Average Error: 0.3 → 0.2
Time: 10.1s
Precision: 64
\[\frac{x \cdot 100.0}{x + y}\]
↓
\[\frac{x}{y + x} \cdot 100.0\]
\frac{x \cdot 100.0}{x + y}
↓
\frac{x}{y + x} \cdot 100.0
double f(double x, double y) {
        double r37658474 = x;
        double r37658475 = 100.0;
        double r37658476 = r37658474 * r37658475;
        double r37658477 = y;
        double r37658478 = r37658474 + r37658477;
        double r37658479 = r37658476 / r37658478;
        return r37658479;
}
↓
double f(double x, double y) {
        double r37658480 = x;
        double r37658481 = y;
        double r37658482 = r37658481 + r37658480;
        double r37658483 = r37658480 / r37658482;
        double r37658484 = 100.0;
        double r37658485 = r37658483 * r37658484;
        return r37658485;
}

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
\[\frac{x}{1} \cdot \frac{100.0}{x + y}\]

Derivation

  1. Initial program 0.3

    \[\frac{x \cdot 100.0}{x + y}\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{x}{\frac{x + y}{100.0}}}\]
  4. Using strategy rm

  5. Applied associate-/r/0.2

    \[\leadsto \color{blue}{\frac{x}{x + y} \cdot 100.0}\]

  6. Final simplification0.2

    \[\leadsto \frac{x}{y + x} \cdot 100.0\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y)
  :name "Development.Shake.Progress:message from shake-0.15.5"

  :herbie-target
  (* (/ x 1) (/ 100.0 (+ x y)))

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