bool* modified) {
  if (VLOG_IS_ON(4)) {
    DumpGraphToFile("extract_outside_compilation_before", *g, fld);
  }

  *modified = false;
  auto node_name_index = g->BuildNodeNameIndex();
  for (auto& iter : clusters) {
    string xla_cluster_name = iter.first;
    Node* n = iter.second.node;
    auto const& func_name_attrs = iter.second.func_name_attrs;