Average Error: 0.0 → 0.0
Time: 9.3s
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 r10146 = x;
        double r10147 = y;
        double r10148 = r10147 - r10146;
        double r10149 = z;
        double r10150 = r10148 / r10149;
        double r10151 = r10146 + r10150;
        return r10151;
}
↓
double f(double x, double y, double z) {
        double r10152 = y;
        double r10153 = z;
        double r10154 = r10152 / r10153;
        double r10155 = x;
        double r10156 = r10155 / r10153;
        double r10157 = r10154 - r10156;
        double r10158 = r10157 + r10155;
        return r10158;
}

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 2019179 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))