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 r4910595 = x;
        double r4910596 = r4910595 * r4910595;
        double r4910597 = r4910595 + r4910596;
        return r4910597;
}

↓

double f(double x) {
        double r4910598 = x;
        double r4910599 = fma(r4910598, r4910598, r4910598);
        return r4910599;
}

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 2019162 +o rules:numerics
(FPCore (x)
  :name "Main:bigenough1 from B"
  (+ x (* x x)))