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Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit) (Unaudited) (Parenthetical) $ in Thousands	6 Months Ended
	Jun. 30, 2020 USD ($)
Statement of Stockholders' Equity [Abstract]
Stock Issuance Costs	$ 265

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- Definition

Stock issuance costs.

+ References

No definition available.

+ Details

Name:	tpst_StockIssuanceCosts
Namespace Prefix:	tpst_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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- References

No definition available.

+ Details

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