diff --git a/Project.toml b/Project.toml
index 83fe47b..157dc6a 100644
--- a/Project.toml
+++ b/Project.toml
@@ -15,6 +15,7 @@ SparseDiffTools = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
 Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [compat]
+DiffResults = "1.0"
 julia = "1"
 
 [extras]
diff --git a/docs/Manifest.toml b/docs/Manifest.toml
index 79e4e62..f6d3869 100644
--- a/docs/Manifest.toml
+++ b/docs/Manifest.toml
@@ -1,12 +1,130 @@
 # This file is machine-generated - editing it directly is not advised
 
+[[ASL_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "fc1716d806dd345db9fd82e93f2186771fe6df13"
+uuid = "ae81ac8f-d209-56e5-92de-9978fef736f9"
+version = "0.1.1+4"
+
+[[AbstractFFTs]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
+uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
+version = "1.0.1"
+
+[[Adapt]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "ffcfa2d345aaee0ef3d8346a073d5dd03c983ebe"
+uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+version = "3.2.0"
+
+[[ArnoldiMethod]]
+deps = ["LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "f87e559f87a45bece9c9ed97458d3afe98b1ebb9"
+uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
+version = "0.1.0"
+
+[[ArrayInterface]]
+deps = ["IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
+git-tree-sha1 = "da557609446152beb6ee134683d7b79ece129eae"
+uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
+version = "3.1.5"
+
+[[Artifacts]]
+deps = ["Pkg"]
+git-tree-sha1 = "c30985d8821e0cd73870b17b0ed0ce6dc44cb744"
+uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
+version = "1.3.0"
+
 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
+[[BenchmarkTools]]
+deps = ["JSON", "Logging", "Printf", "Statistics", "UUIDs"]
+git-tree-sha1 = "9e62e66db34540a0c919d72172cc2f642ac71260"
+uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+version = "0.5.0"
+
+[[BinaryProvider]]
+deps = ["Libdl", "Logging", "SHA"]
+git-tree-sha1 = "ecdec412a9abc8db54c0efc5548c64dfce072058"
+uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
+version = "0.5.10"
+
+[[Bzip2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "c3598e525718abcc440f69cc6d5f60dda0a1b61e"
+uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
+version = "1.0.6+5"
+
+[[ChainRules]]
+deps = ["ChainRulesCore", "Compat", "LinearAlgebra", "Random", "Reexport", "Requires", "Statistics"]
+git-tree-sha1 = "e01f521443e3700f40ad3c7c1c6aa3a6940aaea1"
+uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+version = "0.7.54"
+
+[[ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "de4f08843c332d355852721adb1592bce7924da3"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "0.9.29"
+
+[[CodecBzip2]]
+deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
+git-tree-sha1 = "2e62a725210ce3c3c2e1a3080190e7ca491f18d7"
+uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
+version = "0.7.2"
+
+[[CodecZlib]]
+deps = ["TranscodingStreams", "Zlib_jll"]
+git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
+uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
+version = "0.7.0"
+
+[[CommonSubexpressions]]
+deps = ["MacroTools", "Test"]
+git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
+uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
+version = "0.3.0"
+
+[[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 = "919c7f3151e79ff196add81d7f4e45d91bbf420b"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "3.25.0"
+
+[[CompilerSupportLibraries_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "8e695f735fca77e9708e795eda62afdb869cbb70"
+uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+version = "0.3.4+0"
+
+[[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"
 
+[[DelimitedFiles]]
+deps = ["Mmap"]
+uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
+
+[[DiffResults]]
+deps = ["StaticArrays"]
+git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
+uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
+version = "1.0.3"
+
+[[DiffRules]]
+deps = ["NaNMath", "Random", "SpecialFunctions"]
+git-tree-sha1 = "214c3fcac57755cfda163d91c58893a8723f93e9"
+uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
+version = "1.0.2"
+
 [[Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
@@ -19,9 +137,38 @@ version = "0.8.3"
 
 [[Documenter]]
 deps = ["Base64", "Dates", "DocStringExtensions", "IOCapture", "InteractiveUtils", "JSON", "LibGit2", "Logging", "Markdown", "REPL", "Test", "Unicode"]
-git-tree-sha1 = "21fb992ef1b28ff8f315354d3808ebf4a8fa6e45"
+git-tree-sha1 = "3ebb967819b284dc1e3c0422229b58a40a255649"
 uuid = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
-version = "0.26.2"
+version = "0.26.3"
+
+[[FillArrays]]
+deps = ["LinearAlgebra", "Random", "SparseArrays"]
+git-tree-sha1 = "dd4ab4257c257532003eb9836eea07473fcc732e"
+uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
+version = "0.11.6"
+
+[[FiniteDiff]]
+deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
+git-tree-sha1 = "f6f80c8f934efd49a286bb5315360be66956dfc4"
+uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
+version = "2.8.0"
+
+[[ForwardDiff]]
+deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "NaNMath", "Random", "SpecialFunctions", "StaticArrays"]
+git-tree-sha1 = "c68fb7481b71519d313114dca639b35262ff105f"
+uuid = "f6369f11-7733-5829-9624-2563aa707210"
+version = "0.10.17"
+
+[[FunctionWrappers]]
+git-tree-sha1 = "241552bc2209f0fa068b6415b1942cc0aa486bcc"
+uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
+version = "1.1.2"
+
+[[HTTP]]
+deps = ["Base64", "Dates", "IniFile", "MbedTLS", "NetworkOptions", "Sockets", "URIs"]
+git-tree-sha1 = "c9f380c76d8aaa1fa7ea9cf97bddbc0d5b15adc2"
+uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
+version = "0.9.5"
 
