Average Error: 62.0 → 62.0
Time: 3.5s
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 r16556 = x;
        double r16557 = lo;
        double r16558 = r16556 - r16557;
        double r16559 = hi;
        double r16560 = r16559 - r16557;
        double r16561 = r16558 / r16560;
        return r16561;
}
↓
double f(double lo, double hi, double x) {
        double r16562 = x;
        double r16563 = lo;
        double r16564 = r16562 - r16563;
        double r16565 = hi;
        double r16566 = r16565 - r16563;
        double r16567 = r16564 / r16566;
        return r16567;
}

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 2019195 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))