--- a/benchmark/Manifest.toml	Sun May 21 20:57:25 2023 +0200
+++ b/benchmark/Manifest.toml	Wed May 31 08:50:28 2023 +0200
@@ -1,6 +1,6 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.8.5"
+julia_version = "1.9.0"
 manifest_format = "2.0"
 project_hash = "25bba7b4a00465d5a2b00b589eb10e3301c31f2a"
 
@@ -10,26 +10,40 @@
 version = "0.4.4"
 
 [[deps.Adapt]]
-deps = ["LinearAlgebra"]
-git-tree-sha1 = "0310e08cb19f5da31d08341c6120c047598f5b9c"
+deps = ["LinearAlgebra", "Requires"]
+git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.5.0"
+version = "3.6.2"
+weakdeps = ["StaticArrays"]
+
+    [deps.Adapt.extensions]
+    AdaptStaticArraysExt = "StaticArrays"
 
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
 version = "1.1.1"
 
 [[deps.ArrayInterface]]
-deps = ["ArrayInterfaceCore", "Compat", "IfElse", "LinearAlgebra", "Static"]
-git-tree-sha1 = "6d0918cb9c0d3db7fe56bea2bc8638fc4014ac35"
+deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "d3f758863a47ceef2248d136657cb9c033603641"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "6.0.24"
+version = "7.4.8"
 
-[[deps.ArrayInterfaceCore]]
-deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "14c3f84a763848906ac681f94cf469a851601d92"
-uuid = "30b0a656-2188-435a-8636-2ec0e6a096e2"
-version = "0.1.28"
+    [deps.ArrayInterface.extensions]
+    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
+    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
+    ArrayInterfaceCUDAExt = "CUDA"
+    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
+    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
+    ArrayInterfaceTrackerExt = "Tracker"
+
+    [deps.ArrayInterface.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
@@ -44,20 +58,24 @@
 version = "1.3.2"
 
 [[deps.Compat]]
-deps = ["Dates", "LinearAlgebra", "UUIDs"]
-git-tree-sha1 = "00a2cccc7f098ff3b66806862d275ca3db9e6e5a"
+deps = ["UUIDs"]
+git-tree-sha1 = "7a60c856b9fa189eb34f5f8a6f6b5529b7942957"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "4.5.0"
+version = "4.6.1"
+weakdeps = ["Dates", "LinearAlgebra"]
+
+    [deps.Compat.extensions]
+    CompatLinearAlgebraExt = "LinearAlgebra"
 
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
-version = "1.0.1+0"
+version = "1.0.2+0"
 
 [[deps.DataAPI]]
-git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630"
+git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
-version = "1.14.0"
+version = "1.15.0"
 
 [[deps.DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -92,9 +110,9 @@
 
 [[deps.JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
-git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e"
+git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
-version = "0.21.3"
+version = "0.21.4"
 
 [[deps.LeftChildRightSiblingTrees]]
 deps = ["AbstractTrees"]
@@ -125,7 +143,7 @@
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
 
 [[deps.LinearAlgebra]]
-deps = ["Libdl", "libblastrampoline_jll"]
+deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.Logging]]
@@ -138,20 +156,20 @@
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.0+0"
+version = "2.28.2+0"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2022.2.1"
+version = "2022.10.11"
 
 [[deps.Mustache]]
 deps = ["Printf", "Tables"]
-git-tree-sha1 = "1e566ae913a57d0062ff1af54d2697b9344b99cd"
+git-tree-sha1 = "87c371d27dbf2449a5685652ab322be163269df0"
 uuid = "ffc61752-8dc7-55ee-8c37-f3e9cdd09e70"
-version = "1.0.14"
+version = "1.0.15"
 
 [[deps.NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
@@ -159,30 +177,30 @@
 
 [[deps.OffsetArrays]]
 deps = ["Adapt"]
-git-tree-sha1 = "f71d8950b724e9ff6110fc948dff5a329f901d64"
+git-tree-sha1 = "82d7c9e310fe55aa54996e6f7f94674e2a38fcb4"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-version = "1.12.8"
+version = "1.12.9"
 
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.20+0"
+version = "0.3.21+4"
 
 [[deps.OrderedCollections]]
-git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
+git-tree-sha1 = "d321bf2de576bf25ec4d3e4360faca399afca282"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.4.1"
+version = "1.6.0"
 
