reth_trie_sparse/arena/

mod.rs

mod branch_child_idx;
mod cursor;
mod node_arena;
mod nodes;

use branch_child_idx::{BranchChildIdx, BranchChildIter};
use cursor::{branch_idx, ArenaCursor, NextResult, SeekResult};
use node_arena::{BranchChild, Index, NodeArena};
use nodes::{ArenaSparseNode, ArenaSparseNodeBranch, ArenaSparseNodeState};

use crate::{
    LeafLookup, LeafLookupError, LeafUpdate, SparseTrie, SparseTrieUpdates, TrieNodeEpoch,
};
use alloc::{borrow::Cow, boxed::Box, vec::Vec};
use alloy_primitives::{keccak256, map::B256Map, B256};
use alloy_trie::TrieMask;
use core::{cmp::Reverse, mem};
use rayon::iter::{IntoParallelIterator, IntoParallelRefMutIterator, ParallelIterator};
use reth_execution_errors::{SparseTrieErrorKind, SparseTrieResult};
use reth_trie_common::{
    BranchNodeMasks, BranchNodeRef, ExtensionNodeRef, LeafNodeRef, Nibbles, ProofTrieNodeV2,
    ProofV2TargetParent, RlpNode, TrieNodeV2, EMPTY_ROOT_HASH,
};
use smallvec::SmallVec;
use tracing::{instrument, trace};

const TRACE_TARGET: &str = "trie::arena";

/// The maximum path length (in nibbles) for nodes that live in the upper trie. Nodes at this
/// depth or deeper belong to lower subtries.
const UPPER_TRIE_MAX_DEPTH: usize = 2;

/// Returns the branch data for a branch or extension node.
fn branch_data(arena: &NodeArena, idx: Index) -> &ArenaSparseNodeBranch {
    arena[branch_idx(arena, idx).expect("node must be a branch or extension")].branch_ref()
}

/// Returns the mutable branch data for a branch or extension node.
fn branch_data_mut(arena: &mut NodeArena, idx: Index) -> &mut ArenaSparseNodeBranch {
    let idx = branch_idx(arena, idx).expect("node must be a branch or extension");
    arena[idx].branch_mut()
}

/// Returns the cached or dirty state for a node, following extension and subtrie roots.
fn node_state_ref(arena: &NodeArena, idx: Index) -> Option<&ArenaSparseNodeState> {
    match &arena[idx] {
        ArenaSparseNode::Extension { child, .. } => node_state_ref(arena, *child),
        ArenaSparseNode::Subtrie(subtrie) => node_state_ref(&subtrie.arena, subtrie.root),
        node => node.state_ref(),
    }
}

/// Returns mutable cached or dirty state for a branch, extension, leaf, or empty root node.
fn node_state_mut(arena: &mut NodeArena, idx: Index) -> &mut ArenaSparseNodeState {
    let idx = arena[idx].extension_child().unwrap_or(idx);
    arena[idx].state_mut()
}

/// Returns whether a node should contribute a bit in its parent's tree mask.
fn node_tree_mask_bit(arena: &NodeArena, idx: Index) -> bool {
    match &arena[idx] {
        ArenaSparseNode::Branch(branch) => !branch.branch_masks.is_empty(),
        ArenaSparseNode::Extension { child, .. } => {
            !arena[*child].branch_ref().branch_masks.is_empty()
        }
        ArenaSparseNode::Subtrie(subtrie) => node_tree_mask_bit(&subtrie.arena, subtrie.root),
        _ => false,
    }
}

/// Moves a node into another arena, keeping an extension with its branch child.
fn move_node(dst: &mut NodeArena, src: &mut NodeArena, idx: Index) -> Index {
    let node = src.drain_node(idx);
    let new_idx = dst.insert(node);
    if let Some(child_idx) = dst[new_idx].extension_child() {
        let child = src.drain_node(child_idx);
        let new_child_idx = dst.insert(child);
        let ArenaSparseNode::Extension { child, .. } = &mut dst[new_idx] else { unreachable!() };
        *child = new_child_idx;
    }
    new_idx
}

/// Compacts an arena by BFS-copying all reachable nodes into a fresh arena, dropping
/// unreachable (pruned) slots. Parents are stored before children for cache-friendly top-down
/// traversal.
fn compact_arena(arena: &mut NodeArena, root: &mut Index) {
    let mut new_arena = NodeArena::with_capacity(arena.len());
    let mut marks = new_arena.adopt_blinded(arena);
    let root_node = arena.drain_node(*root);
    let new_root = new_arena.insert(root_node);

    // Nodes append consecutively without removals, so the destination vector is also the BFS
    // queue. Each visited node's children still reference the source arena until rewritten.
    let mut next = 0;
    while next < new_arena.len() {
        let new_idx = Index::new(next);
        next += 1;
        if let ArenaSparseNode::Extension { child, .. } = new_arena[new_idx] {
            let child_node = arena.drain_node(child);
            let new_child_idx = new_arena.insert(child_node);
            let ArenaSparseNode::Extension { child, .. } = &mut new_arena[new_idx] else {
                unreachable!()
            };
            *child = new_child_idx;
            continue;
        }

        let old_children: SmallVec<[(usize, Index); 16]> = match &new_arena[new_idx] {
            ArenaSparseNode::Branch(b) => b
                .children
                .iter()
                .enumerate()
                .filter_map(|(pos, child)| match child.revealed_index() {
                    Some(old_child_idx) => Some((pos, old_child_idx)),
                    // A blinded child needs no rewrite, its slot survived the adoption.
                    None => {
                        marks.mark(*child);
                        None
                    }
                })
                .collect(),
            _ => continue,
        };

        for (child_pos, old_child_idx) in old_children {
            let child_node = arena.drain_node(old_child_idx);
            let new_child_idx = new_arena.insert(child_node);
            debug_assert_eq!(
                new_child_idx.get() + 1,
                new_arena.len(),
                "compaction must append, the destination doubles as the BFS queue",
            );
            new_arena[new_idx].branch_mut().children[child_pos] =
                BranchChild::revealed(new_child_idx);
        }
    }

    debug_assert!(
        arena.iter().next().is_none(),
        "compact_arena: {} orphaned nodes remaining after BFS drain",
        arena.iter().count(),
    );

    new_arena.sweep_blinded(marks);
    *arena = new_arena;
    *root = new_root;
}

/// Reusable traversal state and optional accumulators shared by
/// [`ArenaSparseSubtrie`] and [`ArenaParallelSparseTrie`].
#[derive(Debug, Default, Clone)]
struct ArenaTrieBuffers {
    /// Reusable cursor for trie traversals.
    cursor: ArenaCursor,
    /// Trie updates built up directly during hashing and structural changes. `Some` when
    /// tracking updates, `None` otherwise. Initialized alongside `updates` in `set_updates`.
    updates: Option<SparseTrieUpdates>,
    /// Reusable buffer for RLP encoding.
    rlp_buf: Vec<u8>,
    /// Reusable buffer for child `RlpNode`s during hashing.
    rlp_node_buf: Vec<RlpNode>,
}

impl ArenaTrieBuffers {
    fn clear(&mut self) {
        if let Some(updates) = self.updates.as_mut() {
            updates.clear();
        }
        self.rlp_buf.clear();
        self.rlp_node_buf.clear();
    }
}

/// A subtrie within the arena-based parallel sparse trie.
///
/// Each subtrie owns its own arena, allowing parallel mutations across subtries.
#[derive(Debug, Clone)]
struct ArenaSparseSubtrie {
    /// The arena allocating nodes within this subtrie.
    arena: NodeArena,
    /// The root node of this subtrie.
    root: Index,
    /// The absolute path of this subtrie's root in the full trie.
    path: Nibbles,
    /// Reusable buffers for traversal, RLP encoding, and update actions.
    buffers: ArenaTrieBuffers,
    /// Reusable buffer for collecting required proofs during leaf updates.
    /// Each entry is `(index, proof)` where `index` is the position of the target in the
    /// `sorted_updates` slice passed to [`Self::update_leaves`].
    required_proofs: Vec<(usize, ArenaRequiredProof)>,
    /// Total number of revealed leaves in this subtrie.
    num_leaves: u64,
    /// Number of dirty (modified since last hash) leaves in this subtrie.
    num_dirty_leaves: u64,
}

impl ArenaSparseSubtrie {
    /// Creates a new subtrie with a pre-allocated root slot containing
    /// [`ArenaSparseNode::EmptyRoot`]. The caller must overwrite `subtrie.arena[subtrie.root]`
    /// before use.
    fn new(record_updates: bool) -> Box<Self> {
        let mut arena = NodeArena::new();
        let root =
            arena.insert(ArenaSparseNode::EmptyRoot { state: ArenaSparseNodeState::Revealed });
        let buffers = ArenaTrieBuffers {
            updates: record_updates.then(SparseTrieUpdates::default),
            ..Default::default()
        };
        Box::new(Self {
            arena,
            root,
            path: Nibbles::default(),
            buffers,
            required_proofs: Vec::new(),
            num_leaves: 0,
            num_dirty_leaves: 0,
        })
    }

    /// Asserts that `num_leaves` and `num_dirty_leaves` match the actual counts in the arena.
    #[cfg(all(debug_assertions, not(feature = "fuzz")))]
    fn debug_assert_counters(&self) {
        let (actual_leaves, actual_dirty) =
            ArenaParallelSparseTrie::count_leaves_and_dirty(&self.arena, self.root);
        debug_assert_eq!(
            self.num_leaves, actual_leaves,
            "subtrie {:?} num_leaves mismatch: stored {} vs actual {}",
            self.path, self.num_leaves, actual_leaves,
        );
        debug_assert_eq!(
            self.num_dirty_leaves, actual_dirty,
            "subtrie {:?} num_dirty_leaves mismatch: stored {} vs actual {}",
            self.path, self.num_dirty_leaves, actual_dirty,
        );
    }

    /// Collapses nodes last modified before `prune_before` into hash stubs while copying retained
    /// nodes into a compacted arena.
    ///
    /// Expects that all nodes have computed hashes (i.e. `prune` is called after hashing).
    fn prune(&mut self, prune_before: TrieNodeEpoch) -> usize {
        // Only branches can have pruneable children.
        if branch_idx(&self.arena, self.root).is_none() {
            return 0;
        }

        debug_assert_eq!(self.num_dirty_leaves, 0, "prune must run after hashing");

        if prune_before == TrieNodeEpoch::UNMODIFIED {
            return 0;
        }

        let old_count = self.arena.len();
        // Reserve an upper bound on the retained nodes and hand the excess back after the copy,
        // so that copying never reallocates but discarded nodes still release their capacity.
        let mut new_arena = NodeArena::with_capacity(old_count);
        let mut marks = new_arena.adopt_blinded(&mut self.arena);
        let mut new_num_leaves = 0u64;

        // The subtrie root is retained by the owning upper trie.
        let new_root = move_node(&mut new_arena, &mut self.arena, self.root);
        let mut stack = Vec::new();
        if let Some(frame) =
            prepare_retained_node(&new_arena, new_root, self.path, &mut new_num_leaves)
        {
            stack.push(frame);
        }

        while let Some(frame) = stack.last_mut() {
            let Some((child_pos, nibble, child)) = frame.next_child(&new_arena) else {
                stack.pop();
                continue;
            };

            let Some(old_child_idx) = child.revealed_index() else {
                // A blinded child needs no rewrite, its slot survived the adoption.
                marks.mark(child);
                continue;
            };

            let parent_new_idx = frame.new_idx;
            let mut child_path = frame.branch_logical_path;
            child_path.push(nibble);

            let child_epoch = node_state_ref(&self.arena, old_child_idx)
                .and_then(ArenaSparseNodeState::cached_epoch)
                .expect("prune must run after hashing");

            if child_epoch.should_prune(prune_before) {
                let node = &self.arena[old_child_idx];
                let rlp_node = node_state_ref(&self.arena, old_child_idx)
                    .and_then(ArenaSparseNodeState::cached_rlp_node)
                    .cloned()
                    .expect("prune must run after hashing");
                trace!(
                    target: TRACE_TARGET,
                    path = ?child_path,
                    variant = %AsRef::<str>::as_ref(node),
                    cached_rlp_node = ?rlp_node,
                    "pruning node",
                );
                let new_child = new_arena.insert_blinded(rlp_node);
                marks.mark(new_child);
                branch_data_mut(&mut new_arena, parent_new_idx).children[child_pos] = new_child;
                let node = self.arena.drain_node(old_child_idx);
                if let Some(child) = node.extension_child() {
                    self.arena.drain_node(child);
                }
            } else {
                let new_child_idx = move_node(&mut new_arena, &mut self.arena, old_child_idx);
                if let Some(frame) = prepare_retained_node(
                    &new_arena,
                    new_child_idx,
                    child_path,
                    &mut new_num_leaves,
                ) {
                    stack.push(frame);
                }
                branch_data_mut(&mut new_arena, parent_new_idx).children[child_pos] =
                    BranchChild::revealed(new_child_idx);
            }
        }

        new_arena.sweep_blinded(marks);
        new_arena.shrink_nodes_to_fit();
        let pruned = old_count - new_arena.len();
        self.num_leaves = new_num_leaves;
        self.num_dirty_leaves = 0;
        self.arena = new_arena;
        self.root = new_root;

        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        self.debug_assert_counters();
        return pruned;

        struct CopyFrame {
            new_idx: Index,
            branch_logical_path: Nibbles,
            state_mask: TrieMask,
            remaining_child_mask: TrieMask,
        }

        impl CopyFrame {
            fn next_child(&mut self, new_arena: &NodeArena) -> Option<(usize, u8, BranchChild)> {
                let b = branch_data(new_arena, self.new_idx);

                let nibble = self.remaining_child_mask.first_set_bit_index()?;
                self.remaining_child_mask.unset_bit(nibble);
                let child_idx = BranchChildIdx::new(self.state_mask, nibble)
                    .expect("remaining_child_mask must be a subset of state_mask");

                Some((child_idx.get(), nibble, b.children[child_idx]))
            }
        }

        /// Prepares a retained node for copying, returning a stack frame when the node has children
        /// to walk.
        fn prepare_retained_node(
            new_arena: &NodeArena,
            new_idx: Index,
            node_path: Nibbles,
            new_num_leaves: &mut u64,
        ) -> Option<CopyFrame> {
            if branch_idx(new_arena, new_idx).is_none() {
                if matches!(&new_arena[new_idx], ArenaSparseNode::Leaf { .. }) {
                    *new_num_leaves += 1;
                }
                return None;
            }
            let b = branch_data(new_arena, new_idx);

            let mut branch_logical_path = node_path;
            if let Some(key) = new_arena[new_idx].extension_key() {
                branch_logical_path.extend(key);
            }

            Some(CopyFrame {
                new_idx,
                branch_logical_path,
                state_mask: b.state_mask,
                remaining_child_mask: b.state_mask,
            })
        }
    }

    /// Applies leaf updates within this subtrie. Uses the same walk-down-with-cursor pattern as
    /// [`Self::reveal_nodes`], but checks accessibility for [`LeafUpdate::Touched`] entries.
    ///
    /// `sorted_updates` must be sorted lexicographically by their nibbles path (index 1).
    ///
    /// Any required proofs are appended to `self.required_proofs` and should be drained by the
    /// caller after this method returns.
    #[instrument(
        level = "trace",
        target = TRACE_TARGET,
        skip_all,
        fields(
            subtrie = ?self.path,
            num_updates = sorted_updates.len(),
        ),
    )]
    fn update_leaves(&mut self, sorted_updates: &[(B256, Nibbles, LeafUpdate)]) {
        if sorted_updates.is_empty() {
            return;
        }
        trace!(target: TRACE_TARGET, "Subtrie update_leaves");

        debug_assert!(
            !matches!(self.arena[self.root], ArenaSparseNode::EmptyRoot { .. }),
            "subtrie root must not be EmptyRoot at start of update_leaves"
        );

        self.buffers.cursor.reset(&self.arena, self.root, self.path);

        for (idx, &(key, ref full_path, ref update)) in sorted_updates.iter().enumerate() {
            let find_result = self.buffers.cursor.seek(&mut self.arena, full_path);

