Average Error: 0.1 → 0.1
Time: 22.2s
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 r428091 = x;
        double r428092 = y;
        double r428093 = r428091 - r428092;
        double r428094 = 2.0;
        double r428095 = r428093 / r428094;
        double r428096 = r428091 + r428095;
        return r428096;
}
↓
double f(double x, double y) {
        double r428097 = x;
        double r428098 = y;
        double r428099 = r428097 - r428098;
        double r428100 = 2.0;
        double r428101 = r428099 / r428100;
        double r428102 = r428097 + r428101;
        return r428102;
}

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 2019235 +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)))