wgRLdZddlmZmZmZddlmZddlmZddl m Z dZ dZ y) zS Optimizations of the expression tree representation for better CSE opportunities. )AddBasicMul)S)default_sort_key)preorder_traversalc|jtDcgc]}|js|}}i}t}|D]K}| }|jr|j |$t jtj|g||<M|j|}t|tri}t|jttD]]}||vr||vr ||||<|js&t jtjtj| g||<_|j|}|Scc}w)zD Replace y - x with -(x - y) if -1 can be extracted from y - x. )key)atomsrcould_extract_minus_signsetis_Muladdr _from_argsr NegativeOnexreplace isinstancersortedrOne)eaaddsrepsignorenanegss \/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/sympy/simplify/cse_opts.pysub_prer s&wws| D!q'A'A'CA DD D D UF 6R 99 JJqM ..!--!45Q 6 4A!U *:; EAF{Dyq'Q++-..!%%)CDQ  E JJt  H1 Es E E c ng}t|D]}t|ts|jdtj us4|jdtj usT|j|tj|jdd f|D]\}}|j||i}|S)z Replace 1*-1*x with -x. rN) rrrargsrrrappendrr)r replacementsnode replacements rsub_postr')sL"1%H dC IIaLAEE !diilamm&C   tyy}(E'E F GH*,k JJk* +, HN) __doc__ sympy.corerrrsympy.core.singletonrsympy.core.sortingrsympy.core.traversalrrr'r(rr/s%'&"/3 >  r(