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 r83784 = x;
        double r83785 = lo;
        double r83786 = r83784 - r83785;
        double r83787 = hi;
        double r83788 = r83787 - r83785;
        double r83789 = r83786 / r83788;
        return r83789;
}
↓
double f(double lo, double hi, double x) {
        double r83790 = x;
        double r83791 = lo;
        double r83792 = r83790 - r83791;
        double r83793 = hi;
        double r83794 = r83793 - r83791;
        double r83795 = r83792 / r83794;
        return r83795;
}

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 2019119 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))