@@ -3,6 +3,7 @@ import importlib

 import asyncio

 from contextlib import suppress

 import datetime

+import random

 import warnings

@@ -150,6 +151,24 @@ def live_plot(runner, *, plotter=None, update_interval=2, name=None):

     return dm

+def should_update(status):

+    try:

+        # Get the length of the write buffer size

+        buffer_size = len(status.comm.kernel.iopub_thread._events)

+

+        # Make sure to only keep all the messages when the notebook

+        # is viewed, this means 'buffer_size == 1'. However, when not

+        # viewing the notebook the buffer fills up. When this happens

+        # we decide to only add messages to it when a certain probability.

+        # i.e. we're offline for 12h, with an update_interval of 0.5s,

+        # and without the reduced probability, we have buffer_size=86400.

+        # With the correction this is np.log(86400) / np.log(1.1) = 119.2

+        return 1.1**buffer_size * random.random() < 1

+    except Exception:

+        # We catch any Exception because we are using a private API.

+        return True

+

+

 def live_info(runner, *, update_interval=0.5):

     """Display live information about the runner.

@@ -172,7 +191,12 @@ def live_info(runner, *, update_interval=0.5):

     async def update():

         while not runner.task.done():

             await asyncio.sleep(update_interval)

-            status.value = _info_html(runner)

+

+            if should_update(status):

+                status.value = _info_html(runner)

+            else:

+                await asyncio.sleep(0.05)

+

         status.value = _info_html(runner)

         cancel.layout.display = 'none'