Average Error: 10.6 → 10.6
Time: 10.9s
Precision: binary64
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double code(double t, double l, double Om, double Omc) {
	return ((double) asin(((double) sqrt(((double) (((double) (1.0 - ((double) pow(((double) (Om / Omc)), 2.0)))) / ((double) (1.0 + ((double) (2.0 * ((double) pow(((double) (t / l)), 2.0))))))))))));
}
double code(double t, double l, double Om, double Omc) {
	return ((double) asin(((double) sqrt(((double) (((double) (1.0 - ((double) pow(((double) (Om / Omc)), 2.0)))) / ((double) (1.0 + ((double) (2.0 * ((double) pow(((double) (t / l)), 2.0))))))))))));
}

Error

Bits error versus t

Bits error versus l

Bits error versus Om

Bits error versus Omc

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 10.6

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  2. Final simplification10.6

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (t l Om Omc)
  :name "Toniolo and Linder, Equation (2)"
  :precision binary64
  (asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))))