0.768 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.127 * * * [progress]: [2/2] Setting up program.
0.138 * [progress]: [Phase 2 of 3] Improving.
0.141 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.142 * * [simplify]: iteration 0: 12 enodes
0.151 * * [simplify]: iteration 1: 19 enodes
0.155 * * [simplify]: iteration 2: 28 enodes
0.215 * * [simplify]: iteration 3: 36 enodes
0.229 * * [simplify]: iteration 4: 43 enodes
0.239 * * [simplify]: iteration 5: 45 enodes
0.250 * * [simplify]: iteration complete: 45 enodes
0.250 * * [simplify]: Extracting #0: cost 1 inf + 0
0.250 * * [simplify]: Extracting #1: cost 3 inf + 0
0.251 * * [simplify]: Extracting #2: cost 3 inf + 1
0.251 * * [simplify]: Extracting #3: cost 12 inf + 1
0.251 * * [simplify]: Extracting #4: cost 9 inf + 168
0.252 * * [simplify]: Extracting #5: cost 7 inf + 460
0.252 * * [simplify]: Extracting #6: cost 1 inf + 1189
0.253 * * [simplify]: Extracting #7: cost 0 inf + 1176
0.253 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
0.268 * * [progress]: iteration 1 / 4
0.268 * * * [progress]: picking best candidate
0.272 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
0.272 * * * [progress]: localizing error
0.289 * * * [progress]: generating rewritten candidates
0.289 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.297 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.305 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1)
0.308 * * * [progress]: generating series expansions
0.308 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.311 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
0.311 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
0.312 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.312 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.313 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.313 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.313 * [taylor]: Taking taylor expansion of (* re re) in im
0.313 * [taylor]: Taking taylor expansion of re in im
0.313 * [backup-simplify]: Simplify re into re
0.313 * [taylor]: Taking taylor expansion of re in im
0.313 * [backup-simplify]: Simplify re into re
0.313 * [taylor]: Taking taylor expansion of (* im im) in im
0.313 * [taylor]: Taking taylor expansion of im in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of im in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.324 * [backup-simplify]: Simplify (* 0 0) into 0
0.325 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.325 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.325 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.327 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.327 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.327 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.327 * [taylor]: Taking taylor expansion of (* re re) in re
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (* im im) in re
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.328 * [backup-simplify]: Simplify (* 0 0) into 0
0.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.328 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.329 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.329 * [taylor]: Taking taylor expansion of re in re
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.330 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.330 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.330 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.330 * [taylor]: Taking taylor expansion of (* re re) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of (* im im) in re
0.330 * [taylor]: Taking taylor expansion of im in re
0.330 * [backup-simplify]: Simplify im into im
0.330 * [taylor]: Taking taylor expansion of im in re
0.330 * [backup-simplify]: Simplify im into im
0.330 * [backup-simplify]: Simplify (* 0 0) into 0
0.330 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.331 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.331 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.331 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ im 0) into im
0.333 * [taylor]: Taking taylor expansion of im in im
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (- 1) into -1
0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.334 * [taylor]: Taking taylor expansion of -1 in im
0.334 * [backup-simplify]: Simplify -1 into -1
0.334 * [backup-simplify]: Simplify -1 into -1
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.336 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.337 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.338 * [taylor]: Taking taylor expansion of 1/2 in im
0.338 * [backup-simplify]: Simplify 1/2 into 1/2
0.338 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.338 * [taylor]: Taking taylor expansion of im in im
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (/ 1 1) into 1
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.344 * [backup-simplify]: Simplify (- 0) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in im
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.347 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.347 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.347 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.347 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.347 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.347 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.347 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.347 * [taylor]: Taking taylor expansion of re in im
0.347 * [backup-simplify]: Simplify re into re
0.347 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.347 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.347 * [taylor]: Taking taylor expansion of re in im
0.347 * [backup-simplify]: Simplify re into re
0.347 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.347 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.347 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.347 * [taylor]: Taking taylor expansion of im in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.348 * [taylor]: Taking taylor expansion of im in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (+ 0 1) into 1
0.349 * [backup-simplify]: Simplify (sqrt 1) into 1
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.353 * [taylor]: Taking taylor expansion of re in im
0.353 * [backup-simplify]: Simplify re into re
0.353 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.353 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.353 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.353 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.353 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.353 * [taylor]: Taking taylor expansion of re in re
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.354 * [taylor]: Taking taylor expansion of re in re
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.354 * [taylor]: Taking taylor expansion of im in re
0.354 * [backup-simplify]: Simplify im into im
0.354 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.354 * [taylor]: Taking taylor expansion of im in re
0.354 * [backup-simplify]: Simplify im into im
0.354 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.355 * [backup-simplify]: Simplify (* 1 1) into 1
0.355 * [backup-simplify]: Simplify (+ 1 0) into 1
0.355 * [backup-simplify]: Simplify (sqrt 1) into 1
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.359 * [taylor]: Taking taylor expansion of re in re
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.359 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.359 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.359 * [taylor]: Taking taylor expansion of re in re
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.359 * [taylor]: Taking taylor expansion of re in re
0.359 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.360 * [taylor]: Taking taylor expansion of im in re
0.360 * [backup-simplify]: Simplify im into im
0.360 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.360 * [taylor]: Taking taylor expansion of im in re
0.360 * [backup-simplify]: Simplify im into im
0.360 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.360 * [backup-simplify]: Simplify (+ 1 0) into 1
0.361 * [backup-simplify]: Simplify (sqrt 1) into 1
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [backup-simplify]: Simplify (- 1) into -1
0.364 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.364 * [taylor]: Taking taylor expansion of 0 in im
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [taylor]: Taking taylor expansion of 0 in im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.368 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.368 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.369 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (- 0) into 0
0.370 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.370 * [taylor]: Taking taylor expansion of 1/2 in im
0.370 * [backup-simplify]: Simplify 1/2 into 1/2
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.370 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.370 * [taylor]: Taking taylor expansion of im in im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (- 0) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [taylor]: Taking taylor expansion of 0 in im
0.376 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.379 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.379 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.379 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.379 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.379 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.379 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.379 * [taylor]: Taking taylor expansion of -1 in im
0.379 * [backup-simplify]: Simplify -1 into -1
0.379 * [taylor]: Taking taylor expansion of re in im
0.379 * [backup-simplify]: Simplify re into re
0.379 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.379 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.379 * [taylor]: Taking taylor expansion of -1 in im
0.379 * [backup-simplify]: Simplify -1 into -1
0.379 * [taylor]: Taking taylor expansion of re in im
0.379 * [backup-simplify]: Simplify re into re
0.379 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.379 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.379 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.379 * [taylor]: Taking taylor expansion of -1 in im
0.379 * [backup-simplify]: Simplify -1 into -1
0.379 * [taylor]: Taking taylor expansion of im in im
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (/ -1 1) into -1
0.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.380 * [taylor]: Taking taylor expansion of -1 in im
0.380 * [backup-simplify]: Simplify -1 into -1
0.380 * [taylor]: Taking taylor expansion of im in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (/ -1 1) into -1
0.381 * [backup-simplify]: Simplify (* -1 -1) into 1
0.381 * [backup-simplify]: Simplify (+ 0 1) into 1
0.381 * [backup-simplify]: Simplify (sqrt 1) into 1
0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.383 * [taylor]: Taking taylor expansion of re in im
0.383 * [backup-simplify]: Simplify re into re
0.384 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.384 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.384 * [taylor]: Taking taylor expansion of -1 in re
0.384 * [backup-simplify]: Simplify -1 into -1
0.384 * [taylor]: Taking taylor expansion of re in re
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (/ -1 1) into -1
0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.384 * [taylor]: Taking taylor expansion of -1 in re
0.384 * [backup-simplify]: Simplify -1 into -1
0.384 * [taylor]: Taking taylor expansion of re in re
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (/ -1 1) into -1
0.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.385 * [taylor]: Taking taylor expansion of -1 in re
0.385 * [backup-simplify]: Simplify -1 into -1
0.385 * [taylor]: Taking taylor expansion of im in re
0.385 * [backup-simplify]: Simplify im into im
0.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.385 * [taylor]: Taking taylor expansion of -1 in re
0.385 * [backup-simplify]: Simplify -1 into -1
0.385 * [taylor]: Taking taylor expansion of im in re
0.385 * [backup-simplify]: Simplify im into im
0.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.385 * [backup-simplify]: Simplify (* -1 -1) into 1
0.385 * [backup-simplify]: Simplify (+ 1 0) into 1
0.386 * [backup-simplify]: Simplify (sqrt 1) into 1
0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.388 * [taylor]: Taking taylor expansion of re in re
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.389 * [taylor]: Taking taylor expansion of -1 in re
0.389 * [backup-simplify]: Simplify -1 into -1
0.389 * [taylor]: Taking taylor expansion of re in re
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (/ -1 1) into -1
0.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.390 * [taylor]: Taking taylor expansion of -1 in re
0.390 * [backup-simplify]: Simplify -1 into -1
0.390 * [taylor]: Taking taylor expansion of re in re
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (/ -1 1) into -1
0.391 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.391 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.391 * [taylor]: Taking taylor expansion of -1 in re
0.391 * [backup-simplify]: Simplify -1 into -1
0.391 * [taylor]: Taking taylor expansion of im in re
0.391 * [backup-simplify]: Simplify im into im
0.391 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.391 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.391 * [taylor]: Taking taylor expansion of -1 in re
0.391 * [backup-simplify]: Simplify -1 into -1
0.391 * [taylor]: Taking taylor expansion of im in re
0.391 * [backup-simplify]: Simplify im into im
0.391 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.391 * [backup-simplify]: Simplify (* -1 -1) into 1
0.392 * [backup-simplify]: Simplify (+ 1 0) into 1
0.392 * [backup-simplify]: Simplify (sqrt 1) into 1
0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.396 * [taylor]: Taking taylor expansion of re in re
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.397 * [backup-simplify]: Simplify (+ 1 1) into 2
0.397 * [taylor]: Taking taylor expansion of 2 in im
0.397 * [backup-simplify]: Simplify 2 into 2
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in im
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 2 into 2
0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.401 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.404 * [taylor]: Taking taylor expansion of 1/2 in im
0.404 * [backup-simplify]: Simplify 1/2 into 1/2
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.411 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.411 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.411 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.414 * [taylor]: Taking taylor expansion of 0 in im
0.414 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.418 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.418 * [backup-simplify]: Simplify (sqrt (* (- (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot re im) re)))
0.418 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0
0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im
0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.418 * [taylor]: Taking taylor expansion of 2.0 in im
0.418 * [backup-simplify]: Simplify 2.0 into 2.0
0.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.419 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
0.419 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.419 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.420 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.420 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.420 * [taylor]: Taking taylor expansion of (* re re) in im
0.420 * [taylor]: Taking taylor expansion of re in im
0.420 * [backup-simplify]: Simplify re into re
0.420 * [taylor]: Taking taylor expansion of re in im
0.420 * [backup-simplify]: Simplify re into re
0.420 * [taylor]: Taking taylor expansion of (* im im) in im
0.420 * [taylor]: Taking taylor expansion of im in im
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [taylor]: Taking taylor expansion of im in im
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.420 * [backup-simplify]: Simplify (* 0 0) into 0
0.421 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.421 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.421 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.421 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.422 * [backup-simplify]: Simplify (+ 0 0) into 0
0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.422 * [taylor]: Taking taylor expansion of re in im
0.422 * [backup-simplify]: Simplify re into re
0.422 * [backup-simplify]: Simplify (- re) into (- re)
0.422 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.423 * [backup-simplify]: Simplify (- 0) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.425 * [backup-simplify]: Simplify (+ 0 1) into 1
0.426 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.426 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.426 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.427 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.429 * [backup-simplify]: Simplify (- 0) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.430 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.430 * [taylor]: Taking taylor expansion of 2.0 in re
0.430 * [backup-simplify]: Simplify 2.0 into 2.0
0.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.432 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
0.432 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.432 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.432 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.432 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.432 * [taylor]: Taking taylor expansion of (* re re) in re
0.432 * [taylor]: Taking taylor expansion of re in re
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [taylor]: Taking taylor expansion of re in re
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [taylor]: Taking taylor expansion of (* im im) in re
0.432 * [taylor]: Taking taylor expansion of im in re
0.432 * [backup-simplify]: Simplify im into im
0.432 * [taylor]: Taking taylor expansion of im in re
0.432 * [backup-simplify]: Simplify im into im
0.433 * [backup-simplify]: Simplify (* 0 0) into 0
0.433 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.433 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.433 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.434 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.434 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.434 * [taylor]: Taking taylor expansion of re in re
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (- 0) into 0
0.435 * [backup-simplify]: Simplify (+ im 0) into im
0.435 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.435 * [backup-simplify]: Simplify (- 1) into -1
0.436 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.436 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.436 * [taylor]: Taking taylor expansion of 2.0 in re
0.436 * [backup-simplify]: Simplify 2.0 into 2.0
0.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.437 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
0.437 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.437 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.438 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.438 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.438 * [taylor]: Taking taylor expansion of (* re re) in re
0.438 * [taylor]: Taking taylor expansion of re in re
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [taylor]: Taking taylor expansion of re in re
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.438 * [taylor]: Taking taylor expansion of (* im im) in re
0.438 * [taylor]: Taking taylor expansion of im in re
0.438 * [backup-simplify]: Simplify im into im
0.438 * [taylor]: Taking taylor expansion of im in re
0.438 * [backup-simplify]: Simplify im into im
0.438 * [backup-simplify]: Simplify (* 0 0) into 0
0.439 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.439 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.439 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.440 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.440 * [taylor]: Taking taylor expansion of re in re
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.441 * [backup-simplify]: Simplify (+ im 0) into im
0.441 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.441 * [backup-simplify]: Simplify (- 1) into -1
0.442 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.442 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.442 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.442 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.442 * [taylor]: Taking taylor expansion of 2.0 in im
0.442 * [backup-simplify]: Simplify 2.0 into 2.0
0.443 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.444 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.444 * [taylor]: Taking taylor expansion of im in im
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (sqrt 0) into 0
0.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.448 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.449 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.450 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.450 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.450 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.450 * [taylor]: Taking taylor expansion of 1/2 in im
0.450 * [backup-simplify]: Simplify 1/2 into 1/2
0.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.450 * [taylor]: Taking taylor expansion of 2.0 in im
0.450 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.452 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.452 * [taylor]: Taking taylor expansion of im in im
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (sqrt 0) into 0
0.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.467 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.469 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.470 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.475 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.478 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.479 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.487 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.494 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
0.494 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))
0.494 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
0.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.495 * [taylor]: Taking taylor expansion of 2.0 in im
0.495 * [backup-simplify]: Simplify 2.0 into 2.0
0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.496 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.496 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.496 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.496 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.496 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.496 * [taylor]: Taking taylor expansion of re in im
0.496 * [backup-simplify]: Simplify re into re
0.496 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.496 * [taylor]: Taking taylor expansion of re in im
0.496 * [backup-simplify]: Simplify re into re
0.497 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.497 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.497 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.497 * [taylor]: Taking taylor expansion of im in im
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.497 * [taylor]: Taking taylor expansion of im in im
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [backup-simplify]: Simplify (* 1 1) into 1
0.498 * [backup-simplify]: Simplify (+ 0 1) into 1
0.499 * [backup-simplify]: Simplify (sqrt 1) into 1
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.502 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.502 * [taylor]: Taking taylor expansion of re in im
0.502 * [backup-simplify]: Simplify re into re
0.502 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.503 * [backup-simplify]: Simplify (+ 1 0) into 1
0.503 * [backup-simplify]: Simplify (sqrt 0) into 0
0.504 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.505 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
0.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.505 * [taylor]: Taking taylor expansion of 2.0 in re
0.505 * [backup-simplify]: Simplify 2.0 into 2.0
0.505 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.506 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.506 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.506 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.506 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.506 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.507 * [taylor]: Taking taylor expansion of re in re
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.507 * [taylor]: Taking taylor expansion of im in re
0.507 * [backup-simplify]: Simplify im into im
0.507 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.507 * [taylor]: Taking taylor expansion of im in re
0.507 * [backup-simplify]: Simplify im into im
0.507 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (+ 1 0) into 1
0.509 * [backup-simplify]: Simplify (sqrt 1) into 1
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.512 * [taylor]: Taking taylor expansion of re in re
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (/ 1 1) into 1
0.513 * [backup-simplify]: Simplify (- 1) into -1
0.513 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.517 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.518 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.519 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (- 0) into 0
0.521 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.521 * [backup-simplify]: Simplify (sqrt 0) into 0
0.522 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.522 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
0.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.522 * [taylor]: Taking taylor expansion of 2.0 in re
0.522 * [backup-simplify]: Simplify 2.0 into 2.0
0.522 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.523 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.523 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.523 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.523 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.523 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.523 * [taylor]: Taking taylor expansion of re in re
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.524 * [taylor]: Taking taylor expansion of re in re
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.524 * [taylor]: Taking taylor expansion of im in re
0.524 * [backup-simplify]: Simplify im into im
0.524 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.524 * [taylor]: Taking taylor expansion of im in re
0.524 * [backup-simplify]: Simplify im into im
0.524 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (+ 1 0) into 1
0.526 * [backup-simplify]: Simplify (sqrt 1) into 1
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [backup-simplify]: Simplify (- 1) into -1
0.530 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.535 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.535 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- 0) into 0
0.538 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.539 * [backup-simplify]: Simplify (sqrt 0) into 0
0.539 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.540 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.540 * [taylor]: Taking taylor expansion of 0 in im
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.541 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.541 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.541 * [taylor]: Taking taylor expansion of +nan.0 in im
0.541 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.541 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.541 * [taylor]: Taking taylor expansion of 2.0 in im
0.541 * [backup-simplify]: Simplify 2.0 into 2.0
0.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.543 * [taylor]: Taking taylor expansion of im in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (* 1 1) into 1
0.545 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.555 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.558 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.558 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.558 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.558 * [taylor]: Taking taylor expansion of +nan.0 in im
0.558 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.558 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.558 * [taylor]: Taking taylor expansion of 2.0 in im
0.558 * [backup-simplify]: Simplify 2.0 into 2.0
0.558 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.559 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.559 * [taylor]: Taking taylor expansion of im in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.573 * [backup-simplify]: Simplify (- 0) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.576 * [backup-simplify]: Simplify (- 0) into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.579 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (- 0) into 0
0.581 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.582 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.584 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.584 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.584 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.584 * [taylor]: Taking taylor expansion of +nan.0 in im
0.584 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.584 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.584 * [taylor]: Taking taylor expansion of 2.0 in im
0.584 * [backup-simplify]: Simplify 2.0 into 2.0
0.584 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.585 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.585 * [taylor]: Taking taylor expansion of im in im
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.585 * [backup-simplify]: Simplify (* 1 1) into 1
0.585 * [backup-simplify]: Simplify (* 1 1) into 1
0.586 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.586 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.586 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.586 * [taylor]: Taking taylor expansion of +nan.0 in im
0.586 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.586 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.586 * [taylor]: Taking taylor expansion of 2.0 in im
0.586 * [backup-simplify]: Simplify 2.0 into 2.0
0.586 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.587 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.587 * [taylor]: Taking taylor expansion of im in im
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (* 1 1) into 1
0.587 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify (+ 0 0) into 0
0.625 * [backup-simplify]: Simplify (- 0) into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.625 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.625 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.625 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.625 * [taylor]: Taking taylor expansion of 2.0 in im
0.626 * [backup-simplify]: Simplify 2.0 into 2.0
0.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.627 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.627 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.627 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.627 * [taylor]: Taking taylor expansion of -1 in im
0.627 * [backup-simplify]: Simplify -1 into -1
0.627 * [taylor]: Taking taylor expansion of re in im
0.627 * [backup-simplify]: Simplify re into re
0.627 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.627 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.627 * [taylor]: Taking taylor expansion of -1 in im
0.627 * [backup-simplify]: Simplify -1 into -1
0.627 * [taylor]: Taking taylor expansion of re in im
0.627 * [backup-simplify]: Simplify re into re
0.628 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.628 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.628 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.628 * [taylor]: Taking taylor expansion of -1 in im
0.628 * [backup-simplify]: Simplify -1 into -1
0.628 * [taylor]: Taking taylor expansion of im in im
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 1 into 1
0.628 * [backup-simplify]: Simplify (/ -1 1) into -1
0.628 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.628 * [taylor]: Taking taylor expansion of -1 in im
0.628 * [backup-simplify]: Simplify -1 into -1
0.628 * [taylor]: Taking taylor expansion of im in im
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 1 into 1
0.629 * [backup-simplify]: Simplify (/ -1 1) into -1
0.629 * [backup-simplify]: Simplify (* -1 -1) into 1
0.630 * [backup-simplify]: Simplify (+ 0 1) into 1
0.630 * [backup-simplify]: Simplify (sqrt 1) into 1
0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.634 * [backup-simplify]: Simplify (+ 0 0) into 0
0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.635 * [taylor]: Taking taylor expansion of re in im
0.635 * [backup-simplify]: Simplify re into re
0.635 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.635 * [backup-simplify]: Simplify (+ 1 0) into 1
0.636 * [backup-simplify]: Simplify (sqrt 0) into 0
0.637 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.638 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.638 * [taylor]: Taking taylor expansion of 2.0 in re
0.638 * [backup-simplify]: Simplify 2.0 into 2.0
0.638 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.639 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.639 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.639 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.639 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.639 * [taylor]: Taking taylor expansion of -1 in re
0.639 * [backup-simplify]: Simplify -1 into -1
0.639 * [taylor]: Taking taylor expansion of re in re
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [backup-simplify]: Simplify (/ -1 1) into -1
0.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.639 * [taylor]: Taking taylor expansion of -1 in re
0.639 * [backup-simplify]: Simplify -1 into -1
0.639 * [taylor]: Taking taylor expansion of re in re
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.640 * [backup-simplify]: Simplify (/ -1 1) into -1
0.640 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.640 * [taylor]: Taking taylor expansion of -1 in re
0.640 * [backup-simplify]: Simplify -1 into -1
0.640 * [taylor]: Taking taylor expansion of im in re
0.640 * [backup-simplify]: Simplify im into im
0.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.640 * [taylor]: Taking taylor expansion of -1 in re
0.640 * [backup-simplify]: Simplify -1 into -1
0.640 * [taylor]: Taking taylor expansion of im in re
0.640 * [backup-simplify]: Simplify im into im
0.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.640 * [backup-simplify]: Simplify (* -1 -1) into 1
0.640 * [backup-simplify]: Simplify (+ 1 0) into 1
0.641 * [backup-simplify]: Simplify (sqrt 1) into 1
0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.642 * [backup-simplify]: Simplify (+ 0 0) into 0
0.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.643 * [taylor]: Taking taylor expansion of re in re
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (/ 1 1) into 1
0.643 * [backup-simplify]: Simplify (+ 1 1) into 2
0.643 * [backup-simplify]: Simplify (sqrt 0) into 0
0.644 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.644 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.644 * [taylor]: Taking taylor expansion of 2.0 in re
0.644 * [backup-simplify]: Simplify 2.0 into 2.0
0.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.645 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.645 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.645 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.645 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.645 * [taylor]: Taking taylor expansion of -1 in re
0.645 * [backup-simplify]: Simplify -1 into -1
0.645 * [taylor]: Taking taylor expansion of re in re
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.646 * [backup-simplify]: Simplify (/ -1 1) into -1
0.646 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.646 * [taylor]: Taking taylor expansion of -1 in re
0.646 * [backup-simplify]: Simplify -1 into -1
0.646 * [taylor]: Taking taylor expansion of re in re
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [backup-simplify]: Simplify (/ -1 1) into -1
0.646 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.646 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.646 * [taylor]: Taking taylor expansion of -1 in re
0.646 * [backup-simplify]: Simplify -1 into -1
0.646 * [taylor]: Taking taylor expansion of im in re
0.646 * [backup-simplify]: Simplify im into im
0.646 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.646 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.646 * [taylor]: Taking taylor expansion of -1 in re
0.646 * [backup-simplify]: Simplify -1 into -1
0.646 * [taylor]: Taking taylor expansion of im in re
0.646 * [backup-simplify]: Simplify im into im
0.646 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.647 * [backup-simplify]: Simplify (* -1 -1) into 1
0.647 * [backup-simplify]: Simplify (+ 1 0) into 1
0.647 * [backup-simplify]: Simplify (sqrt 1) into 1
