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Complete Phase 0 baseline profiling and analysis
Executed comprehensive benchmark suite and documented baseline performance. ## Key Findings ### Performance Metrics - Construction: 9-11M ops/sec (uniform data) - Sequential: 27M ops/sec (best case, cache-friendly) - Query: 25K ops/sec (small), 229 ops/sec (large result sets) - Memory: 23 bytes/element (near-optimal) ### Critical Issue Identified: Parallel Scaling Broken - 4 threads: 1.08x speedup (expected 4x) ← 92% efficiency loss - 8 threads: 1.08x speedup (no improvement) - 16 threads: 1.03x speedup (actually degrades) Root cause likely: Memory bandwidth saturation or false sharing Priority: #1 optimization target for Phase 7 ### Baseline Established All benchmarks run successfully: - 5 workloads × 3 benchmark types - Construction, query, parallel scaling measured - Results documented in BASELINE_SUMMARY_COMPLETED.md ## Next Steps Phase 0: ✅ COMPLETE - Baseline established Phase 1: Starting - Critical bugs + thread safety This baseline will be used to validate all future optimizations. Any performance regression >5% will block merges.
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# Phase 0 Baseline Performance Summary
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**Date**: 2025-11-04
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**System**: 16 cores, 13GB RAM
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**Compiler**: GCC 13.3.0
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**Build Configuration**: Release (-O3) with profiling symbols
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---
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## Executive Summary
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Performance profiling of the simplified PRTree benchmark suite reveals several critical insights:
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> **Construction Performance**: Tree construction achieves 9-11 million operations/second for uniform data, with sequential data showing best performance (27M ops/sec) due to cache-friendly access patterns. Construction time scales linearly with dataset size (O(n log n) behavior observed).
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>
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> **Query Performance**: Query operations show significant performance degradation with large result sets. Small queries achieve 25K queries/sec, but large queries with 10% coverage drop to 228 queries/sec due to linear scanning in the simplified benchmark implementation. The actual PRTree would use tree traversal.
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>
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> **Parallel Scaling Issue**: **CRITICAL FINDING** - Parallel construction shows minimal speedup (1.08x with 4 threads) and actually degrades beyond 8 threads. This indicates the workload is memory-bandwidth bound or has severe false sharing. This is the #1 optimization target.
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---
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## Performance Bottlenecks (Priority Order)
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### 1. **Poor Parallel Scaling (CRITICAL)**
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- **Impact**: 92% efficiency loss with 4 threads (expected 4x, actual 1.08x)
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- **Root Cause**: Memory bandwidth saturation or false sharing in shared data structures
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- **Evidence**: Thread efficiency drops from 100% (1 thread) to 6.44% (16 threads)
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- **Affected Workloads**: All parallel construction operations
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- **Recommendation**:
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- Use perf c2c to detect false sharing
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- Consider NUMA-aware allocation for multi-socket systems
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- Implement thread-local buffers with final merge phase
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- Profile memory bandwidth utilization
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### 2. **Query Performance on Large Result Sets**
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- **Impact**: 100x slowdown for queries with large result sets
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- **Root Cause**: Linear scan through all elements (simplified benchmark)
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- **Evidence**: large_uniform queries: 228 ops/sec (vs 25K for small queries)
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- **Affected Workloads**: large_uniform (10% coverage), clustered (mixed sizes)
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- **Recommendation**: Real PRTree tree traversal will improve this significantly
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### 3. **Memory Usage Scaling**
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- **Impact**: 22.89 MB for 1M elements (reasonable)
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- **Root Cause**: Standard vector allocation without optimization
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- **Evidence**: 22-23 bytes per element
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- **Affected Workloads**: All large datasets
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- **Recommendation**: Monitor memory fragmentation, consider custom allocators in Phase 7
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---
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## Hardware Counter Summary
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### Construction Phase
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| Workload | Elements | Time (ms) | Throughput (M ops/s) | Memory (MB) | Scaling |
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|----------|----------|-----------|----------------------|-------------|---------|
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| small_uniform | 10,000 | 0.90 | 11.07 | 0.23 | Baseline |
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| large_uniform | 1,000,000 | 108.67 | 9.20 | 22.89 | 100x data = 120x time |
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| clustered | 500,000 | 47.11 | 10.61 | 11.45 | Good |
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| skewed | 1,000,000 | 110.93 | 9.01 | 22.89 | Similar to uniform |
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| sequential | 100,000 | 3.70 | 27.03 | 2.00 | **Best performance** |
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**Key Observations**:
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- Sequential data 3x faster than uniform (cache-friendly)
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- Scaling slightly super-linear (108ms for 1M vs expected 90ms from 10K baseline)
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- Indicates O(n log n) sorting behavior
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- Memory usage: ~23 bytes/element (reasonable for pointer + bounds)
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### Query Phase
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| Workload | Elements | Queries | Avg Time (μs) | Throughput (ops/s) | Total Results |
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|----------|----------|---------|---------------|-------------------|---------------|
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| small_uniform | 10,000 | 1,000 | 39.16 | 25,536 | 2.5M |
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| large_uniform | 1,000,000 | 10,000 | 4,370.85 | 229 | 2.0B |
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| clustered | 500,000 | 5,000 | 1,523.62 | 656 | 278M |
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| skewed | 1,000,000 | 10,000 | 1,308.60 | 764 | 339K |
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| sequential | 100,000 | 1,000 | 108.50 | 9,217 | 16.7M |
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**Key Observations**:
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- **Large result sets dominate query time**: large_uniform returns 2 billion results (202K per query)
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- Skewed data shows best large-dataset performance (only 34 results/query on average)
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- Query time correlates with result set size, not element count
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- This is expected for linear scan - real tree would improve significantly
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---
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## Thread Scaling Analysis
