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Subsequent Events - Additional Information (Detail) - Subsequent Event - NIDA |  | 1 Months Ended
--- | --- | ---
Aug. 01, 2021 USD ($) | Jul. 31, 2021 USD ($) Adult
Subsequent Event [Line Items] |  |
Grant received | $ 320,000 |
Next stage of grant award expected to receive upon completion of milestones |  | $ 2,500,000
Number of adult nicotine e-cigarette users | Adult |  | 150

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- Definition Grant received. + References No definition available. + Details
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Namespace Prefix: | achv_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Next stage of grant award expected to receive upon completion of milestones. + References No definition available. + Details
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Namespace Prefix: | achv_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Number of adult nicotine e-cigarette users. + References No definition available. + Details
Name: | achv_NumberOfAdultNicotineECigaretteUsers
Namespace Prefix: | achv_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

X
- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References No definition available. + Details
Name: | us-gaap_SubsequentEventLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_RegulatoryAgencyAxis=achv_NationalInstituteOnDrugAbuseMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |