Average Error: 0.0 → 0.0

Time: 5.5s

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 r3866113 = x;
        double r3866114 = y;
        double r3866115 = r3866113 * r3866114;
        double r3866116 = 2.0;
        double r3866117 = r3866115 / r3866116;
        return r3866117;
}

↓

double f(double x, double y) {
        double r3866118 = y;
        double r3866119 = x;
        double r3866120 = r3866118 * r3866119;
        double r3866121 = 2.0;
        double r3866122 = r3866120 / r3866121;
        return r3866122;
}

Error

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

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Out

Enter valid numbers for all inputs

Derivation

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

Reproduce

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