Average Error: 17.9 → 17.9
Time: 1.7s
Precision: binary64
\[\sin \left(\frac{\sqrt{1 + x}}{\cos x}\right)\]
↓
\[\sin \left(\frac{\sqrt{1 + x}}{\cos x}\right)\]
\sin \left(\frac{\sqrt{1 + x}}{\cos x}\right)
↓
\sin \left(\frac{\sqrt{1 + x}}{\cos x}\right)
double code(double x) {
	return ((double) sin(((double) (((double) sqrt(((double) (1.0 + x)))) / ((double) cos(x))))));
}
↓
double code(double x) {
	return ((double) sin(((double) (((double) sqrt(((double) (1.0 + 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 17.9

    \[\sin \left(\frac{\sqrt{1 + x}}{\cos x}\right)\]

  2. Final simplification17.9

    \[\leadsto \sin \left(\frac{\sqrt{1 + x}}{\cos x}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sin (/ (sqrt (+ 1 x)) (cos x)))"
  :precision binary64
  (sin (/ (sqrt (+ 1.0 x)) (cos x))))