Instance: rand-2-40-40-135-650-37_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:45
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 4 26 14.02 14.00 151,420 MAX VALUE 28,255.30 3.00 0.21 2.52
Relational linkage 0.10 0.47 0.26 0.25 409.88 0.00 -2,209.69 0.05 0.19 2.09
Tightness 0.61 0.67 0.65 0.65 87.68 0.00 -58.28 0.01 0.02 3.92
Tuples 521 620 560.82 560.00 75,710 MAX VALUE 854.40 17.98 0.03 3.92
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 13 6.75 6.00 270 9.93e+31 73.68 2.33 0.35 2.05
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: 23
Number of leaves: 12
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 35 12.39 10.00 285 4.30e+22 52.12 8.74 0.71 2.57
Cluster variables 3 18 8.61 7.00 198 2.62e+20 47.02 4.03 0.47 2.01
Separator constraints 0 27 6.52 4.00 150 0 None 7.11 1.09 2.31
Separator variables 0 16 6.87 6.00 158 0 None 3.79 0.55 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 10 159 61.08 53.00 2,321 MAX VALUE 147.43 40.78 0.67 3.39
Cluster variables 7 54 19.97 16.00 759 MAX VALUE 107.65 12.32 0.62 3.06
Separator constraints 0 92 37.79 31.50 1,436 0 None 25.14 0.67 3.49
Separator variables 0 42 16.42 14.00 624 0 None 9.47 0.58 3.08
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 0.33 0.18 0.19 7.32 0.00 None 0.10 0.53 2.80
Degree 2 13 6.75 6.00 270 9.93e+31 73.68 2.33 0.35 2.05
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 39.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.79 32.67 0.00 -8.81 0.15 0.18 2.86
Degree 2 30 15.55 15.00 622 MAX VALUE 99.92 9.03 0.58 2.73
Eccentricity 2 3 2.48 2.00 99 2.44e+15 35.43 0.50 0.20 0.69
Dual graph
Density: 9.78%
MCB compute time (ms): 402
MCB cycles: 800
Triangles: 1,956
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 0.51 0.50 68.63 0.00 -92.08 0.06 0.11 3.69
Degree 6 21 13.11 13.00 1,770 MAX VALUE 343.00 3.28 0.25 2.52
Eccentricity 3 4 3.40 3.00 459 MAX VALUE 163.85 0.49 0.14 0.67
MCB cycle size 3 5 3.12 3.00 2,496 MAX VALUE 905.73 0.37 0.12 0.38
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 62
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 0.43 0.00 None 0.02 6.79 0.12
Degree 2 5 3.41 3.00 460 MAX VALUE 162.70 0.67 0.20 1.01
Eccentricity 6 8 6.94 7.00 937 MAX VALUE 261.11 0.55 0.08 0.83
MCB cycle size 3 9 6.62 7.00 636 MAX VALUE 179.67 1.23 0.19 1.59
Triangulated dual graph
Density: 39.45%
Triangles: 59,451
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.82 110.32 0.00 -28.31 0.10 0.13 4.44
Degree 6 91 52.86 61.00 7,136 MAX VALUE 504.67 28.66 0.54 3.85
Eccentricity 2 3 2.41 2.00 326 MAX VALUE 116.28 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 0.53 1.00 0.78 0.71 105.23 0.00 -36.74 0.17 0.22 3.20
Degree 2 51 16.07 7.00 2,170 MAX VALUE 295.77 16.67 1.04 3.08
Eccentricity 3 5 3.73 4.00 503 MAX VALUE 176.25 0.51 0.14 0.74
Incidence graph
Density: 1.77%
MCB compute time (ms): 71
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 13 3.09 2.00 540 MAX VALUE 167.25 2.29 0.74 0.95
Eccentricity 6 9 7.21 7.00 1,261 MAX VALUE 344.61 0.77 0.11 1.14
MCB cycle size 6 10 6.90 6.00 662 MAX VALUE 184.31 1.04 0.15 0.73