Average Error: 0.4 → 0.3
Time: 1.9s
Precision: binary64
\[\frac{x \cdot 100}{x + y}\]
↓
\[x \cdot \frac{1}{\frac{x + y}{100}}\]
\frac{x \cdot 100}{x + y}
↓
x \cdot \frac{1}{\frac{x + y}{100}}
double code(double x, double y) {
	return (((double) (x * 100.0)) / ((double) (x + y)));
}
↓
double code(double x, double y) {
	return ((double) (x * (1.0 / (((double) (x + y)) / 100.0))));
}

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

Derivation

  1. Initial program 0.4

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

  2. Simplified0.2

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

  4. Applied clear-num0.3

    \[\leadsto x \cdot \color{blue}{\frac{1}{\frac{x + y}{100}}}\]

  5. Final simplification0.3

    \[\leadsto x \cdot \frac{1}{\frac{x + y}{100}}\]

Reproduce

herbie shell --seed 2020196 
(FPCore (x y)
  :name "Development.Shake.Progress:message from shake-0.15.5"
  :precision binary64

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

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