(sin (- x 3.14))

Average Error: 30.4 → 30.4

Time: 1.2s

Precision: binary64

Math

\[\sin \left(x - 3.14000000000000012\right)\]

↓

\[\sin \left(x - 3.14000000000000012\right)\]

C

double code(double x) {
	return ((double) sin(((double) (x - 3.14))));
}

↓

double code(double x) {
	return ((double) sin(((double) (x - 3.14))));
}

Error

Bits error versus x

Derivation

1. Initial program 30.4

   \[\sin \left(x - 3.14000000000000012\right)\]

2. Final simplification 30.4

   \[\leadsto \sin \left(x - 3.14000000000000012\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sin (- x 3.14))"
  :precision binary64
  (sin (- x 3.14)))