 [[IOCapture]]
 deps = ["Logging"]
@@ -29,16 +176,61 @@ git-tree-sha1 = "377252859f740c217b936cebcd918a44f9b53b59"
 uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
 version = "0.1.1"
 
+[[IRTools]]
+deps = ["InteractiveUtils", "MacroTools", "Test"]
+git-tree-sha1 = "c67e7515a11f726f44083e74f218d134396d6510"
+uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
+version = "0.4.2"
+
+[[IfElse]]
+git-tree-sha1 = "28e837ff3e7a6c3cdb252ce49fb412c8eb3caeef"
+uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
+version = "0.1.0"
+
+[[Inflate]]
+git-tree-sha1 = "f5fc07d4e706b84f72d54eedcc1c13d92fb0871c"
+uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
+version = "0.1.2"
+
+[[IniFile]]
+deps = ["Test"]
+git-tree-sha1 = "098e4d2c533924c921f9f9847274f2ad89e018b8"
+uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
+version = "0.5.0"
+
 [[InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[Ipopt]]
+deps = ["BinaryProvider", "Ipopt_jll", "Libdl", "LinearAlgebra", "MathOptInterface", "MathProgBase"]
+git-tree-sha1 = "7c526d73eeacf6495e694e8309f3c89d4b5f8912"
+uuid = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
+version = "0.6.5"
+
+[[Ipopt_jll]]
+deps = ["ASL_jll", "Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "MUMPS_seq_jll", "OpenBLAS32_jll", "Pkg"]
+git-tree-sha1 = "610e03d6ff38a70c2a5eca351d83638309f4afb5"
+uuid = "9cc047cb-c261-5740-88fc-0cf96f7bdcc7"
+version = "3.13.4+0"
+
+[[JLLWrappers]]
+git-tree-sha1 = "a431f5f2ca3f4feef3bd7a5e94b8b8d4f2f647a0"
+uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
+version = "1.2.0"
+
 [[JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
 git-tree-sha1 = "81690084b6198a2e1da36fcfda16eeca9f9f24e4"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 version = "0.21.1"
 
+[[JSONSchema]]
+deps = ["HTTP", "JSON", "ZipFile"]
+git-tree-sha1 = "b84ab8139afde82c7c65ba2b792fe12e01dd7307"
+uuid = "7d188eb4-7ad8-530c-ae41-71a32a6d4692"
+version = "0.3.3"
+
 [[LibGit2]]
 deps = ["Printf"]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
@@ -46,21 +238,106 @@ uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
 [[Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
 
