Average Error: 62.0 → 62.0
Time: 4.3s
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 r148255 = x;
        double r148256 = lo;
        double r148257 = r148255 - r148256;
        double r148258 = hi;
        double r148259 = r148258 - r148256;
        double r148260 = r148257 / r148259;
        return r148260;
}
↓
double f(double lo, double hi, double x) {
        double r148261 = x;
        double r148262 = lo;
        double r148263 = r148261 - r148262;
        double r148264 = hi;
        double r148265 = r148264 - r148262;
        double r148266 = r148263 / r148265;
        return r148266;
}

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 2019129 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))