Instance: rand-2-40-16-250-350-23_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:02
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 1 16 10.40 10.00 83,228 MAX VALUE 18,588.60 1.93 0.19 2.07
Relational linkage 0.06 0.69 0.45 0.44 287.69 0.00 -521.71 0.07 0.16 1.56
Tightness 0.25 0.44 0.35 0.35 87.45 0.00 -263.61 0.03 0.09 3.38
Tuples 144 192 166.46 166.00 41,614 MAX VALUE 1,278.40 7.96 0.05 3.38
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 18 12.50 12.50 500 MAX VALUE 100.04 2.73 0.22 2.31
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 16 103 49.88 34.00 848 1.93e+27 62.83 32.24 0.65 2.83
Cluster variables 9 24 15.35 13.00 261 4.32e+19 45.21 5.84 0.38 1.96
Separator constraints 0 93 35.18 21.00 598 0 None 31.10 0.88 2.83
Separator variables 0 23 13.00 12.00 221 0 None 6.32 0.49 2.09
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 74 808 261.05 192.50 9,920 MAX VALUE 203.73 177.85 0.68 3.56
Cluster variables 17 125 42.39 30.50 1,611 MAX VALUE 135.90 27.83 0.66 3.14
Separator constraints 0 438 181.47 161.00 6,896 0 None 104.21 0.57 3.49
Separator variables 0 96 35.82 28.00 1,361 0 None 21.14 0.59 3.11
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 0.22 0.47 0.32 0.32 12.77 0.00 -46.13 0.05 0.15 3.50
Degree 8 18 12.50 12.50 500 MAX VALUE 100.04 2.73 0.22 2.31
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 63.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.86 0.85 34.51 0.00 -6.11 0.09 0.10 3.13
Degree 8 34 24.85 30.00 994 MAX VALUE 124.33 9.27 0.37 2.56
Eccentricity 2 3 2.15 2.00 86 1.25e+13 30.16 0.36 0.17 0.42
Dual graph
Density: 9.72%
MCB compute time (ms): 5,900
MCB cycles: 2,952
Triangles: 12,109
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 0.58 0.51 0.50 126.58 0.00 -170.32 0.02 0.04 4.61
Degree 16 33 24.19 24.00 6,048 MAX VALUE 793.58 3.67 0.15 2.67
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.03 3.00 8,935 MAX VALUE 3,265.83 0.16 0.05 0.12
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 486
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 3.00 920 MAX VALUE 319.10 0.86 0.23 1.18
Eccentricity 6 8 7.06 7.00 1,765 MAX VALUE 487.99 0.50 0.07 0.73
MCB cycle size 3 9 6.65 7.00 1,403 MAX VALUE 396.36 1.15 0.17 1.55
Triangulated dual graph
Density: 51.01%
Triangles: 635,949
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.84 0.83 210.80 0.00 -43.80 0.08 0.10 4.69
Degree 16 192 127.02 149.00 31,754 MAX VALUE 1,168.59 57.25 0.45 4.13
Eccentricity 2 3 2.19 2.00 548 MAX VALUE 192.75 0.39 0.18 0.49
Triangulated minimal dual graph
Density: 10.88%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.77 202.12 0.00 -57.18 0.15 0.18 3.50
Degree 2 87 27.09 7.00 6,772 MAX VALUE 617.66 31.63 1.17 3.19
Eccentricity 3 5 3.76 4.00 939 MAX VALUE 328.25 0.53 0.14 0.78
Incidence graph
Density: 1.19%
MCB compute time (ms): 365
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 273.33 3.76 1.09 0.72
Eccentricity 5 7 5.91 6.00 1,714 MAX VALUE 514.78 0.32 0.05 0.38
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07