Instance: rand-2-40-40-135-650-49_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:40
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 26 14.01 14.00 151,314 MAX VALUE 28,243.30 3.02 0.22 2.52
Relational linkage 0.10 0.40 0.25 0.25 406.25 0.00 -2,224.24 0.05 0.19 2.08
Tightness 0.63 0.68 0.65 0.65 87.71 0.00 -58.23 0.01 0.02 3.84
Tuples 515 598 560.42 562.00 75,657 MAX VALUE 854.31 17.39 0.03 3.84
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 7.00 270 1.12e+32 73.79 2.34 0.35 2.14
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: 26
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 3 22 10.62 9.50 276 1.22e+25 57.77 5.35 0.50 2.51
Cluster variables 4 15 8.19 7.50 213 5.16e+22 52.30 3.53 0.43 2.24
Separator constraints 0 17 5.42 4.50 141 0 None 4.65 0.86 2.43
Separator variables 0 14 6.65 6.00 173 0 None 3.52 0.53 2.29
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 13 174 61.68 52.00 2,344 MAX VALUE 149.13 38.26 0.62 3.37
Cluster variables 7 53 19.79 16.00 752 MAX VALUE 107.89 11.64 0.59 3.00
Separator constraints 0 96 38.37 37.00 1,458 0 None 23.56 0.61 3.31
Separator variables 0 41 16.24 14.00 617 0 None 8.85 0.55 2.96
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 0.22 0.20 8.78 0.00 None 0.12 0.55 3.03
Degree 3 12 6.75 7.00 270 1.12e+32 73.79 2.34 0.35 2.14
Eccentricity 3 4 3.08 3.00 123 2.88e+19 44.81 0.26 0.09 0.27
Triangulated primal graph
Density: 35.64%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.81 0.78 32.33 0.00 -9.42 0.17 0.21 2.64
Degree 3 27 13.90 13.00 556 MAX VALUE 95.21 8.52 0.61 2.77
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 9.80%
MCB compute time (ms): 250
MCB cycles: 1,144
Triangles: 1,949
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.73 0.52 0.50 69.88 0.00 -89.65 0.06 0.11 3.93
Degree 6 21 13.13 13.00 1,772 MAX VALUE 344.02 2.97 0.23 2.44
Eccentricity 3 4 3.40 3.00 459 MAX VALUE 163.85 0.49 0.14 0.67
MCB cycle size 3 5 3.49 3.00 3,995 MAX VALUE 1,410.39 0.69 0.20 0.89
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 91
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.90 0.00 None 0.04 5.37 0.22
Degree 2 5 3.41 3.00 460 MAX VALUE 162.48 0.72 0.21 1.06
Eccentricity 6 8 6.72 7.00 907 MAX VALUE 256.76 0.51 0.08 0.74
MCB cycle size 3 9 6.69 7.00 642 MAX VALUE 180.27 1.33 0.20 1.65
Triangulated dual graph
Density: 38.16%
Triangles: 54,824
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.81 0.79 109.45 0.00 -29.48 0.11 0.13 4.44
Degree 6 86 51.14 47.00 6,904 MAX VALUE 500.84 27.87 0.55 3.61
Eccentricity 2 3 2.49 2.00 336 MAX VALUE 120.34 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.98%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.77 0.71 104.58 0.00 -37.56 0.17 0.22 3.10
Degree 2 50 16.06 7.00 2,168 MAX VALUE 296.25 16.59 1.03 2.95
Eccentricity 3 5 3.84 4.00 518 MAX VALUE 179.98 0.57 0.15 0.86
Incidence graph
Density: 1.77%
MCB compute time (ms): 95
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 167.37 2.29 0.74 1.03
Eccentricity 6 8 7.21 7.00 1,261 MAX VALUE 344.91 0.64 0.09 0.95
MCB cycle size 6 10 6.90 6.00 662 MAX VALUE 184.31 1.04 0.15 0.73