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 r22198 = x;
        double r22199 = lo;
        double r22200 = r22198 - r22199;
        double r22201 = hi;
        double r22202 = r22201 - r22199;
        double r22203 = r22200 / r22202;
        return r22203;
}
↓
double f(double lo, double hi, double x) {
        double r22204 = x;
        double r22205 = lo;
        double r22206 = r22204 - r22205;
        double r22207 = hi;
        double r22208 = r22207 - r22205;
        double r22209 = r22206 / r22208;
        return r22209;
}

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 2020047 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))