This is a bit of a theoretical viewpoint
"High Dynamic Range" is an attempt to get over the inherent DR that sensors have. Expose for the mid-tones, and there's no shadow detail, and your highlights are blown out
HDR is an attempt to get round this by combining 3 or more shots exposed to capture highlight and shadow detail. But, we all knew that, so what's my beef?
"Tone Mapping" is an "Effect which increases local contrast. That's all you can do with a single shot. Applied sensitively, maybe masked with a straight shot as mentioned above, it can add drama and impact(Or be a complete mess if overdone)
Therefore my beef is, I wish people would use "Tone Mapping" when taking about an "Effect" that adds impact, and "HDR" when they are adding detail that their sensor can't quite handle.