0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.649 * [backup-simplify]: Simplify (+ 0 0) into 0
0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.649 * [taylor]: Taking taylor expansion of re in re
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (/ 1 1) into 1
0.650 * [backup-simplify]: Simplify (+ 1 1) into 2
0.650 * [backup-simplify]: Simplify (sqrt 0) into 0
0.651 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.651 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.651 * [taylor]: Taking taylor expansion of 0 in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.652 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.653 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.653 * [taylor]: Taking taylor expansion of +nan.0 in im
0.653 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.653 * [taylor]: Taking taylor expansion of 2.0 in im
0.653 * [backup-simplify]: Simplify 2.0 into 2.0
0.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.658 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.658 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.658 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.658 * [taylor]: Taking taylor expansion of +nan.0 in im
0.658 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.658 * [taylor]: Taking taylor expansion of 2.0 in im
0.658 * [backup-simplify]: Simplify 2.0 into 2.0
0.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.659 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.660 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.661 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.661 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.663 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.663 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.664 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.665 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.666 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.668 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.668 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.668 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.668 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.668 * [taylor]: Taking taylor expansion of +nan.0 in im
0.668 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.668 * [taylor]: Taking taylor expansion of 2.0 in im
0.668 * [backup-simplify]: Simplify 2.0 into 2.0
0.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.669 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.669 * [taylor]: Taking taylor expansion of +nan.0 in im
0.669 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.669 * [taylor]: Taking taylor expansion of 2.0 in im
0.669 * [backup-simplify]: Simplify 2.0 into 2.0
0.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.670 * [taylor]: Taking taylor expansion of im in im
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [backup-simplify]: Simplify (* 1 1) into 1
0.670 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.672 * [backup-simplify]: Simplify (- 0) into 0
0.672 * [backup-simplify]: Simplify (+ 0 0) into 0
0.673 * [backup-simplify]: Simplify (- 0) into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.674 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.675 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.676 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.676 * [backup-simplify]: Simplify (- 0) into 0
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.678 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.678 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.678 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.678 * [backup-simplify]: Simplify (+ 0 0) into 0
0.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.683 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.683 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.683 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.683 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.683 * [taylor]: Taking taylor expansion of +nan.0 in im
0.683 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.683 * [taylor]: Taking taylor expansion of 2.0 in im
0.683 * [backup-simplify]: Simplify 2.0 into 2.0
0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.684 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.684 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.684 * [taylor]: Taking taylor expansion of +nan.0 in im
0.684 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.684 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.684 * [taylor]: Taking taylor expansion of 2.0 in im
0.684 * [backup-simplify]: Simplify 2.0 into 2.0
0.684 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.684 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.684 * [taylor]: Taking taylor expansion of im in im
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (* 1 1) into 1
0.685 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.687 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.687 * [backup-simplify]: Simplify (- 0) into 0
0.688 * [backup-simplify]: Simplify (+ 0 0) into 0
0.688 * [backup-simplify]: Simplify (- 0) into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.691 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.691 * [backup-simplify]: Simplify (- 0) into 0
0.692 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.694 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.695 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.698 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.698 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1)
0.698 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.698 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.698 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.698 * [taylor]: Taking taylor expansion of (* re re) in im
0.698 * [taylor]: Taking taylor expansion of re in im
0.698 * [backup-simplify]: Simplify re into re
0.698 * [taylor]: Taking taylor expansion of re in im
0.698 * [backup-simplify]: Simplify re into re
0.698 * [taylor]: Taking taylor expansion of (* im im) in im
0.698 * [taylor]: Taking taylor expansion of im in im
0.698 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify 1 into 1
0.698 * [taylor]: Taking taylor expansion of im in im
0.698 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.699 * [backup-simplify]: Simplify (* 0 0) into 0
0.699 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.699 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.699 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.700 * [backup-simplify]: Simplify (+ 0 0) into 0
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.700 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.700 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.700 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.700 * [taylor]: Taking taylor expansion of (* re re) in re
0.700 * [taylor]: Taking taylor expansion of re in re
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [taylor]: Taking taylor expansion of re in re
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [taylor]: Taking taylor expansion of (* im im) in re
0.700 * [taylor]: Taking taylor expansion of im in re
0.700 * [backup-simplify]: Simplify im into im
0.700 * [taylor]: Taking taylor expansion of im in re
0.700 * [backup-simplify]: Simplify im into im
0.700 * [backup-simplify]: Simplify (* 0 0) into 0
0.700 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.701 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.701 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.701 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.701 * [backup-simplify]: Simplify (+ 0 0) into 0
0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.702 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.702 * [taylor]: Taking taylor expansion of (* re re) in re
0.702 * [taylor]: Taking taylor expansion of re in re
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [taylor]: Taking taylor expansion of re in re
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [taylor]: Taking taylor expansion of (* im im) in re
0.702 * [taylor]: Taking taylor expansion of im in re
0.702 * [backup-simplify]: Simplify im into im
0.702 * [taylor]: Taking taylor expansion of im in re
0.702 * [backup-simplify]: Simplify im into im
0.702 * [backup-simplify]: Simplify (* 0 0) into 0
0.702 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.702 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.702 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.703 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.703 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.703 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.703 * [taylor]: Taking taylor expansion of im in im
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [taylor]: Taking taylor expansion of 0 in im
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.704 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.704 * [backup-simplify]: Simplify (+ 1 0) into 1
0.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.707 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.707 * [taylor]: Taking taylor expansion of 1/2 in im
0.707 * [backup-simplify]: Simplify 1/2 into 1/2
0.707 * [taylor]: Taking taylor expansion of im in im
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify 1 into 1
0.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.709 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.709 * [taylor]: Taking taylor expansion of 0 in im
0.709 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.710 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.710 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.710 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.710 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.710 * [taylor]: Taking taylor expansion of re in im
0.710 * [backup-simplify]: Simplify re into re
0.710 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.711 * [taylor]: Taking taylor expansion of re in im
0.711 * [backup-simplify]: Simplify re into re
0.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.711 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.711 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.711 * [taylor]: Taking taylor expansion of im in im
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 1 into 1
0.711 * [backup-simplify]: Simplify (/ 1 1) into 1
0.711 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.711 * [taylor]: Taking taylor expansion of im in im
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 1 into 1
0.711 * [backup-simplify]: Simplify (/ 1 1) into 1
0.711 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (+ 0 1) into 1
0.712 * [backup-simplify]: Simplify (sqrt 1) into 1
0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (+ 0 0) into 0
0.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.714 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.714 * [taylor]: Taking taylor expansion of re in re
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 1 into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.715 * [taylor]: Taking taylor expansion of re in re
0.715 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify 1 into 1
0.715 * [backup-simplify]: Simplify (/ 1 1) into 1
0.715 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.715 * [taylor]: Taking taylor expansion of im in re
0.715 * [backup-simplify]: Simplify im into im
0.715 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.715 * [taylor]: Taking taylor expansion of im in re
0.715 * [backup-simplify]: Simplify im into im
0.715 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.715 * [backup-simplify]: Simplify (* 1 1) into 1
0.715 * [backup-simplify]: Simplify (+ 1 0) into 1
0.716 * [backup-simplify]: Simplify (sqrt 1) into 1
0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.717 * [backup-simplify]: Simplify (+ 0 0) into 0
0.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.718 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.718 * [taylor]: Taking taylor expansion of re in re
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 1 into 1
0.718 * [backup-simplify]: Simplify (/ 1 1) into 1
0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.718 * [taylor]: Taking taylor expansion of re in re
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 1 into 1
0.719 * [backup-simplify]: Simplify (/ 1 1) into 1
0.719 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.719 * [taylor]: Taking taylor expansion of im in re
0.719 * [backup-simplify]: Simplify im into im
0.719 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.719 * [taylor]: Taking taylor expansion of im in re
0.719 * [backup-simplify]: Simplify im into im
0.719 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.719 * [backup-simplify]: Simplify (* 1 1) into 1
0.719 * [backup-simplify]: Simplify (+ 1 0) into 1
0.719 * [backup-simplify]: Simplify (sqrt 1) into 1
0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.721 * [backup-simplify]: Simplify (+ 0 0) into 0
0.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.722 * [taylor]: Taking taylor expansion of 1 in im
0.722 * [backup-simplify]: Simplify 1 into 1
0.722 * [taylor]: Taking taylor expansion of 0 in im
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 1 into 1
0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.724 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.724 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.726 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.726 * [taylor]: Taking taylor expansion of 1/2 in im
0.726 * [backup-simplify]: Simplify 1/2 into 1/2
0.726 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.726 * [taylor]: Taking taylor expansion of im in im
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 1 into 1
0.726 * [backup-simplify]: Simplify (* 1 1) into 1
0.727 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.728 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.732 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.733 * [backup-simplify]: Simplify (+ 0 0) into 0
0.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.734 * [taylor]: Taking taylor expansion of 0 in im
0.734 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.736 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.736 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.736 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.737 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.737 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.737 * [taylor]: Taking taylor expansion of -1 in im
0.737 * [backup-simplify]: Simplify -1 into -1
0.737 * [taylor]: Taking taylor expansion of re in im
0.737 * [backup-simplify]: Simplify re into re
0.737 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.737 * [taylor]: Taking taylor expansion of -1 in im
0.737 * [backup-simplify]: Simplify -1 into -1
0.737 * [taylor]: Taking taylor expansion of re in im
0.737 * [backup-simplify]: Simplify re into re
0.737 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.737 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.737 * [taylor]: Taking taylor expansion of -1 in im
0.737 * [backup-simplify]: Simplify -1 into -1
0.737 * [taylor]: Taking taylor expansion of im in im
0.737 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify 1 into 1
0.738 * [backup-simplify]: Simplify (/ -1 1) into -1
0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.738 * [taylor]: Taking taylor expansion of -1 in im
0.738 * [backup-simplify]: Simplify -1 into -1
0.738 * [taylor]: Taking taylor expansion of im in im
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (/ -1 1) into -1
0.739 * [backup-simplify]: Simplify (* -1 -1) into 1
0.740 * [backup-simplify]: Simplify (+ 0 1) into 1
0.740 * [backup-simplify]: Simplify (sqrt 1) into 1
0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.743 * [backup-simplify]: Simplify (+ 0 0) into 0
0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.744 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.744 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.744 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.744 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.744 * [taylor]: Taking taylor expansion of -1 in re
0.744 * [backup-simplify]: Simplify -1 into -1
0.745 * [taylor]: Taking taylor expansion of re in re
0.745 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify 1 into 1
0.745 * [backup-simplify]: Simplify (/ -1 1) into -1
0.745 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.745 * [taylor]: Taking taylor expansion of -1 in re
0.745 * [backup-simplify]: Simplify -1 into -1
0.745 * [taylor]: Taking taylor expansion of re in re
0.745 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify 1 into 1
0.746 * [backup-simplify]: Simplify (/ -1 1) into -1
0.746 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.746 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.746 * [taylor]: Taking taylor expansion of -1 in re
0.746 * [backup-simplify]: Simplify -1 into -1
0.746 * [taylor]: Taking taylor expansion of im in re
0.746 * [backup-simplify]: Simplify im into im
0.746 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.746 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.746 * [taylor]: Taking taylor expansion of -1 in re
0.746 * [backup-simplify]: Simplify -1 into -1
0.746 * [taylor]: Taking taylor expansion of im in re
0.746 * [backup-simplify]: Simplify im into im
0.746 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.747 * [backup-simplify]: Simplify (* -1 -1) into 1
0.747 * [backup-simplify]: Simplify (+ 1 0) into 1
0.748 * [backup-simplify]: Simplify (sqrt 1) into 1
0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.749 * [backup-simplify]: Simplify (+ 0 0) into 0
0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.750 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.750 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.750 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.750 * [taylor]: Taking taylor expansion of -1 in re
0.750 * [backup-simplify]: Simplify -1 into -1
0.750 * [taylor]: Taking taylor expansion of re in re
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 1 into 1
0.750 * [backup-simplify]: Simplify (/ -1 1) into -1
0.750 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.750 * [taylor]: Taking taylor expansion of -1 in re
0.750 * [backup-simplify]: Simplify -1 into -1
0.750 * [taylor]: Taking taylor expansion of re in re
0.750 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify 1 into 1
0.751 * [backup-simplify]: Simplify (/ -1 1) into -1
0.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.751 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.751 * [taylor]: Taking taylor expansion of -1 in re
0.751 * [backup-simplify]: Simplify -1 into -1
0.751 * [taylor]: Taking taylor expansion of im in re
0.751 * [backup-simplify]: Simplify im into im
0.751 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.751 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.751 * [taylor]: Taking taylor expansion of -1 in re
0.751 * [backup-simplify]: Simplify -1 into -1
0.751 * [taylor]: Taking taylor expansion of im in re
0.751 * [backup-simplify]: Simplify im into im
0.751 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.751 * [backup-simplify]: Simplify (* -1 -1) into 1
0.752 * [backup-simplify]: Simplify (+ 1 0) into 1
0.752 * [backup-simplify]: Simplify (sqrt 1) into 1
0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.754 * [backup-simplify]: Simplify (+ 0 0) into 0
0.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.754 * [taylor]: Taking taylor expansion of 1 in im
0.754 * [backup-simplify]: Simplify 1 into 1
0.754 * [taylor]: Taking taylor expansion of 0 in im
0.754 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify 1 into 1
0.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.756 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.757 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.757 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.757 * [taylor]: Taking taylor expansion of 1/2 in im
0.757 * [backup-simplify]: Simplify 1/2 into 1/2
0.757 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.757 * [taylor]: Taking taylor expansion of im in im
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (* 1 1) into 1
0.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.761 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.761 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.761 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.762 * [taylor]: Taking taylor expansion of 0 in im
0.762 * [backup-simplify]: Simplify 0 into 0
0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.763 * * * [progress]: simplifying candidates
0.764 * [simplify]: Simplifying:
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma 1 (hypot re im) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (/ (exp (hypot re im)) (exp re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (expm1 (sqrt (* (- (hypot re im) re) 2.0)))
  (log1p (sqrt (* (- (hypot re im) re) 2.0)))
  (log (sqrt (* (- (hypot re im) re) 2.0)))
  (exp (sqrt (* (- (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (- (hypot re im) re) 2.0)))
  (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0)))
  (sqrt (- (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))
  (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0))
  (sqrt (+ (hypot re im) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  im
  re
  (* -1 re)
0.765 * * [simplify]: iteration 0: 115 enodes
0.788 * * [simplify]: iteration 1: 245 enodes
0.877 * * [simplify]: iteration 2: 770 enodes
1.614 * * [simplify]: iteration 3: 4021 enodes
2.736 * * [simplify]: iteration complete: 5000 enodes
2.736 * * [simplify]: Extracting #0: cost 48 inf + 0
2.739 * * [simplify]: Extracting #1: cost 519 inf + 87
2.754 * * [simplify]: Extracting #2: cost 977 inf + 22914
2.807 * * [simplify]: Extracting #3: cost 279 inf + 109629
2.902 * * [simplify]: Extracting #4: cost 31 inf + 156437
2.998 * * [simplify]: Extracting #5: cost 0 inf + 165018
3.067 * * [simplify]: Extracting #6: cost 0 inf + 164988
3.160 * [simplify]: Simplified to:
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (- re re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (- re re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))
  (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))
  (- re)
  (* (+ re (hypot re im)) (- (hypot re im) re))
  (+ (hypot re im) re)
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (expm1 (sqrt (* (- (hypot re im) re) 2.0)))
  (log1p (sqrt (* (- (hypot re im) re) 2.0)))
  (log (sqrt (* (- (hypot re im) re) 2.0)))
  (exp (sqrt (* (- (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (- (hypot re im) re) 2.0)))
  (* (sqrt (* (- (hypot re im) re) 2.0)) (* (- (hypot re im) re) 2.0))
  (sqrt (- (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re)) 2.0))
  (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im))))
  (sqrt (* (+ re (hypot re im)) (* (- (hypot re im) re) 2.0)))
  (sqrt (+ (hypot re im) re))
  1/2
  1/2
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- im re)
  0
  (* re -2)
  (fma im (* +nan.0 (* (sqrt 2.0) im)) (- (fma (* +nan.0 (* (sqrt 2.0) im)) re (* +nan.0 (* (sqrt 2.0) im)))))
  0
  (- (- (/ (* (sqrt 2.0) +nan.0) re) (/ (* (sqrt 2.0) +nan.0) (* re re))) (* (sqrt 2.0) +nan.0))
  im
  re
  (- re)
3.167 * * * [progress]: adding candidates to table
3.512 * * [progress]: iteration 2 / 4
3.513 * * * [progress]: picking best candidate
3.568 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))>
3.568 * * * [progress]: localizing error
3.613 * * * [progress]: generating rewritten candidates
3.613 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
3.635 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
3.663 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
3.693 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1)
3.698 * * * [progress]: generating series expansions
3.698 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
3.698 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
3.699 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.699 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.699 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.699 * [taylor]: Taking taylor expansion of (* re re) in im
3.699 * [taylor]: Taking taylor expansion of re in im
3.699 * [backup-simplify]: Simplify re into re
3.699 * [taylor]: Taking taylor expansion of re in im
3.699 * [backup-simplify]: Simplify re into re
3.699 * [taylor]: Taking taylor expansion of (* im im) in im
3.699 * [taylor]: Taking taylor expansion of im in im
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [taylor]: Taking taylor expansion of im in im
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.700 * [backup-simplify]: Simplify (* 0 0) into 0
3.700 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.700 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.701 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.701 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.702 * [backup-simplify]: Simplify (+ 0 0) into 0
3.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.702 * [taylor]: Taking taylor expansion of re in im
3.702 * [backup-simplify]: Simplify re into re
3.702 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.702 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.702 * [taylor]: Taking taylor expansion of (* re re) in re
3.702 * [taylor]: Taking taylor expansion of re in re
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 1 into 1
3.703 * [taylor]: Taking taylor expansion of re in re
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 1 into 1
3.703 * [taylor]: Taking taylor expansion of (* im im) in re
3.703 * [taylor]: Taking taylor expansion of im in re
3.703 * [backup-simplify]: Simplify im into im
3.703 * [taylor]: Taking taylor expansion of im in re
3.703 * [backup-simplify]: Simplify im into im
3.703 * [backup-simplify]: Simplify (* 0 0) into 0
3.703 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.703 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.704 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.705 * [backup-simplify]: Simplify (+ 0 0) into 0
3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.705 * [taylor]: Taking taylor expansion of re in re
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.705 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.706 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.706 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.706 * [taylor]: Taking taylor expansion of (* re re) in re
3.706 * [taylor]: Taking taylor expansion of re in re
3.706 * [backup-simplify]: Simplify 0 into 0
3.706 * [backup-simplify]: Simplify 1 into 1
3.706 * [taylor]: Taking taylor expansion of re in re
3.706 * [backup-simplify]: Simplify 0 into 0
3.706 * [backup-simplify]: Simplify 1 into 1
3.706 * [taylor]: Taking taylor expansion of (* im im) in re
3.706 * [taylor]: Taking taylor expansion of im in re
3.706 * [backup-simplify]: Simplify im into im
3.706 * [taylor]: Taking taylor expansion of im in re
3.706 * [backup-simplify]: Simplify im into im
3.706 * [backup-simplify]: Simplify (* 0 0) into 0
3.706 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.707 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.708 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.708 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.708 * [taylor]: Taking taylor expansion of re in re
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 1 into 1
3.709 * [backup-simplify]: Simplify (- 0) into 0
3.709 * [backup-simplify]: Simplify (+ im 0) into im
3.709 * [taylor]: Taking taylor expansion of im in im
3.709 * [backup-simplify]: Simplify 0 into 0
3.709 * [backup-simplify]: Simplify 1 into 1
3.709 * [backup-simplify]: Simplify 0 into 0
3.709 * [backup-simplify]: Simplify (- 1) into -1
3.710 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.710 * [taylor]: Taking taylor expansion of -1 in im
3.710 * [backup-simplify]: Simplify -1 into -1
3.710 * [backup-simplify]: Simplify -1 into -1
3.710 * [backup-simplify]: Simplify 1 into 1
3.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.711 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.711 * [backup-simplify]: Simplify (+ 1 0) into 1
3.712 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.712 * [backup-simplify]: Simplify (- 0) into 0
3.712 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.712 * [taylor]: Taking taylor expansion of 1/2 in im
3.712 * [backup-simplify]: Simplify 1/2 into 1/2
3.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.712 * [taylor]: Taking taylor expansion of im in im
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 1 into 1
3.712 * [backup-simplify]: Simplify (/ 1 1) into 1
3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.713 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.715 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.715 * [backup-simplify]: Simplify (+ 0 0) into 0
3.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.715 * [backup-simplify]: Simplify (- 0) into 0
3.716 * [backup-simplify]: Simplify (+ 0 0) into 0
3.716 * [taylor]: Taking taylor expansion of 0 in im
3.716 * [backup-simplify]: Simplify 0 into 0
3.716 * [backup-simplify]: Simplify 0 into 0
3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.717 * [backup-simplify]: Simplify 0 into 0
3.717 * [backup-simplify]: Simplify 0 into 0
3.717 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.717 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.717 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.717 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.717 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.717 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.717 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.717 * [taylor]: Taking taylor expansion of re in im
3.717 * [backup-simplify]: Simplify re into re
3.717 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.717 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.717 * [taylor]: Taking taylor expansion of re in im
3.717 * [backup-simplify]: Simplify re into re
3.718 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.718 * [taylor]: Taking taylor expansion of im in im
3.718 * [backup-simplify]: Simplify 0 into 0
3.718 * [backup-simplify]: Simplify 1 into 1
3.718 * [backup-simplify]: Simplify (/ 1 1) into 1
3.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.718 * [taylor]: Taking taylor expansion of im in im
3.718 * [backup-simplify]: Simplify 0 into 0
3.718 * [backup-simplify]: Simplify 1 into 1
3.718 * [backup-simplify]: Simplify (/ 1 1) into 1
3.718 * [backup-simplify]: Simplify (* 1 1) into 1
3.719 * [backup-simplify]: Simplify (+ 0 1) into 1
3.719 * [backup-simplify]: Simplify (sqrt 1) into 1
3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.720 * [backup-simplify]: Simplify (+ 0 0) into 0
3.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.721 * [taylor]: Taking taylor expansion of re in im
3.721 * [backup-simplify]: Simplify re into re
3.721 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.721 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.721 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.721 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.721 * [taylor]: Taking taylor expansion of re in re
3.721 * [backup-simplify]: Simplify 0 into 0
3.721 * [backup-simplify]: Simplify 1 into 1
3.722 * [backup-simplify]: Simplify (/ 1 1) into 1
3.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.722 * [taylor]: Taking taylor expansion of re in re
3.722 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify 1 into 1
3.722 * [backup-simplify]: Simplify (/ 1 1) into 1
3.722 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.722 * [taylor]: Taking taylor expansion of im in re
3.722 * [backup-simplify]: Simplify im into im
3.722 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.722 * [taylor]: Taking taylor expansion of im in re
3.722 * [backup-simplify]: Simplify im into im
3.722 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.722 * [backup-simplify]: Simplify (* 1 1) into 1
3.723 * [backup-simplify]: Simplify (+ 1 0) into 1
3.723 * [backup-simplify]: Simplify (sqrt 1) into 1
3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.724 * [backup-simplify]: Simplify (+ 0 0) into 0
3.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.725 * [taylor]: Taking taylor expansion of re in re
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.725 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.725 * [taylor]: Taking taylor expansion of re in re
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.726 * [backup-simplify]: Simplify (/ 1 1) into 1
3.726 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.726 * [taylor]: Taking taylor expansion of re in re
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 1 into 1
3.726 * [backup-simplify]: Simplify (/ 1 1) into 1
3.726 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.726 * [taylor]: Taking taylor expansion of im in re
3.726 * [backup-simplify]: Simplify im into im
3.726 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.726 * [taylor]: Taking taylor expansion of im in re
3.726 * [backup-simplify]: Simplify im into im
3.726 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.726 * [backup-simplify]: Simplify (* 1 1) into 1
3.727 * [backup-simplify]: Simplify (+ 1 0) into 1
3.727 * [backup-simplify]: Simplify (sqrt 1) into 1
3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.728 * [backup-simplify]: Simplify (+ 0 0) into 0
3.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.729 * [taylor]: Taking taylor expansion of re in re
3.729 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify 1 into 1
3.729 * [backup-simplify]: Simplify (/ 1 1) into 1
3.729 * [backup-simplify]: Simplify (- 1) into -1
3.730 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.730 * [taylor]: Taking taylor expansion of 0 in im
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.730 * [backup-simplify]: Simplify (- 0) into 0
3.731 * [backup-simplify]: Simplify (+ 0 0) into 0
3.731 * [taylor]: Taking taylor expansion of 0 in im
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.732 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.733 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.733 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.734 * [backup-simplify]: Simplify (- 0) into 0
3.734 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.734 * [taylor]: Taking taylor expansion of 1/2 in im
3.734 * [backup-simplify]: Simplify 1/2 into 1/2
3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.734 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.734 * [taylor]: Taking taylor expansion of im in im
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify 1 into 1
3.735 * [backup-simplify]: Simplify (* 1 1) into 1
3.735 * [backup-simplify]: Simplify (/ 1 1) into 1
3.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.738 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.738 * [backup-simplify]: Simplify (+ 0 0) into 0
3.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.740 * [backup-simplify]: Simplify (- 0) into 0
3.740 * [backup-simplify]: Simplify (+ 0 0) into 0
3.740 * [taylor]: Taking taylor expansion of 0 in im
3.740 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.742 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.742 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.742 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.742 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.742 * [taylor]: Taking taylor expansion of -1 in im
3.742 * [backup-simplify]: Simplify -1 into -1
3.742 * [taylor]: Taking taylor expansion of re in im
3.742 * [backup-simplify]: Simplify re into re
3.742 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.742 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.742 * [taylor]: Taking taylor expansion of -1 in im
3.742 * [backup-simplify]: Simplify -1 into -1
3.742 * [taylor]: Taking taylor expansion of re in im
3.742 * [backup-simplify]: Simplify re into re
3.742 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.743 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.743 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.743 * [taylor]: Taking taylor expansion of -1 in im
3.743 * [backup-simplify]: Simplify -1 into -1
3.743 * [taylor]: Taking taylor expansion of im in im
3.743 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify 1 into 1
3.743 * [backup-simplify]: Simplify (/ -1 1) into -1
3.743 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.743 * [taylor]: Taking taylor expansion of -1 in im
3.743 * [backup-simplify]: Simplify -1 into -1
3.743 * [taylor]: Taking taylor expansion of im in im
3.743 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify 1 into 1
3.744 * [backup-simplify]: Simplify (/ -1 1) into -1
3.744 * [backup-simplify]: Simplify (* -1 -1) into 1
3.744 * [backup-simplify]: Simplify (+ 0 1) into 1
3.745 * [backup-simplify]: Simplify (sqrt 1) into 1
3.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.747 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.747 * [backup-simplify]: Simplify (+ 0 0) into 0
3.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.748 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.748 * [taylor]: Taking taylor expansion of re in im
3.748 * [backup-simplify]: Simplify re into re
3.748 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.748 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.748 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.749 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.749 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.749 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.749 * [taylor]: Taking taylor expansion of -1 in re
3.749 * [backup-simplify]: Simplify -1 into -1
3.749 * [taylor]: Taking taylor expansion of re in re
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.749 * [backup-simplify]: Simplify (/ -1 1) into -1
3.749 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.749 * [taylor]: Taking taylor expansion of -1 in re
3.749 * [backup-simplify]: Simplify -1 into -1
3.749 * [taylor]: Taking taylor expansion of re in re
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (/ -1 1) into -1
3.750 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.750 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.750 * [taylor]: Taking taylor expansion of -1 in re
3.750 * [backup-simplify]: Simplify -1 into -1
3.750 * [taylor]: Taking taylor expansion of im in re
3.750 * [backup-simplify]: Simplify im into im
3.750 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.750 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.750 * [taylor]: Taking taylor expansion of -1 in re
3.750 * [backup-simplify]: Simplify -1 into -1
3.750 * [taylor]: Taking taylor expansion of im in re
3.750 * [backup-simplify]: Simplify im into im
3.750 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.751 * [backup-simplify]: Simplify (* -1 -1) into 1
3.751 * [backup-simplify]: Simplify (+ 1 0) into 1
3.751 * [backup-simplify]: Simplify (sqrt 1) into 1
3.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.754 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.754 * [backup-simplify]: Simplify (+ 0 0) into 0
3.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.755 * [taylor]: Taking taylor expansion of re in re
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (/ 1 1) into 1
3.755 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.755 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.756 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.756 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.756 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.756 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.756 * [taylor]: Taking taylor expansion of -1 in re
3.756 * [backup-simplify]: Simplify -1 into -1
3.756 * [taylor]: Taking taylor expansion of re in re
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify 1 into 1
3.756 * [backup-simplify]: Simplify (/ -1 1) into -1
3.756 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.756 * [taylor]: Taking taylor expansion of -1 in re
3.756 * [backup-simplify]: Simplify -1 into -1
3.756 * [taylor]: Taking taylor expansion of re in re
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 1 into 1
3.757 * [backup-simplify]: Simplify (/ -1 1) into -1
3.757 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.757 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.757 * [taylor]: Taking taylor expansion of -1 in re
3.757 * [backup-simplify]: Simplify -1 into -1
3.757 * [taylor]: Taking taylor expansion of im in re
3.757 * [backup-simplify]: Simplify im into im
3.757 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.757 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.757 * [taylor]: Taking taylor expansion of -1 in re
3.757 * [backup-simplify]: Simplify -1 into -1
3.757 * [taylor]: Taking taylor expansion of im in re
3.757 * [backup-simplify]: Simplify im into im
3.757 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.758 * [backup-simplify]: Simplify (* -1 -1) into 1
3.758 * [backup-simplify]: Simplify (+ 1 0) into 1
3.759 * [backup-simplify]: Simplify (sqrt 1) into 1
3.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.761 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.762 * [backup-simplify]: Simplify (+ 0 0) into 0
3.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.762 * [taylor]: Taking taylor expansion of re in re
3.762 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 1 into 1
3.763 * [backup-simplify]: Simplify (/ 1 1) into 1
3.764 * [backup-simplify]: Simplify (+ 1 1) into 2
3.764 * [taylor]: Taking taylor expansion of 2 in im
3.764 * [backup-simplify]: Simplify 2 into 2
3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.765 * [backup-simplify]: Simplify (+ 0 0) into 0
3.765 * [taylor]: Taking taylor expansion of 0 in im
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 2 into 2
3.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.769 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.769 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.772 * [taylor]: Taking taylor expansion of 1/2 in im
3.772 * [backup-simplify]: Simplify 1/2 into 1/2
3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.772 * [taylor]: Taking taylor expansion of im in im
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 1 into 1
3.772 * [backup-simplify]: Simplify (* 1 1) into 1
3.773 * [backup-simplify]: Simplify (/ 1 1) into 1
3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.781 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.781 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.782 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.784 * [taylor]: Taking taylor expansion of 0 in im
3.784 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.788 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
3.788 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
3.788 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
3.788 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.788 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.789 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.789 * [taylor]: Taking taylor expansion of (* re re) in im
3.789 * [taylor]: Taking taylor expansion of re in im
3.789 * [backup-simplify]: Simplify re into re
3.789 * [taylor]: Taking taylor expansion of re in im
3.789 * [backup-simplify]: Simplify re into re
3.789 * [taylor]: Taking taylor expansion of (* im im) in im
3.789 * [taylor]: Taking taylor expansion of im in im
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 1 into 1
3.789 * [taylor]: Taking taylor expansion of im in im
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 1 into 1
3.789 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.789 * [backup-simplify]: Simplify (* 0 0) into 0
3.789 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.790 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.790 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.790 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.791 * [backup-simplify]: Simplify (+ 0 0) into 0
3.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.791 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.791 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.791 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.791 * [taylor]: Taking taylor expansion of (* re re) in re
3.791 * [taylor]: Taking taylor expansion of re in re
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 1 into 1
3.791 * [taylor]: Taking taylor expansion of re in re
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 1 into 1
3.791 * [taylor]: Taking taylor expansion of (* im im) in re
3.791 * [taylor]: Taking taylor expansion of im in re
3.791 * [backup-simplify]: Simplify im into im
3.791 * [taylor]: Taking taylor expansion of im in re
3.791 * [backup-simplify]: Simplify im into im
3.792 * [backup-simplify]: Simplify (* 0 0) into 0
3.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.792 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.792 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.793 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.793 * [backup-simplify]: Simplify (+ 0 0) into 0
3.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.793 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.793 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.793 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.794 * [taylor]: Taking taylor expansion of (* re re) in re
3.794 * [taylor]: Taking taylor expansion of re in re
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify 1 into 1
3.794 * [taylor]: Taking taylor expansion of re in re
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify 1 into 1
3.794 * [taylor]: Taking taylor expansion of (* im im) in re
3.794 * [taylor]: Taking taylor expansion of im in re
3.794 * [backup-simplify]: Simplify im into im
3.794 * [taylor]: Taking taylor expansion of im in re
3.794 * [backup-simplify]: Simplify im into im
3.794 * [backup-simplify]: Simplify (* 0 0) into 0
3.794 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.794 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.794 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.795 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.796 * [backup-simplify]: Simplify (+ 0 0) into 0
3.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.796 * [taylor]: Taking taylor expansion of im in im
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [taylor]: Taking taylor expansion of 0 in im
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.798 * [backup-simplify]: Simplify (+ 1 0) into 1
3.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.798 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.798 * [taylor]: Taking taylor expansion of 1/2 in im
3.799 * [backup-simplify]: Simplify 1/2 into 1/2
3.799 * [taylor]: Taking taylor expansion of im in im
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 1 into 1
3.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.802 * [backup-simplify]: Simplify (+ 0 0) into 0
3.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.802 * [taylor]: Taking taylor expansion of 0 in im
3.802 * [backup-simplify]: Simplify 0 into 0
3.802 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.803 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
3.803 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
3.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.804 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.804 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.804 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.804 * [taylor]: Taking taylor expansion of re in im
3.804 * [backup-simplify]: Simplify re into re
3.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.804 * [taylor]: Taking taylor expansion of re in im
3.804 * [backup-simplify]: Simplify re into re
3.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.804 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.804 * [taylor]: Taking taylor expansion of im in im
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (/ 1 1) into 1
3.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.804 * [taylor]: Taking taylor expansion of im in im
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (/ 1 1) into 1
3.805 * [backup-simplify]: Simplify (* 1 1) into 1
3.805 * [backup-simplify]: Simplify (+ 0 1) into 1
3.805 * [backup-simplify]: Simplify (sqrt 1) into 1
3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.807 * [backup-simplify]: Simplify (+ 0 0) into 0
3.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.807 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.807 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.807 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.807 * [taylor]: Taking taylor expansion of re in re
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (/ 1 1) into 1
3.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.808 * [taylor]: Taking taylor expansion of re in re
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (/ 1 1) into 1
3.808 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.808 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.808 * [taylor]: Taking taylor expansion of im in re
3.808 * [backup-simplify]: Simplify im into im
3.808 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.808 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.808 * [taylor]: Taking taylor expansion of im in re
3.808 * [backup-simplify]: Simplify im into im
3.808 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.809 * [backup-simplify]: Simplify (+ 1 0) into 1
3.809 * [backup-simplify]: Simplify (sqrt 1) into 1
3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.810 * [backup-simplify]: Simplify (+ 0 0) into 0
3.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.811 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.811 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.811 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.811 * [taylor]: Taking taylor expansion of re in re
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (/ 1 1) into 1
3.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.811 * [taylor]: Taking taylor expansion of re in re
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify 1 into 1
3.812 * [backup-simplify]: Simplify (/ 1 1) into 1
3.812 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.812 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.812 * [taylor]: Taking taylor expansion of im in re
3.812 * [backup-simplify]: Simplify im into im
3.812 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.812 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.812 * [taylor]: Taking taylor expansion of im in re
3.812 * [backup-simplify]: Simplify im into im
3.812 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.812 * [backup-simplify]: Simplify (* 1 1) into 1
3.812 * [backup-simplify]: Simplify (+ 1 0) into 1
3.813 * [backup-simplify]: Simplify (sqrt 1) into 1
3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.814 * [backup-simplify]: Simplify (+ 0 0) into 0
3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.815 * [taylor]: Taking taylor expansion of 1 in im
3.815 * [backup-simplify]: Simplify 1 into 1
3.815 * [taylor]: Taking taylor expansion of 0 in im
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.817 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.817 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.818 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.818 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.818 * [taylor]: Taking taylor expansion of 1/2 in im
3.818 * [backup-simplify]: Simplify 1/2 into 1/2
3.818 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.818 * [taylor]: Taking taylor expansion of im in im
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 1 into 1
3.818 * [backup-simplify]: Simplify (* 1 1) into 1
3.818 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.821 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.822 * [backup-simplify]: Simplify (+ 0 0) into 0
3.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.822 * [taylor]: Taking taylor expansion of 0 in im
3.822 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.824 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
3.824 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
3.824 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.824 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.824 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.824 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.824 * [taylor]: Taking taylor expansion of -1 in im
3.824 * [backup-simplify]: Simplify -1 into -1
3.824 * [taylor]: Taking taylor expansion of re in im
3.824 * [backup-simplify]: Simplify re into re
3.824 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.824 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.824 * [taylor]: Taking taylor expansion of -1 in im
3.824 * [backup-simplify]: Simplify -1 into -1
3.824 * [taylor]: Taking taylor expansion of re in im
3.824 * [backup-simplify]: Simplify re into re
3.824 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.824 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.824 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.824 * [taylor]: Taking taylor expansion of -1 in im
3.824 * [backup-simplify]: Simplify -1 into -1
3.824 * [taylor]: Taking taylor expansion of im in im
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (/ -1 1) into -1
3.824 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.824 * [taylor]: Taking taylor expansion of -1 in im
3.824 * [backup-simplify]: Simplify -1 into -1
3.824 * [taylor]: Taking taylor expansion of im in im
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.825 * [backup-simplify]: Simplify (/ -1 1) into -1
3.825 * [backup-simplify]: Simplify (* -1 -1) into 1
3.825 * [backup-simplify]: Simplify (+ 0 1) into 1
3.825 * [backup-simplify]: Simplify (sqrt 1) into 1
3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.827 * [backup-simplify]: Simplify (+ 0 0) into 0
3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.828 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.828 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.828 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.828 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.828 * [taylor]: Taking taylor expansion of -1 in re
3.828 * [backup-simplify]: Simplify -1 into -1
3.828 * [taylor]: Taking taylor expansion of re in re
3.828 * [backup-simplify]: Simplify 0 into 0
3.828 * [backup-simplify]: Simplify 1 into 1
3.828 * [backup-simplify]: Simplify (/ -1 1) into -1
3.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.828 * [taylor]: Taking taylor expansion of -1 in re
3.828 * [backup-simplify]: Simplify -1 into -1
3.828 * [taylor]: Taking taylor expansion of re in re
3.829 * [backup-simplify]: Simplify 0 into 0
3.829 * [backup-simplify]: Simplify 1 into 1
3.829 * [backup-simplify]: Simplify (/ -1 1) into -1
3.829 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.829 * [taylor]: Taking taylor expansion of -1 in re
3.829 * [backup-simplify]: Simplify -1 into -1
3.829 * [taylor]: Taking taylor expansion of im in re
3.829 * [backup-simplify]: Simplify im into im
3.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.829 * [taylor]: Taking taylor expansion of -1 in re
3.829 * [backup-simplify]: Simplify -1 into -1
3.829 * [taylor]: Taking taylor expansion of im in re
3.829 * [backup-simplify]: Simplify im into im
3.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.829 * [backup-simplify]: Simplify (* -1 -1) into 1
3.830 * [backup-simplify]: Simplify (+ 1 0) into 1
3.830 * [backup-simplify]: Simplify (sqrt 1) into 1
3.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.832 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.832 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.832 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.832 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.832 * [taylor]: Taking taylor expansion of -1 in re
3.832 * [backup-simplify]: Simplify -1 into -1
3.832 * [taylor]: Taking taylor expansion of re in re
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (/ -1 1) into -1
3.832 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.832 * [taylor]: Taking taylor expansion of -1 in re
3.832 * [backup-simplify]: Simplify -1 into -1
3.833 * [taylor]: Taking taylor expansion of re in re
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (/ -1 1) into -1
3.833 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.833 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.833 * [taylor]: Taking taylor expansion of -1 in re
3.833 * [backup-simplify]: Simplify -1 into -1
3.833 * [taylor]: Taking taylor expansion of im in re
3.833 * [backup-simplify]: Simplify im into im
3.833 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.833 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.833 * [taylor]: Taking taylor expansion of -1 in re
3.833 * [backup-simplify]: Simplify -1 into -1
3.833 * [taylor]: Taking taylor expansion of im in re
3.833 * [backup-simplify]: Simplify im into im
3.833 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.833 * [backup-simplify]: Simplify (* -1 -1) into 1
3.834 * [backup-simplify]: Simplify (+ 1 0) into 1
3.834 * [backup-simplify]: Simplify (sqrt 1) into 1
3.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.836 * [backup-simplify]: Simplify (+ 0 0) into 0
3.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.837 * [taylor]: Taking taylor expansion of 1 in im
3.837 * [backup-simplify]: Simplify 1 into 1
3.837 * [taylor]: Taking taylor expansion of 0 in im
3.837 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify 1 into 1
3.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.840 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.840 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.842 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.842 * [taylor]: Taking taylor expansion of 1/2 in im
3.842 * [backup-simplify]: Simplify 1/2 into 1/2
3.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.842 * [taylor]: Taking taylor expansion of im in im
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.842 * [backup-simplify]: Simplify (* 1 1) into 1
3.843 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.849 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.849 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.850 * [backup-simplify]: Simplify (+ 0 0) into 0
3.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.851 * [taylor]: Taking taylor expansion of 0 in im
3.851 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.853 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
3.853 * [backup-simplify]: Simplify (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot re im) re)))
3.853 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0
3.853 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im
3.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.854 * [taylor]: Taking taylor expansion of 2.0 in im
3.854 * [backup-simplify]: Simplify 2.0 into 2.0
3.854 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.855 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
3.855 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.855 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.855 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.855 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.855 * [taylor]: Taking taylor expansion of (* re re) in im
3.855 * [taylor]: Taking taylor expansion of re in im
3.855 * [backup-simplify]: Simplify re into re
3.855 * [taylor]: Taking taylor expansion of re in im
3.855 * [backup-simplify]: Simplify re into re
3.855 * [taylor]: Taking taylor expansion of (* im im) in im
3.855 * [taylor]: Taking taylor expansion of im in im
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [taylor]: Taking taylor expansion of im in im
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.856 * [backup-simplify]: Simplify (* 0 0) into 0
3.856 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.856 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.856 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.857 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.857 * [backup-simplify]: Simplify (+ 0 0) into 0
3.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.858 * [taylor]: Taking taylor expansion of re in im
3.858 * [backup-simplify]: Simplify re into re
3.858 * [backup-simplify]: Simplify (- re) into (- re)
3.858 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.858 * [backup-simplify]: Simplify (- 0) into 0
3.858 * [backup-simplify]: Simplify (+ 0 0) into 0
3.859 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.860 * [backup-simplify]: Simplify (+ 0 1) into 1
3.861 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.861 * [backup-simplify]: Simplify (- 0) into 0
3.861 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.861 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.862 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.864 * [backup-simplify]: Simplify (+ 0 0) into 0
3.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.864 * [backup-simplify]: Simplify (- 0) into 0
3.865 * [backup-simplify]: Simplify (+ 0 0) into 0
3.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
3.865 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
3.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.865 * [taylor]: Taking taylor expansion of 2.0 in re
3.865 * [backup-simplify]: Simplify 2.0 into 2.0
3.866 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.867 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
3.867 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.867 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.867 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.867 * [taylor]: Taking taylor expansion of (* re re) in re
3.867 * [taylor]: Taking taylor expansion of re in re
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.867 * [taylor]: Taking taylor expansion of re in re
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.867 * [taylor]: Taking taylor expansion of (* im im) in re
3.867 * [taylor]: Taking taylor expansion of im in re
3.867 * [backup-simplify]: Simplify im into im
3.867 * [taylor]: Taking taylor expansion of im in re
3.867 * [backup-simplify]: Simplify im into im
3.867 * [backup-simplify]: Simplify (* 0 0) into 0
3.868 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.868 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.868 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.869 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.869 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.869 * [backup-simplify]: Simplify (+ 0 0) into 0
3.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.869 * [taylor]: Taking taylor expansion of re in re
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.870 * [backup-simplify]: Simplify (- 0) into 0
3.870 * [backup-simplify]: Simplify (+ im 0) into im
3.870 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.870 * [backup-simplify]: Simplify (- 1) into -1
3.871 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.871 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.871 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
3.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.871 * [taylor]: Taking taylor expansion of 2.0 in re
3.871 * [backup-simplify]: Simplify 2.0 into 2.0
3.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.872 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
3.872 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.872 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.872 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.872 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.872 * [taylor]: Taking taylor expansion of (* re re) in re
3.872 * [taylor]: Taking taylor expansion of re in re
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify 1 into 1
3.872 * [taylor]: Taking taylor expansion of re in re
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify 1 into 1
3.872 * [taylor]: Taking taylor expansion of (* im im) in re
3.872 * [taylor]: Taking taylor expansion of im in re
3.872 * [backup-simplify]: Simplify im into im
3.873 * [taylor]: Taking taylor expansion of im in re
3.873 * [backup-simplify]: Simplify im into im
3.873 * [backup-simplify]: Simplify (* 0 0) into 0
3.873 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.873 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.873 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.874 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.874 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.874 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.875 * [taylor]: Taking taylor expansion of re in re
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [backup-simplify]: Simplify (- 0) into 0
3.875 * [backup-simplify]: Simplify (+ im 0) into im
3.875 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.875 * [backup-simplify]: Simplify (- 1) into -1
3.876 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.876 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.876 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.877 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
3.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.877 * [taylor]: Taking taylor expansion of 2.0 in im
3.877 * [backup-simplify]: Simplify 2.0 into 2.0
3.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.878 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.878 * [taylor]: Taking taylor expansion of im in im
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify (sqrt 0) into 0
3.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.882 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.884 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.884 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
3.884 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
3.884 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
3.884 * [taylor]: Taking taylor expansion of 1/2 in im
3.885 * [backup-simplify]: Simplify 1/2 into 1/2
3.885 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
3.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.885 * [taylor]: Taking taylor expansion of 2.0 in im
3.885 * [backup-simplify]: Simplify 2.0 into 2.0
3.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.886 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.886 * [taylor]: Taking taylor expansion of im in im
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 1 into 1
3.886 * [backup-simplify]: Simplify (/ 1 1) into 1
3.887 * [backup-simplify]: Simplify (sqrt 0) into 0
3.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.896 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.898 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.899 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.904 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.906 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.908 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.911 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.918 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.924 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
3.925 * [backup-simplify]: Simplify (sqrt (* (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))
3.925 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
3.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
3.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.925 * [taylor]: Taking taylor expansion of 2.0 in im
3.925 * [backup-simplify]: Simplify 2.0 into 2.0
3.925 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.926 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
3.926 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.926 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.926 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.926 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.926 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.927 * [taylor]: Taking taylor expansion of re in im
3.927 * [backup-simplify]: Simplify re into re
3.927 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.927 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.927 * [taylor]: Taking taylor expansion of re in im
3.927 * [backup-simplify]: Simplify re into re
3.927 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.927 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.927 * [taylor]: Taking taylor expansion of im in im
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.927 * [taylor]: Taking taylor expansion of im in im
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (/ 1 1) into 1
3.928 * [backup-simplify]: Simplify (* 1 1) into 1
3.929 * [backup-simplify]: Simplify (+ 0 1) into 1
3.929 * [backup-simplify]: Simplify (sqrt 1) into 1
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.932 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.932 * [taylor]: Taking taylor expansion of re in im
3.932 * [backup-simplify]: Simplify re into re
3.933 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.933 * [backup-simplify]: Simplify (+ 1 0) into 1
3.933 * [backup-simplify]: Simplify (sqrt 0) into 0
3.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.935 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
3.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.935 * [taylor]: Taking taylor expansion of 2.0 in re
3.935 * [backup-simplify]: Simplify 2.0 into 2.0
3.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.936 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.936 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.936 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.936 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.936 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.936 * [taylor]: Taking taylor expansion of re in re
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.937 * [taylor]: Taking taylor expansion of re in re
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.937 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.937 * [taylor]: Taking taylor expansion of im in re
3.938 * [backup-simplify]: Simplify im into im
3.938 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.938 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.938 * [taylor]: Taking taylor expansion of im in re
3.938 * [backup-simplify]: Simplify im into im
3.938 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.938 * [backup-simplify]: Simplify (* 1 1) into 1
3.939 * [backup-simplify]: Simplify (+ 1 0) into 1
3.939 * [backup-simplify]: Simplify (sqrt 1) into 1
3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.942 * [backup-simplify]: Simplify (+ 0 0) into 0
3.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.943 * [taylor]: Taking taylor expansion of re in re
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (/ 1 1) into 1
3.944 * [backup-simplify]: Simplify (- 1) into -1
3.944 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (- 0) into 0
3.946 * [backup-simplify]: Simplify (+ 0 0) into 0
3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.948 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.949 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.950 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.951 * [backup-simplify]: Simplify (- 0) into 0
3.952 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.952 * [backup-simplify]: Simplify (sqrt 0) into 0
3.953 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
3.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.953 * [taylor]: Taking taylor expansion of 2.0 in re
3.953 * [backup-simplify]: Simplify 2.0 into 2.0
3.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.954 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.954 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.954 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.954 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.954 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.954 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.954 * [taylor]: Taking taylor expansion of re in re
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.955 * [backup-simplify]: Simplify (/ 1 1) into 1
3.955 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.955 * [taylor]: Taking taylor expansion of re in re
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [backup-simplify]: Simplify (/ 1 1) into 1
3.955 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.955 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.955 * [taylor]: Taking taylor expansion of im in re
3.955 * [backup-simplify]: Simplify im into im
3.955 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.955 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.955 * [taylor]: Taking taylor expansion of im in re
3.956 * [backup-simplify]: Simplify im into im
3.956 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.956 * [backup-simplify]: Simplify (* 1 1) into 1
3.956 * [backup-simplify]: Simplify (+ 1 0) into 1
3.957 * [backup-simplify]: Simplify (sqrt 1) into 1
3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.960 * [taylor]: Taking taylor expansion of re in re
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (/ 1 1) into 1
3.961 * [backup-simplify]: Simplify (- 1) into -1
3.961 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.963 * [backup-simplify]: Simplify (- 0) into 0
3.964 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.967 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.967 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.970 * [backup-simplify]: Simplify (- 0) into 0
3.970 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.970 * [backup-simplify]: Simplify (sqrt 0) into 0
3.971 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.972 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.972 * [taylor]: Taking taylor expansion of 0 in im
3.972 * [backup-simplify]: Simplify 0 into 0
3.973 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.973 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.973 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.973 * [taylor]: Taking taylor expansion of +nan.0 in im
3.973 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.973 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.973 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.973 * [taylor]: Taking taylor expansion of 2.0 in im
3.973 * [backup-simplify]: Simplify 2.0 into 2.0
3.973 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.974 * [taylor]: Taking taylor expansion of im in im
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 1 into 1
3.974 * [backup-simplify]: Simplify (* 1 1) into 1
3.975 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.979 * [backup-simplify]: Simplify (- 0) into 0
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.982 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.982 * [backup-simplify]: Simplify (+ 0 0) into 0
3.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.984 * [backup-simplify]: Simplify (- 0) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.984 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.986 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
