Average Error: 6.2 → 0.1
Time: 6.0s
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 r616298 = x;
        double r616299 = y;
        double r616300 = r616299 * r616299;
        double r616301 = z;
        double r616302 = r616300 / r616301;
        double r616303 = r616298 + r616302;
        return r616303;
}
↓
double f(double x, double y, double z) {
        double r616304 = x;
        double r616305 = y;
        double r616306 = z;
        double r616307 = r616306 / r616305;
        double r616308 = r616305 / r616307;
        double r616309 = r616304 + r616308;
        return r616309;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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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 2019294 
(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)))