(/ (- 1) (tan (/ (* x pi) 360)))

Average Error: 33.3 → 33.3

Time: 2.0s

Precision: binary64

Math

\[\frac{-1}{\tan \left(\frac{x \cdot pi}{360}\right)}\]

↓

\[\frac{-1}{\tan \left(\frac{x \cdot pi}{360}\right)}\]

Error

Bits error versus x

Bits error versus pi

Derivation

1. Initial program 33.3

   \[\frac{-1}{\tan \left(\frac{x \cdot pi}{360}\right)}\]

2. Final simplification 33.3

   \[\leadsto \frac{-1}{\tan \left(\frac{x \cdot pi}{360}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x pi)
  :name "(/ (- 1) (tan (/ (* x pi) 360)))"
  :precision binary64
  (/ (neg 1.0) (tan (/ (* x pi) 360.0))))