Average Error: 0.1 → 0.3
Time: 5.0s
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 r187440 = x;
        double r187441 = y;
        double r187442 = cos(r187441);
        double r187443 = r187440 + r187442;
        double r187444 = z;
        double r187445 = sin(r187441);
        double r187446 = r187444 * r187445;
        double r187447 = r187443 - r187446;
        return r187447;
}
↓
double f(double x, double y, double z) {
        double r187448 = x;
        double r187449 = y;
        double r187450 = cos(r187449);
        double r187451 = r187448 + r187450;
        double r187452 = z;
        double r187453 = cbrt(r187452);
        double r187454 = sin(r187449);
        double r187455 = cbrt(r187454);
        double r187456 = r187453 * r187455;
        double r187457 = r187452 * r187454;
        double r187458 = cbrt(r187457);
        double r187459 = r187456 * r187458;
        double r187460 = r187459 * r187458;
        double r187461 = r187451 - r187460;
        return r187461;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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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 
(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))))