Average Error: 0.1 → 0.1
Time: 17.9s
Precision: 64
\[x \cdot \cos y - z \cdot \sin y\]
↓
\[x \cdot \cos y - z \cdot \sin y\]
x \cdot \cos y - z \cdot \sin y
↓
x \cdot \cos y - z \cdot \sin y
double f(double x, double y, double z) {
        double r11199710 = x;
        double r11199711 = y;
        double r11199712 = cos(r11199711);
        double r11199713 = r11199710 * r11199712;
        double r11199714 = z;
        double r11199715 = sin(r11199711);
        double r11199716 = r11199714 * r11199715;
        double r11199717 = r11199713 - r11199716;
        return r11199717;
}
↓
double f(double x, double y, double z) {
        double r11199718 = x;
        double r11199719 = y;
        double r11199720 = cos(r11199719);
        double r11199721 = r11199718 * r11199720;
        double r11199722 = z;
        double r11199723 = sin(r11199719);
        double r11199724 = r11199722 * r11199723;
        double r11199725 = r11199721 - r11199724;
        return r11199725;
}

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

    \[x \cdot \cos y - z \cdot \sin y\]

  2. Final simplification0.1

    \[\leadsto x \cdot \cos y - z \cdot \sin y\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A"
  (- (* x (cos y)) (* z (sin y))))