Average Error: 0.0 → 0.0

Time: 2.4s

Precision: 64

\[\frac{x \cdot y}{2}\]

↓

\[\frac{y \cdot x}{2}\]

\frac{x \cdot y}{2}

↓

\frac{y \cdot x}{2}

double f(double x, double y) {
        double r5525005 = x;
        double r5525006 = y;
        double r5525007 = r5525005 * r5525006;
        double r5525008 = 2.0;
        double r5525009 = r5525007 / r5525008;
        return r5525009;
}

↓

double f(double x, double y) {
        double r5525010 = y;
        double r5525011 = x;
        double r5525012 = r5525010 * r5525011;
        double r5525013 = 2.0;
        double r5525014 = r5525012 / r5525013;
        return r5525014;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

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Out

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Derivation

Initial program 0.0
\[\frac{x \cdot y}{2}\]
Final simplification0.0
\[\leadsto \frac{y \cdot x}{2}\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))