Average Error: 0.0 → 0.0
Time: 1.0s
Precision: binary64
Cost: 320
\[x \cdot \left(1 - y\right)\]
↓
\[x - x \cdot y\]
x \cdot \left(1 - y\right)
↓
x - x \cdot y
(FPCore (x y) :precision binary64 (* x (- 1.0 y)))
↓
(FPCore (x y) :precision binary64 (- x (* x y)))
double code(double x, double y) {
	return x * (1.0 - y);
}
↓
double code(double x, double y) {
	return x - (x * y);
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Alternatives

Alternative 1
Error0.0
Cost320
\[x \cdot \left(1 - y\right)\]
Alternative 2
Error1.6
Cost584
\[\begin{array}{l} \mathbf{if}\;y \leq -1.0160957911913964 \lor \neg \left(y \leq 1.0172632131787536\right):\\ \;\;\;\;x \cdot \left(-y\right)\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array}\]
Alternative 3
Error26.3
Cost64
\[x\]
Alternative 4
Error61.8
Cost64
\[1\]

Error

Derivation

  1. Initial program 0.0

    \[x \cdot \left(1 - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg_binary64_48450.0

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

  4. Applied distribute-rgt-in_binary64_48020.0

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

  5. Simplified0.0

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

  6. Simplified0.0

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

  7. Simplified0.0

    \[\leadsto \color{blue}{x - x \cdot y}\]

  8. Final simplification0.0

    \[\leadsto x - x \cdot y\]

Reproduce

herbie shell --seed 2021044 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1.0 y)))