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Note 6 - Accrued Expenses (Details Textual) $ in Millions	Jun. 30, 2024 USD ($)
Accrued Manufacturing Expenses	$ 4.6
Accrued Clinical Expenses	$ 4.5

X

- Definition

The amount of accrued clinical expenses.

+ References

No definition available.

+ Details

Name:	cmpx_AccruedClinicalExpenses
Namespace Prefix:	cmpx_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

The amount of accrued manufacturing expenses.

+ References

No definition available.

+ Details

Name:	cmpx_AccruedManufacturingExpenses
Namespace Prefix:	cmpx_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant