diff --git a/Manifest.toml b/Manifest.toml
index 6443f3a..9203395 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -1,8 +1,8 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.10.4"
+julia_version = "1.10.0"
 manifest_format = "2.0"
-project_hash = "877f741129f5e0c9593e3dba663209ed4db1ddfe"
+project_hash = "7e0d4e675a818435e13b52e2c09aa067729b86ef"
 
 [[deps.ADNLPModels]]
 deps = ["ADTypes", "ForwardDiff", "LinearAlgebra", "NLPModels", "Requires", "ReverseDiff", "SparseArrays", "SparseConnectivityTracer", "SparseMatrixColorings"]
@@ -11,9 +11,9 @@ uuid = "54578032-b7ea-4c30-94aa-7cbd1cce6c9a"
 version = "0.8.2"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "fa0822e5baee6e23081c2685ae27265dabee23d8"
+git-tree-sha1 = "2314e58e823f0fd6ee02dbbecb997370f501dd4a"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "1.4.0"
+version = "1.5.0"
 weakdeps = ["ChainRulesCore", "EnzymeCore"]
 
     [deps.ADTypes.extensions]
@@ -266,7 +266,7 @@ weakdeps = ["Dates", "LinearAlgebra"]
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
-version = "1.1.1+0"
+version = "1.0.5+1"
 
 [[deps.CompositeTypes]]
 git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768"
@@ -368,10 +368,10 @@ version = "6.151.4"
     Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [[deps.DiffEqCallbacks]]
-deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "Functors", "LinearAlgebra", "Markdown", "NLsolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "ee954c8b9d348b7a8a6aec5f28288bf5adecd4ee"
+deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "Functors", "LinearAlgebra", "Markdown", "NonlinearSolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
+git-tree-sha1 = "c959cfd2657d16beada157a74d52269e8556500e"
 uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
-version = "2.37.0"
+version = "3.6.2"
 
     [deps.DiffEqCallbacks.weakdeps]
     OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
@@ -469,10 +469,16 @@ uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
 version = "0.9.3"
 
 [[deps.DomainSets]]
-deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays", "Statistics"]
-git-tree-sha1 = "51b4b84d33ec5e0955b55ff4b748b99ce2c3faa9"
+deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "490392af2c7d63183bfa2c8aaa6ab981c5ba7561"
 uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
-version = "0.6.7"
+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"]
@@ -491,6 +497,24 @@ git-tree-sha1 = "30a1848c4f4fc35d1d4bbbd125650f6a11b5bc6c"
 uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
 version = "0.5.7"
 
+[[deps.DynamicQuantities]]
+deps = ["Compat", "PackageExtensionCompat", "Tricks"]
+git-tree-sha1 = "412b25c7d99ec6b06967d315c7b29bb8e484f092"
+uuid = "06fc5a27-2a28-4c7c-a15d-362465fb6821"
+version = "0.13.2"
+
+    [deps.DynamicQuantities.extensions]
+    DynamicQuantitiesLinearAlgebraExt = "LinearAlgebra"
+    DynamicQuantitiesMeasurementsExt = "Measurements"
+    DynamicQuantitiesScientificTypesExt = "ScientificTypes"
+    DynamicQuantitiesUnitfulExt = "Unitful"
+
+    [deps.DynamicQuantities.weakdeps]
+    LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    ScientificTypes = "321657f4-b219-11e9-178b-2701a2544e81"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
+
 [[deps.EnumX]]
 git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
 uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
@@ -512,34 +536,33 @@ version = "0.5.2"
 
 [[deps.ExaModels]]
 deps = ["NLPModels", "Printf", "SolverCore"]
-git-tree-sha1 = "606d0f6c1bcdda9ec7841a4892337b00814e2334"
+git-tree-sha1 = "68888f0d012aae809dbbe90f5ea6e1c8c5c5f737"
 uuid = "1037b233-b668-4ce9-9b63-f9f681f55dd2"
-version = "0.5.0"
+version = "0.7.1"
 
     [deps.ExaModels.extensions]
     ExaModelsAMDGPU = "AMDGPU"
     ExaModelsCUDA = "CUDA"
+    ExaModelsIpopt = ["MathOptInterface", "NLPModelsIpopt"]
     ExaModelsJuMP = "JuMP"
     ExaModelsKernelAbstractions = "KernelAbstractions"
     ExaModelsMOI = "MathOptInterface"
+    ExaModelsMadNLP = ["MadNLP", "MathOptInterface"]
     ExaModelsOneAPI = "oneAPI"
     ExaModelsSpecialFunctions = "SpecialFunctions"
 
     [deps.ExaModels.weakdeps]
     AMDGPU = "21141c5a-9bdb-4563-92ae-f87d6854732e"
     CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    Ipopt = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
     JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
     KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
+    MadNLP = "2621e9c9-9eb4-46b1-8089-e8c72242dfb6"
     MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+    NLPModelsIpopt = "f4238b75-b362-5c4c-b852-0801c9a21d71"
     SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
     oneAPI = "8f75cd03-7ff8-4ecb-9b8f-daf728133b1b"
 
-[[deps.ExponentialUtilities]]
-deps = ["Adapt", "ArrayInterface", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "PrecompileTools", "Printf", "SparseArrays", "libblastrampoline_jll"]
-git-tree-sha1 = "8e18940a5ba7f4ddb41fe2b79b6acaac50880a86"
-uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
-version = "1.26.1"
-
 [[deps.ExprTools]]
 git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
 uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
@@ -583,6 +606,11 @@ weakdeps = ["PDMats", "SparseArrays", "Statistics"]
     FillArraysSparseArraysExt = "SparseArrays"
     FillArraysStatisticsExt = "Statistics"
 
+[[deps.FindFirstFunctions]]
+git-tree-sha1 = "e90fef90f7d75e6a5b435b0fd65609759f99717a"
+uuid = "64ca27bc-2ba2-4a57-88aa-44e436879224"
+version = "1.2.0"
+
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
 git-tree-sha1 = "2de436b72c3422940cbe1367611d137008af7ec3"
@@ -647,12 +675,6 @@ git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950"
 uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
 version = "0.1.6"
 
-[[deps.GenericSchur]]
-deps = ["LinearAlgebra", "Printf"]
-git-tree-sha1 = "af49a0851f8113fcfae2ef5027c6d49d0acec39b"
-uuid = "c145ed77-6b09-5dd9-b285-bf645a82121e"
-version = "0.5.4"
-
 [[deps.Glob]]
 git-tree-sha1 = "97285bbd5230dd766e9ef6749b80fc617126d496"
 uuid = "c27321d9-0574-5035-807b-f59d2c89b15c"
@@ -1124,10 +1146,10 @@ version = "1.2.0"
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.ModelingToolkit]]
-deps = ["AbstractTrees", "ArrayInterface", "Combinatorics", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "ForwardDiff", "FunctionWrappersWrappers", "Graphs", "IfElse", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "LabelledArrays", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "MacroTools", "NaNMath", "OrdinaryDiffEq", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
-git-tree-sha1 = "082c90f19d8d5be0f441e61e4cc7d616bef4de24"
+deps = ["AbstractTrees", "ArrayInterface", "Combinatorics", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "DynamicQuantities", "ExprTools", "FindFirstFunctions", "ForwardDiff", "FunctionWrappersWrappers", "Graphs", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "LabelledArrays", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "NaNMath", "NonlinearSolve", "OrderedCollections", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "SciMLStructures", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
+git-tree-sha1 = "8d43517ec8d9895f7d5f661167c05f54146a769d"
 uuid = "961ee093-0014-501f-94e3-6117800e7a78"
-version = "8.76.0"
+version = "9.19.0"
 
     [deps.ModelingToolkit.extensions]
     MTKBifurcationKitExt = "BifurcationKit"
@@ -1160,9 +1182,9 @@ version = "1.4.5"
 
 [[deps.NLPModels]]
 deps = ["FastClosures", "LinearAlgebra", "LinearOperators", "Printf", "SparseArrays"]
-git-tree-sha1 = "51b458add76a938917772ee661ffb9d59b4c7e5d"
+git-tree-sha1 = "9b2ede4609f98b0b0e8bf11b9ea28e4ff5d7aba3"
 uuid = "a4795742-8479-5a88-8948-cc11e1c8c1a6"
-version = "0.20.0"
+version = "0.21.1"
 
