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Early Option Exercise Liability (Details) - USD ($) $ in Thousands	Jun. 30, 2021	Dec. 31, 2020
Disclosure Of Early Option Exercise Liability [Abstract]
Early option exercise liability	$ 38	$ 79
Number of unvested shares in which early option was exercised	8,767	29,041

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- Definition

Disclosure of early option exercise liability  [Abstract].

+ References

No definition available.

+ Details

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Namespace Prefix:	tpst_
Data Type:	xbrli:stringItemType
Balance Type:	na
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- Definition

Early option exercise liability.

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No definition available.

+ Details

Name:	tpst_EarlyOptionExerciseLiability
Namespace Prefix:	tpst_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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- Definition

Number of non-vested options outstanding.

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No definition available.

+ Details

Name:	us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant