Average Error: 0.1 → 0.1
Time: 7.7s
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 r803483 = x;
        double r803484 = y;
        double r803485 = r803483 - r803484;
        double r803486 = 2.0;
        double r803487 = r803485 / r803486;
        double r803488 = r803483 + r803487;
        return r803488;
}
↓
double f(double x, double y) {
        double r803489 = x;
        double r803490 = y;
        double r803491 = r803489 - r803490;
        double r803492 = 2.0;
        double r803493 = r803491 / r803492;
        double r803494 = r803489 + r803493;
        return r803494;
}

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 2019353 
(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)))