Add NLPModel instead of an AD-backend

[codecov[bot]]

Codecov Report

Patch coverage: 80.09% and project coverage change: -2.05 :warning:

Comparison is base (21768c8) 95.44% compared to head (4e6bb6e) 93.40%.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #176 +/- ## ========================================== - Coverage 95.44% 93.40% -2.05% ========================================== Files 13 13 Lines 1494 1622 +128 ========================================== + Hits 1426 1515 +89 - Misses 68 107 +39 ``` | [Impacted Files](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers) | Coverage Δ | | |---|---|---| | [src/ADNLPModels.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL0FETkxQTW9kZWxzLmps) | `98.30% <66.66%> (-1.70%)` | :arrow_down: | | [src/ad\_api.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL2FkX2FwaS5qbA==) | `87.87% <69.56%> (-10.06%)` | :arrow_down: | | [src/ad.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL2FkLmps) | `88.99% <81.53%> (-11.01%)` | :arrow_down: | | [src/sparse\_hessian.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL3NwYXJzZV9oZXNzaWFuLmps) | `94.35% <87.50%> (ø)` | | | [src/forward.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL2ZvcndhcmQuamw=) | `100.00% <100.00%> (ø)` | | | [src/sparse\_diff\_tools.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL3NwYXJzZV9kaWZmX3Rvb2xzLmps) | `87.03% <100.00%> (ø)` | | | [src/sparse\_jacobian.jl](https://app.codecov.io/gh/JuliaSmoothOptimizers/ADNLPModels.jl/pull/176?src=pr&el=tree&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=JuliaSmoothOptimizers#diff-c3JjL3NwYXJzZV9qYWNvYmlhbi5qbA==) | `100.00% <100.00%> (ø)` | |

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[github-actions[bot]]

Package name	latest	stable
CaNNOLeS.jl
DCISolver.jl
DerivativeFreeSolvers.jl
JSOSolvers.jl
NLPModelsIpopt.jl
OptimizationProblems.jl
Percival.jl
QuadraticModels.jl
SolverBenchmark.jl
SolverTools.jl