anamnesis vs case history

anamnesis and case history both are nouns.

Word	Noun	Adjective	Verb	Adverb
anamnesis	Yes	No	No	No
case history	Yes	No	No	No

As nouns, case history is a hypernym of anamnesis; that is, case history is a word with a broader meaning than anamnesis:

anamnesis: the case history of a medical patient as recalled by the patient
case history: detailed record of the background of a person or group under study or treatment

anamnesis (noun)	case history (noun)
the ability to recall past occurrences	detailed record of the background of a person or group under study or treatment
the case history of a medical patient as recalled by the patient