Instance: rand-2-40-80-103-800-17_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 31 15.97 16.00 263,128 MAX VALUE 45,221.60 3.57 0.22 2.69
Relational linkage 0.05 0.26 0.15 0.15 482.46 0.00 -6,121.94 0.03 0.20 2.30
Tightness 0.79 0.81 0.80 0.80 82.44 0.00 -22.93 0.00 0.01 4.14
Tuples 1,220 1,374 1,277.32 1,273.00 131,564 MAX VALUE 736.68 30.62 0.02 4.14
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 9 5.15 5.00 206 1.33e+27 62.46 1.96 0.38 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: 14
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 2 15 6.79 5.00 190 7.32e+20 48.04 4.35 0.64 2.24
Cluster variables 3 13 6.71 5.00 188 7.29e+21 50.34 3.21 0.48 2.01
Separator constraints 0 12 3.11 1.00 87 0 None 4.00 1.29 1.81
Separator variables 0 11 5.29 4.00 148 0 None 3.14 0.59 2.01
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 69 30.47 28.00 1,158 MAX VALUE 122.47 17.56 0.58 3.14
Cluster variables 5 34 13.84 12.00 526 MAX VALUE 94.73 7.58 0.55 2.67
Separator constraints 0 39 17.21 17.00 654 0 None 10.61 0.62 2.96
Separator variables 0 26 11.13 9.50 423 0 None 5.81 0.52 2.70
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 0.14 0.14 5.67 0.00 None 0.11 0.75 2.37
Degree 2 9 5.15 5.00 206 1.33e+27 62.46 1.96 0.38 1.93
Eccentricity 3 4 3.60 4.00 144 1.21e+22 50.85 0.49 0.14 0.67
Triangulated primal graph
Density: 28.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.79 0.73 31.57 0.00 -10.48 0.18 0.22 2.64
Degree 2 24 11.30 9.50 452 7.71e+36 84.94 7.61 0.67 2.59
Eccentricity 2 4 2.92 3.00 117 1.78e+18 42.02 0.61 0.21 0.91
Dual graph
Density: 9.59%
MCB compute time (ms): 155
MCB cycles: 407
Triangles: 804
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 0.78 0.51 0.49 52.46 0.00 -70.42 0.07 0.14 3.42
Degree 4 15 9.79 10.00 1,008 MAX VALUE 231.05 2.56 0.26 2.30
Eccentricity 3 4 3.87 4.00 399 MAX VALUE 139.05 0.33 0.09 0.38
MCB cycle size 3 6 3.14 3.00 1,276 MAX VALUE 462.27 0.41 0.13 0.41
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 35
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 118.77 0.59 0.18 0.89
Eccentricity 6 8 6.85 7.00 706 MAX VALUE 197.93 0.55 0.08 0.81
MCB cycle size 4 8 6.69 7.00 428 MAX VALUE 120.64 1.10 0.16 1.42
Triangulated dual graph
Density: 32.06%
Triangles: 16,557
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.79 0.78 81.73 0.00 -25.13 0.13 0.16 4.11
Degree 4 65 32.70 34.00 3,368 MAX VALUE 334.09 19.09 0.58 3.68
Eccentricity 2 3 2.67 3.00 275 MAX VALUE 99.37 0.47 0.18 0.63
Triangulated minimal dual graph
Density: 12.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.76 0.70 78.11 0.00 -31.58 0.18 0.24 2.93
Degree 2 40 12.49 6.00 1,286 MAX VALUE 211.46 11.90 0.95 2.84
Eccentricity 3 5 3.78 4.00 389 MAX VALUE 135.72 0.56 0.15 0.83
Incidence graph
Density: 2.03%
MCB compute time (ms): 38
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 9 2.88 2.00 412 MAX VALUE 133.85 1.75 0.61 1.06
Eccentricity 6 9 7.99 8.00 1,142 MAX VALUE 296.63 0.65 0.08 0.98
MCB cycle size 6 12 7.44 8.00 476 MAX VALUE 127.48 1.30 0.17 0.94