Average Error: 62.0 → 62.0
Time: 3.7s
Precision: 64
\[lo \lt -1 \cdot 10^{+308} \land hi \gt 10^{+308}\]
\[\frac{x - lo}{hi - lo}\]
\[0\]
\frac{x - lo}{hi - lo}
0
double f(double lo, double hi, double x) {
        double r82132 = x;
        double r82133 = lo;
        double r82134 = r82132 - r82133;
        double r82135 = hi;
        double r82136 = r82135 - r82133;
        double r82137 = r82134 / r82136;
        return r82137;
}

double f(double __attribute__((unused)) lo, double __attribute__((unused)) hi, double __attribute__((unused)) x) {
        double r82138 = 0.0;
        return r82138;
}

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. Taylor expanded around inf 62.0

    \[\leadsto \color{blue}{0}\]
  3. Final simplification62.0

    \[\leadsto 0\]

Reproduce

herbie shell --seed 2019104 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))