Average Error: 0.0 → 0.3
Time: 13.3s
Precision: 64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\left(x + \cos y\right) - \left(\left(\sqrt[3]{z} \cdot \sqrt[3]{\sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\left(x + \cos y\right) - \left(\left(\sqrt[3]{z} \cdot \sqrt[3]{\sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}
double f(double x, double y, double z) {
        double r146485 = x;
        double r146486 = y;
        double r146487 = cos(r146486);
        double r146488 = r146485 + r146487;
        double r146489 = z;
        double r146490 = sin(r146486);
        double r146491 = r146489 * r146490;
        double r146492 = r146488 - r146491;
        return r146492;
}
↓
double f(double x, double y, double z) {
        double r146493 = x;
        double r146494 = y;
        double r146495 = cos(r146494);
        double r146496 = r146493 + r146495;
        double r146497 = z;
        double r146498 = cbrt(r146497);
        double r146499 = sin(r146494);
        double r146500 = cbrt(r146499);
        double r146501 = r146498 * r146500;
        double r146502 = r146497 * r146499;
        double r146503 = cbrt(r146502);
        double r146504 = r146501 * r146503;
        double r146505 = r146504 * r146503;
        double r146506 = r146496 - r146505;
        return r146506;
}

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

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

  3. Applied add-cube-cbrt0.3

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

  5. Applied cbrt-prod0.3

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

  6. Final simplification0.3

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

Reproduce

herbie shell --seed 2019208 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B"
  :precision binary64
  (- (+ x (cos y)) (* z (sin y))))