The picture shows a serious infection. You may not see any of those white mucus filaments in your stools but if you do an enema after a poop you probably will see some. The majority of the yeast lives in the cecum which is a the beginning of the colon. And if you have even slight constipation the delicate yeast will get so compacted into the poop that you won't see it at all (but it's there).

This is definitely yeast. I started apple cider vinegar (very diluted - 1-2 tsp per quart) enemas a few weeks ago and this stuff started becoming a regular occurance in my toilet. It was extremely stringy and white at first, like roots, but as time does on it has gotten more like the stuff you posted. it was disturbing how much there was. The last two times were the worst with some of it looking grayish. The good news for you is the coconut oil is working. I suggest coffee enemas also to alleviate the die-off affect ( coffee enema cleanses the liver of toxins from fungal die-off). I believe it is essential to continue because for me, as soon as the candida wasn't so bad, then I started passing tons of parasites and eggs, which has never happened before - even with parasite cleanse products. I guess the candida was keeping it trapped. No wonder I was so sick for so long.