Comment by deater

well it depends on your error bars. On many modern system you can have +/- 5% variation or more run to run just due to the non-determinism present in modern CPU architectures and operating systems (even things like room temperature, time of day, the number of environment variables, etc, can affect this). While you could maybe run a set of careful experiments to characterize and remove this, in my experience most researchers don't bother. So something as small as 3% would need a lot of convincing to me to make the argument that it is significant.