diff --git a/.cirrus.yml b/.cirrus.yml
deleted file mode 100644
index 53380e4d5f..0000000000
--- a/.cirrus.yml
+++ /dev/null
@@ -1,159 +0,0 @@
-env:
-  ### cirrus config
-  CIRRUS_CLONE_DEPTH: 1
-  ### compiler options
-  HOST:
-  WRAPPER_CMD:
-  # Specific warnings can be disabled with -Wno-error=foo.
-  # -pedantic-errors is not equivalent to -Werror=pedantic and thus not implied by -Werror according to the GCC manual.
-  WERROR_CFLAGS: -Werror -pedantic-errors
-  MAKEFLAGS: -j4
-  BUILD: check
-  ### secp256k1 config
-  ECMULTWINDOW: auto
-  ECMULTGENPRECISION: auto
-  ASM: no
-  WIDEMUL: auto
-  WITH_VALGRIND: yes
-  EXTRAFLAGS:
-  ### secp256k1 modules
-  EXPERIMENTAL: no
-  ECDH: no
-  RECOVERY: no
-  SCHNORRSIG: no
-  ELLSWIFT: no
-  ### test options
-  SECP256K1_TEST_ITERS:
-  BENCH: yes
-  SECP256K1_BENCH_ITERS: 2
-  CTIMETESTS: yes
-  # Compile and run the tests
-  EXAMPLES: yes
-
-# https://cirrus-ci.org/pricing/#compute-credits
-credits_snippet: &CREDITS
-  # Don't use any credits for now.
-  use_compute_credits: false
-
-cat_logs_snippet: &CAT_LOGS
-  always:
-    cat_tests_log_script:
-      - cat tests.log || true
-    cat_noverify_tests_log_script:
-      - cat noverify_tests.log || true
-    cat_exhaustive_tests_log_script:
-      - cat exhaustive_tests.log || true
-    cat_ctime_tests_log_script:
-      - cat ctime_tests.log || true
-    cat_bench_log_script:
-      - cat bench.log || true
-    cat_config_log_script:
-      - cat config.log || true
-    cat_test_env_script:
-      - cat test_env.log || true
-    cat_ci_env_script:
-      - env
-
-linux_container_snippet: &LINUX_CONTAINER
-  container:
-    dockerfile: ci/linux-debian.Dockerfile
-    # Reduce number of CPUs to be able to do more builds in parallel.
-    cpu: 1
-    # Gives us more CPUs for free if they're available.
-    greedy: true
-    # More than enough for our scripts.
-    memory: 2G
-
-# Sanitizers
-task:
-  << : *LINUX_CONTAINER
-  env:
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    ELLSWIFT: yes
-    CTIMETESTS: no
-  matrix:
-    - name: "Valgrind (memcheck)"
-      container:
-        cpu: 2
-      env:
-        # The `--error-exitcode` is required to make the test fail if valgrind found errors, otherwise it'll return 0 (https://www.valgrind.org/docs/manual/manual-core.html)
-        WRAPPER_CMD: "valgrind --error-exitcode=42"
-        SECP256K1_TEST_ITERS: 2
-    - name: "UBSan, ASan, LSan"
-      container:
-        memory: 2G
-      env:
-        CFLAGS: "-fsanitize=undefined,address -g"
-        UBSAN_OPTIONS: "print_stacktrace=1:halt_on_error=1"
-        ASAN_OPTIONS: "strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1"
-        LSAN_OPTIONS: "use_unaligned=1"
-        SECP256K1_TEST_ITERS: 32
-  # Try to cover many configurations with just a tiny matrix.
