Average Error: 0.0 → 0.0

Time: 27.5s

Precision: 64

Internal Precision: 128

\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]

↓

\[\sin re \cdot \frac{0.5}{e^{im}} + \left(e^{im} \cdot 0.5\right) \cdot \sin re\]

Error

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Initial program 0.0
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
Initial simplification0.0
\[\leadsto \sin re \cdot \left(0.5 \cdot e^{im} + \frac{0.5}{e^{im}}\right)\]
Using strategy rm
Applied distribute-lft-in0.0
\[\leadsto \color{blue}{\sin re \cdot \left(0.5 \cdot e^{im}\right) + \sin re \cdot \frac{0.5}{e^{im}}}\]
Final simplification0.0
\[\leadsto \sin re \cdot \frac{0.5}{e^{im}} + \left(e^{im} \cdot 0.5\right) \cdot \sin re\]

herbie shell --seed 2018346 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))