Hello I have 2 S4's and prefer to use Eligius, but I'm also having tons of trouble with that combo. I don't have any solutions, but wanted to provide data from my equipment for confirmation of the problem.
TESTING:
Run the miners on separate pools for 5 minute increments and compare results. I also have 2 S3 Upgrades running in the same 5 min increment for comparison. All 4 miners are restarted together then when they read 5 min of uptime i took a screenshot of MultiMiner, which shows all the details.
Below is a link to 2 screenshots of the S4s running on Eligius vs Eclipse. Note the accepted shares and "Effective Hashrate"
http://1drv.ms/1E6MPRVIf the link doesn't treat u well, here is the data.
THE 5 MINUTE HASH (sounds like breakfast)
ACCEPTED SHARES
S3A S3B S4A S4B
Eclipse 145 144 328 272
Eligius 149 187 48 57
EFFECTIVE HASHRATE
S3A S3B S4A S4B
Eclipse 525GH/s 428GH/s 1650GH/s 1610GH/s
Eligius 407GH/s 426GH/s 89GH/s 106GH/s
Well that's not good. Sounds like they pushed the chips too hard. Maybe should have increased the number of chips and reduced W/GH. I'm going to wait for AM's Prism. Lower cost per GH with about the same efficiency.