|
| 1 | +# Phase 0 Baseline Performance Summary |
| 2 | + |
| 3 | +**Date**: 2025-11-04 |
| 4 | +**System**: 16 cores, 13GB RAM |
| 5 | +**Compiler**: GCC 13.3.0 |
| 6 | +**Build Configuration**: Release (-O3) with profiling symbols |
| 7 | + |
| 8 | +--- |
| 9 | + |
| 10 | +## Executive Summary |
| 11 | + |
| 12 | +Performance profiling of the simplified PRTree benchmark suite reveals several critical insights: |
| 13 | + |
| 14 | +> **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). |
| 15 | +> |
| 16 | +> **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. |
| 17 | +> |
| 18 | +> **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. |
| 19 | +
|
| 20 | +--- |
| 21 | + |
| 22 | +## Performance Bottlenecks (Priority Order) |
| 23 | + |
| 24 | +### 1. **Poor Parallel Scaling (CRITICAL)** |
| 25 | +- **Impact**: 92% efficiency loss with 4 threads (expected 4x, actual 1.08x) |
| 26 | +- **Root Cause**: Memory bandwidth saturation or false sharing in shared data structures |
| 27 | +- **Evidence**: Thread efficiency drops from 100% (1 thread) to 6.44% (16 threads) |
| 28 | +- **Affected Workloads**: All parallel construction operations |
| 29 | +- **Recommendation**: |
| 30 | + - Use perf c2c to detect false sharing |
| 31 | + - Consider NUMA-aware allocation for multi-socket systems |
| 32 | + - Implement thread-local buffers with final merge phase |
| 33 | + - Profile memory bandwidth utilization |
| 34 | + |
| 35 | +### 2. **Query Performance on Large Result Sets** |
| 36 | +- **Impact**: 100x slowdown for queries with large result sets |
| 37 | +- **Root Cause**: Linear scan through all elements (simplified benchmark) |
| 38 | +- **Evidence**: large_uniform queries: 228 ops/sec (vs 25K for small queries) |
| 39 | +- **Affected Workloads**: large_uniform (10% coverage), clustered (mixed sizes) |
| 40 | +- **Recommendation**: Real PRTree tree traversal will improve this significantly |
| 41 | + |
| 42 | +### 3. **Memory Usage Scaling** |
| 43 | +- **Impact**: 22.89 MB for 1M elements (reasonable) |
| 44 | +- **Root Cause**: Standard vector allocation without optimization |
| 45 | +- **Evidence**: 22-23 bytes per element |
| 46 | +- **Affected Workloads**: All large datasets |
| 47 | +- **Recommendation**: Monitor memory fragmentation, consider custom allocators in Phase 7 |
| 48 | + |
| 49 | +--- |
| 50 | + |
| 51 | +## Hardware Counter Summary |
| 52 | + |
| 53 | +### Construction Phase |
| 54 | + |
| 55 | +| Workload | Elements | Time (ms) | Throughput (M ops/s) | Memory (MB) | Scaling | |
| 56 | +|----------|----------|-----------|----------------------|-------------|---------| |
| 57 | +| small_uniform | 10,000 | 0.90 | 11.07 | 0.23 | Baseline | |
| 58 | +| large_uniform | 1,000,000 | 108.67 | 9.20 | 22.89 | 100x data = 120x time | |
| 59 | +| clustered | 500,000 | 47.11 | 10.61 | 11.45 | Good | |
| 60 | +| skewed | 1,000,000 | 110.93 | 9.01 | 22.89 | Similar to uniform | |
| 61 | +| sequential | 100,000 | 3.70 | 27.03 | 2.00 | **Best performance** | |
| 62 | + |
| 63 | +**Key Observations**: |
| 64 | +- Sequential data 3x faster than uniform (cache-friendly) |
| 65 | +- Scaling slightly super-linear (108ms for 1M vs expected 90ms from 10K baseline) |
| 66 | +- Indicates O(n log n) sorting behavior |
| 67 | +- Memory usage: ~23 bytes/element (reasonable for pointer + bounds) |
| 68 | + |
| 69 | +### Query Phase |
| 70 | + |
| 71 | +| Workload | Elements | Queries | Avg Time (μs) | Throughput (ops/s) | Total Results | |
| 72 | +|----------|----------|---------|---------------|-------------------|---------------| |
