Average Error: 62.0 → 62.0
Time: 3.0s
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 r882375 = x;
        double r882376 = lo;
        double r882377 = r882375 - r882376;
        double r882378 = hi;
        double r882379 = r882378 - r882376;
        double r882380 = r882377 / r882379;
        return r882380;
}
↓
double f(double lo, double hi, double x) {
        double r882381 = x;
        double r882382 = lo;
        double r882383 = r882381 - r882382;
        double r882384 = hi;
        double r882385 = r882384 - r882382;
        double r882386 = r882383 / r882385;
        return r882386;
}

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 2019151 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))