Average Error: 0.0 → 0.0
Time: 9.8s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[\left(\frac{y}{z} - \frac{x}{z}\right) + x\]
x + \frac{y - x}{z}
↓
\left(\frac{y}{z} - \frac{x}{z}\right) + x
double f(double x, double y, double z) {
        double r656193 = x;
        double r656194 = y;
        double r656195 = r656194 - r656193;
        double r656196 = z;
        double r656197 = r656195 / r656196;
        double r656198 = r656193 + r656197;
        return r656198;
}
↓
double f(double x, double y, double z) {
        double r656199 = y;
        double r656200 = z;
        double r656201 = r656199 / r656200;
        double r656202 = x;
        double r656203 = r656202 / r656200;
        double r656204 = r656201 - r656203;
        double r656205 = r656204 + r656202;
        return r656205;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{y - x}{z}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto x + \color{blue}{\left(\frac{y}{z} - \frac{x}{z}\right)}\]

  4. Final simplification0.0

    \[\leadsto \left(\frac{y}{z} - \frac{x}{z}\right) + x\]

Reproduce

herbie shell --seed 2019171 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))