Average Error: 7.6 → 0.1
Time: 1.7s
Precision: binary64
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double code(double x, double y) {
	return ((double) (((double) (x * y)) / ((double) (y + 1.0))));
}
double code(double x, double y) {
	return ((double) (x * ((double) (1.0 / ((double) (((double) (y + 1.0)) / 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

Original7.6
Target0.0
Herbie0.1
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Derivation

  1. Initial program 7.6

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  2. Simplified0.0

    \[\leadsto \]
  3. Using strategy rm
  4. Applied clear-num0.1

    \[\leadsto \]
  5. Final simplification0.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020181 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (if (< y -3693.8482788297247) (- (/ x (* y y)) (- (/ x y) x)) (if (< y 6799310503.41891) (/ (* x y) (+ y 1.0)) (- (/ x (* y y)) (- (/ x y) x))))

  (/ (* x y) (+ y 1.0)))