diff --git a/bench/algorithm/binarytrees/2.zig b/bench/algorithm/binarytrees/2.zig
new file mode 100644
index 00000000..096bd1bd
--- /dev/null
+++ b/bench/algorithm/binarytrees/2.zig
@@ -0,0 +1,126 @@
+const std = @import("std");
+const builtin = @import("builtin");
+const math = std.math;
+const Allocator = std.mem.Allocator;
+const MIN_DEPTH = 4;
+
+pub fn main() !void {
+    const global_allocator = std.heap.c_allocator;
+    const stdout = std.io.getStdOut().writer();
+    const n = try get_n(global_allocator);
+    const max_depth = math.max(MIN_DEPTH + 2, n);
+    {
+        const stretch_depth = max_depth + 1;
+        var stretch_tree = try Tree.init(stretch_depth, global_allocator);
+        defer stretch_tree.deinit();
+        try stdout.print("stretch tree of depth {d}\t check: {d}\n", .{ stretch_depth, stretch_tree.check() });
+    }
+    var long_lived_tree = try Tree.init(max_depth, global_allocator);
+    defer long_lived_tree.deinit();
+
+    var depth: usize = MIN_DEPTH;
+    while (depth <= max_depth) : (depth += 2) {
+        const iterations = @intCast(usize, 1) << @intCast(u6, max_depth - depth + MIN_DEPTH);
+        var sum: usize = 0;
+        var i: usize = 0;
+        while (i < iterations) : (i += 1) {
+            var tree = try Tree.init(depth, global_allocator);
+            defer tree.deinit();
+            sum += tree.check();
+        }
+        try stdout.print("{d}\t trees of depth {d}\t check: {d}\n", .{ iterations, depth, sum });
+    }
+
+    try stdout.print("long lived tree of depth {d}\t check: {d}\n", .{ max_depth, long_lived_tree.check() });
+}
+
+fn get_n(allocator: Allocator) !usize {
+    var arg_it = try std.process.ArgIterator.initWithAllocator(allocator);
+    defer arg_it.deinit();
+    _ = arg_it.skip();
+    const arg = arg_it.next() orelse return 10;
+    return try std.fmt.parseInt(u32, arg, 10);
+}
+
+const NodePool = std.heap.MemoryPool(Node);
+
+const Tree = struct {
+    node_pool: NodePool,
+    root_node: *Node,
+
+    pub fn init(depth: usize, allocator: Allocator) !Tree {
+        var node_pool = NodePool.init(allocator);
+        var root_node = Node.create_tree(&node_pool, depth) catch |err| {
+            node_pool.deinit();
+            return err;
+        };
+        return Tree{ .node_pool = node_pool, .root_node = root_node };
+    }
+
+    pub fn check(self: *Tree) usize {
+        return self.root_node.check();
+    }
+
+    pub fn deinit(self: *Tree) void {
+        self.node_pool.deinit();
+        self.* = undefined;
+    }
+};
+
+const Node = struct {
+    left: ?*Node = null,
+    right: ?*Node = null,
+
+    pub fn check(node: *Node) usize {
+        var sum: usize = 1;
+        if (node.left) |left| sum += left.check();
+        if (node.right) |right| sum += right.check();
+        return sum;
+    }
+
+    pub fn create_tree(pool: *NodePool, depth: usize) !*Node {
+        var node: *Node = try pool.create();
+        if (depth > 0) {
+            const sub_tree_depth = depth - 1;
+            node.left = try create_tree(pool, sub_tree_depth);
+            node.right = try create_tree(pool, sub_tree_depth);
+        } else {
+            node.left = null;
+            node.right = null;
+        }
+        return node;
+    }
+};
+
+test "Test depth 0" {
+    var tree1 = try Tree.init(0, std.testing.allocator);
+    defer tree1.deinit();
+    try std.testing.expect(tree1.check() == 1);
+}
+
+test "Test depth 1" {
+    var tree1 = try Tree.init(1, std.testing.allocator);
+    defer tree1.deinit();
+    try std.testing.expect(tree1.check() == 3);
+}
+
+test "Test depth 2" {
+    var tree1 = try Tree.init(2, std.testing.allocator);
+    defer tree1.deinit();
+    try std.testing.expect(tree1.check() == 7);
+}
+
+test "Test multiple trees" {
+    var tree1 = try Tree.init(2, std.testing.allocator);
+    defer tree1.deinit();
+
+    var tree2 = try Tree.init(2, std.testing.allocator);
+    defer tree2.deinit();
+
+    var tree3 = try Tree.init(2, std.testing.allocator);
+    defer tree3.deinit();
+
+    try std.testing.expect(tree1.check() == 7);
+    try std.testing.expect(tree2.check() == 7);
+    try std.testing.expect(tree3.check() == 7);
+}
diff --git a/bench/bench_zig.yaml b/bench/bench_zig.yaml
index ffe8b368..f6626b7b 100644
--- a/bench/bench_zig.yaml
+++ b/bench/bench_zig.yaml
@@ -6,6 +6,9 @@ problems:
   - name: binarytrees
     source:
       - 1.zig
+  - name: binarytrees
+    source:
+      - 2.zig
   - name: merkletrees
     source:
       - 1.zig