VandenBroeck and Keller, Equation (24)

Average Error: 0.2 → 0.2

Time: 6.0s

Precision: binary64

Math

\[\]

↓

\[\]

Error

Bits error versus B

Bits error versus x

Derivation

1. Initial program 0.2

   \[\]

2. Taylor expanded around inf 0.2

   \[\leadsto \]

3. Simplified 0.2

   \[\leadsto \]

4. Final simplification 0.2

   \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (B x)
  :name "VandenBroeck and Keller, Equation (24)"
  :precision binary64
  (+ (neg (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B))))