Average Error: 62.0 → 62.0
Time: 727.0ms
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 r4350 = x;
        double r4351 = lo;
        double r4352 = r4350 - r4351;
        double r4353 = hi;
        double r4354 = r4353 - r4351;
        double r4355 = r4352 / r4354;
        return r4355;
}
↓
double f(double lo, double hi, double x) {
        double r4356 = x;
        double r4357 = lo;
        double r4358 = r4356 - r4357;
        double r4359 = hi;
        double r4360 = r4359 - r4357;
        double r4361 = r4358 / r4360;
        return r4361;
}

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 2020024 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))