Average Error: 62.0 → 62.0
Time: 3.6s
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 r82230 = x;
        double r82231 = lo;
        double r82232 = r82230 - r82231;
        double r82233 = hi;
        double r82234 = r82233 - r82231;
        double r82235 = r82232 / r82234;
        return r82235;
}
↓
double f(double lo, double hi, double x) {
        double r82236 = x;
        double r82237 = lo;
        double r82238 = r82236 - r82237;
        double r82239 = hi;
        double r82240 = r82239 - r82237;
        double r82241 = r82238 / r82240;
        return r82241;
}

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 2019119 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))