Instance: 3-insertions-3-3_ext
Number of variables: 56
Number of constraints: 110
Satisfiable: None
Timestamp: 2017-10-27 10:46:06
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 56
Number of constraints: 110
General features
Number of coarse blocks: 660
Number of unique subscopes: 56
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 220 1.30e+33 76.25 0.00 0.00 0.00
Coarse blocks size 2 2 2.00 2.00 1,320 MAX VALUE 457.48 0.00 0.00 0.00
Relational linkage 0.67 0.67 0.67 0.67 112.00 0.00 -68.12 0.00 0.00 0.00
Tightness 0.33 0.33 0.33 0.33 36.67 0.00 -120.85 0.00 0.00 0.00
Tuples 6 6 6.00 6.00 660 MAX VALUE 197.09 0.00 0.00 0.00
Domain size 3 3 3.00 3.00 168 5.23e+26 61.52 0.00 0.00 0.00
Constraints per subscope 3 11 3.93 4.00 220 6.03e+32 75.48 1.03 0.26 0.58
Partitions per subscope 3 3 3.00 3.00 168 5.23e+26 61.52 0.00 0.00 0.00
Tree decomposition
Number of clusters: 43
Number of leaves: 27
Tree depth: 5
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 0 5 2.93 3.00 126 0 None 1.44 0.49 1.29
Cluster variables 4 13 6.26 5.00 269 8.73e+32 75.85 2.54 0.41 1.69
Separator constraints 0 2 0.37 0.00 16 0 None 0.78 2.09 0.48
Separator variables 0 11 4.95 4.00 213 0 None 2.40 0.48 1.68
Dual tree decomposition
Number of clusters: 54
Number of leaves: 25
Tree depth: 6
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 7 58 12.17 11.00 657 MAX VALUE 130.90 7.20 0.59 1.80
Cluster variables 6 25 9.83 8.00 531 MAX VALUE 118.92 4.55 0.46 2.19
Separator constraints 0 29 5.65 6.00 305 0 None 3.70 0.65 1.39
Separator variables 0 17 7.80 6.50 421 0 None 3.37 0.43 2.17
Primal graph
Density: 7.14%
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Primal1.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 3 11 3.93 4.00 220 6.03e+32 75.48 1.03 0.26 0.58
Eccentricity 5 5 5.00 5.00 280 MAX VALUE 90.13 0.00 0.00 0.00
Triangulated primal graph
Density: 19.55%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.27 1.00 0.78 0.82 43.85 0.00 -16.28 0.22 0.28 2.24
Degree 3 38 10.75 8.50 602 MAX VALUE 114.91 8.46 0.79 2.33
Eccentricity 2 4 2.98 3.00 167 1.53e+26 60.29 0.52 0.17 0.77
Dual graph
Density: 5.87%
MCB compute time (ms): 67
MCB cycles: 270
Triangles: 352
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.70 0.43 0.40 47.27 0.00 -94.68 0.09 0.21 0.33
Degree 5 12 6.40 6.00 704 MAX VALUE 200.71 1.91 0.30 0.80
Eccentricity 6 6 6.00 6.00 660 MAX VALUE 197.09 0.00 0.00 0.00
MCB cycle size 3 11 3.43 3.00 925 MAX VALUE 327.03 0.80 0.23 0.82
Minimal dual graph
Density: 2.74%
MCB compute time (ms): 29
MCB cycles: 55
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 2.98 3.00 328 MAX VALUE 118.98 0.43 0.14 0.60
Eccentricity 8 11 9.82 10.00 1,080 MAX VALUE 250.94 0.74 0.08 1.10
MCB cycle size 4 11 6.27 6.00 345 MAX VALUE 100.03 1.21 0.19 1.49
Triangulated dual graph
Density: 19.48%
Triangles: 7,223
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.76 0.76 84.11 0.00 -31.97 0.16 0.21 3.44
Degree 5 50 21.24 15.50 2,336 MAX VALUE 305.59 14.77 0.70 3.08
Eccentricity 2 4 2.88 3.00 317 MAX VALUE 115.11 0.42 0.15 0.58
Triangulated minimal dual graph
Density: 9.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 0.74 0.67 81.49 0.00 -37.83 0.22 0.29 2.78
Degree 2 33 10.07 5.00 1,108 MAX VALUE 207.86 9.41 0.93 2.73
Eccentricity 4 7 4.92 5.00 541 MAX VALUE 174.20 0.68 0.14 1.00
Incidence graph
Density: 1.61%
MCB compute time (ms): 76
MCB cycles: 55
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/3-insertions-3-3_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 11 2.65 2.00 440 MAX VALUE 151.73 1.09 0.41 0.84
Eccentricity 11 12 11.66 12.00 1,936 MAX VALUE 407.62 0.47 0.04 0.64
MCB cycle size 8 22 8.25 8.00 454 MAX VALUE 115.38 1.87 0.23 0.09