Average Error: 62.0 → 62.0
Time: 855.0ms
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 r3600 = x;
        double r3601 = lo;
        double r3602 = r3600 - r3601;
        double r3603 = hi;
        double r3604 = r3603 - r3601;
        double r3605 = r3602 / r3604;
        return r3605;
}
↓
double f(double lo, double hi, double x) {
        double r3606 = x;
        double r3607 = lo;
        double r3608 = r3606 - r3607;
        double r3609 = hi;
        double r3610 = r3609 - r3607;
        double r3611 = r3608 / r3610;
        return r3611;
}

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 2020081 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))