Average Error: 62.0 → 62.0
Time: 4.0s
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 r126794 = x;
        double r126795 = lo;
        double r126796 = r126794 - r126795;
        double r126797 = hi;
        double r126798 = r126797 - r126795;
        double r126799 = r126796 / r126798;
        return r126799;
}
↓
double f(double lo, double hi, double x) {
        double r126800 = x;
        double r126801 = lo;
        double r126802 = r126800 - r126801;
        double r126803 = hi;
        double r126804 = r126803 - r126801;
        double r126805 = r126802 / r126804;
        return r126805;
}

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 2019142 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))