Average Error: 0.1 → 0.1
Time: 20.7s
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 r387741 = x;
        double r387742 = y;
        double r387743 = r387741 - r387742;
        double r387744 = 2.0;
        double r387745 = r387743 / r387744;
        double r387746 = r387741 + r387745;
        return r387746;
}
↓
double f(double x, double y) {
        double r387747 = x;
        double r387748 = y;
        double r387749 = r387747 - r387748;
        double r387750 = 2.0;
        double r387751 = r387749 / r387750;
        double r387752 = r387747 + r387751;
        return r387752;
}

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 2019347 +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)))