 [[deps.NLPModelsIpopt]]
 deps = ["Ipopt", "NLPModels", "SolverCore"]
@@ -1271,7 +1293,7 @@ version = "0.3.24+0"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.23+4"
+version = "0.3.23+2"
 
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1328,22 +1350,16 @@ version = "1.2.0"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.OptimizationMOI]]
-deps = ["MathOptInterface", "ModelingToolkit", "Optimization", "Reexport", "SparseArrays", "SymbolicIndexingInterface", "Symbolics"]
-git-tree-sha1 = "75c381f438afd5c474f460442af6738d6d597b76"
+deps = ["MathOptInterface", "ModelingToolkit", "Optimization", "Reexport", "SciMLStructures", "SparseArrays", "SymbolicIndexingInterface", "Symbolics"]
+git-tree-sha1 = "065ed47c8bb8012e8fefc0d723f4b8e1511ad768"
 uuid = "fd9f6733-72f4-499f-8506-86b2bdd0dea1"
-version = "0.4.0"
+version = "0.4.2"
 
 [[deps.OrderedCollections]]
 git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
 version = "1.6.3"
 
-[[deps.OrdinaryDiffEq]]
-deps = ["ADTypes", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FillArrays", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "IfElse", "InteractiveUtils", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "MacroTools", "MuladdMacro", "NonlinearSolve", "Polyester", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "SimpleUnPack", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces"]
-git-tree-sha1 = "b4cde20f0e8c67fd35863794d5e548722f7bb71d"
-uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
-version = "6.84.0"
-
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
 git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
@@ -1652,11 +1668,6 @@ 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"
 
@@ -1841,16 +1852,16 @@ uuid = "19f23fe9-fdab-4a78-91af-e7b7767979c3"
 version = "0.2.1"
 
 [[deps.SymbolicUtils]]
-deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TimerOutputs", "Unityper"]
-git-tree-sha1 = "669e43e90df46fcee4aa859b587da7a7948272ac"
+deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"]
+git-tree-sha1 = "79813de27af70906d223fbd89ad90dba3d88a2b0"
 uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
-version = "1.5.1"
+version = "2.0.2"
 
 [[deps.Symbolics]]
-deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "ForwardDiff", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils"]
-git-tree-sha1 = "4104548fff14d7370b278ee767651d6ec61eb195"
+deps = ["ADTypes", "ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "ForwardDiff", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
+git-tree-sha1 = "3669f8eba2720c595e16b038f33cb880c12ef7f7"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "5.28.0"
+version = "5.30.3"
 
     [deps.Symbolics.extensions]
     SymbolicsGroebnerExt = "Groebner"
@@ -1886,6 +1897,11 @@ deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
 version = "1.10.0"
 
+[[deps.TermInterface]]
+git-tree-sha1 = "6f0cee95e74d1f6891ba6b35b8b219fd3d11b567"
+uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
+version = "0.4.1"
+
 [[deps.TerminalLoggers]]
 deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
 git-tree-sha1 = "f133fab380933d042f6796eda4e130272ba520ca"
diff --git a/Project.toml b/Project.toml
index c18115a..a2689a9 100644
--- a/Project.toml
+++ b/Project.toml
@@ -16,9 +16,10 @@ PowerModels = "c36e90e8-916a-50a6-bd94-075b64ef4655"
 
 [compat]
 ADNLPModels = "0.8.2"
-ExaModels = "0.5"
+ExaModels = "0.7"
 Ipopt = "1"
 JuMP = "1.15"
+ModelingToolkit = "9"
 NLPModelsIpopt = "0.10"
 Nonconvex = "2"
 NonconvexIpopt = "0.4"
diff --git a/variants/Manifest.toml b/variants/Manifest.toml
index 6a5f4bd..2dfbab1 100644
--- a/variants/Manifest.toml
+++ b/variants/Manifest.toml
@@ -5,9 +5,14 @@ manifest_format = "2.0"
 project_hash = "6a701e04ff69f311c659dce492a803c8bf9a32c1"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "41c37aa88889c171f1300ceac1313c06e891d245"
+git-tree-sha1 = "2314e58e823f0fd6ee02dbbecb997370f501dd4a"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "0.2.6"
+version = "1.5.0"
+weakdeps = ["ChainRulesCore", "EnzymeCore"]
+
+    [deps.ADTypes.extensions]
+    ADTypesChainRulesCoreExt = "ChainRulesCore"
+    ADTypesEnzymeCoreExt = "EnzymeCore"
 
 [[deps.ASL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -20,16 +25,43 @@ 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 = "0fb305e0253fd4e833d486914367a2ee2c2e78d0"
+git-tree-sha1 = "6a55b747d1812e699320963ffde36f1ebdda4099"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "4.0.1"
+version = "4.0.4"
 weakdeps = ["StaticArrays"]
 
     [deps.Adapt.extensions]
     AdaptStaticArraysExt = "StaticArrays"
 
+[[deps.AliasTables]]
+deps = ["PtrArrays", "Random"]
+git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff"
+uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8"
+version = "1.1.3"
+
 [[deps.AmplNLWriter]]
 deps = ["LinearAlgebra", "MathOptInterface", "OpenBLAS32_jll"]
 git-tree-sha1 = "f4f173862290b70606462f622bf4756c214baa44"
@@ -42,21 +74,24 @@ version = "1.1.1"
 
 [[deps.ArnoldiMethod]]
 deps = ["LinearAlgebra", "Random", "StaticArrays"]
-git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae"
+git-tree-sha1 = "d57bd3762d308bded22c3b82d033bff85f6195c6"
 uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
-version = "0.2.0"
+version = "0.4.0"
 
 [[deps.ArrayInterface]]
-deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "c5aeb516a84459e0318a02507d2261edad97eb75"
+deps = ["Adapt", "LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "ed2ec3c9b483842ae59cd273834e5b46206d6dda"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.7.1"
+version = "7.11.0"
 
     [deps.ArrayInterface.extensions]
     ArrayInterfaceBandedMatricesExt = "BandedMatrices"
     ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
     ArrayInterfaceCUDAExt = "CUDA"
+    ArrayInterfaceCUDSSExt = "CUDSS"
+    ArrayInterfaceChainRulesExt = "ChainRules"
     ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
+    ArrayInterfaceReverseDiffExt = "ReverseDiff"
     ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
     ArrayInterfaceTrackerExt = "Tracker"
 
@@ -64,15 +99,18 @@ version = "7.7.1"
     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"
     StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 
 [[deps.ArrayLayouts]]
 deps = ["FillArrays", "LinearAlgebra"]
-git-tree-sha1 = "64d582bcb9c93ac741234789eeb4f16812413efb"
+git-tree-sha1 = "420e2853770f50e5306b9d96b5a66f26e7c73bc6"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
-version = "1.6.0"
+version = "1.9.4"
 weakdeps = ["SparseArrays"]
 
     [deps.ArrayLayouts.extensions]
@@ -86,9 +124,9 @@ uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
 [[deps.BenchmarkTools]]
 deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
-git-tree-sha1 = "f1f03a9fa24271160ed7e73051fba3c1a759b53f"
+git-tree-sha1 = "f1dff6729bc61f4d49e140da1af55dcd1ac97b2f"
 uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
-version = "1.4.0"
+version = "1.5.0"
 
 [[deps.Bijections]]
 git-tree-sha1 = "c9b163bd832e023571e86d0b90d9de92a9879088"
@@ -109,15 +147,15 @@ version = "1.0.8+1"
 
 [[deps.CPUSummary]]
 deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
-git-tree-sha1 = "601f7e7b3d36f18790e2caf83a882d88e9b71ff1"
+git-tree-sha1 = "585a387a490f1c4bd88be67eea15b93da5e85db7"
 uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
-version = "0.2.4"
+version = "0.2.5"
 
 [[deps.CSTParser]]
 deps = ["Tokenize"]
-git-tree-sha1 = "b1d309487c04e92253b55c1f803b1d6f0e136920"
+git-tree-sha1 = "0157e592151e39fa570645e2b2debcdfb8a0f112"
 uuid = "00ebfdb7-1f24-5e51-bd34-a7502290713f"
-version = "3.4.1"
+version = "3.4.3"
 
 [[deps.Calculus]]
 deps = ["LinearAlgebra"]
@@ -127,9 +165,9 @@ version = "0.5.1"
 
 [[deps.ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra"]
-git-tree-sha1 = "892b245fdec1c511906671b6a5e1bafa38a727c1"
+git-tree-sha1 = "71acdbf594aab5bbb2cec89b208c41b4c411e49f"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.22.0"
+version = "1.24.0"
 weakdeps = ["SparseArrays"]
 
     [deps.ChainRulesCore.extensions]
@@ -177,9 +215,9 @@ version = "0.3.0"
 
 [[deps.Compat]]
 deps = ["TOML", "UUIDs"]
-git-tree-sha1 = "d2c021fbdde94f6cdaa799639adfeeaa17fd67f5"
+git-tree-sha1 = "b1c55339b7c6c350ee89f2c1604299660525b248"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "4.13.0"
+version = "4.15.0"
 weakdeps = ["Dates", "LinearAlgebra"]
 
     [deps.Compat.extensions]
@@ -191,9 +229,18 @@ uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
 version = "1.0.5+1"
 
 [[deps.CompositeTypes]]
-git-tree-sha1 = "02d2316b7ffceff992f3096ae48c7829a8aa0638"
+git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768"
 uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
-version = "0.1.3"
+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.ConcreteStructs]]
 git-tree-sha1 = "f749037478283d372048690eb3b5f92a79432b34"
@@ -214,9 +261,9 @@ version = "0.1.2"
 
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "c53fc348ca4d40d7b371e71fd52251839080cbc9"
+git-tree-sha1 = "260fd2400ed2dab602a7c15cf10c1933c59930a2"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-version = "1.5.4"
+version = "1.5.5"
 weakdeps = ["IntervalSets", "StaticArrays"]
 
     [deps.ConstructionBase.extensions]
@@ -241,9 +288,9 @@ version = "1.16.0"
 
 [[deps.DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "1fb174f0d48fe7d142e1109a10636bc1d14f5ac2"
+git-tree-sha1 = "1d0a14036acb104d9e89698bd408f63ab58cdc82"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.17"
+version = "0.18.20"
 
 [[deps.DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -255,12 +302,13 @@ deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
 [[deps.DiffEqBase]]
-deps = ["ArrayInterface", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces"]
-git-tree-sha1 = "3089c8295ab6d7c728cd6929121c1b4567457306"
+deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces"]
+git-tree-sha1 = "2c6b7bf16fd850c551a765e313e7522ba455cbfd"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.147.0"
+version = "6.151.4"
 
     [deps.DiffEqBase.extensions]
+    DiffEqBaseCUDAExt = "CUDA"
     DiffEqBaseChainRulesCoreExt = "ChainRulesCore"
     DiffEqBaseDistributionsExt = "Distributions"
     DiffEqBaseEnzymeExt = ["ChainRulesCore", "Enzyme"]
@@ -273,6 +321,7 @@ version = "6.147.0"
     DiffEqBaseUnitfulExt = "Unitful"
 
     [deps.DiffEqBase.weakdeps]
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
     Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
     Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
@@ -285,10 +334,10 @@ version = "6.147.0"
     Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [[deps.DiffEqCallbacks]]
-deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "Functors", "LinearAlgebra", "Markdown", "NLsolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "ee954c8b9d348b7a8a6aec5f28288bf5adecd4ee"
+deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "Functors", "LinearAlgebra", "Markdown", "NonlinearSolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
+git-tree-sha1 = "c959cfd2657d16beada157a74d52269e8556500e"
 uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
-version = "2.37.0"
+version = "3.6.2"
 
     [deps.DiffEqCallbacks.weakdeps]
     OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
@@ -306,6 +355,42 @@ git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
 uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
 version = "1.15.1"
 
+[[deps.DifferentiationInterface]]
+deps = ["ADTypes", "Compat", "DocStringExtensions", "FillArrays", "LinearAlgebra", "PackageExtensionCompat", "SparseArrays", "SparseMatrixColorings"]
+git-tree-sha1 = "23c6df13ad8fcffde4b0596d798911d2e309fc2c"
+uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
+version = "0.5.5"
+
+    [deps.DifferentiationInterface.extensions]
+    DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
+    DifferentiationInterfaceDiffractorExt = "Diffractor"
+    DifferentiationInterfaceEnzymeExt = "Enzyme"
+    DifferentiationInterfaceFastDifferentiationExt = "FastDifferentiation"
+    DifferentiationInterfaceFiniteDiffExt = "FiniteDiff"
+    DifferentiationInterfaceFiniteDifferencesExt = "FiniteDifferences"
+    DifferentiationInterfaceForwardDiffExt = "ForwardDiff"
+    DifferentiationInterfacePolyesterForwardDiffExt = "PolyesterForwardDiff"
+    DifferentiationInterfaceReverseDiffExt = "ReverseDiff"
+    DifferentiationInterfaceSymbolicsExt = "Symbolics"
+    DifferentiationInterfaceTapirExt = "Tapir"
+    DifferentiationInterfaceTrackerExt = "Tracker"
+    DifferentiationInterfaceZygoteExt = ["Zygote", "ForwardDiff"]
+
+    [deps.DifferentiationInterface.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    Diffractor = "9f5e2b26-1114-432f-b630-d3fe2085c51c"
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    FastDifferentiation = "eb9bf01b-bf85-4b60-bf87-ee5de06c00be"
+    FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41"
+    FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    PolyesterForwardDiff = "98d1487c-24ca-40b6-b7ab-df2af84e126b"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
+    Tapir = "07d77754-e150-4737-8c94-cd238a1fb45b"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
+
 [[deps.Distances]]
 deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
 git-tree-sha1 = "66c4c81f259586e8f002eacebc177e1fb06363b0"
@@ -322,10 +407,10 @@ 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"
+deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "9c405847cc7ecda2dc921ccf18b47ca150d7317e"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.107"
+version = "0.25.109"
 
     [deps.Distributions.extensions]
     DistributionsChainRulesCoreExt = "ChainRulesCore"
@@ -344,10 +429,16 @@ uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
 version = "0.9.3"
 
 [[deps.DomainSets]]
-deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays", "Statistics"]
-git-tree-sha1 = "51b4b84d33ec5e0955b55ff4b748b99ce2c3faa9"
+deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "490392af2c7d63183bfa2c8aaa6ab981c5ba7561"
 uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
-version = "0.6.7"
+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"]
@@ -362,9 +453,27 @@ version = "0.6.8"
 
 [[deps.DynamicPolynomials]]
 deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Pkg", "Reexport", "Test"]
-git-tree-sha1 = "0bb0a6f812213ecc8fbbcf472f4a993036858971"
+git-tree-sha1 = "30a1848c4f4fc35d1d4bbbd125650f6a11b5bc6c"
 uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
-version = "0.5.5"
+version = "0.5.7"
+
+[[deps.DynamicQuantities]]
+deps = ["Compat", "PackageExtensionCompat", "Tricks"]
+git-tree-sha1 = "412b25c7d99ec6b06967d315c7b29bb8e484f092"
+uuid = "06fc5a27-2a28-4c7c-a15d-362465fb6821"
+version = "0.13.2"
+
+    [deps.DynamicQuantities.extensions]
+    DynamicQuantitiesLinearAlgebraExt = "LinearAlgebra"
+    DynamicQuantitiesMeasurementsExt = "Measurements"
+    DynamicQuantitiesScientificTypesExt = "ScientificTypes"
+    DynamicQuantitiesUnitfulExt = "Unitful"
+
+    [deps.DynamicQuantities.weakdeps]
+    LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    ScientificTypes = "321657f4-b219-11e9-178b-2701a2544e81"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [[deps.EnumX]]
 git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
@@ -372,20 +481,14 @@ uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.4"
 
 [[deps.EnzymeCore]]
-git-tree-sha1 = "59c44d8fbc651c0395d8a6eda64b05ce316f58b4"
+git-tree-sha1 = "3a3177ba05b4763234819060fb6c2e1613379ca6"
 uuid = "f151be2c-9106-41f4-ab19-57ee4f262869"
-version = "0.6.5"
+version = "0.7.6"
 weakdeps = ["Adapt"]
 
     [deps.EnzymeCore.extensions]
     AdaptExt = "Adapt"
 
-[[deps.ExponentialUtilities]]
-deps = ["Adapt", "ArrayInterface", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "PrecompileTools", "Printf", "SparseArrays", "libblastrampoline_jll"]
-git-tree-sha1 = "8e18940a5ba7f4ddb41fe2b79b6acaac50880a86"
-uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
-version = "1.26.1"
-
 [[deps.ExprTools]]
 git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
 uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
@@ -393,9 +496,9 @@ version = "0.1.10"
 
 [[deps.FastBroadcast]]
 deps = ["ArrayInterface", "LinearAlgebra", "Polyester", "Static", "StaticArrayInterface", "StrideArraysCore"]
-git-tree-sha1 = "a6e756a880fc419c8b41592010aebe6a5ce09136"
+git-tree-sha1 = "2be93e36303143c6fffd07e2222bbade35194d9e"
 uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
-version = "0.2.8"
+version = "0.3.3"
 
 [[deps.FastClosures]]
 git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef"
@@ -404,18 +507,18 @@ version = "0.3.2"
 
 [[deps.FastLapackInterface]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "d576a29bf8bcabf4b1deb9abe88a3d7f78306ab5"
+git-tree-sha1 = "cbf5edddb61a43669710cbc2241bc08b36d9e660"
 uuid = "29a986be-02c6-4525-aec4-84b980013641"
-version = "2.0.1"
+version = "2.0.4"
 
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
-deps = ["LinearAlgebra", "Random"]
-git-tree-sha1 = "5b93957f6dcd33fc343044af3d48c215be2562f1"
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "0653c0a2396a6da5bc4766c43041ef5fd3efbe57"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "1.9.3"
+version = "1.11.0"
 weakdeps = ["PDMats", "SparseArrays", "Statistics"]
 
     [deps.FillArrays.extensions]
@@ -423,11 +526,16 @@ weakdeps = ["PDMats", "SparseArrays", "Statistics"]
     FillArraysSparseArraysExt = "SparseArrays"
     FillArraysStatisticsExt = "Statistics"
 
+[[deps.FindFirstFunctions]]
+git-tree-sha1 = "e90fef90f7d75e6a5b435b0fd65609759f99717a"
+uuid = "64ca27bc-2ba2-4a57-88aa-44e436879224"
+version = "1.2.0"
+
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
-git-tree-sha1 = "73d1214fec245096717847c62d389a5d2ac86504"
+git-tree-sha1 = "2de436b72c3422940cbe1367611d137008af7ec3"
 uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
-version = "2.22.0"
+version = "2.23.1"
 
     [deps.FiniteDiff.extensions]
     FiniteDiffBandedMatricesExt = "BandedMatrices"
@@ -439,11 +547,10 @@ version = "2.22.0"
     BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
     StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 
-[[deps.Formatting]]
-deps = ["Printf"]
-git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
-uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
-version = "0.4.2"
+[[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"]
@@ -468,9 +575,9 @@ version = "0.1.3"
 
 [[deps.Functors]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "166c544477f97bbadc7179ede1c1868e0e9b426b"
+git-tree-sha1 = "8a66c07630d6428eaab3506a0eabfcf4a9edea05"
 uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
-version = "0.4.7"
+version = "0.4.11"
 
 [[deps.Future]]
 deps = ["Random"]
@@ -482,12 +589,6 @@ git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950"
 uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
 version = "0.1.6"
 
-[[deps.GenericSchur]]
-deps = ["LinearAlgebra", "Printf"]
-git-tree-sha1 = "fb69b2a645fa69ba5f474af09221b9308b160ce6"
-uuid = "c145ed77-6b09-5dd9-b285-bf645a82121e"
-version = "0.5.3"
-
 [[deps.Glob]]
 git-tree-sha1 = "97285bbd5230dd766e9ef6749b80fc617126d496"
 uuid = "c27321d9-0574-5035-807b-f59d2c89b15c"
@@ -495,9 +596,9 @@ version = "1.3.1"
 
 [[deps.Graphs]]
 deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
-git-tree-sha1 = "899050ace26649433ef1af25bc17a815b3db52b7"
+git-tree-sha1 = "334d300809ae0a68ceee3444c6e99ded412bf0b3"
 uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
-version = "1.9.0"
+version = "1.11.1"
 
 [[deps.HostCPUFeatures]]
 deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
@@ -523,9 +624,9 @@ uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
 version = "0.1.1"
 
 [[deps.Inflate]]
-git-tree-sha1 = "ea8031dea4aff6bd41f1df8f2fdfb25b33626381"
+git-tree-sha1 = "d1b1b796e47d94588b3757fe84fbf65a5ec4a80d"
 uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
-version = "0.1.4"
+version = "0.1.5"
 
 [[deps.InfrastructureModels]]
 deps = ["JuMP", "Memento"]
@@ -535,9 +636,9 @@ version = "0.7.8"
 
 [[deps.IntelOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "5fdf2fe6724d8caabf43b557b84ce53f3b7e2f6b"
+git-tree-sha1 = "be50fe8df3acbffa0274a744f1a99d29c45a57f4"
 uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
-version = "2024.0.2+0"
+version = "2024.1.0+0"
 
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
@@ -554,11 +655,21 @@ weakdeps = ["Random", "RecipesBase", "Statistics"]
     IntervalSetsRecipesBaseExt = "RecipesBase"
     IntervalSetsStatisticsExt = "Statistics"
 
+[[deps.InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "e7cbed5032c4c397a6ac23d1493f3289e01231c4"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.14"
+weakdeps = ["Dates"]
+
+    [deps.InverseFunctions.extensions]
+    DatesExt = "Dates"
+
 [[deps.Ipopt]]
 deps = ["Ipopt_jll", "LinearAlgebra", "MathOptInterface", "OpenBLAS32_jll", "PrecompileTools"]
-git-tree-sha1 = "6600353576cee7e7388e57e94115f6aee034fb1c"
+git-tree-sha1 = "344df015370d87d9ee6ff0be2f57d0ba81c4d863"
 uuid = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
-version = "1.6.1"
+version = "1.6.3"
 
 [[deps.Ipopt_jll]]
 deps = ["ASL_jll", "Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "MUMPS_seq_jll", "SPRAL_jll", "libblastrampoline_jll"]
@@ -602,9 +713,9 @@ version = "1.14.0"
 
 [[deps.JuMP]]
 deps = ["LinearAlgebra", "MacroTools", "MathOptInterface", "MutableArithmetics", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays"]
-git-tree-sha1 = "4e44cff1595c6c02cdbca4e87ce376e63c33a584"
+git-tree-sha1 = "7e10a0d8b534f2d8e9f712b33488584254624fb1"
 uuid = "4076af6c-e467-56ae-b986-b466b2749572"
-version = "1.20.0"
+version = "1.22.2"
 
     [deps.JuMP.extensions]
     JuMPDimensionalDataExt = "DimensionalData"
@@ -613,16 +724,16 @@ version = "1.20.0"
     DimensionalData = "0703355e-b756-11e9-17c0-8b28908087d0"
 
 [[deps.JuliaFormatter]]
-deps = ["CSTParser", "Combinatorics", "CommonMark", "DataStructures", "Glob", "Pkg", "PrecompileTools", "Tokenize"]
-git-tree-sha1 = "fde717f9e3fe6ffb0336bcc2142cfa71dd9df1f5"
+deps = ["CSTParser", "CommonMark", "DataStructures", "Glob", "Pkg", "PrecompileTools", "Tokenize"]
+git-tree-sha1 = "1c4880cb70a5c6c87ea36deccc3d7f9e7969c18c"
 uuid = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
-version = "1.0.50"
+version = "1.0.56"
 
 [[deps.JumpProcesses]]
-deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "UnPack"]
-git-tree-sha1 = "c451feb97251965a9fe40bacd62551a72cc5902c"
+deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "SymbolicIndexingInterface", "UnPack"]
+git-tree-sha1 = "ed08d89318be7d625613f3c435d1f6678fba4850"
 uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
-version = "9.10.1"
+version = "9.11.1"
 weakdeps = ["FastBroadcast"]
 
     [deps.JumpProcesses.extensions]
@@ -630,15 +741,27 @@ weakdeps = ["FastBroadcast"]
 
 [[deps.KLU]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
-git-tree-sha1 = "01bb1d420d959b9f668e252a5732444a61ff25de"
+git-tree-sha1 = "07649c499349dad9f08dde4243a4c597064663e9"
 uuid = "ef3ab10e-7fda-4108-b977-705223b18434"
-version = "0.5.0"
+version = "0.6.0"
 
 [[deps.Krylov]]
 deps = ["LinearAlgebra", "Printf", "SparseArrays"]
-git-tree-sha1 = "8a6837ec02fe5fb3def1abc907bb802ef11a0729"
+git-tree-sha1 = "267dad6b4b7b5d529c76d40ff48d33f7e94cb834"
 uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
-version = "0.9.5"
+version = "0.9.6"
+
+[[deps.LBFGSB]]
+deps = ["L_BFGS_B_jll"]
+git-tree-sha1 = "e2e6f53ee20605d0ea2be473480b7480bd5091b5"
+uuid = "5be7bae1-8223-5378-bac3-9e7378a2f6e6"
+version = "0.4.1"
+
+[[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"
@@ -647,9 +770,9 @@ version = "1.3.1"
 
 [[deps.LabelledArrays]]
 deps = ["ArrayInterface", "ChainRulesCore", "ForwardDiff", "LinearAlgebra", "MacroTools", "PreallocationTools", "RecursiveArrayTools", "StaticArrays"]
-git-tree-sha1 = "d1f981fba6eb3ec393eede4821bca3f2b7592cd4"
+git-tree-sha1 = "e459fda6b68ea8684b3fcd513d2fd1e5130c4402"
 uuid = "2ee39098-c373-598a-b85f-a56591580800"
-version = "1.15.1"
+version = "1.16.0"
 
 [[deps.LambertW]]
 git-tree-sha1 = "c5ffc834de5d61d00d2b0e18c96267cffc21f648"
@@ -657,10 +780,10 @@ uuid = "984bce1d-4616-540c-a9ee-88d1112d94c9"
 version = "0.4.6"
 
 [[deps.Latexify]]
-deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
-git-tree-sha1 = "f428ae552340899a935973270b8d98e5a31c49fe"
+deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
+git-tree-sha1 = "e0b5cd21dc1b44ec6e64f351976f961e6f31d6c4"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.16.1"
+version = "0.16.3"
 
     [deps.Latexify.extensions]
     DataFramesExt = "DataFrames"
@@ -676,22 +799,24 @@ git-tree-sha1 = "62edfee3211981241b57ff1cedf4d74d79519277"
 uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
 version = "0.1.15"
 
-[[deps.Lazy]]
-deps = ["MacroTools"]
-git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f"
-uuid = "50d2b5c4-7a5e-59d5-8109-a42b560f39c0"
-version = "0.15.1"
-
 [[deps.LazyArrays]]
-deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "MatrixFactorizations", "SparseArrays"]
-git-tree-sha1 = "9cfca23ab83b0dfac93cb1a1ef3331ab9fe596a5"
+deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "SparseArrays"]
+git-tree-sha1 = "fa518725cf83bf6f0c1aecd06adb2ea2d94c4dc6"
 uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
-version = "1.8.3"
-weakdeps = ["StaticArrays"]
+version = "2.0.5"
 
     [deps.LazyArrays.extensions]
+    LazyArraysBandedMatricesExt = "BandedMatrices"
+    LazyArraysBlockArraysExt = "BlockArrays"
+    LazyArraysBlockBandedMatricesExt = "BlockBandedMatrices"
     LazyArraysStaticArraysExt = "StaticArrays"
 
+    [deps.LazyArrays.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+
 [[deps.LazyArtifacts]]
 deps = ["Artifacts", "Pkg"]
 uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
@@ -740,15 +865,16 @@ deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LinearSolve]]
-deps = ["ArrayInterface", "ConcreteStructs", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "Libdl", "LinearAlgebra", "MKL_jll", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
-git-tree-sha1 = "49326f9382400da72ee4c5120a1bf64ca3ea9406"
+deps = ["ArrayInterface", "ChainRulesCore", "ConcreteStructs", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "LazyArrays", "Libdl", "LinearAlgebra", "MKL_jll", "Markdown", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
+git-tree-sha1 = "7648cc20100504f4b453917aacc8520e9c0ecfb3"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "2.23.4"
+version = "2.30.1"
 
     [deps.LinearSolve.extensions]
     LinearSolveBandedMatricesExt = "BandedMatrices"
     LinearSolveBlockDiagonalsExt = "BlockDiagonals"
     LinearSolveCUDAExt = "CUDA"
+    LinearSolveCUDSSExt = "CUDSS"
     LinearSolveEnzymeExt = ["Enzyme", "EnzymeCore"]
     LinearSolveFastAlmostBandedMatricesExt = ["FastAlmostBandedMatrices"]
     LinearSolveHYPREExt = "HYPRE"
@@ -763,6 +889,7 @@ version = "2.23.4"
     BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
     BlockDiagonals = "0a1fb500-61f7-11e9-3c65-f5ef3456f9f0"
     CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
     Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
     EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
     FastAlmostBandedMatrices = "9d29842c-ecb8-4973-b1e9-a27b1157504e"
@@ -776,9 +903,9 @@ version = "2.23.4"
 
 [[deps.LogExpFunctions]]
 deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "18144f3e9cbe9b15b070288eef858f71b291ce37"
+git-tree-sha1 = "a2d09619db4e765091ee5c6ffe8872849de0feea"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.27"
+version = "0.3.28"
 
     [deps.LogExpFunctions.extensions]
     LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
@@ -801,9 +928,9 @@ version = "1.0.3"
 
 [[deps.LoopVectorization]]
 deps = ["ArrayInterface", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
-git-tree-sha1 = "0f5648fbae0d015e3abe5867bca2b362f67a5894"
+git-tree-sha1 = "8f6786d8b2b3248d79db3ad359ce95382d5a6df8"
 uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
-version = "0.12.166"
+version = "0.12.170"
 weakdeps = ["ChainRulesCore", "ForwardDiff", "SpecialFunctions"]
 
     [deps.LoopVectorization.extensions]
@@ -817,10 +944,10 @@ uuid = "d00139f3-1899-568f-a2f0-47f597d42d70"
 version = "5.1.2+0"
 
 [[deps.MKL_jll]]
-deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl"]
-git-tree-sha1 = "72dc3cf284559eb8f53aa593fe62cb33f83ed0c0"
+deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "oneTBB_jll"]
+git-tree-sha1 = "80b2833b56d466b3858d565adcd16a4a05f2089b"
 uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
-version = "2024.0.0+0"
+version = "2024.1.0+0"
 
 [[deps.MLStyle]]
 git-tree-sha1 = "bc38dff0548128765760c79eb7388a4b37fae2c8"
@@ -850,9 +977,9 @@ uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
 [[deps.MathOptInterface]]
 deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
-git-tree-sha1 = "569a003f93d7c64068d3afaab908d21f67a22cd5"
+git-tree-sha1 = "fffbbdbc10ba66885b7b4c06f4bd2c0efc5813d6"
 uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
-version = "1.25.3"
+version = "1.30.0"
 
 [[deps.MathOptSymbolicAD]]
 deps = ["MathOptInterface", "SparseArrays", "Symbolics"]
@@ -860,17 +987,11 @@ git-tree-sha1 = "0603e6457b9ba40c4577995c7400006933b32572"
 uuid = "309f4015-3481-4d63-a8f9-aeb13adfe8eb"
 version = "0.1.3"
 
