Average Error: 5.9 → 0.1
Time: 10.7s
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 r1134739 = x;
        double r1134740 = y;
        double r1134741 = r1134740 * r1134740;
        double r1134742 = z;
        double r1134743 = r1134741 / r1134742;
        double r1134744 = r1134739 + r1134743;
        return r1134744;
}
↓
double f(double x, double y, double z) {
        double r1134745 = x;
        double r1134746 = y;
        double r1134747 = z;
        double r1134748 = r1134747 / r1134746;
        double r1134749 = r1134746 / r1134748;
        double r1134750 = r1134745 + r1134749;
        return r1134750;
}

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

Original5.9
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 5.9

    \[x + \frac{y \cdot y}{z}\]
  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 2020047 
(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)))