Instance: rand-2-40-180-84-900-41_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:27
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 29,880
Number of unique subscopes: 38
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 37 18.03 18.00 538,840 MAX VALUE 85,635.10 4.03 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 532.42 0.00 -17,609.40 0.02 0.20 2.46
Tightness 0.90 0.90 0.90 0.90 75.58 0.00 -8.87 0.00 0.00 4.14
Tuples 3,144 3,343 3,246.38 3,244.50 272,696 MAX VALUE 679.16 44.65 0.01 4.14
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 9 4.37 4.00 166 6.45e+22 52.52 1.83 0.42 1.89
Partitions per subscope 180 180 180.00 180.00 6,840 MAX VALUE 197.33 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
Number of leaves: 15
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 1 11 4.50 4.00 135 2.67e+16 37.82 2.92 0.65 2.16
Cluster variables 2 11 5.30 4.00 159 1.68e+20 46.57 2.60 0.49 2.02
Separator constraints 0 8 1.70 0.50 51 0 None 2.37 1.39 1.53
Separator variables 0 9 3.97 3.00 119 0 None 2.48 0.63 2.02
Dual tree decomposition
Number of clusters: 38
Number of leaves: 12
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1 46 18.58 17.00 706 MAX VALUE 97.64 12.97 0.70 3.08
Cluster variables 4 25 10.26 9.00 390 1.40e+36 83.23 5.60 0.55 2.70
Separator constraints 0 28 9.55 8.50 363 0 None 7.60 0.80 2.83
Separator variables 0 18 8.05 7.50 306 0 None 4.33 0.54 2.61
Primal graph
Density: 10.77%
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 None 0.10 None None None None None 2.19
Degree 1 9 4.20 4.00 168 6.45e+22 52.52 1.93 0.46 2.00
Eccentricity 3 5 4.15 4.00 166 3.80e+24 56.60 0.53 0.13 0.78
Triangulated primal graph
Density: 22.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 None 0.72 None None None None None 2.79
Degree 1 21 8.70 6.50 348 1.54e+31 71.81 6.59 0.76 2.60
Eccentricity 2 4 3.33 3.00 133 4.55e+20 47.57 0.52 0.16 0.75
Dual graph
Density: 9.84%
MCB compute time (ms): 38
MCB cycles: 274
Triangles: 469
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 1.00 0.51 0.49 42.99 0.00 -57.82 0.11 0.21 3.33
Degree 3 15 8.17 8.00 686 MAX VALUE 171.08 2.67 0.33 2.29
Eccentricity 3 5 4.15 4.00 349 MAX VALUE 119.22 0.42 0.10 0.58
MCB cycle size 3 7 3.26 3.00 893 MAX VALUE 319.34 0.67 0.21 0.59
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 13
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.01 0.00 0.50 0.00 None 0.03 5.20 0.15
Degree 2 5 3.05 3.00 256 MAX VALUE 91.72 0.63 0.21 0.96
Eccentricity 6 8 7.04 7.00 591 MAX VALUE 163.59 0.59 0.08 0.88
MCB cycle size 3 10 7.00 7.00 315 3.10e+37 86.33 1.58 0.23 1.78
Triangulated dual graph
Density: 27.74%
Triangles: 6,676
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.78 0.77 65.38 0.00 -22.38 0.14 0.18 3.91
Degree 3 49 23.02 20.50 1,934 MAX VALUE 241.40 14.30 0.62 3.54
Eccentricity 2 4 3.10 3.00 260 MAX VALUE 94.23 0.40 0.13 0.54
Triangulated minimal dual graph
Density: 12.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.75 0.67 62.73 0.00 -27.67 0.20 0.27 2.78
Degree 2 32 10.21 5.00 858 MAX VALUE 158.99 9.47 0.93 2.71
Eccentricity 3 5 3.69 4.00 310 MAX VALUE 108.84 0.51 0.14 0.74
Incidence graph
Density: 2.20%
MCB compute time (ms): 20
MCB cycles: 45
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 None 0.00 None None None None None 0.75
Degree 1 9 2.71 2.00 336 MAX VALUE 110.75 1.50 0.55 1.07
Eccentricity 7 11 8.81 9.00 1,092 MAX VALUE 269.16 0.87 0.10 1.26
MCB cycle size 6 14 8.00 8.00 360 MAX VALUE 92.32 1.98 0.25 1.21