Average Error: 0.0 → 0.5
Time: 1.1s
Precision: binary64
\[\]
↓
\[\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

    \[\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.0

    \[\leadsto \]

  4. Applied add-sqr-sqrt0.5

    \[\leadsto \]

  5. Applied times-frac0.5

    \[\leadsto \]

  6. Simplified0.5

    \[\leadsto \]

  7. Final simplification0.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2.0 (+ (exp x) (exp (neg x)))))