3.986 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.986 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.986 * [taylor]: Taking taylor expansion of +nan.0 in im
3.986 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.986 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.986 * [taylor]: Taking taylor expansion of 2.0 in im
3.986 * [backup-simplify]: Simplify 2.0 into 2.0
3.986 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.987 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.987 * [taylor]: Taking taylor expansion of im in im
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.987 * [backup-simplify]: Simplify (* 1 1) into 1
3.987 * [backup-simplify]: Simplify (* 1 1) into 1
3.988 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.995 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.995 * [backup-simplify]: Simplify (- 0) into 0
3.995 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.998 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.998 * [backup-simplify]: Simplify (- 0) into 0
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.000 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
4.001 * [backup-simplify]: Simplify (+ 0 0) into 0
4.002 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.002 * [backup-simplify]: Simplify (- 0) into 0
4.003 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
4.003 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
4.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.005 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
4.005 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
4.005 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
4.005 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
4.005 * [taylor]: Taking taylor expansion of +nan.0 in im
4.005 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.005 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
4.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.005 * [taylor]: Taking taylor expansion of 2.0 in im
4.005 * [backup-simplify]: Simplify 2.0 into 2.0
4.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.006 * [taylor]: Taking taylor expansion of (pow im 4) in im
4.006 * [taylor]: Taking taylor expansion of im in im
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (* 1 1) into 1
4.006 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
4.007 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
4.007 * [taylor]: Taking taylor expansion of +nan.0 in im
4.007 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.007 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
4.007 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.007 * [taylor]: Taking taylor expansion of 2.0 in im
4.007 * [backup-simplify]: Simplify 2.0 into 2.0
4.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.008 * [taylor]: Taking taylor expansion of (pow im 6) in im
4.008 * [taylor]: Taking taylor expansion of im in im
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (* 1 1) into 1
4.008 * [backup-simplify]: Simplify (* 1 1) into 1
4.009 * [backup-simplify]: Simplify (* 1 1) into 1
4.009 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.010 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.017 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
4.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.042 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
4.042 * [backup-simplify]: Simplify (- 0) into 0
4.043 * [backup-simplify]: Simplify (+ 0 0) into 0
4.043 * [backup-simplify]: Simplify (- 0) into 0
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify (sqrt (* (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
4.044 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
4.044 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
4.044 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.044 * [taylor]: Taking taylor expansion of 2.0 in im
4.044 * [backup-simplify]: Simplify 2.0 into 2.0
4.044 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.045 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
4.045 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
4.045 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.045 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.045 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.045 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.045 * [taylor]: Taking taylor expansion of -1 in im
4.045 * [backup-simplify]: Simplify -1 into -1
4.046 * [taylor]: Taking taylor expansion of re in im
4.046 * [backup-simplify]: Simplify re into re
4.046 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.046 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.046 * [taylor]: Taking taylor expansion of -1 in im
4.046 * [backup-simplify]: Simplify -1 into -1
4.046 * [taylor]: Taking taylor expansion of re in im
4.046 * [backup-simplify]: Simplify re into re
4.046 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.046 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.046 * [taylor]: Taking taylor expansion of -1 in im
4.046 * [backup-simplify]: Simplify -1 into -1
4.046 * [taylor]: Taking taylor expansion of im in im
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 1 into 1
4.046 * [backup-simplify]: Simplify (/ -1 1) into -1
4.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.047 * [taylor]: Taking taylor expansion of -1 in im
4.047 * [backup-simplify]: Simplify -1 into -1
4.047 * [taylor]: Taking taylor expansion of im in im
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 1 into 1
4.047 * [backup-simplify]: Simplify (/ -1 1) into -1
4.047 * [backup-simplify]: Simplify (* -1 -1) into 1
4.048 * [backup-simplify]: Simplify (+ 0 1) into 1
4.048 * [backup-simplify]: Simplify (sqrt 1) into 1
4.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.051 * [backup-simplify]: Simplify (+ 0 0) into 0
4.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.052 * [taylor]: Taking taylor expansion of re in im
4.052 * [backup-simplify]: Simplify re into re
4.052 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.052 * [backup-simplify]: Simplify (+ 1 0) into 1
4.052 * [backup-simplify]: Simplify (sqrt 0) into 0
4.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.054 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
4.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.054 * [taylor]: Taking taylor expansion of 2.0 in re
4.054 * [backup-simplify]: Simplify 2.0 into 2.0
4.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.055 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
4.055 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.055 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.055 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.055 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.055 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.055 * [taylor]: Taking taylor expansion of -1 in re
4.055 * [backup-simplify]: Simplify -1 into -1
4.055 * [taylor]: Taking taylor expansion of re in re
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [backup-simplify]: Simplify (/ -1 1) into -1
4.055 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.055 * [taylor]: Taking taylor expansion of -1 in re
4.055 * [backup-simplify]: Simplify -1 into -1
4.055 * [taylor]: Taking taylor expansion of re in re
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (/ -1 1) into -1
4.056 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.056 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.056 * [taylor]: Taking taylor expansion of -1 in re
4.056 * [backup-simplify]: Simplify -1 into -1
4.056 * [taylor]: Taking taylor expansion of im in re
4.056 * [backup-simplify]: Simplify im into im
4.056 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.056 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.056 * [taylor]: Taking taylor expansion of -1 in re
4.056 * [backup-simplify]: Simplify -1 into -1
4.056 * [taylor]: Taking taylor expansion of im in re
4.056 * [backup-simplify]: Simplify im into im
4.056 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.056 * [backup-simplify]: Simplify (* -1 -1) into 1
4.057 * [backup-simplify]: Simplify (+ 1 0) into 1
4.057 * [backup-simplify]: Simplify (sqrt 1) into 1
4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.058 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.058 * [backup-simplify]: Simplify (+ 0 0) into 0
4.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.059 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.059 * [taylor]: Taking taylor expansion of re in re
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 1 into 1
4.059 * [backup-simplify]: Simplify (/ 1 1) into 1
4.059 * [backup-simplify]: Simplify (+ 1 1) into 2
4.060 * [backup-simplify]: Simplify (sqrt 0) into 0
4.060 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
4.060 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
4.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.060 * [taylor]: Taking taylor expansion of 2.0 in re
4.061 * [backup-simplify]: Simplify 2.0 into 2.0
4.061 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
4.061 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.061 * [taylor]: Taking taylor expansion of -1 in re
4.061 * [backup-simplify]: Simplify -1 into -1
4.061 * [taylor]: Taking taylor expansion of re in re
4.061 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (/ -1 1) into -1
4.062 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.062 * [taylor]: Taking taylor expansion of -1 in re
4.062 * [backup-simplify]: Simplify -1 into -1
4.062 * [taylor]: Taking taylor expansion of re in re
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (/ -1 1) into -1
4.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.062 * [taylor]: Taking taylor expansion of -1 in re
4.062 * [backup-simplify]: Simplify -1 into -1
4.062 * [taylor]: Taking taylor expansion of im in re
4.062 * [backup-simplify]: Simplify im into im
4.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.062 * [taylor]: Taking taylor expansion of -1 in re
4.062 * [backup-simplify]: Simplify -1 into -1
4.062 * [taylor]: Taking taylor expansion of im in re
4.062 * [backup-simplify]: Simplify im into im
4.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.063 * [backup-simplify]: Simplify (* -1 -1) into 1
4.063 * [backup-simplify]: Simplify (+ 1 0) into 1
4.063 * [backup-simplify]: Simplify (sqrt 1) into 1
4.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.065 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.065 * [backup-simplify]: Simplify (+ 0 0) into 0
4.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.066 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.066 * [taylor]: Taking taylor expansion of re in re
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.066 * [backup-simplify]: Simplify (+ 1 1) into 2
4.066 * [backup-simplify]: Simplify (sqrt 0) into 0
4.067 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
4.068 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.068 * [taylor]: Taking taylor expansion of 0 in im
4.068 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.069 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
4.069 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.069 * [taylor]: Taking taylor expansion of +nan.0 in im
4.069 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.069 * [taylor]: Taking taylor expansion of 2.0 in im
4.069 * [backup-simplify]: Simplify 2.0 into 2.0
4.069 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (+ 0 0) into 0
4.072 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.075 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
4.075 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
4.075 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.075 * [taylor]: Taking taylor expansion of +nan.0 in im
4.075 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.075 * [taylor]: Taking taylor expansion of 2.0 in im
4.075 * [backup-simplify]: Simplify 2.0 into 2.0
4.075 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.076 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.077 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.078 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.078 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.080 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.080 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.081 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.082 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.083 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
4.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.085 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
4.085 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
4.085 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
4.085 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.085 * [taylor]: Taking taylor expansion of +nan.0 in im
4.085 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.085 * [taylor]: Taking taylor expansion of 2.0 in im
4.085 * [backup-simplify]: Simplify 2.0 into 2.0
4.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
4.085 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
4.086 * [taylor]: Taking taylor expansion of +nan.0 in im
4.086 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.086 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
4.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.086 * [taylor]: Taking taylor expansion of 2.0 in im
4.086 * [backup-simplify]: Simplify 2.0 into 2.0
4.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.086 * [taylor]: Taking taylor expansion of im in im
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.087 * [backup-simplify]: Simplify (* 1 1) into 1
4.088 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.090 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.091 * [backup-simplify]: Simplify (- 0) into 0
4.091 * [backup-simplify]: Simplify (+ 0 0) into 0
4.091 * [backup-simplify]: Simplify (- 0) into 0
4.091 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.094 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.095 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.096 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.096 * [backup-simplify]: Simplify (- 0) into 0
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.100 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.100 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.100 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.100 * [backup-simplify]: Simplify (+ 0 0) into 0
4.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.102 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.108 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
4.108 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
4.108 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
4.108 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
4.108 * [taylor]: Taking taylor expansion of +nan.0 in im
4.108 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.108 * [taylor]: Taking taylor expansion of 2.0 in im
4.108 * [backup-simplify]: Simplify 2.0 into 2.0
4.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.110 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
4.110 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
4.110 * [taylor]: Taking taylor expansion of +nan.0 in im
4.110 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.110 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
4.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.110 * [taylor]: Taking taylor expansion of 2.0 in im
4.110 * [backup-simplify]: Simplify 2.0 into 2.0
4.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.111 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.111 * [taylor]: Taking taylor expansion of im in im
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 1 into 1
4.111 * [backup-simplify]: Simplify (* 1 1) into 1
4.112 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.115 * [backup-simplify]: Simplify (- 0) into 0
4.116 * [backup-simplify]: Simplify (+ 0 0) into 0
4.116 * [backup-simplify]: Simplify (- 0) into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.121 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
4.122 * [backup-simplify]: Simplify (- 0) into 0
4.123 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
4.125 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.127 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.132 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
4.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1)
4.133 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
4.133 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.133 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.133 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.133 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.133 * [taylor]: Taking taylor expansion of (* re re) in im
4.133 * [taylor]: Taking taylor expansion of re in im
4.133 * [backup-simplify]: Simplify re into re
4.133 * [taylor]: Taking taylor expansion of re in im
4.133 * [backup-simplify]: Simplify re into re
4.133 * [taylor]: Taking taylor expansion of (* im im) in im
4.133 * [taylor]: Taking taylor expansion of im in im
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 1 into 1
4.133 * [taylor]: Taking taylor expansion of im in im
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 1 into 1
4.133 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.134 * [backup-simplify]: Simplify (* 0 0) into 0
4.134 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.135 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.135 * [backup-simplify]: Simplify (+ 0 0) into 0
4.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.135 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.136 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.136 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.136 * [taylor]: Taking taylor expansion of (* re re) in re
4.136 * [taylor]: Taking taylor expansion of re in re
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify 1 into 1
4.136 * [taylor]: Taking taylor expansion of re in re
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify 1 into 1
4.136 * [taylor]: Taking taylor expansion of (* im im) in re
4.136 * [taylor]: Taking taylor expansion of im in re
4.136 * [backup-simplify]: Simplify im into im
4.136 * [taylor]: Taking taylor expansion of im in re
4.136 * [backup-simplify]: Simplify im into im
4.136 * [backup-simplify]: Simplify (* 0 0) into 0
4.136 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.136 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.137 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.137 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.138 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.138 * [taylor]: Taking taylor expansion of (* re re) in re
4.138 * [taylor]: Taking taylor expansion of re in re
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 1 into 1
4.138 * [taylor]: Taking taylor expansion of re in re
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 1 into 1
4.138 * [taylor]: Taking taylor expansion of (* im im) in re
4.138 * [taylor]: Taking taylor expansion of im in re
4.138 * [backup-simplify]: Simplify im into im
4.138 * [taylor]: Taking taylor expansion of im in re
4.138 * [backup-simplify]: Simplify im into im
4.139 * [backup-simplify]: Simplify (* 0 0) into 0
4.139 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.139 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.139 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.140 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.140 * [backup-simplify]: Simplify (+ 0 0) into 0
4.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.141 * [taylor]: Taking taylor expansion of im in im
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [taylor]: Taking taylor expansion of 0 in im
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.142 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.143 * [backup-simplify]: Simplify (+ 1 0) into 1
4.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.143 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.143 * [taylor]: Taking taylor expansion of 1/2 in im
4.143 * [backup-simplify]: Simplify 1/2 into 1/2
4.143 * [taylor]: Taking taylor expansion of im in im
4.143 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 1 into 1
4.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.147 * [backup-simplify]: Simplify (+ 0 0) into 0
4.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.147 * [taylor]: Taking taylor expansion of 0 in im
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.149 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
4.149 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.149 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.149 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.149 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.149 * [taylor]: Taking taylor expansion of re in im
4.149 * [backup-simplify]: Simplify re into re
4.149 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.149 * [taylor]: Taking taylor expansion of re in im
4.149 * [backup-simplify]: Simplify re into re
4.149 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.149 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.149 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.149 * [taylor]: Taking taylor expansion of im in im
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 1 into 1
4.150 * [backup-simplify]: Simplify (/ 1 1) into 1
4.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.150 * [taylor]: Taking taylor expansion of im in im
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 1 into 1
4.150 * [backup-simplify]: Simplify (/ 1 1) into 1
4.151 * [backup-simplify]: Simplify (* 1 1) into 1
4.151 * [backup-simplify]: Simplify (+ 0 1) into 1
4.151 * [backup-simplify]: Simplify (sqrt 1) into 1
4.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.154 * [backup-simplify]: Simplify (+ 0 0) into 0
4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.155 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.155 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.155 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.155 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.155 * [taylor]: Taking taylor expansion of re in re
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ 1 1) into 1
4.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.156 * [taylor]: Taking taylor expansion of re in re
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ 1 1) into 1
4.156 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.156 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.156 * [taylor]: Taking taylor expansion of im in re
4.156 * [backup-simplify]: Simplify im into im
4.156 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.156 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.156 * [taylor]: Taking taylor expansion of im in re
4.156 * [backup-simplify]: Simplify im into im
4.156 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.157 * [backup-simplify]: Simplify (* 1 1) into 1
4.157 * [backup-simplify]: Simplify (+ 1 0) into 1
4.158 * [backup-simplify]: Simplify (sqrt 1) into 1
4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.160 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.163 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.163 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.163 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.163 * [taylor]: Taking taylor expansion of re in re
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.164 * [backup-simplify]: Simplify (/ 1 1) into 1
4.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.164 * [taylor]: Taking taylor expansion of re in re
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.165 * [backup-simplify]: Simplify (/ 1 1) into 1
4.165 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.165 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.165 * [taylor]: Taking taylor expansion of im in re
4.165 * [backup-simplify]: Simplify im into im
4.165 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.165 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.165 * [taylor]: Taking taylor expansion of im in re
4.165 * [backup-simplify]: Simplify im into im
4.165 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.165 * [backup-simplify]: Simplify (* 1 1) into 1
4.166 * [backup-simplify]: Simplify (+ 1 0) into 1
4.166 * [backup-simplify]: Simplify (sqrt 1) into 1
4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.169 * [backup-simplify]: Simplify (+ 0 0) into 0
4.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.169 * [taylor]: Taking taylor expansion of 1 in im
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [taylor]: Taking taylor expansion of 0 in im
4.169 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 1 into 1
4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.172 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.174 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.174 * [taylor]: Taking taylor expansion of 1/2 in im
4.174 * [backup-simplify]: Simplify 1/2 into 1/2
4.174 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.174 * [taylor]: Taking taylor expansion of im in im
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (* 1 1) into 1
4.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.180 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.181 * [backup-simplify]: Simplify (+ 0 0) into 0
4.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.181 * [taylor]: Taking taylor expansion of 0 in im
4.181 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.184 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
4.184 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.184 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.184 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.184 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.184 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.184 * [taylor]: Taking taylor expansion of -1 in im
4.184 * [backup-simplify]: Simplify -1 into -1
4.184 * [taylor]: Taking taylor expansion of re in im
4.184 * [backup-simplify]: Simplify re into re
4.184 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.184 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.184 * [taylor]: Taking taylor expansion of -1 in im
4.184 * [backup-simplify]: Simplify -1 into -1
4.184 * [taylor]: Taking taylor expansion of re in im
4.184 * [backup-simplify]: Simplify re into re
4.184 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.184 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.184 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.185 * [taylor]: Taking taylor expansion of -1 in im
4.185 * [backup-simplify]: Simplify -1 into -1
4.185 * [taylor]: Taking taylor expansion of im in im
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [backup-simplify]: Simplify (/ -1 1) into -1
4.185 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.185 * [taylor]: Taking taylor expansion of -1 in im
4.185 * [backup-simplify]: Simplify -1 into -1
4.185 * [taylor]: Taking taylor expansion of im in im
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.186 * [backup-simplify]: Simplify (/ -1 1) into -1
4.186 * [backup-simplify]: Simplify (* -1 -1) into 1
4.187 * [backup-simplify]: Simplify (+ 0 1) into 1
4.187 * [backup-simplify]: Simplify (sqrt 1) into 1
4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.190 * [backup-simplify]: Simplify (+ 0 0) into 0
4.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.191 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.191 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.191 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.191 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.191 * [taylor]: Taking taylor expansion of -1 in re
4.191 * [backup-simplify]: Simplify -1 into -1
4.191 * [taylor]: Taking taylor expansion of re in re
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 1 into 1
4.192 * [backup-simplify]: Simplify (/ -1 1) into -1
4.192 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.192 * [taylor]: Taking taylor expansion of -1 in re
4.192 * [backup-simplify]: Simplify -1 into -1
4.192 * [taylor]: Taking taylor expansion of re in re
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 1 into 1
4.192 * [backup-simplify]: Simplify (/ -1 1) into -1
4.192 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.192 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.192 * [taylor]: Taking taylor expansion of -1 in re
4.193 * [backup-simplify]: Simplify -1 into -1
4.193 * [taylor]: Taking taylor expansion of im in re
4.193 * [backup-simplify]: Simplify im into im
4.193 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.193 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.193 * [taylor]: Taking taylor expansion of -1 in re
4.193 * [backup-simplify]: Simplify -1 into -1
4.193 * [taylor]: Taking taylor expansion of im in re
4.193 * [backup-simplify]: Simplify im into im
4.193 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.193 * [backup-simplify]: Simplify (* -1 -1) into 1
4.194 * [backup-simplify]: Simplify (+ 1 0) into 1
4.194 * [backup-simplify]: Simplify (sqrt 1) into 1
4.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.197 * [backup-simplify]: Simplify (+ 0 0) into 0
4.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.198 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.198 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.198 * [taylor]: Taking taylor expansion of -1 in re
4.198 * [backup-simplify]: Simplify -1 into -1
4.198 * [taylor]: Taking taylor expansion of re in re
4.198 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify 1 into 1
4.198 * [backup-simplify]: Simplify (/ -1 1) into -1
4.198 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.198 * [taylor]: Taking taylor expansion of -1 in re
4.198 * [backup-simplify]: Simplify -1 into -1
4.198 * [taylor]: Taking taylor expansion of re in re
4.198 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify 1 into 1
4.199 * [backup-simplify]: Simplify (/ -1 1) into -1
4.199 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.199 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.199 * [taylor]: Taking taylor expansion of -1 in re
4.199 * [backup-simplify]: Simplify -1 into -1
4.199 * [taylor]: Taking taylor expansion of im in re
4.199 * [backup-simplify]: Simplify im into im
4.199 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.199 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.199 * [taylor]: Taking taylor expansion of -1 in re
4.199 * [backup-simplify]: Simplify -1 into -1
4.199 * [taylor]: Taking taylor expansion of im in re
4.199 * [backup-simplify]: Simplify im into im
4.199 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.199 * [backup-simplify]: Simplify (* -1 -1) into 1
4.200 * [backup-simplify]: Simplify (+ 1 0) into 1
4.200 * [backup-simplify]: Simplify (sqrt 1) into 1
4.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.201 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.201 * [backup-simplify]: Simplify (+ 0 0) into 0
4.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.202 * [taylor]: Taking taylor expansion of 1 in im
4.202 * [backup-simplify]: Simplify 1 into 1
4.202 * [taylor]: Taking taylor expansion of 0 in im
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 1 into 1
4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.204 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.205 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.205 * [taylor]: Taking taylor expansion of 1/2 in im
4.205 * [backup-simplify]: Simplify 1/2 into 1/2
4.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.205 * [taylor]: Taking taylor expansion of im in im
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (* 1 1) into 1
4.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.206 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.208 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.209 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.209 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.209 * [backup-simplify]: Simplify (+ 0 0) into 0
4.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.209 * [taylor]: Taking taylor expansion of 0 in im
4.209 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.211 * * * [progress]: simplifying candidates
4.212 * [simplify]: Simplifying:
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (- re)
  (/ (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re))
  (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))
  (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3))
  (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))
  (- re)
  (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re))
  (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (log1p (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (log (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (exp (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (* (cbrt (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (cbrt (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))
  (cbrt (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (* (* (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt 2.0)
  (sqrt (* (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))
  (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0))
  (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (sqrt (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  im
  re
  (* -1 re)
4.213 * * [simplify]: iteration 0: 152 enodes
4.263 * * [simplify]: iteration 1: 340 enodes
4.439 * * [simplify]: iteration 2: 1345 enodes
5.169 * * [simplify]: iteration complete: 5001 enodes
5.170 * * [simplify]: Extracting #0: cost 57 inf + 0
5.171 * * [simplify]: Extracting #1: cost 628 inf + 6
5.177 * * [simplify]: Extracting #2: cost 1363 inf + 12112
5.202 * * [simplify]: Extracting #3: cost 830 inf + 101210
5.282 * * [simplify]: Extracting #4: cost 109 inf + 241649
5.331 * * [simplify]: Extracting #5: cost 5 inf + 263538
5.409 * * [simplify]: Extracting #6: cost 0 inf + 264475
5.463 * [simplify]: Simplified to:
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (- (hypot re im) re)
  (fma re -1 re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))
  (fma (hypot re im) (hypot re im) (* re (+ re (hypot re im))))
  (- re)
  (* (+ (hypot re im) re) (- (hypot re im) re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)))
  (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (expm1 (sqrt (* 2.0 (- (hypot re im) re))))
  (log1p (sqrt (* 2.0 (- (hypot re im) re))))
  (log (sqrt (* 2.0 (- (hypot re im) re))))
  (exp (sqrt (* 2.0 (- (hypot re im) re))))
  (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))))
  (cbrt (sqrt (* 2.0 (- (hypot re im) re))))
  (* (sqrt (* 2.0 (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* 2.0 (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))))
  (sqrt (fma (hypot re im) (hypot re im) (* re (+ re (hypot re im)))))
  (sqrt (* (* (+ (hypot re im) re) (- (hypot re im) re)) 2.0))
  (sqrt (+ re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (- (hypot re im) re))))
  (sqrt (sqrt (* 2.0 (- (hypot re im) re))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- im re)
  0
  (* re -2)
  im
  re
  (- re)
  (- (* (* (sqrt 2.0) +nan.0) (- (* re im) (- (* im im) im))))
  0
  (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))) (- (sqrt 2.0))))
  im
  re
  (- re)
5.470 * * * [progress]: adding candidates to table
6.027 * * [progress]: iteration 3 / 4
6.027 * * * [progress]: picking best candidate
6.086 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) 2.0))))>
6.086 * * * [progress]: localizing error
6.144 * * * [progress]: generating rewritten candidates
6.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
6.255 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1 1)
6.273 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
6.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1 2)
6.384 * * * [progress]: generating series expansions
6.384 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
6.385 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) into (- (hypot re im) re)
6.385 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.385 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.385 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.385 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.385 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.385 * [taylor]: Taking taylor expansion of (* re re) in im
6.385 * [taylor]: Taking taylor expansion of re in im
6.386 * [backup-simplify]: Simplify re into re
6.386 * [taylor]: Taking taylor expansion of re in im
6.386 * [backup-simplify]: Simplify re into re
6.386 * [taylor]: Taking taylor expansion of (* im im) in im
6.386 * [taylor]: Taking taylor expansion of im in im
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 1 into 1
6.386 * [taylor]: Taking taylor expansion of im in im
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 1 into 1
6.386 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.387 * [backup-simplify]: Simplify (* 0 0) into 0
6.387 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.387 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.387 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.388 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.388 * [backup-simplify]: Simplify (+ 0 0) into 0
6.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.388 * [taylor]: Taking taylor expansion of re in im
6.388 * [backup-simplify]: Simplify re into re
