Average Error: 0.1 → 0.1
Time: 11.5s
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 r416653 = x;
        double r416654 = y;
        double r416655 = r416653 - r416654;
        double r416656 = 2.0;
        double r416657 = r416655 / r416656;
        double r416658 = r416653 + r416657;
        return r416658;
}
↓
double f(double x, double y) {
        double r416659 = x;
        double r416660 = y;
        double r416661 = r416659 - r416660;
        double r416662 = 2.0;
        double r416663 = r416661 / r416662;
        double r416664 = r416659 + r416663;
        return r416664;
}

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 2019323 
(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)))