Much nicer. Falling over to using the approximation only when needed makes a lot of sense.

BTW: You have a couple of artifacts left from the earlier caching scheme 

  my $max_arr;
  my @ln_fact;
  ...
  BEGIN {
    $max_arr   = 10000;
    $#ln_fact  = $max_arr - 1;

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Lingua non convalesco, consenesco et abolesco. -- Rule 1 has a caveat! -- Who broke the cabal?
"Science is about questioning the status quo. Questioning authority".
The "good enough" maybe good enough for the now, and perfection maybe unobtainable, but that should not preclude us from striving for perfection, when time, circumstance or desire allow.

In reply to Re^6: Algorithm for cancelling common factors between two lists of multiplicands by BrowserUk
in thread Algorithm for cancelling common factors between two lists of multiplicands by BrowserUk

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