Instance: rand-2-40-40-135-650-0_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:42
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 14.00 14.00 151,250 MAX VALUE 28,241.10 3.01 0.21 2.52
Relational linkage 0.10 0.42 0.26 0.25 409.50 0.00 -2,212.35 0.05 0.19 2.09
Tightness 0.62 0.67 0.65 0.65 87.73 0.00 -58.20 0.01 0.02 3.94
Tuples 521 606 560.18 561.00 75,625 MAX VALUE 854.25 18.08 0.03 3.94
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 1.05e+32 73.73 2.26 0.33 2.09
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: 23
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 2 29 10.35 8.00 238 8.63e+20 48.21 7.14 0.69 2.51
Cluster variables 3 18 8.43 7.00 194 1.18e+20 46.22 4.23 0.50 2.39
Separator constraints 0 19 4.48 2.00 103 0 None 5.49 1.23 2.20
Separator variables 0 15 6.70 6.00 154 0 None 3.97 0.59 2.39
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 13 168 63.08 52.00 2,397 MAX VALUE 150.62 39.05 0.62 3.38
Cluster variables 7 59 20.53 15.50 780 MAX VALUE 108.90 12.62 0.61 3.01
Separator constraints 0 93 39.97 34.50 1,519 0 None 23.27 0.58 3.30
Separator variables 0 42 16.97 14.00 645 0 None 9.62 0.57 3.03
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 0.14 5.49 0.00 None 0.08 0.61 2.68
Degree 2 13 6.75 7.00 270 1.05e+32 73.73 2.26 0.33 2.09
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 39.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.82 0.77 32.78 0.00 -8.51 0.14 0.17 2.91
Degree 2 29 15.35 17.00 614 MAX VALUE 98.68 9.08 0.59 2.78
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.71%
MCB compute time (ms): 468
MCB cycles: 816
Triangles: 1,863
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.78 0.51 0.49 68.46 0.00 -92.35 0.06 0.11 3.58
Degree 6 20 13.01 13.00 1,756 MAX VALUE 343.02 2.84 0.22 2.39
Eccentricity 3 4 3.20 3.00 432 MAX VALUE 156.08 0.40 0.12 0.50
MCB cycle size 3 5 3.17 3.00 2,590 MAX VALUE 936.41 0.42 0.13 0.49
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 82
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 1.43 0.00 None 0.05 5.02 0.23
Degree 2 5 3.41 3.00 460 MAX VALUE 162.69 0.68 0.20 1.03
Eccentricity 6 8 6.61 7.00 892 MAX VALUE 254.49 0.52 0.08 0.75
MCB cycle size 3 9 6.78 7.00 651 MAX VALUE 181.96 1.19 0.18 1.48
Triangulated dual graph
Density: 41.24%
Triangles: 64,898
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.80 110.69 0.00 -27.75 0.10 0.12 4.35
Degree 6 89 55.26 63.00 7,460 MAX VALUE 511.48 29.15 0.53 3.66
Eccentricity 2 3 2.45 2.00 331 MAX VALUE 118.31 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 11.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.78 0.70 104.91 0.00 -36.96 0.16 0.21 3.12
Degree 2 49 15.97 7.00 2,156 MAX VALUE 294.67 16.59 1.04 2.99
Eccentricity 3 5 3.68 4.00 497 MAX VALUE 174.59 0.51 0.14 0.74
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 13 3.09 2.00 540 MAX VALUE 167.30 2.27 0.73 0.98
Eccentricity 6 8 7.01 7.00 1,227 MAX VALUE 340.25 0.57 0.08 0.85
MCB cycle size 6 10 7.21 8.00 692 MAX VALUE 188.56 1.06 0.15 0.77