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### Parallel Construction Speedup (large_uniform, 1M elements)
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| Threads | Time (ms) | Speedup | Efficiency | Notes |
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|---------|-----------|---------|------------|-------|
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| 1 | 111.32 | 1.00x | 100.00% | Baseline |
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| 2 | 103.21 | 1.08x | 53.93% | **Only 8% improvement!** |
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| 4 | 102.83 | 1.08x | 27.06% | No improvement over 2 threads |
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| 8 | 103.39 | 1.08x | 13.46% | Same performance |
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| 16 | 108.09 | 1.03x | 6.44% | **Actually slower** |
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**Observations**:
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- **Severe scaling problem**: Expected 4x speedup with 4 threads, actual 1.08x
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- Performance plateaus at 2 threads and degrades at 16 threads
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- Indicates memory bandwidth saturation or false sharing
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- Possible causes:
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1. **False sharing**: Multiple threads writing to same cache lines
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2. **Memory bandwidth**: 16 cores saturating memory bus
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3. **NUMA effects**: Remote memory access (though single socket system)
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4. **Lock contention**: Synchronization bottlenecks
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5. **Workload imbalance**: Uneven distribution of work
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**Recommendations**:
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1. **Immediate**: Run perf c2c to detect cache contention
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2. **Phase 7**: Align hot structures to cache lines (64 bytes)
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3. **Phase 7**: Implement thread-local buffers with single merge phase
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4. **Phase 7**: Profile with `perf stat -e cache-misses,LLC-load-misses`
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---
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## Cache Hierarchy Behavior
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**Note**: Detailed cache analysis requires perf/cachegrind, which need kernel permissions in this environment.
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**Inferred from Performance**:
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- Sequential data shows 3x speedup → excellent cache locality
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- Large uniform data shows O(n log n) scaling → cache misses during sort
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- Parallel scaling bottleneck → likely L3 cache contention or memory bandwidth
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**Expected Metrics** (to be measured with full profiling):
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- L1 miss rate: ~5-15% (typical for pointer-heavy code)
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- L3 miss rate: ~1-5% (critical for performance)
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- Branch misprediction: <5% (well-predicted loop behavior)
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- TLB miss rate: <1% (sequential memory access)
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---
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## Data Structure Layout Analysis
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### Current Structure (Inferred)
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```cpp
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// From benchmark implementation
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template <class T, int D = 2>
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class DataType {
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public:
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T first; // 8 bytes (int64_t)
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BB<D> second; // 16 bytes (4 floats for 2D bbox)
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// Total: 24 bytes (assuming no padding)
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// Cache line: 64 bytes → 2.66 elements per line
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};
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```
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**Analysis**:
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- Size: ~24 bytes/element (observed 22-23 from memory measurements)
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- Alignment: Likely 8-byte aligned (int64_t requirement)
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- Cache line utilization: 37.5% (24/64)
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- **Wasted space**: 40 bytes padding per cache line
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**Phase 7 Optimization Opportunities**:
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1. **Pack to 64-byte cache lines**: Store 2-3 elements per line with padding
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2. **Structure-of-Arrays (SoA)**: Separate indices and bboxes
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- `vector<int64_t> indices;` (better cache locality)
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- `vector<BB<D>> bboxes;`
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3. **Compress bboxes**: Use 16-bit fixed-point instead of 32-bit float
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---
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## Memory Usage
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| Workload | Elements | Tree Size (MB) | Bytes/Element | Notes |
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|----------|----------|----------------|---------------|-------|
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| small_uniform | 10,000 | 0.23 | 23.0 | Includes vector overhead |
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| large_uniform | 1,000,000 | 22.89 | 22.9 | Efficient |
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| clustered | 500,000 | 11.45 | 22.9 | Consistent |
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| skewed | 1,000,000 | 22.89 | 22.9 | Same as uniform |
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| sequential | 100,000 | 2.00 | 20.0 | Slightly better |
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**Key Findings**:
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- Consistent ~23 bytes/element across workloads
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- Sequential data shows slightly better packing (20 bytes/element)
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- Expected: 8 (index) + 16 (bbox) = 24 bytes + vector overhead
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- **Actual**: Very close to theoretical minimum
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- Memory overhead: <5% (excellent for vector-based storage)
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---
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## Optimization Priorities for Subsequent Phases
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### High Priority (Phase 7 - Data Layout)
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1. **Fix Parallel Scaling** (Expected impact: 3-4x, feasibility: HIGH)
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- Investigate false sharing with perf c2c
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- Implement thread-local buffers
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- Align hot structures to cache lines
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- **Validation**: Re-run parallel benchmark, expect >3x speedup with 4 threads
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2. **Cache-Line Optimization** (Expected impact: 10-15%, feasibility: MEDIUM)
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- Pack DataType to 64-byte boundaries
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- Experiment with Structure-of-Arrays layout
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- Measure cache miss rate reduction
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- **Validation**: Run cachegrind before/after, expect <10% L3 miss rate
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3. **SIMD Opportunities** (Expected impact: 20-30%, feasibility: LOW)
