Average Error: 0.1 → 0.1
Time: 20.1s
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 r13609543 = x;
        double r13609544 = y;
        double r13609545 = cos(r13609544);
        double r13609546 = r13609543 * r13609545;
        double r13609547 = z;
        double r13609548 = sin(r13609544);
        double r13609549 = r13609547 * r13609548;
        double r13609550 = r13609546 + r13609549;
        return r13609550;
}
↓
double f(double x, double y, double z) {
        double r13609551 = x;
        double r13609552 = y;
        double r13609553 = cos(r13609552);
        double r13609554 = r13609551 * r13609553;
        double r13609555 = z;
        double r13609556 = sin(r13609552);
        double r13609557 = r13609555 * r13609556;
        double r13609558 = r13609554 + r13609557;
        return r13609558;
}

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))))