Average Error: 0.1 → 0.1
Time: 5.6s
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 r617700 = x;
        double r617701 = y;
        double r617702 = r617700 - r617701;
        double r617703 = 2.0;
        double r617704 = r617702 / r617703;
        double r617705 = r617700 + r617704;
        return r617705;
}
↓
double f(double x, double y) {
        double r617706 = x;
        double r617707 = y;
        double r617708 = r617706 - r617707;
        double r617709 = 2.0;
        double r617710 = r617708 / r617709;
        double r617711 = r617706 + r617710;
        return r617711;
}

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 2020047 
(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)))