Average Error: 62.0 → 62.0
Time: 2.4s
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 r778588 = x;
        double r778589 = lo;
        double r778590 = r778588 - r778589;
        double r778591 = hi;
        double r778592 = r778591 - r778589;
        double r778593 = r778590 / r778592;
        return r778593;
}
↓
double f(double lo, double hi, double x) {
        double r778594 = x;
        double r778595 = lo;
        double r778596 = r778594 - r778595;
        double r778597 = hi;
        double r778598 = r778597 - r778595;
        double r778599 = r778596 / r778598;
        return r778599;
}

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 2019156 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))