Instance: rand-2-40-180-84-900-54_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:23
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: 29,700
Number of unique subscopes: 37
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 166 9.67e+24 57.53 0.00 0.00 0.00
Coarse blocks size 5 37 18.06 18.00 536,468 MAX VALUE 85,173.30 4.03 0.22 2.81
Relational linkage 0.03 0.15 0.08 0.08 518.95 0.00 -17,136.30 0.02 0.20 2.45
Tightness 0.90 0.90 0.90 0.90 74.67 0.00 -8.78 0.00 0.00 4.20
Tuples 3,100 3,390 3,251.69 3,256.00 269,890 MAX VALUE 671.20 56.19 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 11 4.46 4.00 165 3.44e+22 51.89 2.06 0.46 1.80
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: 28
Number of leaves: 13
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 13 5.11 4.50 143 1.63e+17 39.63 3.30 0.65 2.26
Cluster variables 2 11 5.29 5.00 148 1.58e+19 44.20 2.28 0.43 1.93
Separator constraints 0 10 2.14 1.00 60 0 None 2.81 1.31 1.76
Separator variables 0 9 3.93 3.50 110 0 None 2.14 0.54 1.93
Dual tree decomposition
Number of clusters: 36
Number of leaves: 12
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 2 75 21.36 15.00 769 MAX VALUE 97.96 18.25 0.85 2.93
Cluster variables 4 26 10.78 9.00 388 5.78e+34 80.04 6.25 0.58 2.54
Separator constraints 0 41 11.25 8.00 405 0 None 9.94 0.88 2.62
Separator variables 0 20 8.47 7.00 305 0 None 4.84 0.57 2.53
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 0.67 None 0.10 None None None None None 2.25
Degree 1 11 4.37 4.00 166 3.44e+22 51.89 2.11 0.48 1.87
Eccentricity 3 5 4.00 4.00 152 5.47e+22 52.36 0.51 0.13 0.76
Triangulated primal graph
Density: 23.47%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.39 1.00 None 0.70 None None None None None 2.89
Degree 1 23 8.68 6.00 330 3.71e+30 70.39 6.31 0.73 2.60
Eccentricity 3 5 3.58 4.00 136 6.66e+20 47.95 0.59 0.17 0.86
Dual graph
Density: 10.70%
MCB compute time (ms): 57
MCB cycles: 309
Triangles: 607
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 42.44 0.00 -57.32 0.11 0.21 3.12
Degree 3 20 8.77 8.00 728 MAX VALUE 173.01 3.58 0.41 2.49
Eccentricity 3 4 3.83 4.00 318 MAX VALUE 111.03 0.37 0.10 0.45
MCB cycle size 3 6 3.22 3.00 996 MAX VALUE 358.40 0.52 0.16 0.58
Minimal dual graph
Density: 3.76%
MCB compute time (ms): 16
MCB cycles: 46
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.67 0.00 None 0.04 5.49 0.18
Degree 2 4 3.08 3.00 256 MAX VALUE 91.43 0.66 0.21 0.99
Eccentricity 6 8 6.86 7.00 569 MAX VALUE 159.46 0.60 0.09 0.91
MCB cycle size 3 9 6.72 7.00 309 3.98e+37 86.58 1.33 0.20 1.61
Triangulated dual graph
Density: 30.53%
Triangles: 7,968
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.79 0.77 65.56 0.00 -20.65 0.13 0.16 3.86
Degree 3 52 25.04 25.00 2,078 MAX VALUE 244.17 15.34 0.61 3.44
Eccentricity 2 4 2.99 3.00 248 MAX VALUE 89.95 0.42 0.14 0.60
Triangulated minimal dual graph
Density: 11.81%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.75 0.67 61.88 0.00 -27.77 0.21 0.28 2.78
Degree 2 30 9.69 5.00 804 MAX VALUE 153.83 8.72 0.90 2.70
Eccentricity 3 5 4.04 4.00 335 MAX VALUE 114.83 0.61 0.15 0.92
Incidence graph
Density: 2.29%
MCB compute time (ms): 22
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 0.42
Degree 1 11 2.74 2.00 332 MAX VALUE 109.42 1.61 0.59 1.05
Eccentricity 6 10 8.33 8.00 1,008 MAX VALUE 255.89 0.83 0.10 1.21
MCB cycle size 6 12 7.52 8.00 346 MAX VALUE 92.02 1.46 0.19 0.97
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 -0.10 0.00 0.00 0.00
Tuples 3,173 3,173 3,173.00 3,173.00 3,173 3,173 8.06 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