Average Error: 0.0 → 0.0
Time: 6.0s
Precision: 64
Internal Precision: 320
\[e^{re} \cdot \sin im\]
↓
\[\left(\sqrt{e^{re}} \cdot \sqrt{e^{re}}\right) \cdot \sin im\]

Error

Bits error versus re

Bits error versus im

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \sin im\]

  2. Initial simplification0.0

    \[\leadsto \sin im \cdot e^{re}\]
  3. Using strategy rm

  4. Applied add-sqr-sqrt0.0

    \[\leadsto \sin im \cdot \color{blue}{\left(\sqrt{e^{re}} \cdot \sqrt{e^{re}}\right)}\]

  5. Applied associate-*r*0.0

    \[\leadsto \color{blue}{\left(\sin im \cdot \sqrt{e^{re}}\right) \cdot \sqrt{e^{re}}}\]
  6. Using strategy rm

  7. Applied associate-*l*0.0

    \[\leadsto \color{blue}{\sin im \cdot \left(\sqrt{e^{re}} \cdot \sqrt{e^{re}}\right)}\]

  8. Final simplification0.0

    \[\leadsto \left(\sqrt{e^{re}} \cdot \sqrt{e^{re}}\right) \cdot \sin im\]

Runtime

Time bar (total: 6.0s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.00.00.00.00%
herbie shell --seed 2018295 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))