You need this in your fieldset:
<input type="time" token="time_tok">
<change>
<eval token="time_tok_plusOneDay.earliest">if(isnum('time_tok.earliest'), relative_time('time_tok.earliest', "+1d"), relative_time(relative_time(now(), 'time_tok.earliest'), "+1d")</eval>
<eval token="time_tok_plusOneDay.latest">if(isnum('time_tok.latest'), relative_time('time_tok.latest', "+1d"), relative_time(relative_time(now(), 'time_tok.latest'), "+1d")</eval>
</change>
</input>
See this example dashboard:
<form>
<label>_temp</label>
<fieldset submitButton="false">
<input type="time" token="time_tok">
<label></label>
<default>
<earliest>-1d@d</earliest>
<latest>@d</latest>
</default>
<change>
<eval token="time_tok_plusOneDay.earliest">if(isnum('time_tok.earliest'), relative_time('time_tok.earliest', "+1d"), relative_time(relative_time(now(), 'time_tok.earliest'), "+1d")</eval>
<eval token="time_tok_plusOneDay.latest">if(isnum('time_tok.latest'), relative_time('time_tok.latest', "+1d"), relative_time(relative_time(now(), 'time_tok.latest'), "+1d")</eval>
</change>
</input>
</fieldset>
<row>
<panel>
<html>
<p>time_tok.earliest = $time_tok.earliest$</p>
<p>time_tok.latest = $time_tok.latest$</p>
<p>time_tok_plusOneDay.earliest = $time_tok_plusOneDay.earliest$</p>
<p>time_tok_plusOneDay.latest = $time_tok_plusOneDay.latest$</p>
</html>
</panel>
</row>
<row>
<panel>
<table>
<search>
<query>| makeresults | addinfo | eval foo="I run from ".strftime(info_min_time, "%F %T")." to ".strftime(info_max_time, "%F %T") | table foo</query>
<earliest>$time_tok_plusOneDay.earliest$</earliest>
<latest>$time_tok_plusOneDay.latest$</latest>
</search>
<option name="drilldown">none</option>
</table>
</panel>
</row>
</form>
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