# Trueno Roadmap (PMAT-Driven)
**Strategic Vision**: PyTorch/NumPy replacement for Rust with EXTREME TDD quality gates
**📖 Comprehensive Spec**: [PyTorch/NumPy Replacement Specification](docs/specifications/pytorch-numpy-replacement-spec.md)
---
## Current State: v0.2.2 (2025-11-18)
### Position Analysis
**NumPy Replacement**: ~35% Complete
- ✅ What Works: 1D ops, reductions, SIMD/GPU acceleration
- ❌ Critical Gaps: Multi-dim arrays, broadcasting, advanced indexing
**PyTorch Replacement**: ~15% Complete
- ✅ What Works: GPU activations (14 ops), inference only
- ❌ Critical Blockers: No autograd, no layers, no training capability
### Core Capabilities (v0.2.0)
```
✅ 1D Vector<f32> type
✅ CPU SIMD backends (SSE2/AVX/AVX2/NEON)
✅ GPU backend (wgpu: Vulkan/Metal/DX12/WebGPU)
✅ 14 GPU-accelerated operations
✅ Runtime dispatch (auto-select best backend)
✅ EXTREME TDD (>90% coverage, mutation testing)
```
**GPU Operations by Complexity**:
- **Low** (>100K threshold): vec_add, dot, relu, leaky_relu, elu, sigmoid, tanh, swish, GELU, clip
- **Medium** (>10K threshold): softmax, log_softmax
- **High** (>1K threshold): matmul, convolve2d
### Quality Metrics (Current)
```
Test Coverage: >90%
Mutation Testing: 80%+ kill rate
PMAT TDG Grade: A (92.1/100)
Repo Score: 90/110
GPU Speedup: ⚠️ Matmul ONLY 2-10x (13/14 ops slower, see analysis)
Total Tests: 889 tests (759 unit + 21 integration + 109 doc)
```
---
## Phase 1: Complete 1D Operations
**Timeline**: v0.2.x → v0.3.0 (2-3 months)
**Goal**: Best-in-class 1D vector compute
**Toyota Way**: *Jidoka* (完成 - Complete current work before starting new work)
### v0.2.1 (Next 2 Weeks) - CURRENT SPRINT
#### Deliverables
- [x] **GPU softmax/log_softmax** ✅ COMPLETE
- 5 WGSL shaders (max/sum reduction, exp-subtract, normalize, log_softmax)
- 4-pass multi-pass coordination (async/await)
- 18 tests pass (unit + property-based)
- Benchmarks: 10K, 100K, 1M sizes
- README documentation with examples
- Actual speedup: 2-20x over scalar
- [x] **Benchmark all GPU ops** ✅ COMPLETE - *Genchi Genbutsu* (現地現物 - Go see for yourself)
- Measured 40+ configurations across 14 operations (1K-1M elements)
- **CRITICAL FINDING**: GPU UNSUITABLE for 13/14 operations
- ✅ Matmul: 2-10x speedup (500×500+)
- ❌ All element-wise: 2-65,000x SLOWER (transfer overhead dominates)
- Root cause: 14-55ms fixed GPU overhead >> compute time
- Full analysis: [docs/performance-analysis.md](docs/performance-analysis.md)
- **Decision**: Disable GPU for element-wise ops, focus on SIMD
- [x] **Performance regression suite** ✅ COMPLETE
- Baseline saved: `.performance-baselines/baseline-current.txt`
- Framework: `.performance-baselines/README.md`, `baseline-template.json`
- Makefile targets: `bench-save-baseline`, `bench-compare`, `bench-gpu`
- **Status**: Infrastructure ready, CI integration pending
- [x] **Implement GPU strategic decision** ✅ COMPLETE
- Set GPU_THRESHOLD = usize::MAX for 10 activation functions
- Lowered matmul threshold: 1000 → 500 (empirical data)
- GPU now used ONLY for matmul ≥500×500 (2-10x speedup)
- All element-wise ops use scalar/SIMD only
- **Result**: Eliminated 2-65,000x slowdowns on activation functions
#### Quality Gates (v0.2.1)
```
Required for Release:
✅ All GPU ops benchmarked (validate claims)
✅ Performance regression suite in CI
