A woman who launched a brutal axe attack on strangers at a convenience store in Sydney's inner west two years ago has been jailed for at least 4½ years.

Evie Amati, 26, updated her Facebook status just before 2am on January 7, 2017, to read, "Humans are only able to destroy, to hate, so that is what I shall do." She then walked a short distance to a 7-Eleven in Enmore holding an axe. She had a knife in her back pocket.

Amati walked one lap of the store before she swung the two-kilogram axe into the face of Ben Rimmer, who was buying something to eat, without warning. The blow fractured his nasal bone, eye socket and cheekbone and he bled profusely.

Sharon Hacker, who was buying milk, paused when she left the store and Amati swung the axe into the back of her head, fracturing her skull. Ms Hacker's thick dreadlocks cushioned the blow, and Amati swung a second time but missed.