PtjRNdZddlmZmZmZddlmZddlmZddl m Z dZ dZ dS) zS Optimizations of the expression tree representation for better CSE opportunities. )AddBasicMul)S)default_sort_key)preorder_traversalcd|tD}i}t}|D]E}| }|jr||"t jtj|g||<F| |}t|tri}t|ttD]Z}||vr||vr ||||<|r/t jtjtj| g||<[| |}|S)zD Replace y - x with -(x - y) if -1 can be extracted from y - x. c:g|]}||S)could_extract_minus_sign).0as U/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/sympy/simplify/cse_opts.py zsub_pre..s) D D D!q'A'A'C'C DA D D D)key)atomsrsetis_Muladdr _from_argsr NegativeOnexreplace isinstancersortedrr One)eaddsrepsignorernanegss rsub_prer# sA E Dqwws|| D D DD D UUF 66R 9  JJqMMM .!-!455Q 4A!U  *:;;; E EAF{{Dyyq'Q++-- E.!%)CDDQ JJt   Hrc hg}t|D]}t|tri|jdtjurP|jdtjur7||tj|jdd f|D]\}}| ||i}|S)z Replace 1*-1*x with -x. rN) rrrargsrrrappendrr)r replacementsnode replacements rsub_postr,)sL"1%%HH dC  H IaLAE ! !dilam&C&C   ty}(E(E'E F G G G),,k JJk* + + HrN) __doc__ sympy.corerrrsympy.core.singletonrsympy.core.sortingrsympy.core.traversalrr#r,r rrr2s'&&&&&&&&&""""""//////333333   >      r