-[[deps.MatrixFactorizations]]
-deps = ["ArrayLayouts", "LinearAlgebra", "Printf", "Random"]
-git-tree-sha1 = "78f6e33434939b0ac9ba1df81e6d005ee85a7396"
-uuid = "a3b82374-2e81-5b9e-98ce-41277c0e4c87"
-version = "2.1.0"
-
 [[deps.MaybeInplace]]
 deps = ["ArrayInterface", "LinearAlgebra", "MacroTools", "SparseArrays"]
-git-tree-sha1 = "a85c6a98c9e5a2a7046bc1bb89f28a3241e1de4d"
+git-tree-sha1 = "1b9e613f2ca3b6cdcbfe36381e17ca2b66d4b3a1"
 uuid = "bb5d69b7-63fc-4a16-80bd-7e42200c7bdb"
-version = "0.1.1"
+version = "0.1.3"
 
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -891,18 +1012,18 @@ version = "0.1.14"
 
 [[deps.Missings]]
 deps = ["DataAPI"]
-git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272"
+git-tree-sha1 = "ec4f7fbeab05d7747bdf98eb74d130a2a2ed298d"
 uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
-version = "1.1.0"
+version = "1.2.0"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.ModelingToolkit]]
-deps = ["AbstractTrees", "ArrayInterface", "Combinatorics", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "ForwardDiff", "FunctionWrappersWrappers", "Graphs", "IfElse", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "LabelledArrays", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "MacroTools", "NaNMath", "OrdinaryDiffEq", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
-git-tree-sha1 = "11f35f9619c625c18454a94a9013e7d047501fbf"
+deps = ["AbstractTrees", "ArrayInterface", "Combinatorics", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "DynamicQuantities", "ExprTools", "FindFirstFunctions", "ForwardDiff", "FunctionWrappersWrappers", "Graphs", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "LabelledArrays", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "NaNMath", "NonlinearSolve", "OrderedCollections", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "SciMLStructures", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
+git-tree-sha1 = "8d43517ec8d9895f7d5f661167c05f54146a769d"
 uuid = "961ee093-0014-501f-94e3-6117800e7a78"
-version = "8.75.0"
+version = "9.19.0"
 
     [deps.ModelingToolkit.extensions]
     MTKBifurcationKitExt = "BifurcationKit"
@@ -923,15 +1044,15 @@ version = "0.2.4"
 
 [[deps.MultivariatePolynomials]]
 deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
-git-tree-sha1 = "769c9175942d91ed9b83fa929eee4fe6a1d128ad"
+git-tree-sha1 = "5c1d1d9361e1417e5a065e1f84dc3686cbdaea21"
 uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
-version = "0.5.4"
+version = "0.5.6"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
-git-tree-sha1 = "302fd161eb1c439e4115b51ae456da4e9984f130"
+git-tree-sha1 = "898c56fbf8bf71afb0c02146ef26f3a454e88873"
 uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
-version = "1.4.1"
+version = "1.4.5"
 
 [[deps.NLSolversBase]]
 deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
@@ -956,10 +1077,10 @@ uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
 [[deps.NonlinearSolve]]
-deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "LazyArrays", "LineSearches", "LinearAlgebra", "LinearSolve", "MaybeInplace", "PrecompileTools", "Preferences", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "TimerOutputs"]
-git-tree-sha1 = "3300298b4fcacdf1351f3d8188a046d604876d41"
+deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "LazyArrays", "LineSearches", "LinearAlgebra", "LinearSolve", "MaybeInplace", "PrecompileTools", "Preferences", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
+git-tree-sha1 = "40325dcea1cb84a108efe05966bbb1f4b98e5eea"
 uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
-version = "3.6.0"
+version = "3.13.0"
 
     [deps.NonlinearSolve.extensions]
     NonlinearSolveBandedMatricesExt = "BandedMatrices"
@@ -988,9 +1109,9 @@ version = "3.6.0"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.OffsetArrays]]
-git-tree-sha1 = "6a731f2b5c03157418a20c12195eb4b74c8f8621"
+git-tree-sha1 = "e64b4f5ea6b7389f6f046d13d4896a8f9c1ba71e"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-version = "1.13.0"
+version = "1.14.0"
 weakdeps = ["Adapt"]
 
     [deps.OffsetArrays.extensions]
@@ -1019,12 +1140,18 @@ uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"
 
 [[deps.Optimization]]
-deps = ["ADTypes", "ArrayInterface", "ConsoleProgressMonitor", "DocStringExtensions", "LinearAlgebra", "Logging", "LoggingExtras", "Pkg", "Printf", "ProgressLogging", "Reexport", "SciMLBase", "SparseArrays", "TerminalLoggers"]
-git-tree-sha1 = "145baedf71770d84bf590d307b4686a9ea619c4b"
+deps = ["ADTypes", "ArrayInterface", "ConsoleProgressMonitor", "DocStringExtensions", "LBFGSB", "LinearAlgebra", "Logging", "LoggingExtras", "OptimizationBase", "Pkg", "Printf", "ProgressLogging", "Reexport", "SciMLBase", "SparseArrays", "TerminalLoggers"]
+git-tree-sha1 = "63df78e4727b194b1c28fdcc119bdc40b26f9016"
 uuid = "7f7a1694-90dd-40f0-9382-eb1efda571ba"
-version = "3.22.0"
+version = "3.26.1"
+
+[[deps.OptimizationBase]]
+deps = ["ADTypes", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "Reexport", "Requires", "SciMLBase", "SparseArrays"]
+git-tree-sha1 = "dcb1f85b0da580e2363c0197b0366406031a69cd"
+uuid = "bca83a33-5cc9-4baa-983d-23429ab6bcbb"
+version = "1.2.0"
 
-    [deps.Optimization.extensions]
+    [deps.OptimizationBase.extensions]
     OptimizationEnzymeExt = "Enzyme"
     OptimizationFiniteDiffExt = "FiniteDiff"
     OptimizationForwardDiffExt = "ForwardDiff"
@@ -1034,7 +1161,7 @@ version = "3.22.0"
     OptimizationTrackerExt = "Tracker"
     OptimizationZygoteExt = "Zygote"
 
-    [deps.Optimization.weakdeps]
+    [deps.OptimizationBase.weakdeps]
     Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
     FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41"
     ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
@@ -1046,22 +1173,16 @@ version = "3.22.0"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.OptimizationMOI]]
-deps = ["MathOptInterface", "ModelingToolkit", "Optimization", "Reexport", "SparseArrays", "SymbolicIndexingInterface", "Symbolics"]
-git-tree-sha1 = "75c381f438afd5c474f460442af6738d6d597b76"
+deps = ["MathOptInterface", "ModelingToolkit", "Optimization", "Reexport", "SciMLStructures", "SparseArrays", "SymbolicIndexingInterface", "Symbolics"]
+git-tree-sha1 = "065ed47c8bb8012e8fefc0d723f4b8e1511ad768"
 uuid = "fd9f6733-72f4-499f-8506-86b2bdd0dea1"
-version = "0.4.0"
+version = "0.4.2"
 
 [[deps.OrderedCollections]]
 git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
 version = "1.6.3"
 
-[[deps.OrdinaryDiffEq]]
-deps = ["ADTypes", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FillArrays", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "IfElse", "InteractiveUtils", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "MacroTools", "MuladdMacro", "NonlinearSolve", "Polyester", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SimpleNonlinearSolve", "SimpleUnPack", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces"]
-git-tree-sha1 = "ed171bfea6156d6458007b19790a22f4754bd501"
-uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
-version = "6.71.0"
-
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
 git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
@@ -1105,9 +1226,9 @@ version = "0.4.4"
 
 [[deps.Polyester]]
 deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"]
-git-tree-sha1 = "fca25670784a1ae44546bcb17288218310af2778"
+git-tree-sha1 = "b3e2bae88cf07baf0a051fe09666b8ef97aefe93"
 uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
-version = "0.7.9"
+version = "0.7.14"
 
 [[deps.PolyesterWeave]]
 deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
@@ -1117,15 +1238,15 @@ version = "0.2.1"
 
 [[deps.PowerModels]]
 deps = ["InfrastructureModels", "JSON", "JuMP", "LinearAlgebra", "Memento", "NLsolve", "SparseArrays"]
-git-tree-sha1 = "82dc2524b633fdc459052f4ce28d67d62ffbb0db"
+git-tree-sha1 = "5e306b264479bbb553fe4a873813b8e160071ddf"
 uuid = "c36e90e8-916a-50a6-bd94-075b64ef4655"
-version = "0.21.0"
+version = "0.21.1"
 
