Average Error: 62.0 → 62.0
Time: 3.3s
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 r1066654 = x;
        double r1066655 = lo;
        double r1066656 = r1066654 - r1066655;
        double r1066657 = hi;
        double r1066658 = r1066657 - r1066655;
        double r1066659 = r1066656 / r1066658;
        return r1066659;
}
↓
double f(double lo, double hi, double x) {
        double r1066660 = x;
        double r1066661 = lo;
        double r1066662 = r1066660 - r1066661;
        double r1066663 = hi;
        double r1066664 = r1066663 - r1066661;
        double r1066665 = r1066662 / r1066664;
        return r1066665;
}

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 2019144 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))