1. A system, comprising: a memory; and a processing device communicably coupled to the memory, the processing device comprising a floating point unit (FPU) to: generate a result value from applying an operation on floating point number inputs to the FPU; generate an error value using the result value; write the result value to a first register of the processing device dedicated to storing results from the operation of the FPU; and write the error value to a second register of the processing device dedicated to storing errors from the operation of the FPU, wherein the second register is separate from the first register.