diff --git a/test_programs/execution_success/regression_6674_1/Nargo.toml b/test_programs/execution_success/regression_6674_1/Nargo.toml
new file mode 100644
index 00000000000..ad87f9deb46
--- /dev/null
+++ b/test_programs/execution_success/regression_6674_1/Nargo.toml
@@ -0,0 +1,6 @@
+[package]
+name = "regression_6674_1"
+type = "bin"
+authors = [""]
+
+[dependencies]
diff --git a/test_programs/execution_success/regression_6674_1/src/main.nr b/test_programs/execution_success/regression_6674_1/src/main.nr
new file mode 100644
index 00000000000..724173b0973
--- /dev/null
+++ b/test_programs/execution_success/regression_6674_1/src/main.nr
@@ -0,0 +1,148 @@
+use std::mem::zeroed;
+
+pub struct BoundedVec4 {
+    storage: [Field; 4],
+    len: u32,
+}
+
+impl BoundedVec4 {
+    pub fn new() -> Self {
+        BoundedVec4 { storage: [0; 4], len: 0 }
+    }
+
+    pub fn push(&mut self, elem: Field) {
+        self.storage[self.len] = elem;
+        self.len += 1;
+    }
+}
+
+pub struct PrivateKernelCircuitPublicInputs {
+    pub l2_to_l1_msgs: [Field; 4],
+    pub public_call_requests: [Field; 4],
+}
+
+pub struct FixtureBuilder {
+    pub public_call_requests: BoundedVec4,
+    pub counter: Field,
+}
+
+impl FixtureBuilder {
+    pub fn new() -> Self {
+        FixtureBuilder { public_call_requests: zeroed(), counter: 0 }
+    }
+
+    pub fn add_public_call_request(&mut self) {
+        self.public_call_requests.push(self.next_counter());
+    }
+
+    pub fn append_public_call_requests(&mut self, num: u32) {
+        for _ in 0..num {
+            // Note that here we push via a method call, not directly
+            self.add_public_call_request();
+        }
+    }
+
+    fn next_counter(&mut self) -> Field {
+        let counter = self.counter;
+        self.counter += 1;
+        counter
+    }
+}
+
+pub struct PrivateAccumulatedDataBuilder {
+    pub l2_to_l1_msgs: BoundedVec4,
+    pub public_call_requests: BoundedVec4,
+}
+
+pub struct PrivateKernelCircuitPublicInputsBuilder {
+    end: PrivateAccumulatedDataBuilder,
+}
+
+pub struct PrivateKernelCircuitPublicInputsComposer {
+    public_inputs: PrivateKernelCircuitPublicInputsBuilder,
+}
+
+impl PrivateKernelCircuitPublicInputsComposer {
+    pub fn new_from_previous_kernel(
+        previous_kernel_public_inputs: PrivateKernelCircuitPublicInputs,
+    ) -> Self {
+        let mut public_inputs = PrivateKernelCircuitPublicInputsBuilder {
+            end: PrivateAccumulatedDataBuilder {
+                l2_to_l1_msgs: BoundedVec4::new(),
+                public_call_requests: BoundedVec4::new(),
+            },
+        };
+
+        let start = previous_kernel_public_inputs;
+        public_inputs.end.public_call_requests = BoundedVec4 {
+            storage: start.public_call_requests,
+            len: start.public_call_requests.len(),
+        };
+
+        PrivateKernelCircuitPublicInputsComposer { public_inputs }
+    }
+
+    pub unconstrained fn sort_ordered_values(&mut self) {
+        self.public_inputs.end.l2_to_l1_msgs.storage = sort_by(
+            self.public_inputs.end.l2_to_l1_msgs.storage,
+            |a: Field, _b: Field| a != 0,
+        );
+
+        self.public_inputs.end.public_call_requests.storage = sort_by(
+            self.public_inputs.end.public_call_requests.storage,
+            |a: Field, _b: Field| a != 0,
+        );
+    }
+}
+
+pub unconstrained fn sort_by<Env>(
+    array: [Field; 4],
+    ordering: fn[Env](Field, Field) -> bool,
+) -> [Field; 4] {
+    let mut result = array;
+    let sorted_index = unsafe { get_sorting_index(array, ordering) };
+    for i in 0..4 {
+        result[i] = array[sorted_index[i]];
+    }
+    result
+}
+
+unconstrained fn get_sorting_index<Env>(
+    array: [Field; 4],
+    ordering: fn[Env](Field, Field) -> bool,
+) -> [u32; 4] {
+    let mut result = [0; 4];
+    let mut a = array;
+    for i in 0..4 {
+        result[i] = i;
+    }
+    for i in 1..4 {
+        for j in 0..i {
+            if ordering(a[i], a[j]) {
+                let old_a_j = a[j];
+                a[j] = a[i];
+                a[i] = old_a_j;
+                let old_j = result[j];
+                result[j] = result[i];
+                result[i] = old_j;
+            }
+        }
+    }
+    result
+}
+
+unconstrained fn main() {
+    let mut previous_kernel = FixtureBuilder::new();
+    previous_kernel.append_public_call_requests(4);
+
+    let public_inputs = PrivateKernelCircuitPublicInputs {
+        l2_to_l1_msgs: [0; 4],
+        public_call_requests: previous_kernel.public_call_requests.storage,
+    };
+
+    let mut output_composer =
+        PrivateKernelCircuitPublicInputsComposer::new_from_previous_kernel(public_inputs);
+    output_composer.sort_ordered_values();
+
