Average Error: 62.0 → 62.0
Time: 2.4s
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 r16844 = x;
        double r16845 = lo;
        double r16846 = r16844 - r16845;
        double r16847 = hi;
        double r16848 = r16847 - r16845;
        double r16849 = r16846 / r16848;
        return r16849;
}
↓
double f(double lo, double hi, double x) {
        double r16850 = x;
        double r16851 = lo;
        double r16852 = r16850 - r16851;
        double r16853 = hi;
        double r16854 = r16853 - r16851;
        double r16855 = r16852 / r16854;
        return r16855;
}

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)))