carefreedom vs carefreeness

carefreedom

noun

  • The property of being lighthearted, joyous, cheerful, without a care. 

carefreeness

noun

  • The property of being lighthearted, joyous, cheerful, without a care. 

How often have the words carefreedom and carefreeness occurred in a corpus of books? (source: Google Ngram Viewer )