XCSP 2.1 Benchmark Database

Instance: normalized-fpga-15-15-ext
Number of variables: 338
Number of constraints: 270
Satisfiable: True
Timestamp: 2025-07-20 22:08:48
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0

Component #1

Number of variables: 338
Number of constraints: 270

General features

Coarse blocks: 49,126
Value tables: 353

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

Arity 7 15 9.20 9.00 2,483 MAX VALUE 593.51 2.12 0.23 1.06

Coarse blocks size 1 16,384 167.56 2.00 8,231,320 MAX VALUE 55,776.20 1,560.16 9.31 0.55

Relational linkage 0.00 1.00 0.81 1.00 2,947.34 0.00 -4,568.11 0.38 0.47 0.80

Tightness 0.00 1.00 0.11 0.00 29.92 0.00 -1,487.55 0.31 2.76 1.25

Tuples 8 32,767 2,148.03 383.00 579,968 MAX VALUE 1,559.88 7,428.06 3.46 1.25

Values 2 2 2.00 2.00 676 MAX VALUE 234.28 0.00 0.00 0.00

Value table constraints 3 16 7.67 3.00 2,708 MAX VALUE 601.11 6.20 0.81 0.79

Value table partitions 2 256 10.26 2.00 3,620 MAX VALUE 312.61 41.34 4.03 0.21

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	15	9.20	9.00	2,483	MAX VALUE	593.51	2.12	0.23	1.06
Coarse blocks size	1	16,384	167.56	2.00	8,231,320	MAX VALUE	55,776.20	1,560.16	9.31	0.55
Relational linkage	0.00	1.00	0.81	1.00	2,947.34	0.00	-4,568.11	0.38	0.47	0.80
Tightness	0.00	1.00	0.11	0.00	29.92	0.00	-1,487.55	0.31	2.76	1.25
Tuples	8	32,767	2,148.03	383.00	579,968	MAX VALUE	1,559.88	7,428.06	3.46	1.25
Values	2	2	2.00	2.00	676	MAX VALUE	234.28	0.00	0.00	0.00
Value table constraints	3	16	7.67	3.00	2,708	MAX VALUE	601.11	6.20	0.81	0.79
Value table partitions	2	256	10.26	2.00	3,620	MAX VALUE	312.61	41.34	4.03	0.21

Tree decomposition

Number of clusters: 43
Number of leaves: 15
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 56
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Tree1.json

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

Cluster constraints 0 17 6.63 2.00 285 0 None 7.63 1.15 1.10

Variables per cluster 28 176 57.09 41.00 2,455 MAX VALUE 166.71 38.21 0.67 2.12

Separator constraints 0 1 0.35 0.00 15 0 None 0.48 1.37 0.65

Separator variables 0 120 49.23 40.00 2,117 0 None 28.40 0.58 2.08

Clusters per var 1 9 7.26 8.00 2,455 MAX VALUE 637.33 2.29 0.31 1.69

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	17	6.63	2.00	285	0	None	7.63	1.15	1.10
Variables per cluster	28	176	57.09	41.00	2,455	MAX VALUE	166.71	38.21	0.67	2.12
Separator constraints	0	1	0.35	0.00	15	0	None	0.48	1.37	0.65
Separator variables	0	120	49.23	40.00	2,117	0	None	28.40	0.58	2.08
Clusters per var	1	9	7.26	8.00	2,455	MAX VALUE	637.33	2.29	0.31	1.69

Dual tree decomposition

Number of clusters: 225
Number of leaves: 15
Tree depth: 21
CIR: 0.03
Independent Cluster Pairs: 640
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/DualTree1.json

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

Cluster constraints 24 242 114.60 109.00 25,785 MAX VALUE 1,021.41 65.64 0.57 3.40

Variables per cluster 24 25 24.53 25.00 5,520 MAX VALUE 719.96 0.50 0.02 0.69

Separator constraints 0 218 97.07 92.00 21,840 0 None 62.78 0.65 3.35

Separator variables 0 24 23.33 23.00 5,250 0 None 1.75 0.07 0.85

Clusters per variable 1 219 20.44 9.50 5,520 MAX VALUE 599.96 36.53 1.79 3.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	24	242	114.60	109.00	25,785	MAX VALUE	1,021.41	65.64	0.57	3.40
Variables per cluster	24	25	24.53	25.00	5,520	MAX VALUE	719.96	0.50	0.02	0.69
Separator constraints	0	218	97.07	92.00	21,840	0	None	62.78	0.65	3.35
Separator variables	0	24	23.33	23.00	5,250	0	None	1.75	0.07	0.85
Clusters per variable	1	219	20.44	9.50	5,520	MAX VALUE	599.96	36.53	1.79	3.00

