Average Error: 62.0 → 62.0
Time: 5.1s
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 r15854 = x;
        double r15855 = lo;
        double r15856 = r15854 - r15855;
        double r15857 = hi;
        double r15858 = r15857 - r15855;
        double r15859 = r15856 / r15858;
        return r15859;
}
↓
double f(double lo, double hi, double x) {
        double r15860 = x;
        double r15861 = lo;
        double r15862 = r15860 - r15861;
        double r15863 = hi;
        double r15864 = r15863 - r15861;
        double r15865 = r15862 / r15864;
        return r15865;
}

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