diff --git a/.github/workflows/testing.yaml b/.github/workflows/testing.yaml
index c25474ab..0d75e819 100644
--- a/.github/workflows/testing.yaml
+++ b/.github/workflows/testing.yaml
@@ -69,6 +69,7 @@ jobs:
       if: ${{ matrix.r-testing }}
       run: |
         install.packages("ape", repos="http://cran.r-project.org")
+        install.packages("phylolm", repos="http://cran.r-project.org")
       shell: R --vanilla --file={0}
     - name: Cache
       uses: julia-actions/cache@v2
diff --git a/.zenodo.json b/.zenodo.json
index 2de32a8e..992f504b 100644
--- a/.zenodo.json
+++ b/.zenodo.json
@@ -9,6 +9,12 @@
             "affiliation": "University of Glasgow",
             "ror": "00vtgdb53"
         },
+        {
+            "name": "Davison, Emily",
+            "orcid": "0009-0000-3656-8309",
+            "affiliation": "University of Glasgow",
+            "ror": "00vtgdb53"
+        },
         {
             "name": "Borregaard, Michael",
             "orcid": "0000-0002-8146-8435",
diff --git a/Bayes/Manifest.toml b/Bayes/Manifest.toml
new file mode 100644
index 00000000..003909c1
--- /dev/null
+++ b/Bayes/Manifest.toml
@@ -0,0 +1,2264 @@
+# This file is machine-generated - editing it directly is not advised
+
+julia_version = "1.10.2"
+manifest_format = "2.0"
+project_hash = "03a1a6aee27e492e3b7b6366d12424e24d13866f"
+
+[[deps.ADTypes]]
+git-tree-sha1 = "016833eb52ba2d6bea9fcb50ca295980e728ee24"
+uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
+version = "0.2.7"
+
+[[deps.AbstractFFTs]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef"
+uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
+version = "1.5.0"
+weakdeps = ["ChainRulesCore", "Test"]
+
+    [deps.AbstractFFTs.extensions]
+    AbstractFFTsChainRulesCoreExt = "ChainRulesCore"
+    AbstractFFTsTestExt = "Test"
+
+[[deps.AbstractMCMC]]
+deps = ["BangBang", "ConsoleProgressMonitor", "Distributed", "FillArrays", "LogDensityProblems", "Logging", "LoggingExtras", "ProgressLogging", "Random", "StatsBase", "TerminalLoggers", "Transducers"]
+git-tree-sha1 = "b0489adc45a7c8cf0d8e2ddf764f89c1c3decebd"
+uuid = "80f14c24-f653-4e6a-9b94-39d6b0f70001"
+version = "5.2.0"
+
+[[deps.AbstractPPL]]
+deps = ["AbstractMCMC", "DensityInterface", "Random", "Setfield"]
+git-tree-sha1 = "9774889eac07c2e342e547b5c5c8ae5a2ce5c80b"
+uuid = "7a57a42e-76ec-4ea3-a279-07e840d6d9cf"
+version = "0.7.1"
+
+[[deps.AbstractTrees]]
+git-tree-sha1 = "2d9c9a55f9c93e8887ad391fbae72f8ef55e1177"
+uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
+version = "0.4.5"
+
+[[deps.Accessors]]
+deps = ["CompositionsBase", "ConstructionBase", "Dates", "InverseFunctions", "LinearAlgebra", "MacroTools", "Markdown", "Test"]
+git-tree-sha1 = "c0d491ef0b135fd7d63cbc6404286bc633329425"
+uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
+version = "0.1.36"
+
+    [deps.Accessors.extensions]
+    AccessorsAxisKeysExt = "AxisKeys"
+    AccessorsIntervalSetsExt = "IntervalSets"
+    AccessorsStaticArraysExt = "StaticArrays"
+    AccessorsStructArraysExt = "StructArrays"
+    AccessorsUnitfulExt = "Unitful"
+
+    [deps.Accessors.weakdeps]
+    AxisKeys = "94b1ba4f-4ee9-5380-92f1-94cde586c3c5"
+    IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
+    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
+
+[[deps.Adapt]]
+deps = ["LinearAlgebra", "Requires"]
+git-tree-sha1 = "6a55b747d1812e699320963ffde36f1ebdda4099"
+uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+version = "4.0.4"
+weakdeps = ["StaticArrays"]
+
+    [deps.Adapt.extensions]
+    AdaptStaticArraysExt = "StaticArrays"
+
+[[deps.AdvancedHMC]]
+deps = ["AbstractMCMC", "ArgCheck", "DocStringExtensions", "InplaceOps", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "ProgressMeter", "Random", "Requires", "Setfield", "SimpleUnPack", "Statistics", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "dfa0e3508fc3df81d28624b328f3b937c1df8bc2"
+uuid = "0bf59076-c3b1-5ca4-86bd-e02cd72cde3d"
+version = "0.6.1"
+
+    [deps.AdvancedHMC.extensions]
+    AdvancedHMCCUDAExt = "CUDA"
+    AdvancedHMCMCMCChainsExt = "MCMCChains"
+    AdvancedHMCOrdinaryDiffEqExt = "OrdinaryDiffEq"
+
+    [deps.AdvancedHMC.weakdeps]
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    MCMCChains = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
+    OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+
+[[deps.AdvancedMH]]
+deps = ["AbstractMCMC", "Distributions", "FillArrays", "LinearAlgebra", "LogDensityProblems", "Random", "Requires"]
+git-tree-sha1 = "16589dbdd36c782ff01700908e962b303474f641"
+uuid = "5b7e9947-ddc0-4b3f-9b55-0d8042f74170"
+version = "0.8.1"
+weakdeps = ["DiffResults", "ForwardDiff", "MCMCChains", "StructArrays"]
+
+    [deps.AdvancedMH.extensions]
+    AdvancedMHForwardDiffExt = ["DiffResults", "ForwardDiff"]
+    AdvancedMHMCMCChainsExt = "MCMCChains"
+    AdvancedMHStructArraysExt = "StructArrays"
+
+[[deps.AdvancedPS]]
+deps = ["AbstractMCMC", "Distributions", "Random", "Random123", "Requires", "StatsFuns"]
+git-tree-sha1 = "672f7ce648e06f93fceefde463c5855d77b6915a"
+uuid = "576499cb-2369-40b2-a588-c64705576edc"
+version = "0.5.4"
+weakdeps = ["Libtask"]
+
+    [deps.AdvancedPS.extensions]
+    AdvancedPSLibtaskExt = "Libtask"
+
+[[deps.AdvancedVI]]
+deps = ["Bijectors", "Distributions", "DistributionsAD", "DocStringExtensions", "ForwardDiff", "LinearAlgebra", "ProgressMeter", "Random", "Requires", "StatsBase", "StatsFuns", "Tracker"]
+git-tree-sha1 = "1f919a9c59cf3dfc68b64c22c453a2e356fca473"
+uuid = "b5ca4192-6429-45e5-a2d9-87aec30a685c"
+version = "0.2.4"
+
+[[deps.ArgCheck]]
+git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4"
+uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197"
+version = "2.3.0"
+
+[[deps.ArgTools]]
+uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
+version = "1.1.1"
+
+[[deps.ArnoldiMethod]]
+deps = ["LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae"
+uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
+version = "0.2.0"
+
+[[deps.ArrayInterface]]
+deps = ["Adapt", "LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "44691067188f6bd1b2289552a23e4b7572f4528d"
+uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
+version = "7.9.0"
+
+    [deps.ArrayInterface.extensions]
+    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
+    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
+    ArrayInterfaceCUDAExt = "CUDA"
+    ArrayInterfaceChainRulesExt = "ChainRules"
+    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
+    ArrayInterfaceReverseDiffExt = "ReverseDiff"
+    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
+    ArrayInterfaceTrackerExt = "Tracker"
+
+    [deps.ArrayInterface.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
+[[deps.Artifacts]]
+uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
+
+[[deps.Atomix]]
+deps = ["UnsafeAtomics"]
+git-tree-sha1 = "c06a868224ecba914baa6942988e2f2aade419be"
+uuid = "a9b6321e-bd34-4604-b9c9-b65b8de01458"
+version = "0.1.0"
+
+[[deps.AutoHashEquals]]
+deps = ["Pkg"]
+git-tree-sha1 = "daaeb6f7f77b88c072a83a2451801818acb5c63b"
+uuid = "15f4f7f2-30c1-5605-9d31-71845cf9641f"
+version = "2.1.0"
+
+[[deps.AxisAlgorithms]]
+deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
+git-tree-sha1 = "01b8ccb13d68535d73d2b0c23e39bd23155fb712"
+uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
+version = "1.1.0"
+
+[[deps.AxisArrays]]
+deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
+git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f"
+uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
+version = "0.4.7"
+
+[[deps.BangBang]]
+deps = ["Compat", "ConstructionBase", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables"]
+git-tree-sha1 = "7aa7ad1682f3d5754e3491bb59b8103cae28e3a3"
+uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
+version = "0.3.40"
+
+    [deps.BangBang.extensions]
+    BangBangChainRulesCoreExt = "ChainRulesCore"
+    BangBangDataFramesExt = "DataFrames"
+    BangBangStaticArraysExt = "StaticArrays"
+    BangBangStructArraysExt = "StructArrays"
+    BangBangTypedTablesExt = "TypedTables"
+
+    [deps.BangBang.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+    TypedTables = "9d95f2ec-7b3d-5a63-8d20-e2491e220bb9"
+
+[[deps.Base64]]
+uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
+
+[[deps.Baselet]]
+git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e"
+uuid = "9718e550-a3fa-408a-8086-8db961cd8217"
+version = "0.1.1"
+
+[[deps.BenchmarkTools]]
+deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
+git-tree-sha1 = "f1dff6729bc61f4d49e140da1af55dcd1ac97b2f"
+uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+version = "1.5.0"
+
+[[deps.Bijectors]]
+deps = ["ArgCheck", "ChainRules", "ChainRulesCore", "ChangesOfVariables", "Compat", "Distributions", "Functors", "InverseFunctions", "IrrationalConstants", "LinearAlgebra", "LogExpFunctions", "MappedArrays", "Random", "Reexport", "Requires", "Roots", "SparseArrays", "Statistics"]
+git-tree-sha1 = "199dc2c4151db557549a0ad8888ce1a60337ff42"
+uuid = "76274a88-744f-5084-9051-94815aaf08c4"
+version = "0.13.8"
+
+    [deps.Bijectors.extensions]
+    BijectorsDistributionsADExt = "DistributionsAD"
+    BijectorsForwardDiffExt = "ForwardDiff"
+    BijectorsLazyArraysExt = "LazyArrays"
+    BijectorsReverseDiffExt = "ReverseDiff"
+    BijectorsTrackerExt = "Tracker"
+    BijectorsZygoteExt = "Zygote"
+
+    [deps.Bijectors.weakdeps]
+    DistributionsAD = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.BitFlags]]
+git-tree-sha1 = "2dc09997850d68179b69dafb58ae806167a32b1b"
+uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
+version = "0.1.8"
+
+[[deps.Bzip2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "9e2a6b69137e6969bab0152632dcb3bc108c8bdd"
+uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
+version = "1.0.8+1"
+
+[[deps.CEnum]]
+git-tree-sha1 = "389ad5c84de1ae7cf0e28e381131c98ea87d54fc"
+uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
+version = "0.5.0"
+
+[[deps.Cairo_jll]]
+deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
+git-tree-sha1 = "a4c43f59baa34011e303e76f5c8c91bf58415aaf"
+uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
+version = "1.18.0+1"
+
+[[deps.Calculus]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
+uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
+version = "0.5.1"
+
+[[deps.ChainRules]]
+deps = ["Adapt", "ChainRulesCore", "Compat", "Distributed", "GPUArraysCore", "IrrationalConstants", "LinearAlgebra", "Random", "RealDot", "SparseArrays", "SparseInverseSubset", "Statistics", "StructArrays", "SuiteSparse"]
+git-tree-sha1 = "4e42872be98fa3343c4f8458cbda8c5c6a6fa97c"
+uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+version = "1.63.0"
+
+[[deps.ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra"]
+git-tree-sha1 = "575cd02e080939a33b6df6c5853d14924c08e35b"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "1.23.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ChainRulesCore.extensions]
+    ChainRulesCoreSparseArraysExt = "SparseArrays"
+
+[[deps.ChangesOfVariables]]
+deps = ["LinearAlgebra", "Test"]
+git-tree-sha1 = "2fba81a302a7be671aefe194f0525ef231104e7f"
+uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+version = "0.1.8"
+weakdeps = ["InverseFunctions"]
+
+    [deps.ChangesOfVariables.extensions]
+    ChangesOfVariablesInverseFunctionsExt = "InverseFunctions"
+
+[[deps.CodecZlib]]
+deps = ["TranscodingStreams", "Zlib_jll"]
+git-tree-sha1 = "59939d8a997469ee05c4b4944560a820f9ba0d73"
+uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
+version = "0.7.4"
+
+[[deps.ColorSchemes]]
+deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
+git-tree-sha1 = "67c1f244b991cad9b0aa4b7540fb758c2488b129"
+uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
+version = "3.24.0"
+
+[[deps.ColorTypes]]
+deps = ["FixedPointNumbers", "Random"]
+git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4"
+uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
+version = "0.11.4"
+
+[[deps.ColorVectorSpace]]
+deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
+git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
+uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
+version = "0.10.0"
+weakdeps = ["SpecialFunctions"]
+
+    [deps.ColorVectorSpace.extensions]
+    SpecialFunctionsExt = "SpecialFunctions"
+
+[[deps.Colors]]
+deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
+git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a"
+uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
+version = "0.12.10"
+
+[[deps.Combinatorics]]
+git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
+uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+version = "1.0.2"
+
+[[deps.CommonSolve]]
+git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
+uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
+version = "0.2.4"
+
+[[deps.CommonSubexpressions]]
+deps = ["MacroTools", "Test"]
+git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
+uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
+version = "0.3.0"
+
+[[deps.Compat]]
+deps = ["TOML", "UUIDs"]
+git-tree-sha1 = "c955881e3c981181362ae4088b35995446298b80"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "4.14.0"
+weakdeps = ["Dates", "LinearAlgebra"]
+
+    [deps.Compat.extensions]
+    CompatLinearAlgebraExt = "LinearAlgebra"
+
+[[deps.CompilerSupportLibraries_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+version = "1.1.0+0"
+
+[[deps.CompositionsBase]]
+git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad"
+uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
+version = "0.1.2"
+weakdeps = ["InverseFunctions"]
+
+    [deps.CompositionsBase.extensions]
+    CompositionsBaseInverseFunctionsExt = "InverseFunctions"
+
+[[deps.ConcurrentUtilities]]
+deps = ["Serialization", "Sockets"]
+git-tree-sha1 = "6cbbd4d241d7e6579ab354737f4dd95ca43946e1"
+uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
+version = "2.4.1"
+
+[[deps.ConsoleProgressMonitor]]
+deps = ["Logging", "ProgressMeter"]
+git-tree-sha1 = "3ab7b2136722890b9af903859afcf457fa3059e8"
+uuid = "88cd18e8-d9cc-4ea6-8889-5259c0d15c8b"
+version = "0.1.2"
+
+[[deps.ConstructionBase]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "260fd2400ed2dab602a7c15cf10c1933c59930a2"
+uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
+version = "1.5.5"
+weakdeps = ["IntervalSets", "StaticArrays"]
+
+    [deps.ConstructionBase.extensions]
+    ConstructionBaseIntervalSetsExt = "IntervalSets"
+    ConstructionBaseStaticArraysExt = "StaticArrays"
+
+[[deps.Contour]]
+git-tree-sha1 = "439e35b0b36e2e5881738abc8857bd92ad6ff9a8"
+uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
+version = "0.6.3"
+
+[[deps.Crayons]]
+git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15"
+uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
+version = "4.1.1"
+
+[[deps.DataAPI]]
+git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.16.0"
+
+[[deps.DataFrames]]
+deps = ["Compat", "DataAPI", "DataStructures", "Future", "InlineStrings", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrecompileTools", "PrettyTables", "Printf", "REPL", "Random", "Reexport", "SentinelArrays", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
+git-tree-sha1 = "04c738083f29f86e62c8afc341f0967d8717bdb8"
+uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+version = "1.6.1"
+
+[[deps.DataStructures]]
+deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "0f4b5d62a88d8f59003e43c25a8a90de9eb76317"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.18.18"
+
+[[deps.DataValueInterfaces]]
+git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
+uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
+version = "1.0.0"
+
+[[deps.DataValues]]
+deps = ["DataValueInterfaces", "Dates"]
+git-tree-sha1 = "d88a19299eba280a6d062e135a43f00323ae70bf"
+uuid = "e7dc6d0d-1eca-5fa6-8ad6-5aecde8b7ea5"
+version = "0.4.13"
+
+[[deps.Dates]]
+deps = ["Printf"]
+uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
+
+[[deps.DefineSingletons]]
+git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c"
+uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52"
+version = "0.1.2"
+
+[[deps.DelimitedFiles]]
+deps = ["Mmap"]
+git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
+uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
+version = "1.9.1"
+
+[[deps.DensityInterface]]
+deps = ["InverseFunctions", "Test"]
+git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b"
+uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+version = "0.4.0"
+
+[[deps.DiffResults]]
+deps = ["StaticArraysCore"]
+git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621"
+uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
+version = "1.1.0"
+
+[[deps.DiffRules]]
+deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
+git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
+uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
+version = "1.15.1"
+
+[[deps.Distances]]
+deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
+git-tree-sha1 = "66c4c81f259586e8f002eacebc177e1fb06363b0"
+uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
+version = "0.10.11"
+weakdeps = ["ChainRulesCore", "SparseArrays"]
+
+    [deps.Distances.extensions]
+    DistancesChainRulesCoreExt = "ChainRulesCore"
+    DistancesSparseArraysExt = "SparseArrays"
+
+[[deps.Distributed]]
+deps = ["Random", "Serialization", "Sockets"]
+uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
+
+[[deps.Distributions]]
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "7c302d7a5fec5214eb8a5a4c466dcf7a51fcf169"
+uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
+version = "0.25.107"
+weakdeps = ["ChainRulesCore", "DensityInterface", "Test"]
+
+    [deps.Distributions.extensions]
+    DistributionsChainRulesCoreExt = "ChainRulesCore"
+    DistributionsDensityInterfaceExt = "DensityInterface"
+    DistributionsTestExt = "Test"
+
+[[deps.DistributionsAD]]
+deps = ["Adapt", "ChainRules", "ChainRulesCore", "Compat", "Distributions", "FillArrays", "LinearAlgebra", "PDMats", "Random", "Requires", "SpecialFunctions", "StaticArrays", "StatsFuns", "ZygoteRules"]
+git-tree-sha1 = "060a19f3f879773399a7011676eb273ccc265241"
+uuid = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+version = "0.6.54"
+
+    [deps.DistributionsAD.extensions]
+    DistributionsADForwardDiffExt = "ForwardDiff"
+    DistributionsADLazyArraysExt = "LazyArrays"
+    DistributionsADReverseDiffExt = "ReverseDiff"
+    DistributionsADTrackerExt = "Tracker"
+
+    [deps.DistributionsAD.weakdeps]
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
+[[deps.DocStringExtensions]]
+deps = ["LibGit2"]
+git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
+uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
+version = "0.9.3"
+
+[[deps.Downloads]]
+deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
+uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
+version = "1.6.0"
+
+[[deps.DualNumbers]]
+deps = ["Calculus", "NaNMath", "SpecialFunctions"]
+git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566"
+uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
+version = "0.6.8"
+
+[[deps.DynamicPPL]]
+deps = ["ADTypes", "AbstractMCMC", "AbstractPPL", "BangBang", "Bijectors", "Compat", "ConstructionBase", "Distributions", "DocStringExtensions", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "MacroTools", "OrderedCollections", "Random", "Requires", "Setfield", "Test"]
+git-tree-sha1 = "6fe2424f8f47c0fecd01349a2a77987f3c988393"
+uuid = "366bfd00-2699-11ea-058f-f148b4cae6d8"
+version = "0.24.9"
+
+    [deps.DynamicPPL.extensions]
+    DynamicPPLChainRulesCoreExt = ["ChainRulesCore"]
+    DynamicPPLEnzymeCoreExt = ["EnzymeCore"]
+    DynamicPPLForwardDiffExt = ["ForwardDiff"]
+    DynamicPPLMCMCChainsExt = ["MCMCChains"]
+    DynamicPPLReverseDiffExt = ["ReverseDiff"]
+    DynamicPPLZygoteRulesExt = ["ZygoteRules"]
+
+    [deps.DynamicPPL.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    MCMCChains = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    ZygoteRules = "700de1a5-db45-46bc-99cf-38207098b444"
+
+[[deps.EllipticalSliceSampling]]
+deps = ["AbstractMCMC", "ArrayInterface", "Distributions", "Random", "Statistics"]
+git-tree-sha1 = "e611b7fdfbfb5b18d5e98776c30daede41b44542"
+uuid = "cad2338a-1db2-11e9-3401-43bc07c9ede2"
+version = "2.0.0"
+
+[[deps.EnumX]]
+git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
+uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
+version = "1.0.4"
+
+[[deps.EpollShim_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
+uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
+version = "0.0.20230411+0"
+
+[[deps.ExceptionUnwrapping]]
+deps = ["Test"]
+git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
+uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
+version = "0.1.10"
+
+[[deps.Expat_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "4558ab818dcceaab612d1bb8c19cee87eda2b83c"
+uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
+version = "2.5.0+0"
+
+[[deps.ExprTools]]
+git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
+uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
+version = "0.1.10"
+
+[[deps.FFMPEG]]
+deps = ["FFMPEG_jll"]
+git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
+uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
+version = "0.4.1"
+
+[[deps.FFMPEG_jll]]
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
+git-tree-sha1 = "466d45dc38e15794ec7d5d63ec03d776a9aff36e"
+uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
+version = "4.4.4+1"
+
+[[deps.FFTW]]
+deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
+git-tree-sha1 = "4820348781ae578893311153d69049a93d05f39d"
+uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+version = "1.8.0"
+
+[[deps.FFTW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
+uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
+version = "3.3.10+0"
+
+[[deps.FileWatching]]
+uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
+
+[[deps.FillArrays]]
+deps = ["LinearAlgebra", "Random"]
+git-tree-sha1 = "5b93957f6dcd33fc343044af3d48c215be2562f1"
+uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
+version = "1.9.3"
+weakdeps = ["PDMats", "SparseArrays", "Statistics"]
+
+    [deps.FillArrays.extensions]
+    FillArraysPDMatsExt = "PDMats"
+    FillArraysSparseArraysExt = "SparseArrays"
+    FillArraysStatisticsExt = "Statistics"
+
+[[deps.FiniteDiff]]
+deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "bc0c5092d6caaea112d3c8e3b238d61563c58d5f"
+uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
+version = "2.23.0"
+
+    [deps.FiniteDiff.extensions]
+    FiniteDiffBandedMatricesExt = "BandedMatrices"
+    FiniteDiffBlockBandedMatricesExt = "BlockBandedMatrices"
+    FiniteDiffStaticArraysExt = "StaticArrays"
+
+    [deps.FiniteDiff.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+
+[[deps.FixedPointNumbers]]
+deps = ["Statistics"]
+git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
+uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
+version = "0.8.4"
+
+[[deps.Fontconfig_jll]]
+deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
+git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
+uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
+version = "2.13.93+0"
+
+[[deps.Format]]
+git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc"
+uuid = "1fa38f19-a742-5d3f-a2b9-30dd87b9d5f8"
+version = "1.3.7"
+
+[[deps.ForwardDiff]]
+deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
+git-tree-sha1 = "cf0fe81336da9fb90944683b8c41984b08793dad"
+uuid = "f6369f11-7733-5829-9624-2563aa707210"
+version = "0.10.36"
+weakdeps = ["StaticArrays"]
+
+    [deps.ForwardDiff.extensions]
+    ForwardDiffStaticArraysExt = "StaticArrays"
+
+[[deps.FreeType2_jll]]
+deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "d8db6a5a2fe1381c1ea4ef2cab7c69c2de7f9ea0"
+uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
+version = "2.13.1+0"
+
+[[deps.FriBidi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
+uuid = "559328eb-81f9-559d-9380-de523a88c83c"
+version = "1.0.10+0"
+
+[[deps.FunctionWrappers]]
+git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e"
+uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
+version = "1.1.3"
+
+[[deps.FunctionWrappersWrappers]]
+deps = ["FunctionWrappers"]
+git-tree-sha1 = "b104d487b34566608f8b4e1c39fb0b10aa279ff8"
+uuid = "77dc65aa-8811-40c2-897b-53d922fa7daf"
+version = "0.1.3"
+
+[[deps.Functors]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "fa8d8fcfa6c38a9a7aa07233e35b3d9a39ec751a"
+uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
+version = "0.4.9"
+
+[[deps.Future]]
+deps = ["Random"]
+uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
+
+[[deps.GLFW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
+git-tree-sha1 = "ff38ba61beff76b8f4acad8ab0c97ef73bb670cb"
+uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
+version = "3.3.9+0"
+
+[[deps.GPUArraysCore]]
+deps = ["Adapt"]
+git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950"
+uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
+version = "0.1.6"
+
+[[deps.GR]]
+deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "UUIDs", "p7zip_jll"]
+git-tree-sha1 = "3437ade7073682993e092ca570ad68a2aba26983"
+uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
+version = "0.73.3"
+
+[[deps.GR_jll]]
+deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
+git-tree-sha1 = "a96d5c713e6aa28c242b0d25c1347e258d6541ab"
+uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
+version = "0.73.3+0"
+
+[[deps.Gettext_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
+git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
+uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
+version = "0.21.0+0"
+
+[[deps.Glib_jll]]
+deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
+git-tree-sha1 = "359a1ba2e320790ddbe4ee8b4d54a305c0ea2aff"
+uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
+version = "2.80.0+0"
+
+[[deps.Graphite2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
+uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
+version = "1.3.14+0"
+
+[[deps.Graphs]]
+deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
+git-tree-sha1 = "899050ace26649433ef1af25bc17a815b3db52b7"
+uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
+version = "1.9.0"
+
+[[deps.Grisu]]
+git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
+uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
+version = "1.0.2"
+
+[[deps.HTTP]]
+deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
+git-tree-sha1 = "8e59b47b9dc525b70550ca082ce85bcd7f5477cd"
+uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
+version = "1.10.5"
+
+[[deps.HarfBuzz_jll]]
+deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
+git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3"
+uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
+version = "2.8.1+1"
+
+[[deps.HypergeometricFunctions]]
+deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
+git-tree-sha1 = "f218fe3736ddf977e0e772bc9a586b2383da2685"
+uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
+version = "0.3.23"
+
+[[deps.Inflate]]
+git-tree-sha1 = "ea8031dea4aff6bd41f1df8f2fdfb25b33626381"
+uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
+version = "0.1.4"
+
+[[deps.InitialValues]]
+git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
+uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
+version = "0.3.1"
+
+[[deps.InlineStrings]]
+deps = ["Parsers"]
+git-tree-sha1 = "9cc2baf75c6d09f9da536ddf58eb2f29dedaf461"
+uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48"
+version = "1.4.0"
+
+[[deps.InplaceOps]]
+deps = ["LinearAlgebra", "Test"]
+git-tree-sha1 = "50b41d59e7164ab6fda65e71049fee9d890731ff"
+uuid = "505f98c9-085e-5b2c-8e89-488be7bf1f34"
+version = "0.3.0"
+
+[[deps.IntelOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "5fdf2fe6724d8caabf43b557b84ce53f3b7e2f6b"
+uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
+version = "2024.0.2+0"
+
+[[deps.InteractiveUtils]]
+deps = ["Markdown"]
+uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
+
+[[deps.Interpolations]]
+deps = ["Adapt", "AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
+git-tree-sha1 = "88a101217d7cb38a7b481ccd50d21876e1d1b0e0"
+uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
+version = "0.15.1"
+weakdeps = ["Unitful"]
+
+    [deps.Interpolations.extensions]
+    InterpolationsUnitfulExt = "Unitful"
+
+[[deps.IntervalSets]]
+git-tree-sha1 = "dba9ddf07f77f60450fe5d2e2beb9854d9a49bd0"
+uuid = "8197267c-284f-5f27-9208-e0e47529a953"
+version = "0.7.10"
+weakdeps = ["Random", "RecipesBase", "Statistics"]
+
+    [deps.IntervalSets.extensions]
+    IntervalSetsRandomExt = "Random"
+    IntervalSetsRecipesBaseExt = "RecipesBase"
+    IntervalSetsStatisticsExt = "Statistics"
+
+[[deps.InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "896385798a8d49a255c398bd49162062e4a4c435"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.13"
+weakdeps = ["Dates"]
+
+    [deps.InverseFunctions.extensions]
+    DatesExt = "Dates"
+
+[[deps.InvertedIndices]]
+git-tree-sha1 = "0dc7b50b8d436461be01300fd8cd45aa0274b038"
+uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
+version = "1.3.0"
+
+[[deps.IrrationalConstants]]
+git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
+uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
+version = "0.2.2"
+
+[[deps.IterTools]]
+git-tree-sha1 = "42d5f897009e7ff2cf88db414a389e5ed1bdd023"
+uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
+version = "1.10.0"
+
+[[deps.IterableTables]]
+deps = ["DataValues", "IteratorInterfaceExtensions", "Requires", "TableTraits", "TableTraitsUtils"]
+git-tree-sha1 = "70300b876b2cebde43ebc0df42bc8c94a144e1b4"
+uuid = "1c8ee90f-4401-5389-894e-7a04a3dc0f4d"
+version = "1.0.0"
+
+[[deps.IteratorInterfaceExtensions]]
+git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
+uuid = "82899510-4779-5014-852e-03e436cf321d"
+version = "1.0.0"
+
+[[deps.JLFzf]]
+deps = ["Pipe", "REPL", "Random", "fzf_jll"]
+git-tree-sha1 = "a53ebe394b71470c7f97c2e7e170d51df21b17af"
+uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
+version = "0.1.7"
+
+[[deps.JLLWrappers]]
+deps = ["Artifacts", "Preferences"]
+git-tree-sha1 = "7e5d6779a1e09a36db2a7b6cff50942a0a7d0fca"
+uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
+version = "1.5.0"
+
+[[deps.JSON]]
+deps = ["Dates", "Mmap", "Parsers", "Unicode"]
+git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
+uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
+version = "0.21.4"
+
+[[deps.JpegTurbo_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "3336abae9a713d2210bb57ab484b1e065edd7d23"
+uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
+version = "3.0.2+0"
+
+[[deps.KernelAbstractions]]
+deps = ["Adapt", "Atomix", "InteractiveUtils", "LinearAlgebra", "MacroTools", "PrecompileTools", "Requires", "SparseArrays", "StaticArrays", "UUIDs", "UnsafeAtomics", "UnsafeAtomicsLLVM"]
+git-tree-sha1 = "ed7167240f40e62d97c1f5f7735dea6de3cc5c49"
+uuid = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
+version = "0.9.18"
+
+    [deps.KernelAbstractions.extensions]
+    EnzymeExt = "EnzymeCore"
+
+    [deps.KernelAbstractions.weakdeps]
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+
+[[deps.KernelDensity]]
+deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
+git-tree-sha1 = "fee018a29b60733876eb557804b5b109dd3dd8a7"
+uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
+version = "0.6.8"
+
+[[deps.LAME_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
+uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
+version = "3.100.1+0"
+
+[[deps.LERC_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
+uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
+version = "3.0.0+1"
+
+[[deps.LLVM]]
+deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Preferences", "Printf", "Requires", "Unicode"]
+git-tree-sha1 = "ab01dde107f21aa76144d0771dccc08f152ccac7"
+uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
+version = "6.6.2"
+
+    [deps.LLVM.extensions]
+    BFloat16sExt = "BFloat16s"
+
+    [deps.LLVM.weakdeps]
+    BFloat16s = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
+
+[[deps.LLVMExtra_jll]]
+deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"]
+git-tree-sha1 = "88b916503aac4fb7f701bb625cd84ca5dd1677bc"
+uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
+version = "0.0.29+0"
+
+[[deps.LLVMOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "d986ce2d884d49126836ea94ed5bfb0f12679713"
+uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
+version = "15.0.7+0"
+
+[[deps.LRUCache]]
+git-tree-sha1 = "b3cc6698599b10e652832c2f23db3cab99d51b59"
+uuid = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
+version = "1.6.1"
+weakdeps = ["Serialization"]
+
+    [deps.LRUCache.extensions]
+    SerializationExt = ["Serialization"]
+
+[[deps.LZO_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
+uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
+version = "2.10.1+0"
+
+[[deps.LaTeXStrings]]
+git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
+uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
+version = "1.3.1"
+
+[[deps.Latexify]]
+deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
+git-tree-sha1 = "cad560042a7cc108f5a4c24ea1431a9221f22c1b"
+uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
+version = "0.16.2"
+
+    [deps.Latexify.extensions]
+    DataFramesExt = "DataFrames"
+    SymEngineExt = "SymEngine"
+
+    [deps.Latexify.weakdeps]
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"
+
+[[deps.LazyArtifacts]]
+deps = ["Artifacts", "Pkg"]
+uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
+
+[[deps.LeftChildRightSiblingTrees]]
+deps = ["AbstractTrees"]
+git-tree-sha1 = "fb6803dafae4a5d62ea5cab204b1e657d9737e7f"
+uuid = "1d6d02ad-be62-4b6b-8a6d-2f90e265016e"
+version = "0.2.0"
+
+[[deps.LibCURL]]
+deps = ["LibCURL_jll", "MozillaCACerts_jll"]
+uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
+version = "0.6.4"
+
+[[deps.LibCURL_jll]]
+deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
+uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
+version = "8.4.0+0"
+
+[[deps.LibGit2]]
+deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
+uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
+
+[[deps.LibGit2_jll]]
+deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
+uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
+version = "1.6.4+0"
+
+[[deps.LibSSH2_jll]]
+deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
+uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
+version = "1.11.0+1"
+
+[[deps.Libdl]]
+uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
+
+[[deps.Libffi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
+uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
+version = "3.2.2+1"
+
+[[deps.Libgcrypt_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
+git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
+uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
+version = "1.8.7+0"
+
+[[deps.Libglvnd_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
+git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733"
+uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
+version = "1.6.0+0"
+
+[[deps.Libgpg_error_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
+uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
+version = "1.42.0+0"
+
+[[deps.Libiconv_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "f9557a255370125b405568f9767d6d195822a175"
+uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
+version = "1.17.0+0"
+
+[[deps.Libmount_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "dae976433497a2f841baadea93d27e68f1a12a97"
+uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
+version = "2.39.3+0"
+
+[[deps.Libtask]]
+deps = ["FunctionWrappers", "LRUCache", "LinearAlgebra", "Statistics"]
+git-tree-sha1 = "ed1f362b3fd13f00b65e61d98669c652c17663ab"
+uuid = "6f1fad26-d15e-5dc8-ae53-837a1d7b8c9f"
+version = "0.8.7"
+
+[[deps.Libtiff_jll]]
+deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
+git-tree-sha1 = "2da088d113af58221c52828a80378e16be7d037a"
+uuid = "89763e89-9b03-5906-acba-b20f662cd828"
+version = "4.5.1+1"
+
+[[deps.Libuuid_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "0a04a1318df1bf510beb2562cf90fb0c386f58c4"
+uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
+version = "2.39.3+1"
+
+[[deps.LineSearches]]
+deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
+git-tree-sha1 = "7bbea35cec17305fc70a0e5b4641477dc0789d9d"
+uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
+version = "7.2.0"
+
+[[deps.LinearAlgebra]]
+deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
+uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+
+[[deps.LogDensityProblems]]
+deps = ["ArgCheck", "DocStringExtensions", "Random"]
+git-tree-sha1 = "f9a11237204bc137617194d79d813069838fcf61"
+uuid = "6fdf6af0-433a-55f7-b3ed-c6c6e0b8df7c"
+version = "2.1.1"
+
+[[deps.LogDensityProblemsAD]]
+deps = ["DocStringExtensions", "LogDensityProblems", "Requires", "SimpleUnPack"]
+git-tree-sha1 = "9c50732cd0f188766b6217ed6a2ebbdaf9890029"
+uuid = "996a588d-648d-4e1f-a8f0-a84b347e47b1"
+version = "1.7.0"
+
+    [deps.LogDensityProblemsAD.extensions]
+    LogDensityProblemsADADTypesExt = "ADTypes"
+    LogDensityProblemsADEnzymeExt = "Enzyme"
+    LogDensityProblemsADFiniteDifferencesExt = "FiniteDifferences"
+    LogDensityProblemsADForwardDiffBenchmarkToolsExt = ["BenchmarkTools", "ForwardDiff"]
+    LogDensityProblemsADForwardDiffExt = "ForwardDiff"
+    LogDensityProblemsADReverseDiffExt = "ReverseDiff"
+    LogDensityProblemsADTrackerExt = "Tracker"
+    LogDensityProblemsADZygoteExt = "Zygote"
+
+    [deps.LogDensityProblemsAD.weakdeps]
+    ADTypes = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
+    BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.LogExpFunctions]]
+deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "18144f3e9cbe9b15b070288eef858f71b291ce37"
+uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+version = "0.3.27"
+weakdeps = ["ChainRulesCore", "ChangesOfVariables", "InverseFunctions"]
+
+    [deps.LogExpFunctions.extensions]
+    LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
+    LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables"
+    LogExpFunctionsInverseFunctionsExt = "InverseFunctions"
+
+[[deps.Logging]]
+uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
+
+[[deps.LoggingExtras]]
+deps = ["Dates", "Logging"]
+git-tree-sha1 = "c1dd6d7978c12545b4179fb6153b9250c96b0075"
+uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
+version = "1.0.3"
+
+[[deps.MCMCChains]]
+deps = ["AbstractMCMC", "AxisArrays", "Dates", "Distributions", "IteratorInterfaceExtensions", "KernelDensity", "LinearAlgebra", "MCMCDiagnosticTools", "MLJModelInterface", "NaturalSort", "OrderedCollections", "PrettyTables", "Random", "RecipesBase", "Statistics", "StatsBase", "StatsFuns", "TableTraits", "Tables"]
+git-tree-sha1 = "d28056379864318172ff4b7958710cfddd709339"
+uuid = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
+version = "6.0.6"
+
+[[deps.MCMCDiagnosticTools]]
+deps = ["AbstractFFTs", "DataAPI", "DataStructures", "Distributions", "LinearAlgebra", "MLJModelInterface", "Random", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Tables"]
+git-tree-sha1 = "8ba8b1840d3ab5b38e7c71c23c3193bb5cbc02b5"
+uuid = "be115224-59cd-429b-ad48-344e309966f0"
+version = "0.3.10"
+
+[[deps.MKL_jll]]
+deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl"]
+git-tree-sha1 = "72dc3cf284559eb8f53aa593fe62cb33f83ed0c0"
+uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
+version = "2024.0.0+0"
+
+[[deps.MLJModelInterface]]
+deps = ["Random", "ScientificTypesBase", "StatisticalTraits"]
+git-tree-sha1 = "d2a45e1b5998ba3fdfb6cfe0c81096d4c7fb40e7"
+uuid = "e80e1ace-859a-464e-9ed9-23947d8ae3ea"
+version = "1.9.6"
+
+[[deps.MacroTools]]
+deps = ["Markdown", "Random"]
+git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
+uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
+version = "0.5.13"
+
+[[deps.MappedArrays]]
+git-tree-sha1 = "2dab0221fe2b0f2cb6754eaa743cc266339f527e"
+uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
+version = "0.4.2"
+
+[[deps.Markdown]]
+deps = ["Base64"]
+uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
+
+[[deps.MbedTLS]]
+deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
+git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf"
+uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
+version = "1.1.9"
+
+[[deps.MbedTLS_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
+version = "2.28.2+1"
+
+[[deps.Measures]]
+git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
+uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
+version = "0.3.2"
+
+[[deps.MicroCollections]]
+deps = ["BangBang", "InitialValues", "Setfield"]
+git-tree-sha1 = "629afd7d10dbc6935ec59b32daeb33bc4460a42e"
+uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
+version = "0.1.4"
+
+[[deps.Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.1.0"
+
+[[deps.Mmap]]
+uuid = "a63ad114-7e13-5084-954f-fe012c677804"
+
+[[deps.MozillaCACerts_jll]]
+uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
+version = "2023.1.10"
+
+[[deps.NLSolversBase]]
+deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
+git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c"
+uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
+version = "7.8.3"
+
+[[deps.NNlib]]
+deps = ["Adapt", "Atomix", "ChainRulesCore", "GPUArraysCore", "KernelAbstractions", "LinearAlgebra", "Pkg", "Random", "Requires", "Statistics"]
+git-tree-sha1 = "1fa1a14766c60e66ab22e242d45c1857c83a3805"
+uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
+version = "0.9.13"
+
+    [deps.NNlib.extensions]
+    NNlibAMDGPUExt = "AMDGPU"
+    NNlibCUDACUDNNExt = ["CUDA", "cuDNN"]
+    NNlibCUDAExt = "CUDA"
+    NNlibEnzymeCoreExt = "EnzymeCore"
+
+    [deps.NNlib.weakdeps]
+    AMDGPU = "21141c5a-9bdb-4563-92ae-f87d6854732e"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+    cuDNN = "02a925ec-e4fe-4b08-9a7e-0d78e3d38ccd"
+
+[[deps.NaNMath]]
+deps = ["OpenLibm_jll"]
+git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
+uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
