perl 匹配嵌套括号问题

text：
(1+2(123+(888)3)ddf)wwww(sdf(sdfdsf)gggg)
Match:
1+2 123+ 888 3 ddf sdf sdfdsf gggg

匹配代码:

#!/usr/bin/perl
use strict;
use warnings;
use re 'eval';
my $str= '(1+2(123+(888)3)ddf)wwww(sdf(sdfdsf)gggg)';
my @arr;
my $re = qr/(?{local $a=0})(?>(?:([^()]+)(?{push @arr,$1})| 
#将匹配到得内容push到@arr
#固化分组，减少回朔。
\((?{$a++})|   
#遇到开括号$a+1
\)(?(?{$a!=0})(?{$a--})|       
#如果$a不等于0则遇到闭括号$a-1
(?!)))*)(?(?{$a!=0})(?!))/x; 
# 否则继续匹配，如果继续遇到$a不等于0 继续匹配到行尾
1 while($str =~ /\($re\)/g);
print join("\n",@arr);