diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 7db26ab2..eacf919c 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -60,15 +60,6 @@ jobs:
         with:
           file: other/docker/misra/Dockerfile
 
-  cimplefmt:
-    runs-on: ubuntu-latest
-    steps:
-      - uses: actions/checkout@v2
-        with:
-          submodules: recursive
-      - name: Run cimplefmt
-        run: other/docker/cimplefmt/run -u $(find tox* -name "*.[ch]")
-
   build-nacl:
     runs-on: ubuntu-latest
     steps:
@@ -79,6 +70,35 @@ jobs:
         with:
           file: other/docker/autotools/Dockerfile
 
+  build-tcc:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v1
+      - name: Docker Build
+        uses: docker/build-push-action@v2
+        with:
+          file: other/docker/tcc/Dockerfile
+
+  build-compcert:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v1
+      - name: Docker Build
+        uses: docker/build-push-action@v2
+        with:
+          file: other/docker/compcert/Dockerfile
+
+  cimplefmt:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v2
+        with:
+          submodules: recursive
+      - name: Run cimplefmt
+        run: other/docker/cimplefmt/run -u $(find tox* -name "*.[ch]")
+
   build-win32:
     runs-on: ubuntu-latest
     steps:
@@ -125,45 +145,6 @@ jobs:
       - name: Build, test, and upload coverage
         run: .github/scripts/coverage-linux
 
-  build-tcc:
-    runs-on: ubuntu-latest
-    steps:
-      - name: Set up Docker Buildx
-        uses: docker/setup-buildx-action@v1
-      - name: Docker Build
-        uses: docker/build-push-action@v2
-        with:
-          file: other/docker/tcc/Dockerfile
-
-  build-compcert:
-    runs-on: ubuntu-latest
-    container: toxchat/compcert
-    steps:
-      - uses: actions/checkout@v2
-        with:
-          submodules: recursive
-      - name: Build with CompCert
-        run:
-          ccomp
-            -o send_message_test
-            -Wall -Werror
-            -Wno-c11-extensions
-            -Wno-unknown-pragmas
-            -Wno-unused-variable
-            -fstruct-passing -fno-unprototyped -g
-            auto_tests/auto_test_support.c
-            auto_tests/send_message_test.c
-            testing/misc_tools.c
-            toxav/*.c
-            toxcore/*.c
-            toxcore/*/*.c
-            toxencryptsave/*.c
-            third_party/cmp/*.c
-            -D__COMPCERT__ -DDISABLE_VLA -Dinline=
-            -lpthread $(pkg-config --cflags --libs libsodium opus vpx)
-      - name: Run the test
-        run: "./send_message_test | grep 'tox clients connected'"
-
   build-android:
     runs-on: ubuntu-latest
     steps:
diff --git a/other/docker/compcert/Dockerfile b/other/docker/compcert/Dockerfile
new file mode 100644
index 00000000..bcc61387
--- /dev/null
+++ b/other/docker/compcert/Dockerfile
@@ -0,0 +1,30 @@
+FROM toxchat/compcert:latest
+
+WORKDIR /work
+COPY auto_tests/ /work/auto_tests/
+COPY testing/ /work/testing/
+COPY toxav/ /work/toxav/
+COPY toxcore/ /work/toxcore/
+COPY toxencryptsave/ /work/toxencryptsave/
+COPY third_party/ /work/third_party/
+
+SHELL ["/bin/bash", "-o", "pipefail", "-c"]
+
+RUN ccomp \
+ -o send_message_test \
+ -Wall -Werror \
+ -Wno-c11-extensions \
+ -Wno-unknown-pragmas \
+ -Wno-unused-variable \
+ -fstruct-passing -fno-unprototyped -g \
+ auto_tests/auto_test_support.c \
+ auto_tests/send_message_test.c \
+ testing/misc_tools.c \
+ toxav/*.c \
+ toxcore/*.c \
+ toxcore/*/*.c \
+ toxencryptsave/*.c \
+ third_party/cmp/*.c \
+ -D__COMPCERT__ -DDISABLE_VLA -Dinline= \
+ -lpthread $(pkg-config --cflags --libs libsodium opus vpx) \
+ && ./send_message_test | grep 'tox clients connected'
diff --git a/other/docker/compcert/run b/other/docker/compcert/run
new file mode 100755
index 00000000..a0613428
--- /dev/null
+++ b/other/docker/compcert/run
@@ -0,0 +1,5 @@
+#!/bin/sh
+
+set -eux
+
+docker build -t toxchat/c-toxcore:compcert -f other/docker/compcert/Dockerfile .