Instance: rand-2-40-40-135-650-12_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:35
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 4 27 14.02 14.00 151,430 MAX VALUE 28,252.60 3.02 0.22 2.52
Relational linkage 0.10 0.45 0.25 0.25 406.98 0.00 -2,219.77 0.05 0.18 2.04
Tightness 0.61 0.68 0.65 0.65 87.68 0.00 -58.29 0.01 0.02 4.01
Tuples 520 623 560.85 561.00 75,715 MAX VALUE 854.39 20.30 0.04 4.01
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 10 6.75 7.00 270 1.36e+32 73.99 2.11 0.31 2.00
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: 23
Number of leaves: 12
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 2 30 11.74 10.00 270 2.80e+22 51.69 7.56 0.64 2.67
Cluster variables 3 18 8.70 8.00 200 3.18e+20 47.21 4.13 0.48 2.40
Separator constraints 0 24 5.87 3.00 135 0 None 6.48 1.10 2.43
Separator variables 0 16 6.96 6.00 160 0 None 3.92 0.56 2.40
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 12 151 60.58 60.50 2,302 MAX VALUE 148.40 36.36 0.60 3.46
Cluster variables 7 54 20.11 16.50 764 MAX VALUE 108.16 12.07 0.60 3.09
Separator constraints 0 84 37.82 33.50 1,437 0 None 22.01 0.58 3.35
Separator variables 0 42 16.55 15.00 629 0 None 9.20 0.56 3.03
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 0.33 0.18 0.19 7.10 0.00 None 0.09 0.50 2.85
Degree 2 10 6.75 7.00 270 1.36e+32 73.99 2.11 0.31 2.00
Eccentricity 3 4 3.12 3.00 125 5.12e+19 45.38 0.33 0.11 0.38
Triangulated primal graph
Density: 40.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.60 1.00 0.81 0.77 32.60 0.00 -8.74 0.14 0.17 2.94
Degree 2 28 15.65 17.00 626 MAX VALUE 100.23 9.01 0.58 2.67
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.56%
MCB compute time (ms): 332
MCB cycles: 754
Triangles: 1,776
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.78 0.50 0.49 67.73 0.00 -93.70 0.05 0.10 3.68
Degree 6 18 12.81 13.00 1,730 MAX VALUE 340.99 2.71 0.21 2.34
Eccentricity 3 4 3.37 3.00 455 MAX VALUE 162.70 0.48 0.14 0.66
MCB cycle size 3 5 3.09 3.00 2,332 MAX VALUE 848.43 0.29 0.10 0.31
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 51
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 162.95 0.64 0.19 0.96
Eccentricity 6 8 6.70 7.00 905 MAX VALUE 256.33 0.60 0.09 0.89
MCB cycle size 4 9 6.97 7.00 669 MAX VALUE 184.95 1.13 0.16 1.46
Triangulated dual graph
Density: 39.40%
Triangles: 58,561
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 109.92 0.00 -28.84 0.10 0.13 4.31
Degree 6 90 52.80 61.00 7,128 MAX VALUE 505.36 28.30 0.54 3.76
Eccentricity 2 3 2.53 3.00 341 MAX VALUE 122.36 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.93%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.71 105.29 0.00 -36.74 0.17 0.22 3.08
Degree 2 49 15.99 7.00 2,158 MAX VALUE 295.01 16.55 1.04 2.99
Eccentricity 3 5 3.70 4.00 499 MAX VALUE 175.10 0.52 0.14 0.76
Incidence graph
Density: 1.77%
MCB compute time (ms): 53
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 10 3.09 2.00 540 MAX VALUE 167.56 2.23 0.72 0.96
Eccentricity 6 8 7.23 7.00 1,265 MAX VALUE 345.57 0.59 0.08 0.88
MCB cycle size 6 10 6.98 6.00 670 MAX VALUE 185.47 1.04 0.15 0.74