Average Error: 0.1 → 0.1
Time: 5.3s
Precision: binary64
\[x \cdot \sin y + z \cdot \cos y \]
↓
\[x \cdot \sin y + z \cdot \cos y \]
x \cdot \sin y + z \cdot \cos y
↓
x \cdot \sin y + z \cdot \cos y

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

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

  2. Applied *-un-lft-identity_binary640.1

    \[\leadsto \color{blue}{1 \cdot \left(x \cdot \sin y\right)} + z \cdot \cos y \]

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2022093 
(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))))