Average Error: 0.1 → 0.1
Time: 5.1s
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 r216883 = x;
        double r216884 = y;
        double r216885 = cos(r216884);
        double r216886 = r216883 * r216885;
        double r216887 = z;
        double r216888 = sin(r216884);
        double r216889 = r216887 * r216888;
        double r216890 = r216886 - r216889;
        return r216890;
}
↓
double f(double x, double y, double z) {
        double r216891 = x;
        double r216892 = y;
        double r216893 = cos(r216892);
        double r216894 = r216891 * r216893;
        double r216895 = z;
        double r216896 = sin(r216892);
        double r216897 = r216895 * r216896;
        double r216898 = r216894 - r216897;
        return r216898;
}

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 2020034 
(FPCore (x y z)
  :name "Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A"
  :precision binary64
  (- (* x (cos y)) (* z (sin y))))