+version = "1.0.2"
+
+[[deps.NamedArrays]]
+deps = ["Combinatorics", "DataStructures", "DelimitedFiles", "InvertedIndices", "LinearAlgebra", "Random", "Requires", "SparseArrays", "Statistics"]
+git-tree-sha1 = "0ae91efac93c3859f5c812a24c9468bb9e50b028"
+uuid = "86f7a689-2022-50b4-a561-43c23ac3c673"
+version = "0.10.1"
+
+[[deps.NaturalSort]]
+git-tree-sha1 = "eda490d06b9f7c00752ee81cfa451efe55521e21"
+uuid = "c020b1a1-e9b0-503a-9c33-f039bfc54a85"
+version = "1.0.0"
+
+[[deps.NetworkOptions]]
+uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
+version = "1.2.0"
+
+[[deps.OffsetArrays]]
+git-tree-sha1 = "6a731f2b5c03157418a20c12195eb4b74c8f8621"
+uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
+version = "1.13.0"
+weakdeps = ["Adapt"]
+
+    [deps.OffsetArrays.extensions]
+    OffsetArraysAdaptExt = "Adapt"
+
+[[deps.Ogg_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
+uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
+version = "1.3.5+1"
+
+[[deps.OpenBLAS_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
+uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
+version = "0.3.23+4"
+
+[[deps.OpenLibm_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
+version = "0.8.1+2"
+
+[[deps.OpenSSL]]
+deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
+git-tree-sha1 = "af81a32750ebc831ee28bdaaba6e1067decef51e"
+uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
+version = "1.4.2"
+
+[[deps.OpenSSL_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "3da7367955dcc5c54c1ba4d402ccdc09a1a3e046"
+uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
+version = "3.0.13+1"
+
+[[deps.OpenSpecFun_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
+uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
+version = "0.5.5+0"
+
+[[deps.Optim]]
+deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "d9b79c4eed437421ac4285148fcadf42e0700e89"
+uuid = "429524aa-4258-5aef-a3af-852621145aeb"
+version = "1.9.4"
+
+    [deps.Optim.extensions]
+    OptimMOIExt = "MathOptInterface"
+
+    [deps.Optim.weakdeps]
+    MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+
+[[deps.Optimisers]]
+deps = ["ChainRulesCore", "Functors", "LinearAlgebra", "Random", "Statistics"]
+git-tree-sha1 = "264b061c1903bc0fe9be77cb9050ebacff66bb63"
+uuid = "3bd65402-5787-11e9-1adc-39752487f4e2"
+version = "0.3.2"
+
+[[deps.Opus_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
+uuid = "91d4177d-7536-5919-b921-800302f37372"
+version = "1.3.2+0"
+
+[[deps.OrderedCollections]]
+git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.6.3"
+
+[[deps.PCRE2_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
+version = "10.42.0+1"
+
+[[deps.PDMats]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
+uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
+version = "0.11.31"
+
+[[deps.Parameters]]
+deps = ["OrderedCollections", "UnPack"]
+git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe"
+uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
+version = "0.12.3"
+
+[[deps.ParserCombinator]]
+deps = ["AutoHashEquals", "Printf"]
+git-tree-sha1 = "5f2ab6899c7a056d475194d03393299e61a0425c"
+uuid = "fae87a5f-d1ad-5cf0-8f61-c941e1580b46"
+version = "2.2.1"
+
+[[deps.Parsers]]
+deps = ["Dates", "PrecompileTools", "UUIDs"]
+git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821"
+uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
+version = "2.8.1"
+
+[[deps.Phylo]]
+deps = ["AxisArrays", "DataFrames", "DataStructures", "Distances", "Distributions", "DynamicPPL", "ForwardDiff", "Graphs", "IterableTables", "LinearAlgebra", "Missings", "Optim", "ParserCombinator", "Printf", "Random", "RecipesBase", "SimpleTraits", "StaticArrays", "Statistics", "Tokenize", "Unitful"]
+path = ".."
+uuid = "aea672f4-3940-5932-aa44-993d1c3ff149"
+version = "0.6.0"
+
+    [deps.Phylo.extensions]
+    PhyloRCallExt = "RCall"
+
+    [deps.Phylo.weakdeps]
+    Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
+    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
+    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+
+[[deps.Pipe]]
+git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
+uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
+version = "1.3.0"
+
+[[deps.Pixman_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
+git-tree-sha1 = "64779bc4c9784fee475689a1752ef4d5747c5e87"
+uuid = "30392449-352a-5448-841d-b1acce4e97dc"
+version = "0.42.2+0"
+
+[[deps.Pkg]]
+deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
+version = "1.10.0"
+
+[[deps.PlotThemes]]
+deps = ["PlotUtils", "Statistics"]
+git-tree-sha1 = "1f03a2d339f42dca4a4da149c7e15e9b896ad899"
+uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
+version = "3.1.0"
+
+[[deps.PlotUtils]]
+deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
+git-tree-sha1 = "7b1a9df27f072ac4c9c7cbe5efb198489258d1f5"
+uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
+version = "1.4.1"
+
+[[deps.Plots]]
+deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
+git-tree-sha1 = "3bdfa4fa528ef21287ef659a89d686e8a1bcb1a9"
+uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
+version = "1.40.3"
+
+    [deps.Plots.extensions]
+    FileIOExt = "FileIO"
+    GeometryBasicsExt = "GeometryBasics"
+    IJuliaExt = "IJulia"
+    ImageInTerminalExt = "ImageInTerminal"
+    UnitfulExt = "Unitful"
+
+    [deps.Plots.weakdeps]
+    FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
+    GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
+    IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
+    ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
+
+[[deps.PooledArrays]]
+deps = ["DataAPI", "Future"]
+git-tree-sha1 = "36d8b4b899628fb92c2749eb488d884a926614d3"
+uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720"
+version = "1.4.3"
+
+[[deps.PositiveFactorizations]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20"
+uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
+version = "0.2.4"
+
+[[deps.PrecompileTools]]
+deps = ["Preferences"]
+git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f"
+uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
+version = "1.2.1"
+
+[[deps.Preferences]]
+deps = ["TOML"]
+git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
+uuid = "21216c6a-2e73-6563-6e65-726566657250"
+version = "1.4.3"
+
+[[deps.PrettyTables]]
+deps = ["Crayons", "LaTeXStrings", "Markdown", "PrecompileTools", "Printf", "Reexport", "StringManipulation", "Tables"]
+git-tree-sha1 = "88b895d13d53b5577fd53379d913b9ab9ac82660"
+uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
+version = "2.3.1"
+
+[[deps.Printf]]
+deps = ["Unicode"]
+uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
+
+[[deps.Profile]]
+deps = ["Printf"]
+uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
+
+[[deps.ProgressLogging]]
+deps = ["Logging", "SHA", "UUIDs"]
+git-tree-sha1 = "80d919dee55b9c50e8d9e2da5eeafff3fe58b539"
+uuid = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
+version = "0.1.4"
+
+[[deps.ProgressMeter]]
+deps = ["Distributed", "Printf"]
+git-tree-sha1 = "763a8ceb07833dd51bb9e3bbca372de32c0605ad"
+uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
+version = "1.10.0"
+
+[[deps.Qt6Base_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Vulkan_Loader_jll", "Xorg_libSM_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_cursor_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "libinput_jll", "xkbcommon_jll"]
+git-tree-sha1 = "37b7bb7aabf9a085e0044307e1717436117f2b3b"
+uuid = "c0090381-4147-56d7-9ebc-da0b1113ec56"
+version = "6.5.3+1"
+
+[[deps.QuadGK]]
+deps = ["DataStructures", "LinearAlgebra"]
+git-tree-sha1 = "9b23c31e76e333e6fb4c1595ae6afa74966a729e"
+uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
+version = "2.9.4"
+
+[[deps.REPL]]
+deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
+uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
+
+[[deps.Random]]
+deps = ["SHA"]
+uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+
+[[deps.Random123]]
+deps = ["Random", "RandomNumbers"]
+git-tree-sha1 = "4743b43e5a9c4a2ede372de7061eed81795b12e7"
+uuid = "74087812-796a-5b5d-8853-05524746bad3"
+version = "1.7.0"
+
+[[deps.RandomNumbers]]
+deps = ["Random", "Requires"]
+git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
+uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
+version = "1.5.3"
+
+[[deps.RangeArrays]]
+git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
+uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d"
+version = "0.3.2"
+
+[[deps.Ratios]]
+deps = ["Requires"]
+git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b"
+uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
+version = "0.4.5"
+weakdeps = ["FixedPointNumbers"]
+
+    [deps.Ratios.extensions]
+    RatiosFixedPointNumbersExt = "FixedPointNumbers"
+
+[[deps.RealDot]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
+uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
+version = "0.1.0"
+
+[[deps.RecipesBase]]
+deps = ["PrecompileTools"]
+git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
+uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+version = "1.3.4"
+
+[[deps.RecipesPipeline]]
+deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
+git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
+uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
+version = "0.6.12"
+
+[[deps.RecursiveArrayTools]]
+deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "SparseArrays", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "d8f131090f2e44b145084928856a561c83f43b27"
+uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
+version = "3.13.0"
+
+    [deps.RecursiveArrayTools.extensions]
+    RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
+    RecursiveArrayToolsForwardDiffExt = "ForwardDiff"
+    RecursiveArrayToolsMeasurementsExt = "Measurements"
+    RecursiveArrayToolsMonteCarloMeasurementsExt = "MonteCarloMeasurements"
+    RecursiveArrayToolsReverseDiffExt = ["ReverseDiff", "Zygote"]
+    RecursiveArrayToolsTrackerExt = "Tracker"
+    RecursiveArrayToolsZygoteExt = "Zygote"
+
+    [deps.RecursiveArrayTools.weakdeps]
+    FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.Reexport]]
+git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.2.2"
+
+[[deps.RelocatableFolders]]
+deps = ["SHA", "Scratch"]
+git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864"
+uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
+version = "1.0.1"
+
+[[deps.Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.3.0"
+
+[[deps.Rmath]]
+deps = ["Random", "Rmath_jll"]
+git-tree-sha1 = "f65dcb5fa46aee0cf9ed6274ccbd597adc49aa7b"
+uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
+version = "0.7.1"
+
+[[deps.Rmath_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da"
+uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
+version = "0.4.0+0"
+
+[[deps.Roots]]
+deps = ["Accessors", "ChainRulesCore", "CommonSolve", "Printf"]
+git-tree-sha1 = "1ab580704784260ee5f45bffac810b152922747b"
+uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
+version = "2.1.5"
+
+    [deps.Roots.extensions]
+    RootsForwardDiffExt = "ForwardDiff"
+    RootsIntervalRootFindingExt = "IntervalRootFinding"
+    RootsSymPyExt = "SymPy"
+    RootsSymPyPythonCallExt = "SymPyPythonCall"
+
+    [deps.Roots.weakdeps]
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    IntervalRootFinding = "d2bf35a9-74e0-55ec-b149-d360ff49b807"
+    SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"
+    SymPyPythonCall = "bc8888f7-b21e-4b7c-a06a-5d9c9496438c"
+
+[[deps.RuntimeGeneratedFunctions]]
+deps = ["ExprTools", "SHA", "Serialization"]
+git-tree-sha1 = "6aacc5eefe8415f47b3e34214c1d79d2674a0ba2"
+uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
+version = "0.5.12"
+
+[[deps.SHA]]
+uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
+version = "0.7.0"
+
+[[deps.SciMLBase]]
+deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "d15c65e25615272e1b1c5edb1d307484c7942824"
+uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
+version = "2.31.0"
+
+    [deps.SciMLBase.extensions]
+    SciMLBaseChainRulesCoreExt = "ChainRulesCore"
+    SciMLBaseMakieExt = "Makie"
+    SciMLBasePartialFunctionsExt = "PartialFunctions"
+    SciMLBasePyCallExt = "PyCall"
+    SciMLBasePythonCallExt = "PythonCall"
+    SciMLBaseRCallExt = "RCall"
+    SciMLBaseZygoteExt = "Zygote"
+
+    [deps.SciMLBase.weakdeps]
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
+    PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b"
+    PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
+    PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
+    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.SciMLOperators]]
+deps = ["ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools", "Setfield", "SparseArrays", "StaticArraysCore"]
+git-tree-sha1 = "10499f619ef6e890f3f4a38914481cc868689cd5"
+uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
+version = "0.3.8"
+
+[[deps.SciMLStructures]]
+git-tree-sha1 = "5833c10ce83d690c124beedfe5f621b50b02ba4d"
+uuid = "53ae85a6-f571-4167-b2af-e1d143709226"
+version = "1.1.0"
+
+[[deps.ScientificTypesBase]]
+git-tree-sha1 = "a8e18eb383b5ecf1b5e6fc237eb39255044fd92b"
+uuid = "30f210dd-8aff-4c5f-94ba-8e64358c1161"
+version = "3.0.0"
+
+[[deps.Scratch]]
+deps = ["Dates"]
+git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386"
+uuid = "6c6a2e73-6563-6170-7368-637461726353"
+version = "1.2.1"
+
+[[deps.SentinelArrays]]
+deps = ["Dates", "Random"]
+git-tree-sha1 = "0e7508ff27ba32f26cd459474ca2ede1bc10991f"
+uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
+version = "1.4.1"
+
+[[deps.Serialization]]
+uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
+
+[[deps.Setfield]]
+deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
+git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
+uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
+version = "1.1.1"
+
+[[deps.SharedArrays]]
+deps = ["Distributed", "Mmap", "Random", "Serialization"]
+uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
+
+[[deps.Showoff]]
+deps = ["Dates", "Grisu"]
+git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
+uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
+version = "1.0.3"
+
+[[deps.SimpleBufferStream]]
+git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1"
+uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
+version = "1.1.0"
+
+[[deps.SimpleTraits]]
+deps = ["InteractiveUtils", "MacroTools"]
+git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
+uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
+version = "0.9.4"
+
+[[deps.SimpleUnPack]]
+git-tree-sha1 = "58e6353e72cde29b90a69527e56df1b5c3d8c437"
+uuid = "ce78b400-467f-4804-87d8-8f486da07d0a"
+version = "1.1.0"
+
+[[deps.Sockets]]
+uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
+
+[[deps.SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.2.1"
+
+[[deps.SparseArrays]]
+deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
+uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+version = "1.10.0"
+
+[[deps.SparseInverseSubset]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "52962839426b75b3021296f7df242e40ecfc0852"
+uuid = "dc90abb0-5640-4711-901d-7e5b23a2fada"
+version = "0.1.2"
+
+[[deps.SpecialFunctions]]
+deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
+git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d"
+uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
+version = "2.3.1"
+weakdeps = ["ChainRulesCore"]
+
+    [deps.SpecialFunctions.extensions]
+    SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
+
+[[deps.SplittablesBase]]
+deps = ["Setfield", "Test"]
+git-tree-sha1 = "e08a62abc517eb79667d0a29dc08a3b589516bb5"
+uuid = "171d559e-b47b-412a-8079-5efa626c420e"
+version = "0.1.15"
+
+[[deps.StaticArrays]]
+deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
+git-tree-sha1 = "bf074c045d3d5ffd956fa0a461da38a44685d6b2"
+uuid = "90137ffa-7385-5640-81b9-e52037218182"
+version = "1.9.3"
+weakdeps = ["ChainRulesCore", "Statistics"]
+
+    [deps.StaticArrays.extensions]
+    StaticArraysChainRulesCoreExt = "ChainRulesCore"
+    StaticArraysStatisticsExt = "Statistics"
+
+[[deps.StaticArraysCore]]
+git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d"
+uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+version = "1.4.2"
+
+[[deps.StatisticalTraits]]
+deps = ["ScientificTypesBase"]
+git-tree-sha1 = "30b9236691858e13f167ce829490a68e1a597782"
+uuid = "64bff920-2084-43da-a3e6-9bb72801c0c9"
+version = "3.2.0"
+
+[[deps.Statistics]]
+deps = ["LinearAlgebra", "SparseArrays"]
+uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+version = "1.10.0"
+
+[[deps.StatsAPI]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
+uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
+version = "1.7.0"
+
+[[deps.StatsBase]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "1d77abd07f617c4868c33d4f5b9e1dbb2643c9cf"
+uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+version = "0.34.2"
+
+[[deps.StatsFuns]]
+deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
+git-tree-sha1 = "cef0472124fab0695b58ca35a77c6fb942fdab8a"
+uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
+version = "1.3.1"
+weakdeps = ["ChainRulesCore", "InverseFunctions"]
+
+    [deps.StatsFuns.extensions]
+    StatsFunsChainRulesCoreExt = "ChainRulesCore"
+    StatsFunsInverseFunctionsExt = "InverseFunctions"
+
+[[deps.StringManipulation]]
+deps = ["PrecompileTools"]
+git-tree-sha1 = "a04cabe79c5f01f4d723cc6704070ada0b9d46d5"
+uuid = "892a3eda-7b42-436c-8928-eab12a02cf0e"
+version = "0.3.4"
+
+[[deps.StructArrays]]
+deps = ["ConstructionBase", "DataAPI", "Tables"]
+git-tree-sha1 = "f4dc295e983502292c4c3f951dbb4e985e35b3be"
+uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+version = "0.6.18"
+weakdeps = ["Adapt", "GPUArraysCore", "SparseArrays", "StaticArrays"]
+
+    [deps.StructArrays.extensions]
+    StructArraysAdaptExt = "Adapt"
+    StructArraysGPUArraysCoreExt = "GPUArraysCore"
+    StructArraysSparseArraysExt = "SparseArrays"
+    StructArraysStaticArraysExt = "StaticArrays"
+
+[[deps.SuiteSparse]]
+deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
+uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
+
+[[deps.SuiteSparse_jll]]
+deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
+uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
+version = "7.2.1+1"
+
+[[deps.SymbolicIndexingInterface]]
+deps = ["Accessors", "ArrayInterface", "MacroTools", "RuntimeGeneratedFunctions", "StaticArraysCore"]
+git-tree-sha1 = "4b7f4c80449d8baae8857d55535033981862619c"
+uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
+version = "0.3.15"
+
+[[deps.TOML]]
+deps = ["Dates"]
+uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
+version = "1.0.3"
+
+[[deps.TableTraits]]
+deps = ["IteratorInterfaceExtensions"]
+git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
+uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
+version = "1.0.1"
+
+[[deps.TableTraitsUtils]]
+deps = ["DataValues", "IteratorInterfaceExtensions", "Missings", "TableTraits"]
+git-tree-sha1 = "78fecfe140d7abb480b53a44f3f85b6aa373c293"
+uuid = "382cd787-c1b6-5bf2-a167-d5b971a19bda"
+version = "1.0.2"
+
+[[deps.Tables]]
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits"]
+git-tree-sha1 = "cb76cf677714c095e535e3501ac7954732aeea2d"
+uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
+version = "1.11.1"
+
+[[deps.Tar]]
+deps = ["ArgTools", "SHA"]
+uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
+version = "1.10.0"
+
+[[deps.TensorCore]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
+uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
+version = "0.1.1"
+
+[[deps.TerminalLoggers]]
+deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
+git-tree-sha1 = "f133fab380933d042f6796eda4e130272ba520ca"
+uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
+version = "0.1.7"
+
+[[deps.Test]]
+deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
+uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+
+[[deps.Tokenize]]
+git-tree-sha1 = "5b5a892ba7704c0977013bd0f9c30f5d962181e0"
+uuid = "0796e94c-ce3b-5d07-9a54-7f471281c624"
+version = "0.5.28"
+
+[[deps.Tracker]]
+deps = ["Adapt", "DiffRules", "ForwardDiff", "Functors", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NNlib", "NaNMath", "Optimisers", "Printf", "Random", "Requires", "SpecialFunctions", "Statistics"]
+git-tree-sha1 = "685387ff526b7f4bafc5fe093949315d2680ce25"
+uuid = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+version = "0.2.33"
+weakdeps = ["PDMats"]
+
+    [deps.Tracker.extensions]
+    TrackerPDMatsExt = "PDMats"
+
+[[deps.TranscodingStreams]]
+git-tree-sha1 = "71509f04d045ec714c4748c785a59045c3736349"
+uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
+version = "0.10.7"
+weakdeps = ["Random", "Test"]
+
+    [deps.TranscodingStreams.extensions]
+    TestExt = ["Test", "Random"]
+
+[[deps.Transducers]]
+deps = ["Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "ConstructionBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "Setfield", "SplittablesBase", "Tables"]
+git-tree-sha1 = "3064e780dbb8a9296ebb3af8f440f787bb5332af"
+uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
+version = "0.4.80"
+
+    [deps.Transducers.extensions]
+    TransducersBlockArraysExt = "BlockArrays"
+    TransducersDataFramesExt = "DataFrames"
+    TransducersLazyArraysExt = "LazyArrays"
+    TransducersOnlineStatsBaseExt = "OnlineStatsBase"
+    TransducersReferenceablesExt = "Referenceables"
+
+    [deps.Transducers.weakdeps]
+    BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    OnlineStatsBase = "925886fa-5bf2-5e8e-b522-a9147a512338"
+    Referenceables = "42d2dcc6-99eb-4e98-b66c-637b7d73030e"
+
+[[deps.Turing]]
+deps = ["ADTypes", "AbstractMCMC", "AdvancedHMC", "AdvancedMH", "AdvancedPS", "AdvancedVI", "BangBang", "Bijectors", "DataStructures", "Distributions", "DistributionsAD", "DocStringExtensions", "DynamicPPL", "EllipticalSliceSampling", "ForwardDiff", "Libtask", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "MCMCChains", "NamedArrays", "Printf", "Random", "Reexport", "Requires", "SciMLBase", "Setfield", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "0e61d150c55162770c9dd904aa24a271921689e7"
+uuid = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"
+version = "0.30.7"
+
+    [deps.Turing.extensions]
+    TuringDynamicHMCExt = "DynamicHMC"
+    TuringOptimExt = "Optim"
+
+    [deps.Turing.weakdeps]
+    DynamicHMC = "bbc10e6e-7c05-544b-b16e-64fede858acb"
+    Optim = "429524aa-4258-5aef-a3af-852621145aeb"
+
+[[deps.URIs]]
+git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
+uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
+version = "1.5.1"
+
+[[deps.UUIDs]]
+deps = ["Random", "SHA"]
+uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
+
+[[deps.UnPack]]
+git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
+uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
+version = "1.0.2"
+
+[[deps.Unicode]]
+uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
+
+[[deps.UnicodeFun]]
+deps = ["REPL"]
+git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
+uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
+version = "0.4.1"
+
+[[deps.Unitful]]
+deps = ["Dates", "LinearAlgebra", "Random"]
+git-tree-sha1 = "3c793be6df9dd77a0cf49d80984ef9ff996948fa"
+uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
+version = "1.19.0"
+weakdeps = ["ConstructionBase", "InverseFunctions"]
+
+    [deps.Unitful.extensions]
+    ConstructionBaseUnitfulExt = "ConstructionBase"
+    InverseFunctionsUnitfulExt = "InverseFunctions"
+
+[[deps.UnitfulLatexify]]
+deps = ["LaTeXStrings", "Latexify", "Unitful"]
+git-tree-sha1 = "e2d817cc500e960fdbafcf988ac8436ba3208bfd"
+uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
+version = "1.6.3"
+
+[[deps.UnsafeAtomics]]
+git-tree-sha1 = "6331ac3440856ea1988316b46045303bef658278"
+uuid = "013be700-e6cd-48c3-b4a1-df204f14c38f"
+version = "0.2.1"
+
+[[deps.UnsafeAtomicsLLVM]]
+deps = ["LLVM", "UnsafeAtomics"]
+git-tree-sha1 = "323e3d0acf5e78a56dfae7bd8928c989b4f3083e"
+uuid = "d80eeb9a-aca5-4d75-85e5-170c8b632249"
+version = "0.1.3"
+
+[[deps.Unzip]]
+git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
+uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
+version = "0.2.0"
+
+[[deps.Vulkan_Loader_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Wayland_jll", "Xorg_libX11_jll", "Xorg_libXrandr_jll", "xkbcommon_jll"]
+git-tree-sha1 = "2f0486047a07670caad3a81a075d2e518acc5c59"
+uuid = "a44049a8-05dd-5a78-86c9-5fde0876e88c"
+version = "1.3.243+0"
+
+[[deps.Wayland_jll]]
+deps = ["Artifacts", "EpollShim_jll", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
+git-tree-sha1 = "7558e29847e99bc3f04d6569e82d0f5c54460703"
+uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
+version = "1.21.0+1"
+
+[[deps.Wayland_protocols_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "93f43ab61b16ddfb2fd3bb13b3ce241cafb0e6c9"
+uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
+version = "1.31.0+0"
+
+[[deps.WoodburyMatrices]]
+deps = ["LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "c1a7aa6219628fcd757dede0ca95e245c5cd9511"
+uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
+version = "1.0.0"
+
+[[deps.XML2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
+git-tree-sha1 = "532e22cf7be8462035d092ff21fada7527e2c488"
+uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
+version = "2.12.6+0"
+
+[[deps.XSLT_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
+git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
+uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
+version = "1.1.34+0"
+
+[[deps.XZ_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "ac88fb95ae6447c8dda6a5503f3bafd496ae8632"
+uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
+version = "5.4.6+0"
+
+[[deps.Xorg_libICE_jll]]
+deps = ["Libdl", "Pkg"]
+git-tree-sha1 = "e5becd4411063bdcac16be8b66fc2f9f6f1e8fe5"
+uuid = "f67eecfb-183a-506d-b269-f58e52b52d7c"
+version = "1.0.10+1"
+
+[[deps.Xorg_libSM_jll]]
+deps = ["Libdl", "Pkg", "Xorg_libICE_jll"]
+git-tree-sha1 = "4a9d9e4c180e1e8119b5ffc224a7b59d3a7f7e18"
+uuid = "c834827a-8449-5923-a945-d239c165b7dd"
+version = "1.2.3+0"
+
+[[deps.Xorg_libX11_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
+git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
+uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
+version = "1.8.6+0"
+
+[[deps.Xorg_libXau_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
+uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
+version = "1.0.11+0"
+
+[[deps.Xorg_libXcursor_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
+uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
+version = "1.2.0+4"
+
+[[deps.Xorg_libXdmcp_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
+uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
+version = "1.1.4+0"
+
+[[deps.Xorg_libXext_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
+git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
+uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
+version = "1.3.4+4"
+
+[[deps.Xorg_libXfixes_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
+git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
+uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
+version = "5.0.3+4"
+
+[[deps.Xorg_libXi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
+git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
+uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
+version = "1.7.10+4"
+
+[[deps.Xorg_libXinerama_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
+git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
+uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
+version = "1.1.4+4"
+
+[[deps.Xorg_libXrandr_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
+uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
+version = "1.5.2+4"
+
+[[deps.Xorg_libXrender_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
+git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
+uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
+version = "0.9.10+4"
+
+[[deps.Xorg_libpthread_stubs_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
+uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
+version = "0.1.1+0"
+
+[[deps.Xorg_libxcb_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
+git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d"
+uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
+version = "1.15.0+0"
+
+[[deps.Xorg_libxkbfile_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
+uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
+version = "1.1.2+0"
+
+[[deps.Xorg_xcb_util_cursor_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
+git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd"
+uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43"
+version = "0.1.4+0"
+
+[[deps.Xorg_xcb_util_image_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
+uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
+git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
+uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_keysyms_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
+uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_renderutil_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
+uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
+version = "0.3.9+1"
+
+[[deps.Xorg_xcb_util_wm_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
+uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
+version = "0.4.1+1"
+
+[[deps.Xorg_xkbcomp_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
+git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
+uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
+version = "1.4.6+0"
+
+[[deps.Xorg_xkeyboard_config_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
+git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
+uuid = "33bec58e-1273-512f-9401-5d533626f822"
+version = "2.39.0+0"
+
+[[deps.Xorg_xtrans_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
+uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
+version = "1.5.0+0"
+
+[[deps.Zlib_jll]]
+deps = ["Libdl"]
+uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
+version = "1.2.13+1"
+
+[[deps.Zstd_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "e678132f07ddb5bfa46857f0d7620fb9be675d3b"
+uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
+version = "1.5.6+0"
+
+[[deps.ZygoteRules]]
+deps = ["ChainRulesCore", "MacroTools"]
+git-tree-sha1 = "27798139afc0a2afa7b1824c206d5e87ea587a00"
+uuid = "700de1a5-db45-46bc-99cf-38207098b444"
+version = "0.2.5"
+
+[[deps.eudev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
+git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba"
+uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06"
+version = "3.2.9+0"
+
+[[deps.fzf_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "a68c9655fbe6dfcab3d972808f1aafec151ce3f8"
+uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
+version = "0.43.0+0"
+
+[[deps.gperf_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033"
+uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70"
+version = "3.1.1+0"
+
+[[deps.libaom_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4"
+uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
+version = "3.4.0+0"
+
+[[deps.libass_jll]]
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
+git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
+uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
+version = "0.15.1+0"
+
+[[deps.libblastrampoline_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
+version = "5.8.0+1"
+
+[[deps.libevdev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22"
+uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc"
+version = "1.11.0+0"
+
+[[deps.libfdk_aac_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
+uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
+version = "2.0.2+0"
+
+[[deps.libinput_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"]
+git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce"
+uuid = "36db933b-70db-51c0-b978-0f229ee0e533"
+version = "1.18.0+0"
+
+[[deps.libpng_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "d7015d2e18a5fd9a4f47de711837e980519781a4"
+uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
+version = "1.6.43+1"
+
+[[deps.libvorbis_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
+git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
+uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
+version = "1.3.7+1"
+
+[[deps.mtdev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11"
+uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e"
+version = "1.1.6+0"
+
+[[deps.nghttp2_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
+version = "1.52.0+1"
+
+[[deps.p7zip_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
+version = "17.4.0+2"
+
+[[deps.x264_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
+uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
+version = "2021.5.5+0"
+
+[[deps.x265_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
+uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
+version = "3.5.0+0"
+
+[[deps.xkbcommon_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
+git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37"
+uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
+version = "1.4.1+1"
diff --git a/Bayes/Project.toml b/Bayes/Project.toml
new file mode 100644
index 00000000..91ac9cc4
--- /dev/null
+++ b/Bayes/Project.toml
@@ -0,0 +1,9 @@
+[deps]
+BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+Phylo = "aea672f4-3940-5932-aa44-993d1c3ff149"
+Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
+Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+Turing = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"
diff --git a/Bayes/testinf.jl b/Bayes/testinf.jl
new file mode 100644
index 00000000..040213d2
--- /dev/null
+++ b/Bayes/testinf.jl
@@ -0,0 +1,292 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+using Turing
+using Phylo
+using Distributions
+using Random
+using BenchmarkTools
+using DataFrames
+using LinearAlgebra
+using Plots
+
+# set seed
+Random.seed!(678)
+
+# generate a random tree
+# number of tips on the tree
+n_tips = 100
+
+# generate tree
+nu = Ultrametric{TraitTree{1}}(n_tips);
+tree = rand(nu);
+distances(tree)
+
+# get phylogentic variance matrix - needed for method using built in Julia functions
+C = fill(1.0, (n_tips, n_tips)) - distances(tree) ./ 2
+C = abs.(Symmetric(C))
+
+# generate traits, store in vector z
+a = BrownianTrait(tree, "BMtrait", σ² = 1.0);
+bm_traits = rand(a)
+
+leafnames = getleafnames(tree);
+z = Vector{Float64}();
+
+for leaf in leafnames
+    push!(z, bm_traits[leaf])
+end
+
+# using built in Julia functions
+@model function phyloinf(z, C)
+    beta ~ Uniform(-100, 100)
+    sigma ~ Uniform(0, 100)
+
+    return z ~ MvNormal(beta * ones(length(z)), sigma * C)
+end
+
+c = sample(phyloinf(z, C), HMC(0.1, 5), 100000)
+
+plot(c[:beta])
+plot(c[:sigma])
+
+# Use threepoint:
+# pop trait data on tree
+nodes = getnodes(tree, postorder)
+rdat = DataFrame(species = leafnames, data = z)
+for i in eachrow(rdat)
+    setnodedata!(tree, i.species, Phylo.traitdata(["trait"], [i.data]))
+end
+
+# trait needs to be a vector of trait names, used for functions later
+trait = ["trait"]
+
+# add lengths to tree
+for node in nodes
+    val = getnodedata(tree, node).value
+    if hasinbound(tree, node)
+        len = Phylo.getlength(tree, Phylo.getinbound(tree, node))
+        td = traitdata(trait, val, len)
+        setnodedata!(tree, node, td)
+    else
+        td = traitdata(trait, val)
+        setnodedata!(tree, node, td)
+    end
+end
+
+# Need to create own distribution to use threepoint to calculate likelihood
+# needs to be a mutable struct as threepoint changes tree
+struct MyDist2{T <: AbstractTree, N <: Number} <:
+       ContinuousMultivariateDistribution
+    sigma::N
+    beta::N
+    tree::T
+end
+
+# rand creates a vector of tip trait values dependent on the tree, sigma (rate of evolution) and beta (root trait value)
+function Distributions.rand(rng::AbstractRNG, d::MyDist2)
+    a = BrownianTrait(d.tree, "BMtrait", σ² = d.sigma)
+    bm_traits = rand(a)
+
+    leafnames = getleafnames(d.tree, postorder)
+    z = Vector{Float64}()
+
+    for leaf in leafnames
+        push!(z, bm_traits[leaf])
+    end
+    return z
+end
+
+# define loglikelihood function, n is number of leaves, nd is node data from the root node, sigma is the rate of evolution, beta is the trait data for the root node
+function loglik(n, nd, sigma, beta)
+    return -(1.0 / 2.0) * (n * log(2π) + nd.logV + n * log(abs(sigma)) +
+            abs(sigma)^(-1) * (nd.yy[] - 2 * nd.Q[] * beta + nd.xx * beta^2))
+end
+
+# define logpdf for my dist
+function Distributions.logpdf(d::MyDist2, z::Vector{Float64})
+    # add errors for if tree doesnt have right data
+
+    n = nleaves(d.tree)
+    nodes = getnodes(d.tree, postorder)
+    trait = getnodedata(d.tree, nodes[1]).name
+
+    threepoint!(d.tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    return loglik(n, nd, d.sigma, d.beta)
+end
+
+@model function phyloinftree(tree, z) # z needs to be for leaves in postorder
+    beta ~ Uniform(-100, 100)
+    sigma ~ Uniform(0, 100)
+
+    return z ~ MyDist2(sigma, beta, tree) # tree.z ~ (impliment later)
+end
+
+c2 = sample(phyloinftree(tree, z), HMC(0.01, 5), 100000)
+plot(c2[:beta])
+plot(c2[:sigma])
+
+# define loglikelihood function, used in Bayes methods
+function loglik(n, nd, sigma, beta)
+    return -(1.0 / 2.0) * (n * log(2π) + nd.logV + n * log(abs(sigma)) +
+            abs(sigma)^(-1) * (nd.yy[] - 2 * nd.Q[] * beta + nd.xx * beta^2))
+end
+
+# Need to create own distribution to use threepoint to calculate likelihood
+# needs to be a mutable struct as threepoint changes tree
+# also needs renamed
+struct MyDist3{T <: AbstractTree, N <: Number} <:
+       ContinuousMultivariateDistribution
+    sigma::N
+    beta::N
+    lambda::N
+    tree::T
+end
+
+# rand creates a vector of tip trait values dependent on the tree, sigma (rate of evolution) and beta (root trait value)
+function Distributions.rand(rng::AbstractRNG, d::MyDist3) # incorrect but can fix later
+    a = BrownianTrait(d.tree, "BMtrait", σ² = d.sigma)
+    bm_traits = rand(a)
+
+    leafnames = getleafnames(d.tree, postorder)
+    z = Vector{Float64}()
+
+    for leaf in leafnames
+        push!(z, bm_traits[leaf])
+    end
+    return z
+end
+
+# define logpdf for my dist
+function Distributions.logpdf(d::MyDist3, z::Vector{Float64})
+    # add errors for if tree doesnt have right data
+
+    n = nleaves(d.tree)
+    nodes = getnodes(d.tree, postorder)
+    trait = getnodedata(d.tree, nodes[1]).name
+
+    # add lengths to tree - must be a better way
+    for node in nodes
+        val = getnodedata(tree, node).value
+        if hasinbound(tree, node)
+            len = Phylo.getlength(tree, Phylo.getinbound(tree, node))
+            td = traitdata(trait, val, len)
+            setnodedata!(tree, node, td)
+        else
+            td = traitdata(trait, val)
+            setnodedata!(tree, node, td)
+        end
+    end
+
+    # multiply internal branches by lambda
+    t = [getnodedata(d.tree, node).t for node in nodes]
+
+    for (i, node) in enumerate(nodes)
+        if !isleaf(d.tree, node)
+            tupdate = d.lambda * t[i]
+            getnodedata(d.tree, node).t = tupdate
+        end
+    end
+
+    threepoint!(d.tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(d.tree, nN)
+
+    return loglik(n, nd, d.sigma, d.beta)
+end
+
+@model function phyloinftreelambda(tree, z) # z needs to be for leaves in postorder
+    intnodeheights = nodeheights(tree, noleaves = true)
+    longnodeheight = maximum(intnodeheights)
+
+    leafnodeheights = nodeheights(tree, onlyleaves = true)
+    shortleafheight = minimum(leafnodeheights)
+
+    upper = shortleafheight / longnodeheight
+
+    lambda ~ Uniform(0, upper)
+    beta ~ Uniform(-100, 100)
+    sigma ~ Uniform(0, 100)
+
+    return z ~ MyDist3(sigma, beta, lambda, tree) # tree.z ~ (impliment later)
+end
+
+c3 = sample(phyloinftreelambda(tree, z), HMC(0.01, 5), 10000) # add initial_params 
+
+loglikelihood(phyloinftreelambda(tree, z), c3)
+loglikelihood(phyloinftreelambda(tree, z),
+              (lambda = 1.0, beta = 0.0, sigma = 1.0))
+# is the problem when I set lambda to 0?
+
+n = nleaves(tree)
+nodes = getnodes(tree, postorder)
+trait = getnodedata(tree, nodes[1]).name
+
+threepoint!(tree, trait, nodes)
+
+nN = last(nodes)
+nd = getnodedata(tree, nN)
+
+ndat = getnodedata(tree, nodes[5])
+ndat.t
+
+loglik(n, nd, 1.0, 0.0)
+
+plot(c3[:beta])
+plot(c3[:sigma])
+plot(c3[:lambda])
+
+# Other method - will likely delete but keep for now incase any of it needed 
+#=
+struct MyDist <: ContinuousMultivariateDistribution 
+    sigma
+    beta
+end
+
+# Distributions.rand(rng::AbstractRNG, d::MyDist) = # create random tree w/ beta sigma
+
+function Distributions.logpdf(d::MyDist, tree::TraitTree) 
+    # add errors for if tree doesnt have right data
+
+    nodes = getnodes(tree, postorder)
+    trait = getnodedata(tree, nodes[1]).name
+
+    threepoint!(tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    return loglik(n, nd, d.sigma, d.beta) # my defined - may need to have threepoint in function
+end
+
+function Distributions.loglikelihood(d::MyDist, tree::TraitTree) 
+    # add errors for if tree doesnt have right data
+
+    nodes = getnodes(tree, postorder)
+    trait = getnodedata(tree, nodes[1]).name
+
+    threepoint!(tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    return loglik(n, nd, d.sigma, d.beta) # my defined - may need to have threepoint in function
+end
+
+@model function phyloinftree(tree)
+    beta ~ Uniform(-100, 100) 
+    sigma ~ Uniform(0, 100)
+
+    tree ~ MyDist(sigma, beta)
+    # return beta, sigma
+end
+
+c2 = sample(phyloinftree(tree), HMC(0.01, 5), 100000)
+plot(c2[:beta])
+plot(c2[:sigma])
+
+=#
diff --git a/LICENSE b/LICENSE
index 903c32f5..a2fb42a9 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,4 +1,4 @@
-Copyright (c) 2017-2024 Richard Reeve, Michael Borregaard and Claire Harris 
+Copyright (c) 2017-2024 Richard Reeve, Emily Davison, Michael Borregaard and Claire Harris 
 
 Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
 
diff --git a/NEWS.md b/NEWS.md
index e725f28e..77f7eefe 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -1,5 +1,9 @@
 # NEWS
 
+- v0.6.0
+  - Add preliminary inference code
+  - Bugfix for dropping no tips
+  - Minor metadata fixes
 - v0.5.4
   - Use ResearchSoftwareMetadata package
 - v0.5.3
diff --git a/Project.toml b/Project.toml
index 6ba87641..1d2a4248 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,8 +1,8 @@
 name = "Phylo"
 uuid = "aea672f4-3940-5932-aa44-993d1c3ff149"
 license = "BSD-2-Clause"
-authors = ["Richard Reeve <richard.reeve@glasgow.ac.uk>", "Michael Borregaard", "Claire Harris"]
-version = "0.5.4"
+authors = ["Richard Reeve <richard.reeve@glasgow.ac.uk>", "Emily Davison", "Michael Borregaard", "Claire Harris"]
+version = "0.6.0"
 
 [deps]
 AxisArrays = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
@@ -10,9 +10,13 @@ DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
 DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
 Distances = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
 Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
+DynamicPPL = "366bfd00-2699-11ea-058f-f148b4cae6d8"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 Graphs = "86223c79-3864-5bf0-83f7-82e725a168b6"
 IterableTables = "1c8ee90f-4401-5389-894e-7a04a3dc0f4d"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Missings = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+Optim = "429524aa-4258-5aef-a3af-852621145aeb"
 ParserCombinator = "fae87a5f-d1ad-5cf0-8f61-c941e1580b46"
 Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
 Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
@@ -20,6 +24,7 @@ Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 RecipesBase = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
 Requires = "ae029012-a4dd-5104-9daa-d747884805df"
 SimpleTraits = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
+StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 Tokenize = "0796e94c-ce3b-5d07-9a54-7f471281c624"
 Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
@@ -38,12 +43,16 @@ DataFrames = "1"
 DataStructures = "0.17, 0.18"
 Distances = "0.10"
 Distributions = "0.24, 0.25"
+DynamicPPL = "0.28"
+ForwardDiff = "0.10"
 Git = "1"
 Graphs = "1"
 IterableTables = "1"
 JuliaFormatter = "1"
+LinearAlgebra = "1.6"
 Logging = "1"
 Missings = "1"
+Optim = "1"
 ParserCombinator = "2"
 Pkg = "1.6"
 Plots = "1"
@@ -54,6 +63,7 @@ RecipesBase = "1"
 Requires = "1"
 ResearchSoftwareMetadata = "0.1.1"
 SimpleTraits = "0.9"
+StaticArrays = "1"
 Statistics = "1.6"
 Test = "1.6"
 Tokenize = "0.5"
@@ -67,6 +77,12 @@ orcid = "0000-0003-2589-8091"
     [[author_details.affiliation]]
     ror = "00vtgdb53"
 [[author_details]]
+name = "Emily Davison"
+orcid = "0009-0000-3656-8309"
+
+    [[author_details.affiliation]]
+    ror = "00vtgdb53"
+[[author_details]]
 name = "Michael Borregaard"
 orcid = "0000-0002-8146-8435"
 
@@ -81,6 +97,8 @@ orcid = "0000-0003-0852-2340"
 
