Average Error: 0 → 0
Time: 1.2s
Precision: 64
Internal Precision: 576
\[\tan^{-1}_* \frac{im}{re}\]
↓
\[\tan^{-1}_* \frac{im}{re}\]

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

    \[\tan^{-1}_* \frac{im}{re}\]

  2. Initial simplification0

    \[\leadsto \tan^{-1}_* \frac{im}{re}\]

  3. Final simplification0

    \[\leadsto \tan^{-1}_* \frac{im}{re}\]

Runtime

Time bar (total: 1.2s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0000100%
herbie shell --seed 2018296 +o rules:numerics
(FPCore (re im)
  :name "math.log/1 on complex, imaginary part"
  (atan2 im re))