Average Error: 15.4 → 15.4
Time: 2.8s
Precision: binary64
\[{\left(\sin x \cdot \sin x\right)}^{\left(\frac{\sin x}{\cos x}\right)}\]
↓
\[{\left(\sin x \cdot \sin x\right)}^{\left(\frac{\sin x}{\cos x}\right)}\]
{\left(\sin x \cdot \sin x\right)}^{\left(\frac{\sin x}{\cos x}\right)}
↓
{\left(\sin x \cdot \sin x\right)}^{\left(\frac{\sin x}{\cos x}\right)}
double code(double x) {
	return ((double) pow(((double) (((double) sin(x)) * ((double) sin(x)))), ((double) (((double) sin(x)) / ((double) cos(x))))));
}
↓
double code(double x) {
	return ((double) pow(((double) (((double) sin(x)) * ((double) sin(x)))), ((double) (((double) sin(x)) / ((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 15.4

    \[{\left(\sin x \cdot \sin x\right)}^{\left(\frac{\sin x}{\cos x}\right)}\]

  2. Final simplification15.4

    \[\leadsto {\left(\sin x \cdot \sin x\right)}^{\left(\frac{\sin x}{\cos x}\right)}\]

Reproduce

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