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 r82210 = x;
        double r82211 = lo;
        double r82212 = r82210 - r82211;
        double r82213 = hi;
        double r82214 = r82213 - r82211;
        double r82215 = r82212 / r82214;
        return r82215;
}
↓
double f(double lo, double hi, double x) {
        double r82216 = x;
        double r82217 = lo;
        double r82218 = r82216 - r82217;
        double r82219 = hi;
        double r82220 = r82219 - r82217;
        double r82221 = r82218 / r82220;
        return r82221;
}

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 2019120 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))