 [extras]
 DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+DynamicPPL = "366bfd00-2699-11ea-058f-f148b4cae6d8"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 Git = "d7ba0133-e1db-5d97-8f8c-041e4b3a1eb2"
 JuliaFormatter = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
 Logging = "56ddb016-857b-54e1-b83d-db4d58db5568"
@@ -91,4 +109,4 @@ ResearchSoftwareMetadata = "58378933-4625-47fa-851e-05ee27d397bd"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["DataFrames", "Git", "JuliaFormatter", "Logging", "Pkg", "Plots", "RCall", "ResearchSoftwareMetadata", "Test"]
+test = ["DataFrames", "DynamicPPL", "ForwardDiff", "Git", "JuliaFormatter", "Logging", "Pkg", "Plots", "RCall", "ResearchSoftwareMetadata", "Test"]
diff --git a/codemeta.json b/codemeta.json
index af76ee58..c8b3a270 100644
--- a/codemeta.json
+++ b/codemeta.json
@@ -4,10 +4,10 @@
     "applicationCategory": "ecology",
     "codeRepository": "https://github.com/EcoJulia/Phylo.jl",
     "dateCreated": "2017-04-21",
-    "dateModified": "2024-07-20",
+    "dateModified": "2024-10-14",
     "datePublished": "2018-08-11",
     "description": "Package for creating and manipulating phylogenies in Julia",
-    "downloadUrl": "https://github.com/EcoJulia/Phylo.jl/archive/refs/tags/v0.5.4.tar.gz",
+    "downloadUrl": "https://github.com/EcoJulia/Phylo.jl/archive/refs/tags/v0.6.0.tar.gz",
     "keywords": [
         "EcoJulia",
         "ecology",
@@ -23,7 +23,7 @@
         "macOS"
     ],
     "programmingLanguage": "julia",
-    "version": "v0.5.4",
+    "version": "v0.6.0",
     "codemeta:contIntegration": {
         "id": "https://github.com/EcoJulia/Phylo.jl/actions/workflows/testing.yaml"
     },
@@ -48,6 +48,19 @@
                 }
             ]
         },
+        {
+            "type": "Person",
+            "givenName": "Emily",
+            "familyName": "Davison",
+            "id": "https://orcid.org/0009-0000-3656-8309",
+            "affiliation": [
+                {
+                    "type": "Organization",
+                    "name": "University of Glasgow",
+                    "identifier": "https://ror.org/00vtgdb53"
+                }
+            ]
+        },
         {
             "type": "Person",
             "givenName": "Michael",
diff --git a/examples/Manifest.toml b/examples/Manifest.toml
new file mode 100644
index 00000000..9a21ce0a
--- /dev/null
+++ b/examples/Manifest.toml
@@ -0,0 +1,2989 @@
+# This file is machine-generated - editing it directly is not advised
+
+julia_version = "1.10.5"
+manifest_format = "2.0"
+project_hash = "e9dbbb14da69893375aec0e3d86929552c34e66c"
+
+[[deps.ADTypes]]
+git-tree-sha1 = "eea5d80188827b35333801ef97a40c2ed653b081"
+uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
+version = "1.9.0"
+
+    [deps.ADTypes.extensions]
+    ADTypesChainRulesCoreExt = "ChainRulesCore"
+    ADTypesEnzymeCoreExt = "EnzymeCore"
+
+    [deps.ADTypes.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+
+[[deps.AbstractFFTs]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef"
+uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
+version = "1.5.0"
+weakdeps = ["ChainRulesCore", "Test"]
+
+    [deps.AbstractFFTs.extensions]
+    AbstractFFTsChainRulesCoreExt = "ChainRulesCore"
+    AbstractFFTsTestExt = "Test"
+
+[[deps.AbstractMCMC]]
+deps = ["BangBang", "ConsoleProgressMonitor", "Distributed", "FillArrays", "LogDensityProblems", "Logging", "LoggingExtras", "ProgressLogging", "Random", "StatsBase", "TerminalLoggers", "Transducers"]
+git-tree-sha1 = "d4ab12197672f0f4a3afb850d574cfded5fd9070"
+uuid = "80f14c24-f653-4e6a-9b94-39d6b0f70001"
+version = "5.4.0"
+
+[[deps.AbstractPPL]]
+deps = ["AbstractMCMC", "Accessors", "DensityInterface", "Random"]
+git-tree-sha1 = "6380a9a03a4207bac53ac310dd3a283bb4df54ef"
+uuid = "7a57a42e-76ec-4ea3-a279-07e840d6d9cf"
+version = "0.8.4"
+
+[[deps.AbstractTrees]]
+git-tree-sha1 = "2d9c9a55f9c93e8887ad391fbae72f8ef55e1177"
+uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
+version = "0.4.5"
+
+[[deps.Accessors]]
+deps = ["CompositionsBase", "ConstructionBase", "InverseFunctions", "LinearAlgebra", "MacroTools", "Markdown"]
+git-tree-sha1 = "b392ede862e506d451fc1616e79aa6f4c673dab8"
+uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
+version = "0.1.38"
+
+    [deps.Accessors.extensions]
+    AccessorsAxisKeysExt = "AxisKeys"
+    AccessorsDatesExt = "Dates"
+    AccessorsIntervalSetsExt = "IntervalSets"
+    AccessorsStaticArraysExt = "StaticArrays"
+    AccessorsStructArraysExt = "StructArrays"
+    AccessorsTestExt = "Test"
+    AccessorsUnitfulExt = "Unitful"
+
+    [deps.Accessors.weakdeps]
+    AxisKeys = "94b1ba4f-4ee9-5380-92f1-94cde586c3c5"
+    Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
+    IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
+    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
+
+[[deps.Adapt]]
+deps = ["LinearAlgebra", "Requires"]
+git-tree-sha1 = "6a55b747d1812e699320963ffde36f1ebdda4099"
+uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+version = "4.0.4"
+weakdeps = ["StaticArrays"]
+
+    [deps.Adapt.extensions]
+    AdaptStaticArraysExt = "StaticArrays"
+
+[[deps.AdvancedHMC]]
+deps = ["AbstractMCMC", "ArgCheck", "DocStringExtensions", "InplaceOps", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "ProgressMeter", "Random", "Requires", "Setfield", "SimpleUnPack", "Statistics", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "1da0961a400c28d1e5f057e922ff75ec5d6a5747"
+uuid = "0bf59076-c3b1-5ca4-86bd-e02cd72cde3d"
+version = "0.6.2"
+
+    [deps.AdvancedHMC.extensions]
+    AdvancedHMCCUDAExt = "CUDA"
+    AdvancedHMCMCMCChainsExt = "MCMCChains"
+    AdvancedHMCOrdinaryDiffEqExt = "OrdinaryDiffEq"
+
+    [deps.AdvancedHMC.weakdeps]
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    MCMCChains = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
+    OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+
+[[deps.AdvancedMH]]
+deps = ["AbstractMCMC", "Distributions", "FillArrays", "LinearAlgebra", "LogDensityProblems", "Random", "Requires"]
+git-tree-sha1 = "66ac4c7b320d2434f04d48116db02e73e6dabc8b"
+uuid = "5b7e9947-ddc0-4b3f-9b55-0d8042f74170"
+version = "0.8.3"
+weakdeps = ["DiffResults", "ForwardDiff", "MCMCChains", "StructArrays"]
+
+    [deps.AdvancedMH.extensions]
+    AdvancedMHForwardDiffExt = ["DiffResults", "ForwardDiff"]
+    AdvancedMHMCMCChainsExt = "MCMCChains"
+    AdvancedMHStructArraysExt = "StructArrays"
+
+[[deps.AdvancedPS]]
+deps = ["AbstractMCMC", "Distributions", "Random", "Random123", "Requires", "SSMProblems", "StatsFuns"]
+git-tree-sha1 = "5dcd3de7e7346f48739256e71a86d0f96690b8c8"
+uuid = "576499cb-2369-40b2-a588-c64705576edc"
+version = "0.6.0"
+weakdeps = ["Libtask"]
+
+    [deps.AdvancedPS.extensions]
+    AdvancedPSLibtaskExt = "Libtask"
+
+[[deps.AdvancedVI]]
+deps = ["ADTypes", "Bijectors", "DiffResults", "Distributions", "DistributionsAD", "DocStringExtensions", "ForwardDiff", "LinearAlgebra", "ProgressMeter", "Random", "Requires", "StatsBase", "StatsFuns", "Tracker"]
+git-tree-sha1 = "c217a9b531b4b752eb120a9f820527126ba68fb9"
+uuid = "b5ca4192-6429-45e5-a2d9-87aec30a685c"
+version = "0.2.8"
+
+    [deps.AdvancedVI.extensions]
+    AdvancedVIEnzymeExt = ["Enzyme"]
+    AdvancedVIFluxExt = ["Flux"]
+    AdvancedVIReverseDiffExt = ["ReverseDiff"]
+    AdvancedVIZygoteExt = ["Zygote"]
+
+    [deps.AdvancedVI.weakdeps]
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.AliasTables]]
+deps = ["PtrArrays", "Random"]
+git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff"
+uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8"
+version = "1.1.3"
+
+[[deps.ArgCheck]]
+git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4"
+uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197"
+version = "2.3.0"
+
+[[deps.ArgTools]]
+uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
+version = "1.1.1"
+
+[[deps.ArnoldiMethod]]
+deps = ["LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "d57bd3762d308bded22c3b82d033bff85f6195c6"
+uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
+version = "0.4.0"
+
+[[deps.ArrayInterface]]
+deps = ["Adapt", "LinearAlgebra"]
+git-tree-sha1 = "3640d077b6dafd64ceb8fd5c1ec76f7ca53bcf76"
+uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
+version = "7.16.0"
+
+    [deps.ArrayInterface.extensions]
+    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
+    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
+    ArrayInterfaceCUDAExt = "CUDA"
+    ArrayInterfaceCUDSSExt = "CUDSS"
+    ArrayInterfaceChainRulesExt = "ChainRules"
+    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
+    ArrayInterfaceReverseDiffExt = "ReverseDiff"
+    ArrayInterfaceSparseArraysExt = "SparseArrays"
+    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
+    ArrayInterfaceTrackerExt = "Tracker"
+
+    [deps.ArrayInterface.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
+[[deps.Artifacts]]
+uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
+
+[[deps.Atomix]]
+deps = ["UnsafeAtomics"]
+git-tree-sha1 = "c06a868224ecba914baa6942988e2f2aade419be"
+uuid = "a9b6321e-bd34-4604-b9c9-b65b8de01458"
+version = "0.1.0"
+
+[[deps.AutoHashEquals]]
+git-tree-sha1 = "4ec6b48702dacc5994a835c1189831755e4e76ef"
+uuid = "15f4f7f2-30c1-5605-9d31-71845cf9641f"
+version = "2.2.0"
+
+[[deps.Automa]]
+deps = ["PrecompileTools", "TranscodingStreams"]
+git-tree-sha1 = "014bc22d6c400a7703c0f5dc1fdc302440cf88be"
+uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b"
+version = "1.0.4"
+
+[[deps.AxisAlgorithms]]
+deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
+git-tree-sha1 = "01b8ccb13d68535d73d2b0c23e39bd23155fb712"
+uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
+version = "1.1.0"
+
+[[deps.AxisArrays]]
+deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
+git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f"
+uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
+version = "0.4.7"
+
+[[deps.BangBang]]
+deps = ["Accessors", "ConstructionBase", "InitialValues", "LinearAlgebra", "Requires"]
+git-tree-sha1 = "e2144b631226d9eeab2d746ca8880b7ccff504ae"
+uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
+version = "0.4.3"
+
+    [deps.BangBang.extensions]
+    BangBangChainRulesCoreExt = "ChainRulesCore"
+    BangBangDataFramesExt = "DataFrames"
+    BangBangStaticArraysExt = "StaticArrays"
+    BangBangStructArraysExt = "StructArrays"
+    BangBangTablesExt = "Tables"
+    BangBangTypedTablesExt = "TypedTables"
+
+    [deps.BangBang.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+    Tables = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
+    TypedTables = "9d95f2ec-7b3d-5a63-8d20-e2491e220bb9"
+
+[[deps.Base64]]
+uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
+
+[[deps.Baselet]]
+git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e"
+uuid = "9718e550-a3fa-408a-8086-8db961cd8217"
+version = "0.1.1"
+
+[[deps.BenchmarkTools]]
+deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
+git-tree-sha1 = "f1dff6729bc61f4d49e140da1af55dcd1ac97b2f"
+uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+version = "1.5.0"
+
+[[deps.Bijections]]
+git-tree-sha1 = "d8b0439d2be438a5f2cd68ec158fe08a7b2595b7"
+uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
+version = "0.1.9"
+
+[[deps.Bijectors]]
+deps = ["ArgCheck", "ChainRules", "ChainRulesCore", "ChangesOfVariables", "Compat", "Distributions", "DocStringExtensions", "Functors", "InverseFunctions", "IrrationalConstants", "LinearAlgebra", "LogExpFunctions", "MappedArrays", "Random", "Reexport", "Requires", "Roots", "SparseArrays", "Statistics"]
+git-tree-sha1 = "92edc3544607c4fda1b30357910597e2a70dc5ea"
+uuid = "76274a88-744f-5084-9051-94815aaf08c4"
+version = "0.13.18"
+
+    [deps.Bijectors.extensions]
+    BijectorsDistributionsADExt = "DistributionsAD"
+    BijectorsEnzymeExt = "Enzyme"
+    BijectorsForwardDiffExt = "ForwardDiff"
+    BijectorsLazyArraysExt = "LazyArrays"
+    BijectorsReverseDiffExt = "ReverseDiff"
+    BijectorsTapirExt = "Tapir"
+    BijectorsTrackerExt = "Tracker"
+    BijectorsZygoteExt = "Zygote"
+
+    [deps.Bijectors.weakdeps]
+    DistributionsAD = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tapir = "07d77754-e150-4737-8c94-cd238a1fb45b"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.BioGenerics]]
+deps = ["TranscodingStreams"]
+git-tree-sha1 = "017562e86afcd2a6a2a9220606a40b54604887c9"
+uuid = "47718e42-2ac5-11e9-14af-e5595289c2ea"
+version = "0.1.5"
+
+[[deps.BioSequences]]
+deps = ["BioSymbols", "PrecompileTools", "Random", "Twiddle"]
+git-tree-sha1 = "6fdba8b4279460fef5674e9aa2dac7ef5be361d5"
+uuid = "7e6ae17a-c86d-528c-b3b9-7f778a29fe59"
+version = "3.1.6"
+
+[[deps.BioSymbols]]
+deps = ["PrecompileTools"]
+git-tree-sha1 = "e32a61f028b823a172c75e26865637249bb30dff"
+uuid = "3c28c6f8-a34d-59c4-9654-267d177fcfa9"
+version = "5.1.3"
+
+[[deps.BitFlags]]
+git-tree-sha1 = "0691e34b3bb8be9307330f88d1a3c3f25466c24d"
+uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
+version = "0.1.9"
+
+[[deps.Bzip2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "9e2a6b69137e6969bab0152632dcb3bc108c8bdd"
+uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
+version = "1.0.8+1"
+
+[[deps.CEnum]]
+git-tree-sha1 = "389ad5c84de1ae7cf0e28e381131c98ea87d54fc"
+uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
+version = "0.5.0"
+
+[[deps.CSV]]
+deps = ["CodecZlib", "Dates", "FilePathsBase", "InlineStrings", "Mmap", "Parsers", "PooledArrays", "PrecompileTools", "SentinelArrays", "Tables", "Unicode", "WeakRefStrings", "WorkerUtilities"]
+git-tree-sha1 = "6c834533dc1fabd820c1db03c839bf97e45a3fab"
+uuid = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
+version = "0.10.14"
+
+[[deps.Cairo]]
+deps = ["Cairo_jll", "Colors", "Glib_jll", "Graphics", "Libdl", "Pango_jll"]
+git-tree-sha1 = "7b6ad8c35f4bc3bca8eb78127c8b99719506a5fb"
+uuid = "159f3aea-2a34-519c-b102-8c37f9878175"
+version = "1.1.0"
+
+[[deps.Cairo_jll]]
+deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
+git-tree-sha1 = "009060c9a6168704143100f36ab08f06c2af4642"
+uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
+version = "1.18.2+1"
+
+[[deps.CategoricalArrays]]
+deps = ["DataAPI", "Future", "Missings", "Printf", "Requires", "Statistics", "Unicode"]
+git-tree-sha1 = "1568b28f91293458345dabba6a5ea3f183250a61"
+uuid = "324d7699-5711-5eae-9e2f-1d82baa6b597"
+version = "0.10.8"
+
+    [deps.CategoricalArrays.extensions]
+    CategoricalArraysJSONExt = "JSON"
+    CategoricalArraysRecipesBaseExt = "RecipesBase"
+    CategoricalArraysSentinelArraysExt = "SentinelArrays"
+    CategoricalArraysStructTypesExt = "StructTypes"
+
+    [deps.CategoricalArrays.weakdeps]
+    JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
+    RecipesBase = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+    SentinelArrays = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
+    StructTypes = "856f2bd8-1eba-4b0a-8007-ebc267875bd4"
+
+[[deps.ChainRules]]
+deps = ["Adapt", "ChainRulesCore", "Compat", "Distributed", "GPUArraysCore", "IrrationalConstants", "LinearAlgebra", "Random", "RealDot", "SparseArrays", "SparseInverseSubset", "Statistics", "StructArrays", "SuiteSparse"]
+git-tree-sha1 = "be227d253d132a6d57f9ccf5f67c0fb6488afd87"
+uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+version = "1.71.0"
+
+[[deps.ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra"]
+git-tree-sha1 = "3e4b134270b372f2ed4d4d0e936aabaefc1802bc"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "1.25.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ChainRulesCore.extensions]
+    ChainRulesCoreSparseArraysExt = "SparseArrays"
+
+[[deps.ChangesOfVariables]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "799b25ca3a8a24936ae7b5c52ad194685fc3e6ef"
+uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+version = "0.1.9"
+weakdeps = ["InverseFunctions", "Test"]
+
+    [deps.ChangesOfVariables.extensions]
+    ChangesOfVariablesInverseFunctionsExt = "InverseFunctions"
+    ChangesOfVariablesTestExt = "Test"
+
+[[deps.CodecZlib]]
+deps = ["TranscodingStreams", "Zlib_jll"]
+git-tree-sha1 = "bce6804e5e6044c6daab27bb533d1295e4a2e759"
+uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
+version = "0.7.6"
+
+[[deps.ColorSchemes]]
+deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
+git-tree-sha1 = "b5278586822443594ff615963b0c09755771b3e0"
+uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
+version = "3.26.0"
+
+[[deps.ColorTypes]]
+deps = ["FixedPointNumbers", "Random"]
+git-tree-sha1 = "b10d0b65641d57b8b4d5e234446582de5047050d"
+uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
+version = "0.11.5"
+
+[[deps.ColorVectorSpace]]
+deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
+git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
+uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
+version = "0.10.0"
+weakdeps = ["SpecialFunctions"]
+
+    [deps.ColorVectorSpace.extensions]
+    SpecialFunctionsExt = "SpecialFunctions"
+
+[[deps.Colors]]
+deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
+git-tree-sha1 = "362a287c3aa50601b0bc359053d5c2468f0e7ce0"
+uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
+version = "0.12.11"
+
+[[deps.Combinatorics]]
+git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
+uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+version = "1.0.2"
+
+[[deps.CommonSolve]]
+git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
+uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
+version = "0.2.4"
+
+[[deps.CommonSubexpressions]]
+deps = ["MacroTools"]
+git-tree-sha1 = "cda2cfaebb4be89c9084adaca7dd7333369715c5"
+uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
+version = "0.3.1"
+
+[[deps.CommonWorldInvalidations]]
+git-tree-sha1 = "ae52d1c52048455e85a387fbee9be553ec2b68d0"
+uuid = "f70d9fcc-98c5-4d4a-abd7-e4cdeebd8ca8"
+version = "1.0.0"
+
+[[deps.Compat]]
+deps = ["TOML", "UUIDs"]
+git-tree-sha1 = "8ae8d32e09f0dcf42a36b90d4e17f5dd2e4c4215"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "4.16.0"
+weakdeps = ["Dates", "LinearAlgebra"]
+
+    [deps.Compat.extensions]
+    CompatLinearAlgebraExt = "LinearAlgebra"
+
+[[deps.CompilerSupportLibraries_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+version = "1.1.1+0"
+
+[[deps.CompositeTypes]]
+git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768"
+uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
+version = "0.1.4"
+
+[[deps.CompositionsBase]]
+git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad"
+uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
+version = "0.1.2"
+weakdeps = ["InverseFunctions"]
+
+    [deps.CompositionsBase.extensions]
+    CompositionsBaseInverseFunctionsExt = "InverseFunctions"
+
+[[deps.ConcurrentUtilities]]
+deps = ["Serialization", "Sockets"]
+git-tree-sha1 = "ea32b83ca4fefa1768dc84e504cc0a94fb1ab8d1"
+uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
+version = "2.4.2"
+
+[[deps.Conda]]
+deps = ["Downloads", "JSON", "VersionParsing"]
+git-tree-sha1 = "b19db3927f0db4151cb86d073689f2428e524576"
+uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d"
+version = "1.10.2"
+
+[[deps.ConsoleProgressMonitor]]
+deps = ["Logging", "ProgressMeter"]
+git-tree-sha1 = "3ab7b2136722890b9af903859afcf457fa3059e8"
+uuid = "88cd18e8-d9cc-4ea6-8889-5259c0d15c8b"
+version = "0.1.2"
+
+[[deps.ConstructionBase]]
+git-tree-sha1 = "76219f1ed5771adbb096743bff43fb5fdd4c1157"
+uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
+version = "1.5.8"
+weakdeps = ["IntervalSets", "LinearAlgebra", "StaticArrays"]
+
+    [deps.ConstructionBase.extensions]
+    ConstructionBaseIntervalSetsExt = "IntervalSets"
+    ConstructionBaseLinearAlgebraExt = "LinearAlgebra"
+    ConstructionBaseStaticArraysExt = "StaticArrays"
+
+[[deps.Contour]]
+git-tree-sha1 = "439e35b0b36e2e5881738abc8857bd92ad6ff9a8"
+uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
+version = "0.6.3"
+
+[[deps.Crayons]]
+git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15"
+uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
+version = "4.1.1"
+
+[[deps.DSP]]
+deps = ["Compat", "FFTW", "IterTools", "LinearAlgebra", "Polynomials", "Random", "Reexport", "SpecialFunctions", "Statistics"]
+git-tree-sha1 = "0df00546373af8eee1598fb4b2ba480b1ebe895c"
+uuid = "717857b8-e6f2-59f4-9121-6e50c889abd2"
+version = "0.7.10"
+
+[[deps.DataAPI]]
+git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.16.0"
+
+[[deps.DataFrames]]
+deps = ["Compat", "DataAPI", "DataStructures", "Future", "InlineStrings", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrecompileTools", "PrettyTables", "Printf", "Random", "Reexport", "SentinelArrays", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
+git-tree-sha1 = "fb61b4812c49343d7ef0b533ba982c46021938a6"
+uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+version = "1.7.0"
+
+[[deps.DataStructures]]
+deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "1d0a14036acb104d9e89698bd408f63ab58cdc82"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.18.20"
+
+[[deps.DataValueInterfaces]]
+git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
+uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
+version = "1.0.0"
+
+[[deps.DataValues]]
+deps = ["DataValueInterfaces", "Dates"]
+git-tree-sha1 = "d88a19299eba280a6d062e135a43f00323ae70bf"
+uuid = "e7dc6d0d-1eca-5fa6-8ad6-5aecde8b7ea5"
+version = "0.4.13"
+
+[[deps.Dates]]
+deps = ["Printf"]
+uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
+
+[[deps.Dbus_jll]]
+deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "fc173b380865f70627d7dd1190dc2fce6cc105af"
+uuid = "ee1fde0b-3d02-5ea6-8484-8dfef6360eab"
+version = "1.14.10+0"
+
+[[deps.DefineSingletons]]
+git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c"
+uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52"
+version = "0.1.2"
+
+[[deps.DelimitedFiles]]
+deps = ["Mmap"]
+git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
+uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
+version = "1.9.1"
+
+[[deps.DensityInterface]]
+deps = ["InverseFunctions", "Test"]
+git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b"
+uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+version = "0.4.0"
+
+[[deps.Dictionaries]]
+deps = ["Indexing", "Random", "Serialization"]
+git-tree-sha1 = "35b66b6744b2d92c778afd3a88d2571875664a2a"
+uuid = "85a47980-9c8c-11e8-2b9f-f7ca1fa99fb4"
+version = "0.4.2"
+
+[[deps.DiffResults]]
+deps = ["StaticArraysCore"]
+git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621"
+uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
+version = "1.1.0"
+
+[[deps.DiffRules]]
+deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
+git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
+uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
+version = "1.15.1"
+
+[[deps.Distances]]
+deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
+git-tree-sha1 = "66c4c81f259586e8f002eacebc177e1fb06363b0"
+uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
+version = "0.10.11"
+weakdeps = ["ChainRulesCore", "SparseArrays"]
+
+    [deps.Distances.extensions]
+    DistancesChainRulesCoreExt = "ChainRulesCore"
+    DistancesSparseArraysExt = "SparseArrays"
+
+[[deps.Distributed]]
+deps = ["Random", "Serialization", "Sockets"]
+uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
+
+[[deps.Distributions]]
+deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "d7477ecdafb813ddee2ae727afa94e9dcb5f3fb0"
+uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
+version = "0.25.112"
+weakdeps = ["ChainRulesCore", "DensityInterface", "Test"]
+
+    [deps.Distributions.extensions]
+    DistributionsChainRulesCoreExt = "ChainRulesCore"
+    DistributionsDensityInterfaceExt = "DensityInterface"
+    DistributionsTestExt = "Test"
+
+[[deps.DistributionsAD]]
+deps = ["Adapt", "ChainRules", "ChainRulesCore", "Compat", "Distributions", "FillArrays", "LinearAlgebra", "PDMats", "Random", "Requires", "SpecialFunctions", "StaticArrays", "StatsFuns", "ZygoteRules"]
+git-tree-sha1 = "02c2e6e6a137069227439fe884d729cca5b70e56"
+uuid = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+version = "0.6.57"
+
+    [deps.DistributionsAD.extensions]
+    DistributionsADForwardDiffExt = "ForwardDiff"
+    DistributionsADLazyArraysExt = "LazyArrays"
+    DistributionsADReverseDiffExt = "ReverseDiff"
+    DistributionsADTrackerExt = "Tracker"
+
+    [deps.DistributionsAD.weakdeps]
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
+[[deps.DocStringExtensions]]
+deps = ["LibGit2"]
+git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
+uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
+version = "0.9.3"
+
+[[deps.DomainSets]]
+deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "490392af2c7d63183bfa2c8aaa6ab981c5ba7561"
+uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
+version = "0.7.14"
+
+    [deps.DomainSets.extensions]
+    DomainSetsMakieExt = "Makie"
+
+    [deps.DomainSets.weakdeps]
+    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
+
+[[deps.Downloads]]
+deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
+uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
+version = "1.6.0"
+
+[[deps.DynamicPPL]]
+deps = ["ADTypes", "AbstractMCMC", "AbstractPPL", "Accessors", "BangBang", "Bijectors", "Compat", "ConstructionBase", "Distributions", "DocStringExtensions", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "MacroTools", "OrderedCollections", "Random", "Requires", "Test"]
+git-tree-sha1 = "6e5aa7546a0281a1b4bb51a26d0145bb92813a34"
+uuid = "366bfd00-2699-11ea-058f-f148b4cae6d8"
+version = "0.28.5"
+
+    [deps.DynamicPPL.extensions]
+    DynamicPPLChainRulesCoreExt = ["ChainRulesCore"]
+    DynamicPPLEnzymeCoreExt = ["EnzymeCore"]
+    DynamicPPLForwardDiffExt = ["ForwardDiff"]
+    DynamicPPLMCMCChainsExt = ["MCMCChains"]
+    DynamicPPLReverseDiffExt = ["ReverseDiff"]
+    DynamicPPLZygoteRulesExt = ["ZygoteRules"]
+
+    [deps.DynamicPPL.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    MCMCChains = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    ZygoteRules = "700de1a5-db45-46bc-99cf-38207098b444"
+
+[[deps.DynamicPolynomials]]
+deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Reexport", "Test"]
+git-tree-sha1 = "bbf1ace0781d9744cb697fb856bd2c3f6568dadb"
+uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
+version = "0.6.0"
+
+[[deps.Einsum]]
+deps = ["Compat"]
+git-tree-sha1 = "4a6b3eee0161c89700b6c1949feae8b851da5494"
+uuid = "b7d42ee7-0b51-5a75-98ca-779d3107e4c0"
+version = "0.4.1"
+
+[[deps.EllipticalSliceSampling]]
+deps = ["AbstractMCMC", "ArrayInterface", "Distributions", "Random", "Statistics"]
+git-tree-sha1 = "e611b7fdfbfb5b18d5e98776c30daede41b44542"
+uuid = "cad2338a-1db2-11e9-3401-43bc07c9ede2"
+version = "2.0.0"
+
+[[deps.EnumX]]
+git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
+uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
+version = "1.0.4"
+
+[[deps.EpollShim_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
+uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
+version = "0.0.20230411+0"
+
+[[deps.ExceptionUnwrapping]]
+deps = ["Test"]
+git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
+uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
+version = "0.1.10"
+
+[[deps.Expat_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "1c6317308b9dc757616f0b5cb379db10494443a7"
+uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
+version = "2.6.2+0"
+
+[[deps.ExprTools]]
+git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
+uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
+version = "0.1.10"
+
+[[deps.Expronicon]]
+deps = ["MLStyle", "Pkg", "TOML"]
+git-tree-sha1 = "fc3951d4d398b5515f91d7fe5d45fc31dccb3c9b"
+uuid = "6b7a57c9-7cc1-4fdf-b7f5-e857abae3636"
+version = "0.8.5"
+
+[[deps.FASTX]]
+deps = ["Automa", "BioGenerics", "PrecompileTools", "StringViews", "TranscodingStreams"]
+git-tree-sha1 = "cfbc767762419cc2b6b61a2c70aa81e54b27000f"
+uuid = "c2308a5c-f048-11e8-3e8a-31650f418d12"
+version = "2.1.7"
+weakdeps = ["BioSequences"]
+
+    [deps.FASTX.extensions]
+    BioSequencesExt = "BioSequences"
+
+[[deps.FFMPEG]]
+deps = ["FFMPEG_jll"]
+git-tree-sha1 = "53ebe7511fa11d33bec688a9178fac4e49eeee00"
+uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
+version = "0.4.2"
+
+[[deps.FFMPEG_jll]]
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
+git-tree-sha1 = "466d45dc38e15794ec7d5d63ec03d776a9aff36e"
+uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
+version = "4.4.4+1"
+
+[[deps.FFTW]]
+deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
+git-tree-sha1 = "4820348781ae578893311153d69049a93d05f39d"
+uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+version = "1.8.0"
+
+[[deps.FFTW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4d81ed14783ec49ce9f2e168208a12ce1815aa25"
+uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
+version = "3.3.10+1"
+
+[[deps.FileIO]]
+deps = ["Pkg", "Requires", "UUIDs"]
+git-tree-sha1 = "62ca0547a14c57e98154423419d8a342dca75ca9"
+uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
+version = "1.16.4"
+
+[[deps.FilePathsBase]]
+deps = ["Compat", "Dates"]
+git-tree-sha1 = "7878ff7172a8e6beedd1dea14bd27c3c6340d361"
+uuid = "48062228-2e41-5def-b9a4-89aafe57970f"
+version = "0.9.22"
+weakdeps = ["Mmap", "Test"]
+
+    [deps.FilePathsBase.extensions]
+    FilePathsBaseMmapExt = "Mmap"
+    FilePathsBaseTestExt = "Test"
+
+[[deps.FileWatching]]
+uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
+
+[[deps.FillArrays]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "6a70198746448456524cb442b8af316927ff3e1a"
+uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
+version = "1.13.0"
+weakdeps = ["PDMats", "SparseArrays", "Statistics"]
+
+    [deps.FillArrays.extensions]
+    FillArraysPDMatsExt = "PDMats"
+    FillArraysSparseArraysExt = "SparseArrays"
+    FillArraysStatisticsExt = "Statistics"
+
+[[deps.FiniteDiff]]
+deps = ["ArrayInterface", "LinearAlgebra", "Setfield"]
+git-tree-sha1 = "b10bdafd1647f57ace3885143936749d61638c3b"
+uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
+version = "2.26.0"
+
+    [deps.FiniteDiff.extensions]
+    FiniteDiffBandedMatricesExt = "BandedMatrices"
+    FiniteDiffBlockBandedMatricesExt = "BlockBandedMatrices"
+    FiniteDiffSparseArraysExt = "SparseArrays"
+    FiniteDiffStaticArraysExt = "StaticArrays"
+
+    [deps.FiniteDiff.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+
+[[deps.FixedPointNumbers]]
+deps = ["Statistics"]
+git-tree-sha1 = "05882d6995ae5c12bb5f36dd2ed3f61c98cbb172"
+uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
+version = "0.8.5"
+
+[[deps.FlameGraphs]]
+deps = ["AbstractTrees", "Colors", "FileIO", "FixedPointNumbers", "IndirectArrays", "LeftChildRightSiblingTrees", "Profile"]
+git-tree-sha1 = "bd1aaf448be998ea427b1c7213b8acf2e278498b"
+uuid = "08572546-2f56-4bcf-ba4e-bab62c3a3f89"
+version = "1.0.0"
+
+[[deps.Fontconfig_jll]]
+deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Zlib_jll"]
+git-tree-sha1 = "db16beca600632c95fc8aca29890d83788dd8b23"
+uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
+version = "2.13.96+0"
+
+[[deps.Format]]
+git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc"
+uuid = "1fa38f19-a742-5d3f-a2b9-30dd87b9d5f8"
+version = "1.3.7"
+
+[[deps.ForwardDiff]]
+deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
+git-tree-sha1 = "cf0fe81336da9fb90944683b8c41984b08793dad"
+uuid = "f6369f11-7733-5829-9624-2563aa707210"
+version = "0.10.36"
+weakdeps = ["StaticArrays"]
+
+    [deps.ForwardDiff.extensions]
+    ForwardDiffStaticArraysExt = "StaticArrays"
+
+[[deps.FreeType2_jll]]
+deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "5c1d8ae0efc6c2e7b1fc502cbe25def8f661b7bc"
+uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
+version = "2.13.2+0"
+
+[[deps.FriBidi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "1ed150b39aebcc805c26b93a8d0122c940f64ce2"
+uuid = "559328eb-81f9-559d-9380-de523a88c83c"
+version = "1.0.14+0"
+
+[[deps.FunctionWrappers]]
+git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e"
+uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
+version = "1.1.3"
+
+[[deps.FunctionWrappersWrappers]]
+deps = ["FunctionWrappers"]
+git-tree-sha1 = "b104d487b34566608f8b4e1c39fb0b10aa279ff8"
+uuid = "77dc65aa-8811-40c2-897b-53d922fa7daf"
+version = "0.1.3"
+
+[[deps.Functors]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "64d8e93700c7a3f28f717d265382d52fac9fa1c1"
+uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
+version = "0.4.12"
+
+[[deps.Future]]
+deps = ["Random"]
+uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
+
+[[deps.GLFW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "libdecor_jll", "xkbcommon_jll"]
+git-tree-sha1 = "532f9126ad901533af1d4f5c198867227a7bb077"
+uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
+version = "3.4.0+1"
+
+[[deps.GLM]]
+deps = ["Distributions", "LinearAlgebra", "Printf", "Reexport", "SparseArrays", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "StatsModels"]
+git-tree-sha1 = "273bd1cd30768a2fddfa3fd63bbc746ed7249e5f"
+uuid = "38e38edf-8417-5370-95a0-9cbb8c7f171a"
+version = "1.9.0"
+
+[[deps.GPUArraysCore]]
+deps = ["Adapt"]
+git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950"
+uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
+version = "0.1.6"
+
+[[deps.GR]]
+deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Preferences", "Printf", "Qt6Wayland_jll", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "p7zip_jll"]
+git-tree-sha1 = "629693584cef594c3f6f99e76e7a7ad17e60e8d5"
+uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
+version = "0.73.7"
+
+[[deps.GR_jll]]
+deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
+git-tree-sha1 = "a8863b69c2a0859f2c2c87ebdc4c6712e88bdf0d"
+uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
+version = "0.73.7+0"
+
+[[deps.GTK4_jll]]
+deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "Graphene_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Libepoxy_jll", "Libtiff_jll", "Pango_jll", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libX11_jll", "Xorg_libXcursor_jll", "Xorg_libXdamage_jll", "Xorg_libXext_jll", "Xorg_libXfixes_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "Xorg_libXrender_jll", "gdk_pixbuf_jll", "iso_codes_jll", "xkbcommon_jll"]
+git-tree-sha1 = "b13d8bc60311f88b887f7886633fc396134af050"
+uuid = "6ebb71f1-8434-552f-b6b1-dc18babcca63"
+version = "4.14.5+0"
+
+[[deps.Gettext_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
+git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
+uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
+version = "0.21.0+0"
+
+[[deps.Glib_jll]]
+deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
+git-tree-sha1 = "674ff0db93fffcd11a3573986e550d66cd4fd71f"
+uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
+version = "2.80.5+0"
+
+[[deps.Graphene_jll]]
+deps = ["Artifacts", "Glib_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "61850a17f562453e3485a489c9c8cccb3abcab93"
+uuid = "75302f13-0b7e-5bab-a6d1-23fa92e4c2ea"
+version = "1.10.6+0"
+
+[[deps.Graphics]]
+deps = ["Colors", "LinearAlgebra", "NaNMath"]
+git-tree-sha1 = "d61890399bc535850c4bf08e4e0d3a7ad0f21cbd"
+uuid = "a2bd30eb-e257-5431-a919-1863eab51364"
+version = "1.1.2"
+
+[[deps.Graphite2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
+uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
+version = "1.3.14+0"
+
+[[deps.Graphs]]
+deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
+git-tree-sha1 = "1dc470db8b1131cfc7fb4c115de89fe391b9e780"
+uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
+version = "1.12.0"
+
+[[deps.Grisu]]
+git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
+uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
+version = "1.0.2"
+
+[[deps.Gtk4]]
+deps = ["BitFlags", "CEnum", "Cairo", "Cairo_jll", "ColorTypes", "GTK4_jll", "Glib_jll", "Graphene_jll", "Graphics", "JLLWrappers", "Libdl", "Librsvg_jll", "Pango_jll", "Preferences", "Reexport", "Scratch", "Xorg_xkeyboard_config_jll", "adwaita_icon_theme_jll", "gdk_pixbuf_jll", "hicolor_icon_theme_jll"]
+git-tree-sha1 = "62dd852143217375e929fb5aec15c2d967fb8eb5"
+uuid = "9db2cae5-386f-4011-9d63-a5602296539b"
+version = "0.6.1"
+
+[[deps.GtkObservables]]
+deps = ["Cairo", "Colors", "Dates", "FixedPointNumbers", "Graphics", "Gtk4", "IntervalSets", "LinearAlgebra", "Observables", "PrecompileTools", "Reexport", "RoundingIntegers"]
+git-tree-sha1 = "001628258ac5908ea87e754f4bfb9fc318ddbaff"
+uuid = "8710efd8-4ad6-11eb-33ea-2d5ceb25a41c"
+version = "2.1.3"
+
+[[deps.HTTP]]
+deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
+git-tree-sha1 = "d1d712be3164d61d1fb98e7ce9bcbc6cc06b45ed"
+uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
+version = "1.10.8"
+
+[[deps.HarfBuzz_jll]]
+deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"]
+git-tree-sha1 = "401e4f3f30f43af2c8478fc008da50096ea5240f"
+uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
+version = "8.3.1+0"
+
+[[deps.HybridArrays]]
+deps = ["LinearAlgebra", "Requires", "StaticArrays"]
+git-tree-sha1 = "6c3e57bc26728b99f470b267a437f0d380eac4fc"
+uuid = "1baab800-613f-4b0a-84e4-9cd3431bfbb9"
+version = "0.4.16"
+
+[[deps.HypergeometricFunctions]]
+deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
+git-tree-sha1 = "7c4195be1649ae622304031ed46a2f4df989f1eb"
+uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
+version = "0.3.24"
+
+[[deps.IfElse]]
+git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
+uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
+version = "0.1.1"
+
+[[deps.Indexing]]
+git-tree-sha1 = "ce1566720fd6b19ff3411404d4b977acd4814f9f"
+uuid = "313cdc1a-70c2-5d6a-ae34-0150d3930a38"
+version = "1.1.1"
+
+[[deps.IndirectArrays]]
+git-tree-sha1 = "012e604e1c7458645cb8b436f8fba789a51b257f"
+uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
+version = "1.0.0"
+
+[[deps.Inflate]]
+git-tree-sha1 = "d1b1b796e47d94588b3757fe84fbf65a5ec4a80d"
+uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
+version = "0.1.5"
+
+[[deps.InitialValues]]
+git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
+uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
+version = "0.3.1"
+
+[[deps.InlineStrings]]
+git-tree-sha1 = "45521d31238e87ee9f9732561bfee12d4eebd52d"
+uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48"
+version = "1.4.2"
+
+    [deps.InlineStrings.extensions]
+    ArrowTypesExt = "ArrowTypes"
+    ParsersExt = "Parsers"
+
+    [deps.InlineStrings.weakdeps]
+    ArrowTypes = "31f734f8-188a-4ce0-8406-c8a06bd891cd"
+    Parsers = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
+
+[[deps.InplaceOps]]
+deps = ["LinearAlgebra", "Test"]
+git-tree-sha1 = "50b41d59e7164ab6fda65e71049fee9d890731ff"
+uuid = "505f98c9-085e-5b2c-8e89-488be7bf1f34"
+version = "0.3.0"
+
+[[deps.IntegerMathUtils]]
+git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
+uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
+version = "0.1.2"
+
+[[deps.IntelOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl"]
+git-tree-sha1 = "10bd689145d2c3b2a9844005d01087cc1194e79e"
+uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
+version = "2024.2.1+0"
+
+[[deps.InteractiveUtils]]
+deps = ["Markdown"]
+uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
+
+[[deps.Interpolations]]
+deps = ["Adapt", "AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
+git-tree-sha1 = "88a101217d7cb38a7b481ccd50d21876e1d1b0e0"
+uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
+version = "0.15.1"
+weakdeps = ["Unitful"]
+
+    [deps.Interpolations.extensions]
+    InterpolationsUnitfulExt = "Unitful"
+
+[[deps.IntervalSets]]
+git-tree-sha1 = "dba9ddf07f77f60450fe5d2e2beb9854d9a49bd0"
+uuid = "8197267c-284f-5f27-9208-e0e47529a953"
+version = "0.7.10"
+weakdeps = ["Random", "RecipesBase", "Statistics"]
+
+    [deps.IntervalSets.extensions]
+    IntervalSetsRandomExt = "Random"
+    IntervalSetsRecipesBaseExt = "RecipesBase"
+    IntervalSetsStatisticsExt = "Statistics"
+
+[[deps.InverseFunctions]]
+git-tree-sha1 = "a779299d77cd080bf77b97535acecd73e1c5e5cb"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.17"
+weakdeps = ["Dates", "Test"]
+
+    [deps.InverseFunctions.extensions]
+    InverseFunctionsDatesExt = "Dates"
+    InverseFunctionsTestExt = "Test"
+
+[[deps.InvertedIndices]]
+git-tree-sha1 = "0dc7b50b8d436461be01300fd8cd45aa0274b038"
+uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
+version = "1.3.0"
+
+[[deps.IrrationalConstants]]
+git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
+uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
+version = "0.2.2"
+
+[[deps.IterTools]]
+git-tree-sha1 = "42d5f897009e7ff2cf88db414a389e5ed1bdd023"
+uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
+version = "1.10.0"
+
+[[deps.IterableTables]]
+deps = ["DataValues", "IteratorInterfaceExtensions", "Requires", "TableTraits", "TableTraitsUtils"]
+git-tree-sha1 = "70300b876b2cebde43ebc0df42bc8c94a144e1b4"
+uuid = "1c8ee90f-4401-5389-894e-7a04a3dc0f4d"
+version = "1.0.0"
+
+[[deps.IteratorInterfaceExtensions]]
+git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
+uuid = "82899510-4779-5014-852e-03e436cf321d"
+version = "1.0.0"
+
+[[deps.JLFzf]]
+deps = ["Pipe", "REPL", "Random", "fzf_jll"]
+git-tree-sha1 = "39d64b09147620f5ffbf6b2d3255be3c901bec63"
+uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
+version = "0.1.8"
+
+[[deps.JLLWrappers]]
+deps = ["Artifacts", "Preferences"]
+git-tree-sha1 = "be3dc50a92e5a386872a493a10050136d4703f9b"
+uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
+version = "1.6.1"
+
+[[deps.JSON]]
+deps = ["Dates", "Mmap", "Parsers", "Unicode"]
+git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
+uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
+version = "0.21.4"
+
+[[deps.JpegTurbo_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "25ee0be4d43d0269027024d75a24c24d6c6e590c"
+uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
+version = "3.0.4+0"
+
+[[deps.KernelAbstractions]]
+deps = ["Adapt", "Atomix", "InteractiveUtils", "MacroTools", "PrecompileTools", "Requires", "StaticArrays", "UUIDs", "UnsafeAtomics", "UnsafeAtomicsLLVM"]
+git-tree-sha1 = "04e52f596d0871fa3890170fa79cb15e481e4cd8"
+uuid = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
+version = "0.9.28"
+
+    [deps.KernelAbstractions.extensions]
+    EnzymeExt = "EnzymeCore"
+    LinearAlgebraExt = "LinearAlgebra"
+    SparseArraysExt = "SparseArrays"
+
+    [deps.KernelAbstractions.weakdeps]
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+    LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+
+[[deps.KernelDensity]]
+deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
+git-tree-sha1 = "7d703202e65efa1369de1279c162b915e245eed1"
+uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
+version = "0.6.9"
+
+[[deps.Kronecker]]
+deps = ["LinearAlgebra", "NamedDims", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "9253429e28cceae6e823bec9ffde12460d79bb38"
+uuid = "2c470bb0-bcc8-11e8-3dad-c9649493f05e"
+version = "0.5.5"
+
+[[deps.LAME_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "170b660facf5df5de098d866564877e119141cbd"
+uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
+version = "3.100.2+0"
+
+[[deps.LBFGSB]]
+deps = ["L_BFGS_B_jll"]
+git-tree-sha1 = "e2e6f53ee20605d0ea2be473480b7480bd5091b5"
+uuid = "5be7bae1-8223-5378-bac3-9e7378a2f6e6"
+version = "0.4.1"
+
+[[deps.LERC_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
+uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
+version = "3.0.0+1"
+
+[[deps.LLVM]]
+deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Preferences", "Printf", "Requires", "Unicode"]
+git-tree-sha1 = "4ad43cb0a4bb5e5b1506e1d1f48646d7e0c80363"
+uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
+version = "9.1.2"
+
+    [deps.LLVM.extensions]
+    BFloat16sExt = "BFloat16s"
+
+    [deps.LLVM.weakdeps]
+    BFloat16s = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
+
+[[deps.LLVMExtra_jll]]
+deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"]
