Average Error: 0.1 → 0.1
Time: 20.6s
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 r368401 = x;
        double r368402 = y;
        double r368403 = r368401 - r368402;
        double r368404 = 2.0;
        double r368405 = r368403 / r368404;
        double r368406 = r368401 + r368405;
        return r368406;
}
↓
double f(double x, double y) {
        double r368407 = x;
        double r368408 = y;
        double r368409 = r368407 - r368408;
        double r368410 = 2.0;
        double r368411 = r368409 / r368410;
        double r368412 = r368407 + r368411;
        return r368412;
}

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 2019304 +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)))