 325
MCB cycles: 211
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 5 3.68 4.00 920 MAX VALUE 320.09 0.78 0.21 1.13
Eccentricity 6 9 7.51 7.00 1,877 MAX VALUE 502.90 0.70 0.09 1.06
MCB cycle size 4 9 6.61 7.00 1,394 MAX VALUE 394.71 1.18 0.18 1.55
Triangulated dual graph
Density: 55.39%
Triangles: 752,450
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.76 1.00 0.85 0.82 213.40 0.00 -40.45 0.07 0.08 4.79
Degree 14 196 137.92 174.00 34,480 MAX VALUE 1,192.18 58.30 0.42 3.57
Eccentricity 2 3 2.18 2.00 545 MAX VALUE 191.53 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 11.19%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.78 202.65 0.00 -56.49 0.14 0.18 3.55
Degree 2 88 27.86 8.00 6,966 MAX VALUE 625.28 32.40 1.16 3.27
Eccentricity 3 5 3.75 4.00 938 MAX VALUE 328.03 0.52 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 240
MCB cycles: 211
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 18 3.45 2.00 1,000 MAX VALUE 273.44 3.73 1.08 0.70
Eccentricity 5 7 5.92 6.00 1,717 MAX VALUE 515.28 0.33 0.06 0.40
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13