Average Error: 6.4 → 0.1
Time: 16.6s
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 r733476 = x;
        double r733477 = y;
        double r733478 = r733477 * r733477;
        double r733479 = z;
        double r733480 = r733478 / r733479;
        double r733481 = r733476 + r733480;
        return r733481;
}
↓
double f(double x, double y, double z) {
        double r733482 = x;
        double r733483 = y;
        double r733484 = z;
        double r733485 = r733484 / r733483;
        double r733486 = r733483 / r733485;
        double r733487 = r733482 + r733486;
        return r733487;
}

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

Original6.4
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.4

    \[x + \frac{y \cdot y}{z}\]
  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 2019303 
(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)))