Average Error: 6.0 → 0.1
Time: 2.0s
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 r1056342 = x;
        double r1056343 = y;
        double r1056344 = r1056343 * r1056343;
        double r1056345 = z;
        double r1056346 = r1056344 / r1056345;
        double r1056347 = r1056342 + r1056346;
        return r1056347;
}
↓
double f(double x, double y, double z) {
        double r1056348 = x;
        double r1056349 = y;
        double r1056350 = z;
        double r1056351 = r1056350 / r1056349;
        double r1056352 = r1056349 / r1056351;
        double r1056353 = r1056348 + r1056352;
        return r1056353;
}

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

Original6.0
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.0

    \[x + \frac{y \cdot y}{z}\]
  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 2020056 
(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)))