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
✅ Zero clippy warnings
✅ PMAT TDG ≥B+ (85/100)
✅ Repo score ≥90/110
```
---
### v0.2.2 - v0.2.5 (6-8 Weeks)
**Strategy Pivot**: Focus on SIMD optimization (GPU unsuitable for element-wise ops)
#### Deliverables
- [x] **Remaining activations** (SIMD-optimized, NO GPU) ✅ **COMPLETE**
- ✅ hardswish (MobileNetV3) - commit 3130859
- ✅ mish (modern swish alternative) - commit 482737d
- ✅ selu (self-normalizing networks) - commit 94c12d0
- **Result**: 33 tests (18 unit + 15 property), all passing
- **Note**: GPU disabled per v0.2.1 analysis (was 800x slower)
- [x] **Scalar reductions implemented** ✅ **COMPLETE**
- ✅ argmax/argmin - working scalar implementations
- ✅ sum/mean/variance/stddev - working scalar implementations
- **Next**: SIMD optimization (parallel reduction + index tracking)
- **Success Criteria**: SIMD speedup ≥2-4x vs scalar (benchmark needed)
- [x] **Scalar unary ops implemented** ✅ **COMPLETE**
- ✅ exp/ln/log2/log10/pow/sqrt - all working scalar implementations
- **Next**: SIMD optimization (vectorized math functions)
- **Success Criteria**: SIMD speedup ≥2-4x vs scalar (benchmark needed)
- **Note**: GPU disabled (transfer overhead dominates)
- [x] **Performance regression CI** ✅ **COMPLETE**
- ✅ Created `scripts/check_regression.py` (parses Criterion output)
- ✅ Updated `make bench-compare` to use script
- ✅ Integrated into CI workflow (`.github/workflows/ci.yml`)
- **Success Criteria**: Detect >5% regressions automatically
- [x] **SIMD optimization: norm_linf** ✅ **COMPLETE** - *Kaizen* (改善 - Quick wins first)
- ✅ Eliminated temporary vector allocation (13-43% scalar speedup)
- ✅ Single-pass AVX2 abs+max (8-way parallel, bitwise AND + max)
- ✅ Single-pass SSE2 abs+max (4-way parallel)
- ✅ Horizontal reduction with 128-bit halves extraction
- **Result**: 1.1-3.2x total speedup across all sizes
- **Benchmarks**: 100 elem 3.2x, 1K 3.0x, 10K 2.1x, 100K 2.1x
- **Next**: Continue SIMD optimization for other reduction ops
#### Quality Gates (v0.2.2-v0.2.5)
```
Required for Each Release:
✅ EXTREME TDD cycle for each operation:
- Implementation → Tests → Benchmarks → Documentation
✅ Gradient checking (prepare for Phase 3 autograd)
✅ Backend equivalence: SIMD vs Scalar (< 1e-5 error)
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
✅ No performance regressions >5%
```
---
### v0.3.0: 1D Operations Complete (Milestone)
**Target**: NumPy ~40%, PyTorch ~18%
#### Deliverables
- [ ] **Async GPU API** - *Kaizen* (改善 - Continuous improvement)
- Batch multiple operations to reduce transfer overhead
- Async execution with futures
- **Success Criteria**: 2x fewer GPU transfers for chained ops
- [ ] **CPU backend optimizations**
- AVX-512 support (Zen4/Sapphire Rapids+)
- Better auto-vectorization hints
- **Success Criteria**: 8x speedup over scalar (AVX-512)
- [x] **WASM SIMD128** ✅ **COMPLETE**
- Browser deployment support
- SIMD implementations for all VectorBackend operations:
- Element-wise: add, sub, mul, div, abs, scale, clamp
- Reductions: sum, max, min, argmax, argmin, dot, norm_l1, norm_l2, norm_linf
- Activations: relu, exp, sigmoid, gelu, swish, tanh (with SIMD exp approximation)
- Interpolation: lerp, fma
- **Success Criteria**: 2x speedup over scalar (WASM) ✅ Achieved via SIMD128
- [ ] **Comprehensive benchmarks**
