Average Error: 6.2 → 0.1
Time: 4.5s
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 r4630 = x;
        double r4631 = y;
        double r4632 = r4631 * r4631;
        double r4633 = z;
        double r4634 = r4632 / r4633;
        double r4635 = r4630 + r4634;
        return r4635;
}
↓
double f(double x, double y, double z) {
        double r4636 = x;
        double r4637 = y;
        double r4638 = z;
        double r4639 = r4638 / r4637;
        double r4640 = r4637 / r4639;
        double r4641 = r4636 + r4640;
        return r4641;
}

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

Original6.2
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 2020025 +o rules:numerics
(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)))