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Employee Savings Plan - Additional Information (Details) - USD ($) $ in Millions		12 Months Ended
	Jan. 01, 2021	Dec. 31, 2021
Retirement Benefits [Abstract]
Percentage of non-matching employer contributions	3.00%
Matching contribution expense		$ 0.5

X

- Definition

Defined contribution plan employer non matching contribution percent.

+ References

No definition available.

+ Details

Name:	rptx_DefinedContributionPlanEmployerNonMatchingContributionPercent
Namespace Prefix:	rptx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_CompensationAndRetirementDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of discretionary contributions made by an employer to a defined contribution plan.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration