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License Agreements - Additional Information (Details)
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 31, 2020
USD ($)
$ / shares
shares
Mar. 31, 2022
USD ($)
shares
Mar. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Dec. 31, 2012
Item
Dec. 31, 2021
USD ($)
shares
Jan. 09, 2020
USD ($)
$ / shares
Research And Development Arrangement Contract To Perform For Others [Line Items]              
Number of common shares | shares   38,883,445       37,816,794  
Value of common stock   $ 3,888       $ 3,782  
Research and development expense recognized   12,585,141 $ 16,595,689        
License Agreement | Antecip              
Research And Development Arrangement Contract To Perform For Others [Line Items]              
Number of exclusive license agreements | Item         3    
License agreement royalty, maximum reduction percent as a result of required third party payments         50.00%    
License agreement term, from first commercial sale         10 years    
License Agreement | Antecip | AXS-02              
Research And Development Arrangement Contract To Perform For Others [Line Items]              
License agreement royalty as a percent of net sales         4.50%    
License Agreement | Antecip | AXS-05              
Research And Development Arrangement Contract To Perform For Others [Line Items]              
License agreement royalty as a percent of net sales         3.00%    
License Agreement | Antecip | AXS-04              
Research And Development Arrangement Contract To Perform For Others [Line Items]              
License agreement royalty as a percent of net sales         1.50%    
Pfizer Inc | License Agreement              
Research And Development Arrangement Contract To Perform For Others [Line Items]              
Number of common shares | shares 82,019            
Value of common stock $ 8,000,000.0            
Prior trading days 10 days            
Share price | $ / shares $ 97.54            
Upfront cash payment $ 3,000,000.0            
Fair value share price | $ / shares             $ 87.24
Fair value of common stock             $ 7,200,000
Research and development expense recognized       $ 10,200,000      
Future milestone payments   323,000,000          
Milestone payments or royalties   $ 0 $ 0