Average Error: 6.4 → 0.1
Time: 2.2s
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 r845197 = x;
        double r845198 = y;
        double r845199 = r845198 * r845198;
        double r845200 = z;
        double r845201 = r845199 / r845200;
        double r845202 = r845197 + r845201;
        return r845202;
}
↓
double f(double x, double y, double z) {
        double r845203 = x;
        double r845204 = y;
        double r845205 = z;
        double r845206 = r845205 / r845204;
        double r845207 = r845204 / r845206;
        double r845208 = r845203 + r845207;
        return r845208;
}

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 2020024 
(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)))