FA-15500 / Numerics / Member archive
Hensel simple root lift: formal derivative evaluation · case 05
The exact hensel simple root lift result violates the stated contract at formal derivative evaluation.
Case contract
Input [coefficients,p,r,k], p prime, r root mod p with nonzero derivative, k>=1; return unique root mod p^k congruent r mod p.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | [39, 49] | [18, 49] | Failed |
MEMBER ARCHIVE
The complete case is available to members.
This record includes three runnable implementations, regression fixtures, execution results, and source hashes.
Member access is invitation-based. Sign in with your invited account to inspect the sources.
Sign in to the archive ↗