Average Error: 62.0 → 62.0
Time: 839.0ms
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 r20599 = x;
        double r20600 = lo;
        double r20601 = r20599 - r20600;
        double r20602 = hi;
        double r20603 = r20602 - r20600;
        double r20604 = r20601 / r20603;
        return r20604;
}
↓
double f(double lo, double hi, double x) {
        double r20605 = x;
        double r20606 = lo;
        double r20607 = r20605 - r20606;
        double r20608 = hi;
        double r20609 = r20608 - r20606;
        double r20610 = r20607 / r20609;
        return r20610;
}

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 2020001 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))