diff --git a/acvm-repo/acvm/src/compiler/optimizers/mod.rs b/acvm-repo/acvm/src/compiler/optimizers/mod.rs
index 1b743227ac..3531825c70 100644
--- a/acvm-repo/acvm/src/compiler/optimizers/mod.rs
+++ b/acvm-repo/acvm/src/compiler/optimizers/mod.rs
@@ -37,7 +37,7 @@ pub fn optimize<F: AcirField>(acir: Circuit<F>) -> (Circuit<F>, AcirTransformati
 /// Applies [`ProofSystemCompiler`][crate::ProofSystemCompiler] independent optimizations to a [`Circuit`].
 ///
 /// Accepts an injected `acir_opcode_positions` to allow optimizations to be applied in a loop.
-#[tracing::instrument(level = "trace", name = "optimize_acir" skip(acir))]
+#[tracing::instrument(level = "trace", name = "optimize_acir" skip(acir, acir_opcode_positions))]
 pub(super) fn optimize_internal<F: AcirField>(
     acir: Circuit<F>,
     acir_opcode_positions: Vec<usize>,
diff --git a/compiler/noirc_evaluator/src/ssa/checks/check_for_underconstrained_values.rs b/compiler/noirc_evaluator/src/ssa/checks/check_for_underconstrained_values.rs
index 40c9dc03ec..f092f63cd0 100644
--- a/compiler/noirc_evaluator/src/ssa/checks/check_for_underconstrained_values.rs
+++ b/compiler/noirc_evaluator/src/ssa/checks/check_for_underconstrained_values.rs
@@ -229,7 +229,7 @@ impl DependencyContext {
         function: &Function,
         all_functions: &BTreeMap<FunctionId, Function>,
     ) {
-        trace!("processing instructions of block {} of function {}", block, function);
+        trace!("processing instructions of block {} of function {}", block, function.id());
 
         for instruction in function.dfg[block].instructions() {
             let mut arguments = Vec::new();
@@ -319,11 +319,6 @@ impl DependencyContext {
                         Value::Function(callee) => match all_functions[&callee].runtime() {
                             RuntimeType::Brillig(_) => {
                                 // Record arguments/results for each Brillig call for the check
-                                trace!(
-                                    "Brillig function {} called at {}",
-                                    all_functions[&callee],
-                                    instruction
-                                );
                                 self.tainted.insert(
                                     *instruction,
                                     BrilligTaintedIds::new(&arguments, &results),
@@ -376,7 +371,7 @@ impl DependencyContext {
             }
         }
 
-        trace!("resulting Brillig involved values: {:?}", self.tainted);
+        trace!("Number tainted Brillig calls: {}", self.tainted.len());
     }
 
     /// Every Brillig call not properly constrained should remain in the tainted set
@@ -392,7 +387,11 @@ impl DependencyContext {
             })
             .collect();
 
-        trace!("making following reports for function {}: {:?}", function.name(), warnings);
+        trace!(
+            "making {} under constrained reports for function {}",
+            warnings.len(),
+            function.name()
+        );
         warnings
     }
 
@@ -407,8 +406,6 @@ impl DependencyContext {
     /// Check if any of the recorded Brillig calls have been properly constrained
     /// by given values after recording partial constraints, if so stop tracking them
     fn clear_constrained(&mut self, constrained_values: &[ValueId], function: &Function) {
-        trace!("attempting to clear Brillig calls constrained by values: {:?}", constrained_values);
-
         // Remove numeric constants
         let constrained_values =
             constrained_values.iter().filter(|v| function.dfg.get_numeric_constant(**v).is_none());