| 73 | +| small_uniform | 10,000 | 1,000 | 39.16 | 25,536 | 2.5M | |
| 74 | +| large_uniform | 1,000,000 | 10,000 | 4,370.85 | 229 | 2.0B | |
| 75 | +| clustered | 500,000 | 5,000 | 1,523.62 | 656 | 278M | |
| 76 | +| skewed | 1,000,000 | 10,000 | 1,308.60 | 764 | 339K | |
| 77 | +| sequential | 100,000 | 1,000 | 108.50 | 9,217 | 16.7M | |
| 78 | + |
| 79 | +**Key Observations**: |
| 80 | +- **Large result sets dominate query time**: large_uniform returns 2 billion results (202K per query) |
| 81 | +- Skewed data shows best large-dataset performance (only 34 results/query on average) |
| 82 | +- Query time correlates with result set size, not element count |
| 83 | +- This is expected for linear scan - real tree would improve significantly |
| 84 | + |
| 85 | +--- |
| 86 | + |
| 87 | +## Thread Scaling Analysis |
| 88 | + |
| 89 | +### Parallel Construction Speedup (large_uniform, 1M elements) |
| 90 | + |
| 91 | +| Threads | Time (ms) | Speedup | Efficiency | Notes | |
| 92 | +|---------|-----------|---------|------------|-------| |
| 93 | +| 1 | 111.32 | 1.00x | 100.00% | Baseline | |
| 94 | +| 2 | 103.21 | 1.08x | 53.93% | **Only 8% improvement!** | |
| 95 | +| 4 | 102.83 | 1.08x | 27.06% | No improvement over 2 threads | |
| 96 | +| 8 | 103.39 | 1.08x | 13.46% | Same performance | |
| 97 | +| 16 | 108.09 | 1.03x | 6.44% | **Actually slower** | |
| 98 | + |
| 99 | +**Observations**: |
| 100 | +- **Severe scaling problem**: Expected 4x speedup with 4 threads, actual 1.08x |
| 101 | +- Performance plateaus at 2 threads and degrades at 16 threads |
| 102 | +- Indicates memory bandwidth saturation or false sharing |
| 103 | +- Possible causes: |
| 104 | + 1. **False sharing**: Multiple threads writing to same cache lines |
| 105 | + 2. **Memory bandwidth**: 16 cores saturating memory bus |
| 106 | + 3. **NUMA effects**: Remote memory access (though single socket system) |
| 107 | + 4. **Lock contention**: Synchronization bottlenecks |
| 108 | + 5. **Workload imbalance**: Uneven distribution of work |
| 109 | + |
| 110 | +**Recommendations**: |
| 111 | +1. **Immediate**: Run perf c2c to detect cache contention |
| 112 | +2. **Phase 7**: Align hot structures to cache lines (64 bytes) |
| 113 | +3. **Phase 7**: Implement thread-local buffers with single merge phase |
| 114 | +4. **Phase 7**: Profile with `perf stat -e cache-misses,LLC-load-misses` |
| 115 | + |
| 116 | +--- |
| 117 | + |
| 118 | +## Cache Hierarchy Behavior |
| 119 | + |
| 120 | +**Note**: Detailed cache analysis requires perf/cachegrind, which need kernel permissions in this environment. |
| 121 | + |
| 122 | +**Inferred from Performance**: |
| 123 | +- Sequential data shows 3x speedup → excellent cache locality |
| 124 | +- Large uniform data shows O(n log n) scaling → cache misses during sort |
| 125 | +- Parallel scaling bottleneck → likely L3 cache contention or memory bandwidth |
| 126 | + |
| 127 | +**Expected Metrics** (to be measured with full profiling): |
| 128 | +- L1 miss rate: ~5-15% (typical for pointer-heavy code) |
| 129 | +- L3 miss rate: ~1-5% (critical for performance) |
| 130 | +- Branch misprediction: <5% (well-predicted loop behavior) |
| 131 | +- TLB miss rate: <1% (sequential memory access) |
| 132 | + |
| 133 | +--- |
| 134 | + |
| 135 | +## Data Structure Layout Analysis |
| 136 | + |
| 137 | +### Current Structure (Inferred) |
| 138 | + |
| 139 | +```cpp |
| 140 | +// From benchmark implementation |
| 141 | +template <class T, int D = 2> |
| 142 | +class DataType { |
| 143 | +public: |
| 144 | + T first; // 8 bytes (int64_t) |