            // If the path hits a blinded node, request a proof regardless of update type.
            if matches!(find_result, SeekResult::Blinded) {
                let logical_len = self.buffers.cursor.head_logical_branch_path_len(&self.arena);
                self.required_proofs.push((
                    idx,
                    ArenaRequiredProof { key, parent: ProofV2TargetParent::new(logical_len) },
                ));
                continue;
            }

            match update {
                LeafUpdate::Changed(value) if !value.is_empty() => {
                    // Upsert: insert or update a leaf with the given value.
                    let (_result, deltas) = ArenaParallelSparseTrie::upsert_leaf(
                        &mut self.arena,
                        &mut self.buffers.cursor,
                        &mut self.root,
                        full_path,
                        value,
                        find_result,
                    );
                    self.num_leaves = (self.num_leaves as i64 + deltas.num_leaves_delta) as u64;
                    self.num_dirty_leaves =
                        (self.num_dirty_leaves as i64 + deltas.num_dirty_leaves_delta) as u64;
                }
                LeafUpdate::Changed(_) => {
                    let (result, deltas) = ArenaParallelSparseTrie::remove_leaf(
                        &mut self.arena,
                        &mut self.buffers.cursor,
                        &mut self.root,
                        key,
                        full_path,
                        find_result,
                        &mut self.buffers.updates,
                    );
                    self.num_leaves = (self.num_leaves as i64 + deltas.num_leaves_delta) as u64;
                    self.num_dirty_leaves =
                        (self.num_dirty_leaves as i64 + deltas.num_dirty_leaves_delta) as u64;

                    // The removed leaf is already revealed, so only the blinded sibling needs a
                    // proof. The caller retries the update once that sibling is revealed.
                    if let RemoveLeafResult::NeedsProof { proof_key, parent, .. } = result {
                        self.required_proofs
                            .push((idx, ArenaRequiredProof { key: proof_key, parent }));
                    }
                }
                LeafUpdate::Touched => {}
            }
        }

        // Drain remaining cursor entries, propagating dirty state.
        self.buffers.cursor.drain(&mut self.arena);

        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        self.debug_assert_counters();
    }

    /// Reveals nodes inside this subtrie. Uses [`ArenaCursor::seek`] to locate the ancestor
    /// node, then replaces blinded children with the proof nodes.
    fn reveal_nodes(&mut self, nodes: &mut [ProofTrieNodeV2]) -> SparseTrieResult<()> {
        if nodes.is_empty() {
            return Ok(());
        }
        trace!(target: TRACE_TARGET, path = ?self.path, num_nodes = nodes.len(), "Subtrie reveal_nodes");

        debug_assert!(
            !matches!(self.arena[self.root], ArenaSparseNode::EmptyRoot { .. }),
            "subtrie root must not be EmptyRoot in reveal_nodes"
        );

        self.buffers.cursor.reset(&self.arena, self.root, self.path);

        for node in nodes.iter_mut() {
            let find_result = self.buffers.cursor.seek(&mut self.arena, &node.path);
            if ArenaParallelSparseTrie::reveal_node(
                &mut self.arena,
                &self.buffers.cursor,
                node,
                find_result,
            )
            .is_some_and(|child_idx| matches!(self.arena[child_idx], ArenaSparseNode::Leaf { .. }))
            {
                self.num_leaves += 1;
            }
        }

        // Drain remaining cursor entries, propagating dirty state.
        self.buffers.cursor.drain(&mut self.arena);

        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        self.debug_assert_counters();

        Ok(())
    }

    /// Computes and caches `RlpNode` for all dirty nodes via iterative post-order DFS.
    /// After this call every node reachable from `self.root` will be in `Cached` state.
    ///
    /// Trie updates are written directly to `self.buffers.updates` (if `Some`).
    fn update_cached_rlp(&mut self, new_epoch: TrieNodeEpoch) {
        ArenaParallelSparseTrie::update_cached_rlp(
            &mut self.arena,
            self.root,
            self.path,
            &mut self.buffers,
            new_epoch,
        );
        self.num_dirty_leaves = 0;
        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        self.debug_assert_counters();
    }
}

/// Tracks the net change in leaf counters caused by a trie mutation (upsert or removal).
/// Returned alongside [`UpsertLeafResult`] / [`RemoveLeafResult`] so the caller can maintain
/// aggregate counters on [`ArenaSparseSubtrie`] without scanning the arena.
#[derive(Debug, Default)]
struct SubtrieCounterDeltas {
    num_leaves_delta: i64,
    num_dirty_leaves_delta: i64,
}

/// Result of `upsert_leaf` indicating whether a new child was created that the caller
/// may need to wrap as a subtrie (in the upper trie).
#[derive(Debug)]
enum UpsertLeafResult {
    /// A leaf was updated in place (no structural change).
    Updated,
    /// A new leaf was created (e.g. EmptyRoot→Leaf, or root-level split).
    NewLeaf,
    /// A new child (branch or leaf) was created or inserted. The child is the cursor head
    /// and its parent is the cursor's parent.
    NewChild,
}

/// Result of `remove_leaf` indicating whether a proof is needed to complete a branch
/// collapse.
#[derive(Debug)]
enum RemoveLeafResult {
    /// No proof needed — the removal (and any collapse) completed fully.
    Removed,
    /// No leaf was found at the given path (no-op).
    NotFound,
    /// The branch collapse requires revealing a blinded sibling. The caller must request a
    /// proof for the given key below the revealed logical parent branch.
    NeedsProof { key: B256, proof_key: B256, parent: ProofV2TargetParent },
}

/// A proof request generated during leaf updates when a blinded node is encountered.
#[derive(Debug, Clone)]
struct ArenaRequiredProof {
    /// The key requiring a proof.
    key: B256,
    /// The revealed logical parent branch.
    parent: ProofV2TargetParent,
}

/// An arena-based parallel sparse trie.
///
/// Configuration for controlling when parallelism is enabled in [`ArenaParallelSparseTrie`]
/// operations.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub struct ArenaParallelismThresholds {
    /// Minimum number of dirty leaves in a subtrie before it is eligible for parallel hash
    /// computation. Subtries with fewer dirty leaves than this are hashed serially during
    /// [`ArenaParallelSparseTrie::update_subtrie_hashes`].
    pub min_dirty_leaves: u64,
    /// Minimum number of nodes to reveal in a subtrie before it is eligible for parallel
    /// reveal. Subtries with fewer nodes to reveal than this are revealed inline during the
    /// upper trie walk.
    pub min_revealed_nodes: usize,
    /// Minimum number of leaf updates targeting a subtrie before it is eligible for parallel
    /// update. Subtries with fewer updates than this are updated inline during the upper trie
    /// walk.
    pub min_updates: usize,
    /// Minimum number of revealed leaves in a subtrie before it is eligible for parallel
    /// pruning. Subtries with fewer leaves than this are pruned inline during the upper trie
    /// walk.
    pub min_leaves_for_prune: u64,
}

impl Default for ArenaParallelismThresholds {
    fn default() -> Self {
        Self {
            min_dirty_leaves: 64,
            min_revealed_nodes: 16,
            min_updates: 128,
            min_leaves_for_prune: 128,
        }
    }
}

/// An arena-based sparse trie whose subtries can be mutated in parallel.
///
/// ## Structure
///
/// Uses arena allocation (`NodeArena`) for node storage with direct index-based child
/// pointers, avoiding the per-node hashing overhead of a `HashMap`-based trie. The trie is split
/// into two tiers:
///
/// - **Upper trie** (`upper_arena`): Contains nodes whose path is shorter than
///   `UPPER_TRIE_MAX_DEPTH` nibbles. These are the root and its immediate children.
/// - **Lower subtries** (`ArenaSparseSubtrie`): Each child of an upper-trie branch at the depth
///   boundary becomes the root of its own subtrie, stored as an `ArenaSparseNode::Subtrie` child in
///   the upper arena. Each subtrie owns its own arena, enabling lock-free parallel mutation.
///
/// Node placement is determined by path length (not counting a branch's short key):
///
/// - Paths with **< `UPPER_TRIE_MAX_DEPTH`** nibbles live in `upper_arena`.
/// - Paths with **≥ `UPPER_TRIE_MAX_DEPTH`** nibbles live in a subtrie.
///
/// ## Node Revealing
///
/// Nodes are lazily revealed from proof data via [`SparseTrie::reveal_nodes`]. Each node is
/// placed into the upper arena or delegated to its subtrie based on path depth. Unrevealed
/// children are stored as blinded `BranchChild`s referencing their RLP encoding.
/// When multiple subtries have pending reveals, they are processed in parallel using rayon
/// (controlled by [`ArenaParallelismThresholds::min_revealed_nodes`]).
///
/// ## Leaf Operations
///
/// Leaf updates and removals are applied via [`SparseTrie::update_leaves`]. The method walks
/// the upper trie to route each update to the correct subtrie, then processes subtries in
/// parallel when the update count exceeds [`ArenaParallelismThresholds::min_updates`].
///
/// After updates, structural changes (branch collapse, subtrie unwrapping) are handled by
/// propagating dirty state back up through the upper trie.
///
/// ## Root Hash Calculation
///
/// Root hash computation follows a bottom-up approach:
///
/// 1. **[`SparseTrie::update_subtrie_hashes`]**: Takes dirty subtries from the upper arena and
///    hashes them in parallel (when dirty leaf count meets
///    [`ArenaParallelismThresholds::min_dirty_leaves`]), then walks the upper trie to restore
///    hashed subtries and inline-hash any remaining dirty nodes.
/// 2. **[`SparseTrie::root`]**: Calls `update_subtrie_hashes`, then RLP-encodes the full upper trie
///    depth-first to produce the root hash.
///
/// Each node tracks its state via `ArenaSparseNodeState` (`Revealed`, `Cached`, or `Dirty`)
/// so only modified subtrees are recomputed.
///
/// ## Pruning
///
/// [`SparseTrie::prune`] replaces nodes older than its epoch cutoff with
/// blinded `BranchChild` entries using their cached RLP, then compacts the
/// arenas. Subtries are pruned in parallel when their leaf count exceeds
/// [`ArenaParallelismThresholds::min_leaves_for_prune`].
#[derive(Debug, Clone)]
pub struct ArenaParallelSparseTrie {
    /// The arena allocating nodes in the upper trie.
    upper_arena: NodeArena,
    /// The root node of the upper trie.
    root: Index,
    /// Reusable buffers for traversal, RLP encoding, and update actions.
    buffers: ArenaTrieBuffers,
    /// Thresholds controlling when parallelism is enabled for different operations.
    parallelism_thresholds: ArenaParallelismThresholds,
}

impl ArenaParallelSparseTrie {
    /// Sets the thresholds that control when parallelism is used during operations.
    pub const fn with_parallelism_thresholds(
        mut self,
        thresholds: ArenaParallelismThresholds,
    ) -> Self {
        self.parallelism_thresholds = thresholds;
        self
    }

    /// Returns `true` if a node at the given path length should be placed in a subtrie rather
    /// than the upper arena.
    const fn should_be_subtrie(path_len: usize) -> bool {
        path_len == UPPER_TRIE_MAX_DEPTH
    }

    /// If the child at the cursor head should be a subtrie based on its depth, wraps it
    /// in [`ArenaSparseNode::Subtrie`].
    ///
    /// The child must be the cursor head and its parent the cursor's parent.
    fn maybe_wrap_in_subtrie(&mut self, child_idx: Index, child_path: &Nibbles) {
        if !Self::should_be_subtrie(child_path.len()) {
            return;
        }

        // Only branch and leaf nodes can become subtrie roots.
        if !matches!(
            self.upper_arena[child_idx],
            ArenaSparseNode::Branch(_) |
                ArenaSparseNode::Extension { .. } |
                ArenaSparseNode::Leaf { .. }
        ) {
            return;
        }

        trace!(target: TRACE_TARGET, ?child_path, "Wrapping child into subtrie");
        let mut subtrie = ArenaSparseSubtrie::new(self.buffers.updates.is_some());
        subtrie.path = *child_path;
        let mut root_node =
            mem::replace(&mut self.upper_arena[child_idx], ArenaSparseNode::TakenSubtrie);

        // Migrate any children from the upper arena into the subtrie arena.
        Self::migrate_children(&mut subtrie.arena, &mut self.upper_arena, &mut root_node);

        subtrie.arena[subtrie.root] = root_node;
        let (leaves, dirty) = Self::count_leaves_and_dirty(&subtrie.arena, subtrie.root);
        subtrie.num_leaves = leaves;
        subtrie.num_dirty_leaves = dirty;
        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        subtrie.debug_assert_counters();
        self.upper_arena[child_idx] = ArenaSparseNode::Subtrie(subtrie);
    }

    /// If the cursor head is a branch, wraps any revealed children that sit at
    /// the subtrie boundary depth (`UPPER_TRIE_MAX_DEPTH`). This is needed after
    /// structural changes like root-level splits or subtrie unwraps that can place
    /// non-subtrie nodes at the boundary depth.
    fn maybe_wrap_branch_children(&mut self, cursor: &ArenaCursor) {
        let head_idx = cursor.head().expect("cursor is non-empty").index;
        let head_path = cursor.head_path();

        let Some(branch_idx) = branch_idx(&self.upper_arena, head_idx) else { return };
        let short_key = self.upper_arena[head_idx].extension_key().copied();
        let b = self.upper_arena[branch_idx].branch_ref();
        let children: SmallVec<[_; 4]> = b
            .child_iter()
            .filter_map(|(nibble, child)| Some((nibble, child.revealed_index()?)))
            .collect();

        for (nibble, child_idx) in children {
            let mut child_path = head_path;
            if let Some(key) = short_key {
                child_path.extend(&key);
            }
            child_path.push_unchecked(nibble);
            self.maybe_wrap_in_subtrie(child_idx, &child_path);
        }
    }

    /// Checks whether the subtrie at the cursor head has become empty after updates.
    /// If the subtrie's root is [`ArenaSparseNode::EmptyRoot`] (all leaves were removed), the
    /// child slot is removed from the parent branch entirely, the subtrie is recycled, and
    /// if the parent is left with a single revealed child, it is collapsed via
    /// `collapse_branch`.
    ///
    /// The subtrie must be the cursor head and its parent the cursor's parent.
    /// Pops the subtrie entry (propagating leaf count deltas) before returning.
    #[instrument(
        level = "trace",
        target = TRACE_TARGET,
        skip_all,
        fields(subtrie_path = ?cursor.head_path()),
    )]
    fn maybe_unwrap_subtrie(&mut self, cursor: &mut ArenaCursor) {
        let subtrie_idx = cursor.head().expect("cursor is non-empty").index;

        let ArenaSparseNode::Subtrie(subtrie) = &self.upper_arena[subtrie_idx] else {
            return;
        };

        if !matches!(subtrie.arena[subtrie.root], ArenaSparseNode::EmptyRoot { .. }) {
            return;
        }

        let child_nibble =
            cursor.head_last_nibble().expect("subtrie path must have at least one nibble");
        let parent_idx = cursor.parent().expect("cursor has parent").index;

        // Pop the subtrie entry before mutating, so collapse_branch sees the parent as
        // the cursor head.
        cursor.pop(&mut self.upper_arena);

        self.recycle_subtrie_from_idx(subtrie_idx);

        trace!(target: TRACE_TARGET, "Unwrapping empty subtrie, removing child slot");
        let parent_branch = branch_data_mut(&mut self.upper_arena, parent_idx);
        let child_idx = BranchChildIdx::new(parent_branch.state_mask, child_nibble)
            .expect("child nibble not found in parent state_mask");

        parent_branch.children.remove(child_idx.get());
        parent_branch.unset_child_bit(child_nibble);
        // The branch structure changed (child removed), so any cached RLP is stale.
        parent_branch.state = parent_branch.state.to_dirty();

        self.maybe_collapse_or_remove_branch(cursor);
    }

    /// Merges buffered updates from a [`ArenaSparseNode::Subtrie`] and drops it.
    ///
    /// # Panics
    ///
    /// Panics if `node` is not a `Subtrie`.
    fn recycle_subtrie(&mut self, node: ArenaSparseNode) {
        let ArenaSparseNode::Subtrie(mut subtrie) = node else {
            unreachable!("recycle_subtrie called on non-Subtrie node")
        };
        Self::merge_subtrie_updates(&mut self.buffers.updates, &mut subtrie.buffers.updates);
    }

