Average Error: 0.1 → 0.3
Time: 17.8s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[\left(x + \sin y\right) + \sqrt[3]{\cos y} \cdot \left(\left(\sqrt[3]{\cos y} \cdot \sqrt[3]{\cos y}\right) \cdot z\right)\]
\left(x + \sin y\right) + z \cdot \cos y
↓
\left(x + \sin y\right) + \sqrt[3]{\cos y} \cdot \left(\left(\sqrt[3]{\cos y} \cdot \sqrt[3]{\cos y}\right) \cdot z\right)
double f(double x, double y, double z) {
        double r9882970 = x;
        double r9882971 = y;
        double r9882972 = sin(r9882971);
        double r9882973 = r9882970 + r9882972;
        double r9882974 = z;
        double r9882975 = cos(r9882971);
        double r9882976 = r9882974 * r9882975;
        double r9882977 = r9882973 + r9882976;
        return r9882977;
}
↓
double f(double x, double y, double z) {
        double r9882978 = x;
        double r9882979 = y;
        double r9882980 = sin(r9882979);
        double r9882981 = r9882978 + r9882980;
        double r9882982 = cos(r9882979);
        double r9882983 = cbrt(r9882982);
        double r9882984 = r9882983 * r9882983;
        double r9882985 = z;
        double r9882986 = r9882984 * r9882985;
        double r9882987 = r9882983 * r9882986;
        double r9882988 = r9882981 + r9882987;
        return r9882988;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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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

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

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))))