Ei@ %SSKJr SSKrSSKrSSKrSSKrSSKrSSKrSSKrSSK r SSKJ r J r SSK J r JrJr SSKrSSKJs Jr SSKJrJrJrJrJrJrJrJr SSKJr \(aSSKJr \R@"\!5r"\R$RG\!S5r$\%"5r&S \'S '\(\)-\*-S-r+/S Qr,SS K-J.r/ S r0"SS5r1"SS5r2"SS\2\*5r30S\Rh_S\Rj_S\Rl_S\Rn_S\Rn_S\Rp_S\Rr_S\Rt_S\Rv_S\Rx_S\Rz_S\R|_S S!_S"\R~_S#\R_S$\R_S%\R_0S&\R_S'\R_S(\R_S)\R_S*\R_S+\R_S,\R_S-\R_S.\R_S/\R_S0\R_S1\_S2\_S3\_S4\_S5\_S6\R_ES7\R0ErM1S8krNS9rOS:rP\PHKrQS;\Q3rRS<\R3rS\T"\1\R\O"\Q55 \U"\\S5\M\R'\NRm\R5 \,R\R5 MM S 1rW\N\W-rX1S=krY1S>krZS1r[\Y\[-r\1S?kr]SS)1r^SS)S@SA.r_1SBkr`\PHrQS;\Q3rR\`Rm\R5 M 1SCkra1SDkrbSErcSFrdSGreSHrfSIrgSJrhSKriSLrjSMrkSNrlSOrmSwSPjrnSQroSRrpSSrq0S\Rl_S0\R_S&\R_S%\f_S-\g_S,\h_S\i_S\o_S)\j_S*\p_S+\q_S6\c_S7\d_S\e_S#\k_S/\l_rrSTrsSUrtSVruSWrvSXrwSYrxSZryS[rzS\r{S]r|S^r}S_r~S`r\ GR\!rSar\PH(rQSb\Q3r\"\Q5r\=\l\l!\T"\\\5 M* CCQCScrSxSdjrSerSfr0\rE0S5\GR_S\Rh_S\w_S'\x_S\y_S$\z_S"\{_S\|_S\t_S\u_S1\_S\v_S(\R_S4\}_S3\~_S2\_S\_E\\Sg.Er\PHrQS;\Q3rR\U"\Sb\Q35\\R'M CQCRCPCShrSirSjrSkrSlrSmrSnrSor\\\\\\Sp.rSqrSrrSsrStrSur\GR55Hurr\"\\5 M \GR55Hurr\"\\5 M Svr\HTr\\Y;a \"\\5 M\\];a \"\\5 M%\\[;d\\Z;a \"\\5 \"\\5 \\_;dMK\"\\5 MV CCg)y) annotationsN) lru_cacheupdate_wrapper)Optional TYPE_CHECKINGUnion) sym_floatsym_itesym_maxsym_minsym_notSymBoolSymFloatSymInt)dtrace_structured)ShapeEnvsym_nodeobject_NO_HINT)SymNodemethod_to_operator magic_methods DynamicInt) py_sym_typesc`U[La[$U[La[$U[La[ $U$N)boolrintrfloatr)ts [/home/mande/repo/quber/.venv/lib/python3.13/site-packages/torch/fx/experimental/sym_node.py _to_symtyper"As+DyCx Ez Hc\rSrSr%SrSrS\S'S^S_SjjrS`SjrSaS jr SbS jr \ S 5r \ S 5r S rScSjrSrSrSrSrSrSrSrSrSrSrSrSrSrSrSdSjrSeSjrSeSjr ScSeS jjr!SeS!jr"SeS"jr#SeS#jr$SeS$jr%SeS%jr&SeS&jr'SeS'jr(SeS(jr)SeS)jr*SeS*jr+SeS+jr,SeS,jr-SeS-jr.SeS.jr/SeS/jr0SeS0jr1SeS1jr2SeS2jr3SeS3jr4SeS4jr5SeS5jr6SeS6jr7SeS7jr8SeS8jr9SeS9jr:SeS:jr;SeS;jrSeS>jr?SeS?jr@SeS@jrASeSAjrBSeSBjrCSeSCjrDSeSDjrESErFSFrGSGrHSHrISIrJSJrKSeSKjrLSLrMSMrNSNrOSeSOjrPSfSPjrQSQrRSRrSSSrTSTrUSUrVSVrWSWrXSXrYSYrZSZr[S[r\S\r]S]r^g)grNz This is a type erased SymInt/SymFloat which we use to do actual operations. End users don't touch this. Magic methods are NOT defined on this object. Fr_optimized_summationNc0^UTlUTlUTlUTlU4SjnU[LaSnOUb[ U5ULd1[ U5[ U5Ld[SUS[ U535eTR(aETRR(a*U"5n XI:wa[USU STRS35eOU"5nUTl UTl TR=(a TRRn U =(a UTl g)Nc>SSKJn U"TR5(agTRR TRSS9nUb([ U[ 5(dTRU5OUnU$)Nr)has_free_unbacked_symbolsT) compute_hint)%torch.fx.experimental.symbolic_shapesr)expr shape_env_maybe_evaluate_static isinstanceSymTypespytype)r)hintselfs r!r*&SymNode.