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 r13257 = x;
        double r13258 = lo;
        double r13259 = r13257 - r13258;
        double r13260 = hi;
        double r13261 = r13260 - r13258;
        double r13262 = r13259 / r13261;
        return r13262;
}
↓
double f(double lo, double hi, double x) {
        double r13263 = x;
        double r13264 = lo;
        double r13265 = r13263 - r13264;
        double r13266 = hi;
        double r13267 = r13266 - r13264;
        double r13268 = r13265 / r13267;
        return r13268;
}

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 2020044 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))