Use NonlinearSolveFirstOrder subpackages and use new CI

[ErikQQY]

Fix: #242
Fix: #243
Fix: #244

This PR should be able to fix lots of things:

• BoundaryValueDiffEq now only uses first-order nonlinear solvers from NonlinearSolveFirstOrder, so the default polyalgs need updates, and LineSearches.jl is removed in favor of LineSearch.jl.
• BoundaryValueDiffEq is now configured to pick up the latest sub-packages from the lib directory directly
• Removed the __unsafe_nonlinearfunction and use NonlinearFunction everywhere
• Ascher methods should expand valstr for the next iteration error estimate when the mesh is doubled, and a new test case is added
• Reduced the precompile workload for FIRK methods

[ErikQQY]

Alright, this PR is done, I can open a new PR to clean the git history. Seems BVPM2 wrapper error about StackOverFlowError:

Error in testset "BVPM2" on worker 8969:
Error During Test at /home/runner/work/BoundaryValueDiffEq.jl/BoundaryValueDiffEq.jl/test/wrappers/odeinterface_tests.jl:32
  Got exception outside of a @test
  StackOverflowError:
  Stacktrace:
    [1] bvpm2_solve(guess_obj::ODEInterface.Bvpm2, rhs::Function, bc::Function, opt::ODEInterface.OptionsODE; Drhs::Nothing, Dbc::Nothing)
      @ ODEInterface ~/.julia/packages/ODEInterface/RwRLn/src/Bvpm2.jl:1240
    [2] bvpm2_solve
      @ ~/.julia/packages/ODEInterface/RwRLn/src/Bvpm2.jl:1155 [inlined]
    [3] __solve(prob::SciMLBase.BVProblem{Vector{Float64}, Tuple{Float64, Float64}, true, false, Vector{Float64}, SciMLBase.BVPFunction{true, SciMLBase.FullSpecialize, true, typeof(Main.var"##ODEInterfaceWrapperTestSetup#230".ex7_f!), Tuple{typeof(Main.var"##ODEInterfaceWrapperTestSetup#230".ex7_2pbc1!), typeof(Main.var"##ODEInterfaceWrapperTestSetup#230".ex7_2pbc2!)}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, RecursiveArrayTools.ArrayPartition{Float64, Tuple{Vector{Float64}, Vector{Float64}}}, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}, Nothing}, SciMLBase.TwoPointBVProblem{true}, @Kwargs{}}, alg::BoundaryValueDiffEq.BVPM2{Nothing}; dt::Float64, reltol::Float64, kwargs::@Kwargs{})
      @ BoundaryValueDiffEqODEInterfaceExt ~/work/BoundaryValueDiffEq.jl/BoundaryValueDiffEq.jl/ext/BoundaryValueDiffEqODEInterfaceExt.jl:85
    [4] __solve
      @ ~/work/BoundaryValueDiffEq.jl/BoundaryValueDiffEq.jl/ext/BoundaryValueDiffEqODEInterfaceExt.jl:26 [inlined]
    [5] #solve_call#44
      @ ~/.julia/packages/DiffEqBase/HW4ge/src/solve.jl:632 [inlined]
    [6] solve_call
      @ ~/.julia/packages/DiffEqBase/HW4ge/src/solve.jl:589 [inlined]
    [7] #solve_up#53
      @ ~/.julia/packages/DiffEqBase/HW4ge/src/solve.jl:1120 [inlined]
    [8] solve_up
      @ ~/.julia/packages/DiffEqBase/HW4ge/src/solve.jl:1099 [inlined]
    [9] #solve#51
      @ ~/.julia/packages/DiffEqBase/HW4ge/src/solve.jl:1036 [inlined]
   [10] top-level scope
      @ ~/work/BoundaryValueDiffEq.jl/BoundaryValueDiffEq.jl/test/wrappers/odeinterface_tests.jl:38
   [11] eval
      @ ./boot.jl:430 [inlined]
   [12] #93
      @ ~/.julia/packages/ReTestItems/ecp6j/src/ReTestItems.jl:1067 [inlined]
   [13] with_source_path(f::ReTestItems.var"#93#97"{Expr}, path::String)
      @ ReTestItems ~/.julia/packages/ReTestItems/ecp6j/src/ReTestItems.jl:885
   [14] (::ReTestItems.var"#92#96"{TestItem, String, Expr, Expr})()
      @ ReTestItems ~/.julia/packages/ReTestItems/ecp6j/src/ReTestItems.jl:1067
   [15] redirect_stdio(f::ReTestItems.var"#92#96"{TestItem, String, Expr, Expr}; stdin::Nothing, stderr::IOContext{IOStream}, stdout::IOContext{IOStream})
      @ Base ./stream.jl:1439
   [16] redirect_stdio
      @ ./stream.jl:1402 [inlined]
   [17] _redirect_logs(f::ReTestItems.var"#92#96"{TestItem, String, Expr, Expr}, target::IOStream)
      @ ReTestItems ~/.julia/packages/ReTestItems/ecp6j/src/log_capture.jl:124
   [18] #31
      @ ~/.julia/packages/ReTestItems/ecp6j/src/log_capture.jl:107 [inlined]
   [19] open(::ReTestItems.var"#31#32"{ReTestItems.var"#92#96"{TestItem, String, Expr, Expr}}, ::String, ::Vararg{String}; kwargs::@Kwargs{})
      @ Base ./io.jl:410
   [20] open
      @ ./io.jl:407 [inlined]
   [21] _redirect_logs
      @ ~/.julia/packages/ReTestItems/ecp6j/src/log_capture.jl:107 [inlined]
   [22] macro expansion
      @ ~/.julia/packages/ReTestItems/ecp6j/src/macros.jl:82 [inlined]
   [23] runtestitem(ti::TestItem, ctx::ReTestItems.TestContext; test_end_expr::Expr, logs::Symbol, verbose_results::Bool, finish_test::Bool, catch_test_error::Bool, failfast::Bool)
      @ ReTestItems ~/.julia/packages/ReTestItems/ecp6j/src/ReTestItems.jl:1064
   [24] top-level scope
      @ none:1
   [25] eval
      @ ./boot.jl:430 [inlined]
   [26] execute
      @ ~/.julia/packages/ReTestItems/ecp6j/src/workers.jl:332 [inlined]
   [27] (::ReTestItems.Workers.var"#22#23"{Sockets.TCPSocket, ReentrantLock, ReTestItems.Workers.Request})()
      @ ReTestItems.Workers ~/.julia/packages/ReTestItems/ecp6j/src/workers.jl:346

while the wrappers algorithms have not been touched, I am not sure where this problem come from, also this error can't be reproduced in a local environment🤔

[ChrisRackauckas]

Expanded seem to fail?

[ErikQQY]

Should be ready now

[ChrisRackauckas]

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