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Description
Mpmath has an inverse erf. Maxima now has an inverse erf. We need it too.
It should be both symbolic and evaluated. !Function_Erf could be used as a model. Make sure to add it to the conversion list in sage.symbolic.pynac! (Which should be elsewhere in any case...)
See this ask.sagemath question for background.
Defect because Sage can't make sense of a Maxima result:
sage: var('z,t')
(z, t)
sage: PDF = exp(-x^2 /2)/sqrt(2*pi)
sage: integralExpr = integrate(PDF,x,z,oo).subs(z==log(t))
sage: y = solve(integralExpr==z,t)[0].rhs().subs(z==1/4)
sage: y
e^(sqrt(2)*inverse_erf(1/2))
sage: inverse_erf?
Object `inverse_erf` not found.
Depends on #21819
Component: symbolics
Keywords: erf inverse erfinv inverf
Author: Ralf Stephan
Branch/Commit: 2901da8
Reviewer: Travis Scrimshaw
Issue created by migration from https://trac.sagemath.org/ticket/11349