Average Error: 5.2 → 5.2
Time: 1.7s
Precision: binary64
\[\sqrt{\left(\sin \left({x}^{2}\right) + \cos x\right) + {x}^{5}}\]
↓
\[\sqrt{\left(\sin \left({x}^{2}\right) + \cos x\right) + {x}^{5}}\]
\sqrt{\left(\sin \left({x}^{2}\right) + \cos x\right) + {x}^{5}}
↓
\sqrt{\left(\sin \left({x}^{2}\right) + \cos x\right) + {x}^{5}}
double code(double x) {
	return ((double) sqrt(((double) (((double) (((double) sin(((double) pow(x, 2.0)))) + ((double) cos(x)))) + ((double) pow(x, 5.0))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) (((double) sin(((double) pow(x, 2.0)))) + ((double) cos(x)))) + ((double) pow(x, 5.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 5.2

    \[\sqrt{\left(\sin \left({x}^{2}\right) + \cos x\right) + {x}^{5}}\]

  2. Final simplification5.2

    \[\leadsto \sqrt{\left(\sin \left({x}^{2}\right) + \cos x\right) + {x}^{5}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sqrt (+ (+ (sin (pow x 2)) (cos x)) (pow x 5)))"
  :precision binary64
  (sqrt (+ (+ (sin (pow x 2.0)) (cos x)) (pow x 5.0))))