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Stock-Based Compensation Expense - Black-Scholes option pricing model (Details) - Stock Options
3 Months Ended
Mar. 31, 2019
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Stock-Based Compensation  
Expected stock price volatility (as a percent) 78.00%
Risk-free interest rate (as a percent) 2.70%
Expected life of options 6 years
Expected annual dividend yield 0.00%
Number of options granted (in shares) 0