Average Error: 62.0 → 62.0
Time: 736.0ms
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 r3980 = x;
        double r3981 = lo;
        double r3982 = r3980 - r3981;
        double r3983 = hi;
        double r3984 = r3983 - r3981;
        double r3985 = r3982 / r3984;
        return r3985;
}
↓
double f(double lo, double hi, double x) {
        double r3986 = x;
        double r3987 = lo;
        double r3988 = r3986 - r3987;
        double r3989 = hi;
        double r3990 = r3989 - r3987;
        double r3991 = r3988 / r3990;
        return r3991;
}

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 2020020 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))