@@ -129,7 +129,7 @@ def well_formed(expr):
129129
130130    Parameters 
131131    ---------- 
132-     expr: tvm.relay.Expr 
132+     expr  : tvm.relay.Expr 
133133        The input expression 
134134
135135    Returns 
@@ -175,7 +175,7 @@ def free_vars(expr):
175175
176176    Parameters 
177177    ---------- 
178-     expr: tvm.relay.Expr 
178+     expr  : tvm.relay.Expr 
179179        The input expression 
180180
181181    Returns 
@@ -197,7 +197,7 @@ def bound_vars(expr):
197197
198198    Parameters 
199199    ---------- 
200-     expr: tvm.relay.Expr 
200+     expr  : tvm.relay.Expr 
201201        The input expression 
202202
203203    Returns 
@@ -213,7 +213,7 @@ def all_vars(expr):
213213
214214    Parameters 
215215    ---------- 
216-     expr: tvm.relay.Expr 
216+     expr  : tvm.relay.Expr 
217217        The input expression 
218218
219219    Returns 
@@ -229,9 +229,10 @@ def free_type_vars(expr, mod=None):
229229
230230    Parameters 
231231    ---------- 
232-     expr: Union[tvm.relay.Expr,tvm.relay.Type] 
232+     expr  : Union[tvm.relay.Expr,tvm.relay.Type] 
233233        The input expression/type 
234-     mod: tvm.relay.Module, optional 
234+ 
235+     mod : Optional[tvm.relay.Module] 
235236        The global module 
236237
237238    Returns 
@@ -248,9 +249,10 @@ def bound_type_vars(expr, mod=None):
248249
249250    Parameters 
250251    ---------- 
251-     expr: Union[tvm.relay.Expr,tvm.relay.Type] 
252+     expr  : Union[tvm.relay.Expr,tvm.relay.Type] 
252253        The input expression/type 
253-     mod: tvm.relay.Module, optional 
254+ 
255+     mod : Optional[tvm.relay.Module] 
254256        The global module 
255257
256258    Returns 
@@ -267,9 +269,9 @@ def all_type_vars(expr, mod=None):
267269
268270    Parameters 
269271    ---------- 
270-     expr: Union[tvm.relay.Expr,tvm.relay.Type] 
272+     expr  : Union[tvm.relay.Expr,tvm.relay.Type] 
271273        The input expression/type 
272-     mod:  tvm.relay.Module, optional  
274+     mod : Optional[ tvm.relay.Module]  
273275        The global module 
274276
275277    Returns 
@@ -286,12 +288,12 @@ def simplify_inference(expr):
286288
287289    Parameters 
288290    ---------- 
289-     e : tvm.relay.Expr 
291+     expr  : tvm.relay.Expr 
290292        The input Expression 
291293
292294    Returns 
293295    ------- 
294-     result: tvm.relay.Expr 
296+     result  : tvm.relay.Expr 
295297        An expression which is semantically equal to the input expression, 
296298        but with some simplification 
297299    """ 
@@ -304,48 +306,50 @@ def canonicalize_ops(expr):
304306
305307    Parameters 
306308    ---------- 
307-     e : tvm.relay.Expr 
309+     expr  : tvm.relay.Expr 
308310        The input Expression 
309311
310312    Returns 
311313    ------- 
312-     result: tvm.relay.Expr 
314+     result  : tvm.relay.Expr 
313315        An expression without bias_add 
314316    """ 
315317    return  _ir_pass .canonicalize_ops (expr )
316318
317319
318- def  dead_code_elimination (expr ):
320+ def  dead_code_elimination (expr ,  inline_once = False ):
319321    """ Remove expressions which does not effect the program result (dead code). 
320322
321323    Parameters 
322324    ---------- 
323-     e : tvm.relay.Expr 
325+     expr  : tvm.relay.Expr 
324326        The input Expression 
325327
328+     inline_once : Optional[Bool] 
329+         Whether to inline binding that occur only once. 
326330    Returns 
327331    ------- 
328-     result: tvm.relay.Expr 
332+     result  : tvm.relay.Expr 
329333        An expression which is semantically equal to the input expression, 
330334        but with dead code removed. 
331335    """ 
332-     return  _ir_pass .dead_code_elimination (expr )
336+     return  _ir_pass .dead_code_elimination (expr ,  inline_once )
333337
334338
335339def  alpha_equal (lhs , rhs ):
336340    """Compare two Relay expr for structural equivalence (alpha equivalence). 