+git-tree-sha1 = "05a8bd5a42309a9ec82f700876903abce1017dd3"
+uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
+version = "0.0.34+0"
+
+[[deps.LLVMOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "78211fb6cbc872f77cad3fc0b6cf647d923f4929"
+uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
+version = "18.1.7+0"
+
+[[deps.LRUCache]]
+git-tree-sha1 = "b3cc6698599b10e652832c2f23db3cab99d51b59"
+uuid = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
+version = "1.6.1"
+weakdeps = ["Serialization"]
+
+    [deps.LRUCache.extensions]
+    SerializationExt = ["Serialization"]
+
+[[deps.LZO_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "854a9c268c43b77b0a27f22d7fab8d33cdb3a731"
+uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
+version = "2.10.2+1"
+
+[[deps.L_BFGS_B_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "77feda930ed3f04b2b0fbb5bea89e69d3677c6b0"
+uuid = "81d17ec3-03a1-5e46-b53e-bddc35a13473"
+version = "3.0.1+0"
+
+[[deps.LaTeXStrings]]
+git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
+uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
+version = "1.3.1"
+
+[[deps.Latexify]]
+deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
+git-tree-sha1 = "ce5f5621cac23a86011836badfedf664a612cee4"
+uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
+version = "0.16.5"
+
+    [deps.Latexify.extensions]
+    DataFramesExt = "DataFrames"
+    SparseArraysExt = "SparseArrays"
+    SymEngineExt = "SymEngine"
+
+    [deps.Latexify.weakdeps]
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+    SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"
+
+[[deps.LazyArtifacts]]
+deps = ["Artifacts", "Pkg"]
+uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
+
+[[deps.LeftChildRightSiblingTrees]]
+deps = ["AbstractTrees"]
+git-tree-sha1 = "fb6803dafae4a5d62ea5cab204b1e657d9737e7f"
+uuid = "1d6d02ad-be62-4b6b-8a6d-2f90e265016e"
+version = "0.2.0"
+
+[[deps.LibCURL]]
+deps = ["LibCURL_jll", "MozillaCACerts_jll"]
+uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
+version = "0.6.4"
+
+[[deps.LibCURL_jll]]
+deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
+uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
+version = "8.4.0+0"
+
+[[deps.LibGit2]]
+deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
+uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
+
+[[deps.LibGit2_jll]]
+deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
+uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
+version = "1.6.4+0"
+
+[[deps.LibSSH2_jll]]
+deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
+uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
+version = "1.11.0+1"
+
+[[deps.Libdl]]
+uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
+
+[[deps.Libepoxy_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libX11_jll"]
+git-tree-sha1 = "7a0158b71f8be5c771e7a273183b2d0ac35278c5"
+uuid = "42c93a91-0102-5b3f-8f9d-e41de60ac950"
+version = "1.5.10+0"
+
+[[deps.Libffi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
+uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
+version = "3.2.2+1"
+
+[[deps.Libgcrypt_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll"]
+git-tree-sha1 = "9fd170c4bbfd8b935fdc5f8b7aa33532c991a673"
+uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
+version = "1.8.11+0"
+
+[[deps.Libglvnd_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
+git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733"
+uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
+version = "1.6.0+0"
+
+[[deps.Libgpg_error_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "fbb1f2bef882392312feb1ede3615ddc1e9b99ed"
+uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
+version = "1.49.0+0"
+
+[[deps.Libiconv_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "f9557a255370125b405568f9767d6d195822a175"
+uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
+version = "1.17.0+0"
+
+[[deps.Libmount_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "0c4f9c4f1a50d8f35048fa0532dabbadf702f81e"
+uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
+version = "2.40.1+0"
+
+[[deps.Librsvg_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pango_jll", "Pkg", "gdk_pixbuf_jll"]
+git-tree-sha1 = "ae0923dab7324e6bc980834f709c4cd83dd797ed"
+uuid = "925c91fb-5dd6-59dd-8e8c-345e74382d89"
+version = "2.54.5+0"
+
+[[deps.Libtask]]
+deps = ["FunctionWrappers", "LRUCache", "LinearAlgebra", "Statistics"]
+git-tree-sha1 = "ed1f362b3fd13f00b65e61d98669c652c17663ab"
+uuid = "6f1fad26-d15e-5dc8-ae53-837a1d7b8c9f"
+version = "0.8.7"
+
+[[deps.Libtiff_jll]]
+deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
+git-tree-sha1 = "2da088d113af58221c52828a80378e16be7d037a"
+uuid = "89763e89-9b03-5906-acba-b20f662cd828"
+version = "4.5.1+1"
+
+[[deps.Libuuid_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "5ee6203157c120d79034c748a2acba45b82b8807"
+uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
+version = "2.40.1+0"
+
+[[deps.LineSearches]]
+deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
+git-tree-sha1 = "e4c3be53733db1051cc15ecf573b1042b3a712a1"
+uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
+version = "7.3.0"
+
+[[deps.LinearAlgebra]]
+deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
+uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+
+[[deps.LinearMaps]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "ee79c3208e55786de58f8dcccca098ced79f743f"
+uuid = "7a12625a-238d-50fd-b39a-03d52299707e"
+version = "3.11.3"
+weakdeps = ["ChainRulesCore", "SparseArrays", "Statistics"]
+
+    [deps.LinearMaps.extensions]
+    LinearMapsChainRulesCoreExt = "ChainRulesCore"
+    LinearMapsSparseArraysExt = "SparseArrays"
+    LinearMapsStatisticsExt = "Statistics"
+
+[[deps.LogDensityProblems]]
+deps = ["ArgCheck", "DocStringExtensions", "Random"]
+git-tree-sha1 = "4e0128c1590d23a50dcdb106c7e2dbca99df85c0"
+uuid = "6fdf6af0-433a-55f7-b3ed-c6c6e0b8df7c"
+version = "2.1.2"
+
+[[deps.LogDensityProblemsAD]]
+deps = ["DocStringExtensions", "LogDensityProblems"]
+git-tree-sha1 = "3092250f021aca6d3e24036019cbb24c0c5d89df"
+uuid = "996a588d-648d-4e1f-a8f0-a84b347e47b1"
+version = "1.11.0"
+
+    [deps.LogDensityProblemsAD.extensions]
+    LogDensityProblemsADADTypesExt = "ADTypes"
+    LogDensityProblemsADEnzymeExt = "Enzyme"
+    LogDensityProblemsADFiniteDifferencesExt = "FiniteDifferences"
+    LogDensityProblemsADForwardDiffBenchmarkToolsExt = ["BenchmarkTools", "ForwardDiff"]
+    LogDensityProblemsADForwardDiffExt = "ForwardDiff"
+    LogDensityProblemsADReverseDiffExt = "ReverseDiff"
+    LogDensityProblemsADTrackerExt = "Tracker"
+    LogDensityProblemsADZygoteExt = "Zygote"
+
+    [deps.LogDensityProblemsAD.weakdeps]
+    ADTypes = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
+    BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.LogExpFunctions]]
+deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "a2d09619db4e765091ee5c6ffe8872849de0feea"
+uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+version = "0.3.28"
+weakdeps = ["ChainRulesCore", "ChangesOfVariables", "InverseFunctions"]
+
+    [deps.LogExpFunctions.extensions]
+    LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
+    LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables"
+    LogExpFunctionsInverseFunctionsExt = "InverseFunctions"
+
+[[deps.Logging]]
+uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
+
+[[deps.LoggingExtras]]
+deps = ["Dates", "Logging"]
+git-tree-sha1 = "c1dd6d7978c12545b4179fb6153b9250c96b0075"
+uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
+version = "1.0.3"
+
+[[deps.MCMCChains]]
+deps = ["AbstractMCMC", "AxisArrays", "Dates", "Distributions", "IteratorInterfaceExtensions", "KernelDensity", "LinearAlgebra", "MCMCDiagnosticTools", "MLJModelInterface", "NaturalSort", "OrderedCollections", "PrettyTables", "Random", "RecipesBase", "Statistics", "StatsBase", "StatsFuns", "TableTraits", "Tables"]
+git-tree-sha1 = "d28056379864318172ff4b7958710cfddd709339"
+uuid = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
+version = "6.0.6"
+
+[[deps.MCMCDiagnosticTools]]
+deps = ["AbstractFFTs", "DataAPI", "DataStructures", "Distributions", "LinearAlgebra", "MLJModelInterface", "Random", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Tables"]
+git-tree-sha1 = "8ba8b1840d3ab5b38e7c71c23c3193bb5cbc02b5"
+uuid = "be115224-59cd-429b-ad48-344e309966f0"
+version = "0.3.10"
+
+[[deps.MKL_jll]]
+deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "oneTBB_jll"]
+git-tree-sha1 = "f046ccd0c6db2832a9f639e2c669c6fe867e5f4f"
+uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
+version = "2024.2.0+0"
+
+[[deps.MLJModelInterface]]
+deps = ["Random", "ScientificTypesBase", "StatisticalTraits"]
+git-tree-sha1 = "ceaff6618408d0e412619321ae43b33b40c1a733"
+uuid = "e80e1ace-859a-464e-9ed9-23947d8ae3ea"
+version = "1.11.0"
+
+[[deps.MLStyle]]
+git-tree-sha1 = "bc38dff0548128765760c79eb7388a4b37fae2c8"
+uuid = "d8e11817-5142-5d16-987a-aa16d5891078"
+version = "0.4.17"
+
+[[deps.MacroTools]]
+deps = ["Markdown", "Random"]
+git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
+uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
+version = "0.5.13"
+
+[[deps.ManifoldDiff]]
+deps = ["LinearAlgebra", "ManifoldsBase", "Markdown", "Random", "Requires"]
+git-tree-sha1 = "62fccd67f9fb83526bff40a1432f63464eb6d282"
+uuid = "af67fdf4-a580-4b9f-bbec-742ef357defd"
+version = "0.3.12"
+
+    [deps.ManifoldDiff.extensions]
+    ManifoldDiffFiniteDiffExt = "FiniteDiff"
+    ManifoldDiffFiniteDifferencesExt = "FiniteDifferences"
+    ManifoldDiffForwardDiffExt = "ForwardDiff"
+    ManifoldDiffReverseDiffExt = "ReverseDiff"
+    ManifoldDiffZygoteExt = "Zygote"
+
+    [deps.ManifoldDiff.weakdeps]
+    FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41"
+    FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.Manifolds]]
+deps = ["Distributions", "Einsum", "Graphs", "HybridArrays", "Kronecker", "LinearAlgebra", "ManifoldDiff", "ManifoldsBase", "Markdown", "MatrixEquations", "Quaternions", "Random", "RecursiveArrayTools", "Requires", "SimpleWeightedGraphs", "SpecialFunctions", "StaticArrays", "Statistics", "StatsBase"]
+git-tree-sha1 = "58eb09899273a3ed17aae1f56435f440669b810c"
+uuid = "1cead3c2-87b3-11e9-0ccd-23c62b72b94e"
+version = "0.9.20"
+
+    [deps.Manifolds.extensions]
+    ManifoldsBoundaryValueDiffEqExt = "BoundaryValueDiffEq"
+    ManifoldsNLsolveExt = "NLsolve"
+    ManifoldsOrdinaryDiffEqDiffEqCallbacksExt = ["DiffEqCallbacks", "OrdinaryDiffEq"]
+    ManifoldsOrdinaryDiffEqExt = "OrdinaryDiffEq"
+    ManifoldsRecipesBaseExt = ["Colors", "RecipesBase"]
+    ManifoldsTestExt = "Test"
+
+    [deps.Manifolds.weakdeps]
+    BoundaryValueDiffEq = "764a87c0-6b3e-53db-9096-fe964310641d"
+    Colors = "5ae59095-9a9b-59fe-a467-6f913c188581"
+    DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def"
+    NLsolve = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
+    OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+    RecipesBase = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+
+[[deps.ManifoldsBase]]
+deps = ["LinearAlgebra", "Markdown", "Printf", "Random", "Requires"]
+git-tree-sha1 = "4259c5f29dbe9d7441ec0f5ce31c2a6895285495"
+uuid = "3362f125-f0bb-47a3-aa74-596ffd7ef2fb"
+version = "0.15.17"
+weakdeps = ["Plots", "Quaternions", "RecursiveArrayTools", "Statistics"]
+
+    [deps.ManifoldsBase.extensions]
+    ManifoldsBasePlotsExt = "Plots"
+    ManifoldsBaseQuaternionsExt = "Quaternions"
+    ManifoldsBaseRecursiveArrayToolsExt = "RecursiveArrayTools"
+    ManifoldsBaseStatisticsExt = "Statistics"
+
+[[deps.MappedArrays]]
+git-tree-sha1 = "2dab0221fe2b0f2cb6754eaa743cc266339f527e"
+uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
+version = "0.4.2"
+
+[[deps.Markdown]]
+deps = ["Base64"]
+uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
+
+[[deps.MatrixEquations]]
+deps = ["LinearAlgebra", "LinearMaps"]
+git-tree-sha1 = "f765b4eda3ea9be8e644b9127809ca5151f3d9ea"
+uuid = "99c1a7ee-ab34-5fd5-8076-27c950a045f4"
+version = "2.4.2"
+
+[[deps.MbedTLS]]
+deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
+git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf"
+uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
+version = "1.1.9"
+
+[[deps.MbedTLS_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
+version = "2.28.2+1"
+
+[[deps.Measures]]
+git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
+uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
+version = "0.3.2"
+
+[[deps.MethodAnalysis]]
+deps = ["AbstractTrees"]
+git-tree-sha1 = "c2ee9b8f036c951f9ed0a47503a7f7dc0905b256"
+uuid = "85b6ec6f-f7df-4429-9514-a64bcd9ee824"
+version = "0.4.13"
+
+[[deps.MicroCollections]]
+deps = ["Accessors", "BangBang", "InitialValues"]
+git-tree-sha1 = "44d32db644e84c75dab479f1bc15ee76a1a3618f"
+uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
+version = "0.2.0"
+
+[[deps.Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "ec4f7fbeab05d7747bdf98eb74d130a2a2ed298d"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.2.0"
+
+[[deps.Mmap]]
+uuid = "a63ad114-7e13-5084-954f-fe012c677804"
+
+[[deps.MozillaCACerts_jll]]
+uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
+version = "2023.1.10"
+
+[[deps.MultivariatePolynomials]]
+deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
+git-tree-sha1 = "8d39779e29f80aa6c071e7ac17101c6e31f075d7"
+uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
+version = "0.5.7"
+
+[[deps.MutableArithmetics]]
+deps = ["LinearAlgebra", "SparseArrays", "Test"]
+git-tree-sha1 = "7768a4e5f2b372777a90c1758809333081a096a8"
+uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+version = "1.5.1"
+
+[[deps.NLSolversBase]]
+deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
+git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c"
+uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
+version = "7.8.3"
+
+[[deps.NLopt]]
+deps = ["CEnum", "NLopt_jll"]
+git-tree-sha1 = "81a321298aed95631447a1f3afc2ea83682d44a4"
+uuid = "76087f3c-5699-56af-9a33-bf431cd00edd"
+version = "1.1.1"
+
+    [deps.NLopt.extensions]
+    NLoptMathOptInterfaceExt = ["MathOptInterface"]
+
+    [deps.NLopt.weakdeps]
+    MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+
+[[deps.NLopt_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "3d1eefa627faeabc59ab9edbf00d17f70123ad69"
+uuid = "079eb43e-fd8e-5478-9966-2cf3e3edb778"
+version = "2.8.0+0"
+
+[[deps.NNlib]]
+deps = ["Adapt", "Atomix", "ChainRulesCore", "GPUArraysCore", "KernelAbstractions", "LinearAlgebra", "Random", "Statistics"]
+git-tree-sha1 = "da09a1e112fd75f9af2a5229323f01b56ec96a4c"
+uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
+version = "0.9.24"
+
+    [deps.NNlib.extensions]
+    NNlibAMDGPUExt = "AMDGPU"
+    NNlibCUDACUDNNExt = ["CUDA", "cuDNN"]
+    NNlibCUDAExt = "CUDA"
+    NNlibEnzymeCoreExt = "EnzymeCore"
+    NNlibFFTWExt = "FFTW"
+    NNlibForwardDiffExt = "ForwardDiff"
+
+    [deps.NNlib.weakdeps]
+    AMDGPU = "21141c5a-9bdb-4563-92ae-f87d6854732e"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+    FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    cuDNN = "02a925ec-e4fe-4b08-9a7e-0d78e3d38ccd"
+
+[[deps.NaNMath]]
+deps = ["OpenLibm_jll"]
+git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
+uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
+version = "1.0.2"
+
+[[deps.NamedArrays]]
+deps = ["Combinatorics", "DataStructures", "DelimitedFiles", "InvertedIndices", "LinearAlgebra", "Random", "Requires", "SparseArrays", "Statistics"]
+git-tree-sha1 = "58e317b3b956b8aaddfd33ff4c3e33199cd8efce"
+uuid = "86f7a689-2022-50b4-a561-43c23ac3c673"
+version = "0.10.3"
+
+[[deps.NamedDims]]
+deps = ["LinearAlgebra", "Pkg", "Statistics"]
+git-tree-sha1 = "90178dc801073728b8b2d0d8677d10909feb94d8"
+uuid = "356022a1-0364-5f58-8944-0da4b18d706f"
+version = "1.2.2"
+
+    [deps.NamedDims.extensions]
+    AbstractFFTsExt = "AbstractFFTs"
+    ChainRulesCoreExt = "ChainRulesCore"
+    CovarianceEstimationExt = "CovarianceEstimation"
+    TrackerExt = "Tracker"
+
+    [deps.NamedDims.weakdeps]
+    AbstractFFTs = "621f4979-c628-5d54-868e-fcf4e3e8185c"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    CovarianceEstimation = "587fd27a-f159-11e8-2dae-1979310e6154"
+    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
+[[deps.NaturalSort]]
+git-tree-sha1 = "eda490d06b9f7c00752ee81cfa451efe55521e21"
+uuid = "c020b1a1-e9b0-503a-9c33-f039bfc54a85"
+version = "1.0.0"
+
+[[deps.NetworkOptions]]
+uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
+version = "1.2.0"
+
+[[deps.Observables]]
+git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225"
+uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
+version = "0.5.5"
+
+[[deps.OffsetArrays]]
+git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e"
+uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
+version = "1.14.1"
+weakdeps = ["Adapt"]
+
+    [deps.OffsetArrays.extensions]
+    OffsetArraysAdaptExt = "Adapt"
+
+[[deps.Ogg_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
+uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
+version = "1.3.5+1"
+
+[[deps.OpenBLAS_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
+uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
+version = "0.3.23+4"
+
+[[deps.OpenLibm_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
+version = "0.8.1+2"
+
+[[deps.OpenSSL]]
+deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
+git-tree-sha1 = "38cb508d080d21dc1128f7fb04f20387ed4c0af4"
+uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
+version = "1.4.3"
+
+[[deps.OpenSSL_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "7493f61f55a6cce7325f197443aa80d32554ba10"
+uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
+version = "3.0.15+1"
+
+[[deps.OpenSpecFun_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
+uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
+version = "0.5.5+0"
+
+[[deps.Optim]]
+deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "d9b79c4eed437421ac4285148fcadf42e0700e89"
+uuid = "429524aa-4258-5aef-a3af-852621145aeb"
+version = "1.9.4"
+
+    [deps.Optim.extensions]
+    OptimMOIExt = "MathOptInterface"
+
+    [deps.Optim.weakdeps]
+    MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+
+[[deps.Optimisers]]
+deps = ["ChainRulesCore", "Functors", "LinearAlgebra", "Random", "Statistics"]
+git-tree-sha1 = "6572fe0c5b74431aaeb0b18a4aa5ef03c84678be"
+uuid = "3bd65402-5787-11e9-1adc-39752487f4e2"
+version = "0.3.3"
+
+[[deps.Optimization]]
+deps = ["ADTypes", "ArrayInterface", "ConsoleProgressMonitor", "DocStringExtensions", "LBFGSB", "LinearAlgebra", "Logging", "LoggingExtras", "OptimizationBase", "Printf", "ProgressLogging", "Reexport", "SciMLBase", "SparseArrays", "TerminalLoggers"]
+git-tree-sha1 = "0b2a631276dc92ab147535689fa43f1e22a657b8"
+uuid = "7f7a1694-90dd-40f0-9382-eb1efda571ba"
+version = "3.28.0"
+
+[[deps.OptimizationBase]]
+deps = ["ADTypes", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "PDMats", "Reexport", "Requires", "SciMLBase", "SparseArrays", "SymbolicAnalysis", "SymbolicIndexingInterface", "Symbolics"]
+git-tree-sha1 = "3e5e5e8cbe572200dcd94a6084a63ca68fe76279"
+uuid = "bca83a33-5cc9-4baa-983d-23429ab6bcbb"
+version = "1.5.0"
+
+    [deps.OptimizationBase.extensions]
+    OptimizationEnzymeExt = "Enzyme"
+    OptimizationFiniteDiffExt = "FiniteDiff"
+    OptimizationForwardDiffExt = "ForwardDiff"
+    OptimizationMTKExt = "ModelingToolkit"
+    OptimizationReverseDiffExt = "ReverseDiff"
+    OptimizationSparseDiffExt = ["SparseDiffTools", "ReverseDiff"]
+    OptimizationTrackerExt = "Tracker"
+    OptimizationZygoteExt = "Zygote"
+
+    [deps.OptimizationBase.weakdeps]
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    SparseDiffTools = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.OptimizationOptimJL]]
+deps = ["Optim", "Optimization", "Reexport", "SparseArrays"]
+git-tree-sha1 = "43870d726f883a47d158beebb1fc3c9fab1da9d6"
+uuid = "36348300-93cb-4f02-beb5-3c3902f8871e"
+version = "0.3.2"
+
+[[deps.Opus_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6703a85cb3781bd5909d48730a67205f3f31a575"
+uuid = "91d4177d-7536-5919-b921-800302f37372"
+version = "1.3.3+0"
+
+[[deps.OrderedCollections]]
+git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.6.3"
+
+[[deps.PCRE2_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
+version = "10.42.0+1"
+
+[[deps.PDMats]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
+uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
+version = "0.11.31"
+
+[[deps.Pango_jll]]
+deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "e127b609fb9ecba6f201ba7ab753d5a605d53801"
+uuid = "36c8627f-9965-5494-a995-c6b170f724f3"
+version = "1.54.1+0"
+
+[[deps.Parameters]]
+deps = ["OrderedCollections", "UnPack"]
+git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe"
+uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
+version = "0.12.3"
+
+[[deps.ParserCombinator]]
+deps = ["AutoHashEquals", "Printf"]
+git-tree-sha1 = "5f2ab6899c7a056d475194d03393299e61a0425c"
+uuid = "fae87a5f-d1ad-5cf0-8f61-c941e1580b46"
+version = "2.2.1"
+
+[[deps.Parsers]]
+deps = ["Dates", "PrecompileTools", "UUIDs"]
+git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821"
+uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
+version = "2.8.1"
+
+[[deps.Phylo]]
+deps = ["AxisArrays", "DataFrames", "DataStructures", "Distances", "Distributions", "DynamicPPL", "ForwardDiff", "Graphs", "IterableTables", "LinearAlgebra", "Missings", "Optim", "ParserCombinator", "Printf", "Random", "RecipesBase", "SimpleTraits", "StaticArrays", "Statistics", "Tokenize", "Unitful"]
+path = "/Users/richardr/Documents/git/julia/Phylo"
+uuid = "aea672f4-3940-5932-aa44-993d1c3ff149"
+version = "0.6.0"
+weakdeps = ["Plots", "RCall", "Requires"]
+
+    [deps.Phylo.extensions]
+    PhyloRCallExt = "RCall"
+
+[[deps.PhyloNetworks]]
+deps = ["BioSequences", "BioSymbols", "CSV", "Combinatorics", "DataFrames", "DataStructures", "Dates", "Distributed", "Distributions", "FASTX", "Functors", "GLM", "LinearAlgebra", "NLopt", "Printf", "Random", "StaticArrays", "Statistics", "StatsBase", "StatsFuns", "StatsModels"]
+git-tree-sha1 = "66c2a637bd4d4e7064b60c0e5a0e6db2db3116a1"
+uuid = "33ad39ac-ed31-50eb-9b15-43d0656eaa72"
+version = "0.16.4"
+
+[[deps.Pipe]]
+git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
+uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
+version = "1.3.0"
+
+[[deps.Pixman_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
+git-tree-sha1 = "35621f10a7531bc8fa58f74610b1bfb70a3cfc6b"
+uuid = "30392449-352a-5448-841d-b1acce4e97dc"
+version = "0.43.4+0"
+
+[[deps.Pkg]]
+deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
+version = "1.10.0"
+
+[[deps.PlotThemes]]
+deps = ["PlotUtils", "Statistics"]
+git-tree-sha1 = "6e55c6841ce3411ccb3457ee52fc48cb698d6fb0"
+uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
+version = "3.2.0"
+
+[[deps.PlotUtils]]
+deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
+git-tree-sha1 = "7b1a9df27f072ac4c9c7cbe5efb198489258d1f5"
+uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
+version = "1.4.1"
+
+[[deps.Plots]]
+deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
+git-tree-sha1 = "45470145863035bb124ca51b320ed35d071cc6c2"
+uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
+version = "1.40.8"
+
+    [deps.Plots.extensions]
+    FileIOExt = "FileIO"
+    GeometryBasicsExt = "GeometryBasics"
+    IJuliaExt = "IJulia"
+    ImageInTerminalExt = "ImageInTerminal"
+    UnitfulExt = "Unitful"
+
+    [deps.Plots.weakdeps]
+    FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
+    GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
+    IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
+    ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
+
+[[deps.Polynomials]]
+deps = ["LinearAlgebra", "RecipesBase", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "1a9cfb2dc2c2f1bd63f1906d72af39a79b49b736"
+uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
+version = "4.0.11"
+
+    [deps.Polynomials.extensions]
+    PolynomialsChainRulesCoreExt = "ChainRulesCore"
+    PolynomialsFFTWExt = "FFTW"
+    PolynomialsMakieCoreExt = "MakieCore"
+    PolynomialsMutableArithmeticsExt = "MutableArithmetics"
+
+    [deps.Polynomials.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+    MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
+    MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+
+[[deps.PooledArrays]]
+deps = ["DataAPI", "Future"]
+git-tree-sha1 = "36d8b4b899628fb92c2749eb488d884a926614d3"
+uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720"
+version = "1.4.3"
+
+[[deps.PositiveFactorizations]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20"
+uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
+version = "0.2.4"
+
+[[deps.PrecompileTools]]
+deps = ["Preferences"]
+git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f"
+uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
+version = "1.2.1"
+
+[[deps.Preferences]]
+deps = ["TOML"]
+git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
+uuid = "21216c6a-2e73-6563-6e65-726566657250"
+version = "1.4.3"
+
+[[deps.PrettyTables]]
+deps = ["Crayons", "LaTeXStrings", "Markdown", "PrecompileTools", "Printf", "Reexport", "StringManipulation", "Tables"]
+git-tree-sha1 = "1101cd475833706e4d0e7b122218257178f48f34"
+uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
+version = "2.4.0"
+
+[[deps.Primes]]
+deps = ["IntegerMathUtils"]
+git-tree-sha1 = "cb420f77dc474d23ee47ca8d14c90810cafe69e7"
+uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
+version = "0.5.6"
+
+[[deps.Printf]]
+deps = ["Unicode"]
+uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
+
+[[deps.Profile]]
+deps = ["Printf"]
+uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
+
+[[deps.ProfileView]]
+deps = ["Cairo", "Colors", "Dates", "FileIO", "FlameGraphs", "Graphics", "Gtk4", "GtkObservables", "InteractiveUtils", "IntervalSets", "MethodAnalysis", "PrecompileTools", "Preferences", "Profile", "Requires", "UUIDs"]
+git-tree-sha1 = "be86543228837e0775a6677ba42db90baf689c66"
+uuid = "c46f51b8-102a-5cf2-8d2c-8597cb0e0da7"
+version = "1.8.0"
+
+[[deps.ProgressLogging]]
+deps = ["Logging", "SHA", "UUIDs"]
+git-tree-sha1 = "80d919dee55b9c50e8d9e2da5eeafff3fe58b539"
+uuid = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
+version = "0.1.4"
+
+[[deps.ProgressMeter]]
+deps = ["Distributed", "Printf"]
+git-tree-sha1 = "8f6bc219586aef8baf0ff9a5fe16ee9c70cb65e4"
+uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
+version = "1.10.2"
+
+[[deps.PtrArrays]]
+git-tree-sha1 = "77a42d78b6a92df47ab37e177b2deac405e1c88f"
+uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d"
+version = "1.2.1"
+
+[[deps.Qt6Base_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Vulkan_Loader_jll", "Xorg_libSM_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_cursor_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "libinput_jll", "xkbcommon_jll"]
+git-tree-sha1 = "492601870742dcd38f233b23c3ec629628c1d724"
+uuid = "c0090381-4147-56d7-9ebc-da0b1113ec56"
+version = "6.7.1+1"
+
+[[deps.Qt6Declarative_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll", "Qt6ShaderTools_jll"]
+git-tree-sha1 = "e5dd466bf2569fe08c91a2cc29c1003f4797ac3b"
+uuid = "629bc702-f1f5-5709-abd5-49b8460ea067"
+version = "6.7.1+2"
+
+[[deps.Qt6ShaderTools_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll"]
+git-tree-sha1 = "1a180aeced866700d4bebc3120ea1451201f16bc"
+uuid = "ce943373-25bb-56aa-8eca-768745ed7b5a"
+version = "6.7.1+1"
+
+[[deps.Qt6Wayland_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll", "Qt6Declarative_jll"]
+git-tree-sha1 = "729927532d48cf79f49070341e1d918a65aba6b0"
+uuid = "e99dba38-086e-5de3-a5b1-6e4c66e897c3"
+version = "6.7.1+1"
+
+[[deps.QuadGK]]
+deps = ["DataStructures", "LinearAlgebra"]
+git-tree-sha1 = "cda3b045cf9ef07a08ad46731f5a3165e56cf3da"
+uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
+version = "2.11.1"
+
+    [deps.QuadGK.extensions]
+    QuadGKEnzymeExt = "Enzyme"
+
+    [deps.QuadGK.weakdeps]
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+
+[[deps.Quaternions]]
+deps = ["LinearAlgebra", "Random", "RealDot"]
+git-tree-sha1 = "994cc27cdacca10e68feb291673ec3a76aa2fae9"
+uuid = "94ee1d12-ae83-5a48-8b1c-48b8ff168ae0"
+version = "0.7.6"
+
+[[deps.RCall]]
+deps = ["CategoricalArrays", "Conda", "DataFrames", "DataStructures", "Dates", "Libdl", "Preferences", "REPL", "Random", "Requires", "StatsModels", "WinReg"]
+git-tree-sha1 = "db17ec90d9f904b79e7877a764fdf95ff5c5f315"
+uuid = "6f49c342-dc21-5d91-9882-a32aef131414"
+version = "0.14.6"
+
+[[deps.REPL]]
+deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
+uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
+
+[[deps.Random]]
+deps = ["SHA"]
+uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+
+[[deps.Random123]]
+deps = ["Random", "RandomNumbers"]
+git-tree-sha1 = "4743b43e5a9c4a2ede372de7061eed81795b12e7"
+uuid = "74087812-796a-5b5d-8853-05524746bad3"
+version = "1.7.0"
+
+[[deps.RandomNumbers]]
+deps = ["Random"]
+git-tree-sha1 = "c6ec94d2aaba1ab2ff983052cf6a606ca5985902"
+uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
+version = "1.6.0"
+
+[[deps.RangeArrays]]
+git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
+uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d"
+version = "0.3.2"
+
+[[deps.Ratios]]
+deps = ["Requires"]
+git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b"
+uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
+version = "0.4.5"
+weakdeps = ["FixedPointNumbers"]
+
+    [deps.Ratios.extensions]
+    RatiosFixedPointNumbersExt = "FixedPointNumbers"
+
+[[deps.RealDot]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
+uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
+version = "0.1.0"
+
+[[deps.RecipesBase]]
+deps = ["PrecompileTools"]
+git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
+uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+version = "1.3.4"
+
+[[deps.RecipesPipeline]]
+deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
+git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
+uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
+version = "0.6.12"
+
+[[deps.RecursiveArrayTools]]
+deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "b034171b93aebc81b3e1890a036d13a9c4a9e3e0"
+uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
+version = "3.27.0"
+
+    [deps.RecursiveArrayTools.extensions]
+    RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
+    RecursiveArrayToolsForwardDiffExt = "ForwardDiff"
+    RecursiveArrayToolsMeasurementsExt = "Measurements"
+    RecursiveArrayToolsMonteCarloMeasurementsExt = "MonteCarloMeasurements"
+    RecursiveArrayToolsReverseDiffExt = ["ReverseDiff", "Zygote"]
+    RecursiveArrayToolsSparseArraysExt = ["SparseArrays"]
+    RecursiveArrayToolsTrackerExt = "Tracker"
+    RecursiveArrayToolsZygoteExt = "Zygote"
+
+    [deps.RecursiveArrayTools.weakdeps]
+    FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.Reexport]]
+git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.2.2"
+
+[[deps.RelocatableFolders]]
+deps = ["SHA", "Scratch"]
+git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864"
+uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
+version = "1.0.1"
+
+[[deps.Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.3.0"
+
+[[deps.Rmath]]
+deps = ["Random", "Rmath_jll"]
+git-tree-sha1 = "852bd0f55565a9e973fcfee83a84413270224dc4"
+uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
+version = "0.8.0"
+
+[[deps.Rmath_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "58cdd8fb2201a6267e1db87ff148dd6c1dbd8ad8"
+uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
+version = "0.5.1+0"
+
+[[deps.Roots]]
+deps = ["Accessors", "CommonSolve", "Printf"]
+git-tree-sha1 = "3a7c7e5c3f015415637f5debdf8a674aa2c979c4"
+uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
+version = "2.2.1"
+
+    [deps.Roots.extensions]
+    RootsChainRulesCoreExt = "ChainRulesCore"
+    RootsForwardDiffExt = "ForwardDiff"
+    RootsIntervalRootFindingExt = "IntervalRootFinding"
+    RootsSymPyExt = "SymPy"
+    RootsSymPyPythonCallExt = "SymPyPythonCall"
+
+    [deps.Roots.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    IntervalRootFinding = "d2bf35a9-74e0-55ec-b149-d360ff49b807"
+    SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"
+    SymPyPythonCall = "bc8888f7-b21e-4b7c-a06a-5d9c9496438c"
+
+[[deps.RoundingIntegers]]
+git-tree-sha1 = "99acd97f396ea71a5be06ba6de5c9defe188a778"
+uuid = "d5f540fe-1c90-5db3-b776-2e2f362d9394"
+version = "1.1.0"
+
+[[deps.RuntimeGeneratedFunctions]]
+deps = ["ExprTools", "SHA", "Serialization"]
+git-tree-sha1 = "04c968137612c4a5629fa531334bb81ad5680f00"
+uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
+version = "0.5.13"
+
+[[deps.SHA]]
+uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
+version = "0.7.0"
+
+[[deps.SSMProblems]]
+deps = ["AbstractMCMC"]
+git-tree-sha1 = "f640e4e8343c9d5f470e2f6ca6ce79f708ab6376"
+uuid = "26aad666-b158-4e64-9d35-0e672562fa48"
+version = "0.1.1"
+
+[[deps.SciMLBase]]
+deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "50ed64cd5ad79b0bef71fdb6a11d10c3448bfef0"
+uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
+version = "2.56.1"
+
+    [deps.SciMLBase.extensions]
+    SciMLBaseChainRulesCoreExt = "ChainRulesCore"
+    SciMLBaseMakieExt = "Makie"
+    SciMLBasePartialFunctionsExt = "PartialFunctions"
+    SciMLBasePyCallExt = "PyCall"
+    SciMLBasePythonCallExt = "PythonCall"
+    SciMLBaseRCallExt = "RCall"
+    SciMLBaseZygoteExt = "Zygote"
+
+    [deps.SciMLBase.weakdeps]
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
+    PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b"
+    PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
+    PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
+    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
+[[deps.SciMLOperators]]
+deps = ["Accessors", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools"]
+git-tree-sha1 = "e39c5f217f9aca640c8e27ab21acf557a3967db5"
+uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
+version = "0.3.10"
+weakdeps = ["SparseArrays", "StaticArraysCore"]
+
+    [deps.SciMLOperators.extensions]
+    SciMLOperatorsSparseArraysExt = "SparseArrays"
+    SciMLOperatorsStaticArraysCoreExt = "StaticArraysCore"
+
+[[deps.SciMLStructures]]
+deps = ["ArrayInterface"]
+git-tree-sha1 = "25514a6f200219cd1073e4ff23a6324e4a7efe64"
+uuid = "53ae85a6-f571-4167-b2af-e1d143709226"
+version = "1.5.0"
+
+[[deps.ScientificTypesBase]]
+git-tree-sha1 = "a8e18eb383b5ecf1b5e6fc237eb39255044fd92b"
+uuid = "30f210dd-8aff-4c5f-94ba-8e64358c1161"
+version = "3.0.0"
+
+[[deps.Scratch]]
+deps = ["Dates"]
+git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386"
+uuid = "6c6a2e73-6563-6170-7368-637461726353"
+version = "1.2.1"
+
+[[deps.SentinelArrays]]
+deps = ["Dates", "Random"]
+git-tree-sha1 = "ff11acffdb082493657550959d4feb4b6149e73a"
+uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
+version = "1.4.5"
+
+[[deps.Serialization]]
+uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
+
+[[deps.Setfield]]
+deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
+git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
+uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
+version = "1.1.1"
+
+[[deps.SharedArrays]]
+deps = ["Distributed", "Mmap", "Random", "Serialization"]
+uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
+
+[[deps.ShiftedArrays]]
+git-tree-sha1 = "503688b59397b3307443af35cd953a13e8005c16"
+uuid = "1277b4bf-5013-50f5-be3d-901d8477a67a"
+version = "2.0.0"
+
+[[deps.Showoff]]
+deps = ["Dates", "Grisu"]
+git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
+uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
+version = "1.0.3"
+
+[[deps.SimpleBufferStream]]
+git-tree-sha1 = "f305871d2f381d21527c770d4788c06c097c9bc1"
+uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
+version = "1.2.0"
+
+[[deps.SimpleTraits]]
+deps = ["InteractiveUtils", "MacroTools"]
+git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
+uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
+version = "0.9.4"
+
+[[deps.SimpleUnPack]]
+git-tree-sha1 = "58e6353e72cde29b90a69527e56df1b5c3d8c437"
+uuid = "ce78b400-467f-4804-87d8-8f486da07d0a"
+version = "1.1.0"
+
+[[deps.SimpleWeightedGraphs]]
+deps = ["Graphs", "LinearAlgebra", "Markdown", "SparseArrays"]
+git-tree-sha1 = "4b33e0e081a825dbfaf314decf58fa47e53d6acb"
+uuid = "47aef6b3-ad0c-573a-a1e2-d07658019622"
+version = "1.4.0"
+
+[[deps.Sockets]]
+uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
+
+[[deps.SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.2.1"
+
+[[deps.SparseArrays]]
+deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
+uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+version = "1.10.0"
+
+[[deps.SparseInverseSubset]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "52962839426b75b3021296f7df242e40ecfc0852"
+uuid = "dc90abb0-5640-4711-901d-7e5b23a2fada"
+version = "0.1.2"
+
+[[deps.SpecialFunctions]]
+deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
+git-tree-sha1 = "2f5d4697f21388cbe1ff299430dd169ef97d7e14"
+uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
+version = "2.4.0"
+weakdeps = ["ChainRulesCore"]
+
+    [deps.SpecialFunctions.extensions]
+    SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
+
+[[deps.SplittablesBase]]
+deps = ["Setfield", "Test"]
+git-tree-sha1 = "e08a62abc517eb79667d0a29dc08a3b589516bb5"
+uuid = "171d559e-b47b-412a-8079-5efa626c420e"
+version = "0.1.15"
+
+[[deps.StaticArrays]]
+deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
+git-tree-sha1 = "eeafab08ae20c62c44c8399ccb9354a04b80db50"
+uuid = "90137ffa-7385-5640-81b9-e52037218182"
+version = "1.9.7"
+weakdeps = ["ChainRulesCore", "Statistics"]
+
+    [deps.StaticArrays.extensions]
+    StaticArraysChainRulesCoreExt = "ChainRulesCore"
+    StaticArraysStatisticsExt = "Statistics"
+
+[[deps.StaticArraysCore]]
+git-tree-sha1 = "192954ef1208c7019899fbf8049e717f92959682"
+uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+version = "1.4.3"
+
+[[deps.StatisticalTraits]]
+deps = ["ScientificTypesBase"]
+git-tree-sha1 = "542d979f6e756f13f862aa00b224f04f9e445f11"
+uuid = "64bff920-2084-43da-a3e6-9bb72801c0c9"
+version = "3.4.0"
+
+[[deps.Statistics]]
+deps = ["LinearAlgebra", "SparseArrays"]
+uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+version = "1.10.0"
+
+[[deps.StatsAPI]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
+uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
+version = "1.7.0"
+
+[[deps.StatsBase]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21"
+uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+version = "0.34.3"
+
+[[deps.StatsFuns]]
+deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
+git-tree-sha1 = "b423576adc27097764a90e163157bcfc9acf0f46"
+uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
+version = "1.3.2"
+weakdeps = ["ChainRulesCore", "InverseFunctions"]
+
+    [deps.StatsFuns.extensions]
+    StatsFunsChainRulesCoreExt = "ChainRulesCore"
+    StatsFunsInverseFunctionsExt = "InverseFunctions"
+
+[[deps.StatsModels]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Printf", "REPL", "ShiftedArrays", "SparseArrays", "StatsAPI", "StatsBase", "StatsFuns", "Tables"]
+git-tree-sha1 = "9022bcaa2fc1d484f1326eaa4db8db543ca8c66d"
+uuid = "3eaba693-59b7-5ba5-a881-562e759f1c8d"
+version = "0.7.4"
+
+[[deps.StringManipulation]]
+deps = ["PrecompileTools"]
+git-tree-sha1 = "a6b1675a536c5ad1a60e5a5153e1fee12eb146e3"
+uuid = "892a3eda-7b42-436c-8928-eab12a02cf0e"
+version = "0.4.0"
+
+[[deps.StringViews]]
+git-tree-sha1 = "ec4bf39f7d25db401bcab2f11d2929798c0578e5"
+uuid = "354b36f9-a18e-4713-926e-db85100087ba"
+version = "1.3.4"
+
+[[deps.StructArrays]]
+deps = ["ConstructionBase", "DataAPI", "Tables"]
+git-tree-sha1 = "f4dc295e983502292c4c3f951dbb4e985e35b3be"
+uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+version = "0.6.18"
+weakdeps = ["Adapt", "GPUArraysCore", "SparseArrays", "StaticArrays"]
+
+    [deps.StructArrays.extensions]
+    StructArraysAdaptExt = "Adapt"
+    StructArraysGPUArraysCoreExt = "GPUArraysCore"
+    StructArraysSparseArraysExt = "SparseArrays"
+    StructArraysStaticArraysExt = "StaticArrays"
+
+[[deps.SuiteSparse]]
+deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
+uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
+
+[[deps.SuiteSparse_jll]]
+deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
+uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
+version = "7.2.1+1"
+
+[[deps.SymbolicAnalysis]]
+deps = ["DSP", "DataStructures", "Dictionaries", "Distributions", "DomainSets", "IfElse", "LinearAlgebra", "LogExpFunctions", "Manifolds", "PDMats", "RecursiveArrayTools", "StatsBase", "SymbolicUtils", "Symbolics"]
+git-tree-sha1 = "64f26bb4a666bb97baa16f063164ade83ca29ec9"
+uuid = "4297ee4d-0239-47d8-ba5d-195ecdf594fe"
+version = "0.3.0"
+
+[[deps.SymbolicIndexingInterface]]
+deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
+git-tree-sha1 = "0225f7c62f5f78db35aae6abb2e5cabe38ce578f"
+uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
+version = "0.3.31"
+
+[[deps.SymbolicLimits]]
+deps = ["SymbolicUtils"]
+git-tree-sha1 = "fabf4650afe966a2ba646cabd924c3fd43577fc3"
+uuid = "19f23fe9-fdab-4a78-91af-e7b7767979c3"
+version = "0.2.2"
+
+[[deps.SymbolicUtils]]
+deps = ["AbstractTrees", "ArrayInterface", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"]
+git-tree-sha1 = "3927e02dc7648a45ec6aa592bcd8374094a44740"
+uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
+version = "3.7.1"
+
+    [deps.SymbolicUtils.extensions]
+    SymbolicUtilsLabelledArraysExt = "LabelledArrays"
+    SymbolicUtilsReverseDiffExt = "ReverseDiff"
+
+    [deps.SymbolicUtils.weakdeps]
+    LabelledArrays = "2ee39098-c373-598a-b85f-a56591580800"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+
+[[deps.Symbolics]]
+deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "IfElse", "LaTeXStrings", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "Primes", "RecipesBase", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
+git-tree-sha1 = "9cd83b6a270bb6135666c4d566cb8d85730ea9e5"
+uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
+version = "6.14.0"
+
+    [deps.Symbolics.extensions]
+    SymbolicsForwardDiffExt = "ForwardDiff"
+    SymbolicsGroebnerExt = "Groebner"
+    SymbolicsLuxExt = "Lux"
+    SymbolicsNemoExt = "Nemo"
+    SymbolicsPreallocationToolsExt = ["PreallocationTools", "ForwardDiff"]
+    SymbolicsSymPyExt = "SymPy"
+
+    [deps.Symbolics.weakdeps]
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    Groebner = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
+    Lux = "b2108857-7c20-44ae-9111-449ecde12c47"
+    Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
+    PreallocationTools = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
+    SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"
+
+[[deps.TOML]]
+deps = ["Dates"]
+uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
+version = "1.0.3"
+
+[[deps.TableTraits]]
+deps = ["IteratorInterfaceExtensions"]
+git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
+uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
+version = "1.0.1"
+
+[[deps.TableTraitsUtils]]
+deps = ["DataValues", "IteratorInterfaceExtensions", "Missings", "TableTraits"]
+git-tree-sha1 = "78fecfe140d7abb480b53a44f3f85b6aa373c293"
+uuid = "382cd787-c1b6-5bf2-a167-d5b971a19bda"
+version = "1.0.2"
+
+[[deps.Tables]]
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"]
+git-tree-sha1 = "598cd7c1f68d1e205689b1c2fe65a9f85846f297"
+uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
+version = "1.12.0"
+
+[[deps.Tar]]
+deps = ["ArgTools", "SHA"]
+uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
+version = "1.10.0"
+
+[[deps.TensorCore]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
+uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
+version = "0.1.1"
