Average Error: 0.0 → 0.5
Time: 12.9s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\left(x + \sin y\right) + \sqrt[3]{z \cdot \cos y} \cdot \left(\sqrt[3]{z \cdot \cos y} \cdot \sqrt[3]{z \cdot \cos y}\right)\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\left(x + \sin y\right) + \sqrt[3]{z \cdot \cos y} \cdot \left(\sqrt[3]{z \cdot \cos y} \cdot \sqrt[3]{z \cdot \cos y}\right)
double f(double x, double y, double z) {
        double r152551 = x;
        double r152552 = y;
        double r152553 = sin(r152552);
        double r152554 = r152551 + r152553;
        double r152555 = z;
        double r152556 = cos(r152552);
        double r152557 = r152555 * r152556;
        double r152558 = r152554 + r152557;
        return r152558;
}
↓
double f(double x, double y, double z) {
        double r152559 = x;
        double r152560 = y;
        double r152561 = sin(r152560);
        double r152562 = r152559 + r152561;
        double r152563 = z;
        double r152564 = cos(r152560);
        double r152565 = r152563 * r152564;
        double r152566 = cbrt(r152565);
        double r152567 = r152566 * r152566;
        double r152568 = r152566 * r152567;
        double r152569 = r152562 + r152568;
        return r152569;
}

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 0.0

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

  3. Applied add-cube-cbrt0.5

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

  4. Final simplification0.5

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

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  (+ (+ x (sin y)) (* z (cos y))))