Average Error: 62.0 → 62.0
Time: 4.1s
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 r82234 = x;
        double r82235 = lo;
        double r82236 = r82234 - r82235;
        double r82237 = hi;
        double r82238 = r82237 - r82235;
        double r82239 = r82236 / r82238;
        return r82239;
}
↓
double f(double lo, double hi, double x) {
        double r82240 = x;
        double r82241 = lo;
        double r82242 = r82240 - r82241;
        double r82243 = hi;
        double r82244 = r82243 - r82241;
        double r82245 = r82242 / r82244;
        return r82245;
}

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 2019124 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))