- vs NumPy (for 1D ops)
- vs PyTorch (for activations)
- Publish results in README
- **Success Criteria**: Within 20% of NumPy/PyTorch for 1D ops
#### Success Metrics (v0.3.0 Phase Gate)
```
Technical:
✅ All common 1D operations GPU-accelerated (20+ ops)
✅ 10-50x GPU speedup validated by benchmarks
✅ Async GPU API reduces transfer overhead by 2x
✅ AVX-512 backend: 8x speedup over scalar
✅ WASM SIMD128: 2x speedup over scalar
Quality:
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
✅ PMAT TDG ≥A- (92/100)
✅ Repo score ≥95/110
Adoption:
✅ Used in production by ≥3 projects
✅ ≥100 GitHub stars
✅ ≥10 contributors
```
**🚨 Phase Gate Decision Point**: Proceed to Phase 2 only if ALL success metrics achieved
---
## Phase 2: Multi-Dimensional Tensors
**Timeline**: v0.4.0 → v0.6.0 (6-12 months)
**Goal**: NumPy-competitive for 2D/3D arrays
**Toyota Way**: *Heijunka* (平準化 - Level loading - balance implementation with validation)
### v0.4.0: Tensor Type Foundation (3-4 Months)
**Target**: NumPy ~50%, PyTorch ~20%
#### Deliverables
- [ ] **`Tensor<T, const N: usize>` type**
- Const generics for rank (compile-time safety)
- Row-major storage (C-contiguous, NumPy-compatible)
- Strides-based layout (zero-copy transpose)
- Views vs owned data (Arc-based sharing)
- **Success Criteria**: Represent 0D-4D tensors with compile-time rank verification
- [ ] **2D operations**
- Transpose (zero-copy via stride swap)
- Reshape, flatten
- Row/column slicing
- Optimized 2D matmul (GPU-accelerated)
- **Success Criteria**: 80-120% of NumPy speed for 2D ops
- [ ] **Storage design validation** - *Genchi Genbutsu*
- Benchmark row-major vs column-major layouts
- Validate zero-copy transpose performance
- **Success Criteria**: Zero-copy transpose 100x faster than data reorganization
#### Quality Gates (v0.4.0)
```
Required:
✅ Differential testing: All ops vs NumPy (< 1e-5 error)
✅ Property-based tests: Shape transformations
✅ Backend equivalence: GPU vs CPU for 2D ops
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
✅ PMAT TDG ≥A- (92/100)
Design Validation:
✅ Const generics enable compile-time shape checking
✅ Strides enable zero-copy operations
✅ Memory layout optimized for BLAS/GPU performance
```
---
### v0.5.0: Broadcasting (2-3 Months)
**Target**: NumPy ~65%, PyTorch ~20%
#### Deliverables
- [ ] **NumPy-compatible broadcasting**
- Shape compatibility checking
- Fused GPU kernels (avoid materializing intermediates)
- Element-wise ops with broadcasting
- **Success Criteria**: Pass 80%+ of NumPy broadcasting tests
- [ ] **Advanced indexing**
- Boolean masking
- Integer array indexing
- Slicing syntax (`[1:5, ::2]` via macro)
- **Success Criteria**: NumPy-style indexing ergonomics
#### Quality Gates (v0.5.0)
```
Required - Jidoka (Build Quality In):
✅ Property-based testing vs NumPy (differential testing)
✅ Fused broadcasting kernels (zero intermediate allocation)
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
Broadcasting Validation:
✅ Matches NumPy broadcasting semantics exactly
✅ Fused kernels 2x faster than naive implementation
✅ No memory overhead for broadcasted operations
```
---
### v0.6.0: NumPy Parity (3-4 Months)
**Target**: NumPy ~80%, PyTorch ~20% (Milestone)
#### Deliverables
- [ ] **Generic dtype support**
- f16, f32, f64, i32, i64, u32, etc.
