Average Error: 6.4 → 0.1
Time: 6.3s
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 r707615 = x;
        double r707616 = y;
        double r707617 = r707616 * r707616;
        double r707618 = z;
        double r707619 = r707617 / r707618;
        double r707620 = r707615 + r707619;
        return r707620;
}
↓
double f(double x, double y, double z) {
        double r707621 = x;
        double r707622 = y;
        double r707623 = z;
        double r707624 = r707623 / r707622;
        double r707625 = r707622 / r707624;
        double r707626 = r707621 + r707625;
        return r707626;
}

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)))