Identify and reduce computational complexity in your code by minimizing redundant operations and simplifying algorithms. Focus especially on code that processes large datasets or is called frequently.

Key practices:

  1. Reduce redundant operations, especially in loops and function calls:
    # Inefficient - O(2N+1) function calls
    for obj in objs:
        filter_kwargs = get_filter_kwargs_for_object(obj)
        # ...process...
        filter_kwargs = get_filter_kwargs_for_object(obj)  # Called again!
           
    # Optimized - O(N) function calls
    for obj in objs:
        filter_kwargs = get_filter_kwargs_for_object(obj)
        # ...use filter_kwargs throughout...
    
  2. Use appropriate data structures to improve access patterns:
    # Creating a lookup map for faster access
    max_orders_map = {
        tuple(key_values): max_order
        for key_values, max_order in zip(keys, values)
    }
    # Now O(1) lookups instead of repeated O(n) searches
    
  3. Simplify complex conditionals without sacrificing functionality:
    # Verbose approach
    if isinstance(rel, ForeignKey) or isinstance(rel, OneToOneField):
        # do something
       
    # Simplified equivalent
    if isinstance(rel, (ForeignKey, OneToOneField)):
        # do something
    
  4. Choose algorithms with appropriate complexity for your data size:
    # Less efficient for large datasets (potentially O(n²))
    return min(desired_types, key=lambda t: self.accepted_types.index(t[0]))[1]
       
    # More efficient direct comparison (O(n))
    return max(desired_types, key=lambda t: t[0].quality)[1]
    

Remember that the most important optimizations target the inner loops and frequently called functions. Document the time and space complexity of critical algorithms to help future developers understand performance considerations.