Average Error: 0.0 → 0.0
Time: 19.2s
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 r1144968 = x;
        double r1144969 = y;
        double r1144970 = r1144969 - r1144968;
        double r1144971 = z;
        double r1144972 = r1144970 / r1144971;
        double r1144973 = r1144968 + r1144972;
        return r1144973;
}
↓
double f(double x, double y, double z) {
        double r1144974 = y;
        double r1144975 = z;
        double r1144976 = r1144974 / r1144975;
        double r1144977 = x;
        double r1144978 = r1144977 / r1144975;
        double r1144979 = r1144976 - r1144978;
        double r1144980 = r1144979 + r1144977;
        return r1144980;
}

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 2019169 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))