Average Error: 62.0 → 62.0
Time: 885.0ms
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 r6261 = x;
        double r6262 = lo;
        double r6263 = r6261 - r6262;
        double r6264 = hi;
        double r6265 = r6264 - r6262;
        double r6266 = r6263 / r6265;
        return r6266;
}
↓
double f(double lo, double hi, double x) {
        double r6267 = x;
        double r6268 = lo;
        double r6269 = r6267 - r6268;
        double r6270 = hi;
        double r6271 = r6270 - r6268;
        double r6272 = r6269 / r6271;
        return r6272;
}

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 2020089 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))