Prioritize algorithmic efficiency by choosing operations and data structures that minimize computational complexity. Look for opportunities to replace O(n) operations with O(1) alternatives, select appropriate data structures for the use case, and avoid unnecessary algorithmic overhead.

Key optimization strategies:

Example of complexity optimization:

// Instead of O(n) traversal:
fn get_root_slow(&self) -> Self {
    let mut current = self.clone();
    while let Some(parent) = current.parent() {
        current = parent;
    }
    current
}

// Provide O(1) direct access:
fn get_root_node(&self) -> Self {
    // Often possible to get root in O(1) if in shadow/document tree
    self.document().root_element()
}

This approach reduces computational overhead and improves performance, especially in frequently called code paths involving DOM traversal, data structure operations, and rendering algorithms.