337341
338342    Parameters 
339343    ---------- 
340-     lhs: tvm.relay.Expr 
344+     lhs  : tvm.relay.Expr 
341345        One of the input Expression. 
342346
343-     rhs: tvm.relay.Expr 
347+     rhs  : tvm.relay.Expr 
344348        One of the input Expression. 
345349
346350    Returns 
347351    ------- 
348-     result: bool 
352+     result  : bool 
349353        True iff lhs is alpha equal to rhs. 
350354    """ 
351355    return  bool (_make ._alpha_equal (lhs , rhs ))
@@ -359,15 +363,15 @@ def graph_equal(lhs, rhs):
359363
360364    Parameters 
361365    ---------- 
362-     lhs: tvm.relay.Expr 
366+     lhs  : tvm.relay.Expr 
363367      One of the input Expression. 
364368
365-     rhs: tvm.relay.Expr 
369+     rhs  : tvm.relay.Expr 
366370      One of the input Expression. 
367371
368372    Returns 
369373    ------- 
370-     result: bool 
374+     result  : bool 
371375      True iff lhs is data-flow equivalent to rhs. 
372376    """ 
373377    return  bool (_make ._graph_equal (lhs , rhs ))
@@ -378,12 +382,12 @@ def structural_hash(value):
378382
379383    Parameters 
380384    ---------- 
381-     expr:  tvm.relay.Expr or  tvm.relay.Type 
385+     expr : Union[ tvm.relay.Expr,  tvm.relay.Type]  
382386      The expression to hash. 
383387
384388    Returns 
385389    ------- 
386-     result: int 
390+     result  : int 
387391      The hash value 
388392    """ 
389393    if  isinstance (value , Expr ):
@@ -544,12 +548,12 @@ def to_a_normal_form(expr, mod=None):
544548    expr : tvm.relay.Expr 
545549        The input expression. 
546550
547-     mod: Optional[tvm.relay.Module] 
551+     mod  : Optional[tvm.relay.Module] 
548552        The global module. 
549553
550554    Returns 
551555    ------- 
552-     expr : tvm.relay.Expr 
556+     result  : tvm.relay.Expr 
553557      The output expression. 
554558    """ 
555559    return  _ir_pass .to_a_normal_form (expr , mod )
@@ -563,7 +567,7 @@ def to_graph_normal_form(expr):
563567        The input expression 
564568    Returns 
565569    ------- 
566-     expr  : tvm.relay.Expr 
570+     result  : tvm.relay.Expr 
567571      The output expression 
568572    """ 
569573    return  _ir_pass .to_graph_normal_form (expr )
@@ -612,7 +616,7 @@ def get_total_mac_number(expr):
612616
613617    Returns 
614618    ------- 
615-     ret  : int64 
619+     result  : int64 
616620      The number of MACs (multiply-accumulate) of a model 
617621    """ 
618622    return  _ir_pass .GetTotalMacNumber (expr )
@@ -627,17 +631,17 @@ def eliminate_common_subexpr(expr, fskip=None):
627631    expr : tvm.relay.Expr 
628632        The input expression. 
629633
630-     fskip: function 
634+     fskip  : function 
631635        The callback function that decides whether an expression should be skipped. 
632636
633637    Returns 
634638    ------- 
635-     expr  : tvm.relay.Expr 
639+     result  : tvm.relay.Expr 
636640      The output expression. 
637641    """ 
638642    return  _ir_pass .eliminate_common_subexpr (expr , fskip )
639643
640- def  partial_evaluate (expr ):
644+ def  partial_evaluate (expr ,  mod = None ):
641645    """ 
642646    Evaluate the static fragment of the code. 
643647
@@ -646,12 +650,15 @@ def partial_evaluate(expr):
646650    expr : tvm.relay.Expr 
647651        The input expression. 
648652
653+     mod : Optional[tvm.relay.Module] 
654+         The global module 
655+ 
649656    Returns 
650657    ------- 
651-     expr  : tvm.relay.Expr 
658+     result  : tvm.relay.Expr 
652659      The output expression. 
653660    """ 
654-     return  _ir_pass .partial_evaluate (expr )
661+     return  _ir_pass .partial_evaluate (expr ,  mod )
655662
656663def  unmatched_cases (match , mod = None ):
657664    """ 
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