Instance: rand-2-40-16-250-350-70_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:53
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 10.39 10.00 83,122 MAX VALUE 18,580.00 1.92 0.18 2.07
Relational linkage 0.19 0.62 0.45 0.44 287.88 0.00 -520.27 0.07 0.16 1.56
Tightness 0.27 0.44 0.35 0.36 87.65 0.00 -262.92 0.03 0.08 3.36
Tuples 143 186 166.24 165.00 41,561 MAX VALUE 1,278.11 7.53 0.05 3.36
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 21 12.50 12.00 500 MAX VALUE 99.61 3.25 0.26 2.39
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 11 108 41.47 34.00 705 7.66e+25 59.60 27.79 0.67 2.75
Cluster variables 7 24 13.82 12.00 235 7.84e+18 43.51 5.10 0.37 2.31
Separator constraints 0 76 26.76 23.00 455 0 None 22.70 0.85 2.67
Separator variables 0 20 11.47 11.00 195 0 None 5.27 0.46 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 65 853 262.26 208.50 9,966 MAX VALUE 203.13 187.98 0.72 3.64
Cluster variables 16 131 42.05 30.00 1,598 MAX VALUE 135.47 27.96 0.66 3.26
Separator constraints 0 453 181.05 144.00 6,880 0 None 111.03 0.61 3.60
Separator variables 0 97 35.47 28.00 1,348 0 None 21.21 0.60 3.25
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 0.21 0.58 0.31 0.30 12.52 0.00 -47.27 0.07 0.22 3.35
Degree 6 21 12.50 12.00 500 MAX VALUE 99.61 3.25 0.26 2.39
Eccentricity 2 3 2.35 2.00 94 3.21e+14 33.40 0.48 0.20 0.65
Triangulated primal graph
Density: 60.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.85 0.82 34.14 0.00 -6.61 0.10 0.12 3.13
Degree 6 33 23.55 29.00 942 MAX VALUE 121.65 9.42 0.40 2.60
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.91%
MCB compute time (ms): 4,151
MCB cycles: 3,166
Triangles: 12,865
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 0.50 127.89 0.00 -167.88 0.03 0.05 4.71
Degree 15 36 24.69 24.00 6,172 MAX VALUE 797.57 4.39 0.18 2.84
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.06 3.00 9,698 MAX VALUE 3,535.74 0.24 0.08 0.24
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 353
MCB cycles: 212
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 3.68 4.00 920 MAX VALUE 319.54 0.83 0.22 1.18
Eccentricity 6 9 7.16 7.00 1,791 MAX VALUE 491.47 0.57 0.08 0.86
MCB cycle size 4 9 6.76 7.00 1,434 MAX VALUE 402.29 1.08 0.16 1.47
Triangulated dual graph
Density: 51.00%
Triangles: 643,666
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.81 211.37 0.00 -42.98 0.08 0.09 4.94
Degree 15 184 126.98 161.00 31,746 MAX VALUE 1,166.53 58.19 0.46 3.96
Eccentricity 2 3 2.18 2.00 544 MAX VALUE 191.13 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 11.16%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.81 0.76 202.60 0.00 -56.66 0.15 0.18 3.55
Degree 2 89 27.79 8.00 6,948 MAX VALUE 624.46 32.19 1.16 3.26
Eccentricity 3 5 3.78 4.00 945 MAX VALUE 329.91 0.52 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 237
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 21 3.45 2.00 1,000 MAX VALUE 272.90 3.82 1.11 0.73
Eccentricity 5 6 5.91 6.00 1,714 MAX VALUE 514.87 0.29 0.05 0.30
MCB cycle size 6 8 6.07 6.00 1,280 MAX VALUE 380.07 0.36 0.06 0.15