Smiling Shark SS-5039 1 x AAA size flashlight, modification notes, Now 3 x 7135 with modes, on a BLF Tiny 10 board.

Per Microa

Yeah that tiny IC is a solid state version of the joule thief

AX5505-VFM synchronous Step-up DC/DC converter

I think that green resistor is actually a linear choke…a coil 100uH

here is a slightly larger but more powerful VFM voltage booster!
up too 200mA (drive a XR-E or XP-G at lower end power)
http://www.ricoh.com/LSI/product_power/dc_up/rp400x/index1.html