Create a simple minimalist logo for an app called “HalfLight,” an AI dream journal app. The logo should be a circular sun split vertically or diagonally into two halves: one half warm, soft light representing sunrise, and the other half dark, calm, and moonlit representing night. Keep it clean, modern, and iconic, with smooth shapes and no unnecessary detail. The style should feel dreamy, peaceful, slightly mysterious, and premium. Use a simple color palette with warm gold/cream on the light side and deep navy/black/purple on the dark side. The logo should work well as an iOS app icon, be recognizable at small sizes, and have no text.