Average Error: 0.4 → 0.4
Time: 1.1s
Precision: binary64
\[1 + \cos \left(2 \cdot x\right)\]
↓
\[1 + \cos \left(2 \cdot x\right)\]
1 + \cos \left(2 \cdot x\right)
↓
1 + \cos \left(2 \cdot x\right)
double code(double x) {
	return ((double) (1.0 + ((double) cos(((double) (2.0 * x))))));
}
↓
double code(double x) {
	return ((double) (1.0 + ((double) cos(((double) (2.0 * x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[1 + \cos \left(2 \cdot x\right)\]

  2. Final simplification0.4

    \[\leadsto 1 + \cos \left(2 \cdot x\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ 1 (cos (* 2 x)))"
  :precision binary64
  (+ 1.0 (cos (* 2.0 x))))