2-ancestry mixing, negative discriminant

Average Error: 1.0 → 0.0

Time: 3.6s

Precision: binary64

Math

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↓

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Error

Bits error versus g

Bits error versus h

Derivation

1. Initial program 1.0

   \[\]
2. Using strategy rm

3. Applied frac-add 1.0

   \[\leadsto \]

4. Simplified 1.0

   \[\leadsto \]
5. Using strategy rm

6. Applied add-log-exp 1.0

   \[\leadsto \]

7. Simplified 1.0

   \[\leadsto \]
8. Using strategy rm

9. Applied *-un-lft-identity 1.0

   \[\leadsto \]

10. Applied exp-prod 0.0

    \[\leadsto \]

11. Simplified 0.0

    \[\leadsto \]

12. Final simplification 0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (g h)
  :name "2-ancestry mixing, negative discriminant"
  :precision binary64
  (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))))