    /// Removes a [`ArenaSparseNode::Subtrie`] from the upper arena at `idx` and recycles it.
    fn recycle_subtrie_from_idx(&mut self, idx: Index) {
        let node = self.upper_arena.remove(idx).expect("subtrie exists in arena");
        self.recycle_subtrie(node);
    }

    /// Puts a subtrie that was taken for parallel processing back into its upper arena slot.
    ///
    /// The slot must still hold the [`ArenaSparseNode::TakenSubtrie`] placeholder: indices carry
    /// no generation, so a slot that was removed and handed out again would silently be
    /// overwritten.
    fn restore_taken_subtrie(&mut self, idx: Index, subtrie: Box<ArenaSparseSubtrie>) {
        debug_assert!(
            matches!(self.upper_arena[idx], ArenaSparseNode::TakenSubtrie),
            "taken subtrie slot {idx:?} was removed or reused before restoration",
        );
        self.upper_arena[idx] = ArenaSparseNode::Subtrie(subtrie);
    }

    /// Handles cascading structural changes on the branch at the cursor head after a child
    /// has been removed.
    ///
    /// Depending on the remaining child count:
    /// - **0 children**: the branch becomes `EmptyRoot` (if root) or is removed from its parent,
    ///   cascading upward.
    /// - **1 child**: collapses the branch into its sole child, unless that child is a
    ///   `TakenSubtrie` (deferred) or blinded. If the remaining child is an empty subtrie, it is
    ///   also removed, reducing to the 0-children case.
    /// - **2+ children**: nothing to do.
    fn maybe_collapse_or_remove_branch(&mut self, cursor: &mut ArenaCursor) {
        loop {
            let branch_node_idx = cursor.head().expect("cursor is non-empty").index;
            let branch_path = cursor.head_path();

            // Read-only phase: extract the count and remaining-child info we need before
            // mutating. All values here are Copy so the borrow is released.
            let Some(branch_child_idx) = branch_idx(&self.upper_arena, branch_node_idx) else {
                return;
            };
            let count = self.upper_arena[branch_child_idx].branch_ref().state_mask.count_bits();

            if count >= 2 {
                return;
            }

            if count == 0 {
                if branch_node_idx == self.root {
                    self.upper_arena[branch_node_idx] =
                        ArenaSparseNode::EmptyRoot { state: ArenaSparseNodeState::Dirty };
                    if branch_child_idx != branch_node_idx {
                        self.upper_arena.remove(branch_child_idx);
                    }
                    return;
                }
                // Remove the empty branch from its parent.
                let branch_nibble = branch_path.last().expect("non-root branch");
                cursor.pop(&mut self.upper_arena);
                self.upper_arena.remove(branch_node_idx);
                if branch_child_idx != branch_node_idx {
                    self.upper_arena.remove(branch_child_idx);
                }
                let parent_idx = cursor.head().expect("cursor is non-empty").index;
                let parent_branch = branch_data_mut(&mut self.upper_arena, parent_idx);
                let child_idx = BranchChildIdx::new(parent_branch.state_mask, branch_nibble)
                    .expect("child nibble not found in parent state_mask");
                parent_branch.children.remove(child_idx.get());
                parent_branch.unset_child_bit(branch_nibble);
                parent_branch.state = parent_branch.state.to_dirty();
                continue; // re-check the parent
            }

            // count == 1 — determine what kind of child remains.
            let (remaining_nibble, remaining_child_idx) = {
                let b = self.upper_arena[branch_child_idx].branch_ref();
                let nibble = b.state_mask.iter().next().expect("branch has at least one child");
                (nibble, b.children[0].revealed_index())
            };

            let Some(child_idx) = remaining_child_idx else {
                debug_assert!(false, "single remaining child is blinded — should have been caught by check_subtrie_collapse_needs_proof");
                return;
            };

            if matches!(self.upper_arena[child_idx], ArenaSparseNode::TakenSubtrie) {
                // Subtrie hasn't been restored yet; collapse is deferred to the
                // post-restore phase.
                return;
            }

            // Check if the remaining child is an empty subtrie that should also be removed.
            let is_empty_subtrie = matches!(
                &self.upper_arena[child_idx],
                ArenaSparseNode::Subtrie(s) if matches!(s.arena[s.root], ArenaSparseNode::EmptyRoot { .. })
            );

            if is_empty_subtrie {
                self.recycle_subtrie_from_idx(child_idx);
                let branch = branch_data_mut(&mut self.upper_arena, branch_node_idx);
                branch.children.remove(0);
                branch.unset_child_bit(remaining_nibble);
                branch.state = branch.state.to_dirty();
                continue; // now count == 0, will be handled next iteration
            }

            // Normal collapse: the remaining child is a Leaf, Branch, or non-empty Subtrie.
            Self::collapse_branch(
                &mut self.upper_arena,
                cursor,
                &mut self.root,
                &mut self.buffers.updates,
            );

            // After collapse, the remaining child (now at cursor head) may be a
            // Subtrie whose path was shortened by the collapsed branch's prefix. Since
            // should_be_subtrie requires path_len == UPPER_TRIE_MAX_DEPTH and the collapse
            // made the path shorter, the subtrie is no longer eligible — unwrap it.
            let child_idx = cursor.head().expect("cursor is non-empty").index;
            if let ArenaSparseNode::Subtrie(_) = &self.upper_arena[child_idx] {
                let ArenaSparseNode::Subtrie(mut subtrie) =
                    mem::replace(&mut self.upper_arena[child_idx], ArenaSparseNode::TakenSubtrie)
                else {
                    unreachable!()
                };
                Self::migrate_nodes(
                    &mut self.upper_arena,
                    &mut subtrie.arena,
                    subtrie.root,
                    Some(child_idx),
                );
                Self::merge_subtrie_updates(
                    &mut self.buffers.updates,
                    &mut subtrie.buffers.updates,
                );

                // The migrated subtrie root may be a branch whose children now live in
                // the upper arena at or beyond the subtrie boundary depth. Re-wrap any
                // such children as subtries.
                self.maybe_wrap_branch_children(cursor);
            }
            return;
        }
    }

    /// Merges updates from a subtrie's buffer into the parent's buffer.
    /// Both `dst` and `src` must be `Some` when updates are being tracked.
    ///
    /// Source removals cancel destination insertions (and vice versa) so that
    /// updates accumulated across multiple `root()` calls within a single block
    /// stay consistent.
    fn merge_subtrie_updates(
        dst: &mut Option<SparseTrieUpdates>,
        src: &mut Option<SparseTrieUpdates>,
    ) {
        if let Some(dst_updates) = dst.as_mut() {
            let src_updates = src.as_mut().expect("updates are enabled");

            // Source insertions cancel destination removals.
            for path in src_updates.updated_nodes.keys() {
                dst_updates.removed_nodes.remove(path);
            }
            dst_updates.updated_nodes.extend(src_updates.updated_nodes.drain());

            // Source removals cancel destination insertions.
            for path in &src_updates.removed_nodes {
                dst_updates.updated_nodes.remove(path);
            }
            dst_updates.removed_nodes.extend(src_updates.removed_nodes.drain());
        }
    }

    /// Right-pads a nibble path with zeros and packs it into a [`B256`].
    fn nibbles_to_padded_b256(path: &Nibbles) -> B256 {
        let mut bytes = [0u8; 32];
        path.pack_to(&mut bytes);
        B256::from(bytes)
    }

    /// Returns the [`BranchNodeMasks`] for a branch based on the status of its children.
    fn get_branch_masks(arena: &NodeArena, branch: &ArenaSparseNodeBranch) -> BranchNodeMasks {
        let mut masks = BranchNodeMasks::default();

        for (nibble, child) in branch.child_iter() {
            let (hash_bit, tree_bit) = match child.revealed_index() {
                Some(child_idx) => {
                    let child = &arena[child_idx];
                    (child.hash_mask_bit(), node_tree_mask_bit(arena, child_idx))
                }
                None => (
                    branch.branch_masks.hash_mask.is_bit_set(nibble),
                    branch.branch_masks.tree_mask.is_bit_set(nibble),
                ),
            };

            masks.set_child_bits(nibble, hash_bit, tree_bit);
        }

        masks
    }

    /// Computes and caches `RlpNode` for all dirty nodes reachable from `root` in `arena`.
    ///
    /// Uses the cursor's stack to walk dirty branches depth-first. For each branch,
    /// children are iterated left-to-right:
    /// - Blinded, cached, leaf, and `EmptyRoot` children have their `RlpNode` pushed directly onto
    ///   `rlp_node_buf`.
    /// - Dirty branch children are pushed onto `stack` and processed recursively first.
    ///
    /// When a dirty branch child finishes and is popped, the parent resumes iteration after
    /// the child's nibble. Once all children of a branch are processed, the branch is encoded
    /// via `BranchNodeRef` using the last N entries on `rlp_node_buf`, then replaced with a
    /// single result `RlpNode`.
    #[instrument(level = "trace", target = TRACE_TARGET, skip_all, fields(base_path = ?base_path), ret)]
    fn update_cached_rlp(
        arena: &mut NodeArena,
        root: Index,
        base_path: Nibbles,
        buffers: &mut ArenaTrieBuffers,
        new_epoch: TrieNodeEpoch,
    ) -> RlpNode {
        let cursor = &mut buffers.cursor;
        let rlp_buf = &mut buffers.rlp_buf;
        let rlp_node_buf = &mut buffers.rlp_node_buf;
        let updates = &mut buffers.updates;

        rlp_node_buf.clear();

        // Step 1: Handle trivial roots that don't need the stack-based walk.
        // Empty roots and leaves are encoded in place. Already-cached branches need no work.
        // Only dirty branches enter the main loop below.
        match &arena[root] {
            ArenaSparseNode::EmptyRoot { state } => {
                let node_epoch = match state {
                    ArenaSparseNodeState::Cached { epoch, .. } => *epoch,
                    ArenaSparseNodeState::Revealed => TrieNodeEpoch::UNMODIFIED,
                    ArenaSparseNodeState::Dirty => new_epoch,
                };
                let rlp_node = RlpNode::word_rlp(&EMPTY_ROOT_HASH);
                *arena[root].state_mut() =
                    ArenaSparseNodeState::Cached { rlp_node: rlp_node.clone(), epoch: node_epoch };
                return rlp_node
            }
            ArenaSparseNode::Leaf { .. } => {
                Self::encode_leaf(arena, root, rlp_buf, rlp_node_buf, new_epoch);
                return rlp_node_buf.pop().expect("encode_leaf must push an RlpNode");
            }
            ArenaSparseNode::Branch(_) | ArenaSparseNode::Extension { .. } => {
                if let Some(ArenaSparseNodeState::Cached { rlp_node, .. }) =
                    node_state_ref(arena, root)
                {
                    let rlp_node = rlp_node.clone();
                    return rlp_node;
                }
            }
            ArenaSparseNode::Subtrie(_) | ArenaSparseNode::TakenSubtrie | ArenaSparseNode::Free => {
                unreachable!("Subtrie/TakenSubtrie/Free cannot be a subtrie's root");
            }
        }

        cursor.reset(arena, root, base_path);

        // Step 2: Walk dirty branches depth-first using `cursor.next`. Only dirty branches
        // are descended into; all other children (leaves, cached branches, blinded, subtries)
        // are encoded when their parent branch is popped.
        loop {
            let result = cursor.next(&mut *arena, |_, node| {
                matches!(node, ArenaSparseNode::Branch(b) if !matches!(b.state, ArenaSparseNodeState::Cached { .. })) ||
                    matches!(node, ArenaSparseNode::Extension { .. })
            });

            match result {
                NextResult::Done => break,
                NextResult::NonBranch => {
                    unreachable!("should_descend only returns true for dirty branches")
                }
                NextResult::Branch => {}
            };

            let head_idx = cursor.head().expect("cursor is non-empty").index;
            // Extensions are visited even when their backing branch is already cached.
            // Preserve its epoch, which may include changes to children that were removed.
            if matches!(node_state_ref(arena, head_idx), Some(ArenaSparseNodeState::Cached { .. }))
            {
                continue;
            }
            let head_path = cursor.head_path();

            // The branch at `head_idx` is exhausted. All its dirty child branches
            // have already been encoded and cached. Collect all children's RLP nodes
            // and encode the branch.
            trace!(
                target: TRACE_TARGET,
                branch_path = ?head_path,
                branch_short_key = ?arena[head_idx].extension_key(),
                state_mask = ?branch_data(arena, head_idx).state_mask,
                "Calculating branch RlpNode",
            );

            rlp_node_buf.clear();
            let mut node_epoch = TrieNodeEpoch::UNMODIFIED;
            let state_mask = branch_data(arena, head_idx).state_mask;
            for (dense_idx, _nibble) in BranchChildIter::new(state_mask) {
                let child = branch_data(arena, head_idx).children[dense_idx];
                match child.revealed_index() {
                    None => {
                        rlp_node_buf.push(arena.blinded(child).clone());
                    }
                    Some(child_idx) => {
                        match &arena[child_idx] {
                            ArenaSparseNode::Leaf { .. } => {
                                Self::encode_leaf(
                                    arena,
                                    child_idx,
                                    rlp_buf,
                                    rlp_node_buf,
                                    new_epoch,
                                );
                            }
                            ArenaSparseNode::Branch(child_b) => {
                                let ArenaSparseNodeState::Cached { rlp_node, .. } = &child_b.state
                                else {
                                    panic!("child branch must be cached after DFS");
                                };
                                let rlp_node = rlp_node.clone();
                                rlp_node_buf.push(rlp_node);
                            }
                            ArenaSparseNode::Extension { child, .. } => {
                                let Some(ArenaSparseNodeState::Cached { rlp_node, .. }) =
                                    arena[*child].state_ref()
                                else {
                                    panic!("extension branch child must be cached after DFS");
                                };
                                rlp_node_buf.push(rlp_node.clone());
                            }
                            ArenaSparseNode::Subtrie(subtrie) => {
                                let Some(ArenaSparseNodeState::Cached { rlp_node, .. }) =
                                    node_state_ref(&subtrie.arena, subtrie.root)
                                else {
                                    panic!("subtrie root must be cached");
                                };
                                rlp_node_buf.push(rlp_node.clone());
                            }
                            ArenaSparseNode::TakenSubtrie |
                            ArenaSparseNode::EmptyRoot { .. } |
                            ArenaSparseNode::Free => {
                                unreachable!("Unexpected child {:?}", arena[child_idx]);
                            }
                        }
                        let Some(ArenaSparseNodeState::Cached { epoch: child_epoch, .. }) =
                            node_state_ref(arena, child_idx)
                        else {
                            panic!("revealed child must be cached after encoding");
                        };
                        node_epoch = node_epoch.max(*child_epoch);
                    }
                }
            }

            // Encode the branch, optionally wrapping in its parent extension.
            let b = branch_data(arena, head_idx);
            let short_key = arena[head_idx].extension_key().copied().unwrap_or_default();
            let state_mask = b.state_mask;
            let prev_branch_masks = b.branch_masks;
            let new_branch_masks = Self::get_branch_masks(arena, b);
            let was_dirty = matches!(b.state, ArenaSparseNodeState::Dirty);
            if was_dirty {
                node_epoch = node_epoch.max(new_epoch);
            }

            rlp_buf.clear();
            let rlp_node = BranchNodeRef::new(rlp_node_buf, state_mask).rlp(rlp_buf);

            let rlp_node = if short_key.is_empty() {
                rlp_node
            } else {
                rlp_buf.clear();
                ExtensionNodeRef::new(&short_key, &rlp_node).rlp(rlp_buf)
            };

            trace!(
                target: TRACE_TARGET,
                path = ?head_path,
                short_key = ?arena[head_idx].short_key(),
                children = ?state_mask.iter().zip(rlp_node_buf.iter()).collect::<Vec<_>>(),
                rlp_node = ?rlp_node,
                "Calculated branch RlpNode",
            );

            let branch = branch_data_mut(arena, head_idx);
            branch.state = ArenaSparseNodeState::Cached { rlp_node, epoch: node_epoch };
            branch.branch_masks = new_branch_masks;

