Average Error: 62.0 → 62.0
Time: 2.8s
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 r605649 = x;
        double r605650 = lo;
        double r605651 = r605649 - r605650;
        double r605652 = hi;
        double r605653 = r605652 - r605650;
        double r605654 = r605651 / r605653;
        return r605654;
}
↓
double f(double lo, double hi, double x) {
        double r605655 = x;
        double r605656 = lo;
        double r605657 = r605655 - r605656;
        double r605658 = hi;
        double r605659 = r605658 - r605656;
        double r605660 = r605657 / r605659;
        return r605660;
}

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 2019153 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))