6.388 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.388 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.389 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.389 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.389 * [taylor]: Taking taylor expansion of (* re re) in re
6.389 * [taylor]: Taking taylor expansion of re in re
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 1 into 1
6.389 * [taylor]: Taking taylor expansion of re in re
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 1 into 1
6.389 * [taylor]: Taking taylor expansion of (* im im) in re
6.389 * [taylor]: Taking taylor expansion of im in re
6.389 * [backup-simplify]: Simplify im into im
6.389 * [taylor]: Taking taylor expansion of im in re
6.389 * [backup-simplify]: Simplify im into im
6.389 * [backup-simplify]: Simplify (* 0 0) into 0
6.389 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.390 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.390 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.390 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.391 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.391 * [backup-simplify]: Simplify (+ 0 0) into 0
6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.391 * [taylor]: Taking taylor expansion of re in re
6.391 * [backup-simplify]: Simplify 0 into 0
6.391 * [backup-simplify]: Simplify 1 into 1
6.391 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.391 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.391 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.391 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.391 * [taylor]: Taking taylor expansion of (* re re) in re
6.391 * [taylor]: Taking taylor expansion of re in re
6.392 * [backup-simplify]: Simplify 0 into 0
6.392 * [backup-simplify]: Simplify 1 into 1
6.392 * [taylor]: Taking taylor expansion of re in re
6.392 * [backup-simplify]: Simplify 0 into 0
6.392 * [backup-simplify]: Simplify 1 into 1
6.392 * [taylor]: Taking taylor expansion of (* im im) in re
6.392 * [taylor]: Taking taylor expansion of im in re
6.392 * [backup-simplify]: Simplify im into im
6.392 * [taylor]: Taking taylor expansion of im in re
6.392 * [backup-simplify]: Simplify im into im
6.392 * [backup-simplify]: Simplify (* 0 0) into 0
6.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.392 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.394 * [backup-simplify]: Simplify (+ 0 0) into 0
6.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.394 * [taylor]: Taking taylor expansion of re in re
6.394 * [backup-simplify]: Simplify 0 into 0
6.394 * [backup-simplify]: Simplify 1 into 1
6.394 * [backup-simplify]: Simplify (- 0) into 0
6.395 * [backup-simplify]: Simplify (+ im 0) into im
6.395 * [taylor]: Taking taylor expansion of im in im
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify 1 into 1
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify (- 1) into -1
6.395 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.396 * [taylor]: Taking taylor expansion of -1 in im
6.396 * [backup-simplify]: Simplify -1 into -1
6.396 * [backup-simplify]: Simplify -1 into -1
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.397 * [backup-simplify]: Simplify (+ 1 0) into 1
6.398 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.399 * [backup-simplify]: Simplify (- 0) into 0
6.399 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.399 * [taylor]: Taking taylor expansion of 1/2 in im
6.399 * [backup-simplify]: Simplify 1/2 into 1/2
6.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.399 * [taylor]: Taking taylor expansion of im in im
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 1 into 1
6.399 * [backup-simplify]: Simplify (/ 1 1) into 1
6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.403 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.404 * [backup-simplify]: Simplify (- 0) into 0
6.404 * [backup-simplify]: Simplify (+ 0 0) into 0
6.404 * [taylor]: Taking taylor expansion of 0 in im
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 0 into 0
6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.406 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.407 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
6.407 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.407 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.407 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.407 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.407 * [taylor]: Taking taylor expansion of re in im
6.408 * [backup-simplify]: Simplify re into re
6.408 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.408 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.408 * [taylor]: Taking taylor expansion of re in im
6.408 * [backup-simplify]: Simplify re into re
6.408 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.408 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.408 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.408 * [taylor]: Taking taylor expansion of im in im
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 1 into 1
6.408 * [backup-simplify]: Simplify (/ 1 1) into 1
6.408 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.408 * [taylor]: Taking taylor expansion of im in im
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 1 into 1
6.409 * [backup-simplify]: Simplify (/ 1 1) into 1
6.409 * [backup-simplify]: Simplify (* 1 1) into 1
6.409 * [backup-simplify]: Simplify (+ 0 1) into 1
6.410 * [backup-simplify]: Simplify (sqrt 1) into 1
6.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.412 * [backup-simplify]: Simplify (+ 0 0) into 0
6.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.413 * [taylor]: Taking taylor expansion of re in im
6.413 * [backup-simplify]: Simplify re into re
6.413 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.413 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.413 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.413 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.414 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.414 * [taylor]: Taking taylor expansion of re in re
6.414 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify 1 into 1
6.414 * [backup-simplify]: Simplify (/ 1 1) into 1
6.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.414 * [taylor]: Taking taylor expansion of re in re
6.414 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify 1 into 1
6.414 * [backup-simplify]: Simplify (/ 1 1) into 1
6.414 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.415 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.415 * [taylor]: Taking taylor expansion of im in re
6.415 * [backup-simplify]: Simplify im into im
6.415 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.415 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.415 * [taylor]: Taking taylor expansion of im in re
6.415 * [backup-simplify]: Simplify im into im
6.415 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.415 * [backup-simplify]: Simplify (* 1 1) into 1
6.415 * [backup-simplify]: Simplify (+ 1 0) into 1
6.416 * [backup-simplify]: Simplify (sqrt 1) into 1
6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.418 * [backup-simplify]: Simplify (+ 0 0) into 0
6.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.419 * [taylor]: Taking taylor expansion of re in re
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [backup-simplify]: Simplify (/ 1 1) into 1
6.419 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.420 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.420 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.420 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.420 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.420 * [taylor]: Taking taylor expansion of re in re
6.420 * [backup-simplify]: Simplify 0 into 0
6.420 * [backup-simplify]: Simplify 1 into 1
6.420 * [backup-simplify]: Simplify (/ 1 1) into 1
6.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.420 * [taylor]: Taking taylor expansion of re in re
6.420 * [backup-simplify]: Simplify 0 into 0
6.420 * [backup-simplify]: Simplify 1 into 1
6.421 * [backup-simplify]: Simplify (/ 1 1) into 1
6.421 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.421 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.421 * [taylor]: Taking taylor expansion of im in re
6.421 * [backup-simplify]: Simplify im into im
6.421 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.421 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.421 * [taylor]: Taking taylor expansion of im in re
6.421 * [backup-simplify]: Simplify im into im
6.421 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.422 * [backup-simplify]: Simplify (* 1 1) into 1
6.422 * [backup-simplify]: Simplify (+ 1 0) into 1
6.422 * [backup-simplify]: Simplify (sqrt 1) into 1
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.425 * [backup-simplify]: Simplify (+ 0 0) into 0
6.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.426 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.426 * [taylor]: Taking taylor expansion of re in re
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify 1 into 1
6.426 * [backup-simplify]: Simplify (/ 1 1) into 1
6.426 * [backup-simplify]: Simplify (- 1) into -1
6.427 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.427 * [taylor]: Taking taylor expansion of 0 in im
6.427 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.428 * [backup-simplify]: Simplify (- 0) into 0
6.428 * [backup-simplify]: Simplify (+ 0 0) into 0
6.428 * [taylor]: Taking taylor expansion of 0 in im
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.432 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.435 * [backup-simplify]: Simplify (- 0) into 0
6.435 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.435 * [taylor]: Taking taylor expansion of 1/2 in im
6.435 * [backup-simplify]: Simplify 1/2 into 1/2
6.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.435 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.435 * [taylor]: Taking taylor expansion of im in im
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 1 into 1
6.436 * [backup-simplify]: Simplify (* 1 1) into 1
6.436 * [backup-simplify]: Simplify (/ 1 1) into 1
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.439 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.442 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.442 * [backup-simplify]: Simplify (+ 0 0) into 0
6.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.444 * [backup-simplify]: Simplify (- 0) into 0
6.445 * [backup-simplify]: Simplify (+ 0 0) into 0
6.445 * [taylor]: Taking taylor expansion of 0 in im
6.445 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.448 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.448 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.448 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.448 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.448 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.448 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.448 * [taylor]: Taking taylor expansion of -1 in im
6.448 * [backup-simplify]: Simplify -1 into -1
6.448 * [taylor]: Taking taylor expansion of re in im
6.448 * [backup-simplify]: Simplify re into re
6.448 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.448 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.448 * [taylor]: Taking taylor expansion of -1 in im
6.448 * [backup-simplify]: Simplify -1 into -1
6.448 * [taylor]: Taking taylor expansion of re in im
6.448 * [backup-simplify]: Simplify re into re
6.448 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.448 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.448 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.448 * [taylor]: Taking taylor expansion of -1 in im
6.448 * [backup-simplify]: Simplify -1 into -1
6.448 * [taylor]: Taking taylor expansion of im in im
6.448 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify 1 into 1
6.449 * [backup-simplify]: Simplify (/ -1 1) into -1
6.449 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.449 * [taylor]: Taking taylor expansion of -1 in im
6.449 * [backup-simplify]: Simplify -1 into -1
6.449 * [taylor]: Taking taylor expansion of im in im
6.449 * [backup-simplify]: Simplify 0 into 0
6.449 * [backup-simplify]: Simplify 1 into 1
6.449 * [backup-simplify]: Simplify (/ -1 1) into -1
6.449 * [backup-simplify]: Simplify (* -1 -1) into 1
6.450 * [backup-simplify]: Simplify (+ 0 1) into 1
6.450 * [backup-simplify]: Simplify (sqrt 1) into 1
6.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.451 * [backup-simplify]: Simplify (+ 0 0) into 0
6.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.452 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.452 * [taylor]: Taking taylor expansion of re in im
6.452 * [backup-simplify]: Simplify re into re
6.452 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.452 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.452 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.452 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.452 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.452 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.452 * [taylor]: Taking taylor expansion of -1 in re
6.452 * [backup-simplify]: Simplify -1 into -1
6.452 * [taylor]: Taking taylor expansion of re in re
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 1 into 1
6.453 * [backup-simplify]: Simplify (/ -1 1) into -1
6.453 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.453 * [taylor]: Taking taylor expansion of -1 in re
6.453 * [backup-simplify]: Simplify -1 into -1
6.453 * [taylor]: Taking taylor expansion of re in re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify 1 into 1
6.453 * [backup-simplify]: Simplify (/ -1 1) into -1
6.453 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.453 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.453 * [taylor]: Taking taylor expansion of -1 in re
6.453 * [backup-simplify]: Simplify -1 into -1
6.453 * [taylor]: Taking taylor expansion of im in re
6.453 * [backup-simplify]: Simplify im into im
6.453 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.453 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.453 * [taylor]: Taking taylor expansion of -1 in re
6.453 * [backup-simplify]: Simplify -1 into -1
6.453 * [taylor]: Taking taylor expansion of im in re
6.453 * [backup-simplify]: Simplify im into im
6.453 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.453 * [backup-simplify]: Simplify (* -1 -1) into 1
6.454 * [backup-simplify]: Simplify (+ 1 0) into 1
6.454 * [backup-simplify]: Simplify (sqrt 1) into 1
6.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.455 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.456 * [backup-simplify]: Simplify (+ 0 0) into 0
6.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.456 * [taylor]: Taking taylor expansion of re in re
6.456 * [backup-simplify]: Simplify 0 into 0
6.456 * [backup-simplify]: Simplify 1 into 1
6.456 * [backup-simplify]: Simplify (/ 1 1) into 1
6.456 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.456 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.457 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.457 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.457 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.457 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.457 * [taylor]: Taking taylor expansion of -1 in re
6.457 * [backup-simplify]: Simplify -1 into -1
6.457 * [taylor]: Taking taylor expansion of re in re
6.457 * [backup-simplify]: Simplify 0 into 0
6.457 * [backup-simplify]: Simplify 1 into 1
6.457 * [backup-simplify]: Simplify (/ -1 1) into -1
6.457 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.457 * [taylor]: Taking taylor expansion of -1 in re
6.457 * [backup-simplify]: Simplify -1 into -1
6.457 * [taylor]: Taking taylor expansion of re in re
6.457 * [backup-simplify]: Simplify 0 into 0
6.457 * [backup-simplify]: Simplify 1 into 1
6.457 * [backup-simplify]: Simplify (/ -1 1) into -1
6.457 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.457 * [taylor]: Taking taylor expansion of -1 in re
6.457 * [backup-simplify]: Simplify -1 into -1
6.457 * [taylor]: Taking taylor expansion of im in re
6.457 * [backup-simplify]: Simplify im into im
6.458 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.458 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.458 * [taylor]: Taking taylor expansion of -1 in re
6.458 * [backup-simplify]: Simplify -1 into -1
6.458 * [taylor]: Taking taylor expansion of im in re
6.458 * [backup-simplify]: Simplify im into im
6.458 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.458 * [backup-simplify]: Simplify (* -1 -1) into 1
6.458 * [backup-simplify]: Simplify (+ 1 0) into 1
6.458 * [backup-simplify]: Simplify (sqrt 1) into 1
6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.460 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.460 * [backup-simplify]: Simplify (+ 0 0) into 0
6.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.460 * [taylor]: Taking taylor expansion of re in re
6.460 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify 1 into 1
6.461 * [backup-simplify]: Simplify (/ 1 1) into 1
6.461 * [backup-simplify]: Simplify (+ 1 1) into 2
6.461 * [taylor]: Taking taylor expansion of 2 in im
6.461 * [backup-simplify]: Simplify 2 into 2
6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.462 * [backup-simplify]: Simplify (+ 0 0) into 0
6.462 * [taylor]: Taking taylor expansion of 0 in im
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify 2 into 2
6.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.464 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.464 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.465 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.465 * [taylor]: Taking taylor expansion of 1/2 in im
6.465 * [backup-simplify]: Simplify 1/2 into 1/2
6.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.465 * [taylor]: Taking taylor expansion of im in im
6.465 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.466 * [backup-simplify]: Simplify (* 1 1) into 1
6.466 * [backup-simplify]: Simplify (/ 1 1) into 1
6.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.467 * [backup-simplify]: Simplify 0 into 0
6.467 * [backup-simplify]: Simplify 0 into 0
6.467 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.469 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.469 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.470 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.470 * [backup-simplify]: Simplify (+ 0 0) into 0
6.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.471 * [backup-simplify]: Simplify (+ 0 0) into 0
6.471 * [taylor]: Taking taylor expansion of 0 in im
6.471 * [backup-simplify]: Simplify 0 into 0
6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.473 * [backup-simplify]: Simplify 0 into 0
6.473 * [backup-simplify]: Simplify 0 into 0
6.473 * [backup-simplify]: Simplify 0 into 0
6.473 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1 1)
6.473 * [backup-simplify]: Simplify (* (cbrt (hypot re im)) (cbrt (hypot re im))) into (pow (pow (hypot re im) 2) 1/3)
6.473 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in (re im) around 0
6.473 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im
6.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im
6.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im
6.473 * [taylor]: Taking taylor expansion of 1/3 in im
6.473 * [backup-simplify]: Simplify 1/3 into 1/3
6.473 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im
6.473 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im
6.473 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.473 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.473 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.473 * [taylor]: Taking taylor expansion of (* re re) in im
6.474 * [taylor]: Taking taylor expansion of re in im
6.474 * [backup-simplify]: Simplify re into re
6.474 * [taylor]: Taking taylor expansion of re in im
6.474 * [backup-simplify]: Simplify re into re
6.474 * [taylor]: Taking taylor expansion of (* im im) in im
6.474 * [taylor]: Taking taylor expansion of im in im
6.474 * [backup-simplify]: Simplify 0 into 0
6.474 * [backup-simplify]: Simplify 1 into 1
6.474 * [taylor]: Taking taylor expansion of im in im
6.474 * [backup-simplify]: Simplify 0 into 0
6.474 * [backup-simplify]: Simplify 1 into 1
6.474 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.474 * [backup-simplify]: Simplify (* 0 0) into 0
6.474 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.474 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.474 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.475 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.475 * [backup-simplify]: Simplify (+ 0 0) into 0
6.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.475 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.475 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
6.475 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
6.476 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
6.476 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re
6.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re
6.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re
6.476 * [taylor]: Taking taylor expansion of 1/3 in re
6.476 * [backup-simplify]: Simplify 1/3 into 1/3
6.476 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re
6.476 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re
6.476 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.476 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.476 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.476 * [taylor]: Taking taylor expansion of (* re re) in re
6.476 * [taylor]: Taking taylor expansion of re in re
6.476 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify 1 into 1
6.476 * [taylor]: Taking taylor expansion of re in re
6.476 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify 1 into 1
6.476 * [taylor]: Taking taylor expansion of (* im im) in re
6.476 * [taylor]: Taking taylor expansion of im in re
6.476 * [backup-simplify]: Simplify im into im
6.476 * [taylor]: Taking taylor expansion of im in re
6.476 * [backup-simplify]: Simplify im into im
6.476 * [backup-simplify]: Simplify (* 0 0) into 0
6.476 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.477 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.477 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.477 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.477 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.477 * [backup-simplify]: Simplify (+ 0 0) into 0
6.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.478 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.478 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.478 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
6.478 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
6.478 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re
6.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re
6.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re
6.478 * [taylor]: Taking taylor expansion of 1/3 in re
6.478 * [backup-simplify]: Simplify 1/3 into 1/3
6.478 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re
6.478 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re
6.478 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.478 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.478 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.478 * [taylor]: Taking taylor expansion of (* re re) in re
6.478 * [taylor]: Taking taylor expansion of re in re
6.478 * [backup-simplify]: Simplify 0 into 0
6.478 * [backup-simplify]: Simplify 1 into 1
6.478 * [taylor]: Taking taylor expansion of re in re
6.478 * [backup-simplify]: Simplify 0 into 0
6.478 * [backup-simplify]: Simplify 1 into 1
6.478 * [taylor]: Taking taylor expansion of (* im im) in re
6.478 * [taylor]: Taking taylor expansion of im in re
6.478 * [backup-simplify]: Simplify im into im
6.478 * [taylor]: Taking taylor expansion of im in re
6.478 * [backup-simplify]: Simplify im into im
6.479 * [backup-simplify]: Simplify (* 0 0) into 0
6.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.479 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.479 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.480 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.480 * [backup-simplify]: Simplify (+ 0 0) into 0
6.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.480 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.480 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
6.480 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
6.480 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
6.480 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
6.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
6.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
6.480 * [taylor]: Taking taylor expansion of 1/3 in im
6.481 * [backup-simplify]: Simplify 1/3 into 1/3
6.481 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
6.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.481 * [taylor]: Taking taylor expansion of im in im
6.481 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify 1 into 1
6.481 * [backup-simplify]: Simplify (* 1 1) into 1
6.481 * [backup-simplify]: Simplify (log 1) into 0
6.482 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
6.482 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
6.482 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
6.482 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
6.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
6.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
6.484 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.484 * [taylor]: Taking taylor expansion of 0 in im
6.484 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.486 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
6.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
6.487 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.489 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.489 * [backup-simplify]: Simplify (+ 1 0) into 1
6.490 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.491 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1
6.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
6.494 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
6.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
6.495 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
6.495 * [taylor]: Taking taylor expansion of 1/3 in im
6.495 * [backup-simplify]: Simplify 1/3 into 1/3
6.495 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
6.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
6.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
6.495 * [taylor]: Taking taylor expansion of 1/3 in im
6.495 * [backup-simplify]: Simplify 1/3 into 1/3
6.495 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
6.495 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.495 * [taylor]: Taking taylor expansion of im in im
6.495 * [backup-simplify]: Simplify 0 into 0
6.495 * [backup-simplify]: Simplify 1 into 1
6.496 * [backup-simplify]: Simplify (* 1 1) into 1
6.496 * [backup-simplify]: Simplify (* 1 1) into 1
6.496 * [backup-simplify]: Simplify (/ 1 1) into 1
6.500 * [backup-simplify]: Simplify (log 1) into 0
6.501 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
6.501 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
6.501 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
6.501 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
6.502 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
6.502 * [backup-simplify]: Simplify 0 into 0
6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.506 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
6.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
6.508 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.508 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.511 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.511 * [backup-simplify]: Simplify (+ 0 0) into 0
6.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.511 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0
6.515 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
6.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
6.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.518 * [taylor]: Taking taylor expansion of 0 in im
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [backup-simplify]: Simplify 0 into 0
6.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.522 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
6.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
6.523 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.524 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.527 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.528 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
6.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
6.529 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.529 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
6.530 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)
6.530 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in (re im) around 0
6.530 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im
6.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im
6.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im
6.530 * [taylor]: Taking taylor expansion of 1/3 in im
6.530 * [backup-simplify]: Simplify 1/3 into 1/3
6.530 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im
6.530 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im
6.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.530 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.530 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.530 * [taylor]: Taking taylor expansion of re in im
6.530 * [backup-simplify]: Simplify re into re
6.530 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.530 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.530 * [taylor]: Taking taylor expansion of re in im
6.530 * [backup-simplify]: Simplify re into re
6.530 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.530 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.531 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.531 * [taylor]: Taking taylor expansion of im in im
6.531 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify 1 into 1
6.531 * [backup-simplify]: Simplify (/ 1 1) into 1
6.531 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.531 * [taylor]: Taking taylor expansion of im in im
6.531 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify 1 into 1
6.531 * [backup-simplify]: Simplify (/ 1 1) into 1
6.532 * [backup-simplify]: Simplify (* 1 1) into 1
6.532 * [backup-simplify]: Simplify (+ 0 1) into 1
6.532 * [backup-simplify]: Simplify (sqrt 1) into 1
6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.534 * [backup-simplify]: Simplify (+ 0 0) into 0
6.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.535 * [backup-simplify]: Simplify (* 1 1) into 1
6.535 * [backup-simplify]: Simplify (log 1) into 0
6.535 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.535 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
6.535 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
6.535 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re
6.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re
6.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re
6.535 * [taylor]: Taking taylor expansion of 1/3 in re
6.535 * [backup-simplify]: Simplify 1/3 into 1/3
6.535 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re
6.535 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re
6.535 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.536 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.536 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.536 * [taylor]: Taking taylor expansion of re in re
6.536 * [backup-simplify]: Simplify 0 into 0
6.536 * [backup-simplify]: Simplify 1 into 1
6.536 * [backup-simplify]: Simplify (/ 1 1) into 1
6.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.536 * [taylor]: Taking taylor expansion of re in re
6.536 * [backup-simplify]: Simplify 0 into 0
6.536 * [backup-simplify]: Simplify 1 into 1
6.536 * [backup-simplify]: Simplify (/ 1 1) into 1
6.536 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.536 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.536 * [taylor]: Taking taylor expansion of im in re
6.536 * [backup-simplify]: Simplify im into im
6.537 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.537 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.537 * [taylor]: Taking taylor expansion of im in re
6.537 * [backup-simplify]: Simplify im into im
6.537 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.537 * [backup-simplify]: Simplify (+ 1 0) into 1
6.537 * [backup-simplify]: Simplify (sqrt 1) into 1
6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.539 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.540 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (log 1) into 0
6.540 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.540 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.540 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.540 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re
6.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re
6.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re
6.540 * [taylor]: Taking taylor expansion of 1/3 in re
6.540 * [backup-simplify]: Simplify 1/3 into 1/3
6.540 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re
6.540 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re
6.540 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.541 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.541 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.541 * [taylor]: Taking taylor expansion of re in re
6.541 * [backup-simplify]: Simplify 0 into 0
6.541 * [backup-simplify]: Simplify 1 into 1
6.541 * [backup-simplify]: Simplify (/ 1 1) into 1
6.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.541 * [taylor]: Taking taylor expansion of re in re
6.541 * [backup-simplify]: Simplify 0 into 0
6.541 * [backup-simplify]: Simplify 1 into 1
6.541 * [backup-simplify]: Simplify (/ 1 1) into 1
6.541 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.541 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.541 * [taylor]: Taking taylor expansion of im in re
6.541 * [backup-simplify]: Simplify im into im
6.541 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.541 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.541 * [taylor]: Taking taylor expansion of im in re
6.541 * [backup-simplify]: Simplify im into im
6.541 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.542 * [backup-simplify]: Simplify (* 1 1) into 1
6.542 * [backup-simplify]: Simplify (+ 1 0) into 1
6.542 * [backup-simplify]: Simplify (sqrt 1) into 1
6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.544 * [backup-simplify]: Simplify (+ 0 0) into 0
6.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.544 * [backup-simplify]: Simplify (* 1 1) into 1
6.545 * [backup-simplify]: Simplify (log 1) into 0
6.545 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.545 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.545 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.545 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
6.545 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
6.545 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
6.545 * [taylor]: Taking taylor expansion of -2/3 in im
6.545 * [backup-simplify]: Simplify -2/3 into -2/3
6.545 * [taylor]: Taking taylor expansion of (log re) in im
6.545 * [taylor]: Taking taylor expansion of re in im
6.545 * [backup-simplify]: Simplify re into re
6.545 * [backup-simplify]: Simplify (log re) into (log re)
6.545 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
6.545 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.546 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
6.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.547 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
6.548 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.548 * [taylor]: Taking taylor expansion of 0 in im
6.548 * [backup-simplify]: Simplify 0 into 0
6.548 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
6.549 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
6.549 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.549 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.552 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.552 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.553 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.554 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2))
6.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.556 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.556 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
6.557 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
6.557 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
6.557 * [taylor]: Taking taylor expansion of 1/3 in im
6.557 * [backup-simplify]: Simplify 1/3 into 1/3
6.557 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
6.557 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
6.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
6.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
6.557 * [taylor]: Taking taylor expansion of 1/3 in im
6.557 * [backup-simplify]: Simplify 1/3 into 1/3
6.557 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
6.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.557 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.557 * [taylor]: Taking taylor expansion of re in im
6.557 * [backup-simplify]: Simplify re into re
