Average Error: 0.1 → 0.1
Time: 46.1s
Precision: 64
\[x + \frac{x - y}{2.0}\]
↓
\[1.5 \cdot x - 0.5 \cdot y\]
x + \frac{x - y}{2.0}
↓
1.5 \cdot x - 0.5 \cdot y
double f(double x, double y) {
        double r26828582 = x;
        double r26828583 = y;
        double r26828584 = r26828582 - r26828583;
        double r26828585 = 2.0;
        double r26828586 = r26828584 / r26828585;
        double r26828587 = r26828582 + r26828586;
        return r26828587;
}
↓
double f(double x, double y) {
        double r26828588 = 1.5;
        double r26828589 = x;
        double r26828590 = r26828588 * r26828589;
        double r26828591 = 0.5;
        double r26828592 = y;
        double r26828593 = r26828591 * r26828592;
        double r26828594 = r26828590 - r26828593;
        return r26828594;
}

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

    \[x + \frac{x - y}{2.0}\]

  2. Taylor expanded around 0 0.1

    \[\leadsto \color{blue}{1.5 \cdot x - 0.5 \cdot y}\]

  3. Final simplification0.1

    \[\leadsto 1.5 \cdot x - 0.5 \cdot y\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"

  :herbie-target
  (- (* 1.5 x) (* 0.5 y))

  (+ x (/ (- x y) 2.0)))