Average Error: 0.0 → 0.0

Time: 25.4s

Precision: 64

Ground Truth: 128

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

⬇

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

Error

The X axis may use a short exponential scale — Bits error versus `re`

Derivation

Initial program 0.0
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
Using strategy rm
Applied distribute-lft-in 0.0
\[\leadsto \color{blue}{\left(0.5 \cdot \cos re\right) \cdot e^{-im} + \left(0.5 \cdot \cos re\right) \cdot e^{im}}\]
Applied simplify 0.0
\[\leadsto \color{blue}{\frac{0.5 \cdot \cos re}{e^{im}}} + \left(0.5 \cdot \cos re\right) \cdot e^{im}\]
Removed slow pow expressions

Runtime

Please include this information when filing a bug report:

herbie --seed '#(2173782792 3297191053 3809462725 882215698 4208561572 4127421056)'
(FPCore (re im)
  :name "math.cos on complex, real part"
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))