Average Error: 0.0 → 0.6
Time: 5.4s
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 r168486 = x;
        double r168487 = y;
        double r168488 = sin(r168487);
        double r168489 = r168486 + r168488;
        double r168490 = z;
        double r168491 = cos(r168487);
        double r168492 = r168490 * r168491;
        double r168493 = r168489 + r168492;
        return r168493;
}
↓
double f(double x, double y, double z) {
        double r168494 = x;
        double r168495 = y;
        double r168496 = sin(r168495);
        double r168497 = r168494 + r168496;
        double r168498 = z;
        double r168499 = cbrt(r168498);
        double r168500 = r168499 * r168499;
        double r168501 = cos(r168495);
        double r168502 = r168499 * r168501;
        double r168503 = r168500 * r168502;
        double r168504 = r168497 + r168503;
        return r168504;
}

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 0.0

    \[\left(x + \sin y\right) + z \cdot \cos y\]
  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 2020036 +o rules:numerics
(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))))