 [[deps.PreallocationTools]]
 deps = ["Adapt", "ArrayInterface", "ForwardDiff"]
-git-tree-sha1 = "b6665214f2d0739f2d09a17474dd443b9139784a"
+git-tree-sha1 = "406c29a7f46706d379a3bce45671b4e3a39ddfbc"
 uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
-version = "0.4.20"
+version = "0.4.22"
 weakdeps = ["ReverseDiff"]
 
     [deps.PreallocationTools.extensions]
@@ -1133,15 +1254,15 @@ weakdeps = ["ReverseDiff"]
 
 [[deps.PrecompileTools]]
 deps = ["Preferences"]
-git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f"
+git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f"
 uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
-version = "1.2.0"
+version = "1.2.1"
 
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "00805cd429dcb4870060ff49ef443486c262e38e"
+git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.4.1"
+version = "1.4.3"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -1159,15 +1280,20 @@ version = "0.1.4"
 
 [[deps.ProgressMeter]]
 deps = ["Distributed", "Printf"]
-git-tree-sha1 = "00099623ffee15972c16111bcf84c58a0051257c"
+git-tree-sha1 = "763a8ceb07833dd51bb9e3bbca372de32c0605ad"
 uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
-version = "1.9.0"
+version = "1.10.0"
+
+[[deps.PtrArrays]]
+git-tree-sha1 = "f011fbb92c4d401059b2212c05c0601b70f8b759"
+uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d"
+version = "1.2.0"
 
 [[deps.PythonCall]]
 deps = ["CondaPkg", "Dates", "Libdl", "MacroTools", "Markdown", "Pkg", "REPL", "Requires", "Serialization", "Tables", "UnsafePointers"]
-git-tree-sha1 = "4999b3e4e9bdeba0b61ede19cc45a2128db21cdc"
+git-tree-sha1 = "8de9e6cbabc9bcad4f325bd9f2f1e83361e5037d"
 uuid = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
-version = "0.9.15"
+version = "0.9.20"
 
 [[deps.QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
@@ -1197,9 +1323,9 @@ version = "1.3.4"
 
 [[deps.RecursiveArrayTools]]
 deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "SparseArrays", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "09c906ce9fa905d40e0706cdb62422422091c22f"
+git-tree-sha1 = "3400ce27995422fb88ffcd3af9945565aad947f0"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "3.8.1"
+version = "3.23.1"
 
     [deps.RecursiveArrayTools.extensions]
     RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
@@ -1221,9 +1347,9 @@ version = "3.8.1"
 
 [[deps.RecursiveFactorization]]
 deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "PrecompileTools", "StrideArraysCore", "TriangularSolve"]
-git-tree-sha1 = "8bc86c78c7d8e2a5fe559e3721c0f9c9e303b2ed"
+git-tree-sha1 = "6db1a75507051bc18bfa131fbc7c3f169cc4b2f6"
 uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
-version = "0.2.21"
+version = "0.2.23"
 
 [[deps.Reexport]]
 git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
@@ -1238,9 +1364,9 @@ version = "1.3.0"
 
 [[deps.ReverseDiff]]
 deps = ["ChainRulesCore", "DiffResults", "DiffRules", "ForwardDiff", "FunctionWrappers", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NaNMath", "Random", "SpecialFunctions", "StaticArrays", "Statistics"]
-git-tree-sha1 = "d1235bdd57a93bd7504225b792b867e9a7df38d5"
+git-tree-sha1 = "cc6cd622481ea366bb9067859446a8b01d92b468"
 uuid = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
-version = "1.15.1"
+version = "1.15.3"
 
 [[deps.Rmath]]
 deps = ["Random", "Rmath_jll"]
@@ -1249,16 +1375,16 @@ uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
 version = "0.7.1"
 
 [[deps.Rmath_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "d483cd324ce5cf5d61b77930f0bbd6cb61927d21"
 uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
-version = "0.4.0+0"
+version = "0.4.2+0"
 
 [[deps.RuntimeGeneratedFunctions]]
 deps = ["ExprTools", "SHA", "Serialization"]
-git-tree-sha1 = "6aacc5eefe8415f47b3e34214c1d79d2674a0ba2"
+git-tree-sha1 = "04c968137612c4a5629fa531334bb81ad5680f00"
 uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
-version = "0.5.12"
+version = "0.5.13"
 
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -1282,10 +1408,10 @@ uuid = "319450e9-13b8-58e8-aa9f-8fd1420848ab"
 version = "2024.1.18+0"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FillArrays", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
-git-tree-sha1 = "33e40003f4ef424e8a8700e0a3a189c6ece2af27"
+deps = ["ADTypes", "Accessors", "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 = "7a6c5c8c38d2e37f45d4686c3598c20c1aebf48e"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.26.1"
+version = "2.41.3"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -1307,10 +1433,16 @@ version = "2.26.1"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SciMLOperators]]
-deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"]
-git-tree-sha1 = "51ae235ff058a64815e0a2c34b1db7578a06813d"
+deps = ["ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools", "Setfield", "SparseArrays", "StaticArraysCore"]
+git-tree-sha1 = "10499f619ef6e890f3f4a38914481cc868689cd5"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "0.3.7"
+version = "0.3.8"
+
+[[deps.SciMLStructures]]
+deps = ["ArrayInterface"]
+git-tree-sha1 = "6ab4beaf88dcdd2639bead916f2347f81dcacd0e"
+uuid = "53ae85a6-f571-4167-b2af-e1d143709226"
+version = "1.3.0"
 
 [[deps.Scratch]]
 deps = ["Dates"]
@@ -1332,20 +1464,22 @@ deps = ["Distributed", "Mmap", "Random", "Serialization"]
 uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
 
 [[deps.SimpleNonlinearSolve]]
-deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "MaybeInplace", "PrecompileTools", "Reexport", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "873a1bf90744acfa615e45cd5dddfd0ee89a094f"
+deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "DiffResults", "DifferentiationInterface", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "MaybeInplace", "PrecompileTools", "Reexport", "SciMLBase", "Setfield", "StaticArraysCore"]
+git-tree-sha1 = "913754ccbbc78720a4542b56a6bdfbab1c84c8f2"
 uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-version = "1.5.0"
+version = "1.10.0"
 
     [deps.SimpleNonlinearSolve.extensions]
     SimpleNonlinearSolveChainRulesCoreExt = "ChainRulesCore"
-    SimpleNonlinearSolvePolyesterForwardDiffExt = "PolyesterForwardDiff"
-    SimpleNonlinearSolveStaticArraysExt = "StaticArrays"
+    SimpleNonlinearSolveReverseDiffExt = "ReverseDiff"
+    SimpleNonlinearSolveTrackerExt = "Tracker"
+    SimpleNonlinearSolveZygoteExt = "Zygote"
 
     [deps.SimpleNonlinearSolve.weakdeps]
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-    PolyesterForwardDiff = "98d1487c-24ca-40b6-b7ab-df2af84e126b"
-    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
@@ -1353,11 +1487,6 @@ 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"
 
@@ -1374,9 +1503,9 @@ version = "1.10.0"
 
 [[deps.SparseDiffTools]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "PackageExtensionCompat", "Random", "Reexport", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "Tricks", "UnPack", "VertexSafeGraphs"]
-git-tree-sha1 = "a616ac46c38da60ac05cecf52064d44732edd05e"
+git-tree-sha1 = "469f51f8c4741ce944be2c0b65423b518b1405b0"
 uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
-version = "2.17.0"
+version = "2.19.0"
 
     [deps.SparseDiffTools.extensions]
     SparseDiffToolsEnzymeExt = "Enzyme"
@@ -1392,6 +1521,12 @@ version = "2.17.0"
     Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
+[[deps.SparseMatrixColorings]]
+deps = ["ADTypes", "Compat", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
+git-tree-sha1 = "eed2446b3c3dd58f6ded3168998b8b2cb3fc9229"
+uuid = "0a514795-09f3-496d-8182-132a7b665d35"
+version = "0.3.3"
+
 [[deps.Sparspak]]
 deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
 git-tree-sha1 = "342cf4b449c299d8d1ceaf00b7a49f4fbc7940e7"
@@ -1400,9 +1535,9 @@ version = "0.3.9"
 
