diff --git a/plonky2/src/gadgets/select.rs b/plonky2/src/gadgets/select.rs
index db9be843..d234a003 100644
--- a/plonky2/src/gadgets/select.rs
+++ b/plonky2/src/gadgets/select.rs
@@ -32,9 +32,8 @@ impl<F: RichField + Extendable<D>, const D: usize> CircuitBuilder<F, D> {
 
     /// See `select_ext`.
     pub fn select(&mut self, b: BoolTarget, x: Target, y: Target) -> Target {
-        let x_ext = self.convert_to_ext(x);
-        let y_ext = self.convert_to_ext(y);
-        self.select_ext(b, x_ext, y_ext).to_target_array()[0]
+        let tmp = self.mul_sub(b.target, y, y);
+        self.mul_sub(b.target, x, tmp)
     }
 }
 
diff --git a/plonky2/src/plonk/conditional_recursive_verifier.rs b/plonky2/src/plonk/conditional_recursive_verifier.rs
index 4fe79b4c..1a006e07 100644
--- a/plonky2/src/plonk/conditional_recursive_verifier.rs
+++ b/plonky2/src/plonk/conditional_recursive_verifier.rs
@@ -24,7 +24,7 @@ impl<F: RichField + Extendable<D>, const D: usize> CircuitBuilder<F, D> {
         proof_with_pis0: ProofWithPublicInputsTarget<D>,
         inner_verifier_data0: &VerifierCircuitTarget,
         proof_with_pis1: ProofWithPublicInputsTarget<D>,
-        verifier_data1: &VerifierCircuitTarget,
+        inner_verifier_data1: &VerifierCircuitTarget,
         inner_common_data: &CommonCircuitData<F, C, D>,
     ) where
         C::Hasher: AlgebraicHasher<F>,
@@ -82,7 +82,7 @@ impl<F: RichField + Extendable<D>, const D: usize> CircuitBuilder<F, D> {
             constants_sigmas_cap: self.select_cap(
                 condition,
                 inner_verifier_data0.constants_sigmas_cap.clone(),
-                verifier_data1.constants_sigmas_cap.clone(),
+                inner_verifier_data1.constants_sigmas_cap.clone(),
             ),
         };