+
+[[deps.TermInterface]]
+git-tree-sha1 = "d673e0aca9e46a2f63720201f55cc7b3e7169b16"
+uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
+version = "2.0.0"
+
+[[deps.TerminalLoggers]]
+deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
+git-tree-sha1 = "f133fab380933d042f6796eda4e130272ba520ca"
+uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
+version = "0.1.7"
+
+[[deps.Test]]
+deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
+uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+
+[[deps.TimerOutputs]]
+deps = ["ExprTools", "Printf"]
+git-tree-sha1 = "3a6f063d690135f5c1ba351412c82bae4d1402bf"
+uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
+version = "0.5.25"
+
+[[deps.Tokenize]]
+git-tree-sha1 = "468b4685af4abe0e9fd4d7bf495a6554a6276e75"
+uuid = "0796e94c-ce3b-5d07-9a54-7f471281c624"
+version = "0.5.29"
+
+[[deps.Tracker]]
+deps = ["Adapt", "ChainRulesCore", "DiffRules", "ForwardDiff", "Functors", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NNlib", "NaNMath", "Optimisers", "Printf", "Random", "Requires", "SpecialFunctions", "Statistics"]
+git-tree-sha1 = "da45269e1da051c2a13624194fcdc74d6483fad5"
+uuid = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+version = "0.2.35"
+weakdeps = ["PDMats"]
+
+    [deps.Tracker.extensions]
+    TrackerPDMatsExt = "PDMats"
+
+[[deps.TranscodingStreams]]
+git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742"
+uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
+version = "0.11.3"
+
+[[deps.Transducers]]
+deps = ["Accessors", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "ConstructionBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "SplittablesBase", "Tables"]
+git-tree-sha1 = "7deeab4ff96b85c5f72c824cae53a1398da3d1cb"
+uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
+version = "0.4.84"
+
+    [deps.Transducers.extensions]
+    TransducersAdaptExt = "Adapt"
+    TransducersBlockArraysExt = "BlockArrays"
+    TransducersDataFramesExt = "DataFrames"
+    TransducersLazyArraysExt = "LazyArrays"
+    TransducersOnlineStatsBaseExt = "OnlineStatsBase"
+    TransducersReferenceablesExt = "Referenceables"
+
+    [deps.Transducers.weakdeps]
+    Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+    BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    OnlineStatsBase = "925886fa-5bf2-5e8e-b522-a9147a512338"
+    Referenceables = "42d2dcc6-99eb-4e98-b66c-637b7d73030e"
+
+[[deps.Turing]]
+deps = ["ADTypes", "AbstractMCMC", "Accessors", "AdvancedHMC", "AdvancedMH", "AdvancedPS", "AdvancedVI", "BangBang", "Bijectors", "Compat", "DataStructures", "Distributions", "DistributionsAD", "DocStringExtensions", "DynamicPPL", "EllipticalSliceSampling", "ForwardDiff", "Libtask", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "MCMCChains", "NamedArrays", "Optimization", "OptimizationOptimJL", "OrderedCollections", "Printf", "Random", "Reexport", "Requires", "SciMLBase", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "f69f33f7862a66674c279fe9b86b457a96767e35"
+uuid = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"
+version = "0.34.1"
+
+    [deps.Turing.extensions]
+    TuringDynamicHMCExt = "DynamicHMC"
+    TuringOptimExt = "Optim"
+
+    [deps.Turing.weakdeps]
+    DynamicHMC = "bbc10e6e-7c05-544b-b16e-64fede858acb"
+    Optim = "429524aa-4258-5aef-a3af-852621145aeb"
+
+[[deps.Twiddle]]
+git-tree-sha1 = "29509c4862bfb5da9e76eb6937125ab93986270a"
+uuid = "7200193e-83a8-5a55-b20d-5d36d44a0795"
+version = "1.1.2"
+
+[[deps.URIs]]
+git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
+uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
+version = "1.5.1"
+
+[[deps.UUIDs]]
+deps = ["Random", "SHA"]
+uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
+
+[[deps.UnPack]]
+git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
+uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
+version = "1.0.2"
+
+[[deps.Unicode]]
+uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
+
+[[deps.UnicodeFun]]
+deps = ["REPL"]
+git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
+uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
+version = "0.4.1"
+
+[[deps.Unitful]]
+deps = ["Dates", "LinearAlgebra", "Random"]
+git-tree-sha1 = "d95fe458f26209c66a187b1114df96fd70839efd"
+uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
+version = "1.21.0"
+weakdeps = ["ConstructionBase", "InverseFunctions"]
+
+    [deps.Unitful.extensions]
+    ConstructionBaseUnitfulExt = "ConstructionBase"
+    InverseFunctionsUnitfulExt = "InverseFunctions"
+
+[[deps.UnitfulLatexify]]
+deps = ["LaTeXStrings", "Latexify", "Unitful"]
+git-tree-sha1 = "975c354fcd5f7e1ddcc1f1a23e6e091d99e99bc8"
+uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
+version = "1.6.4"
+
+[[deps.Unityper]]
+deps = ["ConstructionBase"]
+git-tree-sha1 = "25008b734a03736c41e2a7dc314ecb95bd6bbdb0"
+uuid = "a7c27f48-0311-42f6-a7f8-2c11e75eb415"
+version = "0.1.6"
+
+[[deps.UnsafeAtomics]]
+git-tree-sha1 = "6331ac3440856ea1988316b46045303bef658278"
+uuid = "013be700-e6cd-48c3-b4a1-df204f14c38f"
+version = "0.2.1"
+
+[[deps.UnsafeAtomicsLLVM]]
+deps = ["LLVM", "UnsafeAtomics"]
+git-tree-sha1 = "2d17fabcd17e67d7625ce9c531fb9f40b7c42ce4"
+uuid = "d80eeb9a-aca5-4d75-85e5-170c8b632249"
+version = "0.2.1"
+
+[[deps.Unzip]]
+git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
+uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
+version = "0.2.0"
+
+[[deps.VersionParsing]]
+git-tree-sha1 = "58d6e80b4ee071f5efd07fda82cb9fbe17200868"
+uuid = "81def892-9a0e-5fdd-b105-ffc91e053289"
+version = "1.3.0"
+
+[[deps.Vulkan_Loader_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Wayland_jll", "Xorg_libX11_jll", "Xorg_libXrandr_jll", "xkbcommon_jll"]
+git-tree-sha1 = "2f0486047a07670caad3a81a075d2e518acc5c59"
+uuid = "a44049a8-05dd-5a78-86c9-5fde0876e88c"
+version = "1.3.243+0"
+
+[[deps.Wayland_jll]]
+deps = ["Artifacts", "EpollShim_jll", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
+git-tree-sha1 = "7558e29847e99bc3f04d6569e82d0f5c54460703"
+uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
+version = "1.21.0+1"
+
+[[deps.Wayland_protocols_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "93f43ab61b16ddfb2fd3bb13b3ce241cafb0e6c9"
+uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
+version = "1.31.0+0"
+
+[[deps.WeakRefStrings]]
+deps = ["DataAPI", "InlineStrings", "Parsers"]
+git-tree-sha1 = "b1be2855ed9ed8eac54e5caff2afcdb442d52c23"
+uuid = "ea10d353-3f73-51f8-a26c-33c1cb351aa5"
+version = "1.4.2"
+
+[[deps.WinReg]]
+git-tree-sha1 = "cd910906b099402bcc50b3eafa9634244e5ec83b"
+uuid = "1b915085-20d7-51cf-bf83-8f477d6f5128"
+version = "1.0.0"
+
+[[deps.WoodburyMatrices]]
+deps = ["LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "c1a7aa6219628fcd757dede0ca95e245c5cd9511"
+uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
+version = "1.0.0"
+
+[[deps.WorkerUtilities]]
+git-tree-sha1 = "cd1659ba0d57b71a464a29e64dbc67cfe83d54e7"
+uuid = "76eceee3-57b5-4d4a-8e66-0e911cebbf60"
+version = "1.6.1"
+
+[[deps.XML2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
+git-tree-sha1 = "1165b0443d0eca63ac1e32b8c0eb69ed2f4f8127"
+uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
+version = "2.13.3+0"
+
+[[deps.XSLT_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"]
+git-tree-sha1 = "a54ee957f4c86b526460a720dbc882fa5edcbefc"
+uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
+version = "1.1.41+0"
+
+[[deps.XZ_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "ac88fb95ae6447c8dda6a5503f3bafd496ae8632"
+uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
+version = "5.4.6+0"
+
+[[deps.Xorg_libICE_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "326b4fea307b0b39892b3e85fa451692eda8d46c"
+uuid = "f67eecfb-183a-506d-b269-f58e52b52d7c"
+version = "1.1.1+0"
+
+[[deps.Xorg_libSM_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libICE_jll"]
+git-tree-sha1 = "3796722887072218eabafb494a13c963209754ce"
+uuid = "c834827a-8449-5923-a945-d239c165b7dd"
+version = "1.2.4+0"
+
+[[deps.Xorg_libX11_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
+git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
+uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
+version = "1.8.6+0"
+
+[[deps.Xorg_libXau_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
+uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
+version = "1.0.11+0"
+
+[[deps.Xorg_libXcursor_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
+uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
+version = "1.2.0+4"
+
+[[deps.Xorg_libXdamage_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll"]
+git-tree-sha1 = "fe4ffb2024ba3eddc862c6e1d70e2b070cd1c2bf"
+uuid = "0aeada51-83db-5f97-b67e-184615cfc6f6"
+version = "1.1.5+4"
+
+[[deps.Xorg_libXdmcp_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
+uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
+version = "1.1.4+0"
+
+[[deps.Xorg_libXext_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "d2d1a5c49fae4ba39983f63de6afcbea47194e85"
+uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
+version = "1.3.6+0"
+
+[[deps.Xorg_libXfixes_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
+git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
+uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
+version = "5.0.3+4"
+
+[[deps.Xorg_libXi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
+git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
+uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
+version = "1.7.10+4"
+
+[[deps.Xorg_libXinerama_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
+git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
+uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
+version = "1.1.4+4"
+
+[[deps.Xorg_libXrandr_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
+uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
+version = "1.5.2+4"
+
+[[deps.Xorg_libXrender_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "47e45cd78224c53109495b3e324df0c37bb61fbe"
+uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
+version = "0.9.11+0"
+
+[[deps.Xorg_libpthread_stubs_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
+uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
+version = "0.1.1+0"
+
+[[deps.Xorg_libxcb_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
+git-tree-sha1 = "bcd466676fef0878338c61e655629fa7bbc69d8e"
+uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
+version = "1.17.0+0"
+
+[[deps.Xorg_libxkbfile_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
+uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
+version = "1.1.2+0"
+
+[[deps.Xorg_xcb_util_cursor_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
+git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd"
+uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43"
+version = "0.1.4+0"
+
+[[deps.Xorg_xcb_util_image_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
+uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
+git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
+uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_keysyms_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
+uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_renderutil_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
+uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
+version = "0.3.9+1"
+
+[[deps.Xorg_xcb_util_wm_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
+uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
+version = "0.4.1+1"
+
+[[deps.Xorg_xkbcomp_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
+git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
+uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
+version = "1.4.6+0"
+
+[[deps.Xorg_xkeyboard_config_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
+git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
+uuid = "33bec58e-1273-512f-9401-5d533626f822"
+version = "2.39.0+0"
+
+[[deps.Xorg_xtrans_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
+uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
+version = "1.5.0+0"
+
+[[deps.Zlib_jll]]
+deps = ["Libdl"]
+uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
+version = "1.2.13+1"
+
+[[deps.Zstd_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "555d1076590a6cc2fdee2ef1469451f872d8b41b"
+uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
+version = "1.5.6+1"
+
+[[deps.ZygoteRules]]
+deps = ["ChainRulesCore", "MacroTools"]
+git-tree-sha1 = "27798139afc0a2afa7b1824c206d5e87ea587a00"
+uuid = "700de1a5-db45-46bc-99cf-38207098b444"
+version = "0.2.5"
+
+[[deps.adwaita_icon_theme_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "hicolor_icon_theme_jll"]
+git-tree-sha1 = "28401767f30e5743ef5e3b0be71417bc911d3952"
+uuid = "b437f822-2cd6-5e08-a15c-8bac984d38ee"
+version = "43.0.1+0"
+
+[[deps.eudev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
+git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba"
+uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06"
+version = "3.2.9+0"
+
+[[deps.fzf_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "936081b536ae4aa65415d869287d43ef3cb576b2"
+uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
+version = "0.53.0+0"
+
+[[deps.gdk_pixbuf_jll]]
+deps = ["Artifacts", "Glib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Xorg_libX11_jll", "libpng_jll"]
+git-tree-sha1 = "86e7731be08b12fa5e741f719603ae740e16b666"
+uuid = "da03df04-f53b-5353-a52f-6a8b0620ced0"
+version = "2.42.10+0"
+
+[[deps.gperf_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033"
+uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70"
+version = "3.1.1+0"
+
+[[deps.hicolor_icon_theme_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "b458a6f6fc2b1a8ca74ed63852e4eaf43fb9f5ea"
+uuid = "059c91fe-1bad-52ad-bddd-f7b78713c282"
+version = "0.17.0+3"
+
+[[deps.iso_codes_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "d837a5d2a19d54243dafb6cc98d0f590a603dfa1"
+uuid = "bf975903-5238-5d20-8243-bc370bc1e7e5"
+version = "4.15.1+0"
+
+[[deps.libaom_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "1827acba325fdcdf1d2647fc8d5301dd9ba43a9d"
+uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
+version = "3.9.0+0"
+
+[[deps.libass_jll]]
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "e17c115d55c5fbb7e52ebedb427a0dca79d4484e"
+uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
+version = "0.15.2+0"
+
+[[deps.libblastrampoline_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
+version = "5.11.0+0"
+
+[[deps.libdecor_jll]]
+deps = ["Artifacts", "Dbus_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pango_jll", "Wayland_jll", "xkbcommon_jll"]
+git-tree-sha1 = "9bf7903af251d2050b467f76bdbe57ce541f7f4f"
+uuid = "1183f4f0-6f2a-5f1a-908b-139f9cdfea6f"
+version = "0.2.2+0"
+
+[[deps.libevdev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22"
+uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc"
+version = "1.11.0+0"
+
+[[deps.libfdk_aac_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8a22cf860a7d27e4f3498a0fe0811a7957badb38"
+uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
+version = "2.0.3+0"
+
+[[deps.libinput_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"]
+git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce"
+uuid = "36db933b-70db-51c0-b978-0f229ee0e533"
+version = "1.18.0+0"
+
+[[deps.libpng_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "b70c870239dc3d7bc094eb2d6be9b73d27bef280"
+uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
+version = "1.6.44+0"
+
+[[deps.libvorbis_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
+git-tree-sha1 = "490376214c4721cdaca654041f635213c6165cb3"
+uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
+version = "1.3.7+2"
+
+[[deps.mtdev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11"
+uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e"
+version = "1.1.6+0"
+
+[[deps.nghttp2_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
+version = "1.52.0+1"
+
+[[deps.oneTBB_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "7d0ea0f4895ef2f5cb83645fa689e52cb55cf493"
+uuid = "1317d2d5-d96f-522e-a858-c73665f53c3e"
+version = "2021.12.0+0"
+
+[[deps.p7zip_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
+version = "17.4.0+2"
+
+[[deps.x264_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
+uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
+version = "2021.5.5+0"
+
+[[deps.x265_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
+uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
+version = "3.5.0+0"
+
+[[deps.xkbcommon_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
+git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37"
+uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
+version = "1.4.1+1"
diff --git a/examples/Myrtaceae_bayes.jl b/examples/Myrtaceae_bayes.jl
new file mode 100644
index 00000000..44360b51
--- /dev/null
+++ b/examples/Myrtaceae_bayes.jl
@@ -0,0 +1,138 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+using Phylo
+using Turing
+using DataFrames
+using CSV
+using Plots
+
+# load the data
+df = DataFrame(CSV.File("Data/Myrtaceae.csv"))
+
+# load the tree
+const traittree::TraitTree{1} = open(f -> parsenewick(f, TraitTree{1}),
+                                     "Data/Qian2016.tree")
+
+# remove missing species from dataframe
+dropmissing!(df, :species)
+
+# add underscores to dataframe
+df.species = replace.(df.species, " " => "_")
+
+# filter the tree and dataframe for the species that are in  both
+keep = intersect(getleafnames(traittree), df.species)
+keeptips!(traittree, keep)
+filter!(:species => x -> x ∈ keep, df)
+
+# use mean data for trait value
+gdf = groupby(df, :species)
+dat = combine(gdf,
+              [
+                  :tmin,
+                  :tmax,
+                  :trng,
+                  :stl1,
+                  :stl2,
+                  :stl3,
+                  :stl4,
+                  :swvl1,
+                  :swvl2,
+                  :swvl3,
+                  :swvl4,
+                  :ssr,
+                  :tp
+              ] .=> mean; renamecols = false)
+
+# add the data for tmin to the tmintree
+for i in eachrow(dat)
+    setnodedata!(traittree, i.species,
+                 Phylo.traitdata(eltype(nodedatatype(typeof(traittree))),
+                                 ["tmin"], [i.tmin]))
+end
+
+trait = ["tmin"]
+# add lengths to tree
+nodes = getnodes(traittree, postorder)
+for node in nodes
+    val = getnodedata(traittree, node).value
+    if hasinbound(traittree, node)
+        len = Phylo.getlength(traittree, Phylo.getinbound(traittree, node))
+        td = traitdata(eltype(nodedatatype(typeof(traittree))), trait, val, len)
+        setnodedata!(traittree, node, td)
+    else
+        td = traitdata(eltype(nodedatatype(typeof(traittree))), trait, val)
+        setnodedata!(traittree, node, td)
+    end
+end
+
+@model function βσ()
+    β ~ Uniform(-500, 500)
+    σ ~ Uniform(0, 1000)
+    return β, σ
+end
+
+@model function βσ_threepoint(tree, z) # z needs to be for leaves in postorder
+    @submodel β, σ = βσ()
+    z ~ Phylo.MyDist2(σ, β, tree) # tree.z ~ (implement later)
+    return nothing
+end
+
+@model function βσλ_threepoint(tree, z, upper = 1.0) # z needs to be for leaves in postorder
+    @submodel β, σ = βσ()
+    λ ~ Uniform(0, upper)
+    z ~ Phylo.MyDist3(σ, β, λ, tree)
+    return nothing
+end
+
+z = dat.tmin
+
+spl = sample(βσ_threepoint(traittree, z), HMC(0.001, 10), 5000,
+             initial_params = [290.0, 8.0]) # add initial_params
+
+spl = sample(βσλ_threepoint(traittree, z), HMC(0.001, 10), 5000,
+             initial_params = [290.0, 8.0, 0.8])
+
+for i in eachrow(dat)
+    setnodedata!(traittree, i.species,
+                 Phylo.traitdata(eltype(nodedatatype(typeof(traittree))),
+                                 ["tmax"], [i.tmax]))
+end
+
+z = dat.tmax
+
+spl = sample(βσ_threepoint(traittree, z), HMC(0.01, 10), 5000,
+             initial_params = [290.0, 8.0])
+
+spl = sample(βσλ_threepoint(traittree, z), HMC(0.01, 10), 5000,
+             initial_params = [290.0, 8.0, 0.8])
+
+for i in eachrow(dat)
+    setnodedata!(traittree, i.species,
+                 Phylo.traitdata(eltype(nodedatatype(typeof(traittree))),
+                                 ["trng"], [i.trng]))
+end
+
+z = dat.trng
+
+spl = sample(βσ_threepoint(traittree, z), HMC(0.01, 10), 5000,
+             initial_params = [4.0, 1.0])
+
+spl = sample(βσλ_threepoint(traittree, z), HMC(0.01, 10), 5000,
+             initial_params = [4.0, 1.0, 0.8])
+
+for i in eachrow(dat)
+    setnodedata!(traittree, i.species,
+                 Phylo.traitdata(eltype(nodedatatype(typeof(traittree))),
+                                 ["swvl1"], [i.swvl1]))
+end
+
+z = dat.swvl1
+
+estimaterates(traittree, ["swvl1"], lambda = 0.5)
+
+spl = sample(βσ_threepoint(traittree, z), HMC(0.0001, 10), 5000,
+             initial_params = [0.1, 1.0])
+
+spl = sample(βσλ_threepoint(traittree, z), HMC(0.0001, 10), 5000,
+             initial_params = [0.1, 1.0, 0.5])
+plot(spl[:λ])
diff --git a/examples/Project.toml b/examples/Project.toml
new file mode 100644
index 00000000..292972b1
--- /dev/null
+++ b/examples/Project.toml
@@ -0,0 +1,15 @@
+[deps]
+BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
+DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
+Optim = "429524aa-4258-5aef-a3af-852621145aeb"
+Phylo = "aea672f4-3940-5932-aa44-993d1c3ff149"
+PhyloNetworks = "33ad39ac-ed31-50eb-9b15-43d0656eaa72"
+Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
+Profile = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
+ProfileView = "c46f51b8-102a-5cf2-8d2c-8597cb0e0da7"
+RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
+Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+StatsModels = "3eaba693-59b7-5ba5-a881-562e759f1c8d"
+Turing = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"
diff --git a/examples/example_bayes.jl b/examples/example_bayes.jl
new file mode 100644
index 00000000..99b99bb4
--- /dev/null
+++ b/examples/example_bayes.jl
@@ -0,0 +1,165 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+using Turing
+using Phylo
+using Distributions
+using Random
+using BenchmarkTools
+using DataFrames
+using LinearAlgebra
+using Plots
+
+# set seed
+Random.seed!(678)
+
+@model function βσ()
+    β ~ Uniform(-100, 100)
+    σ ~ Uniform(0, 100)
+    return β, σ
+end
+
+@model function βσ_covariance(z, C)
+    @submodel β, σ = βσ()
+    z ~ MvNormal(β * ones(length(z)), σ * C)
+    return nothing
+end
+
+@model function βσ_threepoint(tree, z) # z needs to be for leaves in postorder
+    @submodel β, σ = βσ()
+    z ~ Phylo.MyDist2(σ, β, tree) # tree.z ~ (implement later)
+    return nothing
+end
+
+@model function βσλ_threepoint(tree, z, upper = 1.0) # z needs to be for leaves in postorder
+    @submodel β, σ = βσ()
+    λ ~ Uniform(0, 1.0)
+    z ~ Phylo.MyDist3(σ, β, λ, tree)
+    return nothing
+end
+
+function gen_βσ_covariance(::Type{T}, n_tips) where {T}
+    # generate tree
+    nu = Ultrametric{T}(n_tips)
+    tree = rand(nu)
+
+    # get phylogenetic variance matrix - needed for method using built in Julia functions
+    C = fill(1.0, (n_tips, n_tips)) - distances(tree) ./ 2
+    C = abs.(Symmetric(C))
+
+    # generate traits, store in vector z
+    a = BrownianTrait(tree, "BMtrait", σ² = 1.0)
+    bm_traits = rand(a)
+    leafnames = getleafnames(tree)
+    z = [bm_traits[leaf] for leaf in leafnames]
+
+    # using built in Julia functions 
+    return βσ_covariance(z, C)
+end
+
+function gen_βσ_threepoint(::Type{T}, n_tips) where {T}
+    # generate tree
+    nu = Ultrametric{T}(n_tips)
+    tree = rand(nu)
+    # generate traits, store in vector z
+    a = BrownianTrait(tree, "BMtrait", σ² = 1.0)
+    bm_traits = rand(a)
+    leafnames = getleafnames(tree)
+    z = [bm_traits[leaf] for leaf in leafnames]
+
+    # Use threepoint:
+    # pop trait data on tree
+    nodes = getnodes(tree, postorder)
+    rdat = DataFrame(species = leafnames, data = z)
+    for i in eachrow(rdat)
+        setnodedata!(tree, i.species,
+                     Phylo.traitdata(eltype(nodedatatype(typeof(tree))),
+                                     ["trait"],
+                                     [i.data]))
+    end
+
+    # trait needs to be a vector of trait names, used for functions later
+    trait = ["trait"]
+
+    # add lengths to tree
+    for node in nodes
+        val = getnodedata(tree, node).value
+        if hasinbound(tree, node)
+            len = Phylo.getlength(tree, Phylo.getinbound(tree, node))
+            td = traitdata(eltype(nodedatatype(typeof(tree))), trait, val, len)
+            setnodedata!(tree, node, td)
+        else
+            td = traitdata(eltype(nodedatatype(typeof(tree))), trait, val)
+            setnodedata!(tree, node, td)
+        end
+    end
+
+    return βσ_threepoint(tree, z)
+end
+
+function gen_βσλ_threepoint(::Type{T}, n_tips) where {T}
+    # generate tree
+    nu = Ultrametric{T}(n_tips)
+    tree = rand(nu)
+    # distances(tree)
+
+    # generate traits, store in vector z
+    a = BrownianTrait(tree, "BMtrait", σ² = 1.0)
+    bm_traits = rand(a)
+    leafnames = getleafnames(tree)
+    z = [bm_traits[leaf] for leaf in leafnames]
+
+    # Use threepoint:
+    # pop trait data on tree
+    nodes = getnodes(tree, postorder)
+    rdat = DataFrame(species = leafnames, data = z)
+    for i in eachrow(rdat)
+        setnodedata!(tree, i.species,
+                     Phylo.traitdata(eltype(nodedatatype(typeof(tree))),
+                                     ["trait"], [i.data]))
+    end
+
+    # trait needs to be a vector of trait names, used for functions later
+    trait = ["trait"]
+
+    # add lengths to tree
+    for node in nodes
+        val = getnodedata(tree, node).value
+        if hasinbound(tree, node)
+            len = Phylo.getlength(tree, Phylo.getinbound(tree, node))
+            td = traitdata(eltype(nodedatatype(typeof(tree))), trait, val, len)
+            setnodedata!(tree, node, td)
+        else
+            td = traitdata(eltype(nodedatatype(typeof(tree))), trait, val)
+            setnodedata!(tree, node, td)
+        end
+    end
+
+    return βσλ_threepoint(tree, z)
+end
+
+# number of tips on the tree
+n_tips = 200
+n_samples = 10_000
+
+model = gen_βσ_covariance(TraitTree{1}, n_tips);
+sample(model, HMC(0.01, 5), 1);
+spl = sample(model, HMC(0.01, 5), n_samples) # add initial_params
+plot(spl[:β])
+plot(spl[:σ])
+
+model = gen_βσ_threepoint(Phylo.TraitTreeNum{1}, n_tips);
+model = gen_βσ_threepoint(TraitTree{1}, n_tips);
+model = gen_βσ_threepoint(Phylo.TraitTreeFloat64{1}, n_tips);
+sample(model, HMC(0.01, 5), 1);
+spl = sample(model, HMC(0.01, 5), n_samples) # add initial_params
+plot(spl[:β])
+plot(spl[:σ])
+
+model = gen_βσλ_threepoint(Phylo.TraitTreeNum{1}, n_tips);
+model = gen_βσλ_threepoint(Phylo.TraitTreeDual{1}, n_tips);
+model = gen_βσλ_threepoint(TraitTree{1}, n_tips);
+sample(model, HMC(0.01, 5), 1);
+spl = sample(model, HMC(0.01, 5), n_samples) # add initial_params
+plot(spl[:β])
+plot(spl[:σ])
+plot(spl[:λ])
diff --git a/examples/example_inference.jl b/examples/example_inference.jl
new file mode 100644
index 00000000..ce3f0be9
--- /dev/null
+++ b/examples/example_inference.jl
@@ -0,0 +1,428 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+using BenchmarkTools
+using Phylo
+using DataFrames
+using Random
+using CSV
+using Profile
+using ProfileView
+using Statistics
+
+# needed for phylolm comaparison
+using RCall
+
+# needed for Phyloetworks comaparison
+using PhyloNetworks
+using StatsModels
+
+Random.seed!(1234)
+
+# Compare Phylo against phylolm and PhyloNetworks on a tree with uniform random tips
+# Load the hummingbirds tree from test
+const jtree::TraitTree{1} = open(f -> parsenewick(f, TraitTree{1}),
+                                 "test/hummingbirds.tree")
+
+# Create dataframe with leafnames and random trait values
+species = getleaves(jtree)
+data = 1000 .* rand(length(species))
+
+# Create dataframe
+speciesnames = getleafnames(jtree);
+rdat = DataFrame(species = speciesnames, data = data);
+
+# add the data to the tree
+for i in eachrow(rdat)
+    setnodedata!(jtree, i.species, Phylo.traitdata(["trait"], [i.data]))
+end
+
+# run inference
+estimaterates(jtree, ["trait"])
+
+Profile.clear_malloc_data()
+
+ProfileView.@profview for i in 1:1000
+    estimaterates(jtree, ["trait"])
+end
+
+# check inference run time
+@benchmark estimaterates(jtree, ["trait"])
+
+# run inference to calculate signal
+estimaterates(jtree, ["trait"], lambda = 0.1)
+
+# check inference run time
+@benchmark estimaterates(jtree, ["trait"], lambda = 0.1)
+
+Profile.clear_malloc_data()
+
+ProfileView.@profview for i in 1:10
+    estimaterates(jtree, ["trait"], lambda = 0.1)
+end
+
+# Compare against phylolm in R
+# load R packages and read tree into R
+R"
+library('ape')
+library('phylolm')"
+
+R"rtree = ape::read.tree(file = 'test/hummingbirds.tree')"
+
+# send dataframe into R
+@rput rdat
+
+# species need to be the row names in R
+R"row.names(rdat) <- rdat$species"
+
+# run inference
+rcopy(R"phylolm(data~1,data=rdat,phy=rtree)")
+
+# check inference run time
+@benchmark rcopy(R"phylolm(data~1,data=rdat,phy=rtree)")
+
+# run inference to calculate signal
+rcopy(R"phylolm(data~1,data=rdat,phy=rtree, model = c('lambda'))")
+
+# check inference run time
+@benchmark rcopy(R"phylolm(data~1,data=rdat,phy=rtree, model = c('lambda'))")
+
+# Compare against PhyloNetworks
+# load the tree using PhyloNetworks
+tree2 = readTopology("test/hummingbirds.tree");
+
+# get tip names
+tipnames = tipLabels(tree2)
+
+# dataframe needs column called tipNames
+dat = DataFrame(tipNames = tipnames, data = data)
+
+# run inference 
+phylolm(@formula(data~1), dat, tree2)
+
+# check inference run time
+@benchmark plm = phylolm(@formula(data~1), dat, tree2)
+
+# run inference to calculate signal
+phylolm(@formula(data~1), dat, tree2, model = "lambda")
+
+# check inference run time
+@benchmark plm = phylolm(@formula(data~1), dat, tree2, model = "lambda")
+
+# Comparison done using the same tree, but with tip trait data generated using Brownian Motion
+# Generate data using Brownian Motion
+a = BrownianTrait(jtree, "BMtrait")
+bm_traits = rand(a)
+
+# create a vector to store trait data
+nodes = getnodenames(jtree)
+leafnames = getleafnames(jtree);
+traitvector = [bm_traits[leaf] for leaf in leafnames]
+
+# Crate dataframe
+rdat = DataFrame(species = leafnames, data = traitvector)
+
+# add data to the tree
+for i in eachrow(rdat)
+    setnodedata!(jtree, i.species, Phylo.traitdata(["trait"], [i.data]))
+end
+
+# run inference
+estimaterates(jtree, ["trait"])
+
+# check inference run time
+@benchmark estimaterates(jtree, ["trait"])
+
+# run inference to calculate signal
+estimaterates(jtree, ["trait"], lambda = 0.1)
+
+# check inference run time
+@benchmark estimaterates(jtree, ["trait"], lambda = 0.1)
+
+# Compare against phylolm in R
+# load R packages and read tree into R
+R"
+library('ape')
+library('phylolm')"
+
+R"rtree = ape::read.tree(file = 'test/hummingbirds.tree')"
+
+# send dataframe into R
+@rput rdat
+
+# species need to be the row names in R
+R"row.names(rdat) <- rdat$species"
+
+# run inference
+rcopy(R"phylolm(data~1,data=rdat,phy=rtree)")
+
+# check inference run time
+@benchmark rcopy(R"phylolm(data~1,data=rdat,phy=rtree)")
+
+# run inference to calculate signal
+rcopy(R"phylolm(data~1,data=rdat,phy=rtree, model = c('lambda'))")
+
+# check inference run time
+@benchmark rcopy(R"phylolm(data~1,data=rdat,phy=rtree, model = c('lambda'))")
+
+# Compare against PhyloNetworks
+# dataframe needs column called tipNames
+dat = DataFrame(tipNames = tipnames, data = traitvector)
+
+# dataframe needs column called tipNames
+dat = DataFrame(tipNames = tipnames, data = data)
+
+# run inference 
+phylolm(@formula(data~1), dat, tree2)
+
+# check inference run time
+@benchmark plm = phylolm(@formula(data~1), dat, tree2)
+
+# run inference to calculate signal
+phylolm(@formula(data~1), dat, tree2, model = "lambda")
+
+# check inference run time
+@benchmark plm = phylolm(@formula(data~1), dat, tree2, model = "lambda")
+
+# Using the Myrtaceae tree, compare packages using real world data
+# load the data
+df = DataFrame(CSV.File("Data/Myrtaceae.csv"))
+
+# load the tree
+const bigtree::TraitTree{1} = open(f -> parsenewick(f, TraitTree{1}),
+                                   "Data/Qian2016.tree")
+
+# remove missing species from dataframe
+dropmissing!(df, :species)
+
+# add underscores to dataframe
+df.species = replace.(df.species, " " => "_")
+
+# filter the tree and dataframe for the species that are in  both
+keep = intersect(getleafnames(bigtree), df.species)
+keeptips!(bigtree, keep)
+filter!(:species => x -> x ∈ keep, df)
+
+# use mean data for trait value
+gdf = groupby(df, :species)
+dat = combine(gdf,
+              [
+                  :tmin,
+                  :tmax,
+                  :trng,
+                  :stl1,
+                  :stl2,
+                  :stl3,
+                  :stl4,
+                  :swvl1,
+                  :swvl2,
+                  :swvl3,
+                  :swvl4,
+                  :ssr,
+                  :tp
+              ] .=> mean; renamecols = false)
+
+# add the data for tmin to the tree
+for i in eachrow(dat)
+    setnodedata!(bigtree, i.species, Phylo.traitdata(["tmin"], [i.tmin]))
+end
+
+# run inference
+estimaterates(bigtree, ["tmin"])
+
+# check inference run time
+@benchmark estimaterates(bigtree, ["tmin"])
+
+# run inference to calculate signal
+estimaterates(bigtree, ["tmin"], lambda = 0.8)
+
+# check inference run time
+@benchmark estimaterates(bigtree, ["tmin"], lambda = 0.8)
+
+# Compare against phylolm in R
+# load packages and tree
+R"
+library('ape')
+library('phylolm')"
+
+R"rbigtree = ape::read.tree(file = 'Data/Qian2016.tree')"
+
+# transfer data and list of species in both the tree and data into R
+@rput dat
+@rput keep
+
+# species need to be the row names in R
+R"row.names(dat) <- dat$species"
+
+# filter the tree
+R"filteredtree <- keep.tip(rbigtree, keep)"
+
+# run inference
+rcopy(R"phylolm(tmin~1,data=dat,phy=filteredtree)")
+
+# check inference run time
+@benchmark rcopy(R"phylolm(tmin~1,data=dat,phy=filteredtree)")
+
+# run inference to calculate signal
+rcopy(R"phylolm(tmin~1,data=dat,phy=filteredtree, model = c('lambda'))")
+
+# check inference run time
+@benchmark rcopy(R"phylolm(tmin~1,data=dat,phy=filteredtree, model = c('lambda'))")
+
+# Compare against PhyloNetworks
+# load the tree and get the names of the leaves
+tree = readTopology("Data/Qian2016.tree");
+tipnames = tipLabels(tree)
+
+# Filter for species in the tree and the data
+missing_species = setdiff(tipnames, keep)
+for i in eachindex(missing_species)
+    deleteleaf!(tree, join(split(missing_species[i], " "), "_"))
+end
+
+# species column in the data needs to be tipNames
+rename!(dat, :species => :tipNames)
+
+# run inference
+phylolm(@formula(tmin~1), dat, tree)
+
+# check inference run time
+@benchmark phylolm(@formula(tmin~1), dat, tree)
+
+# run inference to calculate signal
+phylolm(@formula(tmin~1), dat, tree, model = "lambda")
+
+# check run time
+@benchmark phylolm(@formula(tmin~1), dat, tree, model = "lambda")
+
+# Preform inference on multiple traits, both generated uniformly
+
+# load the hummingbirds tree that can store data for two trait values
+const multtree::TraitTree{2} = open(f -> parsenewick(f, TraitTree{2}),
+                                    "test/hummingbirds.tree")
+
+# load leafnames and generate uniform random trait values
+species = getleaves(multtree)
+data1 = 1000 .* rand(length(species))
+data2 = 1000 .* rand(length(species))
+
+# create dataframe
+speciesnames = getleafnames(multtree);
+rdat = DataFrame(species = speciesnames, data1 = data1, data2 = data2);
+
+# add the data to the tree
+for i in eachrow(rdat)
+    setnodedata!(multtree, i.species,
+                 Phylo.traitdata(["trait1", "trait2"], [i.data1, i.data2]))
+end
+
+# run inference
+estimaterates(multtree, ["trait1", "trait2"])
+
+# check inference run time
+@benchmark estimaterates(multtree, ["trait1", "trait2"])
+
+# run inference to calculate Signal
+estimaterates(multtree, ["trait1", "trait2"], lambda = 0.1)
+
+# check inference run time
+@benchmark estimaterates(multtree, ["trait1", "trait2"], lambda = 0.1)
+
+# Preform inference on multiple traits, both generated through Brownian Motion
+# load a new tree
+const multtree2::TraitTree{2} = open(f -> parsenewick(f, TraitTree{2}),
+                                     "test/hummingbirds.tree")
+
+# gennerate data
+a = BrownianTrait(multtree2, "BMtrait")
+b = BrownianTrait(multtree2, "BMtrait")
+BMtrait1 = rand(a)
+BMtrait2 = rand(b)
+
+# get leaf names
+leafnames = getleafnames(multtree2);
+
+# add data to a vector
+traitvector1 = Vector{Float64}();
+traitvector2 = Vector{Float64}();
+for leaf in leafnames
+    push!(traitvector1, BMtrait1[leaf])
+    push!(traitvector2, BMtrait2[leaf])
+end
+
+# create a dataframe
+rdat = DataFrame(species = leafnames, data1 = traitvector1,
+                 data2 = traitvector2)
+
+# add data to the tree
+for i in eachrow(rdat)
+    setnodedata!(multtree2, i.species,
+                 Phylo.traitdata(["trait1", "trait2"], [i.data1, i.data2]))
+end
+
+# run inference
+estimaterates(multtree2, ["trait1", "trait2"])
+
+# check inference run time
+@benchmark estimaterates(multtree2, ["trait1", "trait2"])
+
+# run inference to calculate Signal
+estimaterates(multtree2, ["trait1", "trait2"], lambda = 0.1)
+
+# check inference run time
+@benchmark estimaterates(multtree2, ["trait1", "trait2"], lambda = 0.1)
+
+# Preform inference on multiple traits using real world data
+# load the tree
+const multtree3::TraitTree{2} = open(f -> parsenewick(f, TraitTree{2}),
+                                     "Data/Qian2016.tree")
+
+# load the data
+df = DataFrame(CSV.File("Data/Myrtaceae.csv"))
+
+# remove missing species from dataframe
+dropmissing!(df, :species)
+
+# add underscores to dataframe
+df.species = replace.(df.species, " " => "_")
+
+# filter the tree and dataframe for the species that are in  both
+keep = intersect(getleafnames(multtree3), df.species)
+keeptips!(multtree3, keep)
+filter!(:species => x -> x ∈ keep, df)
+
+# use mean data for trait value
+gdf = groupby(df, :species)
+dat = combine(gdf,
+              [
+                  :tmin,
+                  :tmax,
+                  :trng,
+                  :stl1,
+                  :stl2,
+                  :stl3,
+                  :stl4,
+                  :swvl1,
+                  :swvl2,
+                  :swvl3,
+                  :swvl4,
+                  :ssr,
+                  :tp
+              ] .=> mean; renamecols = false)
+
+# add the data for tmin to the tree
+for i in eachrow(dat)
+    setnodedata!(multtree3, i.species,
+                 Phylo.traitdata(["tmin", "tmax"], [i.tmin, i.tmax]))
+end
+
+# run inference
+estimaterates(multtree3, ["tmin", "tmax"])
+
+# check inference run time
+@benchmark estimaterates(multtree3, ["tmin", "tmax"])
+
+# run inference to calculate Signal
+estimaterates(multtree3, ["tmin", "tmax"], lambda = 0.5)
+
+# check inference run time
+@benchmark estimaterates(multtree3, ["tmin", "tmax"], lambda = 0.5)
diff --git a/examples/testmulti.jl b/examples/testmulti.jl
new file mode 100644
index 00000000..53bafb33
--- /dev/null
+++ b/examples/testmulti.jl
@@ -0,0 +1,156 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+using Phylo
+using DataFrames
+using Random
+using CSV
+using Statistics
+using Profile
+using ProfileView
+using Optim # need to remember to remove
+
+estimaterates(multtree2, ["trait1", "trait2"], lambda = [0.8, 0.8])
+
+Random.seed!(110)
+
+n_tips = 10
+# generate tree
+nu = Ultrametric{TraitTree{2}}(n_tips);
+tree = rand(nu)
+
+a = BrownianTrait(tree, "BMtrait")
+b = BrownianTrait(tree, "BMtrait")
+bm_traits1 = rand(a)
+bm_traits2 = rand(b)
+
+leafnames = getleafnames(tree);
+z1 = [bm_traits1[leaf] for leaf in leafnames];
+z2 = [bm_traits2[leaf] for leaf in leafnames];
+
+nodes = getnodes(tree, postorder)
+
+# Crate dataframe
+rdat = DataFrame(species = leafnames, data1 = z1, data2 = z2)
+
+# add data to the tree
+for i in eachrow(rdat)
+    setnodedata!(tree, i.species,
+                 Phylo.traitdata(["trait1", "trait2"], [i.data1, i.data2]))
+end
+
+estimaterates(tree, ["trait1", "trait2"], lambda = [0.8, 0.8])
+
+# Preform inference on multiple traits using real world data
+# load the tree
+const multtree3::TraitTree{2} = open(f -> parsenewick(f, TraitTree{2}),
+                                     "Data/Qian2016.tree");
+
+# load the data
+df = DataFrame(CSV.File("Data/Myrtaceae.csv"))
+
+# remove missing species from dataframe
+dropmissing!(df, :species)
+
+# add underscores to dataframe
+df.species = replace.(df.species, " " => "_")
+
+# filter the tree and dataframe for the species that are in  both
+keep = intersect(getleafnames(multtree3), df.species)
+keeptips!(multtree3, keep)
+filter!(:species => x -> x ∈ keep, df)
+
+# use mean data for trait value
+gdf = groupby(df, :species)
+dat = combine(gdf,
+              [
+                  :tmin,
+                  :tmax,
+                  :trng,
+                  :stl1,
+                  :stl2,
+                  :stl3,
+                  :stl4,
+                  :swvl1,
+                  :swvl2,
+                  :swvl3,
+                  :swvl4,
+                  :ssr,
+                  :tp
+              ] .=> mean; renamecols = false)
+
+# add the data for tmin to the tree
+for i in eachrow(dat)
+    setnodedata!(multtree3, i.species,
+                 Phylo.traitdata(["tmin", "tmax"],
+                                 [i.tmin, i.tmax]))
+end
+
+lambda = fill(0.8, 2);
+
+@time estimaterates(multtree3, ["tmin", "tmax"], lambda = lambda)
+
+Profile.clear_malloc_data()
+
+ProfileView.@profview for i in 1:3
+    estimaterates(multtree3, ["tmin", "tmax"], lambda = lambda)
+end
+
+#=
+nodes = getnodes(multtree3, postorder)
+
+nN = last(nodes)
+nd = getnodedata(multtree3, nN)
+
+k = length(2)
+
+n = nleaves(multtree3)
+=#
+
+# test w/o signal to see if getting the thing I expect
+
+const multtree2::TraitTree{2} = open(f -> parsenewick(f, TraitTree{2}),
+                                     "test/hummingbirds.tree");
+
+# gennerate data
+a = BrownianTrait(multtree2, "BMtrait", σ² = 100)
+b = BrownianTrait(multtree2, "BMtrait", σ² = 3)
+BMtrait1 = rand(a)
+BMtrait2 = rand(b)
+
+# get leaf names
+leafnames = getleafnames(multtree2);
+
+# add data to a vector
+traitvector1 = Vector{Float64}();
+traitvector2 = Vector{Float64}();
+for leaf in leafnames
+    push!(traitvector1, BMtrait1[leaf])
+    push!(traitvector2, BMtrait2[leaf])
+end
+
+# create a dataframe
+rdat = DataFrame(species = leafnames, data1 = traitvector1,
+                 data2 = traitvector2)
+
+# add data to the tree
+for i in eachrow(rdat)
+    setnodedata!(multtree2, i.species,
+                 Phylo.traitdata(["trait1", "trait2"], [i.data1, i.data2]))
+end
+
+# run inference
+estimaterates(multtree2, ["trait1", "trait2"])
+
+estimaterates(multtree2, ["trait1", "trait2"], lambda = [1.0, 1.0])
+
+nodes = getnodes(multtree2, postorder)
+
+nN = last(nodes)
+nd = getnodedata(multtree2, nN)
+
+k = 2
+
+n = nleaves(multtree2)
+
+betahat = inv(nd.xx) * nd.Q
+sigmahat = (nd.yy - 2 * betahat * nd.Q' + betahat * nd.xx * betahat') / n
diff --git a/ext/PhyloRCallExt.jl b/ext/PhyloRCallExt.jl
index 11afafd6..bf37b8cf 100644
--- a/ext/PhyloRCallExt.jl
+++ b/ext/PhyloRCallExt.jl
@@ -78,7 +78,7 @@ function sexp(tree::T) where {T <: AbstractTree}
     tor[:edge] = edges
     tor[Symbol("edge.length")] = lengths
     sobj = protect(sexp(tor))
-    #setattrib!(sobj, :order, sexp("cladewise"))
+    # setattrib!(sobj, :order, sexp("cladewise"))
     setclass!(sobj, sexp("phylo"))
     unprotect(1)
     return sobj
diff --git a/src/API.jl b/src/API.jl
index c3cc7588..d26930aa 100644
--- a/src/API.jl
+++ b/src/API.jl
@@ -922,7 +922,7 @@ function _src end
 _src(::T, ::B) where {T, B} = error("No _src() function for $T, $B")
 
