math.cos on complex, real part

Average Error: 0.0 → 0.1

Time: 3.9s

Precision: binary64

Math

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↓

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Error

Bits error versus re

Bits error versus im

Derivation

1. Initial program 0.0

   \[\]
2. Using strategy rm

3. Applied flip3-+ 0.1

   \[\leadsto \]

4. Simplified 0.1

   \[\leadsto \]

5. Simplified 0.1

   \[\leadsto \]

6. Final simplification 0.1

   \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (re im)
  :name "math.cos on complex, real part"
  :precision binary64
  (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))