(- (cosh (+ x 1.0)) (cosh x))

Average Error: 1.0 → 1.0

Time: 2.6s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 2.7279434923395366e+116

Math

\[\cosh \left(x + 1\right) - \cosh x\]

↓

\[\cosh \left(x + 1\right) - \cosh x\]

C

double code(double x) {
	return ((double) (((double) cosh(((double) (x + 1.0)))) - ((double) cosh(x))));
}

↓

double code(double x) {
	return ((double) (((double) cosh(((double) (x + 1.0)))) - ((double) cosh(x))));
}

Error

Bits error versus x

Derivation

1. Initial program 1.0

   \[\cosh \left(x + 1\right) - \cosh x\]

2. Final simplification 1.0

   \[\leadsto \cosh \left(x + 1\right) - \cosh x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (cosh (+ x 1.0)) (cosh x))"
  :precision binary64
  (- (cosh (+ x 1.0)) (cosh x)))