Average Error: 0.4 → 0.2
Time: 15.4s
Precision: 64
\[\frac{x \cdot 100}{x + y}\]
↓
\[\frac{x}{x + y} \cdot 100\]
\frac{x \cdot 100}{x + y}
↓
\frac{x}{x + y} \cdot 100
double f(double x, double y) {
        double r122501409 = x;
        double r122501410 = 100.0;
        double r122501411 = r122501409 * r122501410;
        double r122501412 = y;
        double r122501413 = r122501409 + r122501412;
        double r122501414 = r122501411 / r122501413;
        return r122501414;
}
↓
double f(double x, double y) {
        double r122501415 = x;
        double r122501416 = y;
        double r122501417 = r122501415 + r122501416;
        double r122501418 = r122501415 / r122501417;
        double r122501419 = 100.0;
        double r122501420 = r122501418 * r122501419;
        return r122501420;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.4
Target0.2
Herbie0.2
\[\frac{x}{1} \cdot \frac{100}{x + y}\]

Derivation

  1. Initial program 0.4

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

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

Reproduce

herbie shell --seed 2019173 
(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)))