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 r1310190 = x;
        double r1310191 = lo;
        double r1310192 = r1310190 - r1310191;
        double r1310193 = hi;
        double r1310194 = r1310193 - r1310191;
        double r1310195 = r1310192 / r1310194;
        return r1310195;
}
↓
double f(double lo, double hi, double x) {
        double r1310196 = x;
        double r1310197 = lo;
        double r1310198 = r1310196 - r1310197;
        double r1310199 = hi;
        double r1310200 = r1310199 - r1310197;
        double r1310201 = r1310198 / r1310200;
        return r1310201;
}

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 2019164 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))