Average Error: 6.5 → 0.1
Time: 10.4s
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 r40195121 = x;
        double r40195122 = y;
        double r40195123 = r40195122 * r40195122;
        double r40195124 = z;
        double r40195125 = r40195123 / r40195124;
        double r40195126 = r40195121 + r40195125;
        return r40195126;
}
↓
double f(double x, double y, double z) {
        double r40195127 = x;
        double r40195128 = y;
        double r40195129 = z;
        double r40195130 = r40195129 / r40195128;
        double r40195131 = r40195128 / r40195130;
        double r40195132 = r40195127 + r40195131;
        return r40195132;
}

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

Original6.5
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.5

    \[x + \frac{y \cdot y}{z}\]
  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 2019172 
(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)))