Instance: rand-2-40-40-135-650-14_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 27 14.04 14.00 151,606 MAX VALUE 28,261.00 3.04 0.22 2.53
Relational linkage 0.10 0.45 0.26 0.25 408.07 0.00 -2,218.18 0.05 0.19 2.10
Tightness 0.61 0.69 0.65 0.65 87.62 0.00 -58.37 0.01 0.02 3.88
Tuples 494 619 561.50 560.00 75,803 MAX VALUE 854.56 18.60 0.03 3.88
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.75 7.00 270 5.94e+31 73.16 2.36 0.35 2.10
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: 10
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 34 11.22 8.00 258 8.30e+20 48.17 9.05 0.81 2.67
Cluster variables 3 18 8.39 7.00 193 9.19e+19 45.97 4.18 0.50 2.26
Separator constraints 0 30 5.35 3.00 123 0 None 7.35 1.37 2.31
Separator variables 0 16 6.65 6.00 153 0 None 3.91 0.59 2.26
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 11 195 64.63 50.00 2,456 MAX VALUE 148.39 46.42 0.72 3.46
Cluster variables 6 60 20.39 16.00 775 MAX VALUE 107.67 13.30 0.65 3.09
Separator constraints 0 103 41.26 34.50 1,568 0 None 28.59 0.69 3.37
Separator variables 0 43 16.84 14.00 640 0 None 10.28 0.61 3.05
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 0.13 0.11 5.14 0.00 None 0.08 0.63 2.96
Degree 2 11 6.75 7.00 270 5.94e+31 73.16 2.36 0.35 2.10
Eccentricity 3 4 3.27 3.00 131 2.88e+20 47.11 0.45 0.14 0.59
Triangulated primal graph
Density: 39.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.81 0.76 32.37 0.00 -8.98 0.13 0.16 3.04
Degree 2 29 15.30 16.50 612 MAX VALUE 98.55 8.96 0.59 2.71
Eccentricity 2 4 2.73 3.00 109 9.87e+16 39.13 0.59 0.22 0.88
Dual graph
Density: 9.82%
MCB compute time (ms): 377
MCB cycles: 815
Triangles: 1,897
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 0.80 0.50 0.49 67.78 0.00 -93.74 0.06 0.11 3.78
Degree 5 20 13.16 13.00 1,776 MAX VALUE 343.48 3.15 0.24 2.51
Eccentricity 3 4 3.43 3.00 463 MAX VALUE 165.00 0.50 0.14 0.68
MCB cycle size 3 5 3.15 3.00 2,565 MAX VALUE 929.50 0.37 0.12 0.43
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 62
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 162.66 0.70 0.21 1.03
Eccentricity 5 8 6.70 7.00 904 MAX VALUE 256.02 0.68 0.10 1.01
MCB cycle size 4 9 6.79 7.00 652 MAX VALUE 182.03 1.27 0.19 1.61
Triangulated dual graph
Density: 41.98%
Triangles: 68,355
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.81 111.31 0.00 -26.93 0.10 0.12 4.30
Degree 5 94 56.25 63.00 7,594 MAX VALUE 511.91 29.96 0.53 3.77
Eccentricity 2 3 2.48 2.00 335 MAX VALUE 119.93 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.04%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.75 105.61 0.00 -36.28 0.17 0.22 3.12
Degree 2 50 16.13 6.00 2,178 MAX VALUE 296.22 16.72 1.04 2.94
Eccentricity 3 5 3.80 4.00 513 MAX VALUE 178.74 0.56 0.15 0.83
Incidence graph
Density: 1.77%
MCB compute time (ms): 73
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 11 3.09 2.00 540 MAX VALUE 166.74 2.29 0.74 0.93
Eccentricity 6 9 7.35 7.00 1,286 MAX VALUE 348.26 0.69 0.09 1.05
MCB cycle size 6 10 7.23 8.00 694 MAX VALUE 188.85 1.06 0.15 0.77