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Integrate four shapes: powers of exponentials of one rate, a polynomial over a power of a linear beside a logarithm, and two roots over a quartic's root - #2025

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Part of #233.

Four shapes, one test class and one BREAKING-CHANGES entry each:

  1. Two powers of exponentials with one logarithmic derivative, read as multiples of one exponential. Rubi's 2.3:28, (a + b (F^(e (c + d x)))^n)^p (G^(h (f + g x)))^(d e n ln F/(g h ln G)).
  2. A polynomial over a power of a linear beside a + b ln(c x^n), by parts against its antiderivative vanishing at zero: 3.1.4:78.
  3. A root over the root of the quartic inside it, beside a power of a linear, split over the quartic's factors: 1.3.2:1224 and 1225.
  4. A linear over the root of a quartic whose symbols are a scale of x, in the scaled variable: 1.3.2:1358.

Chain against master f7f2a7a, with the harness at its current revision on both arms:

  • pocket of 664 rows: 630 → 635 solved, 0 wrong;
  • samples: unchanged, except family 3's, 222 → 223;
  • no row's allocation grew past 1.3×.

The five rows that moved, alone:

row master f7f2a7a this
2.3:28 declined after 21.9 s, 12.7 GB 0.16 s
3.1.4:78 22.9 s, 26.7 GB 0.15 s, 0.04 GB
1.3.2:1224, 1225, 1358 declined 0.3–0.7 s

The entries' "Now" lengths are re-measured on this build after the rebase; several came out shorter than when the branch was written. 28 tests pass locally across the four classes and the corpus gate.

🤖 Generated with Claude Code

https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura

…al over a power of a linear beside a logarithm, and two roots over a quartic's root

- Two powers of exponentials with one logarithmic derivative are read as
  multiples of one exponential: Rubi's 2.3:28,
  (a + b (F^(e (c + d x)))^n)^p (G^(h (f + g x)))^(d e n ln F/(g h ln G)).
- A polynomial over a power of a linear beside a + b ln(c x^n), by parts
  against its antiderivative vanishing at zero: 3.1.4:78.
- A root over the root of the quartic inside it, beside a power of a linear,
  split over the quartic's factors: 1.3.2:1224, 1225.
- A linear over the root of a quartic whose symbols are a scale of x, in the
  scaled variable: 1.3.2:1358.

Chain against master f7f2a7a: pocket of 664 rows, 630 -> 635 solved,
0 wrong; samples unchanged but family 3's, 222 -> 223; the 5 rows that
moved, alone, 1 -> 5 solved: 2.3:28 declined after 22 s and 12.7 GB there
and answered in 0.16 s, 3.1.4:78 26.7 GB -> 0.04 GB; no row's allocation
grew past 1.3x.

Part of #233.

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 21, 2026
@Rafael-SOWNet
Rafael-SOWNet merged commit 1cb6991 into master Oct 21, 2026
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@github-project-automation github-project-automation Bot moved this from Todo to Done in AngouriMath Oct 21, 2026
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