⚡️ Speed up method Algorithms.fibonacci by 13%#1413
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codeflash-ai[bot] wants to merge 1 commit intoomni-javafrom
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⚡️ Speed up method Algorithms.fibonacci by 13%#1413codeflash-ai[bot] wants to merge 1 commit intoomni-javafrom
Algorithms.fibonacci by 13%#1413codeflash-ai[bot] wants to merge 1 commit intoomni-javafrom
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The optimized code achieves a **12% runtime improvement** (5.60ms → 4.97ms) through three complementary optimizations to the fast doubling Fibonacci algorithm: **1. Simplified bit mask initialization:** Replaced `31 - Integer.numberOfLeadingZeros(n)` followed by `1 << highestBit` with a direct call to `Integer.highestOneBit(n)`. This eliminates one arithmetic operation and one bit shift per function call, computing the same mask value more efficiently. **2. Streamlined loop structure:** - Removed the unused loop counter `i` and the redundant `highestBit` variable - Changed to unsigned right-shift (`>>>=`) directly on the mask - Simplified the loop header from `for (int i = highestBit; mask != 0; i--, mask >>= 1)` to `for (; mask != 0; mask >>>= 1)` This reduces per-iteration overhead by eliminating unnecessary variable updates and using the more efficient unsigned shift operator. **3. Eliminated intermediate variable:** Removed the `twoBMinusA` temporary variable, computing `(twoB - a)` inline within the multiplication: `a * (twoB - a)`. This reduces memory pressure and allows the JIT compiler to better optimize the arithmetic sequence, potentially keeping values in registers rather than memory. **Why this improves runtime:** These changes reduce the instruction count in the hot loop that executes O(log n) times. Each iteration now performs fewer operations (no extra variable assignments, no extra loop counter decrement), which compounds across iterations. The JVM's JIT compiler can also better optimize the tighter loop structure, improving instruction pipelining and register allocation. For Fibonacci calculations of large numbers where the loop iterates many times, these micro-optimizations accumulate into measurable performance gains.
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📄 13% (0.13x) speedup for
Algorithms.fibonacciincode_to_optimize/java/src/main/java/com/example/Algorithms.java⏱️ Runtime :
5.60 milliseconds→4.97 milliseconds(best of5runs)📝 Explanation and details
The optimized code achieves a 12% runtime improvement (5.60ms → 4.97ms) through three complementary optimizations to the fast doubling Fibonacci algorithm:
1. Simplified bit mask initialization:
Replaced
31 - Integer.numberOfLeadingZeros(n)followed by1 << highestBitwith a direct call toInteger.highestOneBit(n). This eliminates one arithmetic operation and one bit shift per function call, computing the same mask value more efficiently.2. Streamlined loop structure:
iand the redundanthighestBitvariable>>>=) directly on the maskfor (int i = highestBit; mask != 0; i--, mask >>= 1)tofor (; mask != 0; mask >>>= 1)This reduces per-iteration overhead by eliminating unnecessary variable updates and using the more efficient unsigned shift operator.
3. Eliminated intermediate variable:
Removed the
twoBMinusAtemporary variable, computing(twoB - a)inline within the multiplication:a * (twoB - a). This reduces memory pressure and allows the JIT compiler to better optimize the arithmetic sequence, potentially keeping values in registers rather than memory.Why this improves runtime:
These changes reduce the instruction count in the hot loop that executes O(log n) times. Each iteration now performs fewer operations (no extra variable assignments, no extra loop counter decrement), which compounds across iterations. The JVM's JIT compiler can also better optimize the tighter loop structure, improving instruction pipelining and register allocation. For Fibonacci calculations of large numbers where the loop iterates many times, these micro-optimizations accumulate into measurable performance gains.
✅ Correctness verification report:
⚙️ Click to see Existing Unit Tests
To edit these changes
git checkout codeflash/optimize-Algorithms.fibonacci-mlbfivysand push.