Average Error: 62.0 → 62.0
Time: 3.0s
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 r1437273 = x;
        double r1437274 = lo;
        double r1437275 = r1437273 - r1437274;
        double r1437276 = hi;
        double r1437277 = r1437276 - r1437274;
        double r1437278 = r1437275 / r1437277;
        return r1437278;
}
↓
double f(double lo, double hi, double x) {
        double r1437279 = x;
        double r1437280 = lo;
        double r1437281 = r1437279 - r1437280;
        double r1437282 = hi;
        double r1437283 = r1437282 - r1437280;
        double r1437284 = r1437281 / r1437283;
        return r1437284;
}

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 2019168 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))