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You cant get more than that on a log-file. You could play with sampling settings to get more DC datapoints by setting it to 4000* hertz, 32 samples and logging interval to “no wait”. It gives you about ten results per second. Those are not peak values, just an average of those 32 samples at 4000 Hz rate, which is then saved to the memory card and then that same loop starts again by sampling next 32 points in time etc. Basically you measure for ~8 milliseconds and then process that data for ~80 milliseconds and then start again. AC needs more data and processing, so it is slower.
* there is also 8 kHz setting, but it might be unstable and might give some glitches to your data.
Anything else you see on your phone is calculated on the fly by your phone. Mooshimeter only streams “raw” data for it (which you can’t log). Screen capture might help, but then you need to do your analyzing visually.