Average Error: 0.0 → 0.0
Time: 6.1s
Precision: 64
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
↓
\[\frac{x}{2.0} + \left(z + y \cdot x\right)\]
\left(\frac{x}{2.0} + y \cdot x\right) + z
↓
\frac{x}{2.0} + \left(z + y \cdot x\right)
double f(double x, double y, double z) {
        double r4752329 = x;
        double r4752330 = 2.0;
        double r4752331 = r4752329 / r4752330;
        double r4752332 = y;
        double r4752333 = r4752332 * r4752329;
        double r4752334 = r4752331 + r4752333;
        double r4752335 = z;
        double r4752336 = r4752334 + r4752335;
        return r4752336;
}
↓
double f(double x, double y, double z) {
        double r4752337 = x;
        double r4752338 = 2.0;
        double r4752339 = r4752337 / r4752338;
        double r4752340 = z;
        double r4752341 = y;
        double r4752342 = r4752341 * r4752337;
        double r4752343 = r4752340 + r4752342;
        double r4752344 = r4752339 + r4752343;
        return r4752344;
}

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

    \[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
  2. Using strategy rm

  3. Applied associate-+l+0.0

    \[\leadsto \color{blue}{\frac{x}{2.0} + \left(y \cdot x + z\right)}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{2.0} + \left(z + y \cdot x\right)\]

Reproduce

herbie shell --seed 2019156 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))