Average Error: 62.0 → 62.0
Time: 3.8s
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 r127830 = x;
        double r127831 = lo;
        double r127832 = r127830 - r127831;
        double r127833 = hi;
        double r127834 = r127833 - r127831;
        double r127835 = r127832 / r127834;
        return r127835;
}
↓
double f(double lo, double hi, double x) {
        double r127836 = x;
        double r127837 = lo;
        double r127838 = r127836 - r127837;
        double r127839 = hi;
        double r127840 = r127839 - r127837;
        double r127841 = r127838 / r127840;
        return r127841;
}

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 2019130 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))