Average Error: 0.1 → 0.0
Time: 1.7s
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - y \cdot \left(4 \cdot z\right)\]
x - \left(y \cdot 4\right) \cdot z
↓
x - y \cdot \left(4 \cdot z\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 - (y * (4.0 * z)));
}

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

    \[x - \left(y \cdot 4\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020091 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))