Add some inter-op examples

[sunxd3]

partially address #245

[coveralls]

Pull Request Test Coverage Report for Build 12204374245

Details

• 0 of 0 changed or added relevant lines in 0 files are covered.
• No unchanged relevant lines lost coverage.
• Overall coverage remained the same at 70.755%

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Totals
Change from base Build 12184487204:	0.0%
Covered Lines:	1396
Relevant Lines:	1973

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💛 - Coveralls

[github-actions]

Benchmark results on macOS (aarch64)

BridgeStan not found at location specified by $BRIDGESTAN environment variable, downloading version 2.5.0 to /Users/runner/.bridgestan/bridgestan-2.5.0
Done!
Model dogs produces error: ErrorException("log_density() failed with unknown exception\n")

Model	Parameter Count	Data Count	Stan Density Time (µs)	Stan Density Gradient Time (µs)	JuliaBUGS Density Time with Graph Walk (µs)	JuliaBUGS Density Gradient Time with ReverseDiff.jl(compiled tape) (µs)
rats	65	150	5.0584	7.72233	54.917	278.209
pumps	12	10	0.876242	1.3396	9.13867	20.333
dogs	2	720	NA	NA	131.625	260.291
seeds	26	21	2.16031	2.86578	19.959	55.791
surgical_realistic	14	12	1.28027	1.76563	10.9795	25.084
magnesium	108	96	12.4375	13.75	99.396	205.041
salm	22	18	3.90471	4.55567	15.167	39.875
equiv	15	20	3.64063	4.51383	13.729	48.083
dyes	9	30	1.78644	2.26392	9.27767	41.333
stacks	6	21	1.27717	1.94792	17.375	43.875
epil	303	236	40.334	45.791	187.667	588.105
blockers	47	44	3.04633	3.58929	40.0625	81.875
oxford	244	240	11.125	13.5	240.417	489.625
lsat	1006	5000	98.791	138.667	1297.06	2822.46
bones	33	422	74.5	85.291	306.917	367.333
mice	20	65	6.75	8.80567	21.667	100.375
kidney	64	58	8.625	11.9165	47.292	185.27
leuk	18	714	17.208	22.5	156.854	442.209
leukfr	40	714	22.75	29.292	159.459	559.541

Benchmark results on Ubuntu (x64)

BridgeStan not found at location specified by $BRIDGESTAN environment variable, downloading version 2.5.0 to /home/runner/.bridgestan/bridgestan-2.5.0
Done!
Model dogs produces error: ErrorException("log_density() failed with exception: Exception: bernoulli_lpmf: Probability parameter is inf, but must be in the interval [0, 1] (in '/home/runner/work/JuliaBUGS.jl/JuliaBUGS.jl/benchmark/stan/bugs_examples/vol1/dogs/dogs.stan', line 37, column 6 to line 38, column 62)\n")

Model	Parameter Count	Data Count	Stan Density Time (µs)	Stan Density Gradient Time (µs)	JuliaBUGS Density Time with Graph Walk (µs)	JuliaBUGS Density Gradient Time with ReverseDiff.jl(compiled tape) (µs)
rats	65	150	5.5242	8.16867	64.7165	86.321
pumps	12	10	1.01607	1.3835	11.767	6.79525
dogs	2	720	NA	NA	169.857	149.479
seeds	26	21	2.40117	3.19378	28.102	22.101
surgical_realistic	14	12	1.28059	1.73908	15.158	8.653
magnesium	108	96	10.72	12.308	126.717	73.207
salm	22	18	2.40617	3.08578	22.352	12.528
equiv	15	20	2.49464	3.48275	19.105	15.378
dyes	9	30	1.00364	1.36638	12.5285	13.1745
stacks	6	21	1.19183	1.65365	22.142	15.089
epil	303	236	32.751	38.472	283.25	241.862
blockers	47	44	3.255	3.71825	57.1515	38.592
oxford	244	240	16.591	19.285	335.708	183.553
lsat	1006	5000	179.585	221.785	2075.72	1243.51
bones	33	422	72.907	88.255	417.135	186.584
mice	20	65	7.33125	9.421	27.862	43.641
kidney	64	58	10.9605	16.481	64.321	70.331
leuk	18	714	20.678	26.851	212.633	194.309
leukfr	40	714	24.054	31.831	235.581	281.361