diff --git a/src/circuit_builder.rs b/src/circuit_builder.rs
index c29fda79..3a26497e 100644
--- a/src/circuit_builder.rs
+++ b/src/circuit_builder.rs
@@ -11,8 +11,7 @@ use crate::field::cosets::get_unique_coset_shifts;
 use crate::field::extension_field::target::ExtensionTarget;
 use crate::field::extension_field::Extendable;
 use crate::gates::constant::ConstantGate;
-use crate::gates::gate::{GateInstance, GatePrefixes, GateRef};
-use crate::gates::gate_tree::Tree;
+use crate::gates::gate::{GateInstance, GateRef};
 use crate::gates::noop::NoopGate;
 use crate::generator::{CopyGenerator, WitnessGenerator};
 use crate::hash::hash_n_to_hash;
@@ -280,12 +279,6 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
 
     /// Builds a "full circuit", with both prover and verifier data.
     pub fn build(mut self) -> CircuitData<F, D> {
-        let gates = self.gates.iter().cloned().collect();
-        let tree = Tree::from_gates(gates);
-        let prefixes = GatePrefixes::from(tree);
-        for (g, p) in &prefixes.prefixes {
-            println!("{}: {:?}", g.0.id(), p);
-        }
         let start = Instant::now();
         info!(
             "degree before blinding & padding: {}",
diff --git a/src/gates/gate_tree.rs b/src/gates/gate_tree.rs
index 7ece765e..8081ab25 100644
--- a/src/gates/gate_tree.rs
+++ b/src/gates/gate_tree.rs
@@ -167,3 +167,71 @@ impl<F: Extendable<D>, const D: usize> Tree<GateRef<F, D>> {
         }
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use crate::field::crandall_field::CrandallField;
+    use crate::gates::arithmetic::ArithmeticGate;
+    use crate::gates::base_sum::BaseSumGate;
+    use crate::gates::constant::ConstantGate;
+    use crate::gates::gmimc::GMiMCGate;
+    use crate::gates::interpolation::InterpolationGate;
+    use crate::gates::mul_extension::MulExtensionGate;
+    use crate::gates::noop::NoopGate;
+    use crate::hash::GMIMC_ROUNDS;
+
+    #[test]
+    fn test_prefix_generation() {
+        type F = CrandallField;
+        const D: usize = 4;
+
+        let gates = vec![
+            NoopGate::get::<F, D>(),
+            ConstantGate::get(),
+            ArithmeticGate::new(),
+            BaseSumGate::<4>::new(4),
+            GMiMCGate::<F, D, GMIMC_ROUNDS>::with_automatic_constants(),
+            InterpolationGate::new(4),
+            MulExtensionGate::new(),
+        ];
+        let len = gates.len();
+
+        let tree = Tree::from_gates(gates.clone());
+        let mut gates_with_prefix = tree.traversal();
+        for (g, p) in &gates_with_prefix {
+            println!("{}: {:?}", g.0.id(), p);
+        }
+
+        assert_eq!(
+            gates_with_prefix.len(),
+            gates.len(),
+            "The tree has too much or too little gates."
+        );
+        assert!(
+            gates.iter().all(|g| gates_with_prefix
+                .iter()
+                .map(|(gg, _)| gg)
+                .find(|gg| *gg == g)
+                .is_some()),
+            "Some gates are not in the tree."
+        );
+        assert!(
+            gates_with_prefix
+                .iter()
+                .all(|(g, p)| g.0.degree() + g.0.num_constants() + p.len() <= 8),
+            "Total degree is larger than 8."
+        );
+
+        gates_with_prefix.sort_unstable_by_key(|(g, p)| p.len());
+        for i in 0..gates_with_prefix.len() {
+            for j in i + 1..gates_with_prefix.len() {
+                assert_ne!(
+                    &gates_with_prefix[i].1,
+                    &gates_with_prefix[j].1[0..gates_with_prefix[i].1.len()],
+                    "Some gates share the same prefix"
+                );
+            }
+        }
+    }
+}