Instance: rand-2-40-16-250-350-2_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:00
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 10.39 10.00 83,160 MAX VALUE 18,583.10 1.91 0.18 2.07
Relational linkage 0.12 0.69 0.45 0.44 287.81 0.00 -521.84 0.08 0.17 1.56
Tightness 0.28 0.42 0.35 0.35 87.58 0.00 -263.22 0.03 0.09 3.40
Tuples 148 185 166.32 166.00 41,580 MAX VALUE 1,278.19 7.92 0.05 3.40
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 19 12.50 12.00 500 MAX VALUE 100.01 2.70 0.22 2.30
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: 16
Number of leaves: 8
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 12 105 50.31 46.00 805 7.42e+25 59.57 29.69 0.59 2.69
Cluster variables 7 25 15.69 15.50 251 3.97e+18 42.82 5.90 0.38 2.51
Separator constraints 0 93 34.69 26.00 555 0 None 27.38 0.79 2.60
Separator variables 0 24 13.19 13.00 211 0 None 6.38 0.48 2.60
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 62 851 262.50 203.50 9,975 MAX VALUE 204.00 179.36 0.68 3.55
Cluster variables 15 129 42.39 30.50 1,611 MAX VALUE 135.92 27.72 0.65 3.20
Separator constraints 0 439 183.00 161.50 6,954 0 None 104.09 0.57 3.55
Separator variables 0 93 35.82 27.50 1,361 0 None 20.94 0.58 3.30
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 0.23 0.46 0.34 0.33 13.42 0.00 -44.23 0.06 0.17 3.23
Degree 6 19 12.50 12.00 500 MAX VALUE 100.01 2.70 0.22 2.30
Eccentricity 2 3 2.35 2.00 94 3.21e+14 33.40 0.48 0.20 0.65
Triangulated primal graph
Density: 65.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.87 0.85 34.72 0.00 -5.85 0.09 0.10 3.17
Degree 6 37 25.55 30.00 1,022 MAX VALUE 125.58 9.24 0.36 2.95
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.71%
MCB compute time (ms): 1,216
MCB cycles: 3,824
Triangles: 12,073
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 0.65 0.51 0.50 126.61 0.00 -170.34 0.02 0.05 4.47
Degree 14 34 24.17 24.00 6,042 MAX VALUE 793.49 3.53 0.15 2.65
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 12,080 MAX VALUE 4,375.88 0.37 0.12 0.44
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 320
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 0.83 0.00 None 0.03 9.43 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 319.59 0.82 0.22 1.18
Eccentricity 6 9 7.27 7.00 1,817 MAX VALUE 495.01 0.60 0.08 0.91
MCB cycle size 3 10 6.62 7.00 1,396 MAX VALUE 395.06 1.16 0.18 1.52
Triangulated dual graph
Density: 51.15%
Triangles: 639,564
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.84 0.82 210.80 0.00 -43.74 0.08 0.10 4.80
Degree 14 194 127.35 163.50 31,838 MAX VALUE 1,169.17 57.23 0.45 4.07
Eccentricity 2 3 2.24 2.00 561 MAX VALUE 198.02 0.43 0.19 0.56
Triangulated minimal dual graph
Density: 11.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.81 0.77 203.39 0.00 -55.20 0.14 0.17 3.55
Degree 2 88 28.34 7.50 7,084 MAX VALUE 624.85 32.90 1.16 3.25
Eccentricity 3 5 3.74 4.00 935 MAX VALUE 327.04 0.54 0.15 0.80
Incidence graph
Density: 1.19%
MCB compute time (ms): 222
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 273.30 3.76 1.09 0.72
Eccentricity 5 7 5.93 6.00 1,719 MAX VALUE 515.64 0.32 0.05 0.39
MCB cycle size 6 8 6.02 6.00 1,270 MAX VALUE 378.64 0.19 0.03 0.05