def run(self, dag):
        """
        Run one pass of cx cancellation on the circuit

        Args:
            dag (DAGCircuit): the directed acyclic graph to run on.
        Returns:
            DAGCircuit: Transformed DAG.
        """
        cx_runs = dag.collect_runs(["cx"])
        for cx_run in cx_runs:
            # Partition the cx_run into chunks with equal gate arguments
            partition = []
            chunk = []
            for i in range(len(cx_run) - 1):
                chunk.append(cx_run[i])

                qargs0 = cx_run[i].qargs
                qargs1 = cx_run[i + 1].qargs

                if qargs0 != qargs1:
                    partition.append(chunk)
                    chunk = []
            chunk.append(cx_run[-1])
            partition.append(chunk)
            # Simplify each chunk in the partition
            for chunk in partition:
                if len(chunk) % 2 == 0:
                    for n in chunk:
                        dag.remove_op_node(n)
                else:
                    for n in chunk[1:]:
                        dag.remove_op_node(n)
        return dag
Run one pass of cx cancellation on the circuit

        Args:
            dag (DAGCircuit): the directed acyclic graph to run on.
        Returns:
            DAGCircuit: Transformed DAG.