diff --git a/src/compiler/cse.rs b/src/compiler/cse.rs
index b292bc90..882ba791 100644
--- a/src/compiler/cse.rs
+++ b/src/compiler/cse.rs
@@ -1,10 +1,6 @@
 use rand_chacha::{rand_core::SeedableRng, ChaCha20Rng};
 
-use std::{
-    collections::{HashMap, HashSet},
-    hash::Hash,
-    marker::PhantomData,
-};
+use std::{collections::HashMap, hash::Hash, marker::PhantomData};
 
 use crate::{
     field::Field,
@@ -94,7 +90,6 @@ fn cse_for_step<F: Field + Hash, S: Scoring<F>>(
     scorer: &S,
 ) {
     let mut signal_factory = SignalFactory::default();
-    let mut replaced_hashes = HashSet::new();
 
     for _ in 0..config.max_iterations {
         // Step 1: Collect all queriables (forward and internal signals)
@@ -114,7 +109,7 @@ fn cse_for_step<F: Field + Hash, S: Scoring<F>>(
             .collect();
 
         // Step 5: Find the optimal subexpression to replace
-        if let Some(common_expr) = find_optimal_subexpression(&exprs, &replaced_hashes, scorer) {
+        if let Some(common_expr) = find_optimal_subexpression(&exprs, scorer) {
             // Step 6: Create a new signal for the common subexpression
             let (common_se, decomp) = create_common_ses_signal(&common_expr, &mut signal_factory);
 
@@ -124,9 +119,6 @@ fn cse_for_step<F: Field + Hash, S: Scoring<F>>(
                 decomp,
                 &common_se,
             );
-
-            // Step 8: Mark this subexpression as replaced
-            replaced_hashes.insert(common_expr.meta().hash);
         } else {
             // No more common subexpressions found, exit the loop
             break;
@@ -217,7 +209,6 @@ impl SubexprInfo {
 /// Find the optimal subexpression to replace in a list of expressions.
 fn find_optimal_subexpression<F: Field + Hash, S: Scoring<F>>(
     exprs: &[Expr<F, Queriable<F>, HashResult>],
-    replaced_hashes: &HashSet<u64>,
     scorer: &S,
 ) -> Option<Expr<F, Queriable<F>, HashResult>> {
     let mut count_map = HashMap::<u64, SubexprInfo>::new();
@@ -225,7 +216,7 @@ fn find_optimal_subexpression<F: Field + Hash, S: Scoring<F>>(
 
     // Extract all subexpressions and count them
     for expr in exprs.iter() {
-        count_subexpressions(expr, &mut count_map, &mut hash_to_expr, replaced_hashes);
+        count_subexpressions(expr, &mut count_map, &mut hash_to_expr);
     }
 
     // Find the best common subexpression to replace based on the score
@@ -248,35 +239,31 @@ fn count_subexpressions<F: Field + Hash>(
     expr: &Expr<F, Queriable<F>, HashResult>,
     count_map: &mut HashMap<u64, SubexprInfo>,
     hash_to_expr: &mut HashMap<u64, Expr<F, Queriable<F>, HashResult>>,
-    replaced_hashes: &HashSet<u64>,
 ) {
     let degree = expr.degree();
     let hash_result = expr.meta().hash;
 
-    // Only count and store if not already replaced
-    if !replaced_hashes.contains(&hash_result) {
-        // Store the expression with its hash
-        hash_to_expr.insert(hash_result, expr.clone());
+    // Store the expression with its hash
+    hash_to_expr.insert(hash_result, expr.clone());
 
-        count_map
-            .entry(hash_result)
-            .and_modify(|info| info.update(degree))
-            .or_insert(SubexprInfo::new(1, degree));
-    }
+    count_map
+        .entry(hash_result)
+        .and_modify(|info| info.update(degree))
+        .or_insert(SubexprInfo::new(1, degree));
 
     // Recurse into subexpressions
     match expr {
         Expr::Const(_, _) | Expr::Query(_, _) => {}
         Expr::Sum(exprs, _) | Expr::Mul(exprs, _) => {
             for subexpr in exprs {
-                count_subexpressions(subexpr, count_map, hash_to_expr, replaced_hashes);
+                count_subexpressions(subexpr, count_map, hash_to_expr);
             }
         }
         Expr::Neg(subexpr, _) | Expr::MI(subexpr, _) => {
-            count_subexpressions(subexpr, count_map, hash_to_expr, replaced_hashes);
+            count_subexpressions(subexpr, count_map, hash_to_expr);
         }
         Expr::Pow(subexpr, _, _) => {
-            count_subexpressions(subexpr, count_map, hash_to_expr, replaced_hashes);
+            count_subexpressions(subexpr, count_map, hash_to_expr);
         }
         _ => {}
     }
@@ -302,7 +289,7 @@ impl<F> poly::SignalFactory<Queriable<F>> for SignalFactory<F> {
 
 #[cfg(test)]
 mod test {
-    use std::collections::{HashMap, HashSet};
+    use std::collections::HashMap;
 
     use halo2_proofs::halo2curves::bn256::Fr;
     use rand_chacha::{rand_core::SeedableRng, ChaCha20Rng};
@@ -349,7 +336,7 @@ mod test {
 
         let scorer = Scorer::default();
 
-        let best_expr = find_optimal_subexpression(&hashed_exprs, &HashSet::new(), &scorer);
+        let best_expr = find_optimal_subexpression(&hashed_exprs, &scorer);
 
         assert_eq!(format!("{:?}", best_expr.unwrap()), "(e * f * d)");
     }