Instance: rand-2-40-180-84-900-45_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:18
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: 29,700
Number of unique subscopes: 37
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 34 18.02 18.00 535,149 MAX VALUE 85,094.20 4.03 0.22 2.81
Relational linkage 0.02 0.15 0.08 0.08 514.23 0.00 -17,194.00 0.02 0.20 2.42
Tightness 0.90 0.90 0.90 0.90 75.59 0.00 -8.86 0.00 0.00 4.23
Tuples 3,127 3,378 3,243.94 3,240.00 272,491 MAX VALUE 679.09 52.87 0.02 4.23
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 9 4.46 4.00 165 6.71e+22 52.56 1.76 0.40 1.79
Partitions per subscope 180 180 180.00 180.00 6,660 MAX VALUE 192.14 0.00 0.00 0.00
Tree decomposition
Number of clusters: 32
Number of leaves: 13
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1 9 3.97 3.50 127 1.02e+17 39.16 2.13 0.54 1.98
Cluster variables 2 9 5.28 5.00 169 6.64e+21 50.25 2.21 0.42 1.99
Separator constraints 0 7 1.34 1.00 43 0 None 1.83 1.36 1.45
Separator variables 0 8 4.03 4.00 129 0 None 2.23 0.55 2.06
Dual tree decomposition
Number of clusters: 38
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 4 50 18.92 15.00 719 MAX VALUE 102.16 13.86 0.73 2.80
Cluster variables 4 26 10.50 8.50 399 3.36e+36 84.11 5.83 0.56 2.68
Separator constraints 0 31 9.89 7.00 376 0 None 8.26 0.83 2.75
Separator variables 0 19 8.29 7.00 315 0 None 4.52 0.55 2.63
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 0.50 None 0.05 None None None None None 2.01
Degree 1 9 4.20 4.00 168 6.71e+22 52.56 1.93 0.46 1.92
Eccentricity 4 5 4.20 4.00 168 7.21e+24 57.24 0.40 0.10 0.50
Triangulated primal graph
Density: 21.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.38 1.00 None 0.68 None None None None None 3.06
Degree 1 22 8.25 5.50 330 5.16e+30 70.72 6.21 0.75 2.64
Eccentricity 3 5 3.60 4.00 144 1.06e+22 50.72 0.58 0.16 0.86
Dual graph
Density: 9.84%
MCB compute time (ms): 48
MCB cycles: 266
Triangles: 480
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 0.51 0.49 42.89 0.00 -58.38 0.12 0.24 3.13
Degree 3 16 8.17 8.00 686 MAX VALUE 171.24 2.74 0.34 2.35
Eccentricity 3 5 3.98 4.00 334 MAX VALUE 115.74 0.27 0.07 0.30
MCB cycle size 3 6 3.24 3.00 861 MAX VALUE 308.51 0.64 0.20 0.54
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 15
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.05 5.41 0.18
Degree 2 4 3.05 3.00 256 MAX VALUE 91.31 0.69 0.23 1.02
Eccentricity 6 8 6.68 7.00 561 MAX VALUE 159.25 0.52 0.08 0.75
MCB cycle size 3 10 7.22 7.00 325 1.50e+38 87.90 1.44 0.20 1.73
Triangulated dual graph
Density: 28.83%
Triangles: 7,305
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.78 0.75 65.66 0.00 -21.80 0.13 0.16 3.90
Degree 3 51 23.93 20.50 2,010 MAX VALUE 243.84 14.81 0.62 3.49
Eccentricity 2 4 3.02 3.00 254 MAX VALUE 92.15 0.41 0.13 0.56
Triangulated minimal dual graph
Density: 11.73%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.74 0.67 61.99 0.00 -28.49 0.20 0.27 2.76
Degree 2 31 9.74 5.00 818 MAX VALUE 154.70 9.17 0.94 2.66
Eccentricity 3 5 3.86 4.00 324 MAX VALUE 112.48 0.56 0.15 0.84
Incidence graph
Density: 2.20%
MCB compute time (ms): 25
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 0.96
Degree 1 9 2.71 2.00 336 MAX VALUE 110.78 1.50 0.55 1.12
Eccentricity 7 11 8.77 9.00 1,088 MAX VALUE 268.93 0.68 0.08 1.00
MCB cycle size 6 12 8.13 8.00 366 MAX VALUE 93.30 1.71 0.21 1.18