Here’s an example of feeds and speeds for a cut I did in plywood with a 1/8th compression endmill similar to yours
More generally speaking, if you are breaking bits you may be cutting too deep (excessive deflection is the #1 cause for tool breakage) or running an inappropriate chipload.
0.001" is almost always a safe spot, and you can determine the associated feedrate by multiplying the chipload by the RPM and number of flutes.
Keep it simple, pick a RPM value you can bear, say 18.000 RPM
Your tool has 2 flutes.
Hence feedrate should be 0.001 * 18000 * 2 = 36ipm
For depth of cut , 50% of the endmill diameter is the universal safe setting.
Note that compression bits are special, they work best when the full length of cut is engaged, so in a way they are trickier to use that other endmills