Full EI involves dosing KNO3 3 times a week @ 10ppm each dose. If no Nitrates are used this will give you a long term equilibrium of nitrates around 60 ppm (with 50% water changes) before fish food and rotting plant matter is included. Of course with plants some of the nitrates are used and with a stock of one betta recently added, some of your nitrates are being used. First question is does 40 ppm pose a problem? IME, the answer is no. Algae is fantastic at scavenging nutrients (and require a whole lot less than plants). My observations suggest most people believe that nutrients play a much bigger role than they I've ever been able to observe in my tanks. Could you cut back? Probably you can, for two reasons. First reason is you have a very low plant mass (for a "planted aquarium"). Its mathematically impossible for the plant mass you have, to have such a high demand for nutrients. Second reason is your testing results show a reading that is higher than absolutely necessary. The kicker here is, generally speaking, you probably shouldn't trust a "hobby" test kit very much. They're really not that accurate. Even lab grade test kits are calibrated before testing is done, did you calibrate yours? Do I believe your nitrate (or any other nutrient) level is the source of your problems? In a word, no.
What are the source of your problems?
1. New tank. All planted tanks go through an algae phase. Algae flourishes in unstable conditions. New tanks provide this. Fluctuating ammonia levels (and who knows what else) are a norm when you are dealing with new filters, changing bioloads, etc. To get by this takes elbow grease and patience. Eliminate algae as it grows manually, treat filters with extra caution, and know it's going to end.
2. Light. There always seems to be someone who can make something work, but I think you'd be hard put to find a successful planted tank that gets 15 hours of light. Somewhere around 8 is much more workable. I'm also curious about the intensity of light you have. Watts aren't very descriptive. 240 watts of incandescent isn't enough, 240 watts of t5HO with individual reflectors is way too much (or at least way more then needed).
3. Plant mass. All life forms try to dominate a system. Right now the plants and the algae are competing over which will dominate your tank. I'd increase your plant mass by a factor of 3. Fast growing plants preferred. Fast growing plants reflect good conditions quickly with new healthy growth. They can easily be pruned to eliminate algae. As the tank matures (stabilizes), plants can be eliminated and/or replaced by preferred species. Plant mass (or lack thereof) seems to play a large role in a successful planted tank start up, irregardless, of nutrient levels. Remember to keep your dosing consistent with your growth rates. You shouldn't need to add more nutrients then you are, but if you add bunches of fast growing plants, you probably shouldn't reduce them.
4. CO2. If your tank is high growth, you have to have good steady supply. If your tank is low growth, you need a steady supply. Get this fixed.
I realize a lot of this has already been suggested, just wanted to put it all together for you. Good luck.