Average Error: 0.1 → 0.1
Time: 3.7s
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 r594460 = x;
        double r594461 = y;
        double r594462 = r594460 - r594461;
        double r594463 = 2.0;
        double r594464 = r594462 / r594463;
        double r594465 = r594460 + r594464;
        return r594465;
}
↓
double f(double x, double y) {
        double r594466 = x;
        double r594467 = y;
        double r594468 = r594466 - r594467;
        double r594469 = 2.0;
        double r594470 = r594468 / r594469;
        double r594471 = r594466 + r594470;
        return r594471;
}

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 2020001 +o rules:numerics
(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)))