Two hands, and a firewall between them.
Most engineering-AI systems let the same model that proposes a design also score it. That is how mirages ship. PIE splits the two roles at the architecture level and forbids either side from crossing.
The generative half
Evolutionary search proposes geometry: CPPN networks, field-lattices, L-systems, hybrid genomes, MAP-Elites archives. Neural surrogates and LLMs may suggest and route — a 968,761-theorem semantic math shelf and cited engineering references feed inspiration — but nothing on this side can promote a candidate.
Authority policy, enforced in code, not in a style guide:
physics_gates_promote | true |
request_text_promotes | false |
scouts_promote | false |
llm_narration_promotes | false |
surrogate_screening | observe_only |
The verification half
Real solvers certify: CalculiX finite-element analysis (static and eigenfrequency) on Gmsh tetrahedral meshes, D3Q19 lattice-Boltzmann pore flow, and in-house cores that are themselves benchmark-validated —
- the 2D structural core matches an external topology-optimization reference within 1.66% recompute-verified
- the in-house hydraulic solver matches real EPANET within 0.0143 m across the published Hanoi network, and PIE's evolved Hanoi design lands within +0.269% of the best-known published cost recompute-verified
The evidence-tier ladder
Every number PIE produces carries a tier, and the tier caps the claim:
| Tier | What it is | What it may claim |
|---|---|---|
| analytical_proxy | Fast in-loop screening models that drive the search | Advisory only. Never published as a result. |
| regime_specific_solver | Validated in-house physics cores | Claim-grade within their benchmarked regime |
| validated_sidecar | CalculiX / Gmsh on the real geometry | Claim-grade. |
A proxy may drive the search. Only the real solver's numbers may be claimed. When the two disagree, the proxy is wrong by definition — and the disagreement itself is measured and recorded. See what that looks like in practice.
The pipeline
| GENERATOR | CPPN / field-lattice / hybrid genomes propose candidates |
| FIREWALL | suggestion may pass down; judgment may never pass up |
| SOLVERS | CalculiX + Gmsh + LBM + validated cores evaluate every declared load case |
| HARD GATES | worst case governs; every gate proven able to fail before the run counts |
| LEDGER | append-only, content-addressed record of every certification — passes and failures |