''Why is the interval package slow?''
All arithmetic interval operations are simulated in high-level octave language using floating-point routines, which is a lot slower than hardware implementations [https://books.google.de/books?id=JTc4XdXFnQIC&pg=PA61]. For example, for some tightly rounded results of vector and matrix operations the interval package has to simulate a [http://books.google.de/books?hl=de&id=I7X9EVfeV5EC&q=accumulator Kulisch accumulator], which introduces a computational overhead of factor 10. However, the Kulisch accumulator could be implemented in hardware and then outperform floating-point operations .
== Quick start introduction ==