Average Error: 16.0 → 16.0
Time: 2.7s
Precision: binary64
\[\frac{1}{{\left(\cos x\right)}^{2}} - 1\]
↓
\[\frac{1}{{\left(\cos x\right)}^{2}} - 1\]
\frac{1}{{\left(\cos x\right)}^{2}} - 1
↓
\frac{1}{{\left(\cos x\right)}^{2}} - 1
double code(double x) {
	return ((double) (((double) (1.0 / ((double) pow(((double) cos(x)), 2.0)))) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 / ((double) pow(((double) cos(x)), 2.0)))) - 1.0));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 16.0

    \[\frac{1}{{\left(\cos x\right)}^{2}} - 1\]

  2. Final simplification16.0

    \[\leadsto \frac{1}{{\left(\cos x\right)}^{2}} - 1\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (/ 1 (pow (cos x) 2)) 1)"
  :precision binary64
  (- (/ 1.0 (pow (cos x) 2.0)) 1.0))