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Take a complex unit common to a polynomial out before expanding it - #1937
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Rafael-SOWNet merged 4 commits intoOct 18, 2026
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…expanding A factor whose coefficients are one complex number times real ones, with any product of symbols common to them all, gives that number up before the complex-coefficient rule expands it: (i a + i a x^4)^3 is (i a)^3 (1 + x^4)^3. 1/(x^2 (i + i x^4)^3) expanded past the degree bound and was declined. And the root of a quotient of linears distributes a whole power of a quotient in the integrand it builds, which with a symbol in the linears came through as (-i (u^4 - 1)/(a (u^4 + 1)))^(-3) and was not read. 1/(e^((5/2) i arctan(a x)) x^3) and x^4 were left unevaluated (Rubi's 5.3.6:129 and :130). Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…arccotangent 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
…ommon-to-a-polynomial-goes-out
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Part of #718.
1/(e^(5/2 i arctan(a x)) x^3)(Rubi's 5.3.6) was left unevaluated. Written algebraically, it puts a power of a polynomial whose coefficients sharei,(i a + i a x^4)^3, below the bar. The rule for complex coefficients then expanded that power past the degree it reads.ACommonComplexUnit).The same change answers three rows of 7.4.2,
1/(e^(arccoth(a x)) (c - a^2 c x^2)^k)for k = 2, 3, 4. Master answers themNaN + C, and 2.5.0 left them unevaluated. The path on master that returnsNaN + Cis not removed here; these rows no longer reach it. k = 5 behaves the same:NaN + Con master, 1,409 characters here.0f8406691/(e^(5/2 i atan(a x)) x^3)1/(e^(5/2 i atan(a x)) x^4)1/(e^acoth(a x) (c - a^2 c x^2)^2)NaN + C)^3NaN + C)^4NaN + C)Measured:
iin them, plus the exponentials of atanh and acoth, branch against master53a0fa42, with the moved rows re-measured on0f840669. The five rows above are the only gains. The two other moves, 4.3.1.2:361 and 7.3.6:1174, behave the same on both arms re-run alone.AComplexUnitCommonToAPolynomialIntegralTest(5 rows) fails on master and passes here.BREAKING entry: A complex unit common to a polynomial's coefficients is taken out before it is expanded. The 2.5.0 column was measured on the
v2.5.0package.🤖 Generated with Claude Code
https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura