Mistake is the opposite of Purpose. Purpose is related to Function. Function is a type of Relation. Relation is related to Cousin. 
Accelerate is a synonym of Hurry. Hurry is related to Rush. Rush is related to Time. Time is related to Celebration. 
Mistake <--Antonym--> Purpose <--RelatedTo--> Function --IsA--> Relation <--RelatedTo--> Cousin 
Accelerate <--Synonym--> Hurry <--RelatedTo--> Rush <--RelatedTo--> Time <--RelatedTo--> Celebration 