Simplify! :-)
#! perl
use strict;
use warnings;
use bignum;
my ($even, $odd) = (1, 1);
for (1 .. 47)
{
$even += $odd;
$odd += $even;
print "phi = ", ($odd / $even), "\n";
}
47 iterations gives phi correct to 38 decimal places:
phi = 1.61803398874989484820458683436563811772
Update: Timed (with Time::HiRes) at less than 0.3 seconds.
Hope that helps,
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