Average Error: 6.0 → 0.1
Time: 7.3s
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 r566266 = x;
        double r566267 = y;
        double r566268 = r566267 * r566267;
        double r566269 = z;
        double r566270 = r566268 / r566269;
        double r566271 = r566266 + r566270;
        return r566271;
}
↓
double f(double x, double y, double z) {
        double r566272 = x;
        double r566273 = y;
        double r566274 = z;
        double r566275 = r566274 / r566273;
        double r566276 = r566273 / r566275;
        double r566277 = r566272 + r566276;
        return r566277;
}

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

Original6.0
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.0

    \[x + \frac{y \cdot y}{z}\]
  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 2019298 
(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)))