Double neutron star ( DNS ) systems are produced from massive binaries .
A supernova ( SN ) explosion of an extremely stripped star is expected to occur at the final stage of DNS formation .
This type of SN is called an ultra-stripped SN ( USSN ) .
Recent research revealed that a type Ic SN , iPTF 14gqr ( SN 2014ft ) , has low ejecta mass ( \approx 0.2 ~ { } \mathrm { M } _ { \odot } ) and its progenitor has a helium envelope with its mass \sim 0.01 ~ { } \mathrm { M } _ { \odot } .
This SN is interpreted as a USSN , and thus this is the first discovery of a USSN .
Furthermore , the observation of iPTF 14gqr provides us with some information about its formation history .
Here , we perform rapid population synthesis calculations so as to estimate the detection rate of iPTF 14gqr like USSNe with optical transient surveys : the intermediate Palomar Transient Factory ( iPTF ) , the Zwicky Transient Facility ( ZTF ) , and the Large Synoptic Survey Telescope ( LSST ) .
We find that iPTF , ZTF , and LSST can observe iPTF 14gqr like USSNe at the rates of 0.3 , 10 , and 1 \mathrm { yr } ^ { -1 } , respectively .
The iPTF can detect 1 iPTF 14gqr like USSN during its four year observation .
We also investigate effects of mass-loss efficiency during Roche-lobe overflow on formation channels .