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Hi,
This is googled explanation for rewrite limitation.
"During rewrites, the gate oxide in the floating-gate transistors gradually accumulates trapped electrons. The electric field of the trapped electrons adds to the electrons in the floating gate, lowering the window between threshold voltages for zeros vs ones. After sufficient number of rewrite cycles, the difference becomes too small to be recognizable, the cell is stuck in programmed state, and endurance failure occurs."
Actually, EEPROM rewrite cycle can be much higher than 1000x, but EEPROM implemented in LED driver may be exposed worse conditions than discrete EEPROM in terms of temperature, space, and external noises. So, we want to specify much conservative numbers than actual performance.
Do you need to program EEPROM of LP8860 a few thousand times? I can't think of that kind of application cases.
You will need to program EEPROM to set register values as you want and burn 1 time, and it will be good enough.
If you need to change any register settings such as brightness and LED current, they are not EEPROM registers, but just regular register field, which is volatile. There is no limitation for the regular register field. You can write these registers unlimited times.