Average Error: 0.4 → 0.2
Time: 3.1s
Precision: binary64
\[\frac{x \cdot 100}{x + y} \]
↓
\[x \cdot \frac{-100}{-\left(x + y\right)} \]
\frac{x \cdot 100}{x + y}
↓
x \cdot \frac{-100}{-\left(x + y\right)}

(FPCore (x y) :precision binary64 (/ (* x 100.0) (+ x y)))
↓
(FPCore (x y) :precision binary64 (* x (/ -100.0 (- (+ x y)))))
double code(double x, double y) {
	return (x * 100.0) / (x + y);
}
↓
double code(double x, double y) {
	return x * (-100.0 / -(x + y));
}

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. Applied egg-rr0.3

    \[\leadsto \color{blue}{x \cdot \left(100 \cdot \frac{1}{x + y}\right)} \]

  3. Applied egg-rr0.2

    \[\leadsto x \cdot \color{blue}{\frac{-100}{-\left(x + y\right)}} \]

  4. Final simplification0.2

    \[\leadsto x \cdot \frac{-100}{-\left(x + y\right)} \]

Reproduce

herbie shell --seed 2022130 
(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)))