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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 9 Months Ended 12 Months Ended
Jun. 22, 2023
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Dec. 31, 2016
Jun. 30, 2025
Jan. 01, 2025
Dec. 31, 2024
Jan. 01, 2024
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Stock-based compensation expense     $ 13,100 $ 27,803 $ 35,617          
2015 and 2016 and 2018 Equity Inducement Plan | Service Based Awards                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Share-based award, vesting period (in years)       4 years            
Expiration term (in years)       10 years            
2016 Equity Incentive Plan                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Annual percentage of additional shares           5.00%        
Additional number of shares available for issuance (in shares)               3,814,905   3,023,650
Common stock available for future issuance (in shares)   10,880,124   10,880,124            
Outstanding option awards (in shares)   4,896,574   4,896,574            
2018 Equity Inducement Plan                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Common stock available for future issuance (in shares)   7,556,574   7,556,574            
Outstanding option awards (in shares)   6,637,231   6,637,231            
2018 Equity Inducement Plan, Amended                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Common stock available for future issuance, additional amount authorized (in shares)             750,000      
Spyre 2023 Equity Incentive Plan                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Outstanding option awards (in shares)             0      
Spyre 2023 Equity Incentive Plan | Asset Acquisition                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Number of outstanding and unexercised stock options to purchase (in shares) 2,734                  
Parapyre Option Obligation                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Stock-based compensation expense     $ 6,100   $ 13,000          
2024 Parapyre Option Obligation | Outstanding Parapyre warrants                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Warrants to purchase shares (in shares)   1,532,591   1,532,591         848,184  
Exercise price per warrant (in dollars per share)   $ 22.49   $ 22.49         $ 23.28  
Number of warrants exercised (in shares)   0   0            
2016 Employee Stock Purchase Plan | 2016 ESPP | Employee Stock                    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                    
Number of shares sold (in shares)   17,298 14,053 34,175 16,383          
Sale of stock, proceeds received   $ 200 $ 0 $ 600 $ 300