Average Error: 16.4 → 0.0
Time: 1.1s
Precision: binary64
\[x + \left(1 - x\right) \cdot \left(1 - y\right)\]
↓
\[\left(1 - y\right) + y \cdot x\]
x + \left(1 - x\right) \cdot \left(1 - y\right)
↓
\left(1 - y\right) + y \cdot x
(FPCore (x y) :precision binary64 (+ x (* (- 1.0 x) (- 1.0 y))))
↓
(FPCore (x y) :precision binary64 (+ (- 1.0 y) (* y x)))
double code(double x, double y) {
	return x + ((1.0 - x) * (1.0 - y));
}
↓
double code(double x, double y) {
	return (1.0 - y) + (y * x);
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original16.4
Target0.0
Herbie0.0
\[y \cdot x - \left(y - 1\right)\]

Derivation

  1. Initial program 16.4

    \[x + \left(1 - x\right) \cdot \left(1 - y\right)\]

  2. Simplified0.0

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

  3. Final simplification0.0

    \[\leadsto \left(1 - y\right) + y \cdot x\]

Reproduce

herbie shell --seed 2020253 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- (* y x) (- y 1.0))

  (+ x (* (- 1.0 x) (- 1.0 y))))