Average Error: 62.0 → 62.0
Time: 3.3s
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 r25196 = x;
        double r25197 = lo;
        double r25198 = r25196 - r25197;
        double r25199 = hi;
        double r25200 = r25199 - r25197;
        double r25201 = r25198 / r25200;
        return r25201;
}
↓
double f(double lo, double hi, double x) {
        double r25202 = x;
        double r25203 = lo;
        double r25204 = r25202 - r25203;
        double r25205 = hi;
        double r25206 = r25205 - r25203;
        double r25207 = r25204 / r25206;
        return r25207;
}

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 2019179 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))