One root, two faces that turn out to be one. In the simple verb ח־ל־ם is to dream; push it into the causative and it becomes to convalesce, to get well. Hebrew quietly links the two: sleep, the place of dreams, is also where the body mends. From here come the dream itself and the slow work of recovery. Every word below is verified against pealim, niqqud included.
The same root runs through the verb system. Each binyan is a voice: it bends the one idea into active, passive, causative or reciprocal. Tap to hear.
Only two binyanim are lexicalized here, and they carry the root's two senses: the plain pa'al for dreaming, the causative hif'il for getting well (literally "to bring oneself back to health"). The passive and intensive moulds exist in the system but are not used for this root.
Same root letters, different noun moulds (mishkalim). The mould tells you the function: who does it, the act of doing it, or the thing produced.
Strip the prefixes, suffixes and vowels. Three consonants remain, and the meaning lives there.