Average Error: 0.1 → 0.1
Time: 19.7s
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 r11260879 = x;
        double r11260880 = y;
        double r11260881 = cos(r11260880);
        double r11260882 = r11260879 * r11260881;
        double r11260883 = z;
        double r11260884 = sin(r11260880);
        double r11260885 = r11260883 * r11260884;
        double r11260886 = r11260882 + r11260885;
        return r11260886;
}
↓
double f(double x, double y, double z) {
        double r11260887 = x;
        double r11260888 = y;
        double r11260889 = cos(r11260888);
        double r11260890 = r11260887 * r11260889;
        double r11260891 = z;
        double r11260892 = sin(r11260888);
        double r11260893 = r11260891 * r11260892;
        double r11260894 = r11260890 + r11260893;
        return r11260894;
}

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:aboutY from diagrams-lib-1.3.0.3"
  (+ (* x (cos y)) (* z (sin y))))