Quarterly report pursuant to Section 13 or 15(d)

Net Loss Per Share of Common Stock - Schedule of Antidilutive Securities Excluded from Computation of Diluted Weighted Average Shares Outstanding (Parenthetical) (Detail)

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Net Loss Per Share of Common Stock - Schedule of Antidilutive Securities Excluded from Computation of Diluted Weighted Average Shares Outstanding (Parenthetical) (Detail) (USD $)
Mar. 31, 2015
Aug. 01, 2014
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Common stock held by Convertible Notes holders, exercise price $ 7.50us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1  
Convertible Notes [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Common stock held by Convertible Notes holders   3,321,416us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights
/ us-gaap_StatementClassOfStockAxis
= cfrx_ConvertibleNotesMember
Common stock held by Convertible Notes holders, exercise price   $ 3.00us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
/ us-gaap_StatementClassOfStockAxis
= cfrx_ConvertibleNotesMember