Average Error: 6.2 → 0.1
Time: 5.0s
Precision: 64
\[x + \frac{y \cdot y}{z}\]
↓
\[x + \frac{y}{\frac{z}{y}}\]
x + \frac{y \cdot y}{z}
↓
x + \frac{y}{\frac{z}{y}}
double f(double x, double y, double z) {
        double r2369 = x;
        double r2370 = y;
        double r2371 = r2370 * r2370;
        double r2372 = z;
        double r2373 = r2371 / r2372;
        double r2374 = r2369 + r2373;
        return r2374;
}
↓
double f(double x, double y, double z) {
        double r2375 = x;
        double r2376 = y;
        double r2377 = z;
        double r2378 = r2377 / r2376;
        double r2379 = r2376 / r2378;
        double r2380 = r2375 + r2379;
        return r2380;
}

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

Target

Original6.2
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.2

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

  3. Applied associate-/l*0.1

    \[\leadsto x + \color{blue}{\frac{y}{\frac{z}{y}}}\]

  4. Final simplification0.1

    \[\leadsto x + \frac{y}{\frac{z}{y}}\]

Reproduce

herbie shell --seed 2020025 
(FPCore (x y z)
  :name "Crypto.Random.Test:calculate from crypto-random-0.0.9"
  :precision binary64

  :herbie-target
  (+ x (* y (/ y z)))

  (+ x (/ (* y y) z)))