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Commitments and Contingencies - Summary of Contractual Obligations (Detail) $ in Thousands	Sep. 30, 2024 USD ($)
Contractual Obligation Fiscal Year Maturity Schedule [Line Items]
Total	$ 22
Less than 1 year	22
Vancouver Office Operating Lease [Member]
Contractual Obligation Fiscal Year Maturity Schedule [Line Items]
Total	22
Less than 1 year	$ 22

X

- Definition

Contractual obligation fiscal year maturity schedule.

+ References

No definition available.

+ Details

Name:	achv_ContractualObligationFiscalYearMaturityScheduleLineItems
Namespace Prefix:	achv_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of contractual obligation, including, but not limited to, long-term debt, lease obligation, purchase obligation, and other commitments.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-3

+ Details

Name:	us-gaap_ContractualObligation
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Amount of contractual obligation to be paid in next fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

+ References

No definition available.

+ Details

Name:	us-gaap_ContractualObligationDueInNextTwelveMonths
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Details

Name:	us-gaap_TypeOfArrangementAxis=achv_VancouverOfficeOperatingLeaseMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: