Average Error: 0.1 → 0.1
Time: 1.5s
Precision: binary64
\[\sin \left(2 \cdot x\right) + \left|cos4x \cdot 3\right|\]
↓
\[\sin \left(2 \cdot x\right) + \left|cos4x \cdot 3\right|\]
\sin \left(2 \cdot x\right) + \left|cos4x \cdot 3\right|
↓
\sin \left(2 \cdot x\right) + \left|cos4x \cdot 3\right|
double code(double x, double cos4x) {
	return ((double) (((double) sin(((double) (2.0 * x)))) + ((double) fabs(((double) (cos4x * 3.0))))));
}
↓
double code(double x, double cos4x) {
	return ((double) (((double) sin(((double) (2.0 * x)))) + ((double) fabs(((double) (cos4x * 3.0))))));
}

Error

Bits error versus x

Bits error versus cos4x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sin \left(2 \cdot x\right) + \left|cos4x \cdot 3\right|\]

  2. Final simplification0.1

    \[\leadsto \sin \left(2 \cdot x\right) + \left|cos4x \cdot 3\right|\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x cos4x)
  :name "(+ (sin (* 2 x)) (fabs (* cos4x 3)))"
  :precision binary64
  (+ (sin (* 2.0 x)) (fabs (* cos4x 3.0))))