Average Error: 0.1 → 0.1
Time: 13.2s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\left(x + \sin y\right) + \left(\sqrt[3]{\cos y} \cdot z\right) \cdot {\left({\left(\cos y\right)}^{2}\right)}^{\frac{1}{3}}\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\left(x + \sin y\right) + \left(\sqrt[3]{\cos y} \cdot z\right) \cdot {\left({\left(\cos y\right)}^{2}\right)}^{\frac{1}{3}}
double f(double x, double y, double z) {
        double r135313 = x;
        double r135314 = y;
        double r135315 = sin(r135314);
        double r135316 = r135313 + r135315;
        double r135317 = z;
        double r135318 = cos(r135314);
        double r135319 = r135317 * r135318;
        double r135320 = r135316 + r135319;
        return r135320;
}
↓
double f(double x, double y, double z) {
        double r135321 = x;
        double r135322 = y;
        double r135323 = sin(r135322);
        double r135324 = r135321 + r135323;
        double r135325 = cos(r135322);
        double r135326 = cbrt(r135325);
        double r135327 = z;
        double r135328 = r135326 * r135327;
        double r135329 = 2.0;
        double r135330 = pow(r135325, r135329);
        double r135331 = 0.3333333333333333;
        double r135332 = pow(r135330, r135331);
        double r135333 = r135328 * r135332;
        double r135334 = r135324 + r135333;
        return r135334;
}

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

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

  3. Applied add-cube-cbrt0.2

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

  4. Applied associate-*r*0.2

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

  5. Simplified0.2

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

  7. Applied pow1/316.2

    \[\leadsto \left(x + \sin y\right) + \left(\left(\sqrt[3]{\cos y} \cdot \color{blue}{{\left(\cos y\right)}^{\frac{1}{3}}}\right) \cdot z\right) \cdot \sqrt[3]{\cos y}\]

  8. Applied pow1/316.1

    \[\leadsto \left(x + \sin y\right) + \left(\left(\color{blue}{{\left(\cos y\right)}^{\frac{1}{3}}} \cdot {\left(\cos y\right)}^{\frac{1}{3}}\right) \cdot z\right) \cdot \sqrt[3]{\cos y}\]

  9. Applied pow-prod-down0.1

    \[\leadsto \left(x + \sin y\right) + \left(\color{blue}{{\left(\cos y \cdot \cos y\right)}^{\frac{1}{3}}} \cdot z\right) \cdot \sqrt[3]{\cos y}\]

  10. Simplified0.1

    \[\leadsto \left(x + \sin y\right) + \left({\color{blue}{\left({\left(\cos y\right)}^{2}\right)}}^{\frac{1}{3}} \cdot z\right) \cdot \sqrt[3]{\cos y}\]
  11. Using strategy rm

  12. Applied associate-*l*0.1

    \[\leadsto \left(x + \sin y\right) + \color{blue}{{\left({\left(\cos y\right)}^{2}\right)}^{\frac{1}{3}} \cdot \left(z \cdot \sqrt[3]{\cos y}\right)}\]

  13. Simplified0.1

    \[\leadsto \left(x + \sin y\right) + {\left({\left(\cos y\right)}^{2}\right)}^{\frac{1}{3}} \cdot \color{blue}{\left(\sqrt[3]{\cos y} \cdot z\right)}\]

  14. Final simplification0.1

    \[\leadsto \left(x + \sin y\right) + \left(\sqrt[3]{\cos y} \cdot z\right) \cdot {\left({\left(\cos y\right)}^{2}\right)}^{\frac{1}{3}}\]

Reproduce

herbie shell --seed 2019195 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  (+ (+ x (sin y)) (* z (cos y))))