Average Error: 5.9 → 0.1
Time: 10.0s
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 r920221 = x;
        double r920222 = y;
        double r920223 = r920222 * r920222;
        double r920224 = z;
        double r920225 = r920223 / r920224;
        double r920226 = r920221 + r920225;
        return r920226;
}
↓
double f(double x, double y, double z) {
        double r920227 = x;
        double r920228 = y;
        double r920229 = z;
        double r920230 = r920229 / r920228;
        double r920231 = r920228 / r920230;
        double r920232 = r920227 + r920231;
        return r920232;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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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)))