Instance: rand-2-40-40-135-650-52_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:45
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 3 26 14.00 14.00 151,220 MAX VALUE 28,234.60 3.02 0.22 2.52
Relational linkage 0.07 0.42 0.25 0.25 406.48 0.00 -2,226.38 0.05 0.20 2.12
Tightness 0.62 0.68 0.65 0.65 87.74 0.00 -58.19 0.01 0.02 3.89
Tuples 509 603 560.07 561.00 75,610 MAX VALUE 854.21 18.83 0.03 3.89
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 11 6.75 7.00 270 1.46e+32 74.06 2.15 0.32 1.96
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 12
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 3 31 10.71 8.50 257 5.63e+22 52.38 7.20 0.67 2.44
Cluster variables 4 17 8.33 7.00 200 1.01e+21 48.37 4.06 0.49 2.24
Separator constraints 0 23 5.08 3.00 122 0 None 5.76 1.13 2.28
Separator variables 0 16 6.67 5.50 160 0 None 3.89 0.58 2.29
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 6 176 61.79 48.00 2,348 MAX VALUE 148.63 39.78 0.64 3.35
Cluster variables 5 58 20.21 15.50 768 MAX VALUE 107.90 12.73 0.63 3.02
Separator constraints 0 91 38.92 33.00 1,479 0 None 24.77 0.64 3.30
Separator variables 0 44 16.66 14.00 633 0 None 9.87 0.59 3.00
Primal graph
Density: 17.31%
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 0.67 0.19 0.18 7.46 0.00 None 0.12 0.66 2.87
Degree 3 11 6.75 7.00 270 1.46e+32 74.06 2.15 0.32 1.96
Eccentricity 2 4 3.02 3.00 121 1.44e+19 44.11 0.27 0.09 0.31
Triangulated primal graph
Density: 37.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.81 0.80 32.53 0.00 -8.86 0.14 0.17 2.84
Degree 3 26 14.80 15.00 592 MAX VALUE 97.85 8.87 0.60 2.54
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.61%
MCB compute time (ms): 497
MCB cycles: 763
Triangles: 1,812
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 0.70 0.50 0.49 68.10 0.00 -93.02 0.05 0.10 3.68
Degree 4 19 12.87 13.00 1,738 MAX VALUE 341.39 2.81 0.22 2.37
Eccentricity 3 4 3.42 3.00 462 MAX VALUE 164.71 0.49 0.14 0.68
MCB cycle size 3 5 3.11 3.00 2,371 MAX VALUE 861.44 0.33 0.11 0.35
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 60
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 163.35 0.60 0.18 0.91
Eccentricity 5 8 6.54 7.00 883 MAX VALUE 253.05 0.55 0.08 0.82
MCB cycle size 4 9 6.89 7.00 661 MAX VALUE 184.12 1.00 0.15 1.37
Triangulated dual graph
Density: 40.38%
Triangles: 63,062
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.80 110.84 0.00 -27.55 0.10 0.12 4.41
Degree 4 93 54.10 57.00 7,304 MAX VALUE 506.64 29.37 0.54 3.89
Eccentricity 2 4 2.76 3.00 372 MAX VALUE 134.70 0.46 0.17 0.64
Triangulated minimal dual graph
Density: 12.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.79 0.73 106.29 0.00 -35.16 0.16 0.21 3.11
Degree 2 50 17.24 7.00 2,328 MAX VALUE 304.66 17.51 1.02 2.91
Eccentricity 3 5 3.68 4.00 497 MAX VALUE 174.59 0.51 0.14 0.74
Incidence graph
Density: 1.77%
MCB compute time (ms): 67
MCB cycles: 96
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 11 3.09 2.00 540 MAX VALUE 167.63 2.24 0.73 0.99
Eccentricity 5 8 7.19 7.00 1,259 MAX VALUE 344.53 0.67 0.09 1.00
MCB cycle size 6 8 7.00 7.00 672 MAX VALUE 185.82 1.00 0.14 0.69