Average Error: 0.2 → 0.2
Time: 1.7s
Precision: binary64
\[\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}\]
↓
\[\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}\]
\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}
↓
\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}
double code(double x) {
	return ((double) (((double) (((double) sin(x)) / ((double) cos(x)))) + ((double) (((double) cos(x)) / ((double) sin(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sin(x)) / ((double) cos(x)))) + ((double) (((double) cos(x)) / ((double) sin(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}\]

  2. Final simplification0.2

    \[\leadsto \frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}\]

Reproduce

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