Average Error: 62.0 → 62.0
Time: 4.2s
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r10562 = x;
        double r10563 = lo;
        double r10564 = r10562 - r10563;
        double r10565 = hi;
        double r10566 = r10565 - r10563;
        double r10567 = r10564 / r10566;
        return r10567;
}
↓
double f(double lo, double hi, double x) {
        double r10568 = x;
        double r10569 = lo;
        double r10570 = r10568 - r10569;
        double r10571 = hi;
        double r10572 = r10571 - r10569;
        double r10573 = r10570 / r10572;
        return r10573;
}

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 2019323 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))