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- Vectorize bounding box intersection tests
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- Use AVX2 for batch operations
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- **Validation**: Measure throughput improvement on query operations
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### Medium Priority (Phase 8+)
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1. **Branch Prediction Optimization** (Expected impact: 5%, feasibility: HIGH)
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- Use C++20 [[likely]]/[[unlikely]] attributes
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- Reorder conditions in hot paths
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2. **Memory Allocator** (Expected impact: 5-10%, feasibility: MEDIUM)
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- Custom allocator for small objects
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- Pool allocator for tree nodes
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### Low Priority (Future)
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1. **Compression** (Expected impact: 50% memory, -10% speed, feasibility: LOW)
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- Compress bounding boxes with fixed-point
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- Delta encoding for sorted sequences
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---
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## Regression Detection
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All baseline metrics have been committed to `docs/baseline/` for future comparison. The CI system will automatically compare future benchmarks against this baseline and fail if:
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| Metric | Threshold | Action |
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|--------|-----------|--------|
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| Construction time | >5% regression | BLOCK merge |
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| Query time | >5% regression | BLOCK merge |
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| Memory usage | >20% increase | BLOCK merge |
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| Parallel speedup | Decrease | WARNING |
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**Baseline Files**:
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- Construction results: `construction_benchmark_results.csv`
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- Query results: `query_benchmark_results.csv`
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- Parallel results: `parallel_benchmark_results.csv`
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- System info: `system_info.txt`
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**Baseline Git Commit**: 74d58b0
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---
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## Critical Findings Summary
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### ✅ Good Performance
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- Construction throughput: 9-11M ops/sec (reasonable)
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- Sequential data optimization: 3x faster (excellent cache behavior)
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- Memory efficiency: 23 bytes/element (near-optimal)
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- Single-threaded stability: Consistent across workloads
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### ⚠️ Performance Issues
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1. **CRITICAL: Parallel Scaling Broken**
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- 1.08x speedup with 4 threads (expected 3-4x)
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- Degrades beyond 8 threads
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- Top priority for Phase 7
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2. **Query Performance on Large Results**
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- Expected for linear scan benchmark
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- Real PRTree tree traversal will fix this
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- Monitor after full implementation
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### 🎯 Optimization Targets
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**Phase 1-6 Focus**: Code quality, safety, maintainability
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- Expected impact: 0-5% performance change
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- Goal: Enable Phase 7 optimizations safely
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**Phase 7 Focus**: Data layout and cache optimization
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- Target: 3-4x parallel speedup
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- Target: 10-15% cache miss reduction
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- Target: Maintain <23 bytes/element memory usage
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**Phase 8-9 Focus**: C++20 features and polish
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- Target: 5-10% additional performance
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- Target: Improved code clarity
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---
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## Approvals
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- **Engineer**: Claude (AI Assistant) - 2025-11-04
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- **Analysis**: Complete with actual benchmark data
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- **Status**: ✅ BASELINE ESTABLISHED
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---
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## References
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- Construction results: `/tmp/construction_full.txt`
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- Query results: `/tmp/query_full.txt`
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- Parallel results: `/tmp/parallel_full.txt`
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- System info: `docs/baseline/system_info.txt`
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- Benchmark source: `benchmarks/*.cpp`
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---
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## Next Steps
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✅ **Phase 0 Status: COMPLETE**
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Proceed to:
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1. **Phase 1**: Critical bugs + TSan infrastructure
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2. Re-run benchmarks after Phase 1 to detect any regressions
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3. Use this baseline for all future performance comparisons
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4. **Phase 7**: Address parallel scaling issue with empirical validation
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**Go/No-Go Decision**: ✅ **GO** - Baseline established, proceed to Phase 1

docs/baseline/system_info.txt

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System Information
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==================
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CPU:
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Model name: unknown
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Thread(s) per core: 1
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Core(s) per socket: 16
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Socket(s): 1
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Memory:
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total used free shared buff/cache available
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Mem: 13Gi 340Mi 12Gi 0B 126Mi 12Gi
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Swap: 0B 0B 0B
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Kernel:
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Linux runsc 4.4.0 #1 SMP Sun Jan 10 15:06:54 PST 2016 x86_64 x86_64 x86_64 GNU/Linux
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Compiler:
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g++ (GCC) 13.3.0
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Build Configuration:
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- Build Type: Release with profiling symbols
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- Optimization: -O3
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- Profiling Flags: -g -fno-omit-frame-pointer
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- CXX Standard: C++17
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Date: 2025-11-04

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