Instance: rand-2-40-80-103-800-99_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:01
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: 16,480
Number of unique subscopes: 40
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 30 16.04 16.00 264,402 MAX VALUE 45,304.70 3.57 0.22 2.69
Relational linkage 0.05 0.29 0.15 0.15 484.50 0.00 -6,110.02 0.03 0.20 2.31
Tightness 0.79 0.81 0.80 0.80 82.34 0.00 -23.06 0.01 0.01 4.16
Tuples 1,200 1,372 1,283.50 1,282.00 132,201 MAX VALUE 737.17 36.14 0.03 4.16
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 10 5.15 5.00 206 1.22e+27 62.37 1.90 0.37 1.93
Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
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 0 19 6.75 5.00 189 0 None 5.19 0.77 2.25
Cluster variables 3 13 7.00 6.00 196 1.72e+22 51.20 3.37 0.48 2.16
Separator constraints 0 16 3.07 1.00 86 0 None 4.77 1.55 1.73
Separator variables 0 12 5.57 5.00 156 0 None 3.34 0.60 2.22
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 1 87 31.55 25.00 1,199 MAX VALUE 117.77 22.72 0.72 3.27
Cluster variables 3 38 14.00 12.00 532 MAX VALUE 93.26 8.69 0.62 2.98
Separator constraints 0 48 18.39 15.00 699 0 None 14.02 0.76 3.14
Separator variables 0 28 11.29 10.00 429 0 None 6.79 0.60 2.98
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 0.33 0.09 0.07 3.46 0.00 None 0.10 1.15 2.08
Degree 2 10 5.15 5.00 206 1.22e+27 62.37 1.90 0.37 1.93
Eccentricity 3 6 4.62 5.00 185 2.65e+26 60.84 0.66 0.14 1.00
Triangulated primal graph
Density: 30.00%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.78 0.75 31.31 0.00 -10.95 0.18 0.23 2.70
Degree 2 25 11.70 9.00 468 5.49e+37 86.90 7.68 0.66 2.73
Eccentricity 3 5 3.80 4.00 152 9.97e+22 52.96 0.56 0.15 0.83
Dual graph
Density: 9.52%
MCB compute time (ms): 102
MCB cycles: 604
Triangles: 778
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 0.75 0.47 0.47 48.88 0.00 None 0.08 0.18 3.09
Degree 2 16 9.71 10.00 1,000 MAX VALUE 228.33 2.85 0.29 2.36
Eccentricity 4 6 4.75 5.00 489 MAX VALUE 159.60 0.60 0.13 0.90
MCB cycle size 3 7 3.70 3.00 2,233 MAX VALUE 773.23 0.90 0.24 1.02
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 41
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 118.53 0.62 0.19 0.94
Eccentricity 6 8 6.89 7.00 710 MAX VALUE 198.40 0.64 0.09 0.96
MCB cycle size 4 9 6.94 7.00 444 MAX VALUE 123.05 1.14 0.16 1.54
Triangulated dual graph
Density: 34.48%
Triangles: 20,186
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.80 0.77 82.31 0.00 -24.14 0.11 0.14 4.15
Degree 2 64 35.16 36.00 3,622 MAX VALUE 338.44 20.69 0.59 3.69
Eccentricity 2 4 3.11 3.00 320 MAX VALUE 115.61 0.46 0.15 0.66
Triangulated minimal dual graph
Density: 12.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.77 0.67 78.82 0.00 -30.65 0.19 0.24 2.89
Degree 2 38 12.50 6.00 1,288 MAX VALUE 208.42 12.26 0.98 2.75
Eccentricity 3 5 3.75 4.00 386 MAX VALUE 135.05 0.52 0.14 0.75
Incidence graph
Density: 2.03%
MCB compute time (ms): 40
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 10 2.88 2.00 412 MAX VALUE 133.76 1.74 0.60 0.99
Eccentricity 7 13 9.90 10.00 1,415 MAX VALUE 326.79 1.15 0.12 1.55
MCB cycle size 6 14 7.66 8.00 490 MAX VALUE 129.25 1.44 0.19 0.93