Average Error: 0.3 → 0.3
Time: 3.6s
Precision: binary64
\[\left(\sin x - \cos y\right) + \mathsf{erf}\left(\left(\sqrt{x}\right)\right)\]
↓
\[\left(\sin x - \cos y\right) + \mathsf{erf}\left(\left(\sqrt{x}\right)\right)\]
\left(\sin x - \cos y\right) + \mathsf{erf}\left(\left(\sqrt{x}\right)\right)
↓
\left(\sin x - \cos y\right) + \mathsf{erf}\left(\left(\sqrt{x}\right)\right)
double code(double x, double y) {
	return ((double) (((double) (((double) sin(x)) - ((double) cos(y)))) + ((double) erf(((double) sqrt(x))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) sin(x)) - ((double) cos(y)))) + ((double) erf(((double) sqrt(x))))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[\left(\sin x - \cos y\right) + \mathsf{erf}\left(\left(\sqrt{x}\right)\right)\]

  2. Final simplification0.3

    \[\leadsto \left(\sin x - \cos y\right) + \mathsf{erf}\left(\left(\sqrt{x}\right)\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ (- (sin x) (cos y)) (erf (sqrt x)))"
  :precision binary64
  (+ (- (sin x) (cos y)) (erf (sqrt x))))