(/ (* (asin (- z)) 180) PI)

Average Error: 0.3 → 0.3

Time: 855.0ms

Precision: binary64

Math

\[\frac{\sin^{-1} \left(-z\right) \cdot 180}{\pi}\]

↓

\[\frac{\sin^{-1} \left(-z\right) \cdot 180}{\pi}\]

Error

Bits error versus z

Derivation

1. Initial program 0.3

   \[\frac{\sin^{-1} \left(-z\right) \cdot 180}{\pi}\]

2. Final simplification 0.3

   \[\leadsto \frac{\sin^{-1} \left(-z\right) \cdot 180}{\pi}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (z)
  :name "(/ (* (asin (- z)) 180) PI)"
  :precision binary64
  (/ (* (asin (neg z)) 180.0) PI))