Average Error: 0.1 → 0.6
Time: 8.6s
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 r147889 = x;
        double r147890 = y;
        double r147891 = sin(r147890);
        double r147892 = r147889 + r147891;
        double r147893 = z;
        double r147894 = cos(r147890);
        double r147895 = r147893 * r147894;
        double r147896 = r147892 + r147895;
        return r147896;
}
↓
double f(double x, double y, double z) {
        double r147897 = x;
        double r147898 = y;
        double r147899 = sin(r147898);
        double r147900 = r147897 + r147899;
        double r147901 = z;
        double r147902 = cbrt(r147901);
        double r147903 = r147902 * r147902;
        double r147904 = cos(r147898);
        double r147905 = r147902 * r147904;
        double r147906 = r147903 * r147905;
        double r147907 = r147900 + r147906;
        return r147907;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.1

    \[\left(x + \sin y\right) + z \cdot \cos y\]
  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 2019308 
(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))))