diff --git a/benches/compressed-snark.rs b/benches/compressed-snark.rs
index fa50554..d86fb14 100644
--- a/benches/compressed-snark.rs
+++ b/benches/compressed-snark.rs
@@ -30,10 +30,13 @@ criterion_main!(compressed_snark);
 
 fn bench_compressed_snark(c: &mut Criterion) {
   let num_samples = 10;
-
+  let num_cons_verifier_circuit_primary = 20584;
   // we vary the number of constraints in the step circuit
-  for &log_num_cons_in_step_circuit in [0, 14, 15, 16, 17, 18, 19, 20].iter() {
-    let num_cons = 1 << log_num_cons_in_step_circuit;
+  for &num_cons_in_augmented_circuit in
+    [20584, 32768, 65536, 131072, 262144, 524288, 1048576].iter()
+  {
+    // number of constraints in the step circuit
+    let num_cons = num_cons_in_augmented_circuit - num_cons_verifier_circuit_primary;
 
     let mut group = c.benchmark_group(format!("CompressedSNARK-StepCircuitSize-{}", num_cons));
     group.sample_size(num_samples);
@@ -54,8 +57,8 @@ fn bench_compressed_snark(c: &mut Criterion) {
         recursive_snark,
         NonTrivialTestCircuit::new(num_cons),
         TrivialTestCircuit::default(),
-        <G1 as Group>::Scalar::one(),
-        <G2 as Group>::Scalar::one(),
+        <G1 as Group>::Scalar::from(2u64),
+        <G2 as Group>::Scalar::from(2u64),
       );
       assert!(res.is_ok());
       let recursive_snark_unwrapped = res.unwrap();
@@ -64,8 +67,8 @@ fn bench_compressed_snark(c: &mut Criterion) {
       let res = recursive_snark_unwrapped.verify(
         &pp,
         i + 1,
-        <G1 as Group>::Scalar::one(),
-        <G2 as Group>::Scalar::one(),
+        <G1 as Group>::Scalar::from(2u64),
+        <G2 as Group>::Scalar::from(2u64),
       );
       assert!(res.is_ok());
 
@@ -95,8 +98,8 @@ fn bench_compressed_snark(c: &mut Criterion) {
           .verify(
             black_box(&pp),
             black_box(num_steps),
-            black_box(<G1 as Group>::Scalar::one()),
-            black_box(<G2 as Group>::Scalar::one()),
+            black_box(<G1 as Group>::Scalar::from(2u64)),
+            black_box(<G2 as Group>::Scalar::from(2u64)),
           )
           .is_ok());
       })
diff --git a/benches/recursive-snark.rs b/benches/recursive-snark.rs
index 7a95f59..18bed2d 100644
--- a/benches/recursive-snark.rs
+++ b/benches/recursive-snark.rs
@@ -27,9 +27,13 @@ targets = bench_recursive_snark
 criterion_main!(recursive_snark);
 
 fn bench_recursive_snark(c: &mut Criterion) {
+  let num_cons_verifier_circuit_primary = 20584;
   // we vary the number of constraints in the step circuit
-  for &log_num_cons_in_step_circuit in [0, 14, 15, 16, 17, 18, 19, 20].iter() {
-    let num_cons = 1 << log_num_cons_in_step_circuit;
+  for &num_cons_in_augmented_circuit in
+    [20584, 32768, 65536, 131072, 262144, 524288, 1048576].iter()
+  {
+    // number of constraints in the step circuit
+    let num_cons = num_cons_in_augmented_circuit - num_cons_verifier_circuit_primary;
 
     let mut group = c.benchmark_group(format!("RecursiveSNARK-StepCircuitSize-{}", num_cons));
     group.sample_size(10);
@@ -53,8 +57,8 @@ fn bench_recursive_snark(c: &mut Criterion) {
         recursive_snark,
         NonTrivialTestCircuit::new(num_cons),
         TrivialTestCircuit::default(),
-        <G1 as Group>::Scalar::one(),
-        <G2 as Group>::Scalar::one(),
+        <G1 as Group>::Scalar::from(2u64),
+        <G2 as Group>::Scalar::from(2u64),
       );
       assert!(res.is_ok());
       let recursive_snark_unwrapped = res.unwrap();
@@ -63,8 +67,8 @@ fn bench_recursive_snark(c: &mut Criterion) {
       let res = recursive_snark_unwrapped.verify(
         &pp,
         i + 1,
-        <G1 as Group>::Scalar::one(),
-        <G2 as Group>::Scalar::one(),
+        <G1 as Group>::Scalar::from(2u64),
+        <G2 as Group>::Scalar::from(2u64),
       );
       assert!(res.is_ok());
 
@@ -80,8 +84,8 @@ fn bench_recursive_snark(c: &mut Criterion) {
           black_box(recursive_snark.clone()),
           black_box(NonTrivialTestCircuit::new(num_cons)),
           black_box(TrivialTestCircuit::default()),
-          black_box(<G1 as Group>::Scalar::one()),
-          black_box(<G2 as Group>::Scalar::one()),
+          black_box(<G1 as Group>::Scalar::from(2u64)),
+          black_box(<G2 as Group>::Scalar::from(2u64)),
         )
         .is_ok());
       })
@@ -96,8 +100,8 @@ fn bench_recursive_snark(c: &mut Criterion) {
           .verify(
             black_box(&pp),
             black_box(num_warmup_steps),
-            black_box(<G1 as Group>::Scalar::one()),
-            black_box(<G2 as Group>::Scalar::one()),
+            black_box(<G1 as Group>::Scalar::from(2u64)),
+            black_box(<G2 as Group>::Scalar::from(2u64)),
           )
           .is_ok());
       });