Average Error: 0.1 → 0.1
Time: 3.4s
Precision: binary64
\[\left(x \cdot y + z\right) \cdot y + t\]
↓
\[y \cdot \left(x \cdot y + z\right) + t\]
\left(x \cdot y + z\right) \cdot y + t
↓
y \cdot \left(x \cdot y + z\right) + t
(FPCore (x y z t) :precision binary64 (+ (* (+ (* x y) z) y) t))
↓
(FPCore (x y z t) :precision binary64 (+ (* y (+ (* x y) z)) t))
double code(double x, double y, double z, double t) {
	return (((x * y) + z) * y) + t;
}
↓
double code(double x, double y, double z, double t) {
	return (y * ((x * y) + z)) + t;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(x \cdot y + z\right) \cdot y + t\]

  2. Final simplification0.1

    \[\leadsto y \cdot \left(x \cdot y + z\right) + t\]

Reproduce

herbie shell --seed 2020224 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  :precision binary64
  (+ (* (+ (* x y) z) y) t))