Average Error: 62.0 → 62.0
Time: 5.3s
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 r155722 = x;
        double r155723 = lo;
        double r155724 = r155722 - r155723;
        double r155725 = hi;
        double r155726 = r155725 - r155723;
        double r155727 = r155724 / r155726;
        return r155727;
}
↓
double f(double lo, double hi, double x) {
        double r155728 = x;
        double r155729 = lo;
        double r155730 = r155728 - r155729;
        double r155731 = hi;
        double r155732 = r155731 - r155729;
        double r155733 = r155730 / r155732;
        return r155733;
}

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 2019128 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))