diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml
index 82f80460..96e70464 100644
--- a/.github/workflows/rust.yml
+++ b/.github/workflows/rust.yml
@@ -12,27 +12,6 @@ env:
   CARGO_REGISTRIES_CRATES_IO_PROTOCOL: sparse
 
 jobs:
-  rustfmt_and_clippy:
-    name: Rustfmt and Clippy
-    runs-on: ubuntu-latest
-
-    steps:
-      - uses: actions/checkout@v4
-
-      - name: Install Rust Nightly with rustfmt and clippy
-        uses: dtolnay/rust-toolchain@stable
-        with:
-          toolchain: nightly
-          components: rustfmt, clippy
-
-      - uses: Swatinem/rust-cache@v2.7.3
-
-      - name: "Check formatting"
-        run: cargo +nightly fmt --check --all
-
-      - name: Run Clippy
-        run: cargo clippy --all-targets --all-features
-
   build_and_test:
     name: "Build and Test"
     runs-on: ubuntu-latest
@@ -47,9 +26,6 @@ jobs:
 
       - uses: Swatinem/rust-cache@v2.7.3
 
-      - name: Cargo update
-        run: cargo update
-
       - name: "Build"
         run: cargo build
 
@@ -63,6 +39,27 @@ jobs:
         #   RUSTDOCFLAGS: -D warnings
         run: cargo doc --no-deps --workspace --lib --document-private-items --examples
 
+  rustfmt_and_clippy:
+    name: Rustfmt and Clippy
+    runs-on: ubuntu-latest
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Install Rust Nightly with rustfmt and clippy
+        uses: dtolnay/rust-toolchain@stable
+        with:
+          toolchain: nightly
+          components: rustfmt, clippy
+
+      - uses: Swatinem/rust-cache@v2.7.3
+
+      - name: "Check formatting"
+        run: cargo +nightly fmt --check --all
+
+      - name: Run Clippy
+        run: cargo clippy --all-targets --all-features
+
   miri:
     if: ( ! github.event.pull_request.draft )
     name: "Test with Miri"
@@ -71,16 +68,13 @@ jobs:
     steps:
       - uses: actions/checkout@v4
 
-      - name: Stable
+      - name: Install Rust nightly with Miri
         uses: dtolnay/rust-toolchain@stable
         with:
           toolchain: nightly
           components: miri
       
       - uses: Swatinem/rust-cache@v2.7.3
-
-      - name: Cargo update
-        run: cargo update
       
       - name: Test with Miri on x86_64
         run: cargo miri test -p clmul -p matrix-transpose --target x86_64-unknown-linux-gnu