Average Error: 0.1 → 0.1
Time: 17.2s
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 r30865112 = x;
        double r30865113 = y;
        double r30865114 = r30865112 - r30865113;
        double r30865115 = 2.0;
        double r30865116 = r30865114 / r30865115;
        double r30865117 = r30865112 + r30865116;
        return r30865117;
}
↓
double f(double x, double y) {
        double r30865118 = 1.5;
        double r30865119 = x;
        double r30865120 = r30865118 * r30865119;
        double r30865121 = 0.5;
        double r30865122 = y;
        double r30865123 = r30865121 * r30865122;
        double r30865124 = r30865120 - r30865123;
        return r30865124;
}

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 2019163 
(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)))