Average Error: 0.9 → 0.9
Time: 9.6s
Precision: binary64
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double code(double l, double Om, double kx, double ky) {
	return ((double) sqrt(((double) (((double) (1.0 / 2.0)) * ((double) (1.0 + ((double) (1.0 / ((double) sqrt(((double) (1.0 + ((double) (((double) pow(((double) (((double) (2.0 * l)) / Om)), 2.0)) * ((double) (((double) pow(((double) sin(kx)), 2.0)) + ((double) pow(((double) sin(ky)), 2.0))))))))))))))))));
}
double code(double l, double Om, double kx, double ky) {
	return ((double) sqrt(((double) (((double) (1.0 / 2.0)) * ((double) (1.0 + ((double) (1.0 / ((double) sqrt(((double) (1.0 + ((double) (((double) pow(((double) (((double) (2.0 * l)) / Om)), 2.0)) * ((double) (((double) pow(((double) sin(kx)), 2.0)) + ((double) pow(((double) sin(ky)), 2.0))))))))))))))))));
}

Error

Bits error versus l

Bits error versus Om

Bits error versus kx

Bits error versus ky

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.9

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  2. Final simplification0.9

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (l Om kx ky)
  :name "Toniolo and Linder, Equation (3a)"
  :precision binary64
  (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))))))