Instance: rand-2-40-16-250-350-33_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:03
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 2 16 10.40 10.00 83,224 MAX VALUE 18,588.40 1.92 0.19 2.07
Relational linkage 0.12 0.69 0.45 0.44 287.81 0.00 -521.34 0.07 0.16 1.57
Tightness 0.28 0.45 0.35 0.35 87.45 0.00 -263.39 0.03 0.08 3.28
Tuples 141 185 166.45 167.00 41,612 MAX VALUE 1,278.44 7.15 0.04 3.28
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 99.76 2.94 0.24 2.35
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: 7
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 11 102 50.41 35.00 857 1.17e+27 62.33 32.74 0.65 2.75
Cluster variables 7 24 15.29 13.00 260 3.23e+19 44.92 6.03 0.39 2.31
Separator constraints 0 91 35.71 19.00 607 0 None 30.33 0.85 2.75
Separator variables 0 23 12.94 12.00 220 0 None 6.49 0.50 2.43
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 62 908 268.55 197.00 10,205 MAX VALUE 203.70 196.30 0.73 3.49
Cluster variables 15 133 42.76 31.00 1,625 MAX VALUE 135.83 28.95 0.68 3.26
Separator constraints 0 469 188.34 151.50 7,157 0 None 116.14 0.62 3.49
Separator variables 0 99 36.18 28.50 1,375 0 None 21.98 0.61 3.19
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 0.18 0.43 0.32 0.32 12.95 0.00 -45.62 0.05 0.16 3.32
Degree 6 18 12.50 13.00 500 MAX VALUE 99.76 2.94 0.24 2.35
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 63.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.86 0.85 34.59 0.00 -6.02 0.09 0.10 3.35
Degree 6 35 24.80 29.50 992 MAX VALUE 123.98 9.35 0.38 2.80
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.79%
MCB compute time (ms): 1,334
MCB cycles: 3,580
Triangles: 12,325
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 0.64 0.51 0.50 126.99 0.00 -169.62 0.02 0.05 4.59
Degree 14 33 24.38 25.00 6,096 MAX VALUE 795.30 3.77 0.15 2.71
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.12 3.00 11,185 MAX VALUE 4,060.99 0.33 0.11 0.38
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 370
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 320.45 0.75 0.21 1.10
Eccentricity 6 9 7.26 7.00 1,816 MAX VALUE 494.99 0.56 0.08 0.84
MCB cycle size 4 9 6.85 7.00 1,445 MAX VALUE 402.36 1.21 0.18 1.57
Triangulated dual graph
Density: 52.97%
Triangles: 691,303
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.83 212.17 0.00 -41.94 0.07 0.09 4.88
Degree 14 190 131.89 163.00 32,972 MAX VALUE 1,177.83 58.29 0.44 3.88
Eccentricity 2 3 2.20 2.00 551 MAX VALUE 193.97 0.40 0.18 0.51
Triangulated minimal dual graph
Density: 11.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.82 0.78 205.99 0.00 -52.13 0.14 0.17 3.40
Degree 2 89 28.73 7.00 7,182 MAX VALUE 626.10 33.39 1.16 3.08
Eccentricity 3 4 3.58 4.00 896 MAX VALUE 316.65 0.49 0.14 0.68
Incidence graph
Density: 1.19%
MCB compute time (ms): 224
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 273.05 3.78 1.10 0.73
Eccentricity 5 7 5.92 6.00 1,716 MAX VALUE 515.12 0.32 0.05 0.39
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11