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License Agreements - Additional Information (Details)
1 Months Ended 3 Months Ended 6 Months Ended 12 Months Ended
Jan. 31, 2020
USD ($)
$ / shares
shares
Jun. 30, 2022
USD ($)
shares
Jun. 30, 2021
USD ($)
Jun. 30, 2022
USD ($)
shares
Jun. 30, 2021
USD ($)
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   39,914,411   39,914,411       37,816,794  
Value of common stock   $ 3,991   $ 3,991       $ 3,782  
Research and development expense recognized   15,792,202 $ 14,503,326 28,377,343 $ 31,099,014        
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   323,000,000          
Milestone payments or royalties   $ 0 $ 0 $ 0 $ 0