 """
-    _dst(branch::AbstractBranch)
+    _dst(tree::AbstractTree, branch::AbstractBranch)
 
 Return destination node for a branch. Must be implemented for any rooted
 AbstractBranch subtype.
diff --git a/src/Phylo.jl b/src/Phylo.jl
index d6a24fc2..05ba1a53 100644
--- a/src/Phylo.jl
+++ b/src/Phylo.jl
@@ -215,6 +215,10 @@ include("metrics.jl")
 export mrca, nodeheights
 export distance, distances, heighttoroot, heightstoroot
 
+# Inference on tree
+include("inference.jl")
+export estimaterates, TraitTree, traitdata, threepoint!
+
 # Path into package
 path(path...; dir::String = "test") = joinpath(@__DIR__, "..", dir, path...)
 
diff --git a/src/RecursiveTree.jl b/src/RecursiveTree.jl
index 14333266..5f46a962 100644
--- a/src/RecursiveTree.jl
+++ b/src/RecursiveTree.jl
@@ -600,7 +600,7 @@ _getnodedata(::RecursiveTree, node::RecursiveNode) = node.data
 import Phylo.API: _setnodedata!
 function _setnodedata!(::RecursiveTree{RT, NL, NodeData, BranchData},
                        node::RecursiveNode{RT, NL, NodeData, BranchData},
-                       data::NodeData) where {RT, NL, NodeData, BranchData}
+                       data) where {RT, NL, NodeData, BranchData}
     return (node.data = data)
 end
 
