diff --git a/.github/workflows/compiler.yml b/.github/workflows/compiler.yml
index dd0d74b13..b30b2fc6a 100644
--- a/.github/workflows/compiler.yml
+++ b/.github/workflows/compiler.yml
@@ -2,7 +2,7 @@ name: Continuous integration - compiler
 
 on:
   push:
-    branches: [ main ]
+    branches: [ main, testci ]
   pull_request:
 
 env:
diff --git a/.github/workflows/optimizer-expensive-tests.yml b/.github/workflows/optimizer-expensive-tests.yml
new file mode 100644
index 000000000..6a1b4ddac
--- /dev/null
+++ b/.github/workflows/optimizer-expensive-tests.yml
@@ -0,0 +1,26 @@
+name: Continuous integration - Extra tests
+
+on:
+  push:
+    branches: [ main, testci ]
+  pull_request:
+
+env:
+  CARGO_TERM_COLOR: always
+jobs:
+  check-concrete-optimizer-expensive-tests:
+    runs-on: ubuntu-20.04
+    env:
+      RUSTFLAGS: -D warnings
+    steps:
+      - uses: actions/checkout@v3
+
+      - name: "Setup"
+        uses: ./.github/workflows/setup
+        with:
+          ssh_private_key: ${{ secrets.CONCRETE_COMPILER_CI_SSH_PRIVATE }}
+
+      - name: Tests
+        run: |
+          cd v0-parameters
+          cargo test --release --no-fail-fast --features=expensive_tests
diff --git a/.github/workflows/optimizer.yml b/.github/workflows/optimizer.yml
index 76f5ef2ce..292523405 100644
--- a/.github/workflows/optimizer.yml
+++ b/.github/workflows/optimizer.yml
@@ -2,7 +2,7 @@ name: Continuous integration
 
 on:
   push:
-    branches: [ main ]
+    branches: [ main, testci ]
   pull_request:
 
 env:
@@ -13,22 +13,12 @@ jobs:
     env:
       RUSTFLAGS: -D warnings
     steps:
-      - name: Code checkout
-        uses: actions/checkout@v3
+      - uses: actions/checkout@v3
 
-      - name: Rust install
-        uses: actions-rs/toolchain@v1
+      - name: "Setup"
+        uses: ./.github/workflows/setup
         with:
-          toolchain: stable
-
-      - name: Download cargo cache
-        uses: Swatinem/rust-cache@v1
-
-      # A SSH private key is required as some dependencies are from private repos
-      - name: Set ssh keys
-        uses: webfactory/ssh-agent@v0.5.2
-        with:
-          ssh-private-key: ${{ secrets.CONCRETE_COMPILER_CI_SSH_PRIVATE }}
+          ssh_private_key: ${{ secrets.CONCRETE_COMPILER_CI_SSH_PRIVATE }}
 
       - name: Formatting
         run: cargo fmt --check
diff --git a/.github/workflows/setup/action.yml b/.github/workflows/setup/action.yml
new file mode 100644
index 000000000..cd47d3aa8
--- /dev/null
+++ b/.github/workflows/setup/action.yml
@@ -0,0 +1,21 @@
+inputs:
+  ssh_private_key:
+    description: 'A ssh key to access private github repository'
+    required: true
+
+runs:
+  using: "composite"
+  steps:
+    - name: Rust install
+      uses: actions-rs/toolchain@v1
+      with:
+        toolchain: stable
+
+    - name: Download cargo cache
+      uses: Swatinem/rust-cache@v1
+
+    # A SSH private key is required as some dependencies are from private repos
+    - name: Set ssh keys
+      uses: webfactory/ssh-agent@v0.5.2
+      with:
+        ssh-private-key: ${{ inputs.ssh_private_key }}
diff --git a/v0-parameters/Cargo.toml b/v0-parameters/Cargo.toml
index 023b8bb4c..7c7e95259 100644
--- a/v0-parameters/Cargo.toml
+++ b/v0-parameters/Cargo.toml
@@ -3,6 +3,9 @@ name = "v0-parameters"
 version = "0.1.0"
 edition = "2021"
 
+[features]
+expensive_tests = []
+
 # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
 
 [dependencies]
diff --git a/v0-parameters/src/lib.rs b/v0-parameters/src/lib.rs
index bdf08111f..8bc0254e5 100644
--- a/v0-parameters/src/lib.rs
+++ b/v0-parameters/src/lib.rs
@@ -177,11 +177,29 @@ mod tests {
     use super::*;
     use concrete_optimizer::security::security_weights::SECURITY_WEIGHTS_TABLE;
 
+    #[cfg(not(feature = "expensive_tests"))]
+    const ONLY_SOME_SECURITY_LEVELS: bool = true;
+
+    #[cfg(feature = "expensive_tests")]
+    const ONLY_SOME_SECURITY_LEVELS: bool = false;
+
+    fn security_levels_to_test() -> Vec<u64> {
+        if ONLY_SOME_SECURITY_LEVELS {
+            vec![128]
+        } else {
+            SECURITY_WEIGHTS_TABLE.keys().copied().collect()
+        }
+    }
+
     #[test]
     fn test_reference_output() {
+        check_reference_output_on_levels(&security_levels_to_test());
+    }
+
+    fn check_reference_output_on_levels(security_levels: &[u64]) {
         const CMP_LINES: &str = "\n";
         const EXACT_EQUALITY: i32 = 0;
-        for &security_level in SECURITY_WEIGHTS_TABLE.keys() {
+        for &security_level in security_levels {
             let ref_file: &str = &format!("ref/v0_2022-7-4_{}", security_level);
             let args: Args = Args {
                 min_precision: 1,
@@ -214,9 +232,13 @@ mod tests {
 
     #[test]
     fn test_reference_wop_output() {
+        check_reference_wop_output_on_levels(&security_levels_to_test());
+    }
+
+    fn check_reference_wop_output_on_levels(security_levels: &[u64]) {
         const CMP_LINES: &str = "\n";
         const EXACT_EQUALITY: i32 = 0;
-        for &security_level in SECURITY_WEIGHTS_TABLE.keys() {
+        for &security_level in security_levels {
             let ref_file: &str = &format!("ref/wop_pbs_2022-7-11_{}", security_level);
 
             let args = Args {