Instance: rand-2-40-180-84-900-75_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:20
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 36 18.03 18.00 535,455 MAX VALUE 85,115.80 4.01 0.22 2.80
Relational linkage 0.02 0.14 0.08 0.08 516.83 0.00 -17,167.40 0.02 0.20 2.45
Tightness 0.89 0.90 0.90 0.90 75.59 0.00 -8.86 0.00 0.00 4.27
Tuples 3,108 3,411 3,244.87 3,242.50 272,569 MAX VALUE 679.11 59.70 0.02 4.27
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 8 4.46 4.00 165 5.16e+22 52.30 1.73 0.39 1.86
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: 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 1 12 4.37 3.50 131 8.05e+15 36.62 3.27 0.75 1.85
Cluster variables 2 11 5.40 5.00 162 2.68e+20 47.04 2.63 0.49 2.13
Separator constraints 0 10 1.57 0.00 47 0 None 2.74 1.75 1.34
Separator variables 0 9 4.07 3.50 122 0 None 2.53 0.62 2.13
Dual tree decomposition
Number of clusters: 38
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 4 66 19.71 15.50 749 MAX VALUE 104.05 13.70 0.69 3.03
Cluster variables 4 25 10.71 9.00 407 9.83e+36 85.18 5.84 0.55 2.56
Separator constraints 0 34 10.74 10.00 408 0 None 8.64 0.80 2.91
Separator variables 0 20 8.50 7.50 323 0 None 4.63 0.55 2.62
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 0.33 None 0.00 None None None None None 1.78
Degree 1 8 4.20 4.00 168 5.16e+22 52.30 1.90 0.45 1.98
Eccentricity 3 5 4.25 4.00 170 1.06e+25 57.62 0.49 0.11 0.70
Triangulated primal graph
Density: 22.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 None 0.72 None None None None None 3.12
Degree 1 21 8.85 5.50 354 2.77e+31 72.40 6.62 0.75 2.66
Eccentricity 2 4 3.12 3.00 125 2.84e+19 44.79 0.60 0.19 0.90
Dual graph
Density: 9.78%
MCB compute time (ms): 42
MCB cycles: 276
Triangles: 444
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 0.50 0.47 42.38 0.00 -59.39 0.12 0.24 3.11
Degree 3 14 8.12 8.00 682 MAX VALUE 171.49 2.49 0.31 2.30
Eccentricity 3 5 4.06 4.00 341 MAX VALUE 117.24 0.42 0.10 0.58
MCB cycle size 3 6 3.29 3.00 908 MAX VALUE 324.50 0.64 0.19 0.67
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 4 3.05 3.00 256 MAX VALUE 91.90 0.60 0.20 0.90
Eccentricity 5 8 6.73 7.00 565 MAX VALUE 159.74 0.62 0.09 0.95
MCB cycle size 4 10 7.16 7.00 322 1.28e+38 87.74 1.30 0.18 1.63
Triangulated dual graph
Density: 28.83%
Triangles: 7,317
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.78 0.78 65.87 0.00 -21.69 0.14 0.17 3.85
Degree 3 49 23.93 24.00 2,010 MAX VALUE 244.44 14.77 0.62 3.57
Eccentricity 2 4 3.06 3.00 257 MAX VALUE 92.90 0.47 0.15 0.68
Triangulated minimal dual graph
Density: 12.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.74 0.67 62.11 0.00 -28.28 0.20 0.26 2.84
Degree 2 32 10.38 5.00 872 MAX VALUE 160.79 9.57 0.92 2.70
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): 22
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 0.87
Degree 1 8 2.71 2.00 336 MAX VALUE 110.52 1.49 0.55 1.11
Eccentricity 7 11 8.79 9.00 1,090 MAX VALUE 268.97 0.84 0.10 1.23
MCB cycle size 6 12 8.18 8.00 368 MAX VALUE 93.87 1.45 0.18 1.06