Average Error: 62.0 → 62.0
Time: 3.8s
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r19449 = x;
        double r19450 = lo;
        double r19451 = r19449 - r19450;
        double r19452 = hi;
        double r19453 = r19452 - r19450;
        double r19454 = r19451 / r19453;
        return r19454;
}
↓
double f(double lo, double hi, double x) {
        double r19455 = x;
        double r19456 = lo;
        double r19457 = r19455 - r19456;
        double r19458 = hi;
        double r19459 = r19458 - r19456;
        double r19460 = r19457 / r19459;
        return r19460;
}

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 2019235 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))