So I got a pair of Adidas Pureboost DPR, thanks to the information in this thread. It's a pretty interesting shoe, I'm sure what to make of it yet. I went for a short fartlek and then ran some easy miles with the running club and then ran home at my normal training pace. Worked well for different speeds, but might not be the best for faster intervals and such. I anticipate that will work for moderate runs, easy runs, maybe stuff no faster than half marathon pace. Not sure how it will hold up for long runs at this point.
The shoe itself is one of the more unique running shoes that I have ever tried. Pureboost is definitely a good name, because this thing is all midsole and outsole, with minimal structure. The midsole is all Boost, I can't discern any other materials in there. The outsole has the same pattern as the Supernova and similar, with the alternating pattern of circular contact patches and exposed squares of Boost. Unlike many Adidas Boost shoes, there is not any type of plastic support structure in the arch area. And the outsole is wider than what you find in the Boston and Adios, for example.
The upper is knit and thin with some only reinforcement up front, the tongue is thin and light, the laces are flat and light, the cushioning around the heel is minimal, the insole is thin with the Boost starting right underneath. The only substantial part of the upper is the outside plastic heel thingies that I assume are there to secure the fit around the heel.
The fit is a bit uncommon. I went a half size down as many reviews recommended, and it still a little too longer in the toe area, but fits well elsewhere. It's really only the big toe that is too long, the other toes are fine. If I went a full size down, I think the length would be right but the rest of the shoe would be too tight. Because the upper is minimal, the fit might a little loose for some people. I have all the eyelets laced, including the last one that many people don't lace, and it is tight enough with that setup.
As for the overall feel, I like it. As Micah True would say, I can run easy, light, and free. With the very simplified construction in the midsole/outsole, the shoe is quite flexible as compared to something like the Adidas Boston or Adios. The wider forefoot might offer more balance and comfort for slower running. I am finding that I like shoes with minimal cushion and structure in the upper and a lack of any arch or medial support integrated into the midsole/outsole. So the minimal upper and simple design of the midsole/outsole work well for me. But it might not be for everyone.
My biggest worry is durability. The toe area of the upper is quite shallow, so I wonder if my big toe will form a hole. I wonder how the completely Boost midsole will hold up without an EVA layer or any support structures. The outsole is not the Continental rubber, and while I think the Continental branding is mostly a marketing gimmick, I am not sure if this outsole has the same durable hardness as the Continental branded Adidas shoes. If you look at pictures, the edges of the forefoot have two thin strips of different colored rubber, and I think it is a softer, less durable rubber. Time will tell.
In conclusion, these are not your typical running shoes. But if you like Boost material and minimal overall structure on the shoe, these might be worth a try.