Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - 4 \cdot \left(z \cdot y\right)\]
x - \left(y \cdot 4\right) \cdot z
↓
x - 4 \cdot \left(z \cdot y\right)
double code(double x, double y, double z) {
	return (x - ((y * 4.0) * z));
}
↓
double code(double x, double y, double z) {
	return (x - (4.0 * (z * 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 0.0

    \[x - \left(y \cdot 4\right) \cdot z\]

  2. Taylor expanded around inf 0.0

    \[\leadsto \color{blue}{x - 4 \cdot \left(z \cdot y\right)}\]

  3. Final simplification0.0

    \[\leadsto x - 4 \cdot \left(z \cdot y\right)\]

Reproduce

herbie shell --seed 2020075 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))