Instance: rand-2-40-80-103-800-35_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:50
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,400
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 4 31 15.98 16.00 262,143 MAX VALUE 45,019.20 3.59 0.22 2.69
Relational linkage 0.05 0.28 0.15 0.15 471.74 0.00 -5,962.99 0.03 0.21 2.32
Tightness 0.79 0.82 0.80 0.80 82.42 0.00 -22.96 0.00 0.01 4.10
Tuples 1,180 1,360 1,278.97 1,281.00 131,734 MAX VALUE 736.81 31.56 0.02 4.10
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 11 5.26 5.00 205 1.85e+26 60.48 2.37 0.45 2.10
Partitions per subscope 80 80 80.00 80.00 3,120 MAX VALUE 170.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 15
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 17 6.11 4.00 171 1.37e+19 44.06 4.14 0.68 2.41
Cluster variables 2 13 5.93 5.00 166 1.94e+20 46.71 2.91 0.49 2.03
Separator constraints 0 12 2.43 1.00 68 0 None 3.04 1.25 1.82
Separator variables 0 12 4.50 4.00 126 0 None 2.72 0.60 2.08
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 4 107 34.11 26.50 1,296 MAX VALUE 122.16 25.57 0.75 3.33
Cluster variables 4 39 13.89 11.00 528 MAX VALUE 93.93 8.51 0.61 2.79
Separator constraints 0 60 19.74 17.50 750 0 None 15.72 0.80 3.15
Separator variables 0 30 11.18 9.50 425 0 None 6.60 0.59 2.91
Primal graph
Density: 13.21%
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 0.18 None None None None None 2.57
Degree 1 11 5.15 5.00 206 1.85e+26 60.48 2.43 0.47 2.16
Eccentricity 3 5 3.73 4.00 149 4.49e+22 52.16 0.55 0.15 0.81
Triangulated primal graph
Density: 26.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 None 0.74 None None None None None 2.84
Degree 1 23 10.20 7.00 408 2.09e+34 79.03 7.52 0.74 2.60
Eccentricity 2 4 2.88 3.00 115 1.00e+18 41.45 0.56 0.19 0.83
Dual graph
Density: 10.39%
MCB compute time (ms): 127
MCB cycles: 452
Triangles: 1,016
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 0.50 54.78 0.00 -66.62 0.10 0.19 3.64
Degree 3 18 10.60 11.00 1,092 MAX VALUE 237.40 3.33 0.31 2.55
Eccentricity 3 5 3.98 4.00 410 MAX VALUE 142.08 0.24 0.06 0.26
MCB cycle size 3 6 3.11 3.00 1,406 MAX VALUE 509.91 0.42 0.13 0.34
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 28
MCB cycles: 64
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 3.22 3.00 332 MAX VALUE 117.93 0.71 0.22 1.07
Eccentricity 6 8 6.80 7.00 700 MAX VALUE 196.99 0.60 0.09 0.89
MCB cycle size 4 10 6.69 7.00 428 MAX VALUE 120.33 1.31 0.20 1.63
Triangulated dual graph
Density: 34.04%
Triangles: 19,810
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.81 0.79 83.02 0.00 -23.19 0.11 0.14 4.05
Degree 3 65 34.72 35.00 3,576 MAX VALUE 337.59 20.79 0.60 3.52
Eccentricity 2 3 2.51 3.00 259 MAX VALUE 92.88 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.01%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.76 0.67 77.87 0.00 -31.93 0.19 0.25 2.97
Degree 2 40 12.25 5.00 1,262 MAX VALUE 206.71 12.02 0.98 2.84
Eccentricity 3 5 3.80 4.00 391 MAX VALUE 136.23 0.56 0.15 0.84
Incidence graph
Density: 2.03%
MCB compute time (ms): 39
MCB cycles: 64
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 0.47
Degree 1 11 2.88 2.00 412 MAX VALUE 131.87 1.91 0.66 1.08
Eccentricity 7 10 8.15 8.00 1,166 MAX VALUE 299.63 0.65 0.08 0.97
MCB cycle size 6 10 7.28 6.00 466 MAX VALUE 125.76 1.52 0.21 1.00