-  matrix:
-    - env:
-        ASM: auto
-    - env:
-        ASM: no
-        ECMULTGENPRECISION: 2
-        ECMULTWINDOW: 2
-  matrix:
-    - env:
-        CC: clang
-    - env:
-        HOST: i686-linux-gnu
-        CC: i686-linux-gnu-gcc
-  test_script:
-    - ./ci/ci.sh
-  << : *CAT_LOGS
-
-# Memory sanitizers
-task:
-  << : *LINUX_CONTAINER
-  name: "MSan"
-  env:
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    ELLSWIFT: yes
-    CTIMETESTS: yes
-    CC: clang
-    SECP256K1_TEST_ITERS: 32
-    ASM: no
-    WITH_VALGRIND: no
-  container:
-    memory: 2G
-  matrix:
-    - env:
-        CFLAGS: "-fsanitize=memory -g"
-    - env:
-        ECMULTGENPRECISION: 2
-        ECMULTWINDOW: 2
-        CFLAGS: "-fsanitize=memory -g -O3"
-  test_script:
-    - ./ci/ci.sh
-  << : *CAT_LOGS
-
-task:
-  name: "C++ -fpermissive (entire project)"
-  << : *LINUX_CONTAINER
-  env:
-    CC: g++
-    CFLAGS: -fpermissive -g
-    CPPFLAGS: -DSECP256K1_CPLUSPLUS_TEST_OVERRIDE
-    WERROR_CFLAGS:
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    ELLSWIFT: yes
-  test_script:
-    - ./ci/ci.sh
-  << : *CAT_LOGS
-
-task:
-  name: "C++ (public headers)"
-  << : *LINUX_CONTAINER
-  test_script:
-    - g++ -Werror include/*.h
-    - clang -Werror -x c++-header include/*.h
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 8da64d0ee1..e1307b99c7 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -373,6 +373,180 @@ jobs:
         run: env
         if: ${{ always() }}
 
+  valgrind_debian:
+    name: "Valgrind (memcheck)"
+    runs-on: ubuntu-latest
+    needs: docker_cache
+
+    strategy:
+      fail-fast: false
+      matrix:
+        configuration:
+          - env_vars: { CC: 'clang',                                      ASM: 'auto' }
+          - env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'auto' }
+          - env_vars: { CC: 'clang',                                      ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
+          - env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
+
+    env:
+      # The `--error-exitcode` is required to make the test fail if valgrind found errors,
+      # otherwise it will return 0 (https://www.valgrind.org/docs/manual/manual-core.html).
+      WRAPPER_CMD: 'valgrind --error-exitcode=42'
+      ECDH: 'yes'
+      RECOVERY: 'yes'
+      SCHNORRSIG: 'yes'
+      ELLSWIFT: 'yes'
+      CTIMETESTS: 'no'
+      SECP256K1_TEST_ITERS: 2
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: CI script
+        env: ${{ matrix.configuration.env_vars }}
+        uses: ./.github/actions/run-in-docker-action
+        with:
+          dockerfile: ./ci/linux-debian.Dockerfile
+          tag: linux-debian-image
+          command: >
+            git config --global --add safe.directory ${{ github.workspace }} &&
+            ./ci/ci.sh
+
+      - run: cat tests.log || true
+        if: ${{ always() }}
+      - run: cat noverify_tests.log || true
+        if: ${{ always() }}
+      - run: cat exhaustive_tests.log || true
+        if: ${{ always() }}
+      - run: cat ctime_tests.log || true
+        if: ${{ always() }}
+      - run: cat bench.log || true
+        if: ${{ always() }}
+      - run: cat config.log || true
+        if: ${{ always() }}
+      - run: cat test_env.log || true
+        if: ${{ always() }}
+      - name: CI env
+        run: env
+        if: ${{ always() }}
+
+  sanitizers_debian:
+    name: "UBSan, ASan, LSan"
+    runs-on: ubuntu-latest
+    needs: docker_cache
+
+    strategy:
+      fail-fast: false
+      matrix:
+        configuration:
+          - env_vars: { CC: 'clang',                                      ASM: 'auto' }
+          - env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'auto' }
+          - env_vars: { CC: 'clang',                                      ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
+          - env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
+
+    env:
+      ECDH: 'yes'
+      RECOVERY: 'yes'
+      SCHNORRSIG: 'yes'
+      ELLSWIFT: 'yes'
+      CTIMETESTS: 'no'
+      CFLAGS: '-fsanitize=undefined,address -g'
+      UBSAN_OPTIONS: 'print_stacktrace=1:halt_on_error=1'
+      ASAN_OPTIONS: 'strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1'
+      LSAN_OPTIONS: 'use_unaligned=1'
+      SECP256K1_TEST_ITERS: 32
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: CI script
