Average Error: 6.3 → 0.1
Time: 18.0s
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 r43712108 = x;
        double r43712109 = y;
        double r43712110 = r43712109 * r43712109;
        double r43712111 = z;
        double r43712112 = r43712110 / r43712111;
        double r43712113 = r43712108 + r43712112;
        return r43712113;
}
↓
double f(double x, double y, double z) {
        double r43712114 = x;
        double r43712115 = y;
        double r43712116 = z;
        double r43712117 = r43712116 / r43712115;
        double r43712118 = r43712115 / r43712117;
        double r43712119 = r43712114 + r43712118;
        return r43712119;
}

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

Original6.3
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.3

    \[x + \frac{y \cdot y}{z}\]
  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 2019192 
(FPCore (x y z)
  :name "Crypto.Random.Test:calculate from crypto-random-0.0.9"

  :herbie-target
  (+ x (* y (/ y z)))

  (+ x (/ (* y y) z)))