| 145 | + BB<D> second; // 16 bytes (4 floats for 2D bbox) |
| 146 | + |
| 147 | + // Total: 24 bytes (assuming no padding) |
| 148 | + // Cache line: 64 bytes → 2.66 elements per line |
| 149 | +}; |
| 150 | +``` |
| 151 | +
|
| 152 | +**Analysis**: |
| 153 | +- Size: ~24 bytes/element (observed 22-23 from memory measurements) |
| 154 | +- Alignment: Likely 8-byte aligned (int64_t requirement) |
| 155 | +- Cache line utilization: 37.5% (24/64) |
| 156 | +- **Wasted space**: 40 bytes padding per cache line |
| 157 | +
|
| 158 | +**Phase 7 Optimization Opportunities**: |
| 159 | +1. **Pack to 64-byte cache lines**: Store 2-3 elements per line with padding |
| 160 | +2. **Structure-of-Arrays (SoA)**: Separate indices and bboxes |
| 161 | + - `vector<int64_t> indices;` (better cache locality) |
| 162 | + - `vector<BB<D>> bboxes;` |
| 163 | +3. **Compress bboxes**: Use 16-bit fixed-point instead of 32-bit float |
| 164 | +
|
| 165 | +--- |
| 166 | +
|
| 167 | +## Memory Usage |
| 168 | +
|
| 169 | +| Workload | Elements | Tree Size (MB) | Bytes/Element | Notes | |
| 170 | +|----------|----------|----------------|---------------|-------| |
| 171 | +| small_uniform | 10,000 | 0.23 | 23.0 | Includes vector overhead | |
| 172 | +| large_uniform | 1,000,000 | 22.89 | 22.9 | Efficient | |
| 173 | +| clustered | 500,000 | 11.45 | 22.9 | Consistent | |
| 174 | +| skewed | 1,000,000 | 22.89 | 22.9 | Same as uniform | |
| 175 | +| sequential | 100,000 | 2.00 | 20.0 | Slightly better | |
| 176 | +
|
| 177 | +**Key Findings**: |
| 178 | +- Consistent ~23 bytes/element across workloads |
| 179 | +- Sequential data shows slightly better packing (20 bytes/element) |
| 180 | +- Expected: 8 (index) + 16 (bbox) = 24 bytes + vector overhead |
| 181 | +- **Actual**: Very close to theoretical minimum |
| 182 | +- Memory overhead: <5% (excellent for vector-based storage) |
| 183 | +
|
| 184 | +--- |
| 185 | +
|
| 186 | +## Optimization Priorities for Subsequent Phases |
| 187 | +
|
| 188 | +### High Priority (Phase 7 - Data Layout) |
| 189 | +
|
| 190 | +1. **Fix Parallel Scaling** (Expected impact: 3-4x, feasibility: HIGH) |
| 191 | + - Investigate false sharing with perf c2c |
| 192 | + - Implement thread-local buffers |
| 193 | + - Align hot structures to cache lines |
| 194 | + - **Validation**: Re-run parallel benchmark, expect >3x speedup with 4 threads |
| 195 | +
|
| 196 | +2. **Cache-Line Optimization** (Expected impact: 10-15%, feasibility: MEDIUM) |
| 197 | + - Pack DataType to 64-byte boundaries |
| 198 | + - Experiment with Structure-of-Arrays layout |
| 199 | + - Measure cache miss rate reduction |
| 200 | + - **Validation**: Run cachegrind before/after, expect <10% L3 miss rate |
| 201 | +
|
| 202 | +3. **SIMD Opportunities** (Expected impact: 20-30%, feasibility: LOW) |
| 203 | + - Vectorize bounding box intersection tests |
| 204 | + - Use AVX2 for batch operations |
| 205 | + - **Validation**: Measure throughput improvement on query operations |
| 206 | +
|
| 207 | +### Medium Priority (Phase 8+) |
| 208 | +
|
| 209 | +1. **Branch Prediction Optimization** (Expected impact: 5%, feasibility: HIGH) |
| 210 | + - Use C++20 [[likely]]/[[unlikely]] attributes |
| 211 | + - Reorder conditions in hot paths |
| 212 | +
|
| 213 | +2. **Memory Allocator** (Expected impact: 5-10%, feasibility: MEDIUM) |
| 214 | + - Custom allocator for small objects |
| 215 | + - Pool allocator for tree nodes |
| 216 | +
|
| 217 | +### Low Priority (Future) |
| 218 | +
|
| 219 | +1. **Compression** (Expected impact: 50% memory, -10% speed, feasibility: LOW) |
