Average Error: 0.1 → 0.8
Time: 3.9s
Precision: binary64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\sqrt[3]{x + \cos y} \cdot \left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) - z \cdot \sin y\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\sqrt[3]{x + \cos y} \cdot \left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) - z \cdot \sin y
(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))
↓
(FPCore (x y z)
 :precision binary64
 (-
  (* (cbrt (+ x (cos y))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))
  (* z (sin y))))
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) (((double) cbrt(((double) (x + ((double) cos(y)))))) * ((double) (((double) cbrt(((double) (x + ((double) cos(y)))))) * ((double) cbrt(((double) (x + ((double) cos(y)))))))))) - ((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 add-cube-cbrt_binary640.8

    \[\leadsto \color{blue}{\left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) \cdot \sqrt[3]{x + \cos y}} - z \cdot \sin y\]

  4. Final simplification0.8

    \[\leadsto \sqrt[3]{x + \cos y} \cdot \left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) - z \cdot \sin y\]

Reproduce

herbie shell --seed 2020210 
(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))))