Instance: rand-2-40-180-84-900-9_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:21
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 5 38 18.00 18.00 534,552 MAX VALUE 85,047.90 4.05 0.23 2.81
Relational linkage 0.03 0.14 0.08 0.08 514.25 0.00 -17,206.50 0.02 0.21 2.47
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.22
Tuples 3,131 3,354 3,239.94 3,240.00 272,155 MAX VALUE 678.99 51.29 0.02 4.22
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 4.80e+22 52.23 1.82 0.41 1.83
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: 30
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 1 8 3.90 3.00 117 2.87e+15 35.59 2.17 0.56 1.92
Cluster variables 2 11 5.20 4.00 156 8.03e+19 45.83 2.64 0.51 2.05
Separator constraints 0 6 1.10 0.00 33 0 None 1.76 1.60 1.28
Separator variables 0 10 3.87 3.00 116 0 None 2.51 0.65 2.09
Dual tree decomposition
Number of clusters: 38
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 3 51 19.53 15.00 742 MAX VALUE 103.13 13.31 0.68 3.15
Cluster variables 3 27 10.53 9.00 400 2.63e+36 83.86 5.93 0.56 2.63
Separator constraints 0 28 10.39 8.00 395 0 None 8.19 0.79 2.90
Separator variables 0 19 8.32 8.00 316 0 None 4.64 0.56 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 0.30 None 0.00 None None None None None 1.97
Degree 1 9 4.20 4.00 168 4.80e+22 52.23 1.98 0.47 1.96
Eccentricity 4 6 4.55 4.00 182 1.39e+26 60.20 0.67 0.15 0.93
Triangulated primal graph
Density: 21.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 None 0.74 None None None None None 3.05
Degree 1 21 8.55 5.50 342 4.07e+30 70.48 6.74 0.79 2.68
Eccentricity 3 5 3.65 4.00 146 1.77e+22 51.23 0.61 0.17 0.90
Dual graph
Density: 9.95%
MCB compute time (ms): 51
MCB cycles: 275
Triangles: 485
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 0.48 43.10 0.00 -58.02 0.12 0.24 2.95
Degree 2 16 8.26 8.00 694 MAX VALUE 172.17 2.72 0.33 2.37
Eccentricity 4 5 4.24 4.00 356 MAX VALUE 120.91 0.43 0.10 0.55
MCB cycle size 3 5 3.27 3.00 899 MAX VALUE 321.66 0.63 0.19 0.57
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 14
MCB cycles: 45
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 1.08
Degree 1 5 3.05 3.00 256 MAX VALUE 90.96 0.71 0.23 1.04
Eccentricity 6 8 6.71 7.00 564 MAX VALUE 159.63 0.59 0.09 0.88
MCB cycle size 5 9 7.02 7.00 316 5.01e+37 86.81 1.36 0.19 1.54
Triangulated dual graph
Density: 28.92%
Triangles: 7,371
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.78 0.75 65.52 0.00 -22.01 0.13 0.17 3.90
Degree 2 51 24.00 24.00 2,016 MAX VALUE 243.68 14.86 0.62 3.47
Eccentricity 3 4 3.27 3.00 275 MAX VALUE 98.90 0.45 0.14 0.59
Triangulated minimal dual graph
Density: 11.99%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 None 0.67 None None None None None 3.25
Degree 1 32 9.95 5.00 836 MAX VALUE 157.07 8.96 0.90 2.83
Eccentricity 3 5 3.88 4.00 326 MAX VALUE 112.86 0.61 0.16 0.91
Incidence graph
Density: 2.20%
MCB compute time (ms): 23
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 0.98
Degree 1 9 2.71 2.00 336 MAX VALUE 110.45 1.52 0.56 1.10
Eccentricity 8 12 9.29 9.00 1,152 MAX VALUE 275.61 1.07 0.12 1.35
MCB cycle size 6 10 8.36 8.00 376 MAX VALUE 94.78 1.48 0.18 1.05