Average Error: 0.1 → 0.1
Time: 7.7s
Precision: binary64
\[\left(x + \cos y\right) - z \cdot \sin y \]
↓
\[\left(\cos y + x\right) - z \cdot \sin y \]
\left(x + \cos y\right) - z \cdot \sin y
↓
\left(\cos y + x\right) - z \cdot \sin y

(FPCore (x y z) :precision binary64 (- (+ x (cos y)) (* z (sin y))))
↓
(FPCore (x y z) :precision binary64 (- (+ (cos y) x) (* 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 (cos(y) + x) - (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

    \[\left(x + \cos y\right) - z \cdot \sin y \]

  2. Applied add-cube-cbrt_binary640.8

    \[\leadsto \color{blue}{\left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) \cdot \sqrt[3]{x + \cos y}} - z \cdot \sin y \]

  3. Applied pow1_binary640.8

    \[\leadsto \left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) \cdot \color{blue}{{\left(\sqrt[3]{x + \cos y}\right)}^{1}} - z \cdot \sin y \]

  4. Applied pow1_binary640.8

    \[\leadsto \left(\sqrt[3]{x + \cos y} \cdot \color{blue}{{\left(\sqrt[3]{x + \cos y}\right)}^{1}}\right) \cdot {\left(\sqrt[3]{x + \cos y}\right)}^{1} - z \cdot \sin y \]

  5. Applied pow1_binary640.8

    \[\leadsto \left(\color{blue}{{\left(\sqrt[3]{x + \cos y}\right)}^{1}} \cdot {\left(\sqrt[3]{x + \cos y}\right)}^{1}\right) \cdot {\left(\sqrt[3]{x + \cos y}\right)}^{1} - z \cdot \sin y \]

  6. Applied pow-prod-down_binary640.8

    \[\leadsto \color{blue}{{\left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right)}^{1}} \cdot {\left(\sqrt[3]{x + \cos y}\right)}^{1} - z \cdot \sin y \]

  7. Applied pow-prod-down_binary640.8

    \[\leadsto \color{blue}{{\left(\left(\sqrt[3]{x + \cos y} \cdot \sqrt[3]{x + \cos y}\right) \cdot \sqrt[3]{x + \cos y}\right)}^{1}} - z \cdot \sin y \]

  8. Simplified0.1

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

  9. Final simplification0.1

    \[\leadsto \left(\cos y + x\right) - z \cdot \sin y \]

Reproduce

herbie shell --seed 2021275 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B"
  :precision binary64
  (- (+ x (cos y)) (* z (sin y))))