Average Error: 62.0 → 62.0
Time: 2.8s
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 r58057 = x;
        double r58058 = lo;
        double r58059 = r58057 - r58058;
        double r58060 = hi;
        double r58061 = r58060 - r58058;
        double r58062 = r58059 / r58061;
        return r58062;
}
↓
double f(double lo, double hi, double x) {
        double r58063 = x;
        double r58064 = lo;
        double r58065 = r58063 - r58064;
        double r58066 = hi;
        double r58067 = r58066 - r58064;
        double r58068 = r58065 / r58067;
        return r58068;
}

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 2019128 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))