Export Profiler Information

With a look into the ProfilerWindow class on the decompiled unity code (which you may find online) you can easily write a script that exports the data you need.

The script might look like this

 using UnityEditor;
 using UnityEditorInternal;

 var firstFrameIndex = ProfilerDriver.firstFrameIndex;
 var lastFrameIndex = ProfilerDriver.lastFrameIndex;
 var profilerSortColumn = ProfilerColumn.TotalTime;
 var viewType = ProfilerViewType.Hierarchy;

 var profilerData = new ProfilerData();
 for (int frameIndex = firstFrameIndex; frameIndex <= lastFrameIndex; ++frameIndex)
 {
     var property = new ProfilerProperty();
     property.SetRoot(frameIndex, profilerSortColumn, viewType);
     property.onlyShowGPUSamples = false;
     bool enterChildren = true;

     while (property.Next(enterChildren))
     {
          // get all the desired ProfilerColumn
          var name = property.GetColumn(ProfilerColumn.FunctionName);
          var totalTime = property.GetColumn(ProfilerColumn.TotalTime);
          // store values somewhere
     }

     property.Cleanup();
 }

If you want, you can use this script that allows you to export the data as a JSON file and provides also some useful stats when you are profiling.