(- (tan x) (tan y))

Average Error: 0.1 → 0.1

Time: 2.2s

Precision: binary64

Math

\[\tan x - \tan y\]

↓

\[\tan x - \tan y\]

C

double code(double x, double y) {
	return ((double) (((double) tan(x)) - ((double) tan(y))));
}

↓

double code(double x, double y) {
	return ((double) (((double) tan(x)) - ((double) tan(y))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[\tan x - \tan y\]

2. Final simplification 0.1

   \[\leadsto \tan x - \tan y\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- (tan x) (tan y))"
  :precision binary64
  (- (tan x) (tan y)))