diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 21e3a2e8..eb219c4e 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -14,7 +14,7 @@ jobs:
     runs-on: ${{ matrix.os }}
     strategy:
       matrix:
-        julia-version: ['1.0', '1.1', '1.2', '1.3', '1.4', '1.5', '1.6', '~1.7.0-0', 'nightly']
+        julia-version: ['1.4', '1.5', '1.6', '1.7', 'nightly']
         julia-arch: [x64, x86]
         os: [ubuntu-latest, windows-latest, macOS-latest]
         exclude:
diff --git a/Project.toml b/Project.toml
index 17cb947a..691322b4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -3,7 +3,6 @@ uuid = "ca8b7239-ccd3-5cce-807f-2072f3f0d108"
 version = "0.10.0-DEV"
 
 [deps]
-Compat = "34da2185-b29b-5c13-b0c7-acf172513d20"
 IterTools = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Markdown = "d6f4376e-aef5-505a-96c1-9c027394607a"
@@ -14,12 +13,11 @@ StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
 [compat]
-Compat = "3.7"
 IterTools = "1"
 OrderedCollections = "1"
 ProgressMeter = "0.6, 0.7, 0.8, 0.9, 1"
 StaticArrays = "0.8, 0.9, 0.10, 0.11, 0.12, 1.0"
-julia = "1"
+julia = "1.4"
 
 [extras]
 FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
diff --git a/README.md b/README.md
index 2944a163..1fef484c 100644
--- a/README.md
+++ b/README.md
@@ -23,7 +23,7 @@ Schematics"](http://www.eurasip.org/Proceedings/Eusipco/Eusipco2015/papers/15701
 ## Installation
 
 If you have not done so already, [download and install
-Julia](http://julialang.org/downloads/). (Any version starting with 1.0 should
+Julia](http://julialang.org/downloads/). (Any version starting with 1.4 should
 be fine; earlier ACME versions support Julia starting with version 0.3.)
 
 To install ACME, start Julia and run:
diff --git a/docs/Manifest.toml b/docs/Manifest.toml
index db02dde5..280a2636 100644
--- a/docs/Manifest.toml
+++ b/docs/Manifest.toml
@@ -1,7 +1,7 @@
 # This file is machine-generated - editing it directly is not advised
 
 [[ACME]]
-deps = ["Compat", "IterTools", "LinearAlgebra", "Markdown", "OrderedCollections", "ProgressMeter", "SparseArrays", "StaticArrays", "Statistics"]
+deps = ["IterTools", "LinearAlgebra", "Markdown", "OrderedCollections", "ProgressMeter", "SparseArrays", "StaticArrays", "Statistics"]
 path = ".."
 uuid = "ca8b7239-ccd3-5cce-807f-2072f3f0d108"
 
@@ -10,29 +10,13 @@ git-tree-sha1 = "574baf8110975760d391c710b6341da1afa48d8c"
 uuid = "a4c015fc-c6ff-483c-b24f-f7ea428134e9"
 version = "0.0.1"
 
-[[ArgTools]]
-uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
-
-[[Artifacts]]
-uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
-
 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
-[[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 = "dce3e3fea680869eaa0b774b2e8343e9ff442313"
-uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "3.40.0"
-
 [[Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
-[[DelimitedFiles]]
-deps = ["Mmap"]
-uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
-
 [[Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
@@ -49,10 +33,6 @@ git-tree-sha1 = "f425293f7e0acaf9144de6d731772de156676233"
 uuid = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
 version = "0.27.10"
 
-[[Downloads]]
-deps = ["ArgTools", "LibCURL", "NetworkOptions"]
-uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
-
 [[IOCapture]]
 deps = ["Logging", "Random"]
 git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
@@ -74,22 +54,10 @@ git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 version = "0.21.2"
 
-[[LibCURL]]
-deps = ["LibCURL_jll", "MozillaCACerts_jll"]
-uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
-
-[[LibCURL_jll]]
-deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
-uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
-
 [[LibGit2]]
 deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
 
-[[LibSSH2_jll]]
-deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
-uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
-
 [[Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
 
@@ -104,16 +72,9 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
-[[MbedTLS_jll]]
-deps = ["Artifacts", "Libdl"]
-uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-
 [[Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
-[[MozillaCACerts_jll]]
-uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-
 [[NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 
@@ -128,10 +89,6 @@ git-tree-sha1 = "ae4bbcadb2906ccc085cf52ac286dc1377dceccc"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
 version = "2.1.2"
 
-[[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"
-
 [[Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
@@ -156,10 +113,6 @@ uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 [[Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
-[[SharedArrays]]
-deps = ["Distributed", "Mmap", "Random", "Serialization"]
-uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
-
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
@@ -177,33 +130,9 @@ version = "1.2.13"
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
-[[TOML]]
-deps = ["Dates"]
-uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
-
-[[Tar]]
-deps = ["ArgTools", "SHA"]
-uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
-
 [[Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
-[[UUIDs]]
-deps = ["Random", "SHA"]
-uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
-
 [[Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
-
-[[Zlib_jll]]
-deps = ["Libdl"]
-uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
-
-[[nghttp2_jll]]
-deps = ["Artifacts", "Libdl"]
-uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
-
-[[p7zip_jll]]
-deps = ["Artifacts", "Libdl"]
-uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
diff --git a/docs/src/gettingstarted.md b/docs/src/gettingstarted.md
index 54256b64..06c6b187 100644
--- a/docs/src/gettingstarted.md
+++ b/docs/src/gettingstarted.md
@@ -3,7 +3,7 @@
 ## Installation
 
 If you have not done so already, [download and install
-Julia](http://julialang.org/downloads/). (Any version starting with 1.0 should
+Julia](http://julialang.org/downloads/). (Any version starting with 1.4 should
 be fine; earlier ACME versions also support Julia 0.3 and later.)
 
 To install ACME, start Julia and run:
diff --git a/src/ACME.jl b/src/ACME.jl
index 8d5f8f9e..85de2395 100644
--- a/src/ACME.jl
+++ b/src/ACME.jl
@@ -5,7 +5,6 @@ module ACME
 
 export DiscreteModel, run!, steadystate, steadystate!, linearize, ModelRunner
 
-using Compat: evalpoly
 using IterTools: subsets
 using LinearAlgebra: BLAS, I, axpy!, lu, rmul!
 using Markdown: @doc_str
diff --git a/test/runtests.jl b/test/runtests.jl
index 0540188c..77778a3c 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -4,7 +4,6 @@
 include("checklic.jl")
 
 using ACME
-using Compat: evalpoly, only
 using FFTW: rfft
 using ProgressMeter: Progress, next!
 using SparseArrays: sparse, spzeros