Average Error: 0.4 → 0.4
Time: 4.0s
Precision: binary64
\[\frac{1}{\sin \left(\frac{1}{\sin \left(e^{x}\right)}\right)}\]
↓
\[\frac{1}{\sin \left(\frac{1}{\sin \left(e^{x}\right)}\right)}\]
\frac{1}{\sin \left(\frac{1}{\sin \left(e^{x}\right)}\right)}
↓
\frac{1}{\sin \left(\frac{1}{\sin \left(e^{x}\right)}\right)}
double code(double x) {
	return ((double) (1.0 / ((double) sin(((double) (1.0 / ((double) sin(((double) exp(x))))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) sin(((double) (1.0 / ((double) sin(((double) exp(x))))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\frac{1}{\sin \left(\frac{1}{\sin \left(e^{x}\right)}\right)}\]

  2. Final simplification0.4

    \[\leadsto \frac{1}{\sin \left(\frac{1}{\sin \left(e^{x}\right)}\right)}\]

Reproduce

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