 [[deps.Parsers]]
-deps = ["Dates", "SnoopPrecompile"]
-git-tree-sha1 = "8175fc2b118a3755113c8e68084dc1a9e63c61ee"
+deps = ["Dates", "PrecompileTools", "UUIDs"]
+git-tree-sha1 = "a5aef8d4a6e8d81f171b2bd4be5265b01384c74c"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.5.3"
+version = "2.5.10"
 
 [[deps.Pkg]]
-deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
-version = "1.8.0"
+version = "1.9.0"
 
 [[deps.PkgBenchmark]]
 deps = ["BenchmarkTools", "Dates", "InteractiveUtils", "JSON", "LibGit2", "Logging", "Pkg", "Printf", "TerminalLoggers", "UUIDs"]
@@ -190,11 +208,17 @@
 uuid = "32113eaa-f34f-5b0d-bd6c-c81e245fc73d"
 version = "0.2.12"
 
+[[deps.PrecompileTools]]
+deps = ["Preferences"]
+git-tree-sha1 = "259e206946c293698122f63e2b513a7c99a244e8"
+uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
+version = "1.1.1"
+
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
+git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.3.0"
+version = "1.4.0"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -218,6 +242,12 @@
 deps = ["SHA", "Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
+[[deps.Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.3.0"
+
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 version = "0.7.0"
@@ -241,20 +271,31 @@
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
 [[deps.SparseArrays]]
-deps = ["LinearAlgebra", "Random"]
+deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[deps.Static]]
 deps = ["IfElse"]
-git-tree-sha1 = "c35b107b61e7f34fa3f124026f2a9be97dea9e1c"
+git-tree-sha1 = "dbde6766fc677423598138a5951269432b0fcc90"
 uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
-version = "0.8.3"
+version = "0.8.7"
+
+[[deps.StaticArrayInterface]]
+deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "Static", "SuiteSparse"]
+git-tree-sha1 = "33040351d2403b84afce74dae2e22d3f5b18edcb"
+uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718"
+version = "1.4.0"
+weakdeps = ["OffsetArrays", "StaticArrays"]
+
+    [deps.StaticArrayInterface.extensions]
+    StaticArrayInterfaceOffsetArraysExt = "OffsetArrays"
+    StaticArrayInterfaceStaticArraysExt = "StaticArrays"
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
-git-tree-sha1 = "c262c8e978048c2b095be1672c9bee55b4619521"
+git-tree-sha1 = "8982b3607a212b070a5e46eea83eb62b4744ae12"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.5.24"
+version = "1.5.25"
 
 [[deps.StaticArraysCore]]
 git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
@@ -264,15 +305,21 @@
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+version = "1.9.0"
 
 [[deps.SuiteSparse]]
 deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
 uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
 
+[[deps.SuiteSparse_jll]]
+deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
+uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
+version = "5.10.1+6"
+
 [[deps.TOML]]
 deps = ["Dates"]
 uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
-version = "1.0.0"
+version = "1.0.3"
 
 [[deps.TableTraits]]
 deps = ["IteratorInterfaceExtensions"]
@@ -282,30 +329,30 @@
 
 [[deps.Tables]]
 deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
-git-tree-sha1 = "c79322d36826aa2f4fd8ecfa96ddb47b174ac78d"
+git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.10.0"
+version = "1.10.1"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
-version = "1.10.1"
+version = "1.10.0"
 
 [[deps.TerminalLoggers]]
 deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
-git-tree-sha1 = "f53e34e784ae771eb9ccde4d72e578aa453d0554"
+git-tree-sha1 = "f133fab380933d042f6796eda4e130272ba520ca"
 uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
-version = "0.1.6"
+version = "0.1.7"
 
 [[deps.Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.TiledIteration]]
-deps = ["ArrayInterface", "OffsetArrays"]
-git-tree-sha1 = "1bf2bb587a7fc99fefac2ff076b18b500128e9c0"
+deps = ["OffsetArrays", "StaticArrayInterface"]
+git-tree-sha1 = "1176cc31e867217b06928e2f140c90bd1bc88283"
 uuid = "06e1c1a7-607b-532d-9fad-de7d9aa2abac"
-version = "0.4.2"
+version = "0.5.0"
 
 [[deps.UUIDs]]
 deps = ["Random", "SHA"]
@@ -317,12 +364,12 @@
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
-version = "1.2.12+3"
+version = "1.2.13+0"
 
 [[deps.libblastrampoline_jll]]
-deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
+deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
-version = "5.1.1+0"
+version = "5.7.0+0"
 
 [[deps.nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]