Average Error: 62.0 → 62.0
Time: 3.0s
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 r493145 = x;
        double r493146 = lo;
        double r493147 = r493145 - r493146;
        double r493148 = hi;
        double r493149 = r493148 - r493146;
        double r493150 = r493147 / r493149;
        return r493150;
}
↓
double f(double lo, double hi, double x) {
        double r493151 = x;
        double r493152 = lo;
        double r493153 = r493151 - r493152;
        double r493154 = hi;
        double r493155 = r493154 - r493152;
        double r493156 = r493153 / r493155;
        return r493156;
}

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 2019155 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))