Average Error: 0.3 → 0.2
Time: 7.1s
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 r39782951 = x;
        double r39782952 = 100.0;
        double r39782953 = r39782951 * r39782952;
        double r39782954 = y;
        double r39782955 = r39782951 + r39782954;
        double r39782956 = r39782953 / r39782955;
        return r39782956;
}
↓
double f(double x, double y) {
        double r39782957 = x;
        double r39782958 = y;
        double r39782959 = r39782958 + r39782957;
        double r39782960 = r39782957 / r39782959;
        double r39782961 = 100.0;
        double r39782962 = r39782960 * r39782961;
        return r39782962;
}

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 2019179 
(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)))