Average Error: 6.3 → 0.1
Time: 18.0s
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 r573308 = x;
        double r573309 = y;
        double r573310 = r573309 * r573309;
        double r573311 = z;
        double r573312 = r573310 / r573311;
        double r573313 = r573308 + r573312;
        return r573313;
}
↓
double f(double x, double y, double z) {
        double r573314 = x;
        double r573315 = y;
        double r573316 = z;
        double r573317 = r573316 / r573315;
        double r573318 = r573315 / r573317;
        double r573319 = r573314 + r573318;
        return r573319;
}

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

Original6.3
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.3

    \[x + \frac{y \cdot y}{z}\]
  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 2019325 
(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)))