code: def log_fatplus(x: Tensor, tau: Union[float, Tensor] = TAU) -> Tensor:
      """Computes the logarithm of the fat-tailed softplus.
  
      NOTE: Separated out in case the complexity of the `log` implementation increases
      in the future.
      """
      return fatplus(x, tau=tau).log()
  
imports: from __future__ import annotations
  import math
  from typing import Callable, Tuple, Union
  import torch
  from botorch.exceptions import UnsupportedError
  from botorch.utils.constants import get_constants_like
  from torch import finfo, Tensor
  from torch.nn.functional import softplus
label_desc: Use image node_id 20 for calling a global function with example usage: log_fatplus(x, tau) and returns: fatplus