Instance: rand-2-40-40-135-650-46_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:41
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 2 27 13.99 14.00 151,132 MAX VALUE 28,225.80 3.04 0.22 2.53
Relational linkage 0.05 0.42 0.25 0.25 405.65 0.00 -2,227.52 0.05 0.19 2.08
Tightness 0.62 0.69 0.65 0.65 87.77 0.00 -58.14 0.01 0.02 3.84
Tuples 504 606 559.75 563.00 75,566 MAX VALUE 854.14 18.33 0.03 3.84
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 14 6.75 7.00 270 1.22e+32 73.88 2.32 0.34 2.11
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: 25
Number of leaves: 11
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 28 11.76 10.00 294 3.24e+24 56.44 7.38 0.63 2.61
Cluster variables 3 16 8.84 8.00 221 4.42e+22 52.14 3.77 0.43 2.38
Separator constraints 0 24 6.36 4.00 159 0 None 6.68 1.05 2.28
Separator variables 0 15 7.24 6.00 181 0 None 3.78 0.52 2.44
Dual tree decomposition
Number of clusters: 38
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 11 152 61.97 52.00 2,355 MAX VALUE 147.64 40.15 0.65 3.53
Cluster variables 6 57 20.08 15.00 763 MAX VALUE 107.71 12.39 0.62 2.98
Separator constraints 0 84 38.71 33.00 1,471 0 None 24.31 0.63 3.26
Separator variables 0 38 16.53 13.50 628 0 None 9.44 0.57 2.85
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 0.40 0.15 0.14 6.18 0.00 None 0.10 0.65 2.89
Degree 2 14 6.75 7.00 270 1.22e+32 73.88 2.32 0.34 2.11
Eccentricity 3 4 3.25 3.00 130 2.16e+20 46.82 0.43 0.13 0.56
Triangulated primal graph
Density: 38.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.58 1.00 0.80 0.78 32.05 0.00 -9.54 0.15 0.19 2.76
Degree 2 27 15.05 14.00 602 MAX VALUE 99.31 8.63 0.57 2.69
Eccentricity 2 3 2.50 2.50 100 3.66e+15 35.84 0.50 0.20 0.69
Dual graph
Density: 9.77%
MCB compute time (ms): 252
MCB cycles: 837
Triangles: 1,955
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 0.75 0.50 0.49 67.72 0.00 -93.75 0.05 0.10 3.89
Degree 5 24 13.10 13.00 1,768 MAX VALUE 342.12 3.56 0.27 2.60
Eccentricity 3 4 3.40 3.00 459 MAX VALUE 163.85 0.49 0.14 0.67
MCB cycle size 3 5 3.18 3.00 2,662 MAX VALUE 962.01 0.43 0.13 0.50
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 57
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.37 0.00 None 0.02 6.85 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.61 0.70 0.21 1.05
Eccentricity 6 8 6.72 7.00 907 MAX VALUE 256.68 0.57 0.08 0.84
MCB cycle size 3 9 6.67 7.00 640 MAX VALUE 180.12 1.28 0.19 1.63
Triangulated dual graph
Density: 40.13%
Triangles: 61,144
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.80 110.27 0.00 -28.35 0.10 0.13 4.44
Degree 5 90 53.78 56.00 7,260 MAX VALUE 507.13 28.74 0.53 3.53
Eccentricity 2 3 2.39 2.00 323 MAX VALUE 115.06 0.49 0.20 0.67
Triangulated minimal dual graph
Density: 12.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.78 0.72 105.11 0.00 -36.82 0.17 0.21 3.19
Degree 2 50 16.59 7.00 2,240 MAX VALUE 299.72 17.03 1.03 3.01
Eccentricity 3 5 3.86 4.00 521 MAX VALUE 180.78 0.57 0.15 0.86
Incidence graph
Density: 1.77%
MCB compute time (ms): 68
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 14 3.09 2.00 540 MAX VALUE 167.46 2.28 0.74 0.99
Eccentricity 6 9 7.33 7.00 1,283 MAX VALUE 348.01 0.62 0.08 0.93
MCB cycle size 6 10 7.06 8.00 678 MAX VALUE 186.62 1.04 0.15 0.74