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<h3 class="section">67.7 Package scifac</h3>
<a name="gcfac"></a><a name="Item_003a-simplifications_002fdeffn_002fgcfac"></a><dl>
<dt><a name="index-gcfac"></a>Function: <strong>gcfac</strong> <em>(<var>expr</var>)</em></dt>
<dd><p><code>gcfac</code> is a factoring function that attempts to apply the same heuristics which
scientists apply in trying to make expressions simpler. <code>gcfac</code> is limited
to monomial-type factoring. For a sum, <code>gcfac</code> does the following:
</p>
<ol>
<li> Factors over the integers.
</li><li> Factors out the largest powers of terms occurring as
coefficients, regardless of the complexity of the terms.
</li><li> Uses (1) and (2) in factoring adjacent pairs of terms.
</li><li> Repeatedly and recursively applies these techniques until
the expression no longer changes.
</li></ol>
<p>Item (3) does not necessarily do an optimal job of pairwise
factoring because of the combinatorially-difficult nature of finding
which of all possible rearrangements of the pairs yields the most
compact pair-factored result.
</p>
<p><code>load ("scifac")</code> loads this function.
<code>demo ("scifac")</code> shows a demonstration of this function.
</p>
</dd></dl>
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