Average Error: 62.0 → 62.0
Time: 753.0ms
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 r5810 = x;
        double r5811 = lo;
        double r5812 = r5810 - r5811;
        double r5813 = hi;
        double r5814 = r5813 - r5811;
        double r5815 = r5812 / r5814;
        return r5815;
}
↓
double f(double lo, double hi, double x) {
        double r5816 = x;
        double r5817 = lo;
        double r5818 = r5816 - r5817;
        double r5819 = hi;
        double r5820 = r5819 - r5817;
        double r5821 = r5818 / r5820;
        return r5821;
}

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 2020039 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))