Instance: rand-2-40-40-135-650-34_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:41
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 25 13.92 14.00 150,356 MAX VALUE 28,171.90 3.00 0.22 2.52
Relational linkage 0.07 0.40 0.25 0.25 404.43 0.00 -2,232.50 0.05 0.19 2.08
Tightness 0.63 0.68 0.65 0.65 88.01 0.00 -57.77 0.01 0.02 3.92
Tuples 517 599 556.87 556.00 75,178 MAX VALUE 853.45 17.20 0.03 3.92
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 12 6.75 6.50 270 1.81e+32 74.28 2.14 0.32 2.05
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: 14
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 3 29 10.96 9.00 263 9.31e+22 52.89 6.85 0.63 2.50
Cluster variables 4 16 8.38 7.00 201 1.82e+21 48.95 3.56 0.42 2.21
Separator constraints 0 21 5.33 3.00 128 0 None 5.89 1.10 2.30
Separator variables 0 14 6.71 6.00 161 0 None 3.38 0.50 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 17 171 59.87 51.00 2,275 MAX VALUE 148.23 38.70 0.65 3.30
Cluster variables 8 51 19.71 16.00 749 MAX VALUE 107.87 11.43 0.58 2.92
Separator constraints 0 104 37.03 34.50 1,407 0 None 23.92 0.65 3.28
Separator variables 0 38 16.16 14.00 614 0 None 8.69 0.54 2.90
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 0.38 0.18 0.18 7.03 0.00 None 0.09 0.53 2.95
Degree 3 12 6.75 6.50 270 1.81e+32 74.28 2.14 0.32 2.05
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 37.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.81 0.78 32.44 0.00 -9.15 0.16 0.19 2.66
Degree 3 29 14.80 14.50 592 MAX VALUE 98.32 8.73 0.59 2.74
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.60%
MCB compute time (ms): 319
MCB cycles: 823
Triangles: 1,837
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 0.67 0.51 0.50 68.26 0.00 -92.52 0.04 0.08 3.86
Degree 7 22 12.86 13.00 1,736 MAX VALUE 341.17 2.98 0.23 2.46
Eccentricity 3 4 3.51 4.00 474 MAX VALUE 168.16 0.50 0.14 0.69
MCB cycle size 3 5 3.20 3.00 2,630 MAX VALUE 948.86 0.47 0.15 0.53
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 65
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 163.04 0.65 0.19 0.97
Eccentricity 6 8 6.74 7.00 910 MAX VALUE 257.14 0.56 0.08 0.83
MCB cycle size 4 9 6.79 7.00 652 MAX VALUE 182.43 1.13 0.17 1.48
Triangulated dual graph
Density: 37.61%
Triangles: 53,023
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.81 0.78 109.22 0.00 -29.82 0.11 0.14 4.25
Degree 7 91 50.40 60.00 6,804 MAX VALUE 499.53 27.34 0.54 3.84
Eccentricity 2 3 2.53 3.00 341 MAX VALUE 122.36 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.63%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.79 0.75 106.78 0.00 -34.52 0.16 0.21 3.08
Degree 2 51 16.92 7.00 2,284 MAX VALUE 300.37 17.50 1.03 2.92
Eccentricity 2 4 3.45 3.00 466 MAX VALUE 165.74 0.51 0.15 0.73
Incidence graph
Density: 1.77%
MCB compute time (ms): 73
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 12 3.09 2.00 540 MAX VALUE 167.85 2.24 0.73 1.01
Eccentricity 6 8 7.34 7.00 1,284 MAX VALUE 348.17 0.60 0.08 0.89
MCB cycle size 6 8 6.98 6.00 670 MAX VALUE 185.53 1.00 0.14 0.69