code: def to_d(x, sigma, denoised):
      """Converts a denoiser output to a Karras ODE derivative."""
      return (x - denoised) / append_dims(sigma, x.ndim)
  
imports: import random
  import numpy
  import torch
  import torch.nn
  import torch.nn.functional
  from piq import LPIPS
  from torchvision.transforms import RandomCrop
  from .None import dist_util
  from .nn import mean_flat, append_dims, append_zero
  from .random_util import get_generator
label_desc: Use image node_id 4 for calling a global function with example usage: to_d(x, sigma, denoised) and returns: unknown