Average Error: 0.1 → 0.3
Time: 5.2s
Precision: 64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\left(x + \cos y\right) - \left(\left(\sqrt[3]{z} \cdot \sqrt[3]{\sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\left(x + \cos y\right) - \left(\left(\sqrt[3]{z} \cdot \sqrt[3]{\sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}
double f(double x, double y, double z) {
        double r277813 = x;
        double r277814 = y;
        double r277815 = cos(r277814);
        double r277816 = r277813 + r277815;
        double r277817 = z;
        double r277818 = sin(r277814);
        double r277819 = r277817 * r277818;
        double r277820 = r277816 - r277819;
        return r277820;
}
↓
double f(double x, double y, double z) {
        double r277821 = x;
        double r277822 = y;
        double r277823 = cos(r277822);
        double r277824 = r277821 + r277823;
        double r277825 = z;
        double r277826 = cbrt(r277825);
        double r277827 = sin(r277822);
        double r277828 = cbrt(r277827);
        double r277829 = r277826 * r277828;
        double r277830 = r277825 * r277827;
        double r277831 = cbrt(r277830);
        double r277832 = r277829 * r277831;
        double r277833 = r277832 * r277831;
        double r277834 = r277824 - r277833;
        return r277834;
}

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. Using strategy rm

  5. Applied cbrt-prod0.3

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

  6. Final simplification0.3

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

Reproduce

herbie shell --seed 2020100 +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))))