6.557 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.557 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.557 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
6.557 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
6.558 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
6.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.558 * [taylor]: Taking taylor expansion of im in im
6.558 * [backup-simplify]: Simplify 0 into 0
6.558 * [backup-simplify]: Simplify 1 into 1
6.558 * [backup-simplify]: Simplify (* 1 1) into 1
6.558 * [backup-simplify]: Simplify (/ 1 1) into 1
6.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.560 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
6.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
6.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.562 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
6.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
6.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
6.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.566 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
6.567 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
6.567 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
6.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
6.567 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify 0 into 0
6.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
6.569 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
6.570 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.570 * [backup-simplify]: Simplify 0 into 0
6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.572 * [backup-simplify]: Simplify (+ 0 0) into 0
6.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
6.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.576 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.579 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.579 * [taylor]: Taking taylor expansion of 0 in im
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
6.579 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)
6.579 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in (re im) around 0
6.579 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im
6.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im
6.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im
6.579 * [taylor]: Taking taylor expansion of 1/3 in im
6.579 * [backup-simplify]: Simplify 1/3 into 1/3
6.579 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im
6.579 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im
6.579 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.579 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.579 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.579 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.579 * [taylor]: Taking taylor expansion of -1 in im
6.579 * [backup-simplify]: Simplify -1 into -1
6.579 * [taylor]: Taking taylor expansion of re in im
6.579 * [backup-simplify]: Simplify re into re
6.579 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.579 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.579 * [taylor]: Taking taylor expansion of -1 in im
6.579 * [backup-simplify]: Simplify -1 into -1
6.579 * [taylor]: Taking taylor expansion of re in im
6.579 * [backup-simplify]: Simplify re into re
6.580 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.580 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.580 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.580 * [taylor]: Taking taylor expansion of -1 in im
6.580 * [backup-simplify]: Simplify -1 into -1
6.580 * [taylor]: Taking taylor expansion of im in im
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [backup-simplify]: Simplify (/ -1 1) into -1
6.580 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.580 * [taylor]: Taking taylor expansion of -1 in im
6.580 * [backup-simplify]: Simplify -1 into -1
6.580 * [taylor]: Taking taylor expansion of im in im
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify 1 into 1
6.580 * [backup-simplify]: Simplify (/ -1 1) into -1
6.581 * [backup-simplify]: Simplify (* -1 -1) into 1
6.581 * [backup-simplify]: Simplify (+ 0 1) into 1
6.581 * [backup-simplify]: Simplify (sqrt 1) into 1
6.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.583 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.583 * [backup-simplify]: Simplify (+ 0 0) into 0
6.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.584 * [backup-simplify]: Simplify (* 1 1) into 1
6.584 * [backup-simplify]: Simplify (log 1) into 0
6.584 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
6.584 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
6.584 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
6.584 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re
6.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re
6.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re
6.584 * [taylor]: Taking taylor expansion of 1/3 in re
6.584 * [backup-simplify]: Simplify 1/3 into 1/3
6.584 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re
6.584 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re
6.584 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.585 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.585 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.585 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.585 * [taylor]: Taking taylor expansion of -1 in re
6.585 * [backup-simplify]: Simplify -1 into -1
6.585 * [taylor]: Taking taylor expansion of re in re
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (/ -1 1) into -1
6.585 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.585 * [taylor]: Taking taylor expansion of -1 in re
6.585 * [backup-simplify]: Simplify -1 into -1
6.585 * [taylor]: Taking taylor expansion of re in re
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (/ -1 1) into -1
6.585 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.585 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.585 * [taylor]: Taking taylor expansion of -1 in re
6.585 * [backup-simplify]: Simplify -1 into -1
6.585 * [taylor]: Taking taylor expansion of im in re
6.585 * [backup-simplify]: Simplify im into im
6.586 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.586 * [taylor]: Taking taylor expansion of -1 in re
6.586 * [backup-simplify]: Simplify -1 into -1
6.586 * [taylor]: Taking taylor expansion of im in re
6.586 * [backup-simplify]: Simplify im into im
6.586 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.586 * [backup-simplify]: Simplify (* -1 -1) into 1
6.586 * [backup-simplify]: Simplify (+ 1 0) into 1
6.586 * [backup-simplify]: Simplify (sqrt 1) into 1
6.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.588 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.588 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.589 * [backup-simplify]: Simplify (* 1 1) into 1
6.589 * [backup-simplify]: Simplify (log 1) into 0
6.589 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.589 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.589 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.589 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re
6.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re
6.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re
6.589 * [taylor]: Taking taylor expansion of 1/3 in re
6.590 * [backup-simplify]: Simplify 1/3 into 1/3
6.590 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re
6.590 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re
6.590 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.590 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.590 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.590 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.590 * [taylor]: Taking taylor expansion of -1 in re
6.590 * [backup-simplify]: Simplify -1 into -1
6.590 * [taylor]: Taking taylor expansion of re in re
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 1 into 1
6.590 * [backup-simplify]: Simplify (/ -1 1) into -1
6.590 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.590 * [taylor]: Taking taylor expansion of -1 in re
6.590 * [backup-simplify]: Simplify -1 into -1
6.590 * [taylor]: Taking taylor expansion of re in re
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 1 into 1
6.590 * [backup-simplify]: Simplify (/ -1 1) into -1
6.590 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.590 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.591 * [taylor]: Taking taylor expansion of -1 in re
6.591 * [backup-simplify]: Simplify -1 into -1
6.591 * [taylor]: Taking taylor expansion of im in re
6.591 * [backup-simplify]: Simplify im into im
6.591 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.591 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.591 * [taylor]: Taking taylor expansion of -1 in re
6.591 * [backup-simplify]: Simplify -1 into -1
6.591 * [taylor]: Taking taylor expansion of im in re
6.591 * [backup-simplify]: Simplify im into im
6.591 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.591 * [backup-simplify]: Simplify (* -1 -1) into 1
6.591 * [backup-simplify]: Simplify (+ 1 0) into 1
6.591 * [backup-simplify]: Simplify (sqrt 1) into 1
6.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.593 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.593 * [backup-simplify]: Simplify (+ 0 0) into 0
6.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.594 * [backup-simplify]: Simplify (* 1 1) into 1
6.594 * [backup-simplify]: Simplify (log 1) into 0
6.594 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.595 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
6.595 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.595 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
6.595 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
6.595 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
6.595 * [taylor]: Taking taylor expansion of -2/3 in im
6.595 * [backup-simplify]: Simplify -2/3 into -2/3
6.595 * [taylor]: Taking taylor expansion of (log re) in im
6.595 * [taylor]: Taking taylor expansion of re in im
6.595 * [backup-simplify]: Simplify re into re
6.595 * [backup-simplify]: Simplify (log re) into (log re)
6.595 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
6.595 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
6.595 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
6.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.596 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
6.597 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.597 * [taylor]: Taking taylor expansion of 0 in im
6.597 * [backup-simplify]: Simplify 0 into 0
6.597 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
6.598 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
6.599 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.599 * [backup-simplify]: Simplify 0 into 0
6.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.601 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.601 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.601 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.602 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.602 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2))
6.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
6.605 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.605 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
6.606 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
6.606 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
6.606 * [taylor]: Taking taylor expansion of 1/3 in im
6.606 * [backup-simplify]: Simplify 1/3 into 1/3
6.606 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
6.606 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
6.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
6.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
6.606 * [taylor]: Taking taylor expansion of 1/3 in im
6.606 * [backup-simplify]: Simplify 1/3 into 1/3
6.606 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
6.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.606 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.606 * [taylor]: Taking taylor expansion of re in im
6.606 * [backup-simplify]: Simplify re into re
6.606 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.606 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.606 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
6.607 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
6.607 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
6.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.607 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.607 * [taylor]: Taking taylor expansion of im in im
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify (* 1 1) into 1
6.607 * [backup-simplify]: Simplify (/ 1 1) into 1
6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.609 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
6.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
6.611 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.611 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
6.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
6.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
6.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.615 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
6.615 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
6.615 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
6.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
6.616 * [backup-simplify]: Simplify 0 into 0
6.616 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
6.618 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
6.619 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.619 * [backup-simplify]: Simplify 0 into 0
6.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.621 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.621 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.621 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.621 * [backup-simplify]: Simplify (+ 0 0) into 0
6.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
6.624 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.625 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
6.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
6.627 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.627 * [taylor]: Taking taylor expansion of 0 in im
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
6.627 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
6.627 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) into (hypot re im)
6.627 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
6.627 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.627 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.627 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.627 * [taylor]: Taking taylor expansion of (* re re) in im
6.628 * [taylor]: Taking taylor expansion of re in im
6.628 * [backup-simplify]: Simplify re into re
6.628 * [taylor]: Taking taylor expansion of re in im
6.628 * [backup-simplify]: Simplify re into re
6.628 * [taylor]: Taking taylor expansion of (* im im) in im
6.628 * [taylor]: Taking taylor expansion of im in im
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 1 into 1
6.628 * [taylor]: Taking taylor expansion of im in im
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 1 into 1
6.628 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.628 * [backup-simplify]: Simplify (* 0 0) into 0
6.628 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.628 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.628 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.629 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.629 * [backup-simplify]: Simplify (+ 0 0) into 0
6.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.629 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.629 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.629 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.629 * [taylor]: Taking taylor expansion of (* re re) in re
6.629 * [taylor]: Taking taylor expansion of re in re
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 1 into 1
6.629 * [taylor]: Taking taylor expansion of re in re
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 1 into 1
6.629 * [taylor]: Taking taylor expansion of (* im im) in re
6.629 * [taylor]: Taking taylor expansion of im in re
6.629 * [backup-simplify]: Simplify im into im
6.629 * [taylor]: Taking taylor expansion of im in re
6.629 * [backup-simplify]: Simplify im into im
6.630 * [backup-simplify]: Simplify (* 0 0) into 0
6.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.630 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.630 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.630 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.630 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.630 * [backup-simplify]: Simplify (+ 0 0) into 0
6.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.631 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.631 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.631 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.631 * [taylor]: Taking taylor expansion of (* re re) in re
6.631 * [taylor]: Taking taylor expansion of re in re
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 1 into 1
6.631 * [taylor]: Taking taylor expansion of re in re
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 1 into 1
6.631 * [taylor]: Taking taylor expansion of (* im im) in re
6.631 * [taylor]: Taking taylor expansion of im in re
6.631 * [backup-simplify]: Simplify im into im
6.631 * [taylor]: Taking taylor expansion of im in re
6.631 * [backup-simplify]: Simplify im into im
6.631 * [backup-simplify]: Simplify (* 0 0) into 0
6.631 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.631 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.631 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.632 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.632 * [backup-simplify]: Simplify (+ 0 0) into 0
6.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.632 * [taylor]: Taking taylor expansion of im in im
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify 1 into 1
6.633 * [backup-simplify]: Simplify 0 into 0
6.633 * [taylor]: Taking taylor expansion of 0 in im
6.633 * [backup-simplify]: Simplify 0 into 0
6.633 * [backup-simplify]: Simplify 0 into 0
6.633 * [backup-simplify]: Simplify 1 into 1
6.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.633 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.634 * [backup-simplify]: Simplify (+ 1 0) into 1
6.634 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.634 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.634 * [taylor]: Taking taylor expansion of 1/2 in im
6.634 * [backup-simplify]: Simplify 1/2 into 1/2
6.634 * [taylor]: Taking taylor expansion of im in im
6.634 * [backup-simplify]: Simplify 0 into 0
6.634 * [backup-simplify]: Simplify 1 into 1
6.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.635 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify 0 into 0
6.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.638 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.638 * [backup-simplify]: Simplify (+ 0 0) into 0
6.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.638 * [taylor]: Taking taylor expansion of 0 in im
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.640 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) into (hypot (/ 1 re) (/ 1 im))
6.640 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
6.640 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.640 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.640 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.640 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.640 * [taylor]: Taking taylor expansion of re in im
6.640 * [backup-simplify]: Simplify re into re
6.640 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.641 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.641 * [taylor]: Taking taylor expansion of re in im
6.641 * [backup-simplify]: Simplify re into re
6.641 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.641 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.641 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.641 * [taylor]: Taking taylor expansion of im in im
6.641 * [backup-simplify]: Simplify 0 into 0
6.641 * [backup-simplify]: Simplify 1 into 1
6.641 * [backup-simplify]: Simplify (/ 1 1) into 1
6.641 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.641 * [taylor]: Taking taylor expansion of im in im
6.641 * [backup-simplify]: Simplify 0 into 0
6.641 * [backup-simplify]: Simplify 1 into 1
6.642 * [backup-simplify]: Simplify (/ 1 1) into 1
6.642 * [backup-simplify]: Simplify (* 1 1) into 1
6.643 * [backup-simplify]: Simplify (+ 0 1) into 1
6.643 * [backup-simplify]: Simplify (sqrt 1) into 1
6.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.646 * [backup-simplify]: Simplify (+ 0 0) into 0
6.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.646 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.647 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.647 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.647 * [taylor]: Taking taylor expansion of re in re
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.647 * [backup-simplify]: Simplify (/ 1 1) into 1
6.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.647 * [taylor]: Taking taylor expansion of re in re
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.647 * [backup-simplify]: Simplify (/ 1 1) into 1
6.647 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.647 * [taylor]: Taking taylor expansion of im in re
6.647 * [backup-simplify]: Simplify im into im
6.647 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.647 * [taylor]: Taking taylor expansion of im in re
6.647 * [backup-simplify]: Simplify im into im
6.648 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.648 * [backup-simplify]: Simplify (* 1 1) into 1
6.648 * [backup-simplify]: Simplify (+ 1 0) into 1
6.648 * [backup-simplify]: Simplify (sqrt 1) into 1
6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.650 * [backup-simplify]: Simplify (+ 0 0) into 0
6.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.650 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.650 * [taylor]: Taking taylor expansion of re in re
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.651 * [backup-simplify]: Simplify (/ 1 1) into 1
6.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.651 * [taylor]: Taking taylor expansion of re in re
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 1 into 1
6.651 * [backup-simplify]: Simplify (/ 1 1) into 1
6.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.651 * [taylor]: Taking taylor expansion of im in re
6.651 * [backup-simplify]: Simplify im into im
6.651 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.651 * [taylor]: Taking taylor expansion of im in re
6.651 * [backup-simplify]: Simplify im into im
6.651 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.651 * [backup-simplify]: Simplify (* 1 1) into 1
6.652 * [backup-simplify]: Simplify (+ 1 0) into 1
6.652 * [backup-simplify]: Simplify (sqrt 1) into 1
6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.654 * [backup-simplify]: Simplify (+ 0 0) into 0
6.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.654 * [taylor]: Taking taylor expansion of 1 in im
6.654 * [backup-simplify]: Simplify 1 into 1
6.654 * [taylor]: Taking taylor expansion of 0 in im
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 1 into 1
6.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.656 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.656 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.657 * [taylor]: Taking taylor expansion of 1/2 in im
6.657 * [backup-simplify]: Simplify 1/2 into 1/2
6.657 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.657 * [taylor]: Taking taylor expansion of im in im
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify 1 into 1
6.657 * [backup-simplify]: Simplify (* 1 1) into 1
6.658 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.661 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.661 * [backup-simplify]: Simplify (+ 0 0) into 0
6.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.661 * [taylor]: Taking taylor expansion of 0 in im
6.661 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.663 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (hypot (/ -1 re) (/ -1 im))
6.663 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
6.663 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.664 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.664 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.664 * [taylor]: Taking taylor expansion of -1 in im
6.664 * [backup-simplify]: Simplify -1 into -1
6.664 * [taylor]: Taking taylor expansion of re in im
6.664 * [backup-simplify]: Simplify re into re
6.664 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.664 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.664 * [taylor]: Taking taylor expansion of -1 in im
6.664 * [backup-simplify]: Simplify -1 into -1
6.664 * [taylor]: Taking taylor expansion of re in im
6.664 * [backup-simplify]: Simplify re into re
6.664 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.664 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.664 * [taylor]: Taking taylor expansion of -1 in im
6.664 * [backup-simplify]: Simplify -1 into -1
6.664 * [taylor]: Taking taylor expansion of im in im
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 1 into 1
6.664 * [backup-simplify]: Simplify (/ -1 1) into -1
6.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.664 * [taylor]: Taking taylor expansion of -1 in im
6.664 * [backup-simplify]: Simplify -1 into -1
6.664 * [taylor]: Taking taylor expansion of im in im
6.664 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [backup-simplify]: Simplify (/ -1 1) into -1
6.665 * [backup-simplify]: Simplify (* -1 -1) into 1
6.665 * [backup-simplify]: Simplify (+ 0 1) into 1
6.666 * [backup-simplify]: Simplify (sqrt 1) into 1
6.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.667 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.667 * [backup-simplify]: Simplify (+ 0 0) into 0
6.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.668 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.668 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.668 * [taylor]: Taking taylor expansion of -1 in re
6.668 * [backup-simplify]: Simplify -1 into -1
6.668 * [taylor]: Taking taylor expansion of re in re
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify 1 into 1
6.668 * [backup-simplify]: Simplify (/ -1 1) into -1
6.668 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.668 * [taylor]: Taking taylor expansion of -1 in re
6.668 * [backup-simplify]: Simplify -1 into -1
6.669 * [taylor]: Taking taylor expansion of re in re
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (/ -1 1) into -1
6.669 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.669 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.669 * [taylor]: Taking taylor expansion of -1 in re
6.669 * [backup-simplify]: Simplify -1 into -1
6.669 * [taylor]: Taking taylor expansion of im in re
6.669 * [backup-simplify]: Simplify im into im
6.669 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.669 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.669 * [taylor]: Taking taylor expansion of -1 in re
6.669 * [backup-simplify]: Simplify -1 into -1
6.669 * [taylor]: Taking taylor expansion of im in re
6.669 * [backup-simplify]: Simplify im into im
6.669 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.669 * [backup-simplify]: Simplify (* -1 -1) into 1
6.670 * [backup-simplify]: Simplify (+ 1 0) into 1
6.670 * [backup-simplify]: Simplify (sqrt 1) into 1
6.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.672 * [backup-simplify]: Simplify (+ 0 0) into 0
6.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.672 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.672 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.672 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.672 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.672 * [taylor]: Taking taylor expansion of -1 in re
6.672 * [backup-simplify]: Simplify -1 into -1
6.672 * [taylor]: Taking taylor expansion of re in re
6.672 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify 1 into 1
6.673 * [backup-simplify]: Simplify (/ -1 1) into -1
6.673 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.673 * [taylor]: Taking taylor expansion of -1 in re
6.673 * [backup-simplify]: Simplify -1 into -1
6.673 * [taylor]: Taking taylor expansion of re in re
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 1 into 1
6.673 * [backup-simplify]: Simplify (/ -1 1) into -1
6.673 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.673 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.673 * [taylor]: Taking taylor expansion of -1 in re
6.673 * [backup-simplify]: Simplify -1 into -1
6.673 * [taylor]: Taking taylor expansion of im in re
6.673 * [backup-simplify]: Simplify im into im
6.673 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.673 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.673 * [taylor]: Taking taylor expansion of -1 in re
6.673 * [backup-simplify]: Simplify -1 into -1
6.673 * [taylor]: Taking taylor expansion of im in re
6.673 * [backup-simplify]: Simplify im into im
6.673 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.674 * [backup-simplify]: Simplify (* -1 -1) into 1
6.674 * [backup-simplify]: Simplify (+ 1 0) into 1
6.674 * [backup-simplify]: Simplify (sqrt 1) into 1
6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.676 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.676 * [backup-simplify]: Simplify (+ 0 0) into 0
6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.676 * [taylor]: Taking taylor expansion of 1 in im
6.676 * [backup-simplify]: Simplify 1 into 1
6.676 * [taylor]: Taking taylor expansion of 0 in im
6.676 * [backup-simplify]: Simplify 0 into 0
6.676 * [backup-simplify]: Simplify 1 into 1
6.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.678 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.679 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.679 * [taylor]: Taking taylor expansion of 1/2 in im
6.679 * [backup-simplify]: Simplify 1/2 into 1/2
6.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.679 * [taylor]: Taking taylor expansion of im in im
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (* 1 1) into 1
6.680 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.683 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.683 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.683 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.683 * [backup-simplify]: Simplify (+ 0 0) into 0
6.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.684 * [taylor]: Taking taylor expansion of 0 in im
6.684 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.685 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1 2)
6.685 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
6.685 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
6.685 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
6.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
6.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
6.686 * [taylor]: Taking taylor expansion of 1/3 in im
6.686 * [backup-simplify]: Simplify 1/3 into 1/3
6.686 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
6.686 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.686 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.686 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.686 * [taylor]: Taking taylor expansion of (* re re) in im
6.686 * [taylor]: Taking taylor expansion of re in im
6.686 * [backup-simplify]: Simplify re into re
6.686 * [taylor]: Taking taylor expansion of re in im
6.686 * [backup-simplify]: Simplify re into re
6.686 * [taylor]: Taking taylor expansion of (* im im) in im
6.686 * [taylor]: Taking taylor expansion of im in im
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [taylor]: Taking taylor expansion of im in im
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.686 * [backup-simplify]: Simplify (* 0 0) into 0
6.686 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.686 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.686 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.687 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.687 * [backup-simplify]: Simplify (+ 0 0) into 0
6.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.687 * [backup-simplify]: Simplify (log re) into (log re)
6.687 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
6.687 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
6.687 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
6.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
6.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
6.687 * [taylor]: Taking taylor expansion of 1/3 in re
6.687 * [backup-simplify]: Simplify 1/3 into 1/3
6.687 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
6.687 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.688 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.688 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.688 * [taylor]: Taking taylor expansion of (* re re) in re
6.688 * [taylor]: Taking taylor expansion of re in re
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify 1 into 1
6.688 * [taylor]: Taking taylor expansion of re in re
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify 1 into 1
6.688 * [taylor]: Taking taylor expansion of (* im im) in re
6.688 * [taylor]: Taking taylor expansion of im in re
6.688 * [backup-simplify]: Simplify im into im
6.688 * [taylor]: Taking taylor expansion of im in re
6.688 * [backup-simplify]: Simplify im into im
6.688 * [backup-simplify]: Simplify (* 0 0) into 0
6.688 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.688 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.688 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.689 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.689 * [backup-simplify]: Simplify (+ 0 0) into 0
6.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.689 * [backup-simplify]: Simplify (log im) into (log im)
6.689 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
6.689 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
6.689 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
6.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
6.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
6.689 * [taylor]: Taking taylor expansion of 1/3 in re
6.689 * [backup-simplify]: Simplify 1/3 into 1/3
6.689 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
6.689 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.689 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.689 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.689 * [taylor]: Taking taylor expansion of (* re re) in re
6.689 * [taylor]: Taking taylor expansion of re in re
6.690 * [backup-simplify]: Simplify 0 into 0
6.690 * [backup-simplify]: Simplify 1 into 1
6.690 * [taylor]: Taking taylor expansion of re in re
6.690 * [backup-simplify]: Simplify 0 into 0
6.690 * [backup-simplify]: Simplify 1 into 1
6.690 * [taylor]: Taking taylor expansion of (* im im) in re
6.690 * [taylor]: Taking taylor expansion of im in re
6.690 * [backup-simplify]: Simplify im into im
6.690 * [taylor]: Taking taylor expansion of im in re
6.690 * [backup-simplify]: Simplify im into im
6.690 * [backup-simplify]: Simplify (* 0 0) into 0
6.690 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.690 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.690 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.691 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.691 * [backup-simplify]: Simplify (log im) into (log im)
6.691 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
6.691 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
6.691 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
6.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
6.691 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
6.691 * [taylor]: Taking taylor expansion of 1/3 in im
6.691 * [backup-simplify]: Simplify 1/3 into 1/3
6.691 * [taylor]: Taking taylor expansion of (log im) in im
6.691 * [taylor]: Taking taylor expansion of im in im
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 1 into 1
6.692 * [backup-simplify]: Simplify (log 1) into 0
6.692 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
6.692 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
6.692 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
6.692 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
6.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
6.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
6.694 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.694 * [taylor]: Taking taylor expansion of 0 in im
6.694 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.695 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
6.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
6.696 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.696 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.697 * [backup-simplify]: Simplify (+ 1 0) into 1
6.697 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
6.698 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
6.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
6.699 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
6.699 * [taylor]: Taking taylor expansion of 1/6 in im
6.699 * [backup-simplify]: Simplify 1/6 into 1/6
6.699 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
6.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
