Average Error: 2.4 → 2.4
Time: 3.9s
Precision: binary64
\[{x}^{\left(\left(\sin x\right) \bmod 1\right)}\]
↓
\[{x}^{\left(\left(\sin x\right) \bmod 1\right)}\]
{x}^{\left(\left(\sin x\right) \bmod 1\right)}
↓
{x}^{\left(\left(\sin x\right) \bmod 1\right)}
double code(double x) {
	return ((double) pow(x, ((double) fmod(((double) sin(x)), 1.0))));
}
↓
double code(double x) {
	return ((double) pow(x, ((double) fmod(((double) sin(x)), 1.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.4

    \[{x}^{\left(\left(\sin x\right) \bmod 1\right)}\]

  2. Final simplification2.4

    \[\leadsto {x}^{\left(\left(\sin x\right) \bmod 1\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(pow x (fmod (sin x) 1))"
  :precision binary64
  (pow x (fmod (sin x) 1.0)))