Instance: rand-2-40-40-135-650-48_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:45
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 4 26 14.04 14.00 151,640 MAX VALUE 28,265.80 3.03 0.22 2.52
Relational linkage 0.10 0.42 0.25 0.25 407.80 0.00 -2,218.31 0.05 0.19 2.07
Tightness 0.61 0.69 0.65 0.65 87.61 0.00 -58.40 0.01 0.02 4.06
Tuples 504 619 561.63 562.00 75,820 MAX VALUE 854.56 22.35 0.04 4.06
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 12 6.75 6.00 270 1.50e+32 74.09 2.28 0.34 2.07
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 25
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 4 31 11.32 7.00 283 9.62e+23 55.22 8.11 0.72 2.41
Cluster variables 4 16 8.48 7.00 212 1.62e+22 51.14 3.75 0.44 2.16
Separator constraints 0 26 5.92 2.00 148 0 None 7.05 1.19 2.22
Separator variables 0 15 6.88 6.00 172 0 None 3.70 0.54 2.21
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 16 165 60.55 56.00 2,301 MAX VALUE 148.19 38.07 0.63 3.40
Cluster variables 8 54 20.08 15.00 763 MAX VALUE 108.09 12.15 0.61 3.02
Separator constraints 0 88 37.39 36.00 1,421 0 None 22.72 0.61 3.10
Separator variables 0 42 16.53 14.00 628 0 None 9.30 0.56 2.86
Primal graph
Density: 17.31%
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 0.14 0.13 5.42 0.00 None 0.09 0.65 2.90
Degree 3 12 6.75 6.00 270 1.50e+32 74.09 2.28 0.34 2.07
Eccentricity 2 4 3.00 3.00 120 9.61e+18 43.71 0.32 0.11 0.39
Triangulated primal graph
Density: 37.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.79 32.37 0.00 -9.24 0.16 0.19 2.79
Degree 3 28 14.60 14.50 584 MAX VALUE 97.72 8.63 0.59 2.69
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.73%
MCB compute time (ms): 271
MCB cycles: 863
Triangles: 1,898
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.66 0.51 0.49 68.52 0.00 -92.11 0.05 0.09 3.85
Degree 7 21 13.04 13.00 1,760 MAX VALUE 342.73 3.03 0.23 2.43
Eccentricity 3 4 3.36 3.00 453 MAX VALUE 162.12 0.48 0.14 0.65
MCB cycle size 3 5 3.24 3.00 2,795 MAX VALUE 1,005.69 0.49 0.15 0.60
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 65
MCB cycles: 96
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 3.41 3.00 460 MAX VALUE 162.27 0.72 0.21 1.09
Eccentricity 6 8 6.59 7.00 890 MAX VALUE 254.18 0.52 0.08 0.75
MCB cycle size 4 9 6.82 7.00 655 MAX VALUE 183.24 1.00 0.15 1.39
Triangulated dual graph
Density: 39.41%
Triangles: 58,816
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.81 0.79 109.95 0.00 -28.76 0.10 0.13 4.46
Degree 7 93 52.81 57.00 7,130 MAX VALUE 505.34 28.24 0.53 3.83
Eccentricity 2 3 2.50 3.00 338 MAX VALUE 121.15 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.77 0.69 104.28 0.00 -37.95 0.17 0.22 3.09
Degree 2 48 15.94 6.00 2,152 MAX VALUE 293.71 16.53 1.04 2.97
Eccentricity 3 5 3.91 4.00 528 MAX VALUE 182.54 0.59 0.15 0.89
Incidence graph
Density: 1.77%
MCB compute time (ms): 71
MCB cycles: 96
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 12 3.09 2.00 540 MAX VALUE 167.66 2.27 0.74 1.01
Eccentricity 5 8 7.00 7.00 1,225 MAX VALUE 339.45 0.77 0.11 1.12
MCB cycle size 6 8 7.31 8.00 702 MAX VALUE 190.13 0.95 0.13 0.64