Average Error: 0.3 → 0.2
Time: 14.1s
Precision: 64
\[\frac{x \cdot 100}{x + y}\]
↓
\[\frac{x}{y + x} \cdot 100\]
\frac{x \cdot 100}{x + y}
↓
\frac{x}{y + x} \cdot 100
double f(double x, double y) {
        double r41132947 = x;
        double r41132948 = 100.0;
        double r41132949 = r41132947 * r41132948;
        double r41132950 = y;
        double r41132951 = r41132947 + r41132950;
        double r41132952 = r41132949 / r41132951;
        return r41132952;
}
↓
double f(double x, double y) {
        double r41132953 = x;
        double r41132954 = y;
        double r41132955 = r41132954 + r41132953;
        double r41132956 = r41132953 / r41132955;
        double r41132957 = 100.0;
        double r41132958 = r41132956 * r41132957;
        return r41132958;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.2
Herbie0.2
\[\frac{x}{1} \cdot \frac{100}{x + y}\]

Derivation

  1. Initial program 0.3

    \[\frac{x \cdot 100}{x + y}\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{x}{\frac{x + y}{100}}}\]
  4. Using strategy rm

  5. Applied associate-/r/0.2

    \[\leadsto \color{blue}{\frac{x}{x + y} \cdot 100}\]

  6. Final simplification0.2

    \[\leadsto \frac{x}{y + x} \cdot 100\]

Reproduce

herbie shell --seed 2019169 
(FPCore (x y)
  :name "Development.Shake.Progress:message from shake-0.15.5"

  :herbie-target
  (* (/ x 1.0) (/ 100.0 (+ x y)))

  (/ (* x 100.0) (+ x y)))