Instance: rand-2-40-40-135-650-87_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:49
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 3 26 14.00 14.00 151,170 MAX VALUE 28,234.20 3.01 0.22 2.52
Relational linkage 0.07 0.45 0.26 0.25 411.32 0.00 -2,207.97 0.05 0.20 2.14
Tightness 0.62 0.68 0.65 0.65 87.76 0.00 -58.16 0.01 0.02 3.95
Tuples 520 606 559.89 560.00 75,585 MAX VALUE 854.18 17.72 0.03 3.95
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 13 6.75 7.00 270 3.73e+31 72.70 2.64 0.39 2.31
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: 24
Number of leaves: 12
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 3 34 10.96 9.00 263 1.52e+22 51.07 8.19 0.75 2.52
Cluster variables 3 17 8.00 7.50 192 2.58e+20 47.00 3.92 0.49 2.44
Separator constraints 0 23 5.33 2.00 128 0 None 6.08 1.14 2.16
Separator variables 0 15 6.33 5.50 152 0 None 3.68 0.58 2.44
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 6 207 66.03 56.00 2,509 MAX VALUE 148.34 49.11 0.74 3.46
Cluster variables 5 60 20.29 15.00 771 MAX VALUE 107.37 13.42 0.66 3.00
Separator constraints 0 114 41.92 38.50 1,593 0 None 30.27 0.72 3.35
Separator variables 0 46 16.74 14.00 636 0 None 10.43 0.62 3.09
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 1.00 0.21 0.17 8.36 0.00 None 0.21 0.99 3.01
Degree 2 13 6.75 7.00 270 3.73e+31 72.70 2.64 0.39 2.31
Eccentricity 3 4 3.20 3.00 128 1.21e+20 46.25 0.40 0.12 0.50
Triangulated primal graph
Density: 36.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.81 0.81 32.44 0.00 -9.04 0.15 0.18 2.87
Degree 2 27 14.40 13.50 576 MAX VALUE 95.73 8.76 0.61 2.88
Eccentricity 2 3 2.58 3.00 103 1.23e+16 37.05 0.49 0.19 0.68
Dual graph
Density: 10.13%
MCB compute time (ms): 407
MCB cycles: 796
Triangles: 2,101
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 0.86 0.52 0.49 69.74 0.00 -90.35 0.07 0.14 4.11
Degree 4 21 13.57 14.00 1,832 MAX VALUE 347.20 3.44 0.25 2.61
Eccentricity 3 4 3.44 3.00 464 MAX VALUE 165.29 0.50 0.14 0.69
MCB cycle size 3 4 3.07 3.00 2,447 MAX VALUE 891.47 0.26 0.09 0.26
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 56
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.97 0.00 None 0.04 5.24 0.23
Degree 2 5 3.41 3.00 460 MAX VALUE 162.55 0.71 0.21 1.05
Eccentricity 6 8 6.62 7.00 894 MAX VALUE 254.79 0.51 0.08 0.74
MCB cycle size 3 9 6.75 7.00 648 MAX VALUE 181.60 1.19 0.18 1.55
Triangulated dual graph
Density: 41.89%
Triangles: 68,618
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.83 0.81 111.52 0.00 -26.63 0.09 0.11 4.43
Degree 4 95 56.13 66.00 7,578 MAX VALUE 511.18 30.14 0.54 3.91
Eccentricity 2 3 2.48 2.00 335 MAX VALUE 119.93 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.76%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.79 0.73 106.15 0.00 -35.63 0.17 0.22 3.02
Degree 2 48 15.76 6.00 2,128 MAX VALUE 292.08 16.59 1.05 2.87
Eccentricity 3 5 3.68 4.00 497 MAX VALUE 174.65 0.50 0.13 0.71
Incidence graph
Density: 1.77%
MCB compute time (ms): 68
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 13 3.09 2.00 540 MAX VALUE 166.27 2.36 0.77 1.01
Eccentricity 6 9 7.30 7.00 1,277 MAX VALUE 347.10 0.65 0.09 0.99
MCB cycle size 6 8 6.98 6.00 670 MAX VALUE 185.53 1.00 0.14 0.69