Average Error: 62.0 → 62.0
Time: 4.0s
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 r128019 = x;
        double r128020 = lo;
        double r128021 = r128019 - r128020;
        double r128022 = hi;
        double r128023 = r128022 - r128020;
        double r128024 = r128021 / r128023;
        return r128024;
}
↓
double f(double lo, double hi, double x) {
        double r128025 = x;
        double r128026 = lo;
        double r128027 = r128025 - r128026;
        double r128028 = hi;
        double r128029 = r128028 - r128026;
        double r128030 = r128027 / r128029;
        return r128030;
}

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 2019137 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))