Instance: rand-2-40-16-250-350-37_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 4 16 10.42 10.00 83,360 MAX VALUE 18,609.40 1.88 0.18 2.05
Relational linkage 0.25 0.69 0.46 0.44 291.31 0.00 -512.63 0.07 0.16 1.58
Tightness 0.27 0.43 0.35 0.35 87.19 0.00 -264.23 0.03 0.08 3.35
Tuples 147 188 166.72 167.00 41,680 MAX VALUE 1,278.83 7.47 0.04 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 19 12.50 13.00 500 MAX VALUE 100.09 2.65 0.21 2.29
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: 9
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 14 99 46.29 31.00 787 8.09e+26 61.96 28.38 0.61 2.75
Cluster variables 8 24 14.76 12.00 251 2.41e+19 44.63 5.43 0.37 2.34
Separator constraints 0 80 31.59 21.00 537 0 None 25.80 0.82 2.59
Separator variables 0 22 12.41 11.00 211 0 None 5.81 0.47 2.34
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 67 725 262.21 206.50 9,964 MAX VALUE 204.24 171.78 0.66 3.56
Cluster variables 16 122 42.76 30.50 1,625 MAX VALUE 136.21 27.85 0.65 3.32
Separator constraints 0 396 182.87 163.00 6,949 0 None 99.08 0.54 3.60
Separator variables 0 93 36.18 28.00 1,375 0 None 21.16 0.58 3.32
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 0.47 0.31 0.31 12.40 0.00 -47.72 0.06 0.21 3.55
Degree 7 19 12.50 13.00 500 MAX VALUE 100.09 2.65 0.21 2.29
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Triangulated primal graph
Density: 62.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.85 34.35 0.00 -6.35 0.10 0.11 3.06
Degree 7 35 24.35 29.00 974 MAX VALUE 123.37 9.36 0.38 2.84
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.69%
MCB compute time (ms): 2,086
MCB cycles: 3,777
Triangles: 11,995
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 0.59 0.51 0.50 126.43 0.00 -170.63 0.02 0.04 4.61
Degree 15 35 24.12 24.00 6,030 MAX VALUE 793.22 3.41 0.14 2.62
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.16 3.00 11,954 MAX VALUE 4,328.56 0.37 0.12 0.45
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 303
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.20 0.00 None 0.03 7.12 0.14
Degree 2 6 3.68 4.00 920 MAX VALUE 319.93 0.79 0.21 1.15
Eccentricity 6 9 7.44 7.00 1,861 MAX VALUE 500.82 0.68 0.09 1.02
MCB cycle size 3 9 6.63 7.00 1,398 MAX VALUE 395.01 1.21 0.18 1.57
Triangulated dual graph
Density: 51.32%
Triangles: 634,449
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.84 0.82 210.43 0.00 -44.37 0.09 0.10 4.86
Degree 15 196 127.79 147.00 31,948 MAX VALUE 1,171.94 56.19 0.44 4.09
Eccentricity 2 3 2.24 2.00 561 MAX VALUE 198.02 0.43 0.19 0.56
Triangulated minimal dual graph
Density: 10.86%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.75 201.48 0.00 -58.26 0.15 0.19 3.55
Degree 2 88 27.04 7.00 6,760 MAX VALUE 620.21 31.14 1.15 3.28
Eccentricity 3 5 3.95 4.00 988 MAX VALUE 340.80 0.58 0.15 0.87
Incidence graph
Density: 1.19%
MCB compute time (ms): 220
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 19 3.45 2.00 1,000 MAX VALUE 273.38 3.75 1.09 0.72
Eccentricity 5 7 5.89 6.00 1,707 MAX VALUE 513.54 0.34 0.06 0.41
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13