Is the saying, "Nothing but your deeds will save you from the As-Sirat (bridge over Hell)," considered to be among the polytheistic phrases?

The statement mentioned is not considered polytheism in speech. People will cross the Sirat according to their deeds, as stated in the noble Hadith (definition) that they will pass like the blink of an eye, or the wind, or a bird, or the fastest animal, or by running, or by walking, and the last of them will be a man dragging himself on his belly. Deeds are a means to salvation, but not salvation in themselves; for salvation is by the mercy and grace of Allah and His acceptance of the servant's deeds, as the Prophet, peace and blessings be upon him, said: "No one of you will be saved by his deeds... except that Allah envelops me with His mercy." The verses that link entry into Paradise with deeds mean that deeds are a cause for entering Paradise, and the enablement and acceptance of these deeds are by the mercy and favor of Allah.