+[[LightGraphs]]
+deps = ["ArnoldiMethod", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
+git-tree-sha1 = "432428df5f360964040ed60418dd5601ecd240b6"
+uuid = "093fc24a-ae57-5d10-9952-331d41423f4d"
+version = "1.3.5"
+
+[[LinearAlgebra]]
+deps = ["Libdl"]
+uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+
 [[Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
+[[METIS_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "2dc1a9fc87e57e32b1fc186db78811157b30c118"
+uuid = "d00139f3-1899-568f-a2f0-47f597d42d70"
+version = "5.1.0+5"
+
+[[MUMPS_seq_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "METIS_jll", "OpenBLAS32_jll", "Pkg"]
+git-tree-sha1 = "1a11a84b2af5feb5a62a820574804056cdc59c39"
+uuid = "d7ed1dd3-d0ae-5e8e-bfb4-87a502085b8d"
+version = "5.2.1+4"
+
+[[MacroTools]]
+deps = ["Markdown", "Random"]
+git-tree-sha1 = "6a8a2a625ab0dea913aba95c11370589e0239ff0"
+uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
+version = "0.5.6"
+
 [[Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
+[[MathOptInterface]]
+deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "JSON", "JSONSchema", "LinearAlgebra", "MutableArithmetics", "OrderedCollections", "SparseArrays", "Test", "Unicode"]
+git-tree-sha1 = "606efe4246da5407d7505265a1ead72467528996"
+uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+version = "0.9.20"
+
+[[MathProgBase]]
+deps = ["LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "9abbe463a1e9fc507f12a69e7f29346c2cdc472c"
+uuid = "fdba3010-5040-5b88-9595-932c9decdf73"
+version = "0.7.8"
+
+[[MbedTLS]]
+deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
+git-tree-sha1 = "1c38e51c3d08ef2278062ebceade0e46cefc96fe"
+uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
+version = "1.0.3"
+
+[[MbedTLS_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "0eef589dd1c26a3ac9d753fe1a8bcad63f956fa6"
+uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
+version = "2.16.8+1"
+
 [[Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
+[[MutableArithmetics]]
+deps = ["LinearAlgebra", "SparseArrays", "Test"]
+git-tree-sha1 = "6b6bb8f550dc38310afd4a0af0786dc3222459e2"
+uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+version = "0.2.14"
+
+[[NaNMath]]
+git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
+uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
+version = "0.3.5"
+
+[[NetworkOptions]]
+git-tree-sha1 = "ed3157f48a05543cce9b241e1f2815f7e843d96e"
+uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
+version = "1.2.0"
+
+[[OpenBLAS32_jll]]
+deps = ["CompilerSupportLibraries_jll", "Libdl", "Pkg"]
+git-tree-sha1 = "793b33911239d2651c356c823492b58d6490d36a"
+uuid = "656ef2d0-ae68-5445-9ca0-591084a874a2"
+version = "0.3.9+4"
+
+[[OpenSpecFun_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "9db77584158d0ab52307f8c04f8e7c08ca76b5b3"
+uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
+version = "0.5.3+4"
+
+[[OrderedCollections]]
+git-tree-sha1 = "4fa2ba51070ec13fcc7517db714445b4ab986bdf"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.4.0"
+
 [[Parsers]]
 deps = ["Dates"]
-git-tree-sha1 = "50c9a9ed8c714945e01cd53a21007ed3865ed714"
+git-tree-sha1 = "223a825cccef2228f3fdbf2ecc7ca93363059073"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "1.0.15"
+version = "1.0.16"
 
 [[Pkg]]
 deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "UUIDs"]
@@ -78,27 +355,128 @@ uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
 deps = ["Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
+[[Reexport]]
+git-tree-sha1 = "57d8440b0c7d98fc4f889e478e80f268d534c9d5"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.0.0"
+
+[[Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.1.3"
+
+[[ReverseDiff]]
+deps = ["DiffResults", "DiffRules", "ForwardDiff", "FunctionWrappers", "LinearAlgebra", "MacroTools", "NaNMath", "Random", "SpecialFunctions", "StaticArrays", "Statistics"]
+git-tree-sha1 = "a4a45bcdc393c560fc13839dc1d19f3063fcb3b9"
+uuid = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+version = "1.7.0"
+
 [[SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 
 [[SNOW]]
+deps = ["DiffResults", "FiniteDiff", "ForwardDiff", "Ipopt", "Requires", "ReverseDiff", "SparseArrays", "SparseDiffTools", "Zygote"]
 path = ".."
 uuid = "105f6ee8-0889-46b1-9d4b-65e03cbc8f13"
-version = "0.1.0"
+version = "0.2.0"
 
 [[Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
+[[SharedArrays]]
+deps = ["Distributed", "Mmap", "Random", "Serialization"]
+uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
+
+[[SimpleTraits]]
+deps = ["InteractiveUtils", "MacroTools"]
+git-tree-sha1 = "daf7aec3fe3acb2131388f93a4c409b8c7f62226"
+uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
+version = "0.9.3"
+
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
+[[SparseArrays]]
+deps = ["LinearAlgebra", "Random"]
+uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+
+[[SparseDiffTools]]
+deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "LightGraphs", "LinearAlgebra", "Requires", "SparseArrays", "VertexSafeGraphs"]
+git-tree-sha1 = "d05bc362e3fa1b0e2361594a706fc63ffbd140f3"
+uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
+version = "1.13.0"
+
+[[SpecialFunctions]]
+deps = ["ChainRulesCore", "OpenSpecFun_jll"]
+git-tree-sha1 = "5919936c0e92cff40e57d0ddf0ceb667d42e5902"
+uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
+version = "1.3.0"
+
+[[Static]]
+deps = ["IfElse"]
+git-tree-sha1 = "ddec5466a1d2d7e58adf9a427ba69763661aacf6"
+uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
+version = "0.2.4"
+
+[[StaticArrays]]
+deps = ["LinearAlgebra", "Random", "Statistics"]
+git-tree-sha1 = "9da72ed50e94dbff92036da395275ed114e04d49"
+uuid = "90137ffa-7385-5640-81b9-e52037218182"
+version = "1.0.1"
+
+[[Statistics]]
+deps = ["LinearAlgebra", "SparseArrays"]
+uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+
 [[Test]]
 deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
+[[TranscodingStreams]]
+deps = ["Random", "Test"]
+git-tree-sha1 = "7c53c35547de1c5b9d46a4797cf6d8253807108c"
+uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
+version = "0.9.5"
+
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 [[UUIDs]]
 deps = ["Random", "SHA"]
 uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
 
 [[Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
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