Instance: rand-2-40-11-414-200-21_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:41
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 3 11 8.82 9.00 80,344 MAX VALUE 19,718.00 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 244.64 0.00 -263.01 0.08 0.14 1.24
Tightness 0.10 0.29 0.20 0.20 82.00 0.00 -677.14 0.04 0.18 2.84
Tuples 86 109 97.03 97.00 40,172 MAX VALUE 1,893.68 4.25 0.04 2.84
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 27 20.70 21.00 828 MAX VALUE 120.77 3.02 0.15 2.33
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: 11
Number of leaves: 6
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 73 244 146.64 117.00 1,613 2.38e+23 53.83 63.97 0.44 2.27
Cluster variables 16 30 22.73 21.00 250 6.30e+14 34.08 5.19 0.23 1.97
Separator constraints 0 225 109.00 95.00 1,199 0 None 66.12 0.61 2.40
Separator variables 0 29 19.09 19.00 210 0 None 7.62 0.40 2.10
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 200 2,957 840.00 602.00 31,920 MAX VALUE 246.75 670.66 0.80 3.64
Cluster variables 28 236 76.47 50.00 2,906 MAX VALUE 157.53 54.65 0.71 3.35
Separator constraints 0 1,767 620.58 477.50 23,582 0 None 402.31 0.65 3.60
Separator variables 0 190 65.58 48.00 2,492 0 None 41.87 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 0.45 0.63 0.53 0.53 21.13 0.00 -25.64 0.04 0.07 3.62
Degree 14 27 20.70 21.00 828 MAX VALUE 120.77 3.02 0.15 2.33
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.91 0.91 36.38 0.02 -3.85 0.05 0.05 3.13
Degree 15 38 32.25 35.00 1,290 MAX VALUE 137.74 6.80 0.21 2.18
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.75%
MCB compute time (ms): 18,495
MCB cycles: 8,799
Triangles: 55,907
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 0.55 0.51 0.50 209.60 0.00 -281.84 0.01 0.02 5.08
Degree 27 51 40.28 40.00 16,676 MAX VALUE 1,527.77 4.22 0.10 2.83
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.02 3.00 26,579 MAX VALUE 9,719.05 0.14 0.05 0.10
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,659
MCB cycles: 375
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 3.81 4.00 1,576 MAX VALUE 542.88 0.88 0.23 1.20
Eccentricity 6 10 8.26 8.00 3,419 MAX VALUE 872.36 0.74 0.09 1.12
MCB cycle size 4 9 6.67 7.00 2,500 MAX VALUE 705.33 1.15 0.17 1.54
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: 9.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.83 0.79 342.82 0.00 -84.00 0.14 0.17 3.73
Degree 2 137 39.95 8.00 16,540 MAX VALUE 1,102.24 50.37 1.26 3.43
Eccentricity 3 5 3.76 4.00 1,555 MAX VALUE 543.64 0.53 0.14 0.77
Incidence graph
Density: 0.81%
MCB compute time (ms): 645
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 407.73 5.38 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00