Average Error: 62.0 → 62.0
Time: 2.8s
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 r1376732 = x;
        double r1376733 = lo;
        double r1376734 = r1376732 - r1376733;
        double r1376735 = hi;
        double r1376736 = r1376735 - r1376733;
        double r1376737 = r1376734 / r1376736;
        return r1376737;
}
↓
double f(double lo, double hi, double x) {
        double r1376738 = x;
        double r1376739 = lo;
        double r1376740 = r1376738 - r1376739;
        double r1376741 = hi;
        double r1376742 = r1376741 - r1376739;
        double r1376743 = r1376740 / r1376742;
        return r1376743;
}

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 2019162 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))