Average Error: 0.1 → 0.1
Time: 3.5s
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 r525799 = x;
        double r525800 = y;
        double r525801 = r525799 - r525800;
        double r525802 = 2.0;
        double r525803 = r525801 / r525802;
        double r525804 = r525799 + r525803;
        return r525804;
}
↓
double f(double x, double y) {
        double r525805 = x;
        double r525806 = y;
        double r525807 = r525805 - r525806;
        double r525808 = 2.0;
        double r525809 = r525807 / r525808;
        double r525810 = r525805 + r525809;
        return r525810;
}

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)))