Average Error: 6.4 → 0.1
Time: 6.5s
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 r804422 = x;
        double r804423 = y;
        double r804424 = r804423 * r804423;
        double r804425 = z;
        double r804426 = r804424 / r804425;
        double r804427 = r804422 + r804426;
        return r804427;
}
↓
double f(double x, double y, double z) {
        double r804428 = x;
        double r804429 = y;
        double r804430 = z;
        double r804431 = r804430 / r804429;
        double r804432 = r804429 / r804431;
        double r804433 = r804428 + r804432;
        return r804433;
}

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 2020021 
(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)))