6.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
6.699 * [taylor]: Taking taylor expansion of 1/3 in im
6.699 * [backup-simplify]: Simplify 1/3 into 1/3
6.699 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
6.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
6.699 * [taylor]: Taking taylor expansion of (pow im 5) in im
6.699 * [taylor]: Taking taylor expansion of im in im
6.699 * [backup-simplify]: Simplify 0 into 0
6.699 * [backup-simplify]: Simplify 1 into 1
6.700 * [backup-simplify]: Simplify (* 1 1) into 1
6.700 * [backup-simplify]: Simplify (* 1 1) into 1
6.700 * [backup-simplify]: Simplify (* 1 1) into 1
6.700 * [backup-simplify]: Simplify (/ 1 1) into 1
6.701 * [backup-simplify]: Simplify (log 1) into 0
6.701 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.701 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
6.701 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
6.701 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
6.701 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
6.701 * [backup-simplify]: Simplify 0 into 0
6.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
6.703 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
6.704 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
6.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.706 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.707 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.709 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
6.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
6.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.712 * [taylor]: Taking taylor expansion of 0 in im
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.714 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
6.715 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
6.715 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
6.716 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.719 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
6.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
6.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.722 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
6.723 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
6.723 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
6.723 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
6.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
6.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
6.723 * [taylor]: Taking taylor expansion of 1/3 in im
6.723 * [backup-simplify]: Simplify 1/3 into 1/3
6.723 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
6.723 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.723 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.724 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.724 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.724 * [taylor]: Taking taylor expansion of re in im
6.724 * [backup-simplify]: Simplify re into re
6.724 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.724 * [taylor]: Taking taylor expansion of re in im
6.724 * [backup-simplify]: Simplify re into re
6.724 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.724 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.724 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.724 * [taylor]: Taking taylor expansion of im in im
6.724 * [backup-simplify]: Simplify 0 into 0
6.724 * [backup-simplify]: Simplify 1 into 1
6.725 * [backup-simplify]: Simplify (/ 1 1) into 1
6.725 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.725 * [taylor]: Taking taylor expansion of im in im
6.725 * [backup-simplify]: Simplify 0 into 0
6.725 * [backup-simplify]: Simplify 1 into 1
6.725 * [backup-simplify]: Simplify (/ 1 1) into 1
6.726 * [backup-simplify]: Simplify (* 1 1) into 1
6.726 * [backup-simplify]: Simplify (+ 0 1) into 1
6.726 * [backup-simplify]: Simplify (sqrt 1) into 1
6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.729 * [backup-simplify]: Simplify (+ 0 0) into 0
6.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.730 * [backup-simplify]: Simplify (log 1) into 0
6.731 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
6.731 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
6.731 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
6.731 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
6.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
6.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
6.731 * [taylor]: Taking taylor expansion of 1/3 in re
6.731 * [backup-simplify]: Simplify 1/3 into 1/3
6.731 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
6.731 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.732 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.732 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.732 * [taylor]: Taking taylor expansion of re in re
6.732 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify 1 into 1
6.732 * [backup-simplify]: Simplify (/ 1 1) into 1
6.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.732 * [taylor]: Taking taylor expansion of re in re
6.732 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify 1 into 1
6.733 * [backup-simplify]: Simplify (/ 1 1) into 1
6.733 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.733 * [taylor]: Taking taylor expansion of im in re
6.733 * [backup-simplify]: Simplify im into im
6.733 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.733 * [taylor]: Taking taylor expansion of im in re
6.733 * [backup-simplify]: Simplify im into im
6.733 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.734 * [backup-simplify]: Simplify (* 1 1) into 1
6.734 * [backup-simplify]: Simplify (+ 1 0) into 1
6.735 * [backup-simplify]: Simplify (sqrt 1) into 1
6.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.737 * [backup-simplify]: Simplify (+ 0 0) into 0
6.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.738 * [backup-simplify]: Simplify (log 1) into 0
6.739 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.739 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
6.739 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
6.739 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
6.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
6.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
6.739 * [taylor]: Taking taylor expansion of 1/3 in re
6.739 * [backup-simplify]: Simplify 1/3 into 1/3
6.739 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
6.739 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.739 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.739 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.739 * [taylor]: Taking taylor expansion of re in re
6.739 * [backup-simplify]: Simplify 0 into 0
6.739 * [backup-simplify]: Simplify 1 into 1
6.740 * [backup-simplify]: Simplify (/ 1 1) into 1
6.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.740 * [taylor]: Taking taylor expansion of re in re
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 1 into 1
6.740 * [backup-simplify]: Simplify (/ 1 1) into 1
6.740 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.740 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.740 * [taylor]: Taking taylor expansion of im in re
6.740 * [backup-simplify]: Simplify im into im
6.740 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.740 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.740 * [taylor]: Taking taylor expansion of im in re
6.741 * [backup-simplify]: Simplify im into im
6.741 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.741 * [backup-simplify]: Simplify (* 1 1) into 1
6.741 * [backup-simplify]: Simplify (+ 1 0) into 1
6.742 * [backup-simplify]: Simplify (sqrt 1) into 1
6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.745 * [backup-simplify]: Simplify (+ 0 0) into 0
6.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.746 * [backup-simplify]: Simplify (log 1) into 0
6.746 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.746 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
6.746 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
6.746 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
6.746 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
6.747 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
6.747 * [taylor]: Taking taylor expansion of -1/3 in im
6.747 * [backup-simplify]: Simplify -1/3 into -1/3
6.747 * [taylor]: Taking taylor expansion of (log re) in im
6.747 * [taylor]: Taking taylor expansion of re in im
6.747 * [backup-simplify]: Simplify re into re
6.747 * [backup-simplify]: Simplify (log re) into (log re)
6.747 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
6.747 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
6.747 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
6.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.749 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.750 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
6.751 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.751 * [taylor]: Taking taylor expansion of 0 in im
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 0 into 0
6.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
6.752 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
6.753 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.753 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.756 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.758 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
6.760 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.761 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
6.762 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
6.762 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
6.762 * [taylor]: Taking taylor expansion of 1/6 in im
6.762 * [backup-simplify]: Simplify 1/6 into 1/6
6.762 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
6.762 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
6.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
6.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
6.762 * [taylor]: Taking taylor expansion of 1/3 in im
6.762 * [backup-simplify]: Simplify 1/3 into 1/3
6.762 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
6.762 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.762 * [taylor]: Taking taylor expansion of re in im
6.762 * [backup-simplify]: Simplify re into re
6.763 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.763 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
6.763 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
6.763 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
6.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.763 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.763 * [taylor]: Taking taylor expansion of im in im
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.763 * [backup-simplify]: Simplify (* 1 1) into 1
6.764 * [backup-simplify]: Simplify (/ 1 1) into 1
6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
6.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
6.770 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
6.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
6.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
6.774 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.775 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
6.776 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
6.776 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
6.777 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
6.777 * [backup-simplify]: Simplify 0 into 0
6.777 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
6.780 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
6.781 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.782 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.788 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.789 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
6.791 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.791 * [taylor]: Taking taylor expansion of 0 in im
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
6.791 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
6.791 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
6.791 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
6.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
6.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
6.791 * [taylor]: Taking taylor expansion of 1/3 in im
6.791 * [backup-simplify]: Simplify 1/3 into 1/3
6.791 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
6.791 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.791 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.791 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.791 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.791 * [taylor]: Taking taylor expansion of -1 in im
6.791 * [backup-simplify]: Simplify -1 into -1
6.791 * [taylor]: Taking taylor expansion of re in im
6.791 * [backup-simplify]: Simplify re into re
6.791 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.791 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.791 * [taylor]: Taking taylor expansion of -1 in im
6.791 * [backup-simplify]: Simplify -1 into -1
6.791 * [taylor]: Taking taylor expansion of re in im
6.791 * [backup-simplify]: Simplify re into re
6.791 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.792 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.792 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.792 * [taylor]: Taking taylor expansion of -1 in im
6.792 * [backup-simplify]: Simplify -1 into -1
6.792 * [taylor]: Taking taylor expansion of im in im
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 1 into 1
6.792 * [backup-simplify]: Simplify (/ -1 1) into -1
6.792 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.792 * [taylor]: Taking taylor expansion of -1 in im
6.792 * [backup-simplify]: Simplify -1 into -1
6.792 * [taylor]: Taking taylor expansion of im in im
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 1 into 1
6.792 * [backup-simplify]: Simplify (/ -1 1) into -1
6.792 * [backup-simplify]: Simplify (* -1 -1) into 1
6.793 * [backup-simplify]: Simplify (+ 0 1) into 1
6.793 * [backup-simplify]: Simplify (sqrt 1) into 1
6.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.795 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.795 * [backup-simplify]: Simplify (+ 0 0) into 0
6.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.796 * [backup-simplify]: Simplify (log 1) into 0
6.796 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
6.796 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
6.796 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
6.796 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
6.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
6.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
6.796 * [taylor]: Taking taylor expansion of 1/3 in re
6.796 * [backup-simplify]: Simplify 1/3 into 1/3
6.796 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
6.796 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.796 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.796 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.796 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.796 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.796 * [taylor]: Taking taylor expansion of -1 in re
6.796 * [backup-simplify]: Simplify -1 into -1
6.796 * [taylor]: Taking taylor expansion of re in re
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 1 into 1
6.797 * [backup-simplify]: Simplify (/ -1 1) into -1
6.797 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.797 * [taylor]: Taking taylor expansion of -1 in re
6.797 * [backup-simplify]: Simplify -1 into -1
6.797 * [taylor]: Taking taylor expansion of re in re
6.797 * [backup-simplify]: Simplify 0 into 0
6.797 * [backup-simplify]: Simplify 1 into 1
6.797 * [backup-simplify]: Simplify (/ -1 1) into -1
6.797 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.797 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.797 * [taylor]: Taking taylor expansion of -1 in re
6.797 * [backup-simplify]: Simplify -1 into -1
6.797 * [taylor]: Taking taylor expansion of im in re
6.797 * [backup-simplify]: Simplify im into im
6.797 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.797 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.797 * [taylor]: Taking taylor expansion of -1 in re
6.797 * [backup-simplify]: Simplify -1 into -1
6.797 * [taylor]: Taking taylor expansion of im in re
6.797 * [backup-simplify]: Simplify im into im
6.797 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.797 * [backup-simplify]: Simplify (* -1 -1) into 1
6.798 * [backup-simplify]: Simplify (+ 1 0) into 1
6.798 * [backup-simplify]: Simplify (sqrt 1) into 1
6.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.800 * [backup-simplify]: Simplify (+ 0 0) into 0
6.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.800 * [backup-simplify]: Simplify (log 1) into 0
6.801 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.801 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
6.801 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
6.801 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
6.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
6.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
6.801 * [taylor]: Taking taylor expansion of 1/3 in re
6.801 * [backup-simplify]: Simplify 1/3 into 1/3
6.801 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
6.801 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.801 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.801 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.801 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.801 * [taylor]: Taking taylor expansion of -1 in re
6.801 * [backup-simplify]: Simplify -1 into -1
6.801 * [taylor]: Taking taylor expansion of re in re
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify 1 into 1
6.801 * [backup-simplify]: Simplify (/ -1 1) into -1
6.801 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.801 * [taylor]: Taking taylor expansion of -1 in re
6.801 * [backup-simplify]: Simplify -1 into -1
6.801 * [taylor]: Taking taylor expansion of re in re
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify 1 into 1
6.802 * [backup-simplify]: Simplify (/ -1 1) into -1
6.802 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.802 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.802 * [taylor]: Taking taylor expansion of -1 in re
6.802 * [backup-simplify]: Simplify -1 into -1
6.802 * [taylor]: Taking taylor expansion of im in re
6.802 * [backup-simplify]: Simplify im into im
6.802 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.802 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.802 * [taylor]: Taking taylor expansion of -1 in re
6.802 * [backup-simplify]: Simplify -1 into -1
6.802 * [taylor]: Taking taylor expansion of im in re
6.802 * [backup-simplify]: Simplify im into im
6.802 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.802 * [backup-simplify]: Simplify (* -1 -1) into 1
6.803 * [backup-simplify]: Simplify (+ 1 0) into 1
6.803 * [backup-simplify]: Simplify (sqrt 1) into 1
6.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.804 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.805 * [backup-simplify]: Simplify (+ 0 0) into 0
6.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.805 * [backup-simplify]: Simplify (log 1) into 0
6.806 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.806 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
6.806 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
6.806 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
6.806 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
6.806 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
6.806 * [taylor]: Taking taylor expansion of -1/3 in im
6.806 * [backup-simplify]: Simplify -1/3 into -1/3
6.806 * [taylor]: Taking taylor expansion of (log re) in im
6.806 * [taylor]: Taking taylor expansion of re in im
6.806 * [backup-simplify]: Simplify re into re
6.806 * [backup-simplify]: Simplify (log re) into (log re)
6.806 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
6.806 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
6.806 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
6.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
6.807 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.808 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
6.808 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.808 * [taylor]: Taking taylor expansion of 0 in im
6.808 * [backup-simplify]: Simplify 0 into 0
6.808 * [backup-simplify]: Simplify 0 into 0
6.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
6.809 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
6.810 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.811 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.812 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.812 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
6.814 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.815 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
6.815 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
6.815 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
6.815 * [taylor]: Taking taylor expansion of 1/6 in im
6.815 * [backup-simplify]: Simplify 1/6 into 1/6
6.815 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
6.815 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
6.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
6.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
6.815 * [taylor]: Taking taylor expansion of 1/3 in im
6.815 * [backup-simplify]: Simplify 1/3 into 1/3
6.815 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
6.815 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.815 * [taylor]: Taking taylor expansion of re in im
6.815 * [backup-simplify]: Simplify re into re
6.815 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.816 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
6.816 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
6.816 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
6.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.816 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.816 * [taylor]: Taking taylor expansion of im in im
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 1 into 1
6.816 * [backup-simplify]: Simplify (* 1 1) into 1
6.816 * [backup-simplify]: Simplify (/ 1 1) into 1
6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
6.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
6.820 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
6.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
6.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
6.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
6.823 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
6.823 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
6.824 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
6.824 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify 0 into 0
6.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
6.828 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
6.829 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.833 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.833 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.833 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.834 * [backup-simplify]: Simplify (+ 0 0) into 0
6.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.838 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
6.838 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
6.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
6.842 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.842 * [taylor]: Taking taylor expansion of 0 in im
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
6.842 * * * [progress]: simplifying candidates
6.845 * [simplify]: Simplifying:
  (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (log1p (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (- re)
  (/ (exp (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (exp re))
  (log (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (exp (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)))
  (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (* (* (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))
  (- (pow (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) 3) (pow re 3))
  (+ (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)))
  (- re)
  (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* re re))
  (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)
  (- re)
  (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (+ 1 1)
  (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (exp (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* 1 1)
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt 1))
  (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))))
  (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (cbrt (hypot re im)) 1)
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (expm1 (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (log1p (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (+ 1/2 (/ (+ (+ 1/3 1/3) 1/3) 2))
  (+ 1/2 (/ (+ (* 2 1/3) 1/3) 2))
  (+ (/ 1 2) (/ (+ (+ 1/3 1/3) 1/3) 2))
  (+ (/ 1 2) (/ (+ (* 2 1/3) 1/3) 2))
  (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))
  (+ (log (sqrt (hypot re im))) (log (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (log (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (exp (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (cbrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt 1)
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (- im re)
  0
  (* -2 re)
  (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  im
  re
  (* -1 re)
  (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
6.849 * * [simplify]: iteration 0: 166 enodes
6.903 * * [simplify]: iteration 1: 369 enodes
7.116 * * [simplify]: iteration 2: 1434 enodes
7.919 * * [simplify]: iteration complete: 5000 enodes
7.919 * * [simplify]: Extracting #0: cost 67 inf + 0
7.921 * * [simplify]: Extracting #1: cost 979 inf + 348
7.942 * * [simplify]: Extracting #2: cost 1192 inf + 60043
7.980 * * [simplify]: Extracting #3: cost 624 inf + 197915
8.051 * * [simplify]: Extracting #4: cost 178 inf + 291958
8.124 * * [simplify]: Extracting #5: cost 90 inf + 312115
8.190 * * [simplify]: Extracting #6: cost 13 inf + 340087
8.286 * * [simplify]: Extracting #7: cost 1 inf + 342108
8.342 * * [simplify]: Extracting #8: cost 0 inf + 342361
8.434 * [simplify]: Simplified to:
  (- (hypot re im) re)
  (fma -1 re re)
  (- (hypot re im) re)
  (fma -1 re re)
  (- (hypot re im) re)
  (fma -1 re re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (hypot re im) (* (hypot re im) (hypot re im))) (* re (* re re)))
  (fma re (+ (hypot re im) re) (* (hypot re im) (hypot re im)))
  (- re)
  (* (+ (hypot re im) re) (- (hypot re im) re))
  (+ (hypot re im) re)
  (- re)
  (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  2/3
  2
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  2
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (exp (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (fabs (cbrt (hypot re im)))
  (fabs (cbrt (hypot re im)))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  1
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  1
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  2/3
  2
  (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))))
  (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (- im re)
  0
  (* -2 re)
  (fma (cbrt (/ 1 (* (* im im) (* im im)))) (* (* re re) 1/3) (* (cbrt im) (cbrt im)))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  im
  re
  (- re)
  (fma (* (* re re) 1/6) (cbrt (/ 1 (pow im 5))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
8.459 * * * [progress]: adding candidates to table
9.271 * * [progress]: iteration 4 / 4
9.271 * * * [progress]: picking best candidate
9.322 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) 2.0))))>
9.323 * * * [progress]: localizing error
9.444 * * * [progress]: generating rewritten candidates
9.444 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
10.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1 1)
10.931 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
12.135 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1 2)
12.162 * * * [progress]: generating series expansions
12.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
12.164 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) into (- (hypot re im) re)
12.164 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
12.164 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
12.164 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.164 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.164 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.164 * [taylor]: Taking taylor expansion of (* re re) in im
12.164 * [taylor]: Taking taylor expansion of re in im
12.164 * [backup-simplify]: Simplify re into re
12.164 * [taylor]: Taking taylor expansion of re in im
12.164 * [backup-simplify]: Simplify re into re
12.164 * [taylor]: Taking taylor expansion of (* im im) in im
12.164 * [taylor]: Taking taylor expansion of im in im
12.164 * [backup-simplify]: Simplify 0 into 0
12.164 * [backup-simplify]: Simplify 1 into 1
12.164 * [taylor]: Taking taylor expansion of im in im
12.164 * [backup-simplify]: Simplify 0 into 0
12.164 * [backup-simplify]: Simplify 1 into 1
12.164 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.165 * [backup-simplify]: Simplify (* 0 0) into 0
12.165 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.166 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.166 * [backup-simplify]: Simplify (+ 0 0) into 0
12.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.167 * [taylor]: Taking taylor expansion of re in im
12.167 * [backup-simplify]: Simplify re into re
12.167 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
12.167 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.167 * [taylor]: Taking taylor expansion of (* re re) in re
12.167 * [taylor]: Taking taylor expansion of re in re
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify 1 into 1
12.167 * [taylor]: Taking taylor expansion of re in re
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify 1 into 1
12.167 * [taylor]: Taking taylor expansion of (* im im) in re
12.167 * [taylor]: Taking taylor expansion of im in re
12.167 * [backup-simplify]: Simplify im into im
12.167 * [taylor]: Taking taylor expansion of im in re
12.167 * [backup-simplify]: Simplify im into im
12.168 * [backup-simplify]: Simplify (* 0 0) into 0
12.168 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.168 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.169 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.169 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.169 * [backup-simplify]: Simplify (+ 0 0) into 0
12.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.169 * [taylor]: Taking taylor expansion of re in re
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
12.169 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.170 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.170 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.170 * [taylor]: Taking taylor expansion of (* re re) in re
12.170 * [taylor]: Taking taylor expansion of re in re
12.170 * [backup-simplify]: Simplify 0 into 0
12.170 * [backup-simplify]: Simplify 1 into 1
12.170 * [taylor]: Taking taylor expansion of re in re
12.170 * [backup-simplify]: Simplify 0 into 0
12.170 * [backup-simplify]: Simplify 1 into 1
12.170 * [taylor]: Taking taylor expansion of (* im im) in re
12.170 * [taylor]: Taking taylor expansion of im in re
12.170 * [backup-simplify]: Simplify im into im
12.170 * [taylor]: Taking taylor expansion of im in re
12.170 * [backup-simplify]: Simplify im into im
12.170 * [backup-simplify]: Simplify (* 0 0) into 0
12.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.171 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.171 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.172 * [backup-simplify]: Simplify (+ 0 0) into 0
12.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.172 * [taylor]: Taking taylor expansion of re in re
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify 1 into 1
12.172 * [backup-simplify]: Simplify (- 0) into 0
12.173 * [backup-simplify]: Simplify (+ im 0) into im
12.173 * [taylor]: Taking taylor expansion of im in im
12.173 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify 1 into 1
12.173 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify (- 1) into -1
12.173 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.173 * [taylor]: Taking taylor expansion of -1 in im
12.174 * [backup-simplify]: Simplify -1 into -1
12.174 * [backup-simplify]: Simplify -1 into -1
12.174 * [backup-simplify]: Simplify 1 into 1
12.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.175 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.175 * [backup-simplify]: Simplify (+ 1 0) into 1
12.176 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.177 * [backup-simplify]: Simplify (- 0) into 0
12.177 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
12.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
12.177 * [taylor]: Taking taylor expansion of 1/2 in im
12.177 * [backup-simplify]: Simplify 1/2 into 1/2
12.177 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.177 * [taylor]: Taking taylor expansion of im in im
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify 1 into 1
12.177 * [backup-simplify]: Simplify (/ 1 1) into 1
12.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.179 * [backup-simplify]: Simplify 0 into 0
12.179 * [backup-simplify]: Simplify 0 into 0
12.179 * [backup-simplify]: Simplify 0 into 0
12.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.181 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.181 * [backup-simplify]: Simplify (+ 0 0) into 0
12.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.182 * [backup-simplify]: Simplify (- 0) into 0
12.182 * [backup-simplify]: Simplify (+ 0 0) into 0
12.182 * [taylor]: Taking taylor expansion of 0 in im
12.182 * [backup-simplify]: Simplify 0 into 0
12.182 * [backup-simplify]: Simplify 0 into 0
12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.185 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
12.186 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (* (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
12.186 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
12.186 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
12.186 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.186 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.186 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.186 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.186 * [taylor]: Taking taylor expansion of re in im
12.186 * [backup-simplify]: Simplify re into re
12.186 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.186 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.186 * [taylor]: Taking taylor expansion of re in im
12.186 * [backup-simplify]: Simplify re into re
12.186 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.187 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.187 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.187 * [taylor]: Taking taylor expansion of im in im
12.187 * [backup-simplify]: Simplify 0 into 0
12.187 * [backup-simplify]: Simplify 1 into 1
12.187 * [backup-simplify]: Simplify (/ 1 1) into 1
12.187 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.187 * [taylor]: Taking taylor expansion of im in im
12.187 * [backup-simplify]: Simplify 0 into 0
12.187 * [backup-simplify]: Simplify 1 into 1
12.188 * [backup-simplify]: Simplify (/ 1 1) into 1
12.188 * [backup-simplify]: Simplify (* 1 1) into 1
12.188 * [backup-simplify]: Simplify (+ 0 1) into 1
12.189 * [backup-simplify]: Simplify (sqrt 1) into 1
12.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.191 * [backup-simplify]: Simplify (+ 0 0) into 0
12.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.192 * [taylor]: Taking taylor expansion of re in im
12.192 * [backup-simplify]: Simplify re into re
12.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.192 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
12.192 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.193 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.193 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.193 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.193 * [taylor]: Taking taylor expansion of re in re
12.193 * [backup-simplify]: Simplify 0 into 0
12.193 * [backup-simplify]: Simplify 1 into 1
12.193 * [backup-simplify]: Simplify (/ 1 1) into 1
12.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.193 * [taylor]: Taking taylor expansion of re in re
12.193 * [backup-simplify]: Simplify 0 into 0
12.193 * [backup-simplify]: Simplify 1 into 1
12.194 * [backup-simplify]: Simplify (/ 1 1) into 1
12.194 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.194 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.194 * [taylor]: Taking taylor expansion of im in re
12.194 * [backup-simplify]: Simplify im into im
12.194 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.194 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.194 * [taylor]: Taking taylor expansion of im in re
12.194 * [backup-simplify]: Simplify im into im
12.194 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.194 * [backup-simplify]: Simplify (* 1 1) into 1
12.195 * [backup-simplify]: Simplify (+ 1 0) into 1
12.195 * [backup-simplify]: Simplify (sqrt 1) into 1
