Average Error: 62.0 → 62.0
Time: 3.8s
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 r139444 = x;
        double r139445 = lo;
        double r139446 = r139444 - r139445;
        double r139447 = hi;
        double r139448 = r139447 - r139445;
        double r139449 = r139446 / r139448;
        return r139449;
}
↓
double f(double lo, double hi, double x) {
        double r139450 = x;
        double r139451 = lo;
        double r139452 = r139450 - r139451;
        double r139453 = hi;
        double r139454 = r139453 - r139451;
        double r139455 = r139452 / r139454;
        return r139455;
}

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 2019134 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))