Average Error: 0.2 → 0.2
Time: 3.9s
Precision: binary64
\[\sin \left(\sin \left(\sin \left(\sin \left(\sin \left(\sin x\right)\right)\right)\right)\right)\]
↓
\[\sin \left(\sin \left(\sin \left(\sin \left(\sin \left(\sin x\right)\right)\right)\right)\right)\]
\sin \left(\sin \left(\sin \left(\sin \left(\sin \left(\sin x\right)\right)\right)\right)\right)
↓
\sin \left(\sin \left(\sin \left(\sin \left(\sin \left(\sin x\right)\right)\right)\right)\right)
double code(double x) {
	return ((double) sin(((double) sin(((double) sin(((double) sin(((double) sin(((double) sin(x))))))))))));
}
↓
double code(double x) {
	return ((double) sin(((double) sin(((double) sin(((double) sin(((double) sin(((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

    \[\sin \left(\sin \left(\sin \left(\sin \left(\sin \left(\sin x\right)\right)\right)\right)\right)\]

  2. Final simplification0.2

    \[\leadsto \sin \left(\sin \left(\sin \left(\sin \left(\sin \left(\sin x\right)\right)\right)\right)\right)\]

Reproduce

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