def jaccard_distance_numeric(x_or_y: float, x_and_y: float) -> float:
	""" Calculated the jaccard distance between two series using pre-computed area values.
		Parameters
		----------
		x_or_y, x_and_y: float
			precomputed x_or_y and x_and_y, respectively.
	"""
	return (x_or_y - x_and_y) / x_or_y