simplify_rational() takes very long or forever for some complex exponential expressions

[sagetrac-gansmann]

For some sums of exponential functions with complex arguments, simplify_rational() takes very long or is caught in an infinite loop (it did not finish in 40 minutes).

 (e^(8/5*I*pi) + e^(4/5*I*pi)).simplify_rational()

Component: symbolics

Keywords: simplify symbolics exponentials

Issue created by migration from https://trac.sagemath.org/ticket/16724

[rwst]

comment:2

This is no longer the case because Pynac automatically expands many trigonometric expressions with rational multiples of pi, before the expression is handed to Maxima.

sage: e^(8/5*I*pi) + e^(4/5*I*pi)
-1/4*I*sqrt(2*sqrt(5) + 10) + 1/4*I*sqrt(-2*sqrt(5) + 10) - 1/2

[bgrenet]

comment:3

Tested here too.

[embray]

comment:4

Determined to be invalid/duplicate/wontfix (closing as "wontfix" as a catch-all resolution).