Average Error: 0.1 → 0.1
Time: 972.0ms
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 r412500 = x;
        double r412501 = y;
        double r412502 = r412500 - r412501;
        double r412503 = 2.0;
        double r412504 = r412502 / r412503;
        double r412505 = r412500 + r412504;
        return r412505;
}
↓
double f(double x, double y) {
        double r412506 = x;
        double r412507 = y;
        double r412508 = r412506 - r412507;
        double r412509 = 2.0;
        double r412510 = r412508 / r412509;
        double r412511 = r412506 + r412510;
        return r412511;
}

Error

Bits error versus x

Bits error versus y

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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 2019326 
(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)))