# Conditional κ = 0.00300105: Combine query thinning and helper retiming

> GitHub pull request improves computational efficiency by 11.7% in CrocSwap's integer bounds system.
- Title: Conditional κ = 0.00300105: Combine query thinning and helper…
- Summary: GitHub pull request improves computational efficiency by 11.7% in CrocSwap's integer bounds system. CrocSwap's new pull request reduces conditional kappa…
- Keywords: crocswap, integer-mult-bounds, conditional kappa, query thinning, helper retiming, github pull request, kappa 0.00300105, p17 query-thinned complex controller, paid query shears, native calls, technology, startups
- Source: GitHub — https://github.com/CrocSwap/integer-mult-bounds/pull/4441
- Read time: 1 min
- Topics: crocswap, integer-mult-bounds, conditional kappa, query thinning, helper retiming, github pull request, kappa 0.00300105, p17 query-thinned complex controller, paid query shears, native calls, technology, startups
## Pull Request #4441
GitHub pull request combines query thinning and helper retiming for CrocSwap's integer bounds system.

> Conditional κ = 0.00300105 (+4.105e-5 over #4440)
## Conditional κ Value
New conditional kappa 0.00300105 improves query efficiency by 11.7098% over previous version.

> 11.7098% over #4440's 0.00296
## Productive Fields
Independent productive fields stay at 11,560 after optimization.

> Independent productive fields stay 11,560
## Paid Calls Reduction
Paid calls fall from 72,902 to 69,273 saving 3,629 units.

> Paid calls fall 72,902 → 69,273
## Productive/Paid Rank
Productive/paid rank masses become 260,798 / 259,998 preserving surplus 800.

> Productive/paid rank masses become 260,798 / 259,998
## Native Unit Structure
Each full native unit uses exact 117-entrance, 42-exit, 395-scalar-frame patch.

> Each full native unit uses the exact 117-entrance, 42-exit, 395-scalar-frame patch
## Exact Interval Proof
Exact intervals prove 0.0030010541830 < fixed-profile root < 0.0030010541834.

> Exact intervals give 0.0030010541830 < fixed-profile root < 0.0030010541834
## Repaired Paid-Tail Limit
New moment requires repaired paid-tail limit gamma < 97/100 to maintain stability.

> The new moment requires a repaired paid-tail limit: gamma < 97/100
## Source Validation
Requested 20-minute frontier check found stronger #4440 during run with exact head 40e22a8.

> The requested 20-minute frontier check found the stronger #4440 during the run
## CI Status
Combined 50-file Git-free export replay passes with minimal navigation repair.

> The combined 50-file Git-free export replay passes
## Author-Checked Construction
Author-checked conditional construction awaits review with no new kappa claims.

> This is an author-checked conditional construction awaiting review
## Key takeaway

CrocSwap's new pull request reduces conditional kappa from 0.00296 to 0.00300105, improving query efficiency by 11.7% over previous version.