Average Error: 62.0 → 62.0
Time: 2.6s
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 r17085 = x;
        double r17086 = lo;
        double r17087 = r17085 - r17086;
        double r17088 = hi;
        double r17089 = r17088 - r17086;
        double r17090 = r17087 / r17089;
        return r17090;
}
↓
double f(double lo, double hi, double x) {
        double r17091 = x;
        double r17092 = lo;
        double r17093 = r17091 - r17092;
        double r17094 = hi;
        double r17095 = r17094 - r17092;
        double r17096 = r17093 / r17095;
        return r17096;
}

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 2020043 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))