Fortunately I soon came across a better machine. In May, while in China, by pure chance I met people from Lemote, which produces a laptop based on a variant of the MIPS processor. They say it contains no non-free software, and that seems to be true.
The Lemote machine I am using now is a prototype, and it has some inconveniences; for instance, it burns a great deal of electricity. I trust the production model will be better. Other companies in Europe and China are likewise planning to start selling cheap MIPS-based laptops soon. As a bonus, Windows does not run on the MIPS processor; it never has.