Average Error: 0.1 → 0.1
Time: 3.7s
Precision: binary64
\[x + \frac{x - y}{2}\]
↓
\[x + \frac{x - y}{2}\]
x + \frac{x - y}{2}
↓
x + \frac{x - y}{2}
(FPCore (x y) :precision binary64 (+ x (/ (- x y) 2.0)))
↓
(FPCore (x y) :precision binary64 (+ x (/ (- x y) 2.0)))
double code(double x, double y) {
	return ((double) (x + (((double) (x - y)) / 2.0)));
}
↓
double code(double x, double y) {
	return ((double) (x + (((double) (x - y)) / 2.0)));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[1.5 \cdot x - 0.5 \cdot y\]

Derivation

  1. Initial program Error: 0.1 bits

    \[x + \frac{x - y}{2}\]

  2. Final simplificationError: 0.1 bits

    \[\leadsto x + \frac{x - y}{2}\]

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- (* 1.5 x) (* 0.5 y))

  (+ x (/ (- x y) 2.0)))