__init__..compute_hints` W)33>>88QU8VD0:40J0Jt{{4(PTKr#zCannot create SymNode of type z with incompatible hint of type z != z (for )) _exprr-r1r&rtyper"AssertionError_translation_validation_enabledr,_hintconstantfx_node) r3r,r-r1r2r;r<optimized_summationr* computed_hinttx_validation_ens ` r!__init__SymNode.__init__]s " $7!:  8 D  J&(DJ+f:M,M$4h>tDzlL~~$.."P"P!- ((D6m_F499+UV)WXX>D ;C NN Mt~~MM (3G r#c[URXRURURUR 5$r)rr6r1r:r;r<)r3r-s r!with_shape_envSymNode.with_shape_envs. JJ ;; DMM4<<  r#c4URUR:H=(ay URUR:H=(aY URUR:H=(a9 URUR:H=(a URUR:H$r)r6r1r:r;r<r3others r! _value_eqSymNode._value_eqsq JJ%++ % . u||+ . ekk) . / .  -  r#c[URURURURUR 45$r)hashr6r1r:r;r<r3s r! _value_hashSymNode._value_hashs,TZZdjj$--VWWr#cLURRUR5$r)r-replacer6rLs r!r, SymNode.exprs~~%%djj11r#cUR$rr:rLs r!r2 SymNode.hints zzr#cURSL$rrSrLs r!has_hintSymNode.has_hintszz%%r#cSSKJn URcUb{U"UR5nURRVs0sH$nUXC;aUOUR R U_M& nn[URRU55$UR RUR5$UR$s snf)Nrfree_unbacked_symbols) r+rZr:r, free_symbolsr-backed_var_to_valrxreplace size_hint)r3fallbackrZunbacked_symbolss replacementss r! require_hintSymNode.require_hintsO :: #$9#C "YY33  4, 99!<=4   499--l;<<>>++DII6 6zz s+CcdURR(a[UR5$gr)r, is_numberrrLs r! maybe_as_intSymNode.maybe_as_ints 99  tyy> !r#cSSKn[URUR5(a[ UR5$gNr)sympyr/r,Floatrr3rks r!maybe_as_floatSymNode.maybe_as_floats, dii - -# #r#ctSSKnURURLagURURLagg)NrTF)rkr,truefalserms r! maybe_as_boolSymNode.maybe_as_bools. 99 " YY%++ %r#c&UR[L$r)r1rrLs r!is_intSymNode.is_ints{{c!!r#c&UR[L$r)r1rrLs r!is_floatSymNode.is_floats{{e##r#c&UR[L$r)r1rrLs r!is_boolSymNode.is_bool s{{d""r#cURSL=(aE [UR[5=(a$ URRR 5$r)r:r/rnode is_nested_intrLs r!rSymNode.is_nested_int sA JJd " 04::v. 0 --/ r#c [U5[La[S[U535eSSKn[ UR U5UR [XUS9$)NExpected int, got rr;r<)r7rr8rkrIntegerr-r3numrks r!wrap_intSymNode.wrap_intsN 9C  #5d3i[!AB B MM# SPS  r#c [U5[La[S[U535eSSKn[ UR U5UR [XUS9$)NzExpected float, got rr)r7rr8rkrrlr-rs r! wrap_floatSymNode.wrap_floatsN 9E ! #7S {!CD D KK dnneSPS  r#c [U5[La[S[U535eSSKn[ U(a UR O UR UR[UUUS9$)NzExpected bool, got rr)r7rr8rkrrqrrr-rs r! wrap_boolSymNode.wrap_bool&sW 9D  #6tCyk!BC CEJJ5;; NN     r#cU$rrLs r!clone SymNode.clone4s r#cUR$r)r,rLs r!str SymNode.str7s))r#c"UR5$rrrLs r!