Average Error: 0.1 → 0.3
Time: 18.9s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\left(x + \sin y\right) + \left(z \cdot \left(\sqrt[3]{\cos y} \cdot \sqrt[3]{\cos y}\right)\right) \cdot \sqrt[3]{\cos y}\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\left(x + \sin y\right) + \left(z \cdot \left(\sqrt[3]{\cos y} \cdot \sqrt[3]{\cos y}\right)\right) \cdot \sqrt[3]{\cos y}
double f(double x, double y, double z) {
        double r11553970 = x;
        double r11553971 = y;
        double r11553972 = sin(r11553971);
        double r11553973 = r11553970 + r11553972;
        double r11553974 = z;
        double r11553975 = cos(r11553971);
        double r11553976 = r11553974 * r11553975;
        double r11553977 = r11553973 + r11553976;
        return r11553977;
}
↓
double f(double x, double y, double z) {
        double r11553978 = x;
        double r11553979 = y;
        double r11553980 = sin(r11553979);
        double r11553981 = r11553978 + r11553980;
        double r11553982 = z;
        double r11553983 = cos(r11553979);
        double r11553984 = cbrt(r11553983);
        double r11553985 = r11553984 * r11553984;
        double r11553986 = r11553982 * r11553985;
        double r11553987 = r11553986 * r11553984;
        double r11553988 = r11553981 + r11553987;
        return r11553988;
}

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-cbrt0.3

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

  4. Applied associate-*r*0.3

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

  5. Final simplification0.3

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  (+ (+ x (sin y)) (* z (cos y))))