Instance: rand-2-40-180-84-900-32_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: 29,520
Number of unique subscopes: 36
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 2 35 18.00 18.00 531,505 MAX VALUE 84,562.40 4.01 0.22 2.80
Relational linkage 0.01 0.14 0.08 0.08 499.48 0.00 -16,741.40 0.02 0.20 2.42
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.14
Tuples 3,120 3,363 3,240.92 3,236.00 272,237 MAX VALUE 679.01 50.60 0.02 4.14
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 11 4.56 4.00 164 3.74e+22 51.98 1.82 0.40 1.82
Partitions per subscope 180 180 180.00 180.00 6,480 MAX VALUE 186.95 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
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 1 9 4.07 4.00 122 1.23e+16 37.05 2.13 0.52 2.02
Cluster variables 2 11 5.33 4.50 160 1.68e+20 46.57 2.64 0.49 2.06
Separator constraints 0 7 1.27 0.00 38 0 None 1.79 1.41 1.38
Separator variables 0 10 4.00 3.00 120 0 None 2.53 0.63 2.12
Dual tree decomposition
Number of clusters: 37
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 69 19.51 15.00 722 MAX VALUE 102.43 13.65 0.70 3.02
Cluster variables 4 28 10.81 9.00 400 1.29e+36 83.15 6.06 0.56 2.65
Separator constraints 0 29 10.03 7.00 371 0 None 7.15 0.71 2.79
Separator variables 0 20 8.54 7.00 316 0 None 4.75 0.56 2.59
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 0.08 None None None None None 2.32
Degree 1 11 4.20 4.00 168 3.74e+22 51.98 2.03 0.48 1.96
Eccentricity 3 5 4.15 4.00 166 3.80e+24 56.60 0.53 0.13 0.78
Triangulated primal graph
Density: 22.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.30 1.00 None 0.78 None None None None None 3.17
Degree 1 24 8.75 6.00 350 8.56e+30 71.22 6.91 0.79 2.80
Eccentricity 3 5 3.67 4.00 147 2.22e+22 51.45 0.65 0.18 0.95
Dual graph
Density: 10.07%
MCB compute time (ms): 47
MCB cycles: 271
Triangles: 518
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 0.53 0.49 44.35 0.00 -55.89 0.14 0.26 3.20
Degree 3 16 8.36 8.00 702 MAX VALUE 173.25 2.91 0.35 2.37
Eccentricity 3 5 3.98 4.00 334 MAX VALUE 115.68 0.31 0.08 0.38
MCB cycle size 3 7 3.20 3.00 867 MAX VALUE 312.05 0.55 0.17 0.50
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 11
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 5 3.05 3.00 256 MAX VALUE 91.84 0.62 0.20 0.93
Eccentricity 6 8 6.86 7.00 576 MAX VALUE 161.44 0.56 0.08 0.84
MCB cycle size 3 9 6.98 7.00 314 3.65e+37 86.49 1.31 0.19 1.54
Triangulated dual graph
Density: 29.60%
Triangles: 7,867
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.79 0.76 66.27 0.00 -21.02 0.13 0.16 3.76
Degree 3 50 24.57 23.50 2,064 MAX VALUE 245.53 15.41 0.63 3.47
Eccentricity 2 4 3.04 3.00 255 MAX VALUE 92.20 0.47 0.16 0.69
Triangulated minimal dual graph
Density: 12.16%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.75 0.67 62.98 0.00 -27.42 0.21 0.27 2.73
Degree 2 30 10.10 5.00 848 MAX VALUE 157.69 9.35 0.93 2.73
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): 20
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 1.04
Degree 1 11 2.71 2.00 336 MAX VALUE 110.20 1.54 0.57 1.16
Eccentricity 7 11 8.56 8.50 1,061 MAX VALUE 265.63 0.82 0.10 1.19
MCB cycle size 6 10 8.04 8.00 362 MAX VALUE 93.09 1.43 0.18 1.05