Is the raml (brisk pace) in the Sa'y (ritual circumambulation between Safa and Marwa) on the way to Marwa and back to Safa?

The vigorous walking (sa'i) between the two markers (al-alamayn) should be performed in all circuits of the sa'i, whether from Safa to Marwa or vice-versa. This is in emulation of the Prophet's action, peace and blessings be upon him, as mentioned in "Al-Mughni" and "Fatawa al-Lajnah ad-Daimah."