def METHOD_NAME(state, name_prefix, pb_graph, inline_graph):
    """Appends the state of a given GraphExecutor to the graph protobuf.
    Args:
        state (GraphExecutor or GraphExecutorState): GraphExecutor to display.
        name_prefix (str): Name prefix of the containing subgraph.
        pb_graph (GraphDef): graph to append to.
        inline_graph (Callable): a function that handles setting up a value_map,
            so that some graphs in here can be inlined. This is necessary, because
            this will simply be `visualize` for the top-level GraphExecutor,
            or `inline_graph` for all nested ones.
            The signature should look like (Graph, name_prefix) -> ().
            It will be called exactly once.
    The strategy is to embed all different configurations as independent subgraphs,
    while inlining the original graph as the one that actually produces the values.
    """
    if state.autograd_fallback_graph is not None:
        visualize(graph=state.autograd_fallback_graph,
                  name_prefix=name_prefix + 'autograd_fallback/',
                  pb_graph=pb_graph,
                  executors_it=iter(state.autograd_fallback.executors()))
    for i, (arg_spec, plan) in enumerate(state.execution_plans.items()):
        subgraph_name = name_prefix + f'plan{i}/'
        # Create a disconnected node that will keep information regarding the input
        # types of this trace. This is unfortunately a bit too verbose to be included
        # in the subgraph name.
        input_kinds = pb_graph.node.add(op='INPUT_KIND', name=subgraph_name)
        input_kinds.attr['inputs'].s = repr(arg_spec).encode('ascii')
        visualize(plan.graph, subgraph_name, pb_graph, iter(plan.code.executors()))
        # Show gradient as an independent subgraph of this plan
        if plan.grad_executor is not None:
            grad_subgraph_name = subgraph_name + 'grad/'
            visualize(plan.grad_executor, grad_subgraph_name, pb_graph)
    return inline_graph(state.graph, name_prefix + 'original/')