Average Error: 0.1 → 0.1
Time: 4.6s
Precision: 64
\[x \cdot \sin y + z \cdot \cos y\]
↓
\[x \cdot \sin y + z \cdot \cos y\]
x \cdot \sin y + z \cdot \cos y
↓
x \cdot \sin y + z \cdot \cos y
double f(double x, double y, double z) {
        double r161749 = x;
        double r161750 = y;
        double r161751 = sin(r161750);
        double r161752 = r161749 * r161751;
        double r161753 = z;
        double r161754 = cos(r161750);
        double r161755 = r161753 * r161754;
        double r161756 = r161752 + r161755;
        return r161756;
}
↓
double f(double x, double y, double z) {
        double r161757 = x;
        double r161758 = y;
        double r161759 = sin(r161758);
        double r161760 = r161757 * r161759;
        double r161761 = z;
        double r161762 = cos(r161758);
        double r161763 = r161761 * r161762;
        double r161764 = r161760 + r161763;
        return r161764;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020056 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B"
  :precision binary64
  (+ (* x (sin y)) (* z (cos y))))