 [[deps.SpecialFunctions]]
 deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
-git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d"
+git-tree-sha1 = "2f5d4697f21388cbe1ff299430dd169ef97d7e14"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
-version = "2.3.1"
+version = "2.4.0"
 weakdeps = ["ChainRulesCore"]
 
     [deps.SpecialFunctions.extensions]
@@ -1427,9 +1562,9 @@ weakdeps = ["OffsetArrays", "StaticArrays"]
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
-git-tree-sha1 = "7b0e9c14c624e435076d19aea1e5cbdec2b9ca37"
+git-tree-sha1 = "6e00379a24597be4ae1ee6b2d882e15392040132"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.9.2"
+version = "1.9.5"
 weakdeps = ["ChainRulesCore", "Statistics"]
 
     [deps.StaticArrays.extensions]
@@ -1437,9 +1572,9 @@ weakdeps = ["ChainRulesCore", "Statistics"]
     StaticArraysStatisticsExt = "Statistics"
 
 [[deps.StaticArraysCore]]
-git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d"
+git-tree-sha1 = "192954ef1208c7019899fbf8049e717f92959682"
 uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
-version = "1.4.2"
+version = "1.4.3"
 
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
@@ -1454,29 +1589,26 @@ version = "1.7.0"
 
 [[deps.StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "1d77abd07f617c4868c33d4f5b9e1dbb2643c9cf"
+git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.34.2"
+version = "0.34.3"
 
 [[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.StatsFuns.weakdeps]
-    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
-
 [[deps.StrideArraysCore]]
-deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
-git-tree-sha1 = "d6415f66f3d89c615929af907fdc6a3e17af0d8c"
+deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
+git-tree-sha1 = "25349bf8f63aa36acbff5e3550a86e9f5b0ef682"
 uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
-version = "0.5.2"
+version = "0.5.6"
 
 [[deps.StructTypes]]
 deps = ["Dates", "UUIDs"]
@@ -1494,29 +1626,38 @@ uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
 version = "7.2.1+1"
 
 [[deps.SymbolicIndexingInterface]]
-git-tree-sha1 = "dc7186d456f9ff2bef0cb754a59758920f0b2382"
+deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
+git-tree-sha1 = "a5f6f138b740c9d93d76f0feddd3092e6ef002b7"
 uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
-version = "0.3.6"
+version = "0.3.22"
+
+[[deps.SymbolicLimits]]
+deps = ["SymbolicUtils"]
+git-tree-sha1 = "fb099adbd7504f1e68b4512828e9d94197a8b889"
+uuid = "19f23fe9-fdab-4a78-91af-e7b7767979c3"
+version = "0.2.1"
 
 [[deps.SymbolicUtils]]
-deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TimerOutputs", "Unityper"]
-git-tree-sha1 = "849b1dfb1680a9e9f2c6023f79a49b694fb6d0da"
+deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"]
+git-tree-sha1 = "79813de27af70906d223fbd89ad90dba3d88a2b0"
 uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
-version = "1.5.0"
+version = "2.0.2"
 
 [[deps.Symbolics]]
-deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "ForwardDiff", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils"]
-git-tree-sha1 = "168d291b59ee4ef2158081a2b650647018600ffa"
+deps = ["ADTypes", "ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "ForwardDiff", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
+git-tree-sha1 = "3669f8eba2720c595e16b038f33cb880c12ef7f7"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "5.19.1"
+version = "5.30.3"
 
     [deps.Symbolics.extensions]
     SymbolicsGroebnerExt = "Groebner"
+    SymbolicsLuxCoreExt = "LuxCore"
     SymbolicsPreallocationToolsExt = "PreallocationTools"
     SymbolicsSymPyExt = "SymPy"
 
     [deps.Symbolics.weakdeps]
     Groebner = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
+    LuxCore = "bb33d45b-7691-41d6-9220-0943567d0623"
     PreallocationTools = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
     SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"
 
@@ -1542,6 +1683,11 @@ deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
 version = "1.10.0"
 
+[[deps.TermInterface]]
+git-tree-sha1 = "6f0cee95e74d1f6891ba6b35b8b219fd3d11b567"
+uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
+version = "0.4.1"
+
 [[deps.TerminalLoggers]]
 deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
 git-tree-sha1 = "f133fab380933d042f6796eda4e130272ba520ca"
@@ -1560,19 +1706,19 @@ version = "0.5.2"
 
 [[deps.TimerOutputs]]
 deps = ["ExprTools", "Printf"]
-git-tree-sha1 = "f548a9e9c490030e545f72074a41edfd0e5bcdd7"
+git-tree-sha1 = "5a13ae8a41237cff5ecf34f73eb1b8f42fff6531"
 uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
-version = "0.5.23"
+version = "0.5.24"
 
 [[deps.Tokenize]]
-git-tree-sha1 = "5b5a892ba7704c0977013bd0f9c30f5d962181e0"
+git-tree-sha1 = "468b4685af4abe0e9fd4d7bf495a6554a6276e75"
 uuid = "0796e94c-ce3b-5d07-9a54-7f471281c624"
-version = "0.5.28"
+version = "0.5.29"
 
 [[deps.TranscodingStreams]]
-git-tree-sha1 = "54194d92959d8ebaa8e26227dbe3cdefcdcd594f"
+git-tree-sha1 = "a947ea21087caba0a798c5e494d0bb78e3a1a3a0"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.10.3"
+version = "0.10.9"
 weakdeps = ["Random", "Test"]
 
     [deps.TranscodingStreams.extensions]
@@ -1580,9 +1726,9 @@ weakdeps = ["Random", "Test"]
 
 [[deps.TriangularSolve]]
 deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
-git-tree-sha1 = "fadebab77bf3ae041f77346dd1c290173da5a443"
+git-tree-sha1 = "66c68a20907800c0b7c04ff8a6164115e8747de2"
 uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
-version = "0.1.20"
+version = "0.2.0"
 
 [[deps.Tricks]]
 git-tree-sha1 = "eae1bb484cd63b36999ee58be2de6c178105112f"
@@ -1614,18 +1760,15 @@ uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
 
 [[deps.Unitful]]
 deps = ["Dates", "LinearAlgebra", "Random"]
-git-tree-sha1 = "3c793be6df9dd77a0cf49d80984ef9ff996948fa"
+git-tree-sha1 = "dd260903fdabea27d9b6021689b3cd5401a57748"
 uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
-version = "1.19.0"
+version = "1.20.0"
+weakdeps = ["ConstructionBase", "InverseFunctions"]
 
     [deps.Unitful.extensions]
     ConstructionBaseUnitfulExt = "ConstructionBase"
     InverseFunctionsUnitfulExt = "InverseFunctions"
 
-    [deps.Unitful.weakdeps]
-    ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
-
 [[deps.Unityper]]
 deps = ["ConstructionBase"]
 git-tree-sha1 = "25008b734a03736c41e2a7dc314ecb95bd6bbdb0"
@@ -1639,9 +1782,9 @@ version = "1.0.0"
 
 [[deps.VectorizationBase]]
 deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"]
-git-tree-sha1 = "7209df901e6ed7489fe9b7aa3e46fb788e15db85"
+git-tree-sha1 = "e863582a41c5731f51fd050563ae91eb33cf09be"
 uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
-version = "0.21.65"
+version = "0.21.68"
 
 [[deps.VertexSafeGraphs]]
 deps = ["Graphs"]
@@ -1661,15 +1804,21 @@ version = "5.8.0+1"
 
 [[deps.micromamba_jll]]
 deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl"]
-git-tree-sha1 = "66d07957bcf7e4930d933195aed484078dd8cbb5"
+git-tree-sha1 = "b4a5a3943078f9fd11ae0b5ab1bdbf7718617945"
 uuid = "f8abcde7-e9b7-5caa-b8af-a437887ae8e4"
-version = "1.4.9+0"
+version = "1.5.8+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"