Average Error: 0.1 → 0.1
Time: 14.4s
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 r435402 = x;
        double r435403 = y;
        double r435404 = r435402 - r435403;
        double r435405 = 2.0;
        double r435406 = r435404 / r435405;
        double r435407 = r435402 + r435406;
        return r435407;
}

double f(double x, double y) {
        double r435408 = x;
        double r435409 = y;
        double r435410 = r435408 - r435409;
        double r435411 = 2.0;
        double r435412 = r435410 / r435411;
        double r435413 = r435408 + r435412;
        return r435413;
}

Error

Bits error versus x

Bits error versus y

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Results

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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 2019304 
(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)))