Instance: rand-2-40-16-250-350-22_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:04
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 10.46 11.00 83,686 MAX VALUE 18,638.20 1.90 0.18 2.06
Relational linkage 0.19 0.62 0.46 0.44 291.25 0.00 -512.99 0.07 0.16 1.56
Tightness 0.27 0.43 0.35 0.34 86.55 0.00 -266.13 0.03 0.09 3.35
Tuples 146 186 167.37 168.00 41,843 MAX VALUE 1,279.79 7.70 0.05 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 17 12.50 12.00 500 MAX VALUE 100.11 2.66 0.21 2.18
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: 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 18 108 54.00 41.50 864 1.86e+26 60.49 33.05 0.61 2.57
Cluster variables 9 25 16.25 15.00 260 7.57e+18 43.47 6.02 0.37 2.34
Separator constraints 0 97 38.38 21.00 614 0 None 31.57 0.82 2.48
Separator variables 0 24 13.75 11.50 220 0 None 6.61 0.48 2.43
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 73 830 264.79 207.50 10,062 MAX VALUE 204.11 181.36 0.68 3.60
Cluster variables 17 132 42.74 32.00 1,624 MAX VALUE 136.14 28.29 0.66 3.28
Separator constraints 0 426 185.40 160.00 7,045 0 None 106.19 0.57 3.53
Separator variables 0 94 36.16 30.00 1,374 0 None 21.42 0.59 3.33
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 0.19 0.50 0.32 0.31 12.86 0.00 -45.94 0.05 0.17 3.18
Degree 8 17 12.50 12.00 500 MAX VALUE 100.11 2.66 0.21 2.18
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 66.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.87 0.86 34.80 0.00 -5.73 0.08 0.09 3.31
Degree 8 35 26.00 30.00 1,040 MAX VALUE 126.61 9.09 0.35 2.63
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.69%
MCB compute time (ms): 2,465
MCB cycles: 3,133
Triangles: 12,040
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 0.57 0.51 0.50 126.34 0.00 -170.78 0.02 0.04 4.63
Degree 16 32 24.14 24.00 6,034 MAX VALUE 793.00 3.64 0.15 2.66
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 9,581 MAX VALUE 3,494.31 0.23 0.08 0.22
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 338
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.33 0.00 None 0.01 9.70 0.08
Degree 2 6 3.68 3.50 920 MAX VALUE 319.32 0.85 0.23 1.19
Eccentricity 6 9 7.24 7.00 1,809 MAX VALUE 493.80 0.64 0.09 0.95
MCB cycle size 3 9 6.72 7.00 1,417 MAX VALUE 398.72 1.10 0.16 1.49
Triangulated dual graph
Density: 52.13%
Triangles: 666,269
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.82 211.49 0.00 -42.86 0.08 0.09 4.72
Degree 16 191 129.82 166.00 32,454 MAX VALUE 1,174.56 57.77 0.45 3.84
Eccentricity 2 3 2.20 2.00 549 MAX VALUE 193.16 0.40 0.18 0.49
Triangulated minimal dual graph
Density: 10.98%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.81 0.77 203.14 0.00 -56.01 0.15 0.18 3.47
Degree 2 85 27.34 7.50 6,836 MAX VALUE 619.15 32.03 1.17 3.14
Eccentricity 3 5 3.77 4.00 942 MAX VALUE 328.92 0.55 0.14 0.81
Incidence graph
Density: 1.19%
MCB compute time (ms): 242
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 17 3.45 2.00 1,000 MAX VALUE 273.39 3.75 1.09 0.70
Eccentricity 5 6 5.90 6.00 1,712 MAX VALUE 514.50 0.30 0.05 0.32
MCB cycle size 6 8 6.04 6.00 1,274 MAX VALUE 379.21 0.27 0.05 0.09