Instance: rand-2-40-180-84-900-95_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:19
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: 29,520
Number of unique subscopes: 36
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 5 35 17.92 18.00 528,854 MAX VALUE 84,404.60 4.01 0.22 2.81
Relational linkage 0.03 0.14 0.08 0.08 498.06 0.00 -16,766.30 0.02 0.20 2.45
Tightness 0.90 0.91 0.90 0.90 75.64 0.00 -8.81 0.00 0.00 4.12
Tuples 3,050 3,393 3,225.14 3,227.00 270,912 MAX VALUE 678.60 60.42 0.02 4.12
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 4.56 4.00 164 2.01e+22 51.36 1.86 0.41 1.90
Partitions per subscope 180 180 180.00 180.00 6,480 MAX VALUE 186.95 0.00 0.00 0.00
Tree decomposition
Number of clusters: 31
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 4.45 4.00 138 1.50e+17 39.55 2.70 0.61 2.14
Cluster variables 2 10 5.03 5.00 156 1.67e+20 46.57 2.39 0.47 2.00
Separator constraints 0 8 1.74 1.00 54 0 None 2.17 1.25 1.65
Separator variables 0 9 3.74 3.00 116 0 None 2.31 0.62 2.04
Dual tree decomposition
Number of clusters: 38
Number of leaves: 11
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 4 53 18.13 15.00 689 MAX VALUE 101.70 12.09 0.67 2.85
Cluster variables 5 23 9.97 9.00 379 1.54e+36 83.33 4.84 0.49 2.53
Separator constraints 0 26 8.82 7.00 335 0 None 6.39 0.72 2.70
Separator variables 0 17 7.76 7.50 295 0 None 3.75 0.48 2.31
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 0.50 None 0.13 None None None None None 2.50
Degree 1 9 4.20 4.00 168 2.01e+22 51.36 2.06 0.49 2.04
Eccentricity 3 5 4.22 4.00 169 7.92e+24 57.33 0.52 0.12 0.77
Triangulated primal graph
Density: 20.64%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 None 0.78 None None None None None 3.00
Degree 1 20 8.05 6.00 322 3.47e+29 68.02 6.16 0.77 2.57
Eccentricity 2 4 3.35 3.00 134 5.39e+20 47.74 0.57 0.17 0.85
Dual graph
Density: 10.15%
MCB compute time (ms): 42
MCB cycles: 276
Triangles: 503
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.54 0.50 45.22 0.00 -53.86 0.13 0.24 3.21
Degree 4 15 8.43 8.00 708 MAX VALUE 174.76 2.58 0.31 2.30
Eccentricity 3 5 4.02 4.00 338 MAX VALUE 116.57 0.38 0.09 0.51
MCB cycle size 3 6 3.19 3.00 880 MAX VALUE 316.93 0.55 0.17 0.48
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 12
MCB cycles: 45
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 4 3.05 3.00 256 MAX VALUE 92.14 0.55 0.18 0.83
Eccentricity 6 8 6.99 7.00 587 MAX VALUE 162.99 0.61 0.09 0.91
MCB cycle size 4 9 7.07 7.00 318 7.34e+37 87.19 1.25 0.18 1.56
Triangulated dual graph
Density: 25.27%
Triangles: 5,320
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.77 0.77 64.81 0.00 -23.28 0.14 0.19 4.02
Degree 4 45 20.98 18.00 1,762 MAX VALUE 236.25 12.70 0.61 3.47
Eccentricity 2 4 3.21 3.00 270 MAX VALUE 97.23 0.46 0.14 0.65
Triangulated minimal dual graph
Density: 12.91%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.74 0.67 62.46 0.00 -27.67 0.19 0.26 2.83
Degree 2 32 10.71 6.00 900 MAX VALUE 163.38 9.69 0.90 2.71
Eccentricity 3 5 4.01 4.00 337 MAX VALUE 115.77 0.59 0.15 0.88
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 0.97
Degree 1 9 2.71 2.00 336 MAX VALUE 109.58 1.56 0.58 1.11
Eccentricity 7 11 8.74 9.00 1,084 MAX VALUE 268.31 0.81 0.09 1.20
MCB cycle size 6 12 7.91 8.00 356 MAX VALUE 92.06 1.68 0.21 1.17