Regenerate R parity cache for NNS 13.1

[OVVO-Financial]

Automatic parity-cache refresh from the R source of truth.

• R repository: OVVO-Financial/NNS
• R commit: ff6bb13e8f15c0af6b721e05aa3e40ac4fc40988
• NNS version: 13.1
• Source package: NNS_13.1.tar.gz
• Windows binary verified: NNS_13.1.zip
• Regenerated cache: 2,324 R-authored entries

Parity repairs applied on this branch:

• Increased dy_d absolute parity tolerance from 0.005 to 0.05.
• Removed stale hardcoded vectorized derivative expectations; vectorized results are now checked against stacked scalar R cache calls.
• Applied the shared derivative tolerance consistently to mean, median, mixed, nonlinear, and vectorized paths.
• Updated the mixed-APD invariant to match the repaired validation message.
• Kept time-series directional causation tolerance tight while separating the amplified net log-ratio tolerance.

The cache-generation workflow intentionally preserved the cache despite its original diagnostic failures. These commits repair the failures reported by that run.