| 220 | + - Compress bounding boxes with fixed-point |
| 221 | + - Delta encoding for sorted sequences |
| 222 | +
|
| 223 | +--- |
| 224 | +
|
| 225 | +## Regression Detection |
| 226 | +
|
| 227 | +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: |
| 228 | +
|
| 229 | +| Metric | Threshold | Action | |
| 230 | +|--------|-----------|--------| |
| 231 | +| Construction time | >5% regression | BLOCK merge | |
| 232 | +| Query time | >5% regression | BLOCK merge | |
| 233 | +| Memory usage | >20% increase | BLOCK merge | |
| 234 | +| Parallel speedup | Decrease | WARNING | |
| 235 | +
|
| 236 | +**Baseline Files**: |
| 237 | +- Construction results: `construction_benchmark_results.csv` |
| 238 | +- Query results: `query_benchmark_results.csv` |
| 239 | +- Parallel results: `parallel_benchmark_results.csv` |
| 240 | +- System info: `system_info.txt` |
| 241 | +
|
| 242 | +**Baseline Git Commit**: 74d58b0 |
| 243 | +
|
| 244 | +--- |
| 245 | +
|
| 246 | +## Critical Findings Summary |
| 247 | +
|
| 248 | +### ✅ Good Performance |
| 249 | +- Construction throughput: 9-11M ops/sec (reasonable) |
| 250 | +- Sequential data optimization: 3x faster (excellent cache behavior) |
| 251 | +- Memory efficiency: 23 bytes/element (near-optimal) |
| 252 | +- Single-threaded stability: Consistent across workloads |
| 253 | +
|
| 254 | +### ⚠️ Performance Issues |
| 255 | +
|
| 256 | +1. **CRITICAL: Parallel Scaling Broken** |
| 257 | + - 1.08x speedup with 4 threads (expected 3-4x) |
| 258 | + - Degrades beyond 8 threads |
| 259 | + - Top priority for Phase 7 |
| 260 | +
|
| 261 | +2. **Query Performance on Large Results** |
| 262 | + - Expected for linear scan benchmark |
| 263 | + - Real PRTree tree traversal will fix this |
| 264 | + - Monitor after full implementation |
| 265 | +
|
| 266 | +### 🎯 Optimization Targets |
| 267 | +
|
| 268 | +**Phase 1-6 Focus**: Code quality, safety, maintainability |
| 269 | +- Expected impact: 0-5% performance change |
| 270 | +- Goal: Enable Phase 7 optimizations safely |
| 271 | +
|
| 272 | +**Phase 7 Focus**: Data layout and cache optimization |
| 273 | +- Target: 3-4x parallel speedup |
| 274 | +- Target: 10-15% cache miss reduction |
| 275 | +- Target: Maintain <23 bytes/element memory usage |
| 276 | +
|
| 277 | +**Phase 8-9 Focus**: C++20 features and polish |
| 278 | +- Target: 5-10% additional performance |
| 279 | +- Target: Improved code clarity |
| 280 | +
|
| 281 | +--- |
| 282 | +
|
| 283 | +## Approvals |
| 284 | +
|
| 285 | +- **Engineer**: Claude (AI Assistant) - 2025-11-04 |
| 286 | +- **Analysis**: Complete with actual benchmark data |
| 287 | +- **Status**: ✅ BASELINE ESTABLISHED |
| 288 | +
|
| 289 | +--- |
| 290 | +
|
| 291 | +## References |
| 292 | +
|
| 293 | +- Construction results: `/tmp/construction_full.txt` |
| 294 | +- Query results: `/tmp/query_full.txt` |
| 295 | +- Parallel results: `/tmp/parallel_full.txt` |
| 296 | +- System info: `docs/baseline/system_info.txt` |
| 297 | +- Benchmark source: `benchmarks/*.cpp` |
| 298 | +
|
| 299 | +--- |
| 300 | +
|
| 301 | +## Next Steps |
| 302 | +
|
| 303 | +✅ **Phase 0 Status: COMPLETE** |
| 304 | +
|
| 305 | +Proceed to: |
| 306 | +1. **Phase 1**: Critical bugs + TSan infrastructure |
| 307 | +2. Re-run benchmarks after Phase 1 to detect any regressions |
| 308 | +3. Use this baseline for all future performance comparisons |
| 309 | +4. **Phase 7**: Address parallel scaling issue with empirical validation |
| 310 | +
|
| 311 | +**Go/No-Go Decision**: ✅ **GO** - Baseline established, proceed to Phase 1 |
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