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Loan and Security Agreement - Additional Information (Details) - USD ($)
1 Months Ended 3 Months Ended 6 Months Ended
Oct. 14, 2021
Sep. 30, 2020
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Mar. 27, 2022
Line Of Credit Facility [Line Items]              
Interest expense     $ 1,874,674 $ 1,156,458 $ 2,998,632 $ 2,300,208  
Amortization of debt issuance costs     160,179 149,281 258,039 292,870  
Amortization of debt discount         683,022 560,752  
Warrants              
Line Of Credit Facility [Line Items]              
Amortization of debt discount     $ 299,486 $ 132,508 $ 424,983 $ 267,882  
Term Loan 2020              
Line Of Credit Facility [Line Items]              
Debt instrument maturity, month and year 2026-10            
Base interest rate 8.95%            
Minimum different from remaining percentage of cash flow 10.00%            
Final payment fee   $ 2,910,000          
Percentage of final payment fee   4.50%          
Term Loan 2020 | Prime Rate              
Line Of Credit Facility [Line Items]              
Interest rate basis 5.70%            
Term Loan 2020 | Prime Rate | Maximum              
Line Of Credit Facility [Line Items]              
Interest rate basis 10.70%            
Term Loan 2020 | Prepayment Occurs Prior to First Anniversary of Closing Date              
Line Of Credit Facility [Line Items]              
Percentage of prepayment penalty   2.00%          
Term Loan 2020 | Outstanding principle and advances under the loans agreement exceeds 55 million              
Line Of Credit Facility [Line Items]              
Minimum cash to be maintain as a first priority security interest   $ 40,000,000.0          
Period of unpaid invoices amount maintain as security   180 days          
Long term debt increase decrease threshold amount   $ 40,000,000.0          
Long term debt upon milestone achievement amount   25,000,000.0          
Term Loan 2020 | Outstanding principle and advances under the loans agreement exceeds 65 million              
Line Of Credit Facility [Line Items]              
Minimum amount of market capital to be maintained   $ 1,000,000,000.0          
Minimum percentage of cash to be maintained as a security following market capitalization condition   50.00%          
Minimum percentage of cash to be maintained as a security   85.00%          
Term Loan 2020 | Outstanding principle and advances under the loans agreement exceeds 65 million | AXS-05 and AXS-07              
Line Of Credit Facility [Line Items]              
Minimum product revenue percent   60.00%          
Term Loan 2020 | Prepayment Occurs on or After First Anniversary and Prior to Second Anniversary of the Closing Date              
Line Of Credit Facility [Line Items]              
Percentage of prepayment penalty   1.50%          
Term Loan 2020 | Prepayment Occurs on or After Second Anniversary and Prior to Third Anniversary of Closing Date              
Line Of Credit Facility [Line Items]              
Percentage of prepayment penalty   1.00%          
Term loan 2020 tranche one              
Line Of Credit Facility [Line Items]              
Maximum loan amount   $ 60,000,000.0          
Remaining credit facility to be drawn             $ 95,000,000.0
Term loan 2020 tranche one | Second Amendment To Loan and Security Agreement              
Line Of Credit Facility [Line Items]              
Maximum loan amount             45,000,000.0
Term loan 2020 tranche two              
Line Of Credit Facility [Line Items]              
Maximum loan amount $ 100,000,000.0            
Term loan 2020 tranche three              
Line Of Credit Facility [Line Items]              
Maximum loan amount 20,000,000.0            
Tranche Two Sub-Tranche One              
Line Of Credit Facility [Line Items]              
Maximum loan amount             35,000,000.0
Tranche Two Sub-Tranche Two              
Line Of Credit Facility [Line Items]              
Maximum loan amount             35,000,000.0
Tranche Two Sub-Tranche Three              
Line Of Credit Facility [Line Items]              
Maximum loan amount             30,000,000.0
Tranche Three Sub Tranche One              
Line Of Credit Facility [Line Items]              
Maximum loan amount             15,000,000.0
Tranche Three Sub Tranche Two              
Line Of Credit Facility [Line Items]              
Maximum loan amount             5,000,000.0
Term loan 2020 tranche four              
Line Of Credit Facility [Line Items]              
Maximum loan amount 55,000,000.0           50,000,000.0
Term loan 2020 tranche five              
Line Of Credit Facility [Line Items]              
Maximum loan amount             $ 35,000,000.0
Remaining credit facility to be drawn $ 75,000,000.0