Each cell certifies one KernelBench elementwise kernel emitted through the BPD compiler to one backend, verified bit-identical (0 ULP) against the PyTorch oracle on real hardware. Green = certified from the deployed emitter, with provenance. The metered climb: pending → bronze → silver → gold. Gold = 0 ULP + fully robust. Silver = 0 ULP, robustness pending. Bronze = close (≤4 ULP). Grey = not yet measured. The PyTorch column is the reference baseline, not a kernel under test.
| Kernel | LLVM CPU | LLVM NVPTX | CUDA C | MLIR GPU | PyTorch | Rust/Oxide |
|---|---|---|---|---|---|---|
| ReLU | pending | 0 ULP ✓ | pending | pending | reference | pending |
| HardTanh | pending | 0 ULP ✓ | pending | pending | reference | pending |
| Softsign | pending | 0 ULP ✓ | pending | pending | reference | pending |
| LeakyReLU | pending | 0 ULP ✓ | pending | pending | reference | pending |
| Sigmoid | pending | 0 ULP ✓ | pending | pending | reference | pending |
| SiLU | pending | 0 ULP ✓ | pending | pending | reference | pending |
| Tanh | pending | 0 ULP ✓ | pending | pending | reference | pending |
| GELU | pending | 0 ULP ✓ | pending | pending | reference | pending |
| HardSigmoid | pending | 0 ULP ✓ | pending | pending | reference | pending |
| SELU | pending | 0 ULP ✓ | pending | pending | reference | pending |
| ELU | pending | 0 ULP ✓ | pending | pending | reference | pending |