Instance: rand-2-40-11-414-200-27_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:31
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 4 11 8.81 9.00 80,248 MAX VALUE 19,707.90 1.32 0.15 1.67
Relational linkage 0.36 0.73 0.57 0.55 248.82 0.00 -255.02 0.08 0.13 1.23
Tightness 0.07 0.31 0.20 0.20 82.40 0.00 -675.74 0.04 0.18 2.88
Tuples 83 112 96.92 97.00 40,124 MAX VALUE 1,893.15 4.43 0.05 2.88
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 27 20.70 20.50 828 MAX VALUE 120.51 3.74 0.18 2.53
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 10
Number of leaves: 7
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 50 268 128.50 110.50 1,285 3.33e+20 47.25 68.12 0.53 2.30
Cluster variables 14 31 20.80 19.50 208 1.11e+13 30.03 5.36 0.26 2.03
Separator constraints 0 209 87.10 76.00 871 0 None 57.32 0.66 2.16
Separator variables 0 27 16.80 17.50 168 0 None 6.97 0.41 2.03
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 173 3,293 861.00 569.50 32,718 MAX VALUE 246.56 719.89 0.84 3.64
Cluster variables 26 257 77.39 51.00 2,941 MAX VALUE 157.59 56.29 0.73 3.42
Separator constraints 0 1,778 639.00 512.50 24,282 0 None 424.06 0.66 3.64
Separator variables 0 187 66.50 48.50 2,527 0 None 42.85 0.64 3.42
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.64 0.54 0.54 21.48 0.00 -24.96 0.04 0.07 3.58
Degree 13 27 20.70 20.50 828 MAX VALUE 120.51 3.74 0.18 2.53
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.30 0.02 -3.95 0.05 0.06 3.28
Degree 13 38 31.65 35.00 1,266 MAX VALUE 136.69 7.32 0.23 2.37
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.87%
MCB compute time (ms): 4,179
MCB cycles: 9,340
Triangles: 57,780
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.56 0.51 0.51 211.06 0.00 -279.01 0.01 0.02 5.21
Degree 25 51 40.75 41.00 16,872 MAX VALUE 1,531.74 4.95 0.12 2.97
Eccentricity 2 3 2.98 3.00 1,234 MAX VALUE 451.58 0.14 0.05 0.10
MCB cycle size 3 4 3.03 3.00 28,319 MAX VALUE 10,347.10 0.18 0.06 0.14
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,772
MCB cycles: 376
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 11.94 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 543.40 0.86 0.23 1.18
Eccentricity 7 10 8.59 9.00 3,555 MAX VALUE 888.43 0.79 0.09 1.17
MCB cycle size 3 9 6.61 7.00 2,484 MAX VALUE 702.54 1.25 0.19 1.60
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 10.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 343.84 0.00 -82.74 0.14 0.17 3.79
Degree 2 139 42.27 9.00 17,498 MAX VALUE 1,119.54 52.84 1.25 3.43
Eccentricity 3 5 3.78 4.00 1,565 MAX VALUE 545.94 0.55 0.15 0.82
Incidence graph
Density: 0.81%
MCB compute time (ms): 533
MCB cycles: 375
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 27 3.65 2.00 1,656 MAX VALUE 407.47 5.42 1.48 0.52
Eccentricity 5 6 5.89 6.00 2,676 MAX VALUE 804.71 0.31 0.05 0.34
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00