Commit 73470fa
authored
Optimize sorter
Impact: high
Impact_explanation: Looking at this optimization report, I need to assess the impact based on the provided rubric.
Let me analyze the key factors:
**Runtime Analysis:**
- Original Runtime: 3.28 seconds
- Optimized Runtime: 3.05 milliseconds
- This is a massive improvement well above the 100 microsecond threshold
- The 107,518% speedup is far above the 15% threshold for high impact
**Algorithmic Improvement:**
- Changed from O(n²) bubble sort to O(n log n) Timsort
- This is a fundamental algorithmic complexity improvement, not just a constant factor optimization
**Test Results Consistency:**
- **existing_tests**: Shows massive speedups across all tests (25,501% to 393,283%), all well above 5%
- **generated_tests**: Shows consistent improvements across all test cases:
- Small lists: 15-55% speedup (above 15% threshold)
- Large lists: 6,000-65,000% speedup (extremely high)
- Even the smallest improvements (15%) meet the threshold for significance
**Hot Path Analysis:**
From the calling function details, I can see the function is called in test cases that process large arrays (5000 elements), and it's used in computational workflows like `compute_and_sort`, indicating it could be in performance-critical paths.
**Assessment:**
- All metrics significantly exceed the thresholds for high impact
- The optimization shows consistent massive improvements across all test scenarios
- The algorithmic complexity improvement (O(n²) → O(n log n)) provides scalable benefits
- Runtime improvements are in the seconds-to-milliseconds range, not microseconds
- No test case shows performance regression or marginal improvement
This is clearly a high-impact optimization that transforms an inefficient algorithm into a highly optimized one with dramatic performance gains across all scenarios.
The optimization replaces a manual bubble sort implementation with Python's built-in `arr.sort()` method, delivering a massive **1,075x speedup**.
**Key Changes:**
- Eliminated the O(n²) nested loop structure that dominated execution time (75% of original runtime)
- Replaced manual element swapping with Python's highly optimized Timsort algorithm
- Removed the early termination logic (`swapped` flag) which is no longer needed
**Why This is Faster:**
Python's `list.sort()` uses Timsort, a hybrid stable sorting algorithm that runs in O(n log n) time and is implemented in C. The original bubble sort has O(n²) time complexity and performs all operations in Python bytecode. The profiler shows that the nested loops and element comparisons consumed over 99% of the original execution time.
**Performance by Test Case Type:**
- **Small lists (≤10 elements)**: 15-55% speedup due to reduced function call overhead
- **Large sorted/nearly sorted lists**: 60-72% speedup as Timsort excels at detecting existing order
- **Large random/reverse-sorted lists**: 6,000-65,000% speedup where the O(n²) vs O(n log n) complexity difference is most pronounced
- **Lists with duplicates**: 21,000-26,000% speedup as Timsort handles duplicates efficiently
- **Edge cases (floats, mixed types)**: Consistent improvement while maintaining identical error handling behavior
The optimization maintains identical functionality including in-place sorting behavior and error handling for incomparable types.1 parent 9cd4743 commit 73470fa
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