(+ x (* y 5))

Average Error: 0.1 → 0.1

Time: 551.0ms

Precision: binary64

Math

\[x + y \cdot 5\]

↓

\[x + y \cdot 5\]

C

double code(double x, double y) {
	return ((double) (x + ((double) (y * 5.0))));
}

↓

double code(double x, double y) {
	return ((double) (x + ((double) (y * 5.0))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x + y \cdot 5\]

2. Final simplification 0.1

   \[\leadsto x + y \cdot 5\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ x (* y 5))"
  :precision binary64
  (+ x (* y 5.0)))