Main:bigenough1 from B

Average Error: 0.0 → 0

Time: 351.0ms

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[x + x \cdot x\]

↓

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

C

double f(double x) {
        double r106509 = x;
        double r106510 = r106509 * r106509;
        double r106511 = r106509 + r106510;
        return r106511;
}

↓

double f(double x) {
        double r106512 = x;
        double r106513 = fma(r106512, r106512, r106512);
        return r106513;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Main:bigenough1 from B"
  :precision binary64
  (+ x (* x x)))