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Fair Value Measurements - Monte Carlo Simulation (Details)
Dec. 31, 2022
May 17, 2022
Dec. 31, 2021
Risk-free interest rate      
Fair Value Measurement Inputs and Valuation Techniques      
Earn out provision, measurement input 0.0434   0.0102
Risk-free interest rate | ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 0.0412    
Risk-free interest rate | Amended ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 0.0459 0.0216  
Expected volatility      
Fair Value Measurement Inputs and Valuation Techniques      
Earn out provision, measurement input 1.000   0.900
Expected volatility | ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 1.000    
Expected volatility | Amended ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 1.000 0.900  
Term until liquidation (years)      
Fair Value Measurement Inputs and Valuation Techniques      
Earn out provision, measurement input 2.38   3.38
Term until liquidation (years) | ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 0.09    
Term until liquidation (years) | Amended ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 0.38 1.00  
Stock price      
Fair Value Measurement Inputs and Valuation Techniques      
Earn out provision, measurement input 1.12   1.13
Stock price | ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 1.12    
Stock price | Amended ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 1.12 1.29  
Discount rate      
Fair Value Measurement Inputs and Valuation Techniques      
Earn out provision, measurement input 0.0995   0.0671
Discount rate | ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 0.0412    
Discount rate | Amended ProFrac Agreement | Convertible Debt      
Fair Value Measurement Inputs and Valuation Techniques      
Debt instrument, measurement input 0.0459 0.0840