Average Error: 0.1 → 0.1
Time: 5.4s
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 r3464 = x;
        double r3465 = y;
        double r3466 = r3464 - r3465;
        double r3467 = 2.0;
        double r3468 = r3466 / r3467;
        double r3469 = r3464 + r3468;
        return r3469;
}
↓
double f(double x, double y) {
        double r3470 = x;
        double r3471 = y;
        double r3472 = r3470 - r3471;
        double r3473 = 2.0;
        double r3474 = r3472 / r3473;
        double r3475 = r3470 + r3474;
        return r3475;
}

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 2020025 +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)))