+    assert_eq(public_inputs.public_call_requests[3], 3, "equality");
+}
diff --git a/test_programs/execution_success/regression_6674_2/Nargo.toml b/test_programs/execution_success/regression_6674_2/Nargo.toml
new file mode 100644
index 00000000000..666765c8172
--- /dev/null
+++ b/test_programs/execution_success/regression_6674_2/Nargo.toml
@@ -0,0 +1,6 @@
+[package]
+name = "regression_6674_2"
+type = "bin"
+authors = [""]
+
+[dependencies]
diff --git a/test_programs/execution_success/regression_6674_2/src/main.nr b/test_programs/execution_success/regression_6674_2/src/main.nr
new file mode 100644
index 00000000000..6bfc63aa1e0
--- /dev/null
+++ b/test_programs/execution_success/regression_6674_2/src/main.nr
@@ -0,0 +1,144 @@
+use std::mem::zeroed;
+
+pub struct BoundedVec4 {
+    storage: [Field; 4],
+    len: u32,
+}
+
+impl BoundedVec4 {
+    pub fn new() -> Self {
+        BoundedVec4 { storage: [0; 4], len: 0 }
+    }
+
+    pub fn push(&mut self, elem: Field) {
+        self.storage[self.len] = elem;
+        self.len += 1;
+    }
+}
+
+pub struct PrivateKernelCircuitPublicInputs {
+    pub l2_to_l1_msgs: [Field; 4],
+    pub public_call_requests: [Field; 4],
+}
+
+pub struct FixtureBuilder {
+    pub public_call_requests: BoundedVec4,
+    pub counter: Field,
+}
+
+impl FixtureBuilder {
+    pub fn new() -> Self {
+        FixtureBuilder { public_call_requests: zeroed(), counter: 0 }
+    }
+
+    pub fn append_public_call_requests(&mut self, num: u32) {
+        for _ in 0..num {
+            // Note that here we push directly, not through a method call
+            self.public_call_requests.push(self.next_counter());
+        }
+    }
+
+    fn next_counter(&mut self) -> Field {
+        let counter = self.counter;
+        self.counter += 1;
+        counter
+    }
+}
+
+pub struct PrivateAccumulatedDataBuilder {
+    pub l2_to_l1_msgs: BoundedVec4,
+    pub public_call_requests: BoundedVec4,
+}
+
+pub struct PrivateKernelCircuitPublicInputsBuilder {
+    end: PrivateAccumulatedDataBuilder,
+}
+
+pub struct PrivateKernelCircuitPublicInputsComposer {
+    public_inputs: PrivateKernelCircuitPublicInputsBuilder,
+}
+
+impl PrivateKernelCircuitPublicInputsComposer {
+    pub fn new_from_previous_kernel(
+        previous_kernel_public_inputs: PrivateKernelCircuitPublicInputs,
+    ) -> Self {
+        let mut public_inputs = PrivateKernelCircuitPublicInputsBuilder {
+            end: PrivateAccumulatedDataBuilder {
+                l2_to_l1_msgs: BoundedVec4::new(),
+                public_call_requests: BoundedVec4::new(),
+            },
+        };
+
+        let start = previous_kernel_public_inputs;
+        public_inputs.end.public_call_requests = BoundedVec4 {
+            storage: start.public_call_requests,
+            len: start.public_call_requests.len(),
+        };
+
+        PrivateKernelCircuitPublicInputsComposer { public_inputs }
+    }
+
+    pub unconstrained fn sort_ordered_values(&mut self) {
+        self.public_inputs.end.l2_to_l1_msgs.storage = sort_by(
+            self.public_inputs.end.l2_to_l1_msgs.storage,
+            |a: Field, _b: Field| a != 0,
+        );
+
+        self.public_inputs.end.public_call_requests.storage = sort_by(
+            self.public_inputs.end.public_call_requests.storage,
+            |a: Field, _b: Field| a != 0,
+        );
+    }
+}
+
+pub unconstrained fn sort_by<Env>(
+    array: [Field; 4],
+    ordering: fn[Env](Field, Field) -> bool,
+) -> [Field; 4] {
+    let mut result = array;
+    let sorted_index = unsafe { get_sorting_index(array, ordering) };
+    for i in 0..4 {
+        result[i] = array[sorted_index[i]];
+    }
+    result
+}
+
+unconstrained fn get_sorting_index<Env>(
+    array: [Field; 4],
+    ordering: fn[Env](Field, Field) -> bool,
+) -> [u32; 4] {
+    let mut result = [0; 4];
+    let mut a = array;
+    for i in 0..4 {
+        result[i] = i;
+    }
+    for i in 1..4 {
+        for j in 0..i {
+            if ordering(a[i], a[j]) {
+                let old_a_j = a[j];
+                a[j] = a[i];
+                a[i] = old_a_j;
+                let old_j = result[j];
+                result[j] = result[i];
+                result[i] = old_j;
+            }
+        }
+    }
+    result
+}
+
+unconstrained fn main() {
+    let mut previous_kernel = FixtureBuilder::new();
+    previous_kernel.append_public_call_requests(4);
+
+    let public_inputs = PrivateKernelCircuitPublicInputs {
+        l2_to_l1_msgs: [0; 4],
+        public_call_requests: previous_kernel.public_call_requests.storage,
+    };
+
+    let mut output_composer =
+        PrivateKernelCircuitPublicInputsComposer::new_from_previous_kernel(public_inputs);
+    output_composer.sort_ordered_values();
+
+    assert_eq(public_inputs.public_call_requests[3], 3, "equality");
+}