Average Error: 3.4 → 3.4
Time: 3.8s
Precision: binary64
\[\sin \left(e^{x}\right) - \sin \left(e^{x + e}\right)\]
↓
\[\sin \left(e^{x}\right) - \sin \left(e^{x + e}\right)\]
\sin \left(e^{x}\right) - \sin \left(e^{x + e}\right)
↓
\sin \left(e^{x}\right) - \sin \left(e^{x + e}\right)
double code(double x) {
	return ((double) (((double) sin(((double) exp(x)))) - ((double) sin(((double) exp(((double) (x + ((double) M_E)))))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(((double) exp(x)))) - ((double) sin(((double) exp(((double) (x + ((double) M_E)))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.4

    \[\sin \left(e^{x}\right) - \sin \left(e^{x + e}\right)\]

  2. Final simplification3.4

    \[\leadsto \sin \left(e^{x}\right) - \sin \left(e^{x + e}\right)\]

Reproduce

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