The WICED SDK utilizes a 32-bit version of an Eclipse based IDE which requires a 32-bit version of JRE to be installed. If you have the 64-bit JRE installed you will need to install the 32-bit version as well. The JRE is designed to allow both 32 and 64 bit variants to be installed on the same system.
Java 32-bit and Java-64 bit can co-exist on the same machine. You need Java 32-bit for the IDE to function.
Refer to Installation Issues -- The update on Mar 16, 2014 11:17PM shows you where you can retrieve it (did not test the link to see if it still works)