



'''simple docstring'''


from math import factorial




class      __UpperCamelCase       :







	def __init__(    self ,				_lowerCAmelCase ,				_lowerCAmelCase						)    ->    List[Any]:
							'''simple docstring'''






							lowercase        =							real
							if isinstance(_lowerCAmelCase ,				_lowerCAmelCase						):
													lowercase        =							[1] * rank
							else:
													lowercase        =							rank







	def __repr__(    self						)    ->    str:
							'''simple docstring'''






							return (
							    F"""{self.real}+"""
							    F"""{'+'.join(str(_lowerCAmelCase						)+'E'+str(n+1						)for n,dual in enumerate(self.duals						)						)}"""
							)







	def   _a   (    self						)    ->    Dict:
							'''simple docstring'''






							lowercase        =							self.duals.copy()
							while cur[-1] == 0:
													cur.pop(-1						)
							return Dual(self.real ,				_lowerCAmelCase						)







	def __add__(    self ,				_lowerCAmelCase						)    ->    Optional[Any]:
							'''simple docstring'''






							if not isinstance(_lowerCAmelCase ,				_lowerCAmelCase						):
													return Dual(self.real + other ,				self.duals						)
							lowercase        =							self.duals.copy()
							lowercase        =							other.duals.copy()
							if len(_lowerCAmelCase						) > len(_lowerCAmelCase						):
													o_dual.extend([1] * (len(_lowerCAmelCase						) - len(_lowerCAmelCase						))						)
							elif len(_lowerCAmelCase						) < len(_lowerCAmelCase						):
													s_dual.extend([1] * (len(_lowerCAmelCase						) - len(_lowerCAmelCase						))						)
							lowercase        =							[]
							for i in range(len(_lowerCAmelCase						)						):
													new_duals.append(s_dual[i] + o_dual[i]						)
							return Dual(self.real + other.real ,				_lowerCAmelCase						)

	__A			  =					__add__







	def __sub__(    self ,				_lowerCAmelCase						)    ->    Dict:
							'''simple docstring'''






							return self + other * -1







	def __mul__(    self ,				_lowerCAmelCase						)    ->    Tuple:
							'''simple docstring'''






							if not isinstance(_lowerCAmelCase ,				_lowerCAmelCase						):
													lowercase        =							[]
													for i in self.duals:
																			new_duals.append(i * other						)
													return Dual(self.real * other ,				_lowerCAmelCase						)
							lowercase        =							[0] * (len(self.duals						) + len(other.duals						) + 1)
							for i, item in enumerate(self.duals						):
													for j, jtem in enumerate(other.duals						):
																			new_duals[i + j + 1] += item * jtem
							for k in range(len(self.duals						)						):
													new_duals[k] += self.duals[k] * other.real
							for index in range(len(other.duals						)						):
													new_duals[index] += other.duals[index] * self.real
							return Dual(self.real * other.real ,				_lowerCAmelCase						)

	__A			  =					__mul__







	def __truediv__(    self ,				_lowerCAmelCase						)    ->    Optional[int]:
							'''simple docstring'''






							if not isinstance(_lowerCAmelCase ,				_lowerCAmelCase						):
													lowercase        =							[]
													for i in self.duals:
																			new_duals.append(i / other						)
													return Dual(self.real / other ,				_lowerCAmelCase						)
							raise ValueError







	def __floordiv__(    self ,				_lowerCAmelCase						)    ->    Any:
							'''simple docstring'''






							if not isinstance(_lowerCAmelCase ,				_lowerCAmelCase						):
													lowercase        =							[]
													for i in self.duals:
																			new_duals.append(i // other						)
													return Dual(self.real // other ,				_lowerCAmelCase						)
							raise ValueError







	def __pow__(    self ,				_lowerCAmelCase						)    ->    List[str]:
							'''simple docstring'''






							if n < 0 or isinstance(_lowerCAmelCase ,				_lowerCAmelCase						):
													raise ValueError("""power must be a positive integer"""						)
							if n == 0:
													return 1
							if n == 1:
													return self
							lowercase        =							self
							for _ in range(n - 1						):
													x *= self
							return x







def      SCREAMING_SNAKE_CASE				(				lowercase_    :      List[str] ,  lowercase_    :      Optional[int] ,  lowercase_    :      Optional[int]						):
						if not callable(lowercase_						):
												raise ValueError("""differentiate() requires a function as input for func"""						)
						if not isinstance(lowercase_ ,  (float, int)						):
												raise ValueError("""differentiate() requires a float as input for position"""						)
						if not isinstance(lowercase_ ,  lowercase_						):
												raise ValueError("""differentiate() requires an int as input for order"""						)
						lowercase        =							Dual(lowercase_ ,  1						)
						lowercase        =							func(lowercase_						)
						if order == 0:
												return result.real
						return result.duals[order - 1] * factorial(lowercase_						)


if __name__ == "__main__":
						import doctest

						doctest.testmod()







						def      SCREAMING_SNAKE_CASE				(				lowercase_    :      str						):
												return y**2 * y**4
						print(differentiate(f, 9, 2))







'''simple docstring'''


from transformers import HfArgumentParser, TensorFlowBenchmark, TensorFlowBenchmarkArguments







def      SCREAMING_SNAKE_CASE				(				):
						lowercase        =							HfArgumentParser(lowercase_						)
						lowercase        =							parser.parse_args_into_dataclasses()[0]
						lowercase        =							TensorFlowBenchmark(args=lowercase_						)
						try:
												lowercase        =							parser.parse_args_into_dataclasses()[0]
						except ValueError as e:
												lowercase        =							"""Arg --no_{0} is no longer used, please use --no-{0} instead."""
												lowercase        =							""" """.join(str(lowercase_						).split(""" """						)[:-1]						)
												lowercase        =							""""""
												lowercase        =							eval(str(lowercase_						).split(""" """						)[-1]						)
												lowercase        =							[]
												for arg in depreciated_args:
																		# arg[2:] removes '--'
																		if arg[2:] in TensorFlowBenchmark.deprecated_args:
																								# arg[5:] removes '--no_'
																								full_error_msg += arg_error_msg.format(arg[5:]						)
																		else:
																								wrong_args.append(lowercase_						)
												if len(lowercase_						) > 0:
																		lowercase        =							full_error_msg + begin_error_msg + str(lowercase_						)
												raise ValueError(lowercase_						)
						benchmark.run()


if __name__ == "__main__":
						main()


