Average Error: 62.0 → 62.0
Time: 3.8s
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 r441803 = x;
        double r441804 = lo;
        double r441805 = r441803 - r441804;
        double r441806 = hi;
        double r441807 = r441806 - r441804;
        double r441808 = r441805 / r441807;
        return r441808;
}
↓
double f(double lo, double hi, double x) {
        double r441809 = x;
        double r441810 = lo;
        double r441811 = r441809 - r441810;
        double r441812 = hi;
        double r441813 = r441812 - r441810;
        double r441814 = r441811 / r441813;
        return r441814;
}

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 2019153 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))