+0.5776 bpb
Uniform HRR's validation result relative to softmax; lower was better.
A public CPU/enwik8 execution independently verified the Holo HRR T=512 three-arm implementation. Both HRR variants ran successfully, but neither beat softmax in validation quality or speed.
Recovered · corpus proxy
The frozen public checkout completed 1,500 training steps for softmax, uniform HRR, and gated HRR under one seed and one public enwik8 split. The recovery verifier matched the captured result, source commit, source-file hashes, dataset hash, frozen configuration, and CPU device before ilXyr recorded evidence.
The scientific comparison is descriptive rather than a promotion gate: lower bits per byte and lower step time both favored softmax.
| Arm | Parameters | Validation bits/byte | Median ms/step | Tokens/sec |
|---|---|---|---|---|
| Softmax | 4.330M | 2.9731 | 192.99 | 42,448 |
| Uniform HRR | 4.068M | 3.5507 | 226.95 | 36,096 |
| Gated HRR | 4.069M | 3.3308 | 296.08 | 27,668 |
Uniform HRR's validation result relative to softmax; lower was better.
Gated HRR's validation result relative to softmax.
Uniform and gated training speed relative to softmax.
All three arms finished and emitted metrics, checkpoints, a transcript, and a captured result under the frozen v2 experiment.
The wrapper added an unsupported top-level field. ilXyr retained the run but did not convert malformed output into settled evidence.
A separate v3 verifier checked the captured result and provenance without rerunning training or changing parameters, then emitted a valid envelope.
| Stage | Forecaster | Probability on successful stage outcome | Settlement |
|---|---|---|---|
| Before training | Mechanistic | 96% completed | Not settled after invalid envelope |
| Before training | Empirical | 90% completed | Not settled after invalid envelope |
| Before recovery | Mechanistic | 98% recovered | Brier 0.0006 |
| Before recovery | Empirical | 97% recovered | Brier 0.0014 |
The recovery forecasts concern deterministic artifact verification after the training result existed. They are not forecasts that HRR would beat softmax.
The public summary carries source, dataset, result, checkpoint, ledger, and event hashes without exposing raw executor output or workstation paths. The three retained checkpoints total about 48 MB and are deliberately not served by GitHub Pages.
Read the machine-readable evidence →
Inspect the frozen upstream source →