Primal graph

Density: 9.81%
MCB compute time (ms): 13,605
MCB cycles: 5,614
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Primal1.json

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

Clustering coefficient 0.51 0.64 0.55 0.51 185.59 0.00 -204.41 0.06 0.10 1.33

Degree 27 36 33.06 35.00 11,174 MAX VALUE 1,180.34 3.56 0.11 1.33

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.12 3.00 17,500 MAX VALUE 6,356.90 0.32 0.10 0.36

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.51	0.64	0.55	0.51	185.59	0.00	-204.41	0.06	0.10	1.33
Degree	27	36	33.06	35.00	11,174	MAX VALUE	1,180.34	3.56	0.11	1.33
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.12	3.00	17,500	MAX VALUE	6,356.90	0.32	0.10	0.36

Triangulated primal graph

Density: 55.93%
MCB compute time (ms): 529,273
MCB cycles: 36,534
Triangles: None

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

Clustering coefficient 0.75 1.00 0.85 0.85 287.25 0.00 -56.52 0.08 0.10 3.02

Degree 27 266 188.47 218.00 63,702 MAX VALUE 1,726.21 73.87 0.39 2.82

Eccentricity None None None None None None None None None None

MCB cycle size 3 3 3.00 3.00 109,602 MAX VALUE 40,136.70 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.75	1.00	0.85	0.85	287.25	0.00	-56.52	0.08	0.10	3.02
Degree	27	266	188.47	218.00	63,702	MAX VALUE	1,726.21	73.87	0.39	2.82
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	109,602	MAX VALUE	40,136.70	0.00	0.00	0.00

Dual graph

Density: 10.86%
MCB compute time (ms): 2,772
MCB cycles: 3,676
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Dual1.json

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

Clustering coefficient 0.03 0.81 0.69 0.79 185.99 0.00 -151.90 0.25 0.36 1.25

Degree 23 120 29.22 24.00 7,890 MAX VALUE 883.51 20.50 0.70 1.17

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.08 3.00 11,322 MAX VALUE 4,123.08 0.27 0.09 0.28

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.03	0.81	0.69	0.79	185.99	0.00	-151.90	0.25	0.36	1.25
Degree	23	120	29.22	24.00	7,890	MAX VALUE	883.51	20.50	0.70	1.17
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.08	3.00	11,322	MAX VALUE	4,123.08	0.27	0.09	0.28

Minimal dual graph

Density: 2.13%
MCB compute time (ms): 131
MCB cycles: 504

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

Clustering coefficient 0.00 0.33 0.23 0.20 62.33 0.00 None 0.11 0.49 1.38

Degree 4 16 5.73 4.00 1,546 MAX VALUE 439.40 3.58 0.62 1.18

Eccentricity None None None None None None None None None None

MCB cycle size 3 6 4.37 4.00 2,202 MAX VALUE 719.47 1.33 0.30 1.22

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.23	0.20	62.33	0.00	None	0.11	0.49	1.38
Degree	4	16	5.73	4.00	1,546	MAX VALUE	439.40	3.58	0.62	1.18
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	6	4.37	4.00	2,202	MAX VALUE	719.47	1.33	0.30	1.22

Triangulated dual graph

Density: 16.56%
Triangles: 66,182

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

Clustering coefficient 0.16 1.00 0.86 0.92 231.17 0.00 -56.83 0.21 0.24 3.58

Degree 23 263 44.53 32.00 12,024 MAX VALUE 971.23 40.81 0.92 3.05

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	0.16	1.00	0.86	0.92	231.17	0.00	-56.83	0.21	0.24	3.58
Degree	23	263	44.53	32.00	12,024	MAX VALUE	971.23	40.81	0.92	3.05
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 6.80%

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

Clustering coefficient 0.21 1.00 0.81 0.87 217.91 0.00 -68.15 0.19 0.24 2.91

Degree 4 120 18.30 6.00 4,942 MAX VALUE 634.27 22.33 1.22 2.98

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	0.21	1.00	0.81	0.87	217.91	0.00	-68.15	0.19	0.24	2.91
Degree	4	120	18.30	6.00	4,942	MAX VALUE	634.27	22.33	1.22	2.98
Eccentricity	None	None	None	None	None	None	None	None	None	None

Incidence graph

Density: 1.35%
MCB compute time (ms): 1,002
MCB cycles: 1,876
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-15-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 16 8.17 8.00 4,966 MAX VALUE 1,154.00 4.87 0.60 1.51

Eccentricity None None None None None None None None None None

MCB cycle size 4 8 4.85 4.00 9,100 MAX VALUE 2,889.62 1.49 0.31 0.76

XCSP 2.1 Benchmarks