__str__SymNode.__str__:sxxzr#cSURSURSUR3/nURbUR SUR35 UR bUR SUR 35 UR bUR SUR 35 SRU5S-$) NzSymNode(z , shape_env=z , pytype=zhint=z constant=zfx_node=z, r5)r6r-r1r:appendr;r<join)r3reps r!__repr__SymNode.__repr__=stzzl,t~~.>i } U  :: ! 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"SymNode.sym_sum..s6A9Q<<c38# UHoRv M g7frr<rxs r!r{r| s!:T))Tr}r)rk"torch.fx.experimental.proxy_tensorrtruritorchsym_sumtupler,Addr2rsumr-_create_fx_call_functionrr) r3argsrkrtrurzexprsout size_hintsout_hintr<_s r!rSymNode.sym_sums   #MM6668 "&&A&ii Avv~   aff % :H^^<< MME!:T!::<  sNNCKK#'sDc8URRX5$r)r-evaluate_sym_node)r3size_obliviouss r!evaluateSymNode.evaluates~~//EEr#cUR5n[U5$![a [R SU5 ef=f)NzFailed to convert to int: %s)rr Exceptionlogwarningr3fileliners r!roSymNode.guard_ints> MMO q6M  KK6 :   "?cUR5n[U5$![a [R SU5 ef=f)NzFailed to convert to float: %s)rrrrrrs r! guard_floatSymNode.guard_floats> MMO 8O  KK8! <  rcUR5n[U5$![a [R SU5 ef=f)NFailed to convert to bool: %srrrrrrs r! guard_boolSymNode.guard_bool)s> MMO 7N  KK7 ;  rc&SSKJn UR5(aCU"UR5(d,URR (dUR X5$URRURUSU3URS9$)NrrY:r) r+rZrVr,r-+prefer_deferred_runtime_asserts_over_guardsrguard_or_defer_runtime_assertr<)r3rrrZs r! expect_trueSymNode.expect_true3swO MMOO)$))44NNNN??4. . ~~;; II$q'<  r#cpSSKJn UR5(d [S5eU"[ U55$)Nr)statically_known_trueExpected bool type)r+rr|r8r)r3rrrs r!rSymNode.statically_known_trueEs+O||~~ !56 6$WT]33r#cURSS9n[U5$![a [R SU5 ef=f)a Like guard_bool, but if we encounter unbacked symbols, if those symbols are size-like, we will treat them as >= 2 for the purposes of the analysis. This CHANGES the runtime semantics, but all size-oblivious sites have been audited to ensure that the runtime semantics don't change in a material way. Acceptable runtime semantic changes are, e.g., squeeze() no longer dropping an unbacked one size, or a tensor reporting as non-contiguous even if it's contiguous if it would have been reported contiguous due to being empty. T)rrrrs r!guard_size_obliviousSymNode.guard_size_obliviousLsC MMM . 