code: def g_prod_and_gdg_prod_diagonal(
      self, t, y_aug, v1, v2
  ):  # For Ito/Stratonovich diagonal.
      y, adj_y, _, requires_grad = self.get_state(t, y_aug, v2)
      with torch.enable_grad():
          g = self.forward_sde.g(-t, y)
          g_prod = self.forward_sde.prod(g, v1)
  
          (vg_dg_vjp,) = misc.vjp(
              outputs=g,
              inputs=y,
              grad_outputs=v2 * g,
              allow_unused=True,
              retain_graph=True,
              create_graph=requires_grad,
          )
          (dgdy,) = misc.vjp(
              outputs=g.sum(),
              inputs=y,
              allow_unused=True,
              retain_graph=True,
              create_graph=requires_grad,
          )
          prod_partials_adj_y_and_params = misc.vjp(
              outputs=g,
              inputs=[y] + self.params,
              grad_outputs=adj_y * v2 * dgdy,
              allow_unused=True,
              retain_graph=True,
              create_graph=requires_grad,
          )
          (avg_dg_vjp,) = misc.vjp(
              outputs=g,
              inputs=y,
              grad_outputs=(adj_y * v2 * g).detach(),
              allow_unused=True,
              create_graph=True,
          )
          mixed_partials_adj_y_and_params = misc.vjp(
              outputs=avg_dg_vjp.sum(),
              inputs=[y] + self.params,
              allow_unused=True,
              retain_graph=True,
              create_graph=requires_grad,
          )
          vjp_y_and_params = misc.seq_sub(
              prod_partials_adj_y_and_params,
              mixed_partials_adj_y_and_params,
          )
          return self._g_prod(
              g_prod, y, adj_y, requires_grad
          ), misc.flatten((vg_dg_vjp, *vjp_y_and_params)).unsqueeze(0)
  
imports: import torch
  from .None import base_sde
  from .None import misc
  from ..settings import NOISE_TYPES, SDE_TYPES
  from ..types import Sequence, TensorOrTensors
label_desc: Use image node_id 18 for calling the AdjointSDE obj's underlying member method code with example usage: obj.g_prod_and_gdg_prod_diagonal(t, y_aug, v1, v2) and returns: self,  misc