Average Error: 0.1 → 0.4
Time: 4.7s
Precision: 64
\[\left(x + \cos y\right) - z \cdot \sin y\]
↓
\[\left(x + \cos y\right) - \left(\sqrt[3]{z \cdot \sin y} \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}\]
\left(x + \cos y\right) - z \cdot \sin y
↓
\left(x + \cos y\right) - \left(\sqrt[3]{z \cdot \sin y} \cdot \sqrt[3]{z \cdot \sin y}\right) \cdot \sqrt[3]{z \cdot \sin y}
double f(double x, double y, double z) {
        double r176129 = x;
        double r176130 = y;
        double r176131 = cos(r176130);
        double r176132 = r176129 + r176131;
        double r176133 = z;
        double r176134 = sin(r176130);
        double r176135 = r176133 * r176134;
        double r176136 = r176132 - r176135;
        return r176136;
}
↓
double f(double x, double y, double z) {
        double r176137 = x;
        double r176138 = y;
        double r176139 = cos(r176138);
        double r176140 = r176137 + r176139;
        double r176141 = z;
        double r176142 = sin(r176138);
        double r176143 = r176141 * r176142;
        double r176144 = cbrt(r176143);
        double r176145 = r176144 * r176144;
        double r176146 = r176145 * r176144;
        double r176147 = r176140 - r176146;
        return r176147;
}

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

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

  3. Applied add-cube-cbrt0.4

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

  4. Final simplification0.4

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

Reproduce

herbie shell --seed 2020020 +o rules:numerics
(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))))