            // Record trie updates for dirty branches only.
            // Skip the root node (empty logical path) as PST does.
            if let Some(trie_updates) = updates.as_mut().filter(|_| was_dirty) {
                let mut logical_path = head_path;
                logical_path.extend(&short_key);

                if !logical_path.is_empty() {
                    if !prev_branch_masks.is_empty() && new_branch_masks.is_empty() {
                        trie_updates.updated_nodes.remove(&logical_path);
                        trie_updates.removed_nodes.insert(logical_path);
                    } else if !new_branch_masks.is_empty() {
                        let compact = branch_data(arena, head_idx).branch_node_compact(arena);
                        trie_updates.updated_nodes.insert(logical_path, compact);
                        trie_updates.removed_nodes.remove(&logical_path);
                    }
                }
            }
        }

        let Some(ArenaSparseNodeState::Cached { rlp_node, .. }) = node_state_ref(arena, root)
        else {
            panic!("root must be cached after update_cached_rlp");
        };
        rlp_node.clone()
    }

    /// Immutable traversal to find a leaf value at `full_path` starting from `root` in `arena`.
    /// `path_offset` is the number of nibbles already consumed from `full_path`.
    fn get_leaf_value_in_arena<'a>(
        arena: &'a NodeArena,
        mut current: Index,
        full_path: &Nibbles,
        mut path_offset: usize,
    ) -> Option<&'a Vec<u8>> {
        loop {
            match &arena[current] {
                ArenaSparseNode::EmptyRoot { .. } |
                ArenaSparseNode::TakenSubtrie |
                ArenaSparseNode::Free => return None,
                ArenaSparseNode::Leaf { key, value, .. } => {
                    let remaining = full_path.slice_unchecked(path_offset, full_path.len());
                    return (remaining == *key).then_some(value);
                }
                ArenaSparseNode::Extension { key, child } => {
                    let logical_end = path_offset + key.len();
                    if full_path.len() <= logical_end ||
                        full_path.slice_unchecked(path_offset, logical_end) != *key
                    {
                        return None;
                    }
                    current = *child;
                    path_offset = logical_end;
                }
                ArenaSparseNode::Branch(b) => {
                    if full_path.len() <= path_offset {
                        return None;
                    }

                    let child_nibble = full_path.get_unchecked(path_offset);
                    let child_idx = BranchChildIdx::new(b.state_mask, child_nibble)?;
                    current = b.children[child_idx].revealed_index()?;
                    path_offset += 1;
                }
                ArenaSparseNode::Subtrie(subtrie) => {
                    return Self::get_leaf_value_in_arena(
                        &subtrie.arena,
                        subtrie.root,
                        full_path,
                        path_offset,
                    );
                }
            }
        }
    }

    /// Immutable traversal from the given root in `arena`, following `full_path` to find a leaf.
    /// Returns whether the leaf exists or not, or an error if a blinded node is encountered or
    /// the value doesn't match.
    fn find_leaf_in_arena(
        arena: &NodeArena,
        mut current: Index,
        full_path: &Nibbles,
        mut path_offset: usize,
        expected_value: Option<&Vec<u8>>,
    ) -> Result<LeafLookup, LeafLookupError> {
        loop {
            match &arena[current] {
                ArenaSparseNode::EmptyRoot { .. } |
                ArenaSparseNode::TakenSubtrie |
                ArenaSparseNode::Free => {
                    return Ok(LeafLookup::NonExistent);
                }
                ArenaSparseNode::Leaf { key, value, .. } => {
                    let remaining = full_path.slice(path_offset..);
                    if remaining != *key {
                        return Ok(LeafLookup::NonExistent);
                    }
                    if let Some(expected) = expected_value &&
                        *expected != *value
                    {
                        return Err(LeafLookupError::ValueMismatch {
                            path: *full_path,
                            expected: Some(expected.clone()),
                            actual: value.clone(),
                        });
                    }
                    return Ok(LeafLookup::Exists);
                }
                ArenaSparseNode::Extension { key, child } => {
                    let logical_end = path_offset + key.len();
                    if full_path.len() <= logical_end ||
                        full_path.slice(path_offset..logical_end) != *key
                    {
                        return Ok(LeafLookup::NonExistent);
                    }
                    current = *child;
                    path_offset = logical_end;
                }
                ArenaSparseNode::Branch(b) => {
                    if full_path.len() <= path_offset {
                        return Ok(LeafLookup::NonExistent);
                    }

                    let child_nibble = full_path.get_unchecked(path_offset);
                    let Some(child_idx) = BranchChildIdx::new(b.state_mask, child_nibble) else {
                        return Ok(LeafLookup::NonExistent);
                    };

                    let child = b.children[child_idx];
                    match child.revealed_index() {
                        None => {
                            let rlp_node = arena.blinded(child);
                            let hash = rlp_node
                                .as_hash()
                                .unwrap_or_else(|| keccak256(rlp_node.as_slice()));
                            let mut blinded_path = full_path.slice(..path_offset);
                            blinded_path.push_unchecked(child_nibble);
                            return Err(LeafLookupError::BlindedNode { path: blinded_path, hash });
                        }
                        Some(child_idx) => {
                            current = child_idx;
                            path_offset += 1;
                        }
                    }
                }
                ArenaSparseNode::Subtrie(subtrie) => {
                    return Self::find_leaf_in_arena(
                        &subtrie.arena,
                        subtrie.root,
                        full_path,
                        path_offset,
                        expected_value,
                    );
                }
            }
        }
    }

    /// Encodes a leaf node's RLP and pushes it onto `rlp_node_buf`.
    ///
    /// If the leaf is already cached, its existing `RlpNode` is reused.
    fn encode_leaf(
        arena: &mut NodeArena,
        idx: Index,
        rlp_buf: &mut Vec<u8>,
        rlp_node_buf: &mut Vec<RlpNode>,
        new_epoch: TrieNodeEpoch,
    ) {
        let (key, value, state) = match &arena[idx] {
            ArenaSparseNode::Leaf { key, value, state } => (key, value, state),
            _ => unreachable!("encode_leaf called on non-Leaf node"),
        };

        let epoch = match state {
            ArenaSparseNodeState::Cached { rlp_node, .. } => {
                rlp_node_buf.push(rlp_node.clone());
                return;
            }
            ArenaSparseNodeState::Revealed => TrieNodeEpoch::UNMODIFIED,
            ArenaSparseNodeState::Dirty => new_epoch,
        };

        rlp_buf.clear();
        let rlp_node = LeafNodeRef { key, value }.rlp(rlp_buf);

        *arena[idx].state_mut() =
            ArenaSparseNodeState::Cached { rlp_node: rlp_node.clone(), epoch };
        rlp_node_buf.push(rlp_node);
    }

    /// Creates a new leaf and a new branch that splits an existing child from the new leaf at
    /// a divergence point. Returns the index of the new branch.
    ///
    /// `new_leaf_path` is the full remaining path for the new leaf (relative to the split
    /// point's parent).
    ///
    /// The old child's key (leaf) or extension key is truncated to the suffix after the
    /// divergence nibble and its state is set to dirty.
    ///
    /// The top of `stack` must be the leaf or branch being split. The top of stack will be the
    /// newly created branch once this returns.
    /// Returns `true` if the existing node was not already dirty (i.e., the split newly dirtied
    /// it).
    fn split_and_insert_leaf(
        arena: &mut NodeArena,
        cursor: &mut ArenaCursor,
        root: &mut Index,
        new_leaf_path: Nibbles,
        value: &[u8],
    ) -> bool {
        let old_child_idx = cursor.head().expect("cursor must have head").index;
        let old_child_short_key = arena[old_child_idx].short_key().expect("top of stack is a leaf");
        let diverge_len = new_leaf_path.common_prefix_length(old_child_short_key);

        trace!(
            target: TRACE_TARGET,
            path = ?cursor.head_path(),
            ?new_leaf_path,
            ?old_child_short_key,
            diverge_len,
            "Splitting node and inserting new leaf",
        );

        let old_child_nibble = old_child_short_key.get_unchecked(diverge_len);
        let old_child_suffix = old_child_short_key.slice(diverge_len + 1..);

        // Truncate the old child's key/extension key and mark it dirty.
        // Track whether the existing node was not already dirty (a leaf that becomes newly dirty).
        let old_child = mem::replace(&mut arena[old_child_idx], ArenaSparseNode::TakenSubtrie);
        let newly_dirtied_existing = match old_child {
            ArenaSparseNode::Leaf { value, state, .. } => {
                let was_clean = !matches!(state, ArenaSparseNodeState::Dirty);
                arena[old_child_idx] = ArenaSparseNode::Leaf {
                    key: old_child_suffix,
                    value,
                    state: ArenaSparseNodeState::Dirty,
                };
                was_clean
            }
            ArenaSparseNode::Extension { child, .. } => {
                if old_child_suffix.is_empty() {
                    let branch = arena.remove(child).expect("extension child exists");
                    arena[old_child_idx] = branch;
                    *arena[old_child_idx].state_mut() = ArenaSparseNodeState::Dirty;
                } else {
                    arena[old_child_idx] =
                        ArenaSparseNode::Extension { key: old_child_suffix, child };
                    *arena[child].state_mut() = ArenaSparseNodeState::Dirty;
                }
                // Branches don't contribute to num_dirty_leaves.
                false
            }
            _ => unreachable!("split_and_insert_leaf called on non-Leaf/Extension node"),
        };

        let short_key = new_leaf_path.slice(..diverge_len);
        let new_leaf_nibble = new_leaf_path.get_unchecked(diverge_len);
        debug_assert_ne!(old_child_nibble, new_leaf_nibble);

        let new_leaf_idx = arena.insert(ArenaSparseNode::Leaf {
            state: ArenaSparseNodeState::Dirty,
            key: new_leaf_path.slice(diverge_len + 1..),
            value: value.to_vec(),
        });

        let (first_nibble, first_child, second_nibble, second_child) =
            if old_child_nibble < new_leaf_nibble {
                (old_child_nibble, old_child_idx, new_leaf_nibble, new_leaf_idx)
            } else {
                (new_leaf_nibble, new_leaf_idx, old_child_nibble, old_child_idx)
            };

        let state_mask = TrieMask::from_nibble(first_nibble) | TrieMask::from_nibble(second_nibble);
        let mut children = SmallVec::new();
        children.push(BranchChild::revealed(first_child));
        children.push(BranchChild::revealed(second_child));

        let branch_child_idx = arena.insert(ArenaSparseNode::Branch(ArenaSparseNodeBranch {
            state: ArenaSparseNodeState::Dirty,
            children,
            state_mask,
            branch_masks: BranchNodeMasks::default(),
        }));
        let new_branch_idx = if short_key.is_empty() {
            branch_child_idx
        } else {
            arena.insert(ArenaSparseNode::Extension { key: short_key, child: branch_child_idx })
        };

        cursor.replace_head_index(arena, root, new_branch_idx);
        newly_dirtied_existing
    }

    /// Performs a leaf upsert using a pre-computed [`SeekResult`] from
    /// [`ArenaCursor::seek`].
    ///
    /// Handles three cases based on `find_result`:
    /// 1. `RevealedLeaf` — the cursor head is a leaf; update in place or split into a branch.
    /// 2. Diverged — the path diverges within an extension key, split it.
    /// 3. `NoChild` — the target nibble has no child, insert a new leaf.
    ///
    /// The caller must handle [`SeekResult::Blinded`] and
    /// [`SeekResult::RevealedSubtrie`] before calling this function.
    /// The cursor must be non-empty when called.
    ///
    /// Returns an [`UpsertLeafResult`] and [`SubtrieCounterDeltas`] so the caller can maintain
    /// aggregate counters and decide whether to wrap the result as a subtrie.
    #[instrument(level = "trace", target = TRACE_TARGET, skip_all, fields(full_path = ?full_path))]
    fn upsert_leaf(
        arena: &mut NodeArena,
        cursor: &mut ArenaCursor,
        root: &mut Index,
        full_path: &Nibbles,
        value: &[u8],
        find_result: SeekResult,
    ) -> (UpsertLeafResult, SubtrieCounterDeltas) {
        trace!(target: TRACE_TARGET, ?find_result, "Upserting leaf");
        let head = cursor.head().expect("cursor is non-empty");

        match find_result {
            SeekResult::Blinded => {
                unreachable!("Blinded case must be handled by caller")
            }
            SeekResult::EmptyRoot => {
                let head_idx = head.index;
                arena[head_idx] = ArenaSparseNode::Leaf {
                    state: ArenaSparseNodeState::Dirty,
                    key: full_path.slice(cursor.head_path_len()..),
                    value: value.to_vec(),
                };
                (
                    UpsertLeafResult::NewLeaf,
                    SubtrieCounterDeltas { num_leaves_delta: 1, num_dirty_leaves_delta: 1 },
                )
            }
            SeekResult::RevealedLeaf => {
                // RevealedLeaf guarantees the leaf's full path matches the target exactly.
                let head_idx = head.index;
                let was_clean =
                    if let ArenaSparseNode::Leaf { value: v, state, .. } = &mut arena[head_idx] {
                        v.clear();
                        v.extend_from_slice(value);
                        let was_clean = !matches!(state, ArenaSparseNodeState::Dirty);
                        *state = ArenaSparseNodeState::Dirty;
                        was_clean
                    } else {
                        unreachable!("RevealedLeaf but cursor head is not a leaf")
                    };
                (
                    UpsertLeafResult::Updated,
                    SubtrieCounterDeltas {
                        num_leaves_delta: 0,
                        num_dirty_leaves_delta: was_clean as i64,
                    },
                )
            }
            SeekResult::Diverged => {
                let full_path_from_head = full_path.slice(cursor.head_path_len()..);

                let split_dirtied_existing =
                    Self::split_and_insert_leaf(arena, cursor, root, full_path_from_head, value);

                let result = if cursor.depth() >= 1 {
                    UpsertLeafResult::NewChild
                } else {
                    UpsertLeafResult::NewLeaf
                };
                (
                    result,
                    SubtrieCounterDeltas {
                        num_leaves_delta: 1,
                        num_dirty_leaves_delta: 1 + split_dirtied_existing as i64,
                    },
                )
            }
            SeekResult::NoChild { child_nibble } => {
                let head_idx = head.index;

                let leaf_key = full_path.slice(cursor.head_logical_branch_path_len(arena) + 1..);
                let new_leaf = arena.insert(ArenaSparseNode::Leaf {
                    state: ArenaSparseNodeState::Dirty,
                    key: leaf_key,
                    value: value.to_vec(),
                });

                let branch = branch_data_mut(arena, head_idx);
                branch.set_child(child_nibble, BranchChild::revealed(new_leaf));

                // Re-seek to position the cursor on the newly inserted leaf.
                cursor.seek(arena, full_path);

                (
                    UpsertLeafResult::NewChild,
                    SubtrieCounterDeltas { num_leaves_delta: 1, num_dirty_leaves_delta: 1 },
                )
            }
            SeekResult::RevealedSubtrie => {
                unreachable!("RevealedSubtrie must be handled by caller")
            }
        }
    }

    /// Removes a leaf node from the trie using a pre-computed [`SeekResult`] from
    /// [`ArenaCursor::seek`].
    ///
    /// Only the `RevealedLeaf` case performs a removal — the leaf must exist and its full path
    /// must match `full_path`. All other cases (`Diverged`, `NoChild`) are no-ops since the leaf
    /// doesn't exist at that path.
    ///
    /// When removing a leaf from a branch, if the branch is left with only one remaining child,
    /// the branch is collapsed: the remaining child absorbs the extension key and child's nibble
    /// as a prefix to its own key or extension key, and replaces the branch in the parent.
    /// If the remaining child is blinded, the collapse cannot proceed and a
    /// [`RemoveLeafResult::NeedsProof`] is returned so the caller can request a proof.
    ///
    /// The caller must handle [`SeekResult::Blinded`] and
    /// [`SeekResult::RevealedSubtrie`] before calling this function.
    fn remove_leaf(
        arena: &mut NodeArena,
        cursor: &mut ArenaCursor,
        root: &mut Index,
        key: B256,
        full_path: &Nibbles,
        find_result: SeekResult,
        updates: &mut Option<SparseTrieUpdates>,
    ) -> (RemoveLeafResult, SubtrieCounterDeltas) {
        match find_result {
            SeekResult::Blinded | SeekResult::RevealedSubtrie => {
                unreachable!("Blinded/RevealedSubtrie must be handled by caller")
            }
            SeekResult::EmptyRoot | SeekResult::Diverged | SeekResult::NoChild { .. } => {
                (RemoveLeafResult::NotFound, SubtrieCounterDeltas::default())
            }
            SeekResult::RevealedLeaf => {
                // RevealedLeaf guarantees the leaf's full path matches the target exactly.
                let head_idx = cursor.head().expect("cursor is non-empty").index;
                let head_path = cursor.head_path();

                trace!(
                    target: TRACE_TARGET,
                    path = ?head_path,
                    ?full_path,
                    "Removing leaf",
                );

