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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Jun. 22, 2023
Mar. 31, 2025
Mar. 31, 2024
Dec. 31, 2016
Dec. 31, 2024
Sep. 30, 2024
Jan. 01, 2024
Jan. 01, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                
Stock-based compensation   $ 8,859 $ 13,835          
2015 and 2016 and 2018 Equity Inducement Plan | Service Based Awards                
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                
Vest period grant date   4 years            
Share-based payment award, term   10 years            
2015 Equity Incentive Plan                
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                
Shares subject to options outstanding (in shares)   952            
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)   11,007,869            
Outstanding option awards (in shares)   4,817,317            
2018 Equity Inducement Plan                
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                
Common stock available for future issuance (in shares)   6,856,811            
Outstanding option awards (in shares)   6,300,368            
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)           1,000,000    
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   $ 0 $ 5,400          
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     848,184      
Exercise price per warrant (in dollars per share)   $ 22.49     $ 23.28      
2016 Employee Stock Purchase Plan | Employee Stock                
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                
Number of shares issued (in shares)   16,877            
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)   16,877 2,330          
Sale of stock, proceeds received   $ 300 $ 0