Average Error: 62.0 → 62.0
Time: 911.0ms
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 r15269 = x;
        double r15270 = lo;
        double r15271 = r15269 - r15270;
        double r15272 = hi;
        double r15273 = r15272 - r15270;
        double r15274 = r15271 / r15273;
        return r15274;
}
↓
double f(double lo, double hi, double x) {
        double r15275 = x;
        double r15276 = lo;
        double r15277 = r15275 - r15276;
        double r15278 = hi;
        double r15279 = r15278 - r15276;
        double r15280 = r15277 / r15279;
        return r15280;
}

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 2020083 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))