Average Error: 27.1 → 27.1
Time: 2.0s
Precision: binary64
\[\sin \left(\sqrt{x} + 1\right) + \cos \left(\sqrt{x}\right)\]
↓
\[\sin \left(\sqrt{x} + 1\right) + \cos \left(\sqrt{x}\right)\]
\sin \left(\sqrt{x} + 1\right) + \cos \left(\sqrt{x}\right)
↓
\sin \left(\sqrt{x} + 1\right) + \cos \left(\sqrt{x}\right)
double code(double x) {
	return ((double) (((double) sin(((double) (((double) sqrt(x)) + 1.0)))) + ((double) cos(((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(((double) (((double) sqrt(x)) + 1.0)))) + ((double) cos(((double) sqrt(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.1

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

  2. Final simplification27.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (sin (+ (sqrt x) 1)) (cos (sqrt x)))"
  :precision binary64
  (+ (sin (+ (sqrt x) 1.0)) (cos (sqrt x))))