                // Before mutating, check if removing this leaf would leave the parent
                // branch with a single blinded sibling (requiring a proof to collapse).
                if let Some(parent_entry) = cursor.parent() {
                    let parent_idx = parent_entry.index;
                    let child_nibble = head_path.last().expect("non-root leaf");
                    let parent_branch = branch_data(arena, parent_idx);

                    if parent_branch.state_mask.count_bits() == 2 &&
                        parent_branch.sibling_child(child_nibble).is_blinded()
                    {
                        let sibling_nibble = parent_branch
                            .state_mask
                            .iter()
                            .find(|&n| n != child_nibble)
                            .expect("branch has two children");
                        let mut sibling_path = cursor.parent_logical_branch_path(arena);
                        sibling_path.push_unchecked(sibling_nibble);
                        trace!(target: TRACE_TARGET, ?full_path, ?sibling_path, "Removal would collapse branch onto blinded sibling, requesting proof");
                        return (
                            RemoveLeafResult::NeedsProof {
                                key,
                                proof_key: Self::nibbles_to_padded_b256(&sibling_path),
                                parent: ProofV2TargetParent::new(
                                    sibling_path
                                        .len()
                                        .checked_sub(1)
                                        .expect("sibling path has a child nibble"),
                                ),
                            },
                            SubtrieCounterDeltas::default(),
                        );
                    }
                }

                // Check if the removed leaf was dirty before removing it.
                let removed_was_dirty =
                    matches!(arena[head_idx].state_ref(), Some(ArenaSparseNodeState::Dirty));

                if cursor.depth() == 0 {
                    // The leaf is the root — replace with EmptyRoot and reset the cursor
                    // so subsequent iterations can call seek normally.
                    arena.remove(head_idx);
                    *root = arena
                        .insert(ArenaSparseNode::EmptyRoot { state: ArenaSparseNodeState::Dirty });
                    cursor.reset(arena, *root, head_path);
                    return (
                        RemoveLeafResult::Removed,
                        SubtrieCounterDeltas {
                            num_leaves_delta: -1,
                            num_dirty_leaves_delta: -(removed_was_dirty as i64),
                        },
                    );
                }

                // Pop the leaf entry, propagating dirty state to the parent.
                cursor.pop(arena);

                // The parent must be a branch. Remove the leaf from it.
                let parent_entry = cursor.head().expect("cursor is non-empty");
                let parent_idx = parent_entry.index;
                let child_nibble = head_path.last().expect("non-root leaf");

                // Remove the leaf from the arena and from the parent's children.
                arena.remove(head_idx);
                let parent_branch = branch_data_mut(arena, parent_idx);
                parent_branch.remove_child(child_nibble);

                // If the branch now has only one child, collapse it. The blinded sibling
                // case was already handled above before any mutations.
                let collapse_dirtied_leaf = if parent_branch.state_mask.count_bits() == 1 {
                    Self::collapse_branch(arena, cursor, root, updates)
                } else {
                    false
                };
                (
                    RemoveLeafResult::Removed,
                    SubtrieCounterDeltas {
                        num_leaves_delta: -1,
                        num_dirty_leaves_delta: (collapse_dirtied_leaf as i64) -
                            (removed_was_dirty as i64),
                    },
                )
            }
        }
    }

    /// Checks whether a subtrie receiving only removals would cause its parent branch to collapse
    /// onto a single blinded sibling. If so, returns the proof needed to reveal that blinded
    /// sibling so the caller can request it and skip the subtrie's updates.
    ///
    /// Returns `Some(proof)` for the blinded sibling when the edge-case applies, `None` otherwise.
    fn check_subtrie_collapse_needs_proof(
        arena: &NodeArena,
        cursor: &ArenaCursor,
        subtrie_updates: &[(B256, Nibbles, LeafUpdate)],
    ) -> Option<ArenaRequiredProof> {
        let num_removals = subtrie_updates
            .iter()
            .filter(|(_, _, u)| matches!(u, LeafUpdate::Changed(v) if v.is_empty()))
            .count() as u64;

        // Touched is a no-op that doesn't alter trie structure, so it must be
        // excluded when deciding whether "all updates are removals". This mirrors
        // the `all_removals` / `might_empty_subtrie` filter in `update_leaves`.
        // Without this, a batch of removals + Touched entries
        // would fail the `num_removals != num_changed` check, skip the proof
        // request for the blinded sibling, and later panic in
        // `maybe_collapse_or_remove_branch` when the subtrie empties inline.
        let num_changed = subtrie_updates.iter().filter(|(_, _, u)| u.is_changed()).count() as u64;

        if num_removals == 0 || num_removals != num_changed {
            return None;
        }

        // The subtrie is the cursor head; its parent is the cursor's parent.
        let subtrie_entry = cursor.head()?;
        let subtrie_num_leaves = match &arena[subtrie_entry.index] {
            ArenaSparseNode::Subtrie(s) => s.num_leaves,
            _ => return None,
        };
        if num_removals < subtrie_num_leaves {
            return None;
        }

        let child_nibble =
            cursor.head_last_nibble().expect("subtrie path must have at least one nibble");

        let parent_entry = cursor.parent()?;
        let parent_branch = branch_data(arena, parent_entry.index);
        if parent_branch.state_mask.count_bits() != 2 {
            return None;
        }

        if !parent_branch.sibling_child(child_nibble).is_blinded() {
            return None;
        }

        let sibling_nibble = parent_branch
            .state_mask
            .iter()
            .find(|&n| n != child_nibble)
            .expect("branch has two children");
        let mut sibling_path = cursor.parent_logical_branch_path(arena);
        sibling_path.push_unchecked(sibling_nibble);

        Some(ArenaRequiredProof {
            key: Self::nibbles_to_padded_b256(&sibling_path),
            parent: ProofV2TargetParent::new(
                sibling_path.len().checked_sub(1).expect("sibling path has a child nibble"),
            ),
        })
    }

    /// Collapses a branch node that has exactly one remaining revealed child. The branch's
    /// extension key, the remaining child's nibble, and the child's own key or extension key are
    /// concatenated to form the child's new key or extension key. The child then replaces the
    /// branch in the grandparent (or becomes the new root).
    ///
    /// The caller must verify that the remaining child is not blinded before calling this function.
    ///
    /// The branch being collapsed must be the current cursor head. The cursor head will be
    /// replaced with the remaining child which has taken its place.
    /// Returns `true` if the collapse dirtied a surviving leaf that was not already dirty.
    fn collapse_branch(
        arena: &mut NodeArena,
        cursor: &mut ArenaCursor,
        root: &mut Index,
        updates: &mut Option<SparseTrieUpdates>,
    ) -> bool {
        let branch_node_idx = cursor.head().expect("cursor is non-empty").index;
        let branch_child_idx = branch_idx(arena, branch_node_idx).expect("cursor head is a branch");
        let branch_path = cursor.head_path();
        let branch = arena[branch_child_idx].branch_ref();
        let remaining_nibble =
            branch.state_mask.iter().next().expect("branch has at least one child");
        let branch_short_key = arena[branch_node_idx].extension_key().copied().unwrap_or_default();

        debug_assert_eq!(
            branch.state_mask.count_bits(),
            1,
            "collapse_branch requires exactly 1 child"
        );
        debug_assert!(
            !branch.children[0].is_blinded(),
            "collapse_branch called with a blinded remaining child"
        );

        trace!(
            target: TRACE_TARGET,
            path = ?branch_path,
            short_key = ?branch_short_key,
            branch_masks = ?branch.branch_masks,
            ?remaining_nibble,
            "Collapsing single-child branch",
        );

        // Record the collapsed branch's logical path for trie update tracking if it
        // was previously persisted in the DB trie.
        if let Some(trie_updates) = updates.as_mut() &&
            !branch.branch_masks.is_empty()
        {
            let logical_path = cursor.head_logical_branch_path(arena);
            if !logical_path.is_empty() {
                trie_updates.updated_nodes.remove(&logical_path);
                trie_updates.removed_nodes.insert(logical_path);
            }
        }

        // Build the prefix: extension key + remaining child's nibble.
        let mut prefix = branch_short_key;
        prefix.push_unchecked(remaining_nibble);

        let child_idx = branch.children[0].revealed_index().expect("remaining child is revealed");

        // Prepend the prefix to the child's key or extension key and mark dirty.
        // Track whether a leaf was newly dirtied by this collapse.
        let child = mem::replace(&mut arena[child_idx], ArenaSparseNode::TakenSubtrie);
        let (replacement_idx, newly_dirtied_leaf) = match child {
            ArenaSparseNode::Leaf { key, value, state } => {
                let mut new_key = prefix;
                new_key.extend(&key);
                let was_clean = !matches!(state, ArenaSparseNodeState::Dirty);
                arena[child_idx] = ArenaSparseNode::Leaf {
                    key: new_key,
                    state: ArenaSparseNodeState::Dirty,
                    value,
                };
                (child_idx, was_clean)
            }
            ArenaSparseNode::Extension { key, child } => {
                let mut new_key = prefix;
                new_key.extend(&key);
                arena[child_idx] = ArenaSparseNode::Extension { key: new_key, child };
                *arena[child].state_mut() = ArenaSparseNodeState::Dirty;
                (child_idx, false)
            }
            ArenaSparseNode::Branch(branch) => {
                let new_branch_idx = arena.insert(ArenaSparseNode::Branch(branch));
                *arena[new_branch_idx].state_mut() = ArenaSparseNodeState::Dirty;
                arena[child_idx] =
                    ArenaSparseNode::Extension { key: prefix, child: new_branch_idx };
                (child_idx, false)
            }
            ArenaSparseNode::Subtrie(mut subtrie) => {
                subtrie.path = branch_path;
                let root = subtrie.root;
                let root_node =
                    mem::replace(&mut subtrie.arena[root], ArenaSparseNode::TakenSubtrie);
                match root_node {
                    ArenaSparseNode::Branch(branch) => {
                        let child = subtrie.arena.insert(ArenaSparseNode::Branch(branch));
                        subtrie.arena[root] = ArenaSparseNode::Extension { key: prefix, child };
                        *subtrie.arena[child].state_mut() = ArenaSparseNodeState::Dirty;
                    }
                    ArenaSparseNode::Extension { key, child } => {
                        let mut new_key = prefix;
                        new_key.extend(&key);
                        subtrie.arena[root] = ArenaSparseNode::Extension { key: new_key, child };
                        *subtrie.arena[child].state_mut() = ArenaSparseNodeState::Dirty;
                    }
                    ArenaSparseNode::Leaf { key, value, state } => {
                        let mut new_key = prefix;
                        new_key.extend(&key);
                        let was_clean = !matches!(state, ArenaSparseNodeState::Dirty);
                        subtrie.arena[root] = ArenaSparseNode::Leaf {
                            key: new_key,
                            value,
                            state: ArenaSparseNodeState::Dirty,
                        };
                        if was_clean {
                            subtrie.num_dirty_leaves += 1;
                        }
                    }
                    _ => {
                        unreachable!("subtrie root must be a Branch or Leaf during collapse_branch")
                    }
                }
                arena[child_idx] = ArenaSparseNode::Subtrie(subtrie);
                (child_idx, false)
            }
            _ => unreachable!("remaining child must be Leaf, Branch, Extension, or Subtrie"),
        };

        // Replace the branch with the remaining child in the grandparent (or root).
        cursor.replace_head_index(arena, root, replacement_idx);

        // Free the collapsed branch.
        arena.remove(branch_node_idx);
        if branch_node_idx != branch_child_idx {
            arena.remove(branch_child_idx);
        }
        newly_dirtied_leaf
    }

    /// Counts the total leaves and dirty leaves in a subtree rooted at `idx`.
    fn count_leaves_and_dirty(arena: &NodeArena, idx: Index) -> (u64, u64) {
        match &arena[idx] {
            ArenaSparseNode::Leaf { state, .. } => {
                let dirty = matches!(state, ArenaSparseNodeState::Dirty) as u64;
                (1, dirty)
            }
            ArenaSparseNode::Branch(b) => {
                let mut leaves = 0u64;
                let mut dirty = 0u64;
                for c in &b.children {
                    if let Some(child_idx) = c.revealed_index() {
                        let (l, d) = Self::count_leaves_and_dirty(arena, child_idx);
                        leaves += l;
                        dirty += d;
                    }
                }
                (leaves, dirty)
            }
            ArenaSparseNode::Extension { child, .. } => Self::count_leaves_and_dirty(arena, *child),
            _ => (0, 0),
        }
    }

    /// Asserts that every node in the upper arena satisfies the subtrie structure invariant:
    /// - Nodes at `UPPER_TRIE_MAX_DEPTH` path length must be `Subtrie` (or `TakenSubtrie`).
    /// - Nodes at other depths must NOT be `Subtrie`.
    ///
    /// Uses the cursor to DFS the upper arena, checking each visited node's path length.
    #[instrument(level = "trace", target = TRACE_TARGET, skip_all)]
    #[cfg(all(debug_assertions, not(feature = "fuzz")))]
    fn debug_assert_subtrie_structure(&mut self) {
        let mut cursor = mem::take(&mut self.buffers.cursor);
        cursor.reset(&self.upper_arena, self.root, Nibbles::default());

        loop {
            let result = cursor.next(&mut self.upper_arena, |_, _| true);
            match result {
                NextResult::Done => break,
                NextResult::NonBranch | NextResult::Branch => {
                    let path_len = cursor.head_path_len();
                    let node = &self.upper_arena[cursor.head().expect("cursor is non-empty").index];

                    if Self::should_be_subtrie(path_len) {
                        debug_assert!(
                            matches!(
                                node,
                                ArenaSparseNode::Subtrie(_) | ArenaSparseNode::TakenSubtrie
                            ),
                            "node at path_len={path_len} should be a Subtrie but is {node:?}",
                        );
                    } else {
                        debug_assert!(
                            !matches!(node, ArenaSparseNode::Subtrie(_)),
                            "node at path_len={path_len} should NOT be a Subtrie but is",
                        );
                    }
                }
            }
        }

        self.buffers.cursor = cursor;
    }

    /// Recursively migrates all nodes from `src` into `dst`, starting at `src_idx`.
    /// Branch children's `Revealed` indices are remapped to the new `dst` indices during
    /// the migration.
    ///
    /// If `dst_slot` is `Some(idx)`, the node at `src_idx` is placed into `dst[idx]`
    /// (overwriting); otherwise a new slot is allocated. Returns the `dst` index of the
    /// migrated node.
    fn migrate_nodes(
        dst: &mut NodeArena,
        src: &mut NodeArena,
        src_idx: Index,
        dst_slot: Option<Index>,
    ) -> Index {
        let mut node = src.remove(src_idx).expect("node exists in source arena");

        // Recursively migrate children first so their new indices are known.
        Self::migrate_children(dst, src, &mut node);

        if let Some(slot) = dst_slot {
            dst[slot] = node;
            slot
        } else {
            dst.insert(node)
        }
    }

    /// Moves a node's children from `src` to `dst`: revealed children are migrated recursively
    /// with [`Self::migrate_nodes`], blinded children have their RLP moved into `dst`'s side
    /// table. `node` must already be detached from `src`.
    fn migrate_children(dst: &mut NodeArena, src: &mut NodeArena, node: &mut ArenaSparseNode) {
        match node {
            ArenaSparseNode::Extension { child, .. } => {
                *child = Self::migrate_nodes(dst, src, *child, None);
            }
            ArenaSparseNode::Branch(branch) => {
                for child in &mut branch.children {
                    *child = match child.revealed_index() {
                        Some(child_idx) => {
                            BranchChild::revealed(Self::migrate_nodes(dst, src, child_idx, None))
                        }
                        None => dst.insert_blinded(src.take_blinded(*child)),
                    };
                }
            }
            _ => {}
        }
    }

