Average Error: 6.4 → 0.1
Time: 17.8s
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 r709503 = x;
        double r709504 = y;
        double r709505 = r709504 * r709504;
        double r709506 = z;
        double r709507 = r709505 / r709506;
        double r709508 = r709503 + r709507;
        return r709508;
}
↓
double f(double x, double y, double z) {
        double r709509 = x;
        double r709510 = y;
        double r709511 = z;
        double r709512 = r709511 / r709510;
        double r709513 = r709510 / r709512;
        double r709514 = r709509 + r709513;
        return r709514;
}

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

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 2019303 
(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)))