+        env: ${{ matrix.configuration.env_vars }}
+        uses: ./.github/actions/run-in-docker-action
+        with:
+          dockerfile: ./ci/linux-debian.Dockerfile
+          tag: linux-debian-image
+          command: >
+            git config --global --add safe.directory ${{ github.workspace }} &&
+            ./ci/ci.sh
+
+      - run: cat tests.log || true
+        if: ${{ always() }}
+      - run: cat noverify_tests.log || true
+        if: ${{ always() }}
+      - run: cat exhaustive_tests.log || true
+        if: ${{ always() }}
+      - run: cat ctime_tests.log || true
+        if: ${{ always() }}
+      - run: cat bench.log || true
+        if: ${{ always() }}
+      - run: cat config.log || true
+        if: ${{ always() }}
+      - run: cat test_env.log || true
+        if: ${{ always() }}
+      - name: CI env
+        run: env
+        if: ${{ always() }}
+
+  msan_debian:
+    name: "MSan"
+    runs-on: ubuntu-latest
+    needs: docker_cache
+
+    strategy:
+      fail-fast: false
+      matrix:
+        configuration:
+          - env_vars:
+              CFLAGS: '-fsanitize=memory -g'
+          - env_vars:
+              ECMULTGENPRECISION: 2
+              ECMULTWINDOW: 2
+              CFLAGS: '-fsanitize=memory -g -O3'
+
+    env:
+      ECDH: 'yes'
+      RECOVERY: 'yes'
+      SCHNORRSIG: 'yes'
+      ELLSWIFT: 'yes'
+      CTIMETESTS: 'yes'
+      CC: 'clang'
+      SECP256K1_TEST_ITERS: 32
+      ASM: 'no'
+      WITH_VALGRIND: 'no'
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: CI script
+        env: ${{ matrix.configuration.env_vars }}
+        uses: ./.github/actions/run-in-docker-action
+        with:
+          dockerfile: ./ci/linux-debian.Dockerfile
+          tag: linux-debian-image
+          command: >
+            git config --global --add safe.directory ${{ github.workspace }} &&
+            ./ci/ci.sh
+
+      - run: cat tests.log || true
+        if: ${{ always() }}
+      - run: cat noverify_tests.log || true
+        if: ${{ always() }}
+      - run: cat exhaustive_tests.log || true
+        if: ${{ always() }}
+      - run: cat ctime_tests.log || true
+        if: ${{ always() }}
+      - run: cat bench.log || true
+        if: ${{ always() }}
+      - run: cat config.log || true
+        if: ${{ always() }}
+      - run: cat test_env.log || true
+        if: ${{ always() }}
+      - name: CI env
+        run: env
+        if: ${{ always() }}
+
   mingw_debian:
     name: ${{ matrix.configuration.job_name }}
     runs-on: ubuntu-latest
@@ -548,6 +722,70 @@ jobs:
         run: |
           cl.exe -c -WX -TP include/*.h
 
+  cxx_fpermissive_debian:
+    name: "C++ -fpermissive (entire project)"
+    runs-on: ubuntu-latest
+    needs: docker_cache
+
+    env:
+      CC: 'g++'
+      CFLAGS: '-fpermissive -g'
+      CPPFLAGS: '-DSECP256K1_CPLUSPLUS_TEST_OVERRIDE'
+      WERROR_CFLAGS:
+      ECDH: 'yes'
+      RECOVERY: 'yes'
+      SCHNORRSIG: 'yes'
+      ELLSWIFT: 'yes'
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: CI script
+        uses: ./.github/actions/run-in-docker-action
+        with:
+          dockerfile: ./ci/linux-debian.Dockerfile
+          tag: linux-debian-image
+          command: >
+            git config --global --add safe.directory ${{ github.workspace }} &&
+            ./ci/ci.sh
+
+      - run: cat tests.log || true
+        if: ${{ always() }}
+      - run: cat noverify_tests.log || true
+        if: ${{ always() }}
+      - run: cat exhaustive_tests.log || true
+        if: ${{ always() }}
+      - run: cat ctime_tests.log || true
+        if: ${{ always() }}
+      - run: cat bench.log || true
+        if: ${{ always() }}
+      - run: cat config.log || true
+        if: ${{ always() }}
+      - run: cat test_env.log || true
+        if: ${{ always() }}
+      - name: CI env
+        run: env
+        if: ${{ always() }}
+
+  cxx_headers_debian:
+    name: "C++ (public headers)"
+    runs-on: ubuntu-latest
+    needs: docker_cache
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: CI script
+        uses: ./.github/actions/run-in-docker-action
+        with:
+          dockerfile: ./ci/linux-debian.Dockerfile
+          tag: linux-debian-image
+          command: |
+            g++ -Werror include/*.h
+            clang -Werror -x c++-header include/*.h
+
   sage:
     name: "SageMath prover"
     runs-on: ubuntu-latest