Average Error: 0.2 → 0.2
Time: 2.8s
Precision: binary64
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\[\]
double code(double x, double y) {
	return ((double) (((double) (1.0 - ((double) (1.0 / ((double) (x * 9.0)))))) - ((double) (y / ((double) (3.0 * ((double) sqrt(x))))))));
}
double code(double x, double y) {
	return ((double) (((double) (1.0 - ((double) (0.1111111111111111 / x)))) - ((double) (y / ((double) (3.0 * ((double) sqrt(x))))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.2
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Derivation

  1. Initial program 0.2

    \[\]
  2. Taylor expanded around 0 0.2

    \[\leadsto \]
  3. Final simplification0.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D"
  :precision binary64

  :herbie-target
  (- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))

  (- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x)))))