diff --git a/Manifest.toml b/Manifest.toml
index 3e5b508..f082537 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -13,9 +13,9 @@ version = "1.0.1"
 
 [[Adapt]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
+git-tree-sha1 = "9faf218ea18c51fcccaf956c8d39614c9d30fe8b"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.3.1"
+version = "3.3.2"
 
 [[ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
@@ -32,10 +32,10 @@ uuid = "375f315e-f2c4-11e9-2ef9-134f02f79e27"
 version = "0.1.0"
 
 [[BFloat16s]]
-deps = ["LinearAlgebra", "Test"]
-git-tree-sha1 = "4af69e205efc343068dc8722b8dfec1ade89254a"
+deps = ["LinearAlgebra", "Printf", "Random", "Test"]
+git-tree-sha1 = "a598ecb0d717092b5539dbbe890c98bac842b072"
 uuid = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
-version = "0.1.0"
+version = "0.2.0"
 
 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
@@ -46,33 +46,33 @@ uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
 version = "0.4.1"
 
 [[CUDA]]
-deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "CompilerSupportLibraries_jll", "DataStructures", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "LazyArtifacts", "Libdl", "LinearAlgebra", "Logging", "Printf", "Random", "Random123", "RandomNumbers", "Reexport", "Requires", "SparseArrays", "SpecialFunctions", "TimerOutputs"]
-git-tree-sha1 = "8ef71bf6d6602cf227196b43650924bf9ef7babc"
+deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "CompilerSupportLibraries_jll", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "LazyArtifacts", "Libdl", "LinearAlgebra", "Logging", "Printf", "Random", "Random123", "RandomNumbers", "Reexport", "Requires", "SparseArrays", "SpecialFunctions", "TimerOutputs"]
+git-tree-sha1 = "429a1a05348ce948a96adbdd873fbe6d9e5e052f"
 uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
-version = "3.3.3"
+version = "3.6.2"
 
 [[ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "dcc25ff085cf548bc8befad5ce048391a7c07d40"
+git-tree-sha1 = "926870acb6cbcf029396f2f2de030282b6bc1941"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "0.10.11"
+version = "1.11.4"
+
+[[ChangesOfVariables]]
+deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
+git-tree-sha1 = "bf98fa45a0a4cee295de98d4c1462be26345b9a1"
+uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+version = "0.1.2"
 
 [[Compat]]
 deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
-git-tree-sha1 = "dc7dedc2c2aa9faf59a55c622760a25cbefbe941"
+git-tree-sha1 = "44c37b4636bc54afac5c574d2d02b625349d6582"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "3.31.0"
+version = "3.41.0"
 
 [[CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
 
-[[DataStructures]]
-deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "4437b64df1e0adccc3e5d1adbc3ac741095e4677"
-uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.9"
-
 [[Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
@@ -87,9 +87,9 @@ uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[DocStringExtensions]]
 deps = ["LibGit2"]
-git-tree-sha1 = "a32185f5428d3986f47c2ab78b1f216d5e6cc96f"
+git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
 uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
-version = "0.8.5"
+version = "0.8.6"
 
 [[Documenter]]
 deps = ["ANSIColoredPrinters", "Base64", "Dates", "DocStringExtensions", "IOCapture", "InteractiveUtils", "JSON", "LibGit2", "Logging", "Markdown", "REPL", "Test", "Unicode"]
@@ -111,16 +111,16 @@ deps = ["Artifacts", "Libdl"]
 uuid = "781609d7-10c4-51f6-84f2-b8444358ff6d"
 
 [[GPUArrays]]
-deps = ["AbstractFFTs", "Adapt", "LinearAlgebra", "Printf", "Random", "Serialization", "Statistics"]
-git-tree-sha1 = "ececbf05f8904c92814bdbd0aafd5540b0bf2e9a"
+deps = ["Adapt", "LinearAlgebra", "Printf", "Random", "Serialization", "Statistics"]
+git-tree-sha1 = "d9681e61fbce7dde48684b40bdb1a319c4083be7"
 uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
-version = "7.0.1"
+version = "8.1.3"
 
 [[GPUCompiler]]
-deps = ["DataStructures", "ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "TimerOutputs", "UUIDs"]
-git-tree-sha1 = "e8a09182a4440489e2e3dedff5ad3f6bbe555396"
+deps = ["ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "TimerOutputs", "UUIDs"]
+git-tree-sha1 = "2cac236070c2c4b36de54ae9146b55ee2c34ac7a"
 uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
-version = "0.12.5"
+version = "0.13.10"
 
 [[IOCapture]]
 deps = ["Logging", "Random"]
@@ -132,6 +132,17 @@ version = "0.2.2"
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "a7254c0acd8e62f1ac75ad24d5db43f5f19f3c65"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.2"
+
+[[IrrationalConstants]]
+git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
+uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
+version = "0.1.1"
+
 [[JLLWrappers]]
 deps = ["Preferences"]
 git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
@@ -146,15 +157,15 @@ version = "0.21.2"
 
 [[LLVM]]
 deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Printf", "Unicode"]
-git-tree-sha1 = "1b7ba36ea7aa6fa2278118951bad114fbb8359f2"
+git-tree-sha1 = "7cc22e69995e2329cc047a879395b2b74647ab5f"
 uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
-version = "4.1.0"
+version = "4.7.0"
 
 [[LLVMExtra_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "b36c0677a0549c7d1dc8719899a4133abbfacf7d"
+git-tree-sha1 = "c5fc4bef251ecd37685bea1c4068a9cfa41e8b9a"
 uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
-version = "0.0.6+0"
+version = "0.0.13+0"
 
 [[LazyArtifacts]]
 deps = ["Artifacts", "Pkg"]
@@ -184,10 +195,10 @@ deps = ["Libdl"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[LogExpFunctions]]
-deps = ["DocStringExtensions", "LinearAlgebra"]
-git-tree-sha1 = "7bd5f6565d80b6bf753738d2bc40a5dfea072070"
+deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "e5718a00af0ab9756305a0392832c8952c7426c1"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.2.5"
+version = "0.3.6"
 
 [[Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
@@ -221,17 +232,16 @@ version = "3.7.2+0"
 [[NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 
+[[OpenLibm_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
+
 [[OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
 uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"
 
-[[OrderedCollections]]
-git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
-uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.4.1"
-
 [[Parsers]]
 deps = ["Dates"]
 git-tree-sha1 = "d7fa6237da8004be601e19bd6666083056649918"
@@ -244,9 +254,9 @@ uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 
 [[Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
+git-tree-sha1 = "2cf929d64681236a2e074ffafb8d568733d2e6af"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.2.2"
+version = "1.2.3"
 
 [[Printf]]
 deps = ["Unicode"]
@@ -268,20 +278,20 @@ version = "1.4.2"
 
 [[RandomNumbers]]
 deps = ["Random", "Requires"]
-git-tree-sha1 = "441e6fc35597524ada7f85e13df1f4e10137d16f"
+git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
 uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
-version = "1.4.0"
+version = "1.5.3"
 
 [[Reexport]]
-git-tree-sha1 = "5f6c21241f0f655da3952fd60aa18477cf96c220"
+git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
 uuid = "189a3867-3050-52da-a836-e630ba90ab69"
-version = "1.1.0"
+version = "1.2.2"
 
 [[Requires]]
 deps = ["UUIDs"]
-git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
+git-tree-sha1 = "8f82019e525f4d5c669692772a6f4b0a58b06a6a"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
-version = "1.1.3"
+version = "1.2.0"
 
 [[SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -301,10 +311,10 @@ deps = ["LinearAlgebra", "Random"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[SpecialFunctions]]
-deps = ["ChainRulesCore", "LogExpFunctions", "OpenSpecFun_jll"]
-git-tree-sha1 = "a50550fa3164a8c46747e62063b4d774ac1bcf49"
+deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
+git-tree-sha1 = "e08890d19787ec25029113e88c34ec20cac1c91e"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
-version = "1.5.1"
+version = "2.0.0"
 
 [[Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]