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Every linear beside a block is split off, a quadratic with rational roots among them - #1843

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Rafael-SOWNet merged 3 commits into
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several-linears-beside-a-block
Oct 11, 2026
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Rafael-SOWNet merged 3 commits into
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several-linears-beside-a-block

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Part of #718.

The split that writes N/(L^k B) as P/L^k + R/B at the root of a linear L took one linear only. The rest over the block was integrated a level down, where neither split answers. Two things change:

  • A second linear in the block is split off at the same level, kept only where its answer differentiates back.
  • With no linear written, a quadratic over the rationals with rational roots, such as 1 - x^2, is taken as its two linears.

Corpus, against master 3c86dda (a Rubi pocket of 14,446 problems, families 0–8 sampled):

solved wrong timeout
master 14,237 0 75
this branch 14,243 0 73

Seven problems moved. Re-run alone, master solved none of them. This branch solved 6 of the 7 (4.1.7:491, 492, 502 and 503; 4.5.7:537 and 538). The seventh, 4.1.7:286, stays unsolved on both. Every family file agrees between the two arms. The allocation gate and the suite (15,198 passed) are green.

The new answers run from 1,600 to 4,571 characters. Every row in the BREAKING-CHANGES entry was declined on 2.5.0.

🤖 Generated with Claude Code

https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura

Rafael-SOWNet and others added 3 commits October 10, 2026 10:37
…oots among them

Part of #718.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
@Rafael-SOWNet Rafael-SOWNet added this to the 2.6.0 milestone Oct 11, 2026
@Rafael-SOWNet
Rafael-SOWNet merged commit d675d8e into master Oct 11, 2026
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