Average Error: 0.0 → 0.0
Time: 3.0s
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
Error32.7
Cost13504
\[\sqrt{x \cdot \left(1 - y\right)} \cdot \sqrt{x \cdot \left(1 - y\right)}\]
Alternative 2
Error13.8
Cost704
\[\frac{x \cdot \left(1 - y \cdot y\right)}{y + 1}\]
Alternative 3
Error49.0
Cost640
\[\frac{x \cdot \left(y \cdot \left(-y\right)\right)}{y + 1}\]
Alternative 4
Error0.0
Cost320
\[x \cdot \left(1 - y\right)\]
Alternative 5
Error35.2
Cost256
\[x \cdot \left(-y\right)\]
Alternative 6
Error27.6
Cost64
\[x\]
Alternative 7
Error61.7
Cost64
\[1\]
Alternative 8
Error61.8
Cost64
\[0\]
Alternative 9
Error61.7
Cost64
\[-1\]

Error

Derivation

  1. Initial program 0.0

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

  3. Applied sub-neg_binary64_87220.0

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

  4. Applied distribute-rgt-in_binary64_86790.0

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

  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 2021042 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1.0 y)))