Average Error: 62.0 → 62.0
Time: 2.7s
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 r909415 = x;
        double r909416 = lo;
        double r909417 = r909415 - r909416;
        double r909418 = hi;
        double r909419 = r909418 - r909416;
        double r909420 = r909417 / r909419;
        return r909420;
}
↓
double f(double lo, double hi, double x) {
        double r909421 = x;
        double r909422 = lo;
        double r909423 = r909421 - r909422;
        double r909424 = hi;
        double r909425 = r909424 - r909422;
        double r909426 = r909423 / r909425;
        return r909426;
}

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 2019143 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))