Average Error: 62.0 → 62.0
Time: 1.6s
Precision: 64
\[lo \lt -1 \cdot 10^{308} \land hi \gt 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r172985 = x;
        double r172986 = lo;
        double r172987 = r172985 - r172986;
        double r172988 = hi;
        double r172989 = r172988 - r172986;
        double r172990 = r172987 / r172989;
        return r172990;
}
↓
double f(double lo, double hi, double x) {
        double r172991 = x;
        double r172992 = lo;
        double r172993 = r172991 - r172992;
        double r172994 = hi;
        double r172995 = r172994 - r172992;
        double r172996 = r172993 / r172995;
        return r172996;
}

Error

Bits error versus lo

Bits error versus hi

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.0

    \[\frac{x - lo}{hi - lo}\]

  2. Final simplification62.0

    \[\leadsto \frac{x - lo}{hi - lo}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))