7N  KK7 ;  s ">cpSSKJn UR5(d [S5eU"[ U55$)Nr)guard_or_falser)r+rr|r8r)r3rrrs r!rSymNode.guard_or_false`s+H||~~ !56 6gdm,,r#cpSSKJn UR5(d [S5eU"[ U55$)Nr) guard_or_truer)r+rr|r8r)r3rrrs r!rSymNode.guard_or_truegs+G||~~ !56 6WT]++r#c&URSS5$rm)rrLs r!bool_ SymNode.bool_nsr1%%r#cg)NTrrLs r! is_symbolicSymNode.is_symbolicqr#cgrrrLs r! nested_intSymNode.nested_inttrr#cg)NFrrLs r! is_constantSymNode.is_constantwsr#)r6r:r&r;r<r1r-)NNF)r2z!Optional[Union[int, float, bool]])r-rreturnr)rGrrr)rrr)rz builtins.str)rr)F)___name__ __module__ __qualname____firstlineno____doc__r&__annotations__r@rCrHrMpropertyr,r2rVrcrgrnrsrvryr|rrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrr rrr rrr!r r r r4r8r=rArFrJrMrPrTrXr\r_rbrerjrprrrorrrrrrrrrrr__static_attributes__rr#r!rrNs"'$&!S4 0 S4j  X22&4"$#      $ $    &+! *()##"!$$13DDAAL ('()(% %#LJF $4(-,&r#rc(^\rSrSrU4SjrSrU=r$)_DynamicScalari{cN>U[La [S5e[TU] "U/UQ76$)Nz9_DynamicScalar is an abstract base class, use DynamicInt.)r TypeErrorsuper__new__)clsr __class__s r!r_DynamicScalar.__new__|s+ . WX Xws*T**r#r)rrrrrr __classcell__rs@r!rr{s ++r#rc>^\rSrSrSrU4SjrSrSrSrSr U=r $)riz User API for marking dynamic integers in `torch.compile`. Intended to be compatible with both compile and eager mode. Example usage:: fn = torch.compile(f) x = DynamicInt(4) fn(x) # compiles x as a dynamic integer input; returns f(4) c>[U[5(d[S[U535e[TU]U[U55nU$)Nr)r/rr8r7rr)rvalobjrs r!rDynamicInt.__new__s@#s## #5d3i[!AB Bgoc3s8, r#c"SURS3$)Nz DynamicInt(r5)realrLs r!rDynamicInt.__repr__sTYYKq))r#c2[URU-5$rrrrFs r! __floordiv__DynamicInt.__floordiv__s$))u,--r#c0[XR-5$rrrFs r! __rfloordiv__DynamicInt.__rfloordiv__s%99,--r#r) rrrrrrrrrrrrs@r!rrs!  *...r#rrrrandrTrrrrrr rrc"UR5$r)rxs r!rs ALLNr#rrrrrrr!orrXr\rrrrrr r r r r rr> rr!rrrrrr r c^U4SjnU$)Nc,>[UST35"5$)N_sym_)getattr)r3names r!fn_get_sym_node_fn..fnstuTF^,..r#rrrs` r!_get_sym_node_fnrs/ Ir#) sqrtcoscoshsinsinhtantanhasinacosatanlog2sym_r>rrr r >rrr>rrsym_log2rxor)rTrXr\>rr rr>rrrr> rr rrrrrrr rrjcSSKJn U"X5$)Nr) FloatTrueDiv)torch.utils._sympy.functionsr)rzbrs r!_sympy_float_truedivr "9  r#cSSKJn U"X5$)Nr) IntTrueDiv)rr )rzrr s r!_sympy_int_truedivr (s7 a r#cSSKJn U"X5$)Nr)FloorDiv)rr)rzrrs r!_sympy_floordivr.5 A>r#cvSSKJnJn UR(aUR(aU"X5$U"X5$)NrMod PythonMod)rrris_nonnegative)rzrrrs r! _sympy_modr4s*;A,,1yr#cSSKJn U"X5$)Nr) PowByNatural)rr)rzrrs r!_sympy_pow_by_naturalr=r r#cSSKJn U"X5$)Nr)FloatPow)rr)rzrrs r!_sympy_float_powrCrr#c,SSKnURX5$rj)rkAndrzrrks r! _sympy_andr!Is 99Q?r#c,SSKnURX5$rj)rkOrr s r! _sympy_orr$O 88A>r#cSSKJn U"X5$)Nr)LShift)rr')rzrr's r! _sympy_lshiftr(U3 !