<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.24.2.u1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>241</ContextCount>
  <ElementCount>348</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>71</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>7</UnitCount>
  <MyReports>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>100000 - Document - Document and Entity Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DocumentDocumentAndEntityInformation</Role>
      <ShortName>Document and Entity Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>100010 - Statement - Condensed Consolidated Balance Sheets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_StatementCondensedConsolidatedBalanceSheets</Role>
      <ShortName>Condensed Consolidated Balance Sheets</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>100030 - Statement - Condensed Consolidated Balance Sheets (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_StatementCondensedConsolidatedBalanceSheetsParenthetical</Role>
      <ShortName>Condensed Consolidated Balance Sheets (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>100050 - Statement - Condensed Consolidated Statements of Operations and Comprehensive Income (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/StatementCondensedConsolidatedStatementsOfOperationsAndComprehensiveIncomeUnaudited3</Role>
      <ShortName>Condensed Consolidated Statements of Operations and Comprehensive Income (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>100060 - Statement - Condensed Consolidated Statements of Convertible Preferred Stock and Equity (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/StatementCondensedConsolidatedStatementsOfConvertiblePreferredStockAndEquityUnaudited</Role>
      <ShortName>Condensed Consolidated Statements of Convertible Preferred Stock and Equity (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>100070 - Statement - Condensed Consolidated Statements of Cash Flows (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_StatementCondensedConsolidatedStatementsOfCashFlowsUnaudited</Role>
      <ShortName>Condensed Consolidated Statements of Cash Flows (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>995410 - Disclosure - Pay vs Performance Disclosure</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/PvpDisclosure</Role>
      <ShortName>Pay vs Performance Disclosure</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>995445 - Disclosure - Insider Trading Arrangements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements</Role>
      <ShortName>Insider Trading Arrangements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>995455 - Disclosure - Nature of Operations and Liquidity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureNatureOfOperationsAndLiquidity</Role>
      <ShortName>Nature of Operations and Liquidity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>995465 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureSummaryOfSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>995475 - Disclosure - Fair Value Measurements and Financial Instruments</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstruments</Role>
      <ShortName>Fair Value Measurements and Financial Instruments</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>995485 - Disclosure - Balance Sheet Components</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponents</Role>
      <ShortName>Balance Sheet Components</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>995495 - Disclosure - Intangible Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIntangibleAssets</Role>
      <ShortName>Intangible Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>995505 - Disclosure - Revenue</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureRevenue</Role>
      <ShortName>Revenue</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>995515 - Disclosure - Leases</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureLeases</Role>
      <ShortName>Leases</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>995525 - Disclosure - Stockholders' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockholdersEquity1</Role>
      <ShortName>Stockholders' Equity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>995535 - Disclosure - Convertible Preferred Stock</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureConvertiblePreferredStock</Role>
      <ShortName>Convertible Preferred Stock</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>995545 - Disclosure - Stock Based Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureStockBasedCompensation</Role>
      <ShortName>Stock Based Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>995555 - Disclosure - Net Income per Share ("EPS") Attributable to Common Stockholders</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholders</Role>
      <ShortName>Net Income per Share ("EPS") Attributable to Common Stockholders</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>995565 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureCommitmentsAndContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>995575 - Disclosure - Income Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureIncomeTaxes</Role>
      <ShortName>Income Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>995585 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureRelatedPartyTransactions</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>995595 - Disclosure - Employee Benefit Plans</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureEmployeeBenefitPlans</Role>
      <ShortName>Employee Benefit Plans</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>995605 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureSegmentInformation</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>995615 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureSubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>25</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>995625 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureSummaryOfSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>26</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>995635 - Disclosure - Fair Value Measurements and Financial Instruments (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstrumentsTables</Role>
      <ShortName>Fair Value Measurements and Financial Instruments (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstruments</ParentRole>
      <Position>27</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>995645 - Disclosure - Balance Sheet Components (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponentsTables</Role>
      <ShortName>Balance Sheet Components (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponents</ParentRole>
      <Position>28</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>995655 - Disclosure - Intangible Assets (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIntangibleAssetsTables</Role>
      <ShortName>Intangible Assets (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIntangibleAssets</ParentRole>
      <Position>29</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>995675 - Disclosure - Leases (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureLeasesTables</Role>
      <ShortName>Leases (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureLeases</ParentRole>
      <Position>30</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>995685 - Disclosure - Stockholders' Equity (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockholdersEquityTables</Role>
      <ShortName>Stockholders' Equity (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockholdersEquity1</ParentRole>
      <Position>31</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>995695 - Disclosure - Stock Based Compensation (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureStockBasedCompensationTables</Role>
      <ShortName>Stock Based Compensation (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureStockBasedCompensation</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>995705 - Disclosure - Net Income per Share ("EPS") Attributable to Common Stockholders (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholdersTables</Role>
      <ShortName>Net Income per Share ("EPS") Attributable to Common Stockholders (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholders</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>995715 - Disclosure - Income Taxes (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIncomeTaxesTables</Role>
      <ShortName>Income Taxes (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureIncomeTaxes</ParentRole>
      <Position>34</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>995725 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureSegmentInformationTables</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureSegmentInformation</ParentRole>
      <Position>35</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>995735 - Disclosure - Nature of Operations and Liquidity - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureNatureOfOperationsAndLiquidityAdditionalInformationDetail</Role>
      <ShortName>Nature of Operations and Liquidity - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>36</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>995745 - Disclosure - Summary of Significant Accounting Policies - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureSummaryOfSignificantAccountingPoliciesAdditionalInformationDetail</Role>
      <ShortName>Summary of Significant Accounting Policies - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>37</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>995755 - Disclosure - Fair Value Measurements and Financial Instruments - Financial Assets and Liabilities Measured at Fair Value (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstrumentsFinancialAssetsAndLiabilitiesMeasuredAtFairValueDetail</Role>
      <ShortName>Fair Value Measurements and Financial Instruments - Financial Assets and Liabilities Measured at Fair Value (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>38</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>995765 - Disclosure - Fair Value Measurements and Financial Instruments - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstrumentsAdditionalInformationDetail</Role>
      <ShortName>Fair Value Measurements and Financial Instruments - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>39</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>995775 - Disclosure - Fair Value Measurements and Financial Instruments - Summary of Assumptions to Fair Value of Warrant Liability Based on Black-Scholes Option Pricing Model (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstrumentsSummaryOfAssumptionsToFairValueOfWarrantLiabilityBasedOnBlackscholesOptionPricingMo</Role>
      <ShortName>Fair Value Measurements and Financial Instruments - Summary of Assumptions to Fair Value of Warrant Liability Based on Black-Scholes Option Pricing Model (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>40</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>995785 - Disclosure - Fair Value Measurements and Financial Instruments - Changes in Estimated Fair Value of Level 3 Financial Assets and Liabilities (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstrumentsChangesInEstimatedFairValueOfLevel3FinancialAssetsAndLiabilitiesDetail</Role>
      <ShortName>Fair Value Measurements and Financial Instruments - Changes in Estimated Fair Value of Level 3 Financial Assets and Liabilities (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>41</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>995795 - Disclosure - Fair Value Measurements and Financial Instruments - Cash Equivalents (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureFairValueMeasurementsAndFinancialInstrumentsCashEquivalentsDetail</Role>
      <ShortName>Fair Value Measurements and Financial Instruments - Cash Equivalents (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>42</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>995805 - Disclosure - Balance Sheet Components - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponentsAdditionalInformationDetail</Role>
      <ShortName>Balance Sheet Components - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>43</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>995815 - Disclosure - Balance Sheet Components - Schedule of Inventories, Net of Reserves (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponentsScheduleOfInventoriesNetOfReservesDetail</Role>
      <ShortName>Balance Sheet Components - Schedule of Inventories, Net of Reserves (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>44</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>995825 - Disclosure - Balance Sheet Components - Schedule of Accrued Expenses and Other Current Liabilities (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponentsScheduleOfAccruedExpensesAndOtherCurrentLiabilitiesDetail</Role>
      <ShortName>Balance Sheet Components - Schedule of Accrued Expenses and Other Current Liabilities (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>45</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>995835 - Disclosure - Balance Sheet Components - Schedule of Accounts and Note Receivables, Net (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponentsScheduleOfAccountsAndNoteReceivablesNetDetail</Role>
      <ShortName>Balance Sheet Components - Schedule of Accounts and Note Receivables, Net (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>995845 - Disclosure - Balance Sheet Components - Schedule of Property and Equipment, Net (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureBalanceSheetComponentsScheduleOfPropertyAndEquipmentNetDetail</Role>
      <ShortName>Balance Sheet Components - Schedule of Property and Equipment, Net (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>995855 - Disclosure - Intangible Assets - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIntangibleAssetsAdditionalInformationDetail</Role>
      <ShortName>Intangible Assets - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>48</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>995865 - Disclosure - Intangible Assets - Schedule of Carrying Amounts and Accumulated Amortization of Intangible Assets (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIntangibleAssetsScheduleOfCarryingAmountsAndAccumulatedAmortizationOfIntangibleAssetsDetail</Role>
      <ShortName>Intangible Assets - Schedule of Carrying Amounts and Accumulated Amortization of Intangible Assets (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>49</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>995875 - Disclosure - Intangible Assets - Schedule of Estimated Future Amortization Expense (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIntangibleAssetsScheduleOfEstimatedFutureAmortizationExpenseDetail</Role>
      <ShortName>Intangible Assets - Schedule of Estimated Future Amortization Expense (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>50</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>995885 - Disclosure - Revenue - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureRevenueAdditionalInformationDetail</Role>
      <ShortName>Revenue - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>51</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>995905 - Disclosure - Lease - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureLeaseAdditionalInformationDetail</Role>
      <ShortName>Lease - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>52</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>995915 - Disclosure - Leases - Schedule of Supplemental Cash Flow Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureLeasesScheduleOfSupplementalCashFlowInformationDetail</Role>
      <ShortName>Leases - Schedule of Supplemental Cash Flow Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>995925 - Disclosure - Leases - Schedule of Present Value Assumptions used in Calculating Present Value of Lease Payments (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureLeasesScheduleOfPresentValueAssumptionsUsedInCalculatingPresentValueOfLeasePaymentsDetail</Role>
      <ShortName>Leases - Schedule of Present Value Assumptions used in Calculating Present Value of Lease Payments (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>995935 - Disclosure - Leases - Schedule of Maturity of Operating Lease Liabilities (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureLeasesScheduleOfMaturityOfOperatingLeaseLiabilitiesDetail3</Role>
      <ShortName>Leases - Schedule of Maturity of Operating Lease Liabilities (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>55</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>995945 - Disclosure - Stockholders' Equity - Schedule of Common Stock, Reserved for Future Issuance (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockholdersEquityScheduleOfCommonStockReservedForFutureIssuanceDetail</Role>
      <ShortName>Stockholders' Equity - Schedule of Common Stock, Reserved for Future Issuance (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>56</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R57.htm</HtmlFileName>
      <LongName>995955 - Disclosure - Stockholders' Equity - Schedule of Common Stock, Reserved for Future Issuance (Parenthetical) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockholdersEquityScheduleOfCommonStockReservedForFutureIssuanceParentheticalDetails</Role>
      <ShortName>Stockholders' Equity - Schedule of Common Stock, Reserved for Future Issuance (Parenthetical) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>57</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R58.htm</HtmlFileName>
      <LongName>995965 - Disclosure - Stockholders' Equity - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockholdersEquityAdditionalInformationDetail</Role>
      <ShortName>Stockholders' Equity - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>58</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R59.htm</HtmlFileName>
      <LongName>995975 - Disclosure - Convertible Preferred Stock - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureConvertiblePreferredStockAdditionalInformationDetail</Role>
      <ShortName>Convertible Preferred Stock - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>59</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R60.htm</HtmlFileName>
      <LongName>995985 - Disclosure - Stock Based Compensation - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail</Role>
      <ShortName>Stock Based Compensation - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>60</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R61.htm</HtmlFileName>
      <LongName>995995 - Disclosure - Stock Based Compensation - Summary of Stock Option Activity (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockBasedCompensationSummaryOfStockOptionActivityDetail</Role>
      <ShortName>Stock Based Compensation - Summary of Stock Option Activity (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>61</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R62.htm</HtmlFileName>
      <LongName>996005 - Disclosure - Stock Based Compensation - Fair Values of Stock Options Granted Estimated Using Black-Scholes Valuation Model (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureStockBasedCompensationFairValuesOfStockOptionsGrantedEstimatedUsingBlackscholesValuationModelDetail</Role>
      <ShortName>Stock Based Compensation - Fair Values of Stock Options Granted Estimated Using Black-Scholes Valuation Model (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>62</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R63.htm</HtmlFileName>
      <LongName>996015 - Disclosure - Stock Based Compensation - Summary of Stock-Based Compensation Expense Recognized (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseRecognizedDetail</Role>
      <ShortName>Stock Based Compensation - Summary of Stock-Based Compensation Expense Recognized (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>63</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R64.htm</HtmlFileName>
      <LongName>996025 - Disclosure - Net Income per Share ("EPS") Attributable to Common Stockholders - Basic and Diluted EPS Attributable to Common Stockholders (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholdersBasicAndDilutedEpsAttributableToCommonStockholdersDetail</Role>
      <ShortName>Net Income per Share ("EPS") Attributable to Common Stockholders - Basic and Diluted EPS Attributable to Common Stockholders (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholdersTables</ParentRole>
      <Position>64</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R65.htm</HtmlFileName>
      <LongName>996035 - Disclosure - Net Income per Share ("EPS") Attributable to Common Stockholders - Anti-dilutive Security not Included In Diluted per Share Calculations (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholdersAntidilutiveSecurityNotIncludedInDilutedPerShareCalculationsDetail</Role>
      <ShortName>Net Income per Share ("EPS") Attributable to Common Stockholders - Anti-dilutive Security not Included In Diluted per Share Calculations (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.gyretx.com/20240630/taxonomy/role/DisclosureNetIncomePerShareEpsAttributableToCommonStockholdersTables</ParentRole>
      <Position>65</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R66.htm</HtmlFileName>
      <LongName>996045 - Disclosure - Commitments and Contingencies - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail</Role>
      <ShortName>Commitments and Contingencies - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>66</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R67.htm</HtmlFileName>
      <LongName>996055 - Disclosure - Income Taxes - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/Role_DisclosureIncomeTaxesAdditionalInformationDetail</Role>
      <ShortName>Income Taxes - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>67</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R68.htm</HtmlFileName>
      <LongName>996065 - Disclosure - Income Taxes - Schedule of Income Tax Provision and Effectie Tax Rate (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureIncomeTaxesScheduleOfIncomeTaxProvisionAndEffectieTaxRateDetail</Role>
      <ShortName>Income Taxes - Schedule of Income Tax Provision and Effectie Tax Rate (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>68</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R69.htm</HtmlFileName>
      <LongName>996075 - Disclosure - Related Party Transactions - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureRelatedPartyTransactionsAdditionalInformationDetail</Role>
      <ShortName>Related Party Transactions - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>69</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R70.htm</HtmlFileName>
      <LongName>996085 - Disclosure - Employee Benefit Plans - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureEmployeeBenefitPlansAdditionalInformationDetail</Role>
      <ShortName>Employee Benefit Plans - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>70</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R71.htm</HtmlFileName>
      <LongName>996095 - Disclosure - Segment Information - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureSegmentInformationAdditionalInformationDetail</Role>
      <ShortName>Segment Information - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>71</Position>
    </Report>
    <Report instance="gyre-20240630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R72.htm</HtmlFileName>
      <LongName>996105 - Disclosure - Segment Information - Schedule of Segment Reporting Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.gyretx.com/20240630/taxonomy/role/DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail</Role>
      <ShortName>Segment Information - Schedule of Segment Reporting Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>72</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="10-Q" isDefinitelyFs="true" isUsgaap="true" original="gyre-20240630.htm">gyre-20240630.htm</File>
    <File>gyre-20240630.xsd</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="803">http://fasb.org/us-gaap/2023</BaseTaxonomy>
    <BaseTaxonomy items="30">http://xbrl.sec.gov/dei/2023</BaseTaxonomy>
    <BaseTaxonomy items="4">http://xbrl.sec.gov/ecd/2023</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>false</HasPresentationLinkbase>
  <HasCalculationLinkbase>false</HasCalculationLinkbase>
</FilingSummary>
