Average Error: 0.1 → 0.1
Time: 5.0s
Precision: 64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\cos y + \left(x - z \cdot \sin y\right)\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\cos y + \left(x - z \cdot \sin y\right)
double code(double x, double y, double z) {
	return ((double) (((double) (x + ((double) cos(y)))) - ((double) (z * ((double) sin(y))))));
}
↓
double code(double x, double y, double z) {
	return ((double) (((double) cos(y)) + ((double) (x - ((double) (z * ((double) sin(y))))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(x + \cos y\right) - z \cdot \sin y\]
  2. Using strategy rm

  3. Applied +-commutative0.1

    \[\leadsto \color{blue}{\left(\cos y + x\right)} - z \cdot \sin y\]

  4. Applied associate--l+0.1

    \[\leadsto \color{blue}{\cos y + \left(x - z \cdot \sin y\right)}\]

  5. Final simplification0.1

    \[\leadsto \cos y + \left(x - z \cdot \sin y\right)\]

Reproduce

herbie shell --seed 2020113 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B"
  :precision binary64
  (- (+ x (cos y)) (* z (sin y))))