Average Error: 0.1 → 0.1
Time: 6.4s
Precision: binary64
\[x \cdot \cos y - z \cdot \sin y \]
↓
\[x \cdot \cos y - z \cdot \sin y \]
x \cdot \cos y - z \cdot \sin y
↓
x \cdot \cos y - z \cdot \sin y

(FPCore (x y z) :precision binary64 (- (* x (cos y)) (* z (sin y))))
↓
(FPCore (x y z) :precision binary64 (- (* x (cos y)) (* z (sin y))))
double code(double x, double y, double z) {
	return (x * cos(y)) - (z * sin(y));
}
↓
double code(double x, double y, double z) {
	return (x * cos(y)) - (z * sin(y));
}

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. Applied pow1_binary640.1

    \[\leadsto x \cdot \cos y - z \cdot \color{blue}{{\sin y}^{1}} \]

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2022076 
(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))))