Average Error: 56.6 → 56.6
Time: 3.3s
Precision: binary64
\[\frac{\tan \left(1 + x\right)}{\tan 1} - \cos x\]
↓
\[\frac{\tan \left(1 + x\right)}{\tan 1} - \cos x\]
\frac{\tan \left(1 + x\right)}{\tan 1} - \cos x
↓
\frac{\tan \left(1 + x\right)}{\tan 1} - \cos x
double code(double x) {
	return ((double) (((double) (((double) tan(((double) (1.0 + x)))) / ((double) tan(1.0)))) - ((double) cos(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) tan(((double) (1.0 + x)))) / ((double) tan(1.0)))) - ((double) cos(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 56.6

    \[\frac{\tan \left(1 + x\right)}{\tan 1} - \cos x\]

  2. Final simplification56.6

    \[\leadsto \frac{\tan \left(1 + x\right)}{\tan 1} - \cos x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (/ (tan (+ 1 x)) (tan 1)) (cos x))"
  :precision binary64
  (- (/ (tan (+ 1.0 x)) (tan 1.0)) (cos x)))