XCSP 2.1 Benchmark Database

Instance: normalized-fpga-12-11-ext
Number of variables: 198
Number of constraints: 166
Satisfiable: True
Timestamp: 2025-07-20 22:08:48
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0

Component #1

Number of variables: 198
Number of constraints: 166

General features

Coarse blocks: 8,712
Value tables: 210

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 6 12 7.16 7.00 1,188 MAX VALUE 322.50 1.80 0.25 1.09

Coarse blocks size 1 2,048 73.32 2.00 638,748 MAX VALUE 13,315.70 349.55 4.77 1.19

Relational linkage 0.00 1.00 0.60 1.00 585.98 0.00 -1,860.93 0.47 0.78 1.28

Tightness 0.00 0.99 0.14 0.02 23.28 0.00 -687.56 0.32 2.31 1.28

Tuples 7 4,095 348.23 63.00 57,806 MAX VALUE 735.88 998.97 2.87 1.28

Values 2 2 2.00 2.00 396 MAX VALUE 137.24 0.00 0.00 0.00

Value table constraints 3 12 6.29 3.00 1,320 MAX VALUE 337.80 4.28 0.68 0.82

Value table partitions 2 64 4.63 2.00 972 MAX VALUE 182.99 11.34 2.45 0.26

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	6	12	7.16	7.00	1,188	MAX VALUE	322.50	1.80	0.25	1.09
Coarse blocks size	1	2,048	73.32	2.00	638,748	MAX VALUE	13,315.70	349.55	4.77	1.19
Relational linkage	0.00	1.00	0.60	1.00	585.98	0.00	-1,860.93	0.47	0.78	1.28
Tightness	0.00	0.99	0.14	0.02	23.28	0.00	-687.56	0.32	2.31	1.28
Tuples	7	4,095	348.23	63.00	57,806	MAX VALUE	735.88	998.97	2.87	1.28
Values	2	2	2.00	2.00	396	MAX VALUE	137.24	0.00	0.00	0.00
Value table constraints	3	12	6.29	3.00	1,320	MAX VALUE	337.80	4.28	0.68	0.82
Value table partitions	2	64	4.63	2.00	972	MAX VALUE	182.99	11.34	2.45	0.26

Tree decomposition

Number of clusters: 32
Number of leaves: 12
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 30
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Tree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 0 13 5.84 2.00 187 0 None 5.80 0.99 1.29

Variables per cluster 21 96 39.78 31.00 1,273 MAX VALUE 113.64 22.72 0.57 2.29

Separator constraints 0 10 0.66 0.00 21 0 None 1.74 2.66 0.77

Separator variables 0 72 33.59 30.00 1,075 0 None 16.86 0.50 2.25

Clusters per var 1 9 6.43 7.00 1,273 MAX VALUE 346.51 2.21 0.34 1.90

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	13	5.84	2.00	187	0	None	5.80	0.99	1.29
Variables per cluster	21	96	39.78	31.00	1,273	MAX VALUE	113.64	22.72	0.57	2.29
Separator constraints	0	10	0.66	0.00	21	0	None	1.74	2.66	0.77
Separator variables	0	72	33.59	30.00	1,075	0	None	16.86	0.50	2.25
Clusters per var	1	9	6.43	7.00	1,273	MAX VALUE	346.51	2.21	0.34	1.90

Dual tree decomposition

Number of clusters: 132
Number of leaves: 12
Tree depth: 16
CIR: 0.12
Independent Cluster Pairs: 1,047
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/DualTree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 18 134 66.00 61.00 8,712 MAX VALUE 531.03 35.23 0.53 3.09

Variables per cluster 18 19 18.50 18.50 2,442 MAX VALUE 385.10 0.50 0.03 0.69

Separator constraints 0 116 52.50 48.50 6,930 0 None 33.51 0.64 3.03

Separator variables 0 18 17.24 17.00 2,276 0 None 1.70 0.10 0.91

Clusters per variable 1 107 14.71 7.00 2,442 MAX VALUE 331.47 22.05 1.50 2.70

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	18	134	66.00	61.00	8,712	MAX VALUE	531.03	35.23	0.53	3.09
Variables per cluster	18	19	18.50	18.50	2,442	MAX VALUE	385.10	0.50	0.03	0.69
Separator constraints	0	116	52.50	48.50	6,930	0	None	33.51	0.64	3.03
Separator variables	0	18	17.24	17.00	2,276	0	None	1.70	0.10	0.91
Clusters per variable	1	107	14.71	7.00	2,442	MAX VALUE	331.47	22.05	1.50	2.70