diff --git a/src/inference.jl b/src/inference.jl
new file mode 100644
index 00000000..635fee75
--- /dev/null
+++ b/src/inference.jl
@@ -0,0 +1,759 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+using DataFrames
+using LinearAlgebra
+using Optim
+using Distributions
+using ForwardDiff
+using DynamicPPL
+
+abstract type AbstractTraitData end
+
+mutable struct TraitData{T <: Number, NTraits} <: AbstractTraitData # had to change types to Number for Bayes to work w/ lambda
+    name::Vector{String}          # Name of traits
+    value::Vector{Float64}        # Trait values
+    t::T                          # branch length
+    logV::T
+    p::T                          # 1' V^(-1) 1
+    yl::Vector{T}                 # 1' V^(-1) y  (y is trait values)
+    xl::T                         # 1' V^(-1) x  (we set x as 1)
+    Q::Vector{T}                  # x' V^(-1) y
+    xx::T                         # x' V^(-1) x
+    yy::T                         # y' V^(-1) y
+    v::Vector{Float64}            # used for PIC
+    xlmult::Vector{Float64}       # 1' W^(-1) x  
+    pmult::Matrix{Float64}        # 1' W^(-1) C1      
+    xxmult::Matrix{Float64}       # x' W^(-1) x 
+    yymult::Float64               # y' W^(-1) y
+    Qmult::Float64                # x' W^(-1) y
+    ylmult::Matrix{Float64}       # 1' W^(-1) y
+end
+
+import Base.eltype
+eltype(::TD) where {T <: Number, NT, TD <: TraitData{T, NT}} = T
+eltype(::Type{TD}) where {T <: Number, NT, TD <: TraitData{T, NT}} = T
+
+# change these from Float to <: Number too
+function traitdata(::Type{T}, name::String, value::Float64,
+                   t = 0.0) where {T <: Number}
+    return traitdata(T, [name], [value], t)
+end
+
+function traitdata(::Type{T}, name::Vector{String}, value::Vector{Float64},
+                   t = 0.0) where {T <: Number}
+    return TraitData{T, length(name)}(name, value, T(t), T(NaN), T(NaN),
+                                      fill(T(NaN), length(name)), T(NaN),
+                                      fill(T(NaN), length(name)), T(NaN),
+                                      T(NaN), fill(NaN, length(name)),
+                                      fill(NaN, length(name)),
+                                      fill(NaN, length(name), length(name)),
+                                      fill(NaN, length(name), length(name)),
+                                      NaN, NaN,
+                                      fill(NaN, length(name), length(name)))
+end
+
+function TraitData{T, NTraits}() where {T <: Number, NTraits}
+    return traitdata(T, fill("", NTraits), fill(NaN, NTraits))
+end
+
+const TReB{T, NT, RT, BT, LenUnits} = RecursiveBranch{RT, String,
+                                                      TraitData{T, NT}, Nothing,
+                                                      BT, LenUnits}
+const TReN{T, NT, RT, BT, LenUnits} = RecursiveNode{RT, String,
+                                                    TraitData{T, NT}, Nothing,
+                                                    BT, LenUnits}
+const TReT{T, NT, RT, TD, BT, LenUnits} = RecursiveTree{RT, String,
+                                                        TraitData{T, NT},
+                                                        Nothing, BT, LenUnits,
+                                                        TD}
+const TReTD{T, NT, RT, BT, LenUnits} = TReT{T, NT, RT, Dict{String, Any}, BT,
+                                            LenUnits}
+const TraitTreeFloat64{NTraits} = TReTD{Float64, NTraits, OneRoot,
+                                        PolytomousBranching, Float64}
+const TraitTreeDual{NTraits} = TReTD{ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag,
+                                                                      Float64},
+                                                      Float64, 3}, NTraits,
+                                     OneRoot, PolytomousBranching, Float64}
+const TraitTreeNum{NTraits} = TReTD{Number, NTraits, OneRoot,
+                                    PolytomousBranching, Float64}
+const TraitTree{NTraits} = TReTD{Union{Float64,
+                                       ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag,
+                                                                        Float64},
+                                                        Float64, 3}}, NTraits,
+                                 OneRoot, PolytomousBranching, Float64}
+
+function threepoint!(tree::T, trait::Vector{String},
+                     nodes::Vector{N}) where
+         {TT, RT, NL, N <: AbstractElt{RT, NL}, B <: AbstractElt{RT, NL},
+          T <: AbstractTree{TT, RT, NL, N, B}}
+    # prefrom algortihm in Ho & Ane 2014
+    # function estimaterates gets inputs into right form
+    # nodes - vector of nodes in the traversal order
+
+    for node in nodes
+        nd = getnodedata(tree, node)
+        nodet = nd.t
+
+        # need to see if node is a tip (leaf)
+        if isleaf(tree, node)
+            nodetrait = nd.value
+
+            # update node data
+            nd.logV = log(nodet)
+            nd.p = inv(nodet)
+            nd.yl = nodetrait
+            nd.xl = 1.0
+            nd.Q = nodetrait / nodet
+            nd.xx = inv(nodet)
+            nd.yy = nodetrait' * nodetrait / nodet
+
+        else
+            # need to find direct desendents 
+            children = getchildren(tree, node)
+
+            # child data
+            childdata = getnodedata.(tree, children)
+
+            # calculations
+            childp = [s.p for s in childdata]
+            pA = sum(childp)
+            ws = childp / pA
+
+            calc = 1.0 + nodet * pA
+            nd.logV = sum(s.logV for s in childdata) + log(calc)
+            nd.p = pA / calc
+            nd.xl = sum(ws .* [s.xl for s in childdata])
+            nd.yl = sum(ws .* [s.yl for s in childdata])
+
+            c2 = nodet * pA^2 / calc
+            nd.Q = sum(s.Q for s in childdata) - c2 * nd.xl * nd.yl
+            nd.xx = sum(s.xx for s in childdata) - c2 * nd.xl * nd.xl
+            nd.yy = sum(s.yy for s in childdata) - c2 * nd.yl' * nd.yl
+        end
+        # @assert getnodedata(tree, node) === nd
+    end
+
+    return tree
+end
+
+function estimaterates!(tree::T, trait::Vector{String},
+                        lambda) where {T <: AbstractTree}
+
+    # get information from tree in order to preform threepoint
+    nodes = getnodes(tree, postorder)
+    n = nleaves(tree)
+
+    if lambda !== missing
+        t = [getnodedata(tree, node).t for node in nodes]
+
+        # info for optimiser
+        lower = [0.0]
+        start = [lambda]
+
+        # upper is going to be largest lambda can be without going past the leaves
+        # want to find longest internal branch
+        intnodeheights = nodeheights(tree, noleaves = true)
+        longnodeheight = maximum(intnodeheights)
+
+        leafnodeheights = nodeheights(tree, onlyleaves = true)
+        shortleafheight = minimum(leafnodeheights)
+
+        upper = [shortleafheight / longnodeheight]
+
+        # optimise to find lambda
+        opts = optimize(x -> tooptimise(x, tree, nodes, trait, n),
+                        lower, upper, start, Fminbox(LBFGS()),
+                        Optim.Options(time_limit = 600))
+        lambda = Optim.minimizer(opts)
+
+        # update internal branches
+        for (i, node) in enumerate(nodes)
+            if !isleaf(tree, node)
+                tupdate = lambda[1] * t[i]
+                getnodedata(tree, node).t = tupdate
+            end
+        end
+    end
+
+    threepoint!(tree, trait, nodes)
+
+    n = nleaves(tree)
+
+    # information from last node
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    betahat = inv(nd.xx) * nd.Q
+    sigmahat = ((nd.yy .- 2 * betahat .* nd.Q' .+ betahat .* nd.xx .* betahat') ./
+                n)
+
+    # NEED TO THINK ABOUT THIS
+    while any(i -> i < 0, diag(sigmahat))
+        leaves = getleaves(tree)
+        for leaf in leaves
+            ld = getnodedata(tree, leaf)
+            ld.value = betahat - ld.value
+        end
+
+        threepoint!(tree, trait, nodes)
+        sigmahat = nd.yy / n
+    end
+
+    k = length(trait)
+
+    negloglik = (1.0 / 2.0) *
+                (n * k * log(2π) + nd.logV + n + n * log(abs(det(sigmahat))))
+
+    return betahat, sigmahat, negloglik, lambda # only return lambda if used
+end
+
+function estimaterates(tree::T, trait::Vector{String};
+                       lambda = missing) where {T <: AbstractTree}
+    # Returns evolution rate, starting value and negative log loglikelihood for traits on tip of tree
+    # INPUTS
+    # tree = tree with lengths, leaves all same length, trait data on leaves
+    # trait = string with name of trait as found on leaves
+    # OUTPUTS
+    # sigmahat - evolution rate
+    # betahat - estimated root trait value
+    # negloglik - negative loglikelihood
+
+    # need to add meaningful error when cant find traits on tree leaves
+
+    nodes = getnodes(tree, anyorder)
+    NTraits = length(trait)
+
+    for node in nodes
+        val = getnodedata(tree, node).value
+        if hasinbound(tree, node)
+            len = _getlength(tree, _getinbound(tree, node))
+            td = traitdata(eltype(nodedatatype(T)), trait, val, len)
+            setnodedata!(tree, node, td)
+        else
+            td = traitdata(eltype(nodedatatype(T)), trait, val)
+            setnodedata!(tree, node, td)
+        end
+    end
+
+    return estimaterates!(tree, trait, lambda)
+end
+
+function tooptimise(lambda::Vector{Float64}, tree::T, nodes::Vector{N},
+                    trait::Vector{String},
+                    n::Int) where
+         {TT, RT, NL, N <: AbstractElt{RT, NL}, B <: AbstractElt{RT, NL},
+          T <: AbstractTree{TT, RT, NL, N, B}}
+    # lambda - value for Signal   
+    # tree - tree
+    # nodes - nodes of the tree in traversal order
+    # t - vector of og branch lengths
+    # trait - string of what trait is called on the tree
+    # N - total number of nodes
+    # n - number of leaves
+
+    for node in nodes
+        # val = getnodedata(tree, node).value
+        if hasinbound(tree, node)
+            len = _getlength(tree, _getinbound(tree, node)) * lambda[1]
+            if isleaf(tree, node)
+                full = getheight(tree, node)
+                len = len + full * (1 - lambda[1])
+            end
+            getnodedata(tree, node).t = len
+        else
+            getnodedata(tree, node).t = 0.0
+        end
+    end
+
+    threepoint!(tree, trait, nodes)
+
+    # information from last node
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    betahat = inv(nd.xx) * nd.Q
+    sigmahat = (nd.yy .- 2 * betahat * nd.Q' .+ betahat * nd.xx * betahat') ./ n
+
+    while any(i -> i < 0, sigmahat)
+        leaves = getleaves(tree)
+        for leaf in leaves
+            ld = getnodedata(tree, leaf)
+            ld.value = betahat - ld.value
+        end
+
+        threepoint!(tree, trait, nodes)
+        sigmahat = nd.yy / n
+    end
+
+    negloglik = (1.0 / 2.0) *
+                (n * log(2π) .+ nd.logV + n + n * log(det(sigmahat)))
+    return negloglik
+end
+
+# ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## #
+
+function threepointmultlambda!(tree::T, trait::Vector{String}, nodes::Vector{N},
+                               C::Matrix{Float64},
+                               lambda::Vector{Float64}) where
+         {TT, RT, NL, N <: AbstractElt{RT, NL}, B <: AbstractElt{RT, NL},
+          T <: AbstractTree{TT, RT, NL, N, B}}
+    # prefrom algortihm in Ho & Ane 2014 for multiple lambda
+    # function estimaterates gets inputs into right form
+
+    for node in nodes
+        nd = getnodedata(tree, node)
+        nodet = nd.t
+
+        C1 = diagm(sqrt.(lambda)) * C * diagm(sqrt.(lambda))
+
+        C1inv = C1^(-1)
+
+        k = length(trait)
+
+        I = diagm(ones(k))
+
+        if isleaf(tree, node)
+            nodetrait = nd.value
+
+            height = heighttoroot(tree, node)
+
+            # update node data
+            nd.logV = log(abs(det(C * height - (height - nodet) * C1)))
+            nd.pmult = inv(height * C * C1inv - (height - nodet) * I)
+            nd.ylmult = repeat(nodetrait, 1, k)
+            nd.xlmult = ones(k)
+            nd.Q = nd.ylmult' * nd.pmult * C1inv * ones(k)
+            nd.xx = ones(k)' * nd.pmult * C1inv * ones(k)
+            nd.yy = nd.ylmult' * nd.pmult * C1inv * nd.ylmult
+
+        else
+            # find direct desendents 
+            children = getchildren(tree, node)
+
+            # child data
+            childdata = getnodedata.(tree, children)
+
+            # calc pA and ws
+            childp = [s.pmult for s in childdata]
+            pA = sum(childp)
+
+            nochildren = length(childp)
+
+            ws = fill(fill(NaN, k, k), nochildren)
+
+            pAinv = pA^(-1)
+            for i in 1:nochildren
+                ws[i] = pAinv * childp[i]
+            end
+
+            # update node data
+            nd.logV = sum(s.logV for s in childdata) +
+                      log(abs(det(I + nodet * pA))) # need to think about why the determinant is negative and if its okay
+            nd.pmult = pA * (I + nodet * pA)^(-1)
+            nd.xlmult = sum(ws .* [s.xlmult for s in childdata]) # dimensions may be wrong here
+            nd.ylmult = sum(ws .* [s.ylmult for s in childdata])
+
+            nd.Q = sum(s.Q for s in childdata) +
+                   nd.ylmult' * nodet * pA^2 * (I + nodet * pA)^(-1) * C1inv *
+                   nd.xlmult
+            nd.xx = sum(s.xx for s in childdata) +
+                    nd.xlmult' * (nodet * pA^2) * (I + nodet * pA)^(-1) *
+                    C1inv * nd.xlmult
+            nd.yy = sum(s.yy for s in childdata) +
+                    nd.ylmult' * nodet * pA^2 * (I + nodet * pA)^(-1) * C1inv *
+                    nd.ylmult
+        end
+        # @assert getnodedata(tree, node) === nd
+    end
+
+    return tree
+end
+
+function tooptimisemultlambda(lambda::Vector{Float64}, C::Matrix{Float64},
+                              tree::T, nodes::Vector{N}, trait::Vector{String},
+                              n::Int) where
+         {TT, RT, NL, N <: AbstractElt{RT, NL}, B <: AbstractElt{RT, NL},
+          T <: AbstractTree{TT, RT, NL, N, B}}
+    # lambda - value for Signal 
+    # C - evolutionary rates and covariances matrix  
+    # tree - tree
+    # nodes - nodes of the tree in traversal order
+    # t - vector of og branch lengths
+    # trait - string of what trait is called on the tree
+    # N - total number of nodes
+    # n - number of leaves
+
+    threepointmultlambda!(tree, trait, nodes, C, lambda)
+    # print after each call to double check runninng
+    print('.')
+
+    # information from last node
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    betahat = inv(nd.xx) * nd.Q
+
+    k = length(trait)
+
+    negloglik = (1.0 / 2.0) * (n * k * log(2π) + nd.logV + n +
+                 log(abs(det((nd.yy - 2 * betahat * nd.Q' +
+                              betahat * nd.xx * betahat')))))
+    return negloglik
+end
+
+function estimaterates!(tree::T, trait::Vector{String},
+                        lambda::Vector{Float64}) where {T <: AbstractTree}
+
+    # gather information from tree in order to preform threepoint
+    nodes = getnodes(tree, postorder)
+    n = nleaves(tree)
+
+    # Get C by running algorithm w/o lambda
+    betahat, C, negloglik = estimaterates(tree, trait)
+    print(C)
+
+    t = [getnodedata(tree, node).t for node in nodes]
+
+    k = length(lambda)
+
+    # info for optimiser
+    lower = fill(floatmin(), k)
+
+    # upper is going to be largest lambda can be without going past the leaves
+    # want to find longest internal branch
+    intnodeheights = nodeheights(tree, noleaves = true)
+    longnodeheight = maximum(intnodeheights)
+
+    leafnodeheights = nodeheights(tree, onlyleaves = true)
+    shortleafheight = minimum(leafnodeheights)
+
+    upper = fill(shortleafheight / longnodeheight, k)
+
+    # lowest value of C, diagonals cant be lower than zero, off diagonals dont have restriction 
+    lowerC = fill(-Inf, k, k)
+
+    for i in 1:k
+        lowerC[i, i] = 0
+    end
+
+    # upper value of C, no restirction
+    upperC = fill(Inf, k, k)
+
+    for i in 1:3
+        # optimise to find lambda
+        optslambda = optimize(x -> tooptimisemultlambda(x, C, tree, nodes,
+                                                        trait, n),
+                              lower, upper, lambda, Fminbox(LBFGS()),
+                              Optim.Options(time_limit = 30))
+        # get lambda value
+        lambda = Optim.minimizer(optslambda)
+        # print to ensure its running and see how it's going
+        print(lambda)
+
+        # optimise to find C
+        optsC = optimize(x -> tooptimisemultlambda(lambda, x, tree, nodes,
+                                                   trait, n),
+                         lowerC, upperC, C, Fminbox(LBFGS()),
+                         Optim.Options(time_limit = 30))
+        # get C value
+        C = Optim.minimizer(optsC)
+    end
+
+    # information from last node
+    nN = last(nodes)
+    nd = getnodedata(tree, nN)
+
+    betahat = inv(nd.xx) * nd.Q
+
+    k = length(trait)
+
+    negloglik = (1.0 / 2.0) * (n * k * log(2π) + nd.logV + n +
+                 log(abs(det((nd.yy - 2 * betahat * nd.Q' +
+                              betahat * nd.xx * betahat')))))
+
+    return betahat, C, negloglik, lambda
+end
+
+# used for Bayes calculations (may move parts to other places)
+
+# define loglikelihood function, used in Bayes methods
+function loglik(n, nd, sigma, beta)
+    return -(1.0 / 2.0) * (n * log(2π) + nd.logV + n * log(abs(sigma)) +
+            abs(sigma)^(-1) * (nd.yy[] - 2 * nd.Q[] * beta + nd.xx * beta^2))
+end
+
+# Need to create own distribution to use threepoint to calculate likelihood
+# also needs renamed
+mutable struct MyDist2{T <: AbstractTree, N <: Number} <:
+               ContinuousMultivariateDistribution
+    sigma::N
+    beta::N
+    tree::T
+end
+
+eltype(::MD) where {T, N <: Number, MD <: MyDist2{T, N}} = N
+eltype(::Type{MD}) where {T, N <: Number, MD <: MyDist2{T, N}} = N
+
+# rand creates a vector of tip trait values dependent on the tree, sigma (rate of evolution) and beta (root trait value)
+function Distributions.rand(rng::AbstractRNG, d::MyDist2)
+    a = BrownianTrait(d.tree, "BMtrait", σ² = d.sigma)
+    bm_traits = rand(a)
+    z = [bm_traits[leaf] for leaf in getleafnames(d.tree, postorder)]
+    return z
+end
+
+# define logpdf for my dist
+function Distributions.logpdf(d::MyDist2, z::Vector{Float64})
+    # add errors for if tree doesnt have right data
+
+    n = nleaves(d.tree)
+    nodes = getnodes(d.tree, postorder)
+    trait = getnodedata(d.tree, nodes[1]).name
+
+    threepoint!(d.tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(d.tree, nN)
+
+    return loglik(n, nd, d.sigma, d.beta)
+end
+
+# Bayes threepoint signal
+# needs renamed
+struct MyDist3{T <: AbstractTree, N <: Number} <:
+       ContinuousMultivariateDistribution
+    sigma::N
+    beta::N
+    lambda::N
+    tree::T
+end
+
+function eltype(::MD) where {T <: AbstractTree, N <: Number, MD <:
+                                                             MyDist3{T, N}}
+    return eltype(nodedatatype(T))
+end
+function eltype(::Type{MD}) where {T <: AbstractTree, N <: Number,
+                                   MD <: MyDist3{T, N}}
+    return eltype(nodedatatype(T))
+end
+
+# rand creates a vector of tip trait values dependent on the tree, sigma (rate of evolution) and beta (root trait value)
+function Distributions.rand(rng::AbstractRNG, d::MyDist3) # incorrect but can fix later
+    a = BrownianTrait(d.tree, "BMtrait", σ² = d.sigma)
+    bm_traits = rand(rng, a)
+
+    z = [bm_traits[leaf] for leaf in getleafnames(d.tree, postorder)]
+    return z
+end
+
+# define logpdf for my dist
+function Distributions.logpdf(d::MD, z::Vector{Float64}) where {MD <: MyDist3}
+    # add errors for if tree doesnt have right data
+
+    n = nleaves(d.tree)
+    nodes = getnodes(d.tree, postorder)
+    trait = getnodedata(d.tree, nodes[1]).name
+
+    # multiply internal branches by lambda
+    for node in nodes
+        if isleaf(d.tree, node)
+            getnodedata(d.tree, node).t = d.lambda *
+                                          getlength(d.tree,
+                                                    getinbound(d.tree, node)) +
+                                          (1.0 - d.lambda) *
+                                          heighttoroot(d.tree, node)
+        elseif isroot(d.tree, node)
+            getnodedata(d.tree, node).t = zero(d.lambda)
+        else
+            getnodedata(d.tree, node).t = d.lambda *
+                                          getlength(d.tree,
+                                                    getinbound(d.tree, node))
+        end
+    end
+
+    threepoint!(d.tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(d.tree, nN)
+
+    return loglik(n, nd, d.sigma, d.beta)
+end
+
+#= Need to use method at then of three point paper
+mutable struct MyDistMult{T <: AbstractTree, M <: Matrix, V <: Vector} <:
+        ContinuousMultivariateDistribution
+    sigma::M
+    beta::V
+    tree::T
+end
+
+eltype(::MD) where {T, N <: Number, MD <: MyDistMult{T, N}} = N
+eltype(::Type{MD}) where {T, N <: Number, MD <: MyDistMult{T, N}} = N
+
+# rand creates a vector of tip trait values dependent on the tree, sigma (rate of evolution) and beta (root trait value)
+function Distributions.rand(rng::AbstractRNG, d::MyDistMult) #need to think about will depend on the number of traits
+    a = BrownianTrait(d.tree, "BMtrait", σ² = d.sigma)
+    bm_traits = rand(a)
+    z = [bm_traits[leaf] for leaf in getleafnames(d.tree, postorder)]
+    return z
+end
+
+function loglik2(n, nd, sigma, beta)
+    return -(1.0 / 2.0) * (n * log(2π) + nd.logV + n * log(abs(sigma)) +
+            abs(sigma)^(-1) * (nd.yy[] - 2 * nd.Q[] * beta + nd.xx * beta^2))
+end
+
+# define logpdf for my dist
+function Distributions.logpdf(d::MyDistMult, z::Vector{Float64})
+    # add errors for if tree doesnt have right data
+
+    n = nleaves(d.tree)
+    nodes = getnodes(d.tree, postorder)
+    trait = getnodedata(d.tree, nodes[1]).name
+
+    threepoint!(d.tree, trait, nodes)
+
+    nN = last(nodes)
+    nd = getnodedata(d.tree, nN)
+
+    return loglik2(n, nd, d.sigma, d.beta)
+end
+
+=#
+# PIC calculations, ignore for now
+# ## ## ## ## ## ## ## ## ## ## ## ## ## ## #
+#=
+function pic!(tree::T, trait::Vector{String}, nodes::Vector{N}, lambda::Vector{Float64}) where 
+    {TT, RT, NL, N <: AbstractElt{RT, NL}, B <: AbstractElt{RT, NL},
+     T <: AbstractTree{TT, RT, NL, N, B}}
+    # prefrom algortihm in Ho & Ane 2014
+    # function estimaterates gets inputs into right form
+    # nodes - vector of nodes in the traversal order
+
+    # number of internal nodes
+    internal = nleaves(tree)
+
+    # number or traits
+    k = length(trait)
+
+    # get length of whole tree
+    full = getheight(tree, node)
+
+    # create empty vectors, u and V to store things in for later
+    U = fill(fill(NaN, k), internal)
+    V = fill(fill(NaN, k), internal)
+
+    # use i to count which elements of u and V to be updated
+    i=1
+
+    for node in nodes
+        nd = getnodedata(tree, node)
+        nodet = nd.t
+
+        # need to see if node is a tip (leaf)
+        if isleaf(tree, node)
+
+            # for Freckleton likelihood calculations
+            nd.v = nodet * ones(k) .+ full * ones(k) .* (ones(k) .- lambda)
+
+        else
+            # need to find direct desendents 
+            children = getchildren(tree, node)
+
+            # child data
+            childdata = getnodedata.(tree, children)
+
+            # for Freckleton likelihood calculations
+            # assuming two children
+            child1value = childdata[1].value
+            child2value = childdata[2].value
+            child1v = childdata[1].v
+            child2v = childdata[2].v
+
+            U[i] = abs.(child1value - child2value) 
+            V[i] = child1v .+ child2v
+
+            nd.value = ((child1value ./ child1v) .+ (child2value ./ child2v)) ./ ((1 / child1v) .+ (1 / child2v))
+            nd.v = nodet * ones(k) .* lambda .+ (child1v .* child2v) ./ (child1v .+ child2v)
+
+            i=i+1
+        end
+        # @assert getnodedata(tree, node) === nd
+    end
+end
+
+    function estimateratespic!(tree::T, trait::Vector{String}, lambda) where T <: AbstractTree
+
+        # get information from tree in order to preform threepoint
+        nodes = getnodes(tree, postorder)
+        n = nleaves(tree)
+
+        a = threepointflambda!(tree, trait, nodes)
+
+        tree = a[1]
+        U = a[2]
+        V = a[3]
+
+        # information from last node
+        nN = last(nodes)
+        nd = getnodedata(tree, nN)
+
+        # Freckleton calculations
+        k = length(trait)
+
+        UU = fill(fill(NaN, k, k), n)
+
+        for i in 1:n
+            UU[i] = U[i] * U[i]' / V[i]
+        end
+
+        sigma2 = 1/(n) * sum(UU) # I have wrong off diagonals  - try and use R code?
+
+        UCU = fill(NaN, n)
+
+       for i in 1:n
+            UCU[i] = ((V[i] .* U[i])' * sigma2^(-1) * (V[i] .* U[i]))  
+        end
+
+        nll2 = (1.0 / 2.0) * (n * k * log(2π) + n * log(det(sigma2)) + sum(log.(V)) + sum(UCU)) 
+
+        beta = nd.value
+
+        return lambda, beta, sigma2, nll2 # only return lambda if used
+    end
+
+    function estimateratespic(tree::T, trait::Vector{String}; lambda = missing) where T <: AbstractTree
+        # Returns evolution rate, starting value and negative log loglikelihood for traits on tip of tree
+        # INPUTS
+        # tree = tree with lengths, leaves all same length, trait data on leaves
+        # trait = string with name of trait as found on leaves
+        # OUTPUTS
+        # sigmahat - evolution rate
+        # betahat - estimated root trait value
+        # negloglik - negative loglikelihood
+
+        # need to add meaningful error when cant find traits on tree leaves
+
+        nodes = getnodes(tree, anyorder)
+        NTraits = length(trait)
+
+        for node in nodes
+            val = getnodedata(tree, node).value
+            if hasinbound(tree, node)
+                len = _getlength(tree, _getinbound(tree, node))
+                td = traitdata(trait, val, len)
+                setnodedata!(tree, node, td)
+            else
+                td = traitdata(trait, val)
+                setnodedata!(tree, node, td)
+            end
+        end
+
+        if lambda == missing
+            lambda = ones(NTraits)
+        end
+
+        return estimateratesflambda!(tree, trait, lambda)
+    end
+
+=#
diff --git a/src/newick.jl b/src/newick.jl
index 94ce2a70..162bb0e8 100644
--- a/src/newick.jl
+++ b/src/newick.jl
@@ -2,7 +2,7 @@
 
 #=
 # Tree → Subtree ";"
-# Subtree → Leaf | Internal
+# Subtree → Leaf | Internal
 # Leaf → Name
 # Internal → "(" BranchSet ")" Name_or_Support
 # BranchSet → Branch | Branch "," BranchSet
diff --git a/src/trim.jl b/src/trim.jl
index e7a70dbe..d95fc787 100644
--- a/src/trim.jl
+++ b/src/trim.jl
@@ -13,24 +13,30 @@ include tips or root.
 getinternalnodes(t::AbstractTree) = collect(nodenamefilter(isinternal, t))
 
 """
-    droptips!(tree::AbstractTree{OneTree}, tips)
+    droptips!(tree::AbstractTree{OneTree}, tips; keep = false)
 
 Function to drop tips from a phylogenetic tree `tree`, which are found in
-the vector of tips or tip names, `tips`.
+the vector of tips or tip names, `tips`. `keep` determines whether to keep
+internal and root nodes that now only have one child (default is `false`).
+Internal nodes with no children will always be removed.
 """
 function droptips! end
 @traitfn function droptips!(tree::T,
-                            tips::AbstractVector{N}) where
-                  {N, RT,
-                   T <: AbstractTree{OneTree, RT, N}; !MatchNodeType{T, N}}
-    return droptips!(tree, [getnode(tree, tip) for tip in tips])
+                            tips::AbstractVector{N};
+                            keep::Bool = false) where
+                  {N, RT, NL,
+                   T <: AbstractTree{OneTree, RT, NL}; !MatchNodeType{T, N}}
+    return isempty(tips) ? NL[] :
+           droptips!(tree, [getnode(tree, tip) for tip in tips], keep = keep)
 end
 
 @traitfn function droptips!(tree::T,
-                            tips::AbstractVector{N}) where
-                  {N, RT, T <: AbstractTree{OneTree, RT}; MatchNodeType{T, N}}
-    keep_tips = [tip for tip in getleaves(tree) if tip ∉ tips]
-    tipnames = [getnodename(tree, tip) for tip in tips]
+                            tips::AbstractVector{N};
+                            keep::Bool = false) where
+                  {N, RT, NL,
+                   T <: AbstractTree{OneTree, RT, NL}; MatchNodeType{T, N}}
+    keep_tips = N[tip for tip in getleaves(tree) if tip ∉ tips]
+    tipnames = NL[getnodename(tree, tip) for tip in tips]
 
     # Remove nodes that are not in tip names
     for tip in tips
@@ -43,26 +49,28 @@ end
         map(x -> deletenode!(tree, x), nodes)
     end
 
-    # Merge internal nodes that no longer have multiple children
-    while any(map(x -> length(getchildren(tree, x)) .< 2,
-                  getinternalnodes(tree)))
-        inner_nodes = getinternalnodes(tree)
-        remove_nodes = findall(map(x -> length(getchildren(tree, x)) .< 2,
-                                   inner_nodes))
-        for i in remove_nodes
-            parent = getparent(tree, inner_nodes[i])
-            parentbranch = getinbound(tree, inner_nodes[i])
+    if !keep
+        # Merge internal nodes that no longer have multiple children
+        while any(map(x -> length(getchildren(tree, x)) .< 2,
+                      getinternalnodes(tree)))
+            inner_nodes = getinternalnodes(tree)
+            remove_nodes = findall(map(x -> length(getchildren(tree, x)) .< 2,
+                                       inner_nodes))
+            for i in remove_nodes
+                parent = getparent(tree, inner_nodes[i])
+                parentbranch = getinbound(tree, inner_nodes[i])
 
-            child = getchildren(tree, inner_nodes[i])[1]
-            childbranch = getoutbounds(tree, getnode(tree, inner_nodes[i]))[1]
+                child = getchildren(tree, inner_nodes[i])[1]
+                childbranch = getoutbounds(tree, getnode(tree, inner_nodes[i]))[1]
 
-            len = distance(tree, parent, child)
+                len = distance(tree, parent, child)
 
-            deletebranch!(tree, parentbranch)
-            deletebranch!(tree, childbranch)
-            deletenode!(tree, inner_nodes[i])
+                deletebranch!(tree, parentbranch)
+                deletebranch!(tree, childbranch)
+                deletenode!(tree, inner_nodes[i])
 
-            createbranch!(tree, parent, child, len)
+                createbranch!(tree, parent, child, len)
+            end
         end
     end
 
@@ -78,26 +86,31 @@ end
                                                getiterator(getleafinfo(tree))))
         setleafinfo!(tree, li)
     end
+
     return tipnames
 end
 
 """
-    keeptips!(tree::AbstractTree{OneTree}, tips)
+    keeptips!(tree::AbstractTree{OneTree}, tips; keep = false)
 
 Function to keep only the tips in a phylogenetic tree, `tree`, that are found in
-the vector of tips or tip names, `tips`.
+the vector of tips or tip names, `tips`. `keep` determines whether to keep
+internal and root nodes that now only have one child (default is `false`).
+Internal nodes with no children will always be removed.
 """
 function keeptips! end
 @traitfn function keeptips!(tree::T,
-                            tips::AbstractVector{N}) where
+                            tips::AbstractVector{N};
+                            keep::Bool = false) where
                   {N, RT,
-                   T <: AbstractTree{OneTree, RT, N}; !MatchNodeType{T, N}}
-    return keeptips!(tree, [getnode(tree, tip) for tip in tips])
+                   T <: AbstractTree{OneTree, RT}; !MatchNodeType{T, N}}
+    return keeptips!(tree, [getnode(tree, tip) for tip in tips], keep = keep)
 end
 
 @traitfn function keeptips!(tree::T,
-                            tips::AbstractVector{N}) where
+                            tips::AbstractVector{N};
+                            keep::Bool = false) where
                   {N, RT, T <: AbstractTree{OneTree, RT}; MatchNodeType{T, N}}
-    drop_tips = [tip for tip in getleaves(tree) if tip ∉ tips]
-    return droptips!(tree, drop_tips)
+    drop_tips = N[tip for tip in getleaves(tree) if tip ∉ tips]
+    return droptips!(tree, drop_tips, keep = keep)
 end
diff --git a/test/run_inference.jl b/test/run_inference.jl
new file mode 100644
index 00000000..31d1fdd4
--- /dev/null
+++ b/test/run_inference.jl
@@ -0,0 +1,50 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+module TestInference_wrapped
+
+using Test
+using Phylo
+using RCall
+using DataFrames
+using DynamicPPL
+using ForwardDiff
+
+global skipR = !(rcopy(R"require(ape)") && rcopy(R"require(phylolm)"))
+
+@testset "Compare estimaterates output to phylolm" begin
+    jtree = open(f -> parsenewick(f, TraitTree{1}),
+                 Phylo.path("hummingbirds.tree"))
+
+    # Create dataframe with leafnames and random trait values
+    species = getleafnames(jtree)
+    data = 1000 .* rand(length(species))
+    dat = DataFrame(species = species, data = data)
+
+    # Save data on leaves so can test on estimaterates 2
+    traits = Phylo.traitdata.(Union{Float64,
+                                    ForwardDiff.Dual{ForwardDiff.Tag{DynamicPPL.DynamicPPLTag,
+                                                                     Float64},
+                                                     Float64, 3}}, Ref("trait"),
+                              dat.data)
+    setnodedata!.(jtree, dat.species, traits)
+
+    jfit = nothing
+    @test_nowarn jfit = estimaterates(jtree, ["trait"])
+
+    if !skipR
+        rtree = rcall(Symbol("read.tree"), Phylo.path("hummingbirds.tree"))
+        @rput rtree
+        @rput dat
+
+        # Species need to be the row names in R
+        R"row.names(dat) <- dat$species"
+
+        rfit = rcopy(R"phylolm(data ~ 1, data = dat, phy = rtree)")
+
+        @test rfit[:coefficients] ≈ jfit[1][1]
+        @test rfit[:sigma2] ≈ jfit[2][1]
+        @test rfit[:logLik] ≈ -jfit[3][1]
+    end
+end
+
+end
diff --git a/test/run_rcall.jl b/test/run_rcall.jl
index 5a9a17d3..39132fdd 100644
--- a/test/run_rcall.jl
+++ b/test/run_rcall.jl
@@ -7,7 +7,11 @@ using RCall
 using DataFrames
 
 global skipR = !rcopy(R"require(ape)")
-
+if skipR
+    @warn "Skipping RCall tests, no ape package found"
+else
+    @info "Running RCall tests"
+end
 # Run tree comparisons on increasing numbers of tips
 @testset "RCall - testing Phylo vs ape" begin
     @testset "For $TreeType" for TreeType in (skipR ? [] :
diff --git a/test/test_RecursiveTree.jl b/test/test_RecursiveTree.jl
index f2719714..631b24d9 100644
--- a/test/test_RecursiveTree.jl
+++ b/test/test_RecursiveTree.jl
@@ -126,23 +126,23 @@ end
     tree = rand(Nonultrametric(species))
     @test validate!(tree)
 
-    # Missing node input
+    # Missing node input
     tree = rand(Nonultrametric(species))
     getnode(tree, species[1]).in = nothing
     @test !validate!(tree)
 
-    # Missing node exit
+    # Missing node exit
     tree = rand(Nonultrametric(species))
     empty!(getnode(tree, species[1]).in.in.conns)
     @test !validate!(tree)
 
-    # Missing branch input
+    # Missing branch input
     tree = rand(Nonultrametric(species))
     b = getinbound(tree, species[1])
     b.in = nothing
     @test !validate!(tree)
 
-    # Missing branch exit
+    # Missing branch exit
     tree = rand(Nonultrametric(species))
     b = getinbound(tree, species[1])
     empty!(b.conns)
diff --git a/test/test_inference.jl b/test/test_inference.jl
new file mode 100644
index 00000000..8a466e1e
--- /dev/null
+++ b/test/test_inference.jl
@@ -0,0 +1,26 @@
+# SPDX-License-Identifier: BSD-2-Clause
+
+module TestInference
+
+# Environment variable to avoid boring R package builds
+mustCrossvalidate = haskey(ENV, "JULIA_MUST_CROSSVALIDATE") &&
+                    ENV["JULIA_MUST_CROSSVALIDATE"] == "1"
+
+# Only run R on unix or when R is installed because JULIA_MUST_CROSSVALIDATE is set to 1
+global skipR = !(mustCrossvalidate || Sys.isunix())
+try
+    skipR && error("Not on unix...")
+    using RCall
+    global skipR = false
+catch
+    global skipR = true
+    if mustCrossvalidate
+        error("R not installed, JULIA_MUST_CROSSVALIDATE set")
+    else
+        @warn "R not installed, skipping R cross-validation."
+    end
+end
+
+!skipR && include("run_inference.jl")
+
+end
diff --git a/test/test_trim.jl b/test/test_trim.jl
index 3b17c5db..0bef0eab 100644
--- a/test/test_trim.jl
+++ b/test/test_trim.jl
@@ -35,10 +35,18 @@ end
     @test Set(tips) == Set(tips2)
     @test validate!(test_tree)
     @test validate!(test_tree2)
+    @test isempty(droptips!(test_tree2, nodetype(typeof(test_tree2))[]))
+    @test isempty(droptips!(test_tree, String[]))
 
     tdf = rand(Ultrametric(df))
     @test ["Dog"] == droptips!(tdf, ["Dog"])
     @test length(getiterator(getleafinfo(tdf))) == 2
+
+    test_keep = rand(Ultrametric(10))
+    droptips!(test_keep, ["tip 1"], keep = true)
+    test_dont = rand(Ultrametric(10))
+    droptips!(test_dont, ["tip 1"])
+    @test nnodes(test_keep) == nnodes(test_dont) + 1
 end
 
 end