Instance: rand-2-40-180-84-900-58_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:13
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 38
Number of constraints: 83
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 2.00 166 9.67e+24 57.53 0.00 0.00 0.00
Coarse blocks size 5 35 17.99 18.00 530,935 MAX VALUE 84,521.60 4.02 0.22 2.81
Relational linkage 0.03 0.14 0.08 0.08 500.06 0.00 -16,743.10 0.02 0.21 2.46
Tightness 0.90 0.90 0.90 0.90 74.71 0.00 -8.74 0.00 0.00 4.20
Tuples 3,132 3,364 3,237.86 3,236.00 268,742 MAX VALUE 670.85 52.48 0.02 4.20
Domain size 180 180 180.00 180.00 6,840 MAX VALUE 197.33 0.00 0.00 0.00
Constraints per subscope 2 8 4.56 4.00 164 2.44e+22 51.55 1.82 0.40 1.87
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: 28
Number of leaves: 12
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 12 4.32 4.00 121 1.16e+15 34.68 2.89 0.67 2.10
Cluster variables 2 10 4.93 4.50 138 1.96e+18 42.12 2.12 0.43 1.92
Separator constraints 0 9 1.36 1.00 38 0 None 2.04 1.50 1.46
Separator variables 0 8 3.57 3.00 100 0 None 1.99 0.56 1.88
Dual tree decomposition
Number of clusters: 36
Number of leaves: 10
Tree depth: 9
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 48 19.58 17.00 705 MAX VALUE 99.03 12.02 0.61 3.09
Cluster variables 3 23 10.25 9.00 369 3.29e+34 79.48 5.04 0.49 2.59
Separator constraints 0 31 9.83 8.50 354 0 None 6.89 0.70 2.78
Separator variables 0 17 7.94 7.00 286 0 None 3.96 0.50 2.52
Primal graph
Density: 11.81%
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 0.10 None None None None None 2.25
Degree 1 8 4.37 4.00 166 2.44e+22 51.55 1.94 0.44 1.98
Eccentricity 3 6 4.55 5.00 173 6.64e+24 57.15 0.68 0.15 1.02
Triangulated primal graph
Density: 21.34%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 None 0.76 None None None None None 2.99
Degree 1 22 7.89 5.50 300 5.76e+28 66.22 5.92 0.75 2.69
Eccentricity 3 5 3.89 4.00 148 1.73e+22 51.21 0.60 0.15 0.90
Dual graph
Density: 10.31%
MCB compute time (ms): 32
MCB cycles: 323
Triangles: 486
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 0.52 0.49 42.93 0.00 None 0.12 0.23 3.22
Degree 2 14 8.46 9.00 702 MAX VALUE 172.74 2.47 0.29 2.24
Eccentricity 3 5 4.25 4.00 353 MAX VALUE 119.68 0.46 0.11 0.64
MCB cycle size 3 6 3.39 3.00 1,095 MAX VALUE 388.57 0.70 0.21 0.79
Minimal dual graph
Density: 3.76%
MCB compute time (ms): 12
MCB cycles: 46
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 3.08 3.00 256 MAX VALUE 91.54 0.66 0.21 0.99
Eccentricity 5 8 6.66 7.00 553 MAX VALUE 157.02 0.65 0.10 0.97
MCB cycle size 4 9 6.74 7.00 310 6.99e+37 87.14 1.07 0.16 1.47
Triangulated dual graph
Density: 26.12%
Triangles: 5,532
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.77 0.75 63.73 0.00 -23.21 0.13 0.17 4.03
Degree 2 49 21.42 18.00 1,778 MAX VALUE 234.84 12.88 0.60 3.44
Eccentricity 3 5 3.66 4.00 304 MAX VALUE 106.81 0.54 0.15 0.80
Triangulated minimal dual graph
Density: 11.81%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.73 0.67 60.93 0.00 -28.79 0.20 0.27 2.64
Degree 2 29 9.69 5.00 804 MAX VALUE 155.80 8.67 0.90 2.77
Eccentricity 3 6 4.63 5.00 384 MAX VALUE 126.08 0.72 0.16 1.09
Incidence graph
Density: 2.29%
MCB compute time (ms): 17
MCB cycles: 46
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 0.89
Degree 1 8 2.74 2.00 332 MAX VALUE 109.08 1.55 0.56 1.08
Eccentricity 7 12 9.26 9.00 1,120 MAX VALUE 268.38 1.12 0.12 1.47
MCB cycle size 6 12 7.74 8.00 356 MAX VALUE 93.46 1.36 0.18 0.90
Component #2 Number of variables: 2
Number of constraints: 1
General features
Number of coarse blocks: 0
Number of unique subscopes: 0
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 2 2 0.69 0.00 0.00 0.00
Coarse blocks size None None None None 0 1 0.00 None None 0.00
Relational linkage None None None None 0.00 1.00 0.00 None None 0.00
Tightness 0.90 0.90 0.90 0.90 0.90 0.90 -0.11 0.00 0.00 0.00
Tuples 3,282 3,282 3,282.00 3,282.00 3,282 3,282 8.10 0.00 0.00 0.00
Domain size 180 180 180.00 180.00 360 32,400 10.39 0.00 0.00 0.00
Constraints per subscope None None None None 0 1 0.00 None None 0.00
Partitions per subscope None None None None 0 1 0.00 None None 0.00
Tree decomposition
Number of clusters: 1
Number of leaves: 1
Tree depth: 0
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1 1 1.00 1.00 1 1 0.00 0.00 0.00 0.00
Cluster variables 2 2 2.00 2.00 2 2 0.69 0.00 0.00 0.00
Separator constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Separator variables 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Dual tree decomposition
Number of clusters: 1
Number of leaves: 1
Tree depth: 0
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Cluster variables 1 1 1.00 1.00 1 1 0.00 0.00 0.00 0.00
Separator constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Separator variables 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Primal graph
Density: 100.00%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 0.69
Degree 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00
Eccentricity 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00
Triangulated primal graph
Density: 100.00%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 0.69
Degree 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00
Eccentricity 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00
Dual graph
Density: None%
MCB compute time (ms): 0
MCB cycles: 0
Triangles: 0
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 0.00
Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00
MCB cycle size None None None None 0 1 0.00 None None 0.00
Minimal dual graph
Density: None%
MCB compute time (ms): 0
MCB cycles: 0
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 0.00
Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00
MCB cycle size None None None None 0 1 0.00 None None 0.00
Triangulated dual graph
Density: None%
Triangles: 0
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 0.00
Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Triangulated minimal dual graph
Density: None%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 0.00
Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00
Incidence graph
Density: 66.67%
MCB compute time (ms): 0
MCB cycles: 0
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None 1.10
Degree 1 2 1.33 1.00 4 2 0.69 0.47 0.35 0.64
Eccentricity 1 2 1.67 2.00 5 4 1.39 0.47 0.28 0.64
MCB cycle size None None None None 0 1 0.00 None None 0.00