Average Error: 62.0 → 62.0
Time: 702.0ms
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 r15329 = x;
        double r15330 = lo;
        double r15331 = r15329 - r15330;
        double r15332 = hi;
        double r15333 = r15332 - r15330;
        double r15334 = r15331 / r15333;
        return r15334;
}
↓
double f(double lo, double hi, double x) {
        double r15335 = x;
        double r15336 = lo;
        double r15337 = r15335 - r15336;
        double r15338 = hi;
        double r15339 = r15338 - r15336;
        double r15340 = r15337 / r15339;
        return r15340;
}

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 2020057 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))