Average Error: 6.3 → 0.1
Time: 2.5s
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 r842839 = x;
        double r842840 = y;
        double r842841 = r842840 * r842840;
        double r842842 = z;
        double r842843 = r842841 / r842842;
        double r842844 = r842839 + r842843;
        return r842844;
}
↓
double f(double x, double y, double z) {
        double r842845 = x;
        double r842846 = y;
        double r842847 = z;
        double r842848 = r842847 / r842846;
        double r842849 = r842846 / r842848;
        double r842850 = r842845 + r842849;
        return r842850;
}

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

Original6.3
Target0.1
Herbie0.1
\[x + y \cdot \frac{y}{z}\]

Derivation

  1. Initial program 6.3

    \[x + \frac{y \cdot y}{z}\]
  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 2020036 
(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)))