Instance: geo50-20-d4-75-78_ext
Number of variables: 50
Number of constraints: 388
Satisfiable: None
Timestamp: 2017-10-27 10:45:21
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 50
Number of constraints: 388
General features
Coarse blocks: 15,520
Value tables: 50
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 776 MAX VALUE 268.94 0.00 0.00 0.00
Coarse blocks size 7 20 15.01 15.00 232,956 MAX VALUE 41,903.90 1.93 0.13 2.07
Relational linkage 0.35 0.80 0.58 0.60 578.65 0.00 -553.79 0.07 0.11 1.68
Tightness 0.19 0.32 0.25 0.25 96.81 0.00 -540.14 0.02 0.09 3.51
Tuples 272 324 300.20 301.00 116,478 MAX VALUE 2,213.16 8.70 0.03 3.51
Values 20 20 20.00 20.00 1,000 MAX VALUE 149.79 0.00 0.00 0.00
Value table constraints 4 23 15.52 16.00 776 MAX VALUE 134.60 4.45 0.29 2.71
Value table partitions 20 20 20.00 20.00 1,000 MAX VALUE 149.79 0.00 0.00 0.00
Tree decomposition
Number of clusters: 20
Number of leaves: 4
Tree depth: 7
Dot-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 10 119 58.50 53.00 1,170 1.53e+34 78.71 29.20 0.50 2.86
Cluster variables 5 17 12.30 12.50 246 2.89e+21 49.42 3.16 0.26 2.21
Separator constraints 0 103 39.10 32.50 782 0 None 26.71 0.68 2.86
Separator variables 0 16 9.80 10.00 196 0 None 3.63 0.37 2.36
Dual tree decomposition
Number of clusters: 48
Number of leaves: 23
Tree depth: 7
Dot-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 45 1,174 393.50 359.00 18,888 MAX VALUE 275.66 260.48 0.66 3.81
Cluster variables 12 116 47.60 39.00 2,285 MAX VALUE 178.65 25.76 0.54 3.51
Separator constraints 0 658 265.83 256.00 12,760 0 None 154.53 0.58 3.84
Separator variables 0 87 39.52 37.00 1,897 0 None 18.74 0.47 3.42
Primal graph
Density: 31.67%
Dot-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.74 0.74 36.99 0.00 -16.00 0.14 0.19 3.64
Degree 4 23 15.52 16.00 776 MAX VALUE 134.60 4.45 0.29 2.71
Eccentricity 2 4 3.34 3.00 167 8.49e+25 59.70 0.51 0.15 0.74
Triangulated primal graph
Density: 40.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.80 0.81 40.03 0.00 -11.96 0.14 0.18 3.21
Degree 4 34 19.84 19.50 992 MAX VALUE 144.81 7.72 0.39 2.93
Eccentricity 2 4 2.82 3.00 141 1.48e+22 51.05 0.48 0.17 0.68
Dual graph
Density: 8.16%
MCB compute time (ms): 4,094
MCB cycles: 5,763
Triangles: 33,754
Dot-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.74 0.52 0.52 202.70 0.00 -252.31 0.02 0.05 5.07
Degree 11 44 31.59 32.00 12,256 MAX VALUE 1,330.26 6.48 0.21 3.19
Eccentricity 3 5 3.95 4.00 1,533 MAX VALUE 530.54 0.44 0.11 0.63
MCB cycle size 3 4 3.00 3.00 17,293 MAX VALUE 6,332.45 0.03 0.01 0.01
Minimal dual graph
Density: 0.97%
MCB compute time (ms): 1,169
MCB cycles: 339
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 6 3.74 4.00 1,452 MAX VALUE 502.80 0.83 0.22 1.14
Eccentricity 7 10 8.69 9.00 3,370 MAX VALUE 837.55 0.67 0.08 1.02
MCB cycle size 4 10 6.29 6.00 2,133 MAX VALUE 616.63 1.24 0.20 1.62
Triangulated dual graph
Density: 32.25%
Triangles: 874,203
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.80 0.82 311.29 0.00 -90.65 0.13 0.16 4.80
Degree 11 270 124.82 124.00 48,430 MAX VALUE 1,814.36 59.87 0.48 4.39
Eccentricity 2 4 3.13 3.00 1,215 MAX VALUE 440.58 0.36 0.11 0.45
Triangulated minimal dual graph
Density: 8.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.80 0.76 312.15 0.00 -91.48 0.15 0.19 3.70
Degree 2 126 32.54 8.00 12,624 MAX VALUE 997.57 40.03 1.23 3.48
Eccentricity 3 5 3.90 4.00 1,512 MAX VALUE 523.60 0.56 0.14 0.84
Incidence graph
Density: 0.81%
MCB compute time (ms): 262
MCB cycles: 339
Dot-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/geom/geo50-20-d4-75-78_ext/Incidence1.pdf
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 23 3.54 2.00 1,552 MAX VALUE 403.54 4.55 1.29 0.66
Eccentricity 5 10 7.90 8.00 3,459 MAX VALUE 902.17 0.90 0.11 1.03
MCB cycle size 6 6 6.00 6.00 2,034 MAX VALUE 607.41 0.00 0.00 0.00