Average Error: 0.1 → 0.1
Time: 17.6s
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 r451203 = x;
        double r451204 = y;
        double r451205 = r451203 - r451204;
        double r451206 = 2.0;
        double r451207 = r451205 / r451206;
        double r451208 = r451203 + r451207;
        return r451208;
}
↓
double f(double x, double y) {
        double r451209 = x;
        double r451210 = y;
        double r451211 = r451209 - r451210;
        double r451212 = 2.0;
        double r451213 = r451211 / r451212;
        double r451214 = r451209 + r451213;
        return r451214;
}

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 2019303 +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)))