Main:bigenough1 from B

Average Error: 0.0 → 0

Time: 334.0ms

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 r21680 = x;
        double r21681 = r21680 * r21680;
        double r21682 = r21680 + r21681;
        return r21682;
}

↓

double f(double x) {
        double r21683 = x;
        double r21684 = fma(r21683, r21683, r21683);
        return r21684;
}

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 2020045 +o rules:numerics
(FPCore (x)
  :name "Main:bigenough1 from B"
  :precision binary64
  (+ x (* x x)))