Average Error: 0.1 → 0.1
Time: 1.8s
Precision: binary64
\[\sqrt{x} \cdot \sin 45 - \cos 33\]
↓
\[\sqrt{x} \cdot \sin 45 - \cos 33\]
\sqrt{x} \cdot \sin 45 - \cos 33
↓
\sqrt{x} \cdot \sin 45 - \cos 33
double code(double x) {
	return ((double) (((double) (((double) sqrt(x)) * ((double) sin(45.0)))) - ((double) cos(33.0))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(x)) * ((double) sin(45.0)))) - ((double) cos(33.0))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.1

    \[\sqrt{x} \cdot \sin 45 - \cos 33\]

  2. Final simplification0.1

    \[\leadsto \sqrt{x} \cdot \sin 45 - \cos 33\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (* (sqrt x) (sin 45)) (cos 33))"
  :precision binary64
  (- (* (sqrt x) (sin 45.0)) (cos 33.0)))