- Trait-based implementation
- **Success Criteria**: Support 10+ data types
- [ ] **NumPy-style API**
- Creation: zeros, ones, arange, linspace
- Manipulation: concatenate, stack, split
- Conditional: where, argwhere
- **Success Criteria**: 80%+ API coverage for core operations
- [ ] **NumPy test suite validation** - *Genchi Genbutsu*
- Run NumPy test suite against Trueno
- **Success Criteria**: Pass 80%+ of NumPy tests (for covered ops)
#### Success Metrics (v0.6.0 Phase Gate)
```
Technical:
✅ 80-120% of NumPy performance (within 20%)
✅ Support 0D-4D tensors, 10+ data types
✅ Broadcasting with fused GPU kernels
✅ Pass 80%+ of NumPy test suite (covered ops)
Quality:
✅ Differential testing: All ops vs NumPy
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
✅ PMAT TDG ≥A (94/100)
✅ Repo score ≥100/110
Adoption:
✅ ≥10 production deployments
✅ ≥500 GitHub stars
✅ ≥50 contributors
```
**🚨 Phase Gate Decision Point**: Proceed to Phase 3 only if ALL success metrics achieved
---
## Phase 3: Autograd & Training
**Timeline**: v0.7.0 → v1.0.0 (12-18 months)
**Goal**: PyTorch-competitive for training
**Toyota Way**: *Jidoka* (自働化 - Automation with human touch - halt on defects)
### v0.7.0: Autograd Engine (4-6 Months)
**Target**: NumPy ~80%, PyTorch ~35%
#### Deliverables
- [ ] **Reverse-mode AD engine**
- Dynamic graph construction (PyTorch-style)
- Gradient tape with backward functions
- **Success Criteria**: Compute gradients for all operations
- [ ] **Gradient checking** - *Jidoka* (CRITICAL QUALITY GATE)
- Automatic verification: analytical vs numerical gradients
- Required for EVERY operation with autograd
- **Success Criteria**: All gradients match numerical within 1e-4
- [ ] **Core ops with gradients**
- All element-wise ops (add, mul, exp, log, etc.)
- Reductions (sum, mean, max)
- Linear algebra (matmul, conv2d)
- All 14+ activations
- **Success Criteria**: Gradients match PyTorch (< 1e-5 error)
- [ ] **Memory optimization**
- Gradient checkpointing
- In-place operations where safe
- **Success Criteria**: Train 50-layer network without OOM
#### Quality Gates (v0.7.0)
```
Required - HALT THE LINE ON GRADIENT BUGS:
✅ Gradient checking: EVERY operation (automated)
✅ Differential testing: Gradients vs PyTorch (< 1e-5 error)
✅ Property-based tests: Chain rule, linearity
✅ Fuzz testing: Gradient computation robustness
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
Autograd Validation:
✅ No silent gradient failures
✅ Backward pass matches PyTorch exactly
✅ Memory-efficient (gradient checkpointing works)
```
---
### v0.8.0: Neural Network Layers (3-4 Months)
**Target**: NumPy ~80%, PyTorch ~50%
#### Deliverables
- [ ] **nn::Module trait**
- Parameter tracking
- Forward/backward hooks
- **Success Criteria**: Ergonomic layer composition
- [ ] **Core layers**
- Linear, Conv2d, MaxPool2d
- BatchNorm, LayerNorm
- Dropout
- **Success Criteria**: Match PyTorch API ergonomics
- [ ] **Loss functions**
- CrossEntropyLoss, MSELoss, BCELoss
- **Success Criteria**: Numerical match with PyTorch
#### Quality Gates (v0.8.0)
```
Required:
✅ Differential testing: All layers vs PyTorch
✅ Gradient checking: All layers
✅ Can build ResNet-18, BERT-base
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
```
---
### v0.9.0: Optimizers (2-3 Months)
**Target**: NumPy ~80%, PyTorch ~55%
#### Deliverables
- [ ] **Core optimizers**
- SGD (momentum, Nesterov)
- Adam (weight decay, AMSGrad)
- AdamW, RMSprop
- **Success Criteria**: Match PyTorch update rules exactly
- [ ] **Learning rate schedulers**
- StepLR, ExponentialLR, CosineAnnealing
- **Success Criteria**: Match PyTorch scheduling exactly
#### Quality Gates (v0.9.0)
```
Required:
✅ Differential testing: Optimizer updates vs PyTorch
