Average Error: 62.0 → 62.0
Time: 1.5s
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 r191 = x;
        double r192 = lo;
        double r193 = r191 - r192;
        double r194 = hi;
        double r195 = r194 - r192;
        double r196 = r193 / r195;
        return r196;
}
↓
double f(double lo, double hi, double x) {
        double r197 = x;
        double r198 = lo;
        double r199 = r197 - r198;
        double r200 = hi;
        double r201 = r200 - r198;
        double r202 = r199 / r201;
        return r202;
}

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 2020025 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))