    /// Removes a pruned node from the arena and blinds the parent's child slot with the node's
    /// cached RLP.
    fn remove_pruned_node(arena: &mut NodeArena, cursor: &mut ArenaCursor) -> ArenaSparseNode {
        // Entry paths are derived from the cursor's path, so read the head path before popping.
        let path = cursor.head_path();
        let idx = cursor.head().expect("cursor is non-empty").index;
        let rlp_node = node_state_ref(arena, idx)
            .and_then(ArenaSparseNodeState::cached_rlp_node)
            .cloned()
            .expect("prune must run after hashing");
        cursor.pop(arena);
        let node = arena.remove(idx).expect("node must exist to be pruned");
        if let Some(child) = node.extension_child() {
            arena.remove(child).expect("extension child exists");
        }
        trace!(
            target: TRACE_TARGET,
            ?path,
            variant = %AsRef::<str>::as_ref(&node),
            cached_rlp_node = ?rlp_node,
            "pruning node",
        );

        let parent_idx = cursor.head().expect("pruned child has parent").index;
        let child_nibble = path.last().expect("non-root child");
        let blinded = arena.insert_blinded(rlp_node);
        let parent_branch = branch_data_mut(arena, parent_idx);
        let child_idx = BranchChildIdx::new(parent_branch.state_mask, child_nibble)
            .expect("child nibble not found in parent state_mask");
        parent_branch.children[child_idx] = blinded;

        node
    }

    /// Reveals a single proof node using a pre-computed [`SeekResult`] from
    /// [`ArenaCursor::seek`].
    ///
    /// If the result is `Blinded`, the blinded child is replaced with the proof node (converted to
    /// an arena node with `Cached` state). All other cases (already revealed, no child, diverged,
    /// leaf head) are no-ops — the proof node is skipped.
    ///
    /// Returns the `Index` of the revealed node in the arena, if any was revealed.
    #[instrument(level = "trace", target = TRACE_TARGET, skip_all)]
    fn reveal_node(
        arena: &mut NodeArena,
        cursor: &ArenaCursor,
        node: &mut ProofTrieNodeV2,
        find_result: SeekResult,
    ) -> Option<Index> {
        let SeekResult::Blinded = find_result else {
            // Already revealed, no child slot, or diverged — skip this proof node.
            return None;
        };

        let head = cursor.head().expect("cursor is non-empty");
        let head_idx = head.index;
        let head_branch_logical_path = cursor.head_logical_branch_path(arena);

        debug_assert_eq!(
            node.path.len(),
            head_branch_logical_path.len() + 1,
            "proof node path {:?} is not a direct child of branch at {:?} (expected depth {})",
            node.path,
            head_branch_logical_path,
            head_branch_logical_path.len() + 1,
        );

        let child_nibble = node.path.get_unchecked(head_branch_logical_path.len());
        let head_branch = branch_data(arena, head_idx);
        let dense_child_idx = BranchChildIdx::new(head_branch.state_mask, child_nibble)
            .expect("Blinded result but child nibble not in state_mask");

        let child = head_branch.children[dense_child_idx];
        if !child.is_blinded() {
            return None;
        }
        let cached_rlp = arena.blinded(child).clone();

        trace!(
            target: TRACE_TARGET,
            path = ?node.path,
            rlp_node = ?cached_rlp,
            "Revealing node",
        );

        let proof_node = mem::replace(node, ProofTrieNodeV2::empty());
        let child_idx = Self::insert_proof_node(arena, proof_node);
        *node_state_mut(arena, child_idx) =
            ArenaSparseNodeState::Cached { rlp_node: cached_rlp, epoch: TrieNodeEpoch::UNMODIFIED };
        branch_data_mut(arena, head_idx).children[dense_child_idx] =
            BranchChild::revealed(child_idx);
        arena.take_blinded(child);

        Some(child_idx)
    }

    /// Inserts a proof node, splitting a combined `BranchNodeV2` into an extension and its branch
    /// child when its short key is non-empty.
    fn insert_proof_node(arena: &mut NodeArena, proof_node: ProofTrieNodeV2) -> Index {
        let ProofTrieNodeV2 { path, node, masks } = proof_node;
        let TrieNodeV2::Branch(branch) = node else {
            let node =
                ArenaSparseNode::from_proof_node(arena, ProofTrieNodeV2 { path, node, masks });
            return arena.insert(node);
        };

        let children = branch.stack[..branch.state_mask.count_bits() as usize]
            .iter()
            .map(|rlp| arena.insert_blinded(rlp.clone()))
            .collect();
        let child = arena.insert(ArenaSparseNode::Branch(ArenaSparseNodeBranch {
            state: ArenaSparseNodeState::Revealed,
            children,
            state_mask: branch.state_mask,
            branch_masks: masks.unwrap_or_default(),
        }));
        if branch.key.is_empty() {
            child
        } else {
            arena.insert(ArenaSparseNode::Extension { key: branch.key, child })
        }
    }

    #[cfg(all(debug_assertions, not(feature = "fuzz")))]
    fn collect_reachable_nodes(
        arena: &NodeArena,
        idx: Index,
        reachable: &mut alloy_primitives::map::HashSet<Index>,
    ) {
        if !reachable.insert(idx) {
            return;
        }
        match &arena[idx] {
            ArenaSparseNode::Extension { child, .. } => {
                Self::collect_reachable_nodes(arena, *child, reachable);
            }
            ArenaSparseNode::Branch(b) => {
                for child in &b.children {
                    if let Some(child_idx) = child.revealed_index() {
                        Self::collect_reachable_nodes(arena, child_idx, reachable);
                    }
                }
            }
            _ => {}
        }
    }

    #[cfg(all(debug_assertions, not(feature = "fuzz")))]
    fn assert_no_orphaned_nodes(arena: &NodeArena, root: Index, label: &str) {
        let mut reachable = alloy_primitives::map::HashSet::default();
        Self::collect_reachable_nodes(arena, root, &mut reachable);
        let all_indices: alloy_primitives::map::HashSet<Index> =
            arena.iter().map(|(idx, _)| idx).collect();
        let orphaned: Vec<_> = all_indices.difference(&reachable).collect();
        debug_assert!(
            orphaned.is_empty(),
            "{label} has {} orphaned node(s): {orphaned:?}",
            orphaned.len(),
        );
    }
}

#[cfg(all(debug_assertions, not(feature = "fuzz")))]
impl Drop for ArenaParallelSparseTrie {
    fn drop(&mut self) {
        Self::assert_no_orphaned_nodes(&self.upper_arena, self.root, "upper arena");

        for (_, node) in self.upper_arena.iter() {
            if let Some(subtrie) = node.as_subtrie() {
                Self::assert_no_orphaned_nodes(
                    &subtrie.arena,
                    subtrie.root,
                    &alloc::format!("subtrie {:?}", subtrie.path),
                );
            }
        }
    }
}

impl Default for ArenaParallelSparseTrie {
    fn default() -> Self {
        let mut upper_arena = NodeArena::new();
        let root = upper_arena
            .insert(ArenaSparseNode::EmptyRoot { state: ArenaSparseNodeState::Revealed });
        Self {
            upper_arena,
            root,
            buffers: ArenaTrieBuffers::default(),
            parallelism_thresholds: ArenaParallelismThresholds::default(),
        }
    }
}

impl ArenaParallelSparseTrie {
    /// Hashes a subtrie at `head_idx` and collects its update actions.
    fn update_upper_subtrie(&mut self, head_idx: Index, new_epoch: TrieNodeEpoch) {
        let ArenaSparseNode::Subtrie(subtrie) = &mut self.upper_arena[head_idx] else {
            unreachable!()
        };

        if !node_state_ref(&subtrie.arena, subtrie.root)
            .is_some_and(|state| matches!(state, ArenaSparseNodeState::Cached { .. }))
        {
            subtrie.update_cached_rlp(new_epoch);
        }

        Self::merge_subtrie_updates(&mut self.buffers.updates, &mut subtrie.buffers.updates);
    }
}

impl SparseTrie for ArenaParallelSparseTrie {
    #[instrument(level = "trace", target = TRACE_TARGET, skip_all)]
    fn set_root(
        &mut self,
        root: TrieNodeV2,
        masks: Option<BranchNodeMasks>,
        retain_updates: bool,
    ) -> SparseTrieResult<()> {
        debug_assert!(
            matches!(self.upper_arena[self.root], ArenaSparseNode::EmptyRoot { .. }),
            "set_root called on a trie that already has revealed nodes"
        );

        match root {
            TrieNodeV2::EmptyRoot => {
                trace!(target: TRACE_TARGET, "Setting empty root");
                self.upper_arena[self.root] =
                    ArenaSparseNode::EmptyRoot { state: ArenaSparseNodeState::Revealed };
            }
            TrieNodeV2::Leaf(leaf) => {
                trace!(target: TRACE_TARGET, key = ?leaf.key, "Setting leaf root");
                self.upper_arena[self.root] = ArenaSparseNode::Leaf {
                    state: ArenaSparseNodeState::Revealed,
                    key: leaf.key,
                    value: leaf.value,
                };
            }
            TrieNodeV2::Branch(branch) => {
                trace!(target: TRACE_TARGET, state_mask = ?branch.state_mask, num_children = branch.state_mask.count_bits(), "Setting branch root");
                let mut children = SmallVec::with_capacity(branch.state_mask.count_bits() as usize);
                for (stack_ptr, _nibble) in branch.state_mask.iter().enumerate() {
                    let child = self.upper_arena.insert_blinded(branch.stack[stack_ptr].clone());
                    children.push(child);
                }

                let branch_node = ArenaSparseNode::Branch(ArenaSparseNodeBranch {
                    state: ArenaSparseNodeState::Revealed,
                    children,
                    state_mask: branch.state_mask,
                    branch_masks: masks.unwrap_or_default(),
                });
                if branch.key.is_empty() {
                    self.upper_arena[self.root] = branch_node;
                } else {
                    let child = self.upper_arena.insert(branch_node);
                    self.upper_arena[self.root] =
                        ArenaSparseNode::Extension { key: branch.key, child };
                }
            }
            TrieNodeV2::Extension(node) => {
                return Err(SparseTrieErrorKind::Reveal {
                    path: Nibbles::new(),
                    node: Box::new(node),
                }
                .into());
            }
        }

        self.set_updates(retain_updates);
        Ok(())
    }

    fn set_updates(&mut self, retain_updates: bool) {
        if retain_updates {
            self.buffers.updates.get_or_insert_with(SparseTrieUpdates::default).clear();
        } else {
            self.buffers.updates = None;
        }
    }

    #[instrument(level = "trace", target = TRACE_TARGET, skip_all, fields(num_nodes = nodes.len()))]
    fn reveal_nodes(&mut self, nodes: &mut [ProofTrieNodeV2]) -> SparseTrieResult<()> {
        if nodes.is_empty() {
            return Ok(());
        }

        if matches!(self.upper_arena[self.root], ArenaSparseNode::EmptyRoot { .. }) {
            trace!(target: TRACE_TARGET, "Skipping reveal_nodes on empty root");
            return Ok(());
        }

        // Sort nodes lexicographically by path.
        nodes.sort_unstable_by_key(|n| n.path);

        let threshold = self.parallelism_thresholds.min_revealed_nodes;

        // Take the cursor out to avoid borrow conflicts with `self`.
        let mut cursor = mem::take(&mut self.buffers.cursor);
        cursor.reset(&self.upper_arena, self.root, Nibbles::default());

        // Skip root node if present (set_root handles the root).
        let mut node_idx = if nodes[0].path.is_empty() { 1 } else { 0 };

        // Walk the upper trie, revealing upper nodes inline and collecting subtrie work.
        // Subtries with enough nodes to reveal are taken for parallel processing; the rest
        // are revealed inline.
        let mut taken: Vec<(Index, Box<ArenaSparseSubtrie>, Vec<ProofTrieNodeV2>)> = Vec::new();

        while node_idx < nodes.len() {
            let find_result = cursor.seek(&mut self.upper_arena, &nodes[node_idx].path);

            match find_result {
                SeekResult::RevealedLeaf => {
                    trace!(target: TRACE_TARGET, path = ?nodes[node_idx].path, "Skipping reveal: leaf head");
                    node_idx += 1;
                }
                SeekResult::Blinded => {
                    // Save the proof node's path before reveal_node consumes it.
                    let child_path = nodes[node_idx].path;
                    let child_idx = Self::reveal_node(
                        &mut self.upper_arena,
                        &cursor,
                        &mut nodes[node_idx],
                        SeekResult::Blinded,
                    );
                    node_idx += 1;

                    if let Some(child_idx) = child_idx {
                        self.maybe_wrap_in_subtrie(child_idx, &child_path);
                    }
                }
                SeekResult::RevealedSubtrie => {
                    let child_idx = cursor.head().expect("cursor is non-empty").index;
                    let prefix = cursor.head_path();

                    let subtrie_start = node_idx;
                    while node_idx < nodes.len() && nodes[node_idx].path.starts_with(&prefix) {
                        node_idx += 1;
                    }
                    let num_subtrie_nodes = node_idx - subtrie_start;

                    if num_subtrie_nodes >= threshold {
                        // Take subtrie for parallel reveal.
                        trace!(target: TRACE_TARGET, ?prefix, num_subtrie_nodes, "Taking subtrie for parallel reveal");
                        let ArenaSparseNode::Subtrie(subtrie) = mem::replace(
                            &mut self.upper_arena[child_idx],
                            ArenaSparseNode::TakenSubtrie,
                        ) else {
                            unreachable!("RevealedSubtrie must point to a Subtrie node")
                        };
                        let node_vec: Vec<ProofTrieNodeV2> = (subtrie_start..node_idx)
                            .map(|i| mem::replace(&mut nodes[i], ProofTrieNodeV2::empty()))
                            .collect();
                        taken.push((child_idx, subtrie, node_vec));
                    } else {
                        // Reveal inline.
                        trace!(target: TRACE_TARGET, ?prefix, num_subtrie_nodes, "Revealing subtrie inline");
                        let ArenaSparseNode::Subtrie(subtrie) = &mut self.upper_arena[child_idx]
                        else {
                            unreachable!("RevealedSubtrie must point to a Subtrie node")
                        };
                        let mut subtrie_nodes: Vec<ProofTrieNodeV2> = (subtrie_start..node_idx)
                            .map(|i| mem::replace(&mut nodes[i], ProofTrieNodeV2::empty()))
                            .collect();
                        subtrie.reveal_nodes(&mut subtrie_nodes)?;
                    }
                }
                _ => {
                    trace!(target: TRACE_TARGET, path = ?nodes[node_idx].path, ?find_result, "Skipping reveal: no blinded child");
                    node_idx += 1;
                }
            }
        }

        // Drain remaining cursor entries from the upper-trie walk.
        cursor.drain(&mut self.upper_arena);
        self.buffers.cursor = cursor;

        if taken.is_empty() {
            return Ok(());
        }

        // Reveal taken subtries, in parallel if more than one.
        if taken.len() == 1 {
            let (_, subtrie, node_vec) = &mut taken[0];
            subtrie.reveal_nodes(node_vec)?;
        } else {
            let parent_span = tracing::Span::current();
            let results: Vec<SparseTrieResult<()>> = taken
                .par_iter_mut()
                .map(|(_, subtrie, node_vec)| {
                    let _guard = parent_span.enter();
                    subtrie.reveal_nodes(node_vec)
                })
                .collect();

            if let Some(err) = results.into_iter().find(|r| r.is_err()) {
                // Restore before returning so we don't leave TakenSubtrie holes.
                for (idx, subtrie, _) in taken {
                    self.restore_taken_subtrie(idx, subtrie);
                }
                return err;
            }
        }

        // Restore taken subtries into the upper arena.
        for (idx, subtrie, _) in taken {
            self.restore_taken_subtrie(idx, subtrie);
        }

        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        self.debug_assert_subtrie_structure();

        Ok(())
    }

    #[instrument(level = "trace", target = TRACE_TARGET, skip_all, ret)]
    fn root(&mut self, new_epoch: TrieNodeEpoch) -> B256 {
        self.update_subtrie_hashes(new_epoch);

        let rlp_node = Self::update_cached_rlp(
            &mut self.upper_arena,
            self.root,
            Nibbles::default(),
            &mut self.buffers,
            new_epoch,
        );

        rlp_node.as_hash().expect("root RlpNode must be a hash")
    }

    fn is_root_cached(&self) -> bool {
        matches!(
            node_state_ref(&self.upper_arena, self.root),
            Some(ArenaSparseNodeState::Cached { .. })
        )
    }

    fn root_epoch(&self) -> Option<TrieNodeEpoch> {
        match node_state_ref(&self.upper_arena, self.root)? {
            ArenaSparseNodeState::Revealed => Some(TrieNodeEpoch::UNMODIFIED),
            ArenaSparseNodeState::Cached { epoch, .. } => Some(*epoch),
            ArenaSparseNodeState::Dirty => None,
        }
    }

