Average Error: 0.0 → 0.0
Time: 25.1s
Precision: 64
Internal Precision: 384
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot e^{\log \left(e^{-im} + e^{im}\right)}\]

Error

Bits error versus re

Bits error versus im

Derivation

  1. Initial program 0.0

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
  2. Using strategy rm

  3. Applied add-exp-log0.0

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

  4. Applied simplify0.0

    \[\leadsto \left(0.5 \cdot \sin re\right) \cdot e^{\color{blue}{\log \left(e^{-im} + e^{im}\right)}}\]

Runtime

Time bar (total: 25.1s)Debug logProfile

herbie shell --seed '#(1070227846 1561819246 480764335 4016816270 2602869839 2117310382)' 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))