Average Error: 31.8 → 31.8
Time: 4.9s
Precision: binary64
\[\frac{\cos x - 1}{x \cdot \sin x}\]
↓
\[\frac{\cos x - 1}{x \cdot \sin x}\]
\frac{\cos x - 1}{x \cdot \sin x}
↓
\frac{\cos x - 1}{x \cdot \sin x}
double code(double x) {
	return ((double) (((double) (((double) cos(x)) - 1.0)) / ((double) (x * ((double) sin(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) cos(x)) - 1.0)) / ((double) (x * ((double) sin(x))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 31.8

    \[\frac{\cos x - 1}{x \cdot \sin x}\]

  2. Final simplification31.8

    \[\leadsto \frac{\cos x - 1}{x \cdot \sin x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (- (cos x) 1) (* x (sin x)))"
  :precision binary64
  (/ (- (cos x) 1.0) (* x (sin x))))