    #[instrument(level = "trace", target = TRACE_TARGET, skip_all)]
    fn update_subtrie_hashes(&mut self, new_epoch: TrieNodeEpoch) {
        trace!(target: TRACE_TARGET, "Updating subtrie hashes");

        // Only descend if the root is a branch or extension; otherwise there are no subtries.
        if branch_idx(&self.upper_arena, self.root).is_none() {
            return;
        }

        // Count total dirty leaves across all subtries to make one global parallelism decision.
        let mut total_dirty_leaves: u64 = 0;
        let mut taken: Vec<(Index, Box<ArenaSparseSubtrie>)> = Vec::new();
        for (idx, node) in self.upper_arena.iter_mut() {
            let ArenaSparseNode::Subtrie(s) = node else { continue };
            if s.num_dirty_leaves == 0 {
                continue;
            }
            total_dirty_leaves += s.num_dirty_leaves;
            let ArenaSparseNode::Subtrie(subtrie) =
                mem::replace(node, ArenaSparseNode::TakenSubtrie)
            else {
                unreachable!()
            };
            taken.push((idx, subtrie));
        }

        // Hash taken subtries in parallel if total dirty leaves meet the threshold.
        if !taken.is_empty() {
            if taken.len() == 1 || total_dirty_leaves < self.parallelism_thresholds.min_dirty_leaves
            {
                for (_, subtrie) in &mut taken {
                    subtrie.update_cached_rlp(new_epoch);
                }
            } else {
                let parent_span = tracing::Span::current();
                taken = taken
                    .into_par_iter()
                    .map(|(idx, mut subtrie)| {
                        let _guard = parent_span.enter();
                        subtrie.update_cached_rlp(new_epoch);
                        (idx, subtrie)
                    })
                    .collect();
            }
        }

        // If the root branch is already cached and nothing was taken for parallel
        // hashing, there are no dirty subtries to process.
        if taken.is_empty() && self.is_root_cached() {
            return;
        }

        // Walk the upper trie depth-first, restoring hashed subtries and inline-hashing
        // any remaining dirty subtries. Only descend into dirty branches; clean subtrees
        // cannot contain dirty subtries since dirty state propagates upward.
        taken.sort_unstable_by_key(|(_, b)| Reverse(b.path));

        self.buffers.cursor.reset(&self.upper_arena, self.root, Nibbles::default());

        loop {
            let result = self.buffers.cursor.next(&mut self.upper_arena, |_, child| match child {
                ArenaSparseNode::Branch(_) | ArenaSparseNode::Subtrie(_) => !child.is_cached(),
                ArenaSparseNode::Extension { .. } | ArenaSparseNode::TakenSubtrie => true,
                _ => false,
            });

            match result {
                NextResult::Done => break,
                NextResult::Branch => continue,
                NextResult::NonBranch => {}
            }

            // Head is a subtrie or taken-subtrie — process it.
            let head_idx = self.buffers.cursor.head().expect("cursor is non-empty").index;

            if matches!(&self.upper_arena[head_idx], ArenaSparseNode::TakenSubtrie) {
                let (_, subtrie) = taken.pop().expect("taken subtries must not be exhausted");
                debug_assert_eq!(
                    subtrie.path,
                    self.buffers.cursor.head_path(),
                    "taken subtrie path mismatch",
                );
                self.upper_arena[head_idx] = ArenaSparseNode::Subtrie(subtrie);
            }

            self.update_upper_subtrie(head_idx, new_epoch);
        }
    }

    fn get_leaf_value(&self, full_path: &Nibbles) -> Option<&Vec<u8>> {
        Self::get_leaf_value_in_arena(&self.upper_arena, self.root, full_path, 0)
    }

    fn find_leaf(
        &self,
        full_path: &Nibbles,
        expected_value: Option<&Vec<u8>>,
    ) -> Result<LeafLookup, LeafLookupError> {
        Self::find_leaf_in_arena(&self.upper_arena, self.root, full_path, 0, expected_value)
    }

    fn updates_ref(&self) -> Cow<'_, SparseTrieUpdates> {
        self.buffers
            .updates
            .as_ref()
            .map_or(Cow::Owned(SparseTrieUpdates::default()), Cow::Borrowed)
    }

    fn take_updates(&mut self) -> SparseTrieUpdates {
        match self.buffers.updates.take() {
            Some(updates) => {
                self.buffers.updates = Some(SparseTrieUpdates::with_capacity(
                    updates.updated_nodes.len(),
                    updates.removed_nodes.len(),
                ));
                updates
            }
            None => SparseTrieUpdates::default(),
        }
    }

    #[instrument(level = "trace", target = TRACE_TARGET, skip_all)]
    fn clear(&mut self) {
        self.upper_arena = NodeArena::new();
        self.root = self
            .upper_arena
            .insert(ArenaSparseNode::EmptyRoot { state: ArenaSparseNodeState::Revealed });
        self.buffers.clear();
    }

    #[instrument(
        level = "trace",
        target = TRACE_TARGET,
        skip_all,
        fields(prune_before = prune_before.get()),
    )]
    fn prune(&mut self, prune_before: TrieNodeEpoch) -> usize {
        assert!(self.root_epoch().is_some(), "prune cannot run on a dirty trie");

        // Only branches and extensions can have pruneable children.
        if branch_idx(&self.upper_arena, self.root).is_none() {
            return 0;
        }

        let threshold = self.parallelism_thresholds.min_leaves_for_prune;

        let mut cursor = mem::take(&mut self.buffers.cursor);
        cursor.reset(&self.upper_arena, self.root, Nibbles::default());

        // Subtries taken for parallel pruning.
        let mut taken: Vec<(Index, Box<ArenaSparseSubtrie>)> = Vec::new();

        let mut pruned = 0;

        loop {
            let result = cursor.next(&mut self.upper_arena, |_, child| {
                matches!(
                    child,
                    ArenaSparseNode::Branch(_) |
                        ArenaSparseNode::Extension { .. } |
                        ArenaSparseNode::Subtrie(_) |
                        ArenaSparseNode::Leaf { .. }
                )
            });

            if matches!(result, NextResult::Done) {
                break
            }

            let head_idx = cursor.head().expect("cursor is non-empty").index;

            match &self.upper_arena[head_idx] {
                ArenaSparseNode::Branch(_) |
                ArenaSparseNode::Extension { .. } |
                ArenaSparseNode::Leaf { .. } => {
                    // Don't prune the root.
                    if cursor.depth() == 0 {
                        continue;
                    }

                    let node_epoch = node_state_ref(&self.upper_arena, head_idx)
                        .and_then(ArenaSparseNodeState::cached_epoch)
                        .expect("prune must run after hashing");
                    if !node_epoch.should_prune(prune_before) {
                        continue;
                    }

                    let removed = Self::remove_pruned_node(&mut self.upper_arena, &mut cursor);
                    pruned += 1 + usize::from(removed.extension_child().is_some());
                }
                ArenaSparseNode::Subtrie(_) => {
                    let root_epoch = self.upper_arena[head_idx]
                        .state_ref()
                        .and_then(ArenaSparseNodeState::cached_epoch)
                        .expect("prune must run after hashing");
                    if root_epoch.should_prune(prune_before) {
                        let removed = Self::remove_pruned_node(&mut self.upper_arena, &mut cursor);
                        let ArenaSparseNode::Subtrie(s) = &removed else { unreachable!() };
                        pruned += s.arena.len();
                        self.recycle_subtrie(removed);
                        continue;
                    }

                    let ArenaSparseNode::Subtrie(subtrie) = &self.upper_arena[head_idx] else {
                        unreachable!()
                    };
                    if subtrie.num_leaves >= threshold {
                        let ArenaSparseNode::Subtrie(subtrie) = mem::replace(
                            &mut self.upper_arena[head_idx],
                            ArenaSparseNode::TakenSubtrie,
                        ) else {
                            unreachable!()
                        };
                        taken.push((head_idx, subtrie));
                    } else {
                        let ArenaSparseNode::Subtrie(subtrie) = &mut self.upper_arena[head_idx]
                        else {
                            unreachable!()
                        };
                        pruned += subtrie.prune(prune_before);
                    }
                }
                _ => unreachable!("prune walk must visit a subtrie, leaf, branch, or extension"),
            }
        }

        self.buffers.cursor = cursor;

        if !taken.is_empty() {
            // Prune taken subtries, in parallel if more than one.
            if taken.len() == 1 {
                let (_, ref mut subtrie) = taken[0];
                pruned += subtrie.prune(prune_before);
            } else {
                let parent_span = tracing::Span::current();
                pruned += taken
                    .par_iter_mut()
                    .map(|(_, subtrie)| {
                        let _guard = parent_span.enter();
                        let _span = tracing::trace_span!(
                            target: TRACE_TARGET,
                            "subtrie_prune",
                            subtrie = ?subtrie.path,
                        )
                        .entered();

                        subtrie.prune(prune_before)
                    })
                    .sum::<usize>();
            }

            // Restore taken subtries into the upper arena.
            for (child_idx, subtrie) in taken {
                self.restore_taken_subtrie(child_idx, subtrie);
            }
        }

        if pruned > 0 {
            compact_arena(&mut self.upper_arena, &mut self.root);
        }

        pruned
    }

    #[instrument(
        level = "trace",
        target = TRACE_TARGET,
        skip_all,
        fields(num_updates = updates.len()),
    )]
    fn update_leaves(
        &mut self,
        updates: &mut B256Map<LeafUpdate>,
        mut proof_required_fn: impl FnMut(B256, ProofV2TargetParent),
    ) -> SparseTrieResult<()> {
        if updates.is_empty() {
            return Ok(());
        }

        // Drain and sort updates lexicographically by nibbles path.
        let mut sorted: Vec<_> =
            updates.drain().map(|(key, update)| (key, Nibbles::unpack(key), update)).collect();
        sorted.sort_unstable_by_key(|entry| entry.1);

        let threshold = self.parallelism_thresholds.min_updates;
        let parallelize_distributed_updates = sorted.len() >= threshold.saturating_mul(4);

        let mut cursor = mem::take(&mut self.buffers.cursor);
        cursor.reset(&self.upper_arena, self.root, Nibbles::default());

        // Subtries taken for parallel processing: (arena_index, subtrie, update_range).
        let mut taken: Vec<(Index, Box<ArenaSparseSubtrie>, core::ops::Range<usize>)> = Vec::new();

        let mut update_idx = 0;
        while update_idx < sorted.len() {
            let (key, ref full_path, ref update) = sorted[update_idx];

            let find_result = cursor.seek(&mut self.upper_arena, full_path);

            match find_result {
                // Blinded — request a proof regardless of update type.
                SeekResult::Blinded => {
                    let logical_len = cursor.head_logical_branch_path_len(&self.upper_arena);
                    let parent = ProofV2TargetParent::new(logical_len);
                    trace!(target: TRACE_TARGET, ?key, ?parent, "Update hit blinded node, requesting proof");
                    proof_required_fn(key, parent);
                    updates.insert(key, update.clone());
                }
                // Subtrie — forward all consecutive updates under this subtrie's prefix.
                SeekResult::RevealedSubtrie => {
                    let child_idx = cursor.head().expect("cursor is non-empty").index;
                    let subtrie_root_path = cursor.head_path();

                    let subtrie_start = update_idx;
                    while update_idx < sorted.len() &&
                        sorted[update_idx].1.starts_with(&subtrie_root_path)
                    {
                        update_idx += 1;
                    }

                    let subtrie_updates = &sorted[subtrie_start..update_idx];

                    // Edge-case: if all updates are removals that could empty the
                    // subtrie and collapse the parent onto a blinded sibling, request
                    // a proof for the sibling and skip the subtrie's updates.
                    if let Some(proof) = Self::check_subtrie_collapse_needs_proof(
                        &self.upper_arena,
                        &cursor,
                        subtrie_updates,
                    ) {
                        trace!(target: TRACE_TARGET, proof_key = ?proof.key, proof_parent = ?proof.parent, "Subtrie collapse would need blinded sibling, requesting proof");
                        proof_required_fn(proof.key, proof.parent);
                        for &(key, _, ref update) in subtrie_updates {
                            updates.insert(key, update.clone());
                        }
                        // Pop the subtrie entry before continuing.
                        continue;
                    }

                    let num_subtrie_updates = update_idx - subtrie_start;

                    // If all updates are removals and could empty the subtrie,
                    // force inline processing so the upper-arena collapse logic
                    // can detect blinded siblings and request proofs.
                    let all_removals = subtrie_updates
                        .iter()
                        // Filter out Touched, as they don't affect the structure of the trie. So an
                        // update set with 2 removals and one Touched could still result in an empty
                        // sub trie.
                        .filter(|(_, _, u)| u.is_changed())
                        .all(|(_, _, u)| matches!(u, LeafUpdate::Changed(v) if v.is_empty()));
                    let subtrie_num_leaves = match &self.upper_arena[child_idx] {
                        ArenaSparseNode::Subtrie(s) => s.num_leaves,
                        _ => 0,
                    };
                    let might_empty_subtrie =
                        all_removals && num_subtrie_updates as u64 >= subtrie_num_leaves;

                    if (num_subtrie_updates >= threshold || parallelize_distributed_updates) &&
                        !might_empty_subtrie
                    {
                        // Take subtrie for parallel update.
                        trace!(target: TRACE_TARGET, ?subtrie_root_path, num_subtrie_updates, "Taking subtrie for parallel update");
                        let ArenaSparseNode::Subtrie(subtrie) = mem::replace(
                            &mut self.upper_arena[child_idx],
                            ArenaSparseNode::TakenSubtrie,
                        ) else {
                            unreachable!()
                        };
                        taken.push((child_idx, subtrie, subtrie_start..update_idx));
                    } else {
                        // Update inline.
                        trace!(target: TRACE_TARGET, ?subtrie_root_path, num_subtrie_updates, "Updating subtrie inline");
                        let ArenaSparseNode::Subtrie(subtrie) = &mut self.upper_arena[child_idx]
                        else {
                            unreachable!()
                        };

                        subtrie.update_leaves(subtrie_updates);

                        for (target_idx, proof) in subtrie.required_proofs.drain(..) {
                            proof_required_fn(proof.key, proof.parent);
                            let (key, _, ref update) = subtrie_updates[target_idx];
                            updates.insert(key, update.clone());
                        }

                        // Check if the subtrie's root became empty after updates.
                        self.maybe_unwrap_subtrie(&mut cursor);
                    }