Primal graph

Density: 12.44%
MCB compute time (ms): 1,942
MCB cycles: 2,290
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Primal1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.49 0.62 0.53 0.50 105.84 0.00 -125.03 0.06 0.10 1.33

Degree 20 27 24.52 26.00 4,854 MAX VALUE 632.03 2.85 0.12 1.33

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.10 3.00 7,095 MAX VALUE 2,580.55 0.30 0.10 0.32

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.62	0.53	0.50	105.84	0.00	-125.03	0.06	0.10	1.33
Degree	20	27	24.52	26.00	4,854	MAX VALUE	632.03	2.85	0.12	1.33
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.10	3.00	7,095	MAX VALUE	2,580.55	0.30	0.10	0.32

Triangulated primal graph

Density: 55.79%
MCB compute time (ms): 2,976
MCB cycles: 14,931
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.71 1.00 0.85 0.85 167.56 0.00 -34.06 0.09 0.10 3.66

Degree 20 164 109.90 119.00 21,760 MAX VALUE 906.58 42.39 0.39 3.14

Eccentricity None None None None None None None None None None

MCB cycle size 3 3 3.00 3.00 44,793 MAX VALUE 16,403.40 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.71	1.00	0.85	0.85	167.56	0.00	-34.06	0.09	0.10	3.66
Degree	20	164	109.90	119.00	21,760	MAX VALUE	906.58	42.39	0.39	3.14
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	44,793	MAX VALUE	16,403.40	0.00	0.00	0.00

Dual graph

Density: 13.01%
MCB compute time (ms): 317
MCB cycles: 1,617
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Dual1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.04 0.78 0.65 0.76 107.08 0.00 -104.83 0.25 0.38 1.28

Degree 17 66 21.47 18.00 3,564 MAX VALUE 495.89 12.02 0.56 1.28

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.10 3.00 5,016 MAX VALUE 1,823.92 0.30 0.10 0.33

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.04	0.78	0.65	0.76	107.08	0.00	-104.83	0.25	0.38	1.28
Degree	17	66	21.47	18.00	3,564	MAX VALUE	495.89	12.02	0.56	1.28
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.10	3.00	5,016	MAX VALUE	1,823.92	0.30	0.10	0.33

Minimal dual graph

Density: 3.29%
MCB compute time (ms): 42
MCB cycles: 285

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.33 0.23 0.20 37.82 0.00 None 0.11 0.50 1.40

Degree 4 12 5.42 4.00 900 MAX VALUE 266.55 2.70 0.50 1.06

Eccentricity None None None None None None None None None None

MCB cycle size 3 6 4.42 4.00 1,260 MAX VALUE 409.23 1.39 0.31 1.02

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.23	0.20	37.82	0.00	None	0.11	0.50	1.40
Degree	4	12	5.42	4.00	900	MAX VALUE	266.55	2.70	0.50	1.06
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	6	4.42	4.00	1,260	MAX VALUE	409.23	1.39	0.31	1.02

Triangulated dual graph

Density: 19.78%
Triangles: 21,685

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.22 1.00 0.85 0.92 140.34 0.00 -36.76 0.21 0.25 3.29

Degree 17 140 32.64 24.00 5,418 MAX VALUE 549.58 25.76 0.79 2.82

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.22	1.00	0.85	0.92	140.34	0.00	-36.76	0.21	0.25	3.29
Degree	17	140	32.64	24.00	5,418	MAX VALUE	549.58	25.76	0.79	2.82
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 9.26%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.22 1.00 0.79 0.87 131.19 0.00 -46.15 0.20 0.25 2.70

Degree 4 82 15.28 6.00 2,536 MAX VALUE 379.45 16.52 1.08 2.67

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.22	1.00	0.79	0.87	131.19	0.00	-46.15	0.20	0.25	2.70
Degree	4	82	15.28	6.00	2,536	MAX VALUE	379.45	16.52	1.08	2.67
Eccentricity	None	None	None	None	None	None	None	None	None	None

Incidence graph

Density: 1.80%
MCB compute time (ms): 262
MCB cycles: 825
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-12-11-ext/Incidence1.json

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 12 6.53 6.00 2,376 MAX VALUE 631.52 3.41 0.52 1.45

Eccentricity None None None None None None None None None None

MCB cycle size 4 8 5.09 4.00 4,200 MAX VALUE 1,306.72 1.61 0.32 0.88

XCSP 2.1 Benchmarks