Main:bigenough1 from B

Average Error: 0.0 → 0

Time: 2.1m

Precision: 64

Math

\[x + x \cdot x\]

↓

\[\mathsf{fma}\left(x, x, x\right)\]

C

double f(double x) {
        double r5087462 = x;
        double r5087463 = r5087462 * r5087462;
        double r5087464 = r5087462 + r5087463;
        return r5087464;
}

↓

double f(double x) {
        double r5087465 = x;
        double r5087466 = fma(r5087465, r5087465, r5087465);
        return r5087466;
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[x + x \cdot x\]

2. Simplified 0

   \[\leadsto \color{blue}{\mathsf{fma}\left(x, x, x\right)}\]

3. Final simplification 0

   \[\leadsto \mathsf{fma}\left(x, x, x\right)\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x)
  :name "Main:bigenough1 from B"
  (+ x (* x x)))