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Stock-Based Compensation - Early exercise of stock options into restricted stock (Details) - USD ($)
$ in Millions
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Maximum    
Stock-Based Compensation    
Liability for unvested shares $ 0.1 $ 0.1
Restricted stock from early exercise of options    
Stock-Based Compensation    
Unvested restricted common stock at beginning of period 14,070  
Vested (9,927)  
Unvested restricted common stock at end of period 4,143 14,070