Dear Paul,
Today has been publishied the official report for the DST change for Chile, includes rules until May of 2019
http://www.diariooficial.interior.gob.cl/media/2016/03/18/do-20160318.pdf
Rules:
GMT --04 : Starts at second Saturday of May at 24:00 Hrs
GMT --03 : Starts at second Saturday of August at 24:00 Hrs (Summer Time)
Saludos

De: "Paul Eggert" <eggert@cs.ucla.edu>
Para: "Tim Parenti" <tim@timtimeonline.com>
CC: "Time Zone Mailing List" <tz@iana.org>
Enviados: Jueves, 17 de Marzo 2016 18:17:19
Asunto: Re: [tz] Chile goes back to DST (...)
On 03/14/2016 10:37 PM, Tim Parenti wrote:
> This seems to forget Antarctica/Palmer, which (in the absence of
> contrary evidence) would presumably observe the same changes. Further
> patch 0002 attached.
>
> (Re-sent 0001 also fixes a small typo in Paul's commit message.)
Thanks for catching those problems. I forgot to push my incorrect Chile
change, so I took the liberty of fixing it up as per your fixes and
pushing the attached combined proposed patch instead.