Instance: rand-2-40-40-135-650-72_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:35
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 26 13.92 14.00 150,354 MAX VALUE 28,168.80 3.04 0.22 2.53
Relational linkage 0.05 0.42 0.25 0.25 403.80 0.00 -2,234.36 0.05 0.19 2.07
Tightness 0.62 0.68 0.65 0.65 88.01 0.00 -57.77 0.01 0.02 4.00
Tuples 513 601 556.87 560.00 75,177 MAX VALUE 853.43 19.27 0.03 4.00
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 12 6.75 7.00 270 1.11e+32 73.78 2.30 0.34 2.14
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: 24
Number of leaves: 13
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 3 28 11.75 8.50 282 5.83e+22 52.42 8.53 0.73 2.69
Cluster variables 4 17 8.67 7.00 208 1.65e+21 48.85 4.44 0.51 2.15
Separator constraints 0 23 6.12 3.00 147 0 None 7.49 1.22 2.28
Separator variables 0 16 7.00 6.00 168 0 None 4.34 0.62 2.21
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 13 164 62.21 55.50 2,364 MAX VALUE 148.28 39.60 0.64 3.44
Cluster variables 7 59 20.32 16.00 772 MAX VALUE 108.20 12.68 0.62 3.08
Separator constraints 0 86 39.00 36.50 1,482 0 None 23.87 0.61 3.28
Separator variables 0 43 16.76 14.50 637 0 None 9.71 0.58 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 0.40 0.16 0.17 6.52 0.00 None 0.10 0.60 3.05
Degree 3 12 6.75 7.00 270 1.11e+32 73.78 2.30 0.34 2.14
Eccentricity 2 4 3.12 3.00 125 4.55e+19 45.27 0.40 0.13 0.54
Triangulated primal graph
Density: 38.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.82 0.80 32.88 0.00 -8.45 0.14 0.17 2.75
Degree 3 28 15.20 18.00 608 MAX VALUE 98.37 9.09 0.60 2.48
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.75%
MCB compute time (ms): 299
MCB cycles: 776
Triangles: 1,900
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.67 0.51 0.50 68.62 0.00 -91.80 0.04 0.08 3.85
Degree 6 19 13.07 13.00 1,764 MAX VALUE 342.88 3.06 0.23 2.48
Eccentricity 3 4 3.36 3.00 453 MAX VALUE 162.12 0.48 0.14 0.65
MCB cycle size 3 5 3.10 3.00 2,409 MAX VALUE 875.44 0.33 0.11 0.34
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 45
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 162.21 0.73 0.22 1.10
Eccentricity 5 8 6.64 7.00 897 MAX VALUE 255.19 0.55 0.08 0.82
MCB cycle size 4 9 6.75 7.00 648 MAX VALUE 181.64 1.19 0.18 1.52
Triangulated dual graph
Density: 40.90%
Triangles: 64,099
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.69 1.00 0.82 0.79 110.82 0.00 -27.61 0.10 0.12 4.37
Degree 6 91 54.80 61.00 7,398 MAX VALUE 509.68 29.33 0.54 3.75
Eccentricity 2 3 2.41 2.00 325 MAX VALUE 115.88 0.49 0.20 0.68
Triangulated minimal dual graph
Density: 12.00%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.79 0.71 106.92 0.00 -34.88 0.18 0.22 2.98
Degree 2 50 16.07 6.00 2,170 MAX VALUE 290.91 16.92 1.05 2.90
Eccentricity 3 5 3.70 4.00 499 MAX VALUE 175.03 0.53 0.14 0.78
Incidence graph
Density: 1.77%
MCB compute time (ms): 46
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 12 3.09 2.00 540 MAX VALUE 167.36 2.28 0.74 1.03
Eccentricity 5 8 7.18 7.00 1,257 MAX VALUE 344.32 0.64 0.09 0.96
MCB cycle size 6 10 7.04 7.00 676 MAX VALUE 186.26 1.08 0.15 0.78