Average Error: 6.2 → 0.1
Time: 7.2s
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 r712706 = x;
        double r712707 = y;
        double r712708 = r712707 * r712707;
        double r712709 = z;
        double r712710 = r712708 / r712709;
        double r712711 = r712706 + r712710;
        return r712711;
}
↓
double f(double x, double y, double z) {
        double r712712 = x;
        double r712713 = y;
        double r712714 = z;
        double r712715 = r712714 / r712713;
        double r712716 = r712713 / r712715;
        double r712717 = r712712 + r712716;
        return r712717;
}

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 2019291 
(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)))