Average Error: 0.1 → 0.4
Time: 5.1s
Precision: 64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\left(x + \cos y\right) - \left(z \cdot \left(\sqrt[3]{\sin y} \cdot \sqrt[3]{\sin y}\right)\right) \cdot \sqrt[3]{\sin y}\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\left(x + \cos y\right) - \left(z \cdot \left(\sqrt[3]{\sin y} \cdot \sqrt[3]{\sin y}\right)\right) \cdot \sqrt[3]{\sin y}
double f(double x, double y, double z) {
        double r238883 = x;
        double r238884 = y;
        double r238885 = cos(r238884);
        double r238886 = r238883 + r238885;
        double r238887 = z;
        double r238888 = sin(r238884);
        double r238889 = r238887 * r238888;
        double r238890 = r238886 - r238889;
        return r238890;
}
↓
double f(double x, double y, double z) {
        double r238891 = x;
        double r238892 = y;
        double r238893 = cos(r238892);
        double r238894 = r238891 + r238893;
        double r238895 = z;
        double r238896 = sin(r238892);
        double r238897 = cbrt(r238896);
        double r238898 = r238897 * r238897;
        double r238899 = r238895 * r238898;
        double r238900 = r238899 * r238897;
        double r238901 = r238894 - r238900;
        return r238901;
}

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-cbrt0.4

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

  4. Applied associate-*r*0.4

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

  5. Final simplification0.4

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

Reproduce

herbie shell --seed 2020034 +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))))