<r#cSSKJn U"X5$)Nr)RShift)rr+)rzrr+s r! _sympy_rshiftr,[r)r#cb[U5S:XaU/$SSKJnJn U"US5U"U5:aX/-$U"US5U"U5:aU/U-$S[U5S- pTXE::a:XE-S-nUR XU5nUS:XagUS:aUS-nOUS- nXE::aM:UR XA5 U$)zg If new_arg is found in ordered_args None is returned, else the new ordered_args with new_arg inserted r) _args_sortkeyBasicrhN)lensympy.core.basicr.r/compareinsert) ordered_argsnew_argsort_keyr/lowhighmidcompare_results r!_binary_search_insert_argr=as  <AyA R !HW$55i'' Q 8G#44y<''3|$q( +za|'8'B Q  a 'C7D +% r#c^ SSKm SSKJn U 4SjnSSKJn X&"U5-nX6"U5-nU(GaU(Ga U"UR S5U"UR S5:aU"UR UR -5$U"UR S5U"UR S5:aU"UR UR -5$[ UR 5S::a\[ UR 5S::aC[UR 5nUR Hn[Xx5nUbM O UbU"U5$U(a;UR(a*[[UR 5U5nUbU"U5$U(a;UR(a*[[UR 5U5nUbU"U5$T RX5n U"U 5U 4$)a Custom optimization for Add used to optimize incremental binary summations of certain properties. The idea is when we know the expression is a summation of unique symbols all we need to know is the correct order of symbols, and no other optimizations are needed. We pass evaluate=false, with the correct order of args and save the following. 1. Avoid running other optimizations when the Add is constructed. 2. Manually figure out the order of the args for the new expression in log(n) comparisons instead of nLog(n) (comparing terms is expensive and shows in the profiles). 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T0BC CK8:;;r#c >[U[[[[[ [ 45(d[$[RSTX5 T"U5nT"U5nT "X5upT"U5(a[T5"T"U5U5$T"U5(aT"U5n[URU5nU[La[$[[URT5"U55nT"U5(aT"U5$U$)NzMAGIC %s %s %s)r/rrrrrrrrrrrirrwr r3rG other_noderetr*rrrr/r5s r!r+_make_user_magic..binary_magic_impl6s%#udFHg!NOO! !+VTAt}t+  t  &v. T0BEJ J u   'ETYY.  '! ! ;7 CD$/$4$4|C =#=r#c >[U[[[[[ [ 45(d[$T"U5nT"U5nT "X5upT"U5(a[T5"UT"U55$T"U5(aT"U5n[URU5nU[La[$[[UT5"UR55nT"U5(aT"U5$U$r) r/rrrrrrrrrirrwrr:s r!rbinary_magic_impl,_make_user_magic..rbinary_magic_implGs%#udFHg!NOO! !t}t+  t  &v.|D7IJ J u   'ETYY.  '! ! K8CD$/$4$4|C =#=r#cb^[UTU5 U4SjnU[La[[TU5 gg)z Registers the SymNode magic method on SymInt/Float/Bool, and optionally registers a corresponding wrapped method on DynamicInt. c>UVs/sH&n[U[5(a UROUPM( nn[[T5"U6n[U[5(a [U[ 5(d [U5$U$s snfr)r/rrrrr)rrrattrs r!dynamic_int_impl<_make_user_magic..setattrs..dynamic_int_implaskHLM1jJ77AFFQ>DM#t$d+C#s##JsD,A,A!#&J Ns-A?N)rrr) user_typerC symnode_implrDs ` r!setattrs"_make_user_magic..setattrsWs2  4.    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