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Income Taxes - Schedule of Reconciliation of Income Taxes Computed Using U.S. Federal Statutory Rate to that Reflected in Operations (Detail) - Cara Therapeutics, Inc.
3 Months Ended 12 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Income Taxes          
Income taxes using U.S. federal statutory rate     21.00% 21.00% 21.00%
State income taxes, net of federal benefit     (5.05%) 5.30% (1.00%)
Impact of R&D tax credit on effective tax rate     2.59% 3.68% 4.91%
Impact of foreign tax credit on effective tax rate     (0.29%)    
Stock option shortfalls and cancellations     (4.88%) (1.22%) (3.33%)
Permanent items and other     (0.65%) (0.89%) (1.86%)
Change in valuation allowance     (11.11%) (27.34%) (19.88%)
Provision to return     (1.05%) (0.53%) 0.16%
Total 0.00% 0.00% 0.56% 0.00% 0.00%