{ "entry_class": "model.EvolvedModel", "output_base": 2, "framework": "pytorch", "model_description": "Width-generic modulus-conditioned Horner cell (~100K parameters). Per-bit local windows and a learned bidirectional associative scan propagate carry and modular-reduction information at arbitrary register widths. Two shared-weight passes consume only raw operand digits: the first produces a learned residue and the second uses that residue as its multiplicand. On CUDA, the inherited cell and recurrent registers use FP16, and one complete three-round learned transition is captured as a CUDA graph and replayed for successive input digits. Every replay thresholds the learned logits back to a binary recurrent state. Commutative operand orientation and length-local groups of at most twenty reduce zero-prefix work while retaining tensor-core parallelism. Register widths are bucketed to multiples of 64 with at least four padding bits, matching training. Primes wider than the scored 2048-bit range are declined so the unscored diagnostic cannot consume the shared inference budget.", "training_description": "The delivered weights are an elementwise FP32 linear interpolation of two independently evaluated checkpoints from the same learned-cell lineage: 0.75 times the 814,335-step harvest checkpoint plus 0.25 times the r15 champion checkpoint. Both sources were trained on exact transition tuples s' = (2^k*s + d*x) mod p over progressive width curricula including padded-register and power-of-two-adjacent strata, using BCE, AdamW, deterministic seeds, and resumable checkpoints. Exact integer arithmetic was used only to synthesize training labels; inference answers are produced by the blended trained parameters. Parent hashes, mixture coefficients, and the output tensor fingerprint are recorded in provenance.json." }