Average Error: 10.1 → 10.1
Time: 11.6s
Precision: binary64
\[{\left(\tan x\right)}^{\left(\sin \left({x}^{\left(\sqrt{\cos x}\right)}\right)\right)}\]
↓
\[{\left(\tan x\right)}^{\left(\sin \left({x}^{\left(\sqrt{\cos x}\right)}\right)\right)}\]
{\left(\tan x\right)}^{\left(\sin \left({x}^{\left(\sqrt{\cos x}\right)}\right)\right)}
↓
{\left(\tan x\right)}^{\left(\sin \left({x}^{\left(\sqrt{\cos x}\right)}\right)\right)}
double code(double x) {
	return ((double) pow(((double) tan(x)), ((double) sin(((double) pow(x, ((double) sqrt(((double) cos(x))))))))));
}
↓
double code(double x) {
	return ((double) pow(((double) tan(x)), ((double) sin(((double) pow(x, ((double) sqrt(((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 10.1

    \[{\left(\tan x\right)}^{\left(\sin \left({x}^{\left(\sqrt{\cos x}\right)}\right)\right)}\]

  2. Final simplification10.1

    \[\leadsto {\left(\tan x\right)}^{\left(\sin \left({x}^{\left(\sqrt{\cos x}\right)}\right)\right)}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(pow (tan x) (sin (pow x (sqrt (cos x)))))"
  :precision binary64
  (pow (tan x) (sin (pow x (sqrt (cos x))))))