✅ Can train ResNet-50 to convergence
✅ Learning curves match PyTorch
✅ Test coverage ≥90%
```
---
### v1.0.0: Training-Ready (3-4 Months) - MAJOR MILESTONE
**Target**: NumPy ~80%, PyTorch ~60%
#### Deliverables
- [ ] **Model serialization**
- Save/load checkpoints (state_dict)
- ONNX export
- **Success Criteria**: Load PyTorch weights, export to ONNX
- [ ] **Distributed training**
- Data parallelism
- Gradient synchronization (AllReduce)
- **Success Criteria**: Linear scaling to 4 GPUs
- [ ] **Production features**
- Mixed precision (FP16/BF16)
- Gradient clipping
- Early stopping
- **Success Criteria**: Train production models end-to-end
- [ ] **Model hub** - Combat ecosystem lock-in
- ResNet-{18,34,50}, BERT-base, MobileNetV2
- Pretrained weights (converted from PyTorch)
- **Success Criteria**: Transfer learning in 5 lines of code
#### Success Metrics (v1.0.0 - Production Ready)
```
Technical:
✅ Train ResNet-50 on CIFAR-10 in <30 minutes (single GPU)
✅ 60-80% of PyTorch training speed (within 20-40%)
✅ Autograd matches PyTorch (< 1e-5 gradient error)
✅ Can load PyTorch weights, export ONNX
✅ Distributed training: linear scaling to 4 GPUs
Quality:
✅ Gradient checking: 100% of autograd ops
✅ Differential testing: All ops vs PyTorch
✅ Fuzz testing: Model loading, serialization
✅ Test coverage ≥90%
✅ Mutation testing ≥80%
✅ PMAT TDG ≥A (94/100)
✅ Repo score ≥105/110
Adoption:
✅ Used in production ML training pipelines
✅ ≥1,000 GitHub stars
✅ ≥100 contributors
✅ Featured in Rust ML blog posts/talks
Ecosystem:
✅ Model hub with ≥10 pretrained models
✅ Full MNIST/CIFAR-10/ImageNet examples
✅ Transfer learning tutorials
```
**🚨 v1.0 Release Gate**: ALL metrics must pass. No exceptions.
---
## Phase 4: Production Ecosystem (v1.x)
**Timeline**: 18-24 months post-v1.0
**Goal**: Production-grade ecosystem
### Future Directions
- **Ruchy Integration**: Auto-transpile NumPy/PyTorch → Trueno
- **ruchy-lambda**: Optimized AWS Lambda deployment
- **TVM/MLIR Compiler**: Auto-optimized GPU kernels (match cuDNN)
- **Advanced Training**: Quantization, pruning, mixed precision
- **Extended Model Hub**: 100+ pretrained models
---
## Toyota Way Principles Integration
### Jidoka (自働化 - Automation with Human Touch)
**"Stop the line on defects"**
```
Quality Gates HALT progress if violated:
- Test coverage drops below 90%
- Mutation testing drops below 80%
- PMAT TDG drops below target
- Gradient checking fails
- Performance regression >5%
Action: Fix immediately before proceeding
```
### Kaizen (改善 - Continuous Improvement)
**"1% better every day"**
```
Every commit:
- Benchmark performance (detect regressions)
- Measure coverage (prevent degradation)
- Profile memory (identify leaks)
- Document learnings (prevent regression)
Every sprint:
- Retrospective: What can improve?
- Refactor: Pay down technical debt
- Optimize: Benchmark-driven improvements
```
### Genchi Genbutsu (現地現物 - Go See For Yourself)
**"Measure reality, don't assume"**
```
Before claiming:
- Benchmark actual performance (not estimates)
- Differential test vs NumPy/PyTorch (not unit tests alone)
- Profile real workloads (not synthetic microbenchmarks)
- Validate with production use cases (not toy examples)
Data-driven decisions only
```
### Heijunka (平準化 - Level Loading)
**"Balance implementation with validation"**
```
Every phase:
- 60% implementation
- 40% validation (testing, benchmarking, docs)
Avoid:
- Implementation debt (code without tests)
- Documentation debt (features without docs)
- Performance debt (unvalidated speedup claims)
```
---
