Average Error: 0.1 → 0.1
Time: 12.8s
Precision: 64
\[x + \frac{x - y}{2}\]
↓
\[x + \frac{x - y}{2}\]
x + \frac{x - y}{2}
↓
x + \frac{x - y}{2}
double f(double x, double y) {
        double r483438 = x;
        double r483439 = y;
        double r483440 = r483438 - r483439;
        double r483441 = 2.0;
        double r483442 = r483440 / r483441;
        double r483443 = r483438 + r483442;
        return r483443;
}
↓
double f(double x, double y) {
        double r483444 = x;
        double r483445 = y;
        double r483446 = r483444 - r483445;
        double r483447 = 2.0;
        double r483448 = r483446 / r483447;
        double r483449 = r483444 + r483448;
        return r483449;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019323 
(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)))