diff --git a/Manifest.toml b/Manifest.toml
index 524ad72..9a44136 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -1,10 +1,12 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.7.3"
+julia_version = "1.8.0-rc3"
 manifest_format = "2.0"
+project_hash = "af668ce292bd766579fbcfeae7d9729d80ba7ba5"
 
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
+version = "1.1.1"
 
 [[deps.ArtifactUtils]]
 deps = ["Downloads", "Git", "HTTP", "Pkg", "ProgressLogging", "SHA", "TOML", "gh_cli_jll"]
@@ -18,9 +20,67 @@
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
+[[deps.BinaryProvider]]
+deps = ["Libdl", "Logging", "SHA"]
+git-tree-sha1 = "ecdec412a9abc8db54c0efc5548c64dfce072058"
+uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
+version = "0.5.10"
+
+[[deps.ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "80ca332f6dcb2508adba68f22f551adb2d00a624"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "1.15.3"
+
+[[deps.ChangesOfVariables]]
+deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
+git-tree-sha1 = "38f7a08f19d8810338d4f5085211c7dfa5d5bdd8"
+uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+version = "0.1.4"
+
+[[deps.CodeTracking]]
+deps = ["InteractiveUtils", "UUIDs"]
+git-tree-sha1 = "6d4fa04343a7fc9f9cb9cff9558929f3d2752717"
+uuid = "da1fd8a2-8d9e-5ec2-8556-3022fb5608a2"
+version = "1.0.9"
+
+[[deps.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 = "9be8be1d8a6f44b96482c8af52238ea7987da3e3"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "3.45.0"
+
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+version = "0.5.2+0"
+
+[[deps.Crayons]]
+git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15"
+uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
+version = "4.1.1"
+
+[[deps.DataAPI]]
+git-tree-sha1 = "fb5f5316dd3fd4c5e7c30a24d50643b73e37cd40"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.10.0"
+
+[[deps.DataFrames]]
+deps = ["Compat", "DataAPI", "Future", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Reexport", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
+git-tree-sha1 = "daa21eb85147f72e41f6352a57fccea377e310a9"
+uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+version = "1.3.4"
+
+[[deps.DataStructures]]
+deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.18.13"
+
+[[deps.DataValueInterfaces]]
+git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
+uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
+version = "1.0.0"
 
 [[deps.Dates]]
 deps = ["Printf"]
@@ -36,9 +96,20 @@
 uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
 version = "0.10.7"
 
+[[deps.Distributed]]
+deps = ["Random", "Serialization", "Sockets"]
+uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
+
+[[deps.DocStringExtensions]]
+deps = ["LibGit2"]
+git-tree-sha1 = "5158c2b41018c5f7eb1470d558127ac274eca0c9"
+uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
+version = "0.9.1"
+
 [[deps.Downloads]]
 deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
 uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
+version = "1.6.0"
 
 [[deps.Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -49,6 +120,16 @@
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
+[[deps.Formatting]]
+deps = ["Printf"]
+git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
+uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
+version = "0.4.2"
+
+[[deps.Future]]
+deps = ["Random"]
+uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
+
 [[deps.Gettext_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
 git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
@@ -82,19 +163,48 @@
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[deps.InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "b3364212fb5d870f724876ffcd34dd8ec6d98918"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.7"
+
+[[deps.InvertedIndices]]
+git-tree-sha1 = "bee5f1ef5bf65df56bdd2e40447590b272a5471f"
+uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
+version = "1.1.0"
+
+[[deps.IrrationalConstants]]
+git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
+uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
+version = "0.1.1"
+
+[[deps.IteratorInterfaceExtensions]]
+git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
+uuid = "82899510-4779-5014-852e-03e436cf321d"
+version = "1.0.0"
+
 [[deps.JLLWrappers]]
 deps = ["Preferences"]
 git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
 uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
 version = "1.4.1"
 
+[[deps.JuliaInterpreter]]
+deps = ["CodeTracking", "InteractiveUtils", "Random", "UUIDs"]
+git-tree-sha1 = "1101d9e5a062963612e8d2bd5bd653d73ae033f4"
+uuid = "aa1ae85d-cabe-5617-a682-6adf51b2e16a"
+version = "0.9.14"
+
 [[deps.LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]
 uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
+version = "0.6.3"
 
 [[deps.LibCURL_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
 uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
+version = "7.83.1+1"
 