## EXTREME TDD Standards (All Phases)
**Framework**: Certeza Tiered Workflow (97.7% mutation score proof)
**Reference**: [Spec §13: Tiered TDD-X Workflow](docs/specifications/pytorch-numpy-replacement-spec.md#13-tiered-tdd-x-workflow--quality-gates-certeza-insights)
### Tier 1: ON-SAVE (Sub-second feedback)
**Purpose**: Rapid iteration in flow state, catch obvious errors fast
```bash
make tier1 # Target: <1 second execution
```
```
✅ Type checking (cargo check)
✅ Linting (cargo clippy --lib -D warnings)
✅ Unit tests - focused (cargo test --lib <module>)
✅ Property tests - small cases (PROPTEST_CASES=10)
```
**Anti-Pattern** ❌: Running full test suite, mutation testing, or benchmarks on every save (destroys flow state, 10-100x productivity loss)
### Tier 2: ON-COMMIT (1-5 minutes)
**Purpose**: Comprehensive validation before committing, prevent regressions
```bash
make tier2 # Target: <5 minutes execution
```
```
✅ Formatted (cargo fmt -- --check)
✅ Full clippy (cargo clippy --all-targets --all-features -D warnings)
✅ All tests pass (cargo test --all-features)
✅ Coverage ≥90% (cargo llvm-cov --fail-under-lines 90)
✅ Property tests - full (PROPTEST_CASES=256-1000)
✅ Backend equivalence tests (GPU vs SIMD vs Scalar)
✅ Differential tests (vs NumPy/PyTorch) [Phase 2+]
✅ Gradient checking (vs numerical) [Phase 3+]
✅ PMAT TDG ≥B+ (pmat analyze tdg --min-grade B+)
✅ Zero SATD comments (TODO/FIXME/HACK)
```
**Pre-commit hook**: Enforces Tier 2 quality gates (fail commit if violations)
### Tier 3: ON-MERGE/NIGHTLY (Hours)
**Purpose**: Test quality assurance, performance validation, release readiness
```bash
make tier3 # Target: <2 hours execution
```
```
✅ Mutation testing ≥80% (cargo mutants --minimum-pass-rate 80)
✅ Benchmarks - full suite (cargo bench --all-features)
✅ Performance regression suite (no >5% regressions)
✅ Security audit (cargo audit && cargo deny check)
✅ Integration tests (end-to-end workflows)
✅ Formal verification [critical paths only] (cargo kani)
✅ PMAT repo score ≥90 (pmat repo-score . --min-score 90)
```
**CI/CD Gate**: Tier 3 must pass before merge to main
### Required for Every Feature
```
✅ Unit tests (correctness, edge cases)
✅ Property-based tests (mathematical properties, commutativity, etc.)
✅ Backend equivalence tests (all backends produce identical results)
✅ Differential tests (vs NumPy/PyTorch, error < 1e-5) [Phase 2+]
✅ Gradient checking (analytical vs numerical) [Phase 3+]
✅ Benchmarks (validate performance claims, prove ≥10% speedup)
✅ Documentation (rustdoc + README examples)
```
**Testing Pyramid Distribution** (Certeza model):
- **60%**: Unit tests (basic functionality)
- **30%**: Property-based tests (algorithmic correctness)
- **10%**: Integration tests (end-to-end workflows)
- **1-5%**: Formal verification (critical invariants)
### Required for Every Release
```
✅ All Tier 3 gates pass
✅ Changelog updated (keep-a-changelog format)
✅ Version bumped (semver)
✅ Git tag created (vX.Y.Z)
✅ Performance benchmarks published
✅ Migration guide updated (if breaking changes)
```
---
## Non-Goals
**What Trueno Will NOT Be:**
- ❌ **100% PyTorch-compatible** - Inspired by, not clone of (focus on 80% use cases)
- ❌ **Research-first** - Production performance is priority (battle-tested over cutting-edge)
- ❌ **Python-first** - Rust-native (Python bindings secondary via PyO3)
- ❌ **Dynamic typing** - Static typing for safety (compile-time shape checking)
- ❌ **Symbolic computation** - Eager execution only (simple mental model)
---
## Current Focus (2025-11-18)
### Active Sprint: v0.2.2 → v0.3.0
✅ **COMPLETE (v0.2.2 - Released 2025-11-18)**:
- **CRITICAL FIX**: Missing abs() SIMD implementation (Issue #2) - unblocked downstream projects
- **SIMD Optimization**: argmax/argmin (2.8-3.1x speedup with SIMD index tracking)
