Instance: rand-2-40-40-135-650-35_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:37
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 14.00 151,248 MAX VALUE 28,243.00 2.99 0.21 2.51
Relational linkage 0.07 0.45 0.26 0.25 409.60 0.00 -2,211.15 0.05 0.19 2.08
Tightness 0.62 0.68 0.65 0.65 87.73 0.00 -58.20 0.01 0.02 3.95
Tuples 514 605 560.18 561.00 75,624 MAX VALUE 854.25 17.53 0.03 3.95
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.75 6.00 270 8.96e+31 73.57 2.34 0.35 2.15
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 2 30 11.12 9.00 267 6.47e+22 52.52 7.57 0.68 2.72
Cluster variables 3 17 8.21 7.00 197 6.52e+20 47.93 3.88 0.47 2.39
Separator constraints 0 23 5.50 3.50 132 0 None 6.11 1.11 2.33
Separator variables 0 14 6.54 5.50 157 0 None 3.69 0.56 2.39
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 16 166 63.05 54.50 2,396 MAX VALUE 149.45 40.76 0.65 3.53
Cluster variables 7 57 20.26 17.00 770 MAX VALUE 108.21 12.50 0.62 3.11
Separator constraints 0 89 39.74 40.00 1,510 0 None 24.56 0.62 3.42
Separator variables 0 40 16.71 15.00 635 0 None 9.54 0.57 2.98
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 0.50 0.19 0.20 7.51 0.00 None 0.12 0.63 2.83
Degree 2 11 6.75 6.00 270 8.96e+31 73.57 2.34 0.35 2.15
Eccentricity 3 4 3.10 3.00 124 3.84e+19 45.10 0.30 0.10 0.33
Triangulated primal graph
Density: 37.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.82 0.78 32.80 0.00 -8.66 0.15 0.19 2.66
Degree 2 28 14.65 15.00 586 MAX VALUE 96.76 8.96 0.61 2.76
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.80%
MCB compute time (ms): 250
MCB cycles: 774
Triangles: 1,917
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 0.82 0.51 0.50 69.28 0.00 -90.74 0.05 0.11 3.92
Degree 6 19 13.13 13.00 1,772 MAX VALUE 343.93 2.93 0.22 2.44
Eccentricity 3 4 3.25 3.00 439 MAX VALUE 158.09 0.43 0.13 0.56
MCB cycle size 3 5 3.10 3.00 2,396 MAX VALUE 871.10 0.33 0.11 0.32
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 50
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.43 0.00 None 0.02 6.79 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.51 0.70 0.21 1.06
Eccentricity 6 8 6.66 7.00 899 MAX VALUE 255.52 0.53 0.08 0.78
MCB cycle size 3 9 6.70 7.00 643 MAX VALUE 180.49 1.32 0.20 1.64
Triangulated dual graph
Density: 40.56%
Triangles: 62,601
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.81 110.48 0.00 -28.09 0.10 0.12 4.36
Degree 6 90 54.36 60.00 7,338 MAX VALUE 508.85 28.92 0.53 3.79
Eccentricity 2 3 2.41 2.00 325 MAX VALUE 115.88 0.49 0.20 0.68
Triangulated minimal dual graph
Density: 12.27%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.78 0.71 105.03 0.00 -36.76 0.16 0.21 3.18
Degree 2 53 16.44 7.00 2,220 MAX VALUE 297.97 16.96 1.03 3.08
Eccentricity 3 5 3.88 4.00 524 MAX VALUE 181.45 0.60 0.15 0.90
Incidence graph
Density: 1.77%
MCB compute time (ms): 64
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 167.15 2.29 0.74 1.00
Eccentricity 6 8 7.11 7.00 1,244 MAX VALUE 342.68 0.56 0.08 0.84
MCB cycle size 6 10 7.02 6.00 674 MAX VALUE 185.85 1.15 0.16 0.83