Average Error: 62.0 → 62.0
Time: 2.7s
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 r364048 = x;
        double r364049 = lo;
        double r364050 = r364048 - r364049;
        double r364051 = hi;
        double r364052 = r364051 - r364049;
        double r364053 = r364050 / r364052;
        return r364053;
}
↓
double f(double lo, double hi, double x) {
        double r364054 = x;
        double r364055 = lo;
        double r364056 = r364054 - r364055;
        double r364057 = hi;
        double r364058 = r364057 - r364055;
        double r364059 = r364056 / r364058;
        return r364059;
}

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 2019154 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))