Average Error: 62.0 → 62.0
Time: 2.8s
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r30264 = x;
        double r30265 = lo;
        double r30266 = r30264 - r30265;
        double r30267 = hi;
        double r30268 = r30267 - r30265;
        double r30269 = r30266 / r30268;
        return r30269;
}
↓
double f(double lo, double hi, double x) {
        double r30270 = x;
        double r30271 = lo;
        double r30272 = r30270 - r30271;
        double r30273 = hi;
        double r30274 = r30273 - r30271;
        double r30275 = r30272 / r30274;
        return r30275;
}

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 2019194 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))