Average Error: 62.0 → 62.0
Time: 3.3s
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 r16191 = x;
        double r16192 = lo;
        double r16193 = r16191 - r16192;
        double r16194 = hi;
        double r16195 = r16194 - r16192;
        double r16196 = r16193 / r16195;
        return r16196;
}
↓
double f(double lo, double hi, double x) {
        double r16197 = x;
        double r16198 = lo;
        double r16199 = r16197 - r16198;
        double r16200 = hi;
        double r16201 = r16200 - r16198;
        double r16202 = r16199 / r16201;
        return r16202;
}

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 2019212 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))