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 r611215 = x;
        double r611216 = lo;
        double r611217 = r611215 - r611216;
        double r611218 = hi;
        double r611219 = r611218 - r611216;
        double r611220 = r611217 / r611219;
        return r611220;
}
↓
double f(double lo, double hi, double x) {
        double r611221 = x;
        double r611222 = lo;
        double r611223 = r611221 - r611222;
        double r611224 = hi;
        double r611225 = r611224 - r611222;
        double r611226 = r611223 / r611225;
        return r611226;
}

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 2019152 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))