Instance: rand-2-40-180-84-900-21_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:26
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 30,060
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 35 18.01 18.00 541,312 MAX VALUE 86,102.80 4.03 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 544.13 0.00 -18,100.60 0.02 0.20 2.44
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.17
Tuples 3,140 3,357 3,241.44 3,231.00 272,281 MAX VALUE 679.03 52.34 0.02 4.17
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 8 4.28 4.00 167 5.02e+23 54.57 1.41 0.33 1.63
Partitions per subscope 180 180 180.00 180.00 7,020 MAX VALUE 202.53 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
Number of leaves: 13
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 1 8 3.93 3.00 118 2.56e+16 37.78 1.84 0.47 1.82
Cluster variables 2 11 5.80 5.00 174 4.71e+21 49.90 2.57 0.44 2.05
Separator constraints 0 6 1.13 0.00 34 0 None 1.63 1.44 1.41
Separator variables 0 10 4.47 4.00 134 0 None 2.53 0.57 2.12
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 6 39 17.29 13.00 657 MAX VALUE 102.56 9.79 0.57 2.89
Cluster variables 5 27 10.66 9.00 405 1.14e+37 85.33 5.75 0.54 2.40
Separator constraints 0 21 9.05 7.00 344 0 None 5.89 0.65 2.62
Separator variables 0 20 8.45 7.50 321 0 None 4.52 0.54 2.49
Primal graph
Density: 10.77%
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 1.00 None 0.00 None None None None None 1.65
Degree 1 8 4.20 4.00 168 5.02e+23 54.57 1.49 0.35 1.70
Eccentricity 3 5 4.10 4.00 164 2.77e+24 56.28 0.37 0.09 0.49
Triangulated primal graph
Density: 24.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 None 0.71 None None None None None 2.70
Degree 1 23 9.45 7.00 378 3.31e+33 77.18 6.78 0.72 2.68
Eccentricity 2 4 3.20 3.00 128 8.53e+19 45.89 0.56 0.17 0.83
Dual graph
Density: 8.98%
MCB compute time (ms): 44
MCB cycles: 230
Triangles: 356
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 1.00 0.49 0.47 40.92 0.00 -61.61 0.09 0.19 2.72
Degree 4 12 7.45 7.00 626 MAX VALUE 165.68 1.98 0.27 2.02
Eccentricity 4 5 4.05 4.00 340 MAX VALUE 117.34 0.21 0.05 0.19
MCB cycle size 3 6 3.26 3.00 749 MAX VALUE 268.19 0.63 0.19 0.57
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 13
MCB cycles: 45
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 3.05 3.00 256 MAX VALUE 91.60 0.65 0.21 0.99
Eccentricity 6 8 6.67 7.00 560 MAX VALUE 159.06 0.56 0.08 0.83
MCB cycle size 4 9 7.24 7.00 326 2.48e+38 88.41 1.21 0.17 1.55
Triangulated dual graph
Density: 28.66%
Triangles: 7,295
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.79 0.77 66.16 0.00 -21.23 0.13 0.17 3.80
Degree 4 50 23.79 21.50 1,998 MAX VALUE 243.34 15.09 0.63 3.42
Eccentricity 2 3 2.70 3.00 227 4.74e+35 82.15 0.46 0.17 0.61
Triangulated minimal dual graph
Density: 11.50%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.74 0.67 62.57 0.00 -27.88 0.20 0.27 2.64
Degree 2 31 9.55 5.00 802 MAX VALUE 153.40 9.05 0.95 2.62
Eccentricity 3 5 3.79 4.00 318 MAX VALUE 110.88 0.56 0.15 0.83
Incidence graph
Density: 2.20%
MCB compute time (ms): 21
MCB cycles: 45
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 None 0.00 None None None None None 0.65
Degree 1 8 2.71 2.00 336 MAX VALUE 112.80 1.33 0.49 1.07
Eccentricity 7 11 8.73 9.00 1,083 MAX VALUE 268.40 0.65 0.07 0.95
MCB cycle size 6 12 8.62 8.00 388 MAX VALUE 96.14 1.57 0.18 1.12