 [[deps.LibGit2]]
 deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
@@ -103,6 +213,7 @@
 [[deps.LibSSH2_jll]]
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
 uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
+version = "1.10.2+0"
 
 [[deps.Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
@@ -117,9 +228,21 @@
 deps = ["Libdl", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
+[[deps.LogExpFunctions]]
+deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "7c88f63f9f0eb5929f15695af9a4d7d3ed278a91"
+uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+version = "0.3.16"
+
 [[deps.Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
+[[deps.LoweredCodeUtils]]
+deps = ["JuliaInterpreter"]
+git-tree-sha1 = "dedbebe234e06e1ddad435f5c6f4b85cd8ce55f7"
+uuid = "6f1432cf-f94c-5a45-995e-cdbf5db27b0b"
+version = "2.2.2"
+
 [[deps.Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
@@ -133,19 +256,29 @@
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
+version = "2.28.0+0"
+
+[[deps.Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.0.2"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
+version = "2022.2.1"
 
 [[deps.NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
+version = "1.2.0"
 
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
+version = "0.3.20+0"
 
 [[deps.OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -153,13 +286,32 @@
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
 version = "1.1.17+0"
 
+[[deps.OrderedCollections]]
+git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.4.1"
+
+[[deps.PCRE2]]
+deps = ["BinaryProvider", "Libdl"]
+git-tree-sha1 = "fc4205405f792d5e3a0eac7a49ae40e55ec6e04b"
+uuid = "c9310f65-a42c-5928-aca3-d34f64192029"
+version = "1.0.2"
+
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
+version = "10.40.0+0"
 
 [[deps.Pkg]]
 deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
+version = "1.8.0"
+
+[[deps.PooledArrays]]
+deps = ["DataAPI", "Future"]
+git-tree-sha1 = "a6062fe4063cdafe78f4a0a81cfffb89721b30e7"
+uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720"
+version = "1.4.2"
 
 [[deps.Preferences]]
 deps = ["TOML"]
@@ -167,6 +319,12 @@
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
 version = "1.3.0"
 
+[[deps.PrettyTables]]
+deps = ["Crayons", "Formatting", "Markdown", "Reexport", "Tables"]
+git-tree-sha1 = "dfb54c4e414caa595a1f2ed759b160f5a3ddcba5"
+uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
+version = "1.3.1"
+
 [[deps.Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
@@ -185,15 +343,43 @@
 deps = ["SHA", "Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
+[[deps.Reexport]]
+git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.2.2"
+
+[[deps.Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.3.0"
+
+[[deps.Revise]]
+deps = ["CodeTracking", "Distributed", "FileWatching", "JuliaInterpreter", "LibGit2", "LoweredCodeUtils", "OrderedCollections", "Pkg", "REPL", "Requires", "UUIDs", "Unicode"]
+git-tree-sha1 = "c73149ff75d4efb19b6d77411d293ae8fb55c58e"
+uuid = "295af30f-e4ad-537b-8983-00126c2a3abe"
+version = "3.3.4"
+
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
+version = "0.7.0"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
+[[deps.SharedArrays]]
+deps = ["Distributed", "Mmap", "Random", "Serialization"]
+uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
+
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
+[[deps.SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.0.1"
+
 [[deps.SparseArrays]]
 deps = ["LinearAlgebra", "Random"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
@@ -208,13 +394,37 @@
 uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
 version = "1.4.0"
 
+[[deps.StatsBase]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "0005d75f43ff23688914536c5e9d5ac94f8077f7"
+uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+version = "0.33.20"
+
 [[deps.TOML]]
 deps = ["Dates"]
 uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
+version = "1.0.0"
+
+[[deps.TableTraits]]
+deps = ["IteratorInterfaceExtensions"]
+git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
+uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
+version = "1.0.1"
+
+[[deps.Tables]]
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
+git-tree-sha1 = "5ce79ce186cc678bbb5c5681ca3379d1ddae11a1"
+uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
+version = "1.7.0"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
+version = "1.10.0"
+
+[[deps.Test]]
+deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
+uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.URIs]]
 git-tree-sha1 = "e59ecc5a41b000fa94423a578d29290c7266fc10"
@@ -237,6 +447,7 @@
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
+version = "1.2.12+3"
 
 [[deps.gh_cli_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -247,11 +458,14 @@
 [[deps.libblastrampoline_jll]]
 deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
+version = "5.1.1+0"
 
 [[deps.nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
+version = "1.47.0+0"
 
 [[deps.p7zip_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
+version = "17.4.0+0"