Average Error: 0.1 → 0.4
Time: 4.5s
Precision: 64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\left(x + \cos y\right) - \left(\sqrt[3]{z \cdot \sin y} \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\left(x + \cos y\right) - \left(\sqrt[3]{z \cdot \sin y} \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}
double f(double x, double y, double z) {
        double r161716 = x;
        double r161717 = y;
        double r161718 = cos(r161717);
        double r161719 = r161716 + r161718;
        double r161720 = z;
        double r161721 = sin(r161717);
        double r161722 = r161720 * r161721;
        double r161723 = r161719 - r161722;
        return r161723;
}
↓
double f(double x, double y, double z) {
        double r161724 = x;
        double r161725 = y;
        double r161726 = cos(r161725);
        double r161727 = r161724 + r161726;
        double r161728 = z;
        double r161729 = sin(r161725);
        double r161730 = r161728 * r161729;
        double r161731 = cbrt(r161730);
        double r161732 = r161731 * r161731;
        double r161733 = r161732 * r161731;
        double r161734 = r161727 - r161733;
        return r161734;
}

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

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

  4. Final simplification0.4

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

Reproduce

herbie shell --seed 2020002 +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))))