Average Error: 62.0 → 62.0
Time: 957.0ms
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 r6397 = x;
        double r6398 = lo;
        double r6399 = r6397 - r6398;
        double r6400 = hi;
        double r6401 = r6400 - r6398;
        double r6402 = r6399 / r6401;
        return r6402;
}
↓
double f(double lo, double hi, double x) {
        double r6403 = x;
        double r6404 = lo;
        double r6405 = r6403 - r6404;
        double r6406 = hi;
        double r6407 = r6406 - r6404;
        double r6408 = r6405 / r6407;
        return r6408;
}

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 2020035 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))