(+ a (* b t))

Average Error: 0.0 → 0.0

Time: 719.0ms

Precision: binary64

Math

\[a + b \cdot t\]

↓

\[a + b \cdot t\]

C

double code(double a, double b, double t) {
	return ((double) (a + ((double) (b * t))));
}

↓

double code(double a, double b, double t) {
	return ((double) (a + ((double) (b * t))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus t

Derivation

1. Initial program 0.0

   \[a + b \cdot t\]

2. Final simplification 0.0

   \[\leadsto a + b \cdot t\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b t)
  :name "(+ a (* b t))"
  :precision binary64
  (+ a (* b t)))