Average Error: 62.0 → 62.0
Time: 5.3s
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 r16330 = x;
        double r16331 = lo;
        double r16332 = r16330 - r16331;
        double r16333 = hi;
        double r16334 = r16333 - r16331;
        double r16335 = r16332 / r16334;
        return r16335;
}
↓
double f(double lo, double hi, double x) {
        double r16336 = x;
        double r16337 = lo;
        double r16338 = r16336 - r16337;
        double r16339 = hi;
        double r16340 = r16339 - r16337;
        double r16341 = r16338 / r16340;
        return r16341;
}

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 2019199 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))