Eliminating Memory-Bandwidth Bottlenecks and Numerical Overflows in Frontier AI Accelerators.
Automated graph pattern fusion, zero-overflow elementary reformulations, and strict double-sided saturation quantization for Tenstorrent, Triton, CUDA, and Apple Silicon MLX.
Frontier AI inference models (Llama 3, DeepSeek, Mistral) are heavily memory-bandwidth bound. In eager PyTorch or naive compiler backends:
-
DRAM Round-Trips: Chains of element-wise operators (
RMSNorm -> SiLU -> Mul) repeatedly read and write intermediate activations back to high-latency DRAM. -
Numerical Instability / Saturation Flaws:
-
logaddexpandlogaddexp2naive implementations evaluate$\log(\exp(a) + \exp(b))$ , overflowing to$\pm\infty$ at$|x| > 88.7$ . - Quantization kernels for
uint8often lack explicit lower-bound saturation, resulting in magnitude reflection bugs where negative numbers wrap to positive bytes.
-
| Feature | Naive Eager Baseline (PyTorch / Standard LLKs) | TensorForge Fused JIT | Performance / Safety Gain |
|---|---|---|---|
logaddexp Stability |
Overflows to inf at $ |
x | > 88.7$ |
uint8 Quantization Saturation |
Magnitude reflection on negative values | Strict |
Eliminates activation corruption in INT8/FP8 models |
| DRAM Memory Traffic | 9 round-trip tensor transfers (576 MB) | Single-pass SRAM fusion (128 MB) | 4.5x DRAM traffic reduction (77.8% bandwidth saved) |
| Roofline Optimization | Sub-optimal DRAM thrashing | Automated Roofline regime targeting | Maximum achievable arithmetic intensity |
tensor-forge/
├── tensor_forge/
│ ├── kernels/
│ │ ├── overflow_safe.py # Overflow-safe logaddexp, logaddexp2, and stable softmax
│ │ ├── quant_saturation.py # Double-sided saturated UINT8/INT8 quantize/requantize
│ │ └── fused_ops.py # Single-pass SRAM-resident RMSNorm + SwiGLU engine
│ ├── compiler/
│ │ ├── graph_fusion.py # Subgraph pattern matcher and operator fusion optimizer
│ │ └── memory_planner.py # Zero-allocation static SRAM scratchpad planner
│ └── benchmarks/
│ ├── roofline.py # Roofline model analyzer (H100, M3 Max, Blackhole)
│ └── memory_traffic.py # DRAM vs SRAM byte reduction benchmark
# Run unit tests
python3 -m unittest discover -s tests
# 1. Verify zero-overflow elementary operations
tensor-forge verify-overflow
# 2. Verify double-sided uint8 lower-bound saturation
tensor-forge verify-quant
# 3. Analyze Roofline Model on Tenstorrent Blackhole
tensor-forge roofline --hw tenstorrent_blackhole --flops 50000000 --bytes 1000000
# 4. Benchmark DRAM memory traffic reduction
tensor-forge memory-traffic --seq 4096 --dim 8192Apache-2.0 License. Authored by Ahmed Hassan (Founder, A2Z SOC).
For bespoke kernel fusion, hardware accelerator SDKs, and inference optimization retainers, contact: ahmed@a2zsoc.com.