Average Error: 0.0 → 0.6
Time: 5.6s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\left(x + \sin y\right) + \left(\sqrt[3]{z} \cdot \sqrt[3]{z}\right) \cdot \left(\sqrt[3]{z} \cdot \cos y\right)\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\left(x + \sin y\right) + \left(\sqrt[3]{z} \cdot \sqrt[3]{z}\right) \cdot \left(\sqrt[3]{z} \cdot \cos y\right)
double f(double x, double y, double z) {
        double r154565 = x;
        double r154566 = y;
        double r154567 = sin(r154566);
        double r154568 = r154565 + r154567;
        double r154569 = z;
        double r154570 = cos(r154566);
        double r154571 = r154569 * r154570;
        double r154572 = r154568 + r154571;
        return r154572;
}
↓
double f(double x, double y, double z) {
        double r154573 = x;
        double r154574 = y;
        double r154575 = sin(r154574);
        double r154576 = r154573 + r154575;
        double r154577 = z;
        double r154578 = cbrt(r154577);
        double r154579 = r154578 * r154578;
        double r154580 = cos(r154574);
        double r154581 = r154578 * r154580;
        double r154582 = r154579 * r154581;
        double r154583 = r154576 + r154582;
        return r154583;
}

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-cbrt0.6

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

  4. Applied associate-*l*0.6

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

  5. Final simplification0.6

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

Reproduce

herbie shell --seed 2020036 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  :precision binary64
  (+ (+ x (sin y)) (* z (cos y))))