Average Error: 62.0 → 62.0
Time: 3.6s
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 r82212 = x;
        double r82213 = lo;
        double r82214 = r82212 - r82213;
        double r82215 = hi;
        double r82216 = r82215 - r82213;
        double r82217 = r82214 / r82216;
        return r82217;
}
↓
double f(double lo, double hi, double x) {
        double r82218 = x;
        double r82219 = lo;
        double r82220 = r82218 - r82219;
        double r82221 = hi;
        double r82222 = r82221 - r82219;
        double r82223 = r82220 / r82222;
        return r82223;
}

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 2019121 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))