Average Error: 62.0 → 62.0
Time: 3.6s
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 r82220 = x;
        double r82221 = lo;
        double r82222 = r82220 - r82221;
        double r82223 = hi;
        double r82224 = r82223 - r82221;
        double r82225 = r82222 / r82224;
        return r82225;
}
↓
double f(double lo, double hi, double x) {
        double r82226 = x;
        double r82227 = lo;
        double r82228 = r82226 - r82227;
        double r82229 = hi;
        double r82230 = r82229 - r82227;
        double r82231 = r82228 / r82230;
        return r82231;
}

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 2019107 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))