These tools run FFmpeg compiled to WebAssembly, so format conversion, trimming, merging, speed changes and resampling all happen in the browser instead of on a server. Audio-to-text runs an open-source Whisper model in-page, and stem splitting runs its separation model the same way.
The cost is that the compute is yours: transcribing or splitting a few minutes of audio can take a long wait, where the same file converts format in seconds.