- **Performance Analysis**: Documented memory-bound vs compute-bound patterns for 7+ operations
- Compute-bound (4-12x SIMD benefit): min, argmax/argmin, norm_l1, norm_l2, dot, sum
- Memory-bound (~1x SIMD benefit): sub, div, fma, scale, abs
- **Documentation**: Fixed broken links, comprehensive CHANGELOG
- **Quality**: TDG score 92.1/100 (A), 889 tests passing, zero clippy warnings
- **Release**: Published to crates.io, GitHub release created, Issue #2 closed
**COMPLETED** ✅:
- **SIMD Transcendental Functions** (*Genchi Genbutsu* - Empirical validation complete)
- ✅ exp() with range reduction (AVX2 + SSE2 backends)
- ✅ sigmoid uses SIMD exp(-x) internally
- ✅ tanh uses SIMD exp(2x) internally
- ✅ gelu uses SIMD tanh → exp internally
- ✅ swish uses SIMD sigmoid → exp internally
- **Performance**: SSE2 provides 1.6-1.9x speedup over scalar
- **Accuracy**: Relative error < 1e-5 for all inputs ✅
- **Tests**: Backend equivalence tests passing ✅
- **Benchmarks**: Comprehensive performance analysis complete
- **Status**: Production-ready, used in all activation functions
- **Documentation**: See `benchmarks/EXP_BENCHMARK_RESULTS.md`
- **Timeline**: Already implemented (discovered 2025-11-20)
- **Value**: Eliminated duplicate work, validated existing implementation
**EXPLORED & DEFERRED**:
- **SIMD sigmoid** (*Hansei* - Learning from failed attempt) → **NOW COMPLETE** ✅
- Previous status: Attempted polynomial exp() approximation (4th/6th order Taylor series)
- Previous issue: Taylor series diverges for |x| > 2 (symmetry tests failed)
- **RESOLUTION**: Full range reduction implementation already exists!
- Range reduction: `exp(x) = 2^n * 2^r` where n=integer, r∈[0,1)
- Implementation: 6th-order polynomial with Cephes coefficients
- Location: `src/backends/avx2.rs:750`, `src/backends/sse2.rs:739`
**Next Actions** (Priority Order):
1. **SIMD Transcendental Functions** → ✅ **COMPLETE** (2025-11-20)
- ✅ Range reduction implemented for exp()
- ✅ Applied to sigmoid, gelu, swish, tanh
- ✅ **Success Criteria Met**: 1.6-1.9x speedup, all tests pass
- ✅ Backend equivalence tests added (AVX2 + SSE2)
- ✅ Benchmark analysis complete
- **Actual Timeline**: Already implemented, discovered during research
- **Outcome**: Production-ready, no further work needed
2. **Alternative SIMD Targets** (*Kaizen* - Quick wins first) ✅ **COMPLETE**
- ✅ Horizontal reduction optimization (dot, sum, max, min, norm_l1, norm_linf)
- Replaced _mm_hadd_ps/array extraction with movehl_ps/shuffle_ps pattern
- Applied to both AVX2 and SSE2 backends
- ✅ argmax/argmin index vector optimization (AVX2: 14-17% speedup)
- Replaced per-iteration _mm256_set_ps with incremental _mm256_add_ps
- ✅ SSE2 argmax/argmin SIMD index tracking
- Eliminated O(n) scalar loop with SIMD blend emulation
- **Result**: All horizontal reductions now use consistent optimized patterns
- **Timeline**: Completed in single session
3. **WASM SIMD128 backend**
- Browser deployment support
- **Success Criteria**: 2x speedup over scalar
- **Timeline**: 2 weeks
**Quality Gate Status**:
```
Current: All metrics GREEN ✅
TDG: A (92.1/100)
Tests: 873 passing (all green ✅) [+13 from coverage work]
Coverage: 93.25% overall (GPU excluded) ✅
- Trueno library: 93.80% ✅
- AVX512: 91.27% ✅
- AVX2: 93.86% ✅
- SSE2: 90.99% ✅
- Scalar: 98.74% ✅
Clippy: 0 warnings ✅
Release: v0.4.1
Next: WASM SIMD128 backend OR AVX512 SIMD optimizations (scale/abs/clamp/lerp/fma)
```
---
**Last Updated**: 2025-11-20 (Coverage improvements session complete)
**Methodology**: PMAT + EXTREME TDD + Toyota Way + **Certeza Tiered Workflow**
**Owner**: Trueno Core Team
**Specification**: [PyTorch/NumPy Replacement Spec v1.2](docs/specifications/pytorch-numpy-replacement-spec.md) (with certeza insights)