I thought to myself, (Qu1) how much additional melting from May 14 is required to get to the 2012 or the 2007 sea ice extent minimum. Then I asked myself (Qu2), in previous years, what melting has happened from May 14 to those years' minima. Answer in table below (Jaxa data).
Only in 2012 was the additional melting more than required for 2017 to be a new record minimum, and for the 2007 result only in 2012 and 2007. I also look at the images and data all over ASIF, and yes, they do show what a mess the arctic ice is in. This little table does, however, give some indication of the extent to which the rest of the melting season would have to be out of the ordinary for a record low sea ice extent. ( Needs must I now duck).
Qu1.
For 2012 Result 8,891,439
For 2007 Result 8,003,155
Qu2.
Previous Years' Actual melting May 14 to minimum
1980's Average 6,088,155
1990's Average 6,373,434
2000's Average 6,987,172
2003 6,544,668
2004 6,324,802
2005 7,211,275
2006 6,354,975
2007 8,141,722
2008 7,956,679
2009 7,656,049
2010 7,723,227
2011 7,886,188
2012 9,282,412
2013 7,811,689
2014 7,175,806
2015 7,634,353
2016 7,276,462