                    // Don't increment update_idx — already advanced past subtrie updates.
                    continue;
                }
                // EmptyRoot, leaf, diverged branch, or empty child slot — upsert directly.
                find_result @ (SeekResult::EmptyRoot |
                SeekResult::RevealedLeaf |
                SeekResult::Diverged |
                SeekResult::NoChild { .. }) => match update {
                    LeafUpdate::Changed(v) if !v.is_empty() => {
                        let (result, _deltas) = Self::upsert_leaf(
                            &mut self.upper_arena,
                            &mut cursor,
                            &mut self.root,
                            full_path,
                            v,
                            find_result,
                        );
                        match result {
                            UpsertLeafResult::NewChild => {
                                if Self::should_be_subtrie(cursor.head_path_len()) {
                                    // The new child itself sits at the subtrie
                                    // boundary — wrap it directly.
                                    let head_idx =
                                        cursor.head().expect("cursor is non-empty").index;
                                    self.maybe_wrap_in_subtrie(head_idx, &cursor.head_path());
                                } else {
                                    // The new child is above the boundary (e.g. a
                                    // split at depth 1 creates children at depth 2).
                                    // Wrap any of its children that land there.
                                    self.maybe_wrap_branch_children(&cursor);
                                }
                            }
                            UpsertLeafResult::NewLeaf => {
                                // A root-level split may create children at the
                                // subtrie boundary depth. Wrap them.
                                self.maybe_wrap_branch_children(&cursor);
                            }
                            UpsertLeafResult::Updated => {}
                        }
                    }
                    LeafUpdate::Changed(_) => {
                        let (result, _deltas) = Self::remove_leaf(
                            &mut self.upper_arena,
                            &mut cursor,
                            &mut self.root,
                            key,
                            full_path,
                            find_result,
                            &mut self.buffers.updates,
                        );
                        match result {
                            RemoveLeafResult::NeedsProof { key, proof_key, parent } => {
                                proof_required_fn(proof_key, parent);
                                let update =
                                    mem::replace(&mut sorted[update_idx].2, LeafUpdate::Touched);
                                updates.insert(key, update);
                            }
                            RemoveLeafResult::Removed => {
                                // remove_leaf may have called collapse_branch, which
                                // can leave structural invariants violated:
                                // 1. A branch with 0-1 children that needs further collapse or
                                //    removal.
                                // 2. A Subtrie at a depth shallower than UPPER_TRIE_MAX_DEPTH that
                                //    needs unwrapping.
                                // 3. A non-Subtrie node at UPPER_TRIE_MAX_DEPTH that needs
                                //    wrapping.
                                self.maybe_collapse_or_remove_branch(&mut cursor);
                                let head_idx = cursor
                                    .head()
                                    .expect("cursor always has root after collapse")
                                    .index;
                                self.maybe_wrap_in_subtrie(head_idx, &cursor.head_path());
                            }
                            RemoveLeafResult::NotFound => {}
                        }
                    }
                    LeafUpdate::Touched => {}
                },
            }

            update_idx += 1;
        }

        // Drain remaining cursor entries from the upper-trie walk.
        cursor.drain(&mut self.upper_arena);
        self.buffers.cursor = cursor;

        if taken.is_empty() {
            #[cfg(all(debug_assertions, not(feature = "fuzz")))]
            self.debug_assert_subtrie_structure();

            return Ok(());
        }

        // Apply updates to taken subtries, in parallel if more than one.
        if taken.len() == 1 {
            let (_, ref mut subtrie, ref range) = taken[0];
            subtrie.update_leaves(&sorted[range.clone()]);
        } else {
            let parent_span = tracing::Span::current();
            taken.par_iter_mut().for_each(|(_, subtrie, range)| {
                let _guard = parent_span.enter();
                subtrie.update_leaves(&sorted[range.clone()]);
            });
        }

        // Collect subtrie paths before consuming `taken`, then restore subtries and
        // process required proofs.
        let taken_paths: Vec<Nibbles> = taken.iter().map(|(_, s, _)| s.path).collect();
        for (child_idx, mut subtrie, range) in taken {
            let subtrie_updates = &sorted[range];
            for (target_idx, proof) in subtrie.required_proofs.drain(..) {
                proof_required_fn(proof.key, proof.parent);
                let (key, _, ref update) = subtrie_updates[target_idx];
                updates.insert(key, update.clone());
            }

            // Restore the subtrie into the upper arena.
            self.restore_taken_subtrie(child_idx, subtrie);
        }

        // Navigate to each taken subtrie via seek to propagate dirty state
        // through intermediate branches. Taken subtries are guaranteed not to
        // become EmptyRoot (the would-empty-subtrie check above forces those
        // inline), so we only need to handle sibling collapses that may have
        // occurred during inline processing while this subtrie was taken.
        {
            let mut cursor = mem::take(&mut self.buffers.cursor);
            cursor.reset(&self.upper_arena, self.root, Nibbles::default());

            for path in &taken_paths {
                let find_result = cursor.seek(&mut self.upper_arena, path);
                match find_result {
                    SeekResult::RevealedSubtrie => {
                        debug_assert!(
                            {
                                let head_idx = cursor.head().expect("cursor is non-empty").index;
                                !matches!(
                                    &self.upper_arena[head_idx],
                                    ArenaSparseNode::Subtrie(s) if matches!(s.arena[s.root], ArenaSparseNode::EmptyRoot { .. })
                                )
                            },
                            "taken subtrie became EmptyRoot — should have been forced inline"
                        );

                        cursor.pop(&mut self.upper_arena);

                        // The parent branch (now at cursor top) may have had a sibling
                        // removed during inline processing while this subtrie was taken.
                        // Handle any necessary collapse or removal.
                        self.maybe_collapse_or_remove_branch(&mut cursor);
                    }
                    _ => {
                        // Subtrie was already unwrapped by a prior collapse; dirty state
                        // was propagated during that collapse. Nothing to do.
                    }
                }
            }

            cursor.drain(&mut self.upper_arena);
            self.buffers.cursor = cursor;
        }

        #[cfg(all(debug_assertions, not(feature = "fuzz")))]
        self.debug_assert_subtrie_structure();

        Ok(())
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::{
        ArenaParallelSparseTrie, ArenaParallelismThresholds, LeafUpdate, SparseTrie, TrieNodeEpoch,
    };
    use alloy_primitives::{map::B256Map, B256, U256};
    use rand::{seq::SliceRandom, Rng, SeedableRng};
    use reth_trie::test_utils::TrieTestHarness;
    use reth_trie_common::ProofV2Target;
    use std::collections::BTreeMap;
    use tracing::{info, trace};

    const fn epoch(value: u64) -> TrieNodeEpoch {
        TrieNodeEpoch::new(value)
    }

    #[test]
    fn unsupported_root_preserves_update_retention_and_allows_valid_root() {
        let mut trie = ArenaParallelSparseTrie::default();
        let root = TrieNodeV2::Extension(reth_trie_common::ExtensionNode::new(
            Nibbles::from_nibbles([1]),
            RlpNode::word_rlp(&B256::ZERO),
        ));
        let error = trie.set_root(root, None, true).unwrap_err();
        assert!(
            matches!(error.kind(), SparseTrieErrorKind::Reveal { path, .. } if path.is_empty())
        );
        assert!(trie.buffers.updates.is_none());

        trie.set_root(TrieNodeV2::EmptyRoot, None, true).unwrap();
        assert_eq!(trie.root(epoch(1)), EMPTY_ROOT_HASH);
        assert!(trie.buffers.updates.is_some());
    }

    #[test]
    fn pruning_pops_cursor_before_reusing_node_slot() {
        use super::{
            ArenaCursor, ArenaSparseNode, ArenaSparseNodeBranch, ArenaSparseNodeState, BranchChild,
            NextResult, NodeArena,
        };
        use reth_trie_common::RlpNode;

        let mut arena = NodeArena::new();
        let rlp = RlpNode::word_rlp(&B256::repeat_byte(1));
        let state = ArenaSparseNodeState::Cached { rlp_node: rlp.clone(), epoch: epoch(0) };
        let leaf =
            ArenaSparseNode::Leaf { state: state.clone(), key: Default::default(), value: vec![1] };
        let first = arena.insert(leaf.clone());
        let second = arena.insert(leaf);
        let root = arena.insert(ArenaSparseNode::Branch(ArenaSparseNodeBranch {
            state: state.clone(),
            children: [BranchChild::revealed(first), BranchChild::revealed(second)]
                .into_iter()
                .collect(),
            state_mask: alloy_trie::TrieMask::new(3),
            branch_masks: Default::default(),
        }));
        let mut cursor = ArenaCursor::default();
        cursor.reset(&arena, root, Default::default());
        assert!(matches!(cursor.next(&mut arena, |_, _| true), NextResult::NonBranch));
        assert_eq!(cursor.head().unwrap().index, first);

        ArenaParallelSparseTrie::remove_pruned_node(&mut arena, &mut cursor);
        assert_eq!(cursor.head().unwrap().index, root);
        let reused = arena.insert(ArenaSparseNode::Leaf {
            state: ArenaSparseNodeState::Dirty,
            key: Default::default(),
            value: vec![2],
        });
        assert_eq!(reused, first);

        assert!(matches!(cursor.next(&mut arena, |_, _| true), NextResult::NonBranch));
        assert_eq!(cursor.head().unwrap().index, second);
        assert!(matches!(cursor.next(&mut arena, |_, _| true), NextResult::Branch));
        assert_eq!(arena[root].state_ref(), Some(&state));
        assert_eq!(arena.blinded(arena[root].branch_ref().children[0]), &rlp);
        assert!(matches!(cursor.next(&mut arena, |_, _| true), NextResult::Done));
    }

    /// Test harness for proptest-based arena sparse trie testing.
    ///
    /// Wraps [`TrieTestHarness`] and adds `ArenaParallelSparseTrie`-specific helpers for
    /// the reveal-update loop and asserting that sparse trie updates match `StorageRoot`.
    struct ArenaTrieTestHarness {
        /// The inner general-purpose harness.
        inner: TrieTestHarness,
    }

    impl std::ops::Deref for ArenaTrieTestHarness {
        type Target = TrieTestHarness;
        fn deref(&self) -> &Self::Target {
            &self.inner
        }
    }

    impl std::ops::DerefMut for ArenaTrieTestHarness {
        fn deref_mut(&mut self) -> &mut Self::Target {
            &mut self.inner
        }
    }

    impl ArenaTrieTestHarness {
        /// Creates a new test harness from a map of hashed storage slots to values.
        fn new(storage: BTreeMap<B256, U256>) -> Self {
            Self { inner: TrieTestHarness::new(storage) }
        }

        /// Computes the new storage root and trie updates after applying the given changes
        /// using both `StorageRoot` and the provided `ArenaParallelSparseTrie`, then asserts
        /// they match.
        fn assert_changes(
            &self,
            apst: &mut ArenaParallelSparseTrie,
            changes: BTreeMap<B256, U256>,
        ) {
            // Compute expected root and trie updates via StorageRoot.
            let (expected_root, mut expected_trie_updates) = if changes.is_empty() {
                (self.original_root(), Default::default())
            } else {
                self.get_root_with_updates(&changes)
            };

            self.minimize_trie_updates(&mut expected_trie_updates);

            // Build leaf updates for the APST: non-zero values are upserts (RLP-encoded),
            // zero values are deletions (empty vec).
            let mut leaf_updates: B256Map<LeafUpdate> = changes
                .iter()
                .map(|(&slot, &value)| {
                    let rlp_value = if value.is_zero() {
                        Vec::new()
                    } else {
                        alloy_rlp::encode_fixed_size(&value).to_vec()
                    };
                    (slot, LeafUpdate::Changed(rlp_value))
                })
                .collect();

            // Reveal-update loop: call update_leaves, collect required proofs, fetch them,
            // reveal, and repeat until no more proofs are needed.
            loop {
                let mut targets: Vec<ProofV2Target> = Vec::new();
                apst.update_leaves(&mut leaf_updates, |key, parent| {
                    targets.push(ProofV2Target::new(key).with_parent(parent));
                })
                .expect("update_leaves should succeed");

                if targets.is_empty() {
                    break;
                }

                let (mut proof_nodes, _) = self.proof_v2(&mut targets);
                apst.reveal_nodes(&mut proof_nodes).expect("reveal_nodes should succeed");
            }

            // Compute root and take updates from the APST.
            let actual_root = apst.root(epoch(0));
            let mut actual_updates = apst.take_updates();

            // Minimize sparse updates inline (can't use TrieTestHarness::minimize_sparse_updates
            // due to the crate's SparseTrieUpdates being a different type than reth-trie's copy).
            actual_updates.updated_nodes.retain(|path, node| {
                self.storage_trie_updates().storage_nodes.get(path) != Some(node)
            });
            actual_updates
                .removed_nodes
                .retain(|path| self.storage_trie_updates().storage_nodes.contains_key(path));

            let mut expected_updated_nodes =
                expected_trie_updates.storage_nodes.into_iter().collect::<Vec<_>>();
            let mut actual_updated_nodes =
                actual_updates.updated_nodes.into_iter().collect::<Vec<_>>();
            expected_updated_nodes.sort();
            actual_updated_nodes.sort();
            pretty_assertions::assert_eq!(
                expected_updated_nodes,
                actual_updated_nodes,
                "updated nodes mismatch"
            );

            let mut expected_removed_nodes =
                expected_trie_updates.removed_nodes.into_iter().collect::<Vec<_>>();
            let mut actual_removed_nodes =
                actual_updates.removed_nodes.into_iter().collect::<Vec<_>>();
            expected_removed_nodes.sort();
            actual_removed_nodes.sort();
            pretty_assertions::assert_eq!(
                expected_removed_nodes,
                actual_removed_nodes,
                "removed nodes mismatch"
            );
            assert_eq!(expected_root, actual_root, "storage root mismatch");
        }
    }

    use proptest::prelude::*;
    use proptest_arbitrary_interop::arb;

    /// Builds a changeset by mixing `new_keys` (fresh insertions) with a fraction of
    /// existing keys from `base` (updates/deletions).
    ///
    /// `overlap_pct` controls how many existing keys are included, and `delete_pct`
    /// controls how many of those become deletions (zero values). The remaining
    /// overlap keys get random non-zero values.
    fn build_changeset(
        base: &BTreeMap<B256, U256>,
        new_keys: BTreeMap<B256, U256>,
        overlap_pct: f64,
        delete_pct: f64,
        rng: &mut rand::rngs::StdRng,
    ) -> BTreeMap<B256, U256> {
        let num_overlap = (base.len() as f64 * overlap_pct) as usize;
        let num_delete = (num_overlap as f64 * delete_pct) as usize;

        let mut all_keys: Vec<B256> = base.keys().copied().collect();
        all_keys.shuffle(rng);
        let overlap_keys = &all_keys[..num_overlap];

        let mut changeset = new_keys;
        for (i, &key) in overlap_keys.iter().enumerate() {
            let value =
                if i < num_delete { U256::ZERO } else { U256::from(rng.random::<u64>() | 1) };
            changeset.entry(key).or_insert(value);
        }
        changeset
    }

    proptest! {
        #![proptest_config(ProptestConfig::with_cases(1000))]
        #[test]
        fn arena_trie_proptest(
            initial in proptest::collection::btree_map(arb::<B256>(), arb::<U256>(), 0..=100usize),
            changeset1_new_keys in proptest::collection::btree_map(arb::<B256>(), arb::<U256>(), 0..=30usize),
            changeset2_new_keys in proptest::collection::btree_map(arb::<B256>(), arb::<U256>(), 0..=30usize),
            overlap_pct in 0.0..=0.5f64,
            delete_pct in 0.0..=0.33f64, // percent of overlapping changeset which are deletes
            shuffle_seed in arb::<u64>(),
        ) {
            reth_tracing::init_test_tracing();
            info!(target: TRACE_TARGET, ?shuffle_seed, "PROPTEST START");

            // Filter out zero-valued entries from the initial dataset (zeros mean "absent").
            let initial: BTreeMap<B256, U256> = initial.into_iter()
                .filter(|(_, v)| !v.is_zero())
                .collect();

            let mut rng = rand::rngs::StdRng::seed_from_u64(shuffle_seed);

            let changeset1 = build_changeset(&initial, changeset1_new_keys, overlap_pct, delete_pct, &mut rng);
            for (i, (k, v)) in changeset1.iter().enumerate() {
                trace!(target: TRACE_TARGET, ?i, ?k, ?v, "Changeset 1 entry");
            }

            let mut harness = ArenaTrieTestHarness::new(initial);

            // Initialize the APST from the harness root node.
            let root_node = harness.root_node();
            let mut apst = ArenaParallelSparseTrie::default().with_parallelism_thresholds(
                ArenaParallelismThresholds {
                    min_dirty_leaves: 3,
                    min_revealed_nodes: 3,
                    min_updates: 3,
                    min_leaves_for_prune: 3,
                },
            );
            apst.set_root(root_node.node, root_node.masks, true).expect("set_root should succeed");

            harness.assert_changes(&mut apst, changeset1.clone());

            // Update the harness base dataset to reflect the first changeset.
            harness.apply_changeset(changeset1);

            // All nodes were cached at epoch 0, so this maximally prunes the trie before the
            // second update round.
            apst.prune(epoch(1));

            let changeset2 = build_changeset(harness.storage(), changeset2_new_keys, overlap_pct, delete_pct, &mut rng);
            for (i, (k, v)) in changeset2.iter().enumerate() {
                trace!(target: TRACE_TARGET, ?i, ?k, ?v, "Changeset 2 entry");
            }

            harness.assert_changes(&mut apst, changeset2);
        }
    }
}