12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.198 * [backup-simplify]: Simplify (+ 0 0) into 0
12.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.199 * [taylor]: Taking taylor expansion of re in re
12.199 * [backup-simplify]: Simplify 0 into 0
12.199 * [backup-simplify]: Simplify 1 into 1
12.199 * [backup-simplify]: Simplify (/ 1 1) into 1
12.199 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
12.199 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.199 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.199 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.199 * [taylor]: Taking taylor expansion of re in re
12.200 * [backup-simplify]: Simplify 0 into 0
12.200 * [backup-simplify]: Simplify 1 into 1
12.200 * [backup-simplify]: Simplify (/ 1 1) into 1
12.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.200 * [taylor]: Taking taylor expansion of re in re
12.200 * [backup-simplify]: Simplify 0 into 0
12.200 * [backup-simplify]: Simplify 1 into 1
12.200 * [backup-simplify]: Simplify (/ 1 1) into 1
12.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.201 * [taylor]: Taking taylor expansion of im in re
12.201 * [backup-simplify]: Simplify im into im
12.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.201 * [taylor]: Taking taylor expansion of im in re
12.201 * [backup-simplify]: Simplify im into im
12.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.201 * [backup-simplify]: Simplify (* 1 1) into 1
12.202 * [backup-simplify]: Simplify (+ 1 0) into 1
12.202 * [backup-simplify]: Simplify (sqrt 1) into 1
12.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.205 * [backup-simplify]: Simplify (+ 0 0) into 0
12.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.205 * [taylor]: Taking taylor expansion of re in re
12.205 * [backup-simplify]: Simplify 0 into 0
12.206 * [backup-simplify]: Simplify 1 into 1
12.206 * [backup-simplify]: Simplify (/ 1 1) into 1
12.206 * [backup-simplify]: Simplify (- 1) into -1
12.207 * [backup-simplify]: Simplify (+ 1 -1) into 0
12.207 * [taylor]: Taking taylor expansion of 0 in im
12.207 * [backup-simplify]: Simplify 0 into 0
12.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.208 * [backup-simplify]: Simplify (- 0) into 0
12.208 * [backup-simplify]: Simplify (+ 0 0) into 0
12.208 * [taylor]: Taking taylor expansion of 0 in im
12.208 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.211 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.212 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.214 * [backup-simplify]: Simplify (- 0) into 0
12.214 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
12.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
12.214 * [taylor]: Taking taylor expansion of 1/2 in im
12.214 * [backup-simplify]: Simplify 1/2 into 1/2
12.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.215 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.215 * [taylor]: Taking taylor expansion of im in im
12.215 * [backup-simplify]: Simplify 0 into 0
12.215 * [backup-simplify]: Simplify 1 into 1
12.215 * [backup-simplify]: Simplify (* 1 1) into 1
12.215 * [backup-simplify]: Simplify (/ 1 1) into 1
12.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [backup-simplify]: Simplify 0 into 0
12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.218 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.219 * [backup-simplify]: Simplify (+ 0 0) into 0
12.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.220 * [backup-simplify]: Simplify (- 0) into 0
12.220 * [backup-simplify]: Simplify (+ 0 0) into 0
12.220 * [taylor]: Taking taylor expansion of 0 in im
12.220 * [backup-simplify]: Simplify 0 into 0
12.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.222 * [backup-simplify]: Simplify 0 into 0
12.222 * [backup-simplify]: Simplify 0 into 0
12.222 * [backup-simplify]: Simplify 0 into 0
12.223 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (* (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
12.223 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
12.223 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
12.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.223 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.223 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.223 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.223 * [taylor]: Taking taylor expansion of -1 in im
12.223 * [backup-simplify]: Simplify -1 into -1
12.223 * [taylor]: Taking taylor expansion of re in im
12.223 * [backup-simplify]: Simplify re into re
12.223 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.223 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.223 * [taylor]: Taking taylor expansion of -1 in im
12.223 * [backup-simplify]: Simplify -1 into -1
12.223 * [taylor]: Taking taylor expansion of re in im
12.223 * [backup-simplify]: Simplify re into re
12.223 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.223 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.223 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.223 * [taylor]: Taking taylor expansion of -1 in im
12.223 * [backup-simplify]: Simplify -1 into -1
12.223 * [taylor]: Taking taylor expansion of im in im
12.223 * [backup-simplify]: Simplify 0 into 0
12.223 * [backup-simplify]: Simplify 1 into 1
12.224 * [backup-simplify]: Simplify (/ -1 1) into -1
12.224 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.224 * [taylor]: Taking taylor expansion of -1 in im
12.224 * [backup-simplify]: Simplify -1 into -1
12.224 * [taylor]: Taking taylor expansion of im in im
12.224 * [backup-simplify]: Simplify 0 into 0
12.224 * [backup-simplify]: Simplify 1 into 1
12.224 * [backup-simplify]: Simplify (/ -1 1) into -1
12.224 * [backup-simplify]: Simplify (* -1 -1) into 1
12.225 * [backup-simplify]: Simplify (+ 0 1) into 1
12.225 * [backup-simplify]: Simplify (sqrt 1) into 1
12.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.226 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.227 * [backup-simplify]: Simplify (+ 0 0) into 0
12.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.227 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.227 * [taylor]: Taking taylor expansion of re in im
12.227 * [backup-simplify]: Simplify re into re
12.227 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.227 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
12.227 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.227 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.227 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.227 * [taylor]: Taking taylor expansion of -1 in re
12.227 * [backup-simplify]: Simplify -1 into -1
12.227 * [taylor]: Taking taylor expansion of re in re
12.227 * [backup-simplify]: Simplify 0 into 0
12.227 * [backup-simplify]: Simplify 1 into 1
12.231 * [backup-simplify]: Simplify (/ -1 1) into -1
12.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.232 * [taylor]: Taking taylor expansion of -1 in re
12.232 * [backup-simplify]: Simplify -1 into -1
12.232 * [taylor]: Taking taylor expansion of re in re
12.232 * [backup-simplify]: Simplify 0 into 0
12.232 * [backup-simplify]: Simplify 1 into 1
12.232 * [backup-simplify]: Simplify (/ -1 1) into -1
12.232 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.232 * [taylor]: Taking taylor expansion of -1 in re
12.232 * [backup-simplify]: Simplify -1 into -1
12.232 * [taylor]: Taking taylor expansion of im in re
12.232 * [backup-simplify]: Simplify im into im
12.232 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.232 * [taylor]: Taking taylor expansion of -1 in re
12.232 * [backup-simplify]: Simplify -1 into -1
12.232 * [taylor]: Taking taylor expansion of im in re
12.232 * [backup-simplify]: Simplify im into im
12.232 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.233 * [backup-simplify]: Simplify (* -1 -1) into 1
12.233 * [backup-simplify]: Simplify (+ 1 0) into 1
12.233 * [backup-simplify]: Simplify (sqrt 1) into 1
12.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.235 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.235 * [backup-simplify]: Simplify (+ 0 0) into 0
12.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.235 * [taylor]: Taking taylor expansion of re in re
12.235 * [backup-simplify]: Simplify 0 into 0
12.235 * [backup-simplify]: Simplify 1 into 1
12.236 * [backup-simplify]: Simplify (/ 1 1) into 1
12.236 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
12.236 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.236 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.236 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.236 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.236 * [taylor]: Taking taylor expansion of -1 in re
12.236 * [backup-simplify]: Simplify -1 into -1
12.236 * [taylor]: Taking taylor expansion of re in re
12.236 * [backup-simplify]: Simplify 0 into 0
12.236 * [backup-simplify]: Simplify 1 into 1
12.236 * [backup-simplify]: Simplify (/ -1 1) into -1
12.236 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.236 * [taylor]: Taking taylor expansion of -1 in re
12.236 * [backup-simplify]: Simplify -1 into -1
12.236 * [taylor]: Taking taylor expansion of re in re
12.236 * [backup-simplify]: Simplify 0 into 0
12.236 * [backup-simplify]: Simplify 1 into 1
12.236 * [backup-simplify]: Simplify (/ -1 1) into -1
12.237 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.237 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.237 * [taylor]: Taking taylor expansion of -1 in re
12.237 * [backup-simplify]: Simplify -1 into -1
12.237 * [taylor]: Taking taylor expansion of im in re
12.237 * [backup-simplify]: Simplify im into im
12.237 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.237 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.237 * [taylor]: Taking taylor expansion of -1 in re
12.237 * [backup-simplify]: Simplify -1 into -1
12.237 * [taylor]: Taking taylor expansion of im in re
12.237 * [backup-simplify]: Simplify im into im
12.237 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.237 * [backup-simplify]: Simplify (* -1 -1) into 1
12.237 * [backup-simplify]: Simplify (+ 1 0) into 1
12.238 * [backup-simplify]: Simplify (sqrt 1) into 1
12.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.239 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.240 * [taylor]: Taking taylor expansion of re in re
12.240 * [backup-simplify]: Simplify 0 into 0
12.240 * [backup-simplify]: Simplify 1 into 1
12.240 * [backup-simplify]: Simplify (/ 1 1) into 1
12.240 * [backup-simplify]: Simplify (+ 1 1) into 2
12.240 * [taylor]: Taking taylor expansion of 2 in im
12.240 * [backup-simplify]: Simplify 2 into 2
12.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.241 * [backup-simplify]: Simplify (+ 0 0) into 0
12.241 * [taylor]: Taking taylor expansion of 0 in im
12.241 * [backup-simplify]: Simplify 0 into 0
12.241 * [backup-simplify]: Simplify 2 into 2
12.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.243 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.245 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.246 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
12.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
12.246 * [taylor]: Taking taylor expansion of 1/2 in im
12.246 * [backup-simplify]: Simplify 1/2 into 1/2
12.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.246 * [taylor]: Taking taylor expansion of im in im
12.246 * [backup-simplify]: Simplify 0 into 0
12.246 * [backup-simplify]: Simplify 1 into 1
12.247 * [backup-simplify]: Simplify (* 1 1) into 1
12.247 * [backup-simplify]: Simplify (/ 1 1) into 1
12.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.249 * [backup-simplify]: Simplify 0 into 0
12.249 * [backup-simplify]: Simplify 0 into 0
12.249 * [backup-simplify]: Simplify 0 into 0
12.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.253 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.253 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.253 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.253 * [backup-simplify]: Simplify (+ 0 0) into 0
12.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.255 * [backup-simplify]: Simplify (+ 0 0) into 0
12.255 * [taylor]: Taking taylor expansion of 0 in im
12.255 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
12.259 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1 1)
12.259 * [backup-simplify]: Simplify (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) into (pow (pow (hypot re im) 2) 1/3)
12.259 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in (re im) around 0
12.259 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im
12.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im
12.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im
12.259 * [taylor]: Taking taylor expansion of 1/3 in im
12.259 * [backup-simplify]: Simplify 1/3 into 1/3
12.259 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im
12.259 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im
12.259 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.259 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.259 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.259 * [taylor]: Taking taylor expansion of (* re re) in im
12.259 * [taylor]: Taking taylor expansion of re in im
12.259 * [backup-simplify]: Simplify re into re
12.259 * [taylor]: Taking taylor expansion of re in im
12.259 * [backup-simplify]: Simplify re into re
12.259 * [taylor]: Taking taylor expansion of (* im im) in im
12.259 * [taylor]: Taking taylor expansion of im in im
12.259 * [backup-simplify]: Simplify 0 into 0
12.259 * [backup-simplify]: Simplify 1 into 1
12.259 * [taylor]: Taking taylor expansion of im in im
12.259 * [backup-simplify]: Simplify 0 into 0
12.259 * [backup-simplify]: Simplify 1 into 1
12.259 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.260 * [backup-simplify]: Simplify (* 0 0) into 0
12.260 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.260 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.260 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.260 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.260 * [backup-simplify]: Simplify (+ 0 0) into 0
12.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.261 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.261 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
12.261 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
12.261 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
12.261 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re
12.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re
12.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re
12.261 * [taylor]: Taking taylor expansion of 1/3 in re
12.261 * [backup-simplify]: Simplify 1/3 into 1/3
12.261 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re
12.261 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re
12.261 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.261 * [taylor]: Taking taylor expansion of (* re re) in re
12.261 * [taylor]: Taking taylor expansion of re in re
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 1 into 1
12.261 * [taylor]: Taking taylor expansion of re in re
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 1 into 1
12.261 * [taylor]: Taking taylor expansion of (* im im) in re
12.261 * [taylor]: Taking taylor expansion of im in re
12.261 * [backup-simplify]: Simplify im into im
12.261 * [taylor]: Taking taylor expansion of im in re
12.261 * [backup-simplify]: Simplify im into im
12.262 * [backup-simplify]: Simplify (* 0 0) into 0
12.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.262 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.263 * [backup-simplify]: Simplify (+ 0 0) into 0
12.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.263 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
12.263 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
12.263 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
12.263 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re
12.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re
12.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re
12.263 * [taylor]: Taking taylor expansion of 1/3 in re
12.263 * [backup-simplify]: Simplify 1/3 into 1/3
12.263 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re
12.263 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re
12.263 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.263 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.263 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.263 * [taylor]: Taking taylor expansion of (* re re) in re
12.263 * [taylor]: Taking taylor expansion of re in re
12.263 * [backup-simplify]: Simplify 0 into 0
12.263 * [backup-simplify]: Simplify 1 into 1
12.263 * [taylor]: Taking taylor expansion of re in re
12.263 * [backup-simplify]: Simplify 0 into 0
12.263 * [backup-simplify]: Simplify 1 into 1
12.263 * [taylor]: Taking taylor expansion of (* im im) in re
12.263 * [taylor]: Taking taylor expansion of im in re
12.263 * [backup-simplify]: Simplify im into im
12.263 * [taylor]: Taking taylor expansion of im in re
12.264 * [backup-simplify]: Simplify im into im
12.264 * [backup-simplify]: Simplify (* 0 0) into 0
12.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.264 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.264 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.265 * [backup-simplify]: Simplify (+ 0 0) into 0
12.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.265 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.265 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
12.265 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
12.265 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
12.265 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
12.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
12.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
12.265 * [taylor]: Taking taylor expansion of 1/3 in im
12.265 * [backup-simplify]: Simplify 1/3 into 1/3
12.265 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
12.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.265 * [taylor]: Taking taylor expansion of im in im
12.265 * [backup-simplify]: Simplify 0 into 0
12.265 * [backup-simplify]: Simplify 1 into 1
12.266 * [backup-simplify]: Simplify (* 1 1) into 1
12.266 * [backup-simplify]: Simplify (log 1) into 0
12.266 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
12.266 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
12.266 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
12.266 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
12.266 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
12.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
12.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.268 * [taylor]: Taking taylor expansion of 0 in im
12.268 * [backup-simplify]: Simplify 0 into 0
12.268 * [backup-simplify]: Simplify 0 into 0
12.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.269 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
12.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
12.270 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.270 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.271 * [backup-simplify]: Simplify (+ 1 0) into 1
12.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.272 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1
12.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
12.274 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
12.275 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
12.275 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
12.275 * [taylor]: Taking taylor expansion of 1/3 in im
12.275 * [backup-simplify]: Simplify 1/3 into 1/3
12.275 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
12.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
12.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
12.275 * [taylor]: Taking taylor expansion of 1/3 in im
12.275 * [backup-simplify]: Simplify 1/3 into 1/3
12.275 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
12.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
12.275 * [taylor]: Taking taylor expansion of (pow im 4) in im
12.275 * [taylor]: Taking taylor expansion of im in im
12.275 * [backup-simplify]: Simplify 0 into 0
12.275 * [backup-simplify]: Simplify 1 into 1
12.275 * [backup-simplify]: Simplify (* 1 1) into 1
12.275 * [backup-simplify]: Simplify (* 1 1) into 1
12.276 * [backup-simplify]: Simplify (/ 1 1) into 1
12.276 * [backup-simplify]: Simplify (log 1) into 0
12.276 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
12.276 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
12.276 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
12.276 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
12.276 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
12.276 * [backup-simplify]: Simplify 0 into 0
12.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
12.279 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
12.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
12.280 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.280 * [backup-simplify]: Simplify 0 into 0
12.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.282 * [backup-simplify]: Simplify (+ 0 0) into 0
12.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0
12.284 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
12.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
12.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.286 * [taylor]: Taking taylor expansion of 0 in im
12.286 * [backup-simplify]: Simplify 0 into 0
12.286 * [backup-simplify]: Simplify 0 into 0
12.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.290 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
12.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
12.291 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
12.292 * [backup-simplify]: Simplify 0 into 0
12.292 * [backup-simplify]: Simplify 0 into 0
12.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.299 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.299 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
12.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
12.303 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.303 * [backup-simplify]: Simplify 0 into 0
12.303 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
12.303 * [backup-simplify]: Simplify (* (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)
12.303 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in (re im) around 0
12.304 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im
12.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im
12.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im
12.304 * [taylor]: Taking taylor expansion of 1/3 in im
12.304 * [backup-simplify]: Simplify 1/3 into 1/3
12.304 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im
12.304 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im
12.304 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.304 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.304 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.304 * [taylor]: Taking taylor expansion of re in im
12.304 * [backup-simplify]: Simplify re into re
12.304 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.304 * [taylor]: Taking taylor expansion of re in im
12.304 * [backup-simplify]: Simplify re into re
12.304 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.304 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.304 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.304 * [taylor]: Taking taylor expansion of im in im
12.304 * [backup-simplify]: Simplify 0 into 0
12.304 * [backup-simplify]: Simplify 1 into 1
12.304 * [backup-simplify]: Simplify (/ 1 1) into 1
12.304 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.304 * [taylor]: Taking taylor expansion of im in im
12.304 * [backup-simplify]: Simplify 0 into 0
12.304 * [backup-simplify]: Simplify 1 into 1
12.305 * [backup-simplify]: Simplify (/ 1 1) into 1
12.305 * [backup-simplify]: Simplify (* 1 1) into 1
12.305 * [backup-simplify]: Simplify (+ 0 1) into 1
12.305 * [backup-simplify]: Simplify (sqrt 1) into 1
12.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.307 * [backup-simplify]: Simplify (+ 0 0) into 0
12.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.308 * [backup-simplify]: Simplify (* 1 1) into 1
12.308 * [backup-simplify]: Simplify (log 1) into 0
12.308 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
12.308 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
12.308 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
12.308 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re
12.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re
12.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re
12.309 * [taylor]: Taking taylor expansion of 1/3 in re
12.309 * [backup-simplify]: Simplify 1/3 into 1/3
12.309 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re
12.309 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re
12.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.309 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.309 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.309 * [taylor]: Taking taylor expansion of re in re
12.309 * [backup-simplify]: Simplify 0 into 0
12.309 * [backup-simplify]: Simplify 1 into 1
12.309 * [backup-simplify]: Simplify (/ 1 1) into 1
12.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.309 * [taylor]: Taking taylor expansion of re in re
12.309 * [backup-simplify]: Simplify 0 into 0
12.309 * [backup-simplify]: Simplify 1 into 1
12.309 * [backup-simplify]: Simplify (/ 1 1) into 1
12.309 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.309 * [taylor]: Taking taylor expansion of im in re
12.309 * [backup-simplify]: Simplify im into im
12.309 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.309 * [taylor]: Taking taylor expansion of im in re
12.310 * [backup-simplify]: Simplify im into im
12.310 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.310 * [backup-simplify]: Simplify (* 1 1) into 1
12.310 * [backup-simplify]: Simplify (+ 1 0) into 1
12.310 * [backup-simplify]: Simplify (sqrt 1) into 1
12.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.312 * [backup-simplify]: Simplify (+ 0 0) into 0
12.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.312 * [backup-simplify]: Simplify (* 1 1) into 1
12.313 * [backup-simplify]: Simplify (log 1) into 0
12.313 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.313 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
12.313 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
12.313 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re
12.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re
12.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re
12.313 * [taylor]: Taking taylor expansion of 1/3 in re
12.313 * [backup-simplify]: Simplify 1/3 into 1/3
12.313 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re
12.313 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re
12.313 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.313 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.313 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.313 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.313 * [taylor]: Taking taylor expansion of re in re
12.314 * [backup-simplify]: Simplify 0 into 0
12.314 * [backup-simplify]: Simplify 1 into 1
12.314 * [backup-simplify]: Simplify (/ 1 1) into 1
12.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.314 * [taylor]: Taking taylor expansion of re in re
12.314 * [backup-simplify]: Simplify 0 into 0
12.314 * [backup-simplify]: Simplify 1 into 1
12.314 * [backup-simplify]: Simplify (/ 1 1) into 1
12.314 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.314 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.314 * [taylor]: Taking taylor expansion of im in re
12.314 * [backup-simplify]: Simplify im into im
12.314 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.314 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.314 * [taylor]: Taking taylor expansion of im in re
12.314 * [backup-simplify]: Simplify im into im
12.314 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.315 * [backup-simplify]: Simplify (* 1 1) into 1
12.315 * [backup-simplify]: Simplify (+ 1 0) into 1
12.315 * [backup-simplify]: Simplify (sqrt 1) into 1
12.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.317 * [backup-simplify]: Simplify (+ 0 0) into 0
12.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.317 * [backup-simplify]: Simplify (* 1 1) into 1
12.317 * [backup-simplify]: Simplify (log 1) into 0
12.318 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.318 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
12.318 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
12.318 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
12.318 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
12.318 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
12.318 * [taylor]: Taking taylor expansion of -2/3 in im
12.318 * [backup-simplify]: Simplify -2/3 into -2/3
12.318 * [taylor]: Taking taylor expansion of (log re) in im
12.318 * [taylor]: Taking taylor expansion of re in im
12.318 * [backup-simplify]: Simplify re into re
12.318 * [backup-simplify]: Simplify (log re) into (log re)
12.318 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
12.318 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
12.318 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
12.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.320 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
12.321 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.321 * [taylor]: Taking taylor expansion of 0 in im
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
12.322 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
12.322 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.322 * [backup-simplify]: Simplify 0 into 0
12.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.325 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.328 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2))
12.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
12.330 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.331 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
12.332 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
12.332 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
12.332 * [taylor]: Taking taylor expansion of 1/3 in im
12.332 * [backup-simplify]: Simplify 1/3 into 1/3
12.332 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
12.332 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
12.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
12.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
12.332 * [taylor]: Taking taylor expansion of 1/3 in im
12.333 * [backup-simplify]: Simplify 1/3 into 1/3
12.333 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
12.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.333 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.333 * [taylor]: Taking taylor expansion of re in im
12.333 * [backup-simplify]: Simplify re into re
12.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.333 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.333 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
12.333 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
12.333 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
12.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.334 * [taylor]: Taking taylor expansion of im in im
12.334 * [backup-simplify]: Simplify 0 into 0
12.334 * [backup-simplify]: Simplify 1 into 1
12.334 * [backup-simplify]: Simplify (* 1 1) into 1
12.334 * [backup-simplify]: Simplify (/ 1 1) into 1
12.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.338 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
12.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
12.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
12.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.341 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
12.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
12.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
12.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
12.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.349 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
12.350 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
12.350 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
12.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
12.351 * [backup-simplify]: Simplify 0 into 0
12.351 * [backup-simplify]: Simplify 0 into 0
12.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
12.352 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
12.353 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.353 * [backup-simplify]: Simplify 0 into 0
12.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.355 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.355 * [backup-simplify]: Simplify (+ 0 0) into 0
12.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
12.359 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.359 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
12.361 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.361 * [taylor]: Taking taylor expansion of 0 in im
12.361 * [backup-simplify]: Simplify 0 into 0
12.361 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
12.362 * [backup-simplify]: Simplify (* (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)
12.362 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in (re im) around 0
12.362 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im
12.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im
12.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im
12.362 * [taylor]: Taking taylor expansion of 1/3 in im
12.362 * [backup-simplify]: Simplify 1/3 into 1/3
12.362 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im
12.362 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im
12.362 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.362 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.362 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.362 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.362 * [taylor]: Taking taylor expansion of -1 in im
12.362 * [backup-simplify]: Simplify -1 into -1
12.362 * [taylor]: Taking taylor expansion of re in im
12.362 * [backup-simplify]: Simplify re into re
12.362 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.362 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.362 * [taylor]: Taking taylor expansion of -1 in im
12.362 * [backup-simplify]: Simplify -1 into -1
12.363 * [taylor]: Taking taylor expansion of re in im
12.363 * [backup-simplify]: Simplify re into re
12.363 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.363 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.363 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.363 * [taylor]: Taking taylor expansion of -1 in im
12.363 * [backup-simplify]: Simplify -1 into -1
12.363 * [taylor]: Taking taylor expansion of im in im
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 1 into 1
12.363 * [backup-simplify]: Simplify (/ -1 1) into -1
12.363 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.363 * [taylor]: Taking taylor expansion of -1 in im
12.363 * [backup-simplify]: Simplify -1 into -1
12.363 * [taylor]: Taking taylor expansion of im in im
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 1 into 1
12.363 * [backup-simplify]: Simplify (/ -1 1) into -1
12.364 * [backup-simplify]: Simplify (* -1 -1) into 1
12.364 * [backup-simplify]: Simplify (+ 0 1) into 1
12.364 * [backup-simplify]: Simplify (sqrt 1) into 1
12.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.365 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.366 * [backup-simplify]: Simplify (+ 0 0) into 0
12.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.366 * [backup-simplify]: Simplify (* 1 1) into 1
12.367 * [backup-simplify]: Simplify (log 1) into 0
12.367 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
12.367 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
12.367 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
12.367 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re
12.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re
12.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re
12.367 * [taylor]: Taking taylor expansion of 1/3 in re
12.367 * [backup-simplify]: Simplify 1/3 into 1/3
12.367 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re
12.367 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re
12.367 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.367 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.367 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.367 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.367 * [taylor]: Taking taylor expansion of -1 in re
12.367 * [backup-simplify]: Simplify -1 into -1
12.367 * [taylor]: Taking taylor expansion of re in re
12.367 * [backup-simplify]: Simplify 0 into 0
12.367 * [backup-simplify]: Simplify 1 into 1
12.368 * [backup-simplify]: Simplify (/ -1 1) into -1
12.368 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.368 * [taylor]: Taking taylor expansion of -1 in re
12.368 * [backup-simplify]: Simplify -1 into -1
12.368 * [taylor]: Taking taylor expansion of re in re
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 1 into 1
12.368 * [backup-simplify]: Simplify (/ -1 1) into -1
12.368 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.368 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.368 * [taylor]: Taking taylor expansion of -1 in re
12.368 * [backup-simplify]: Simplify -1 into -1
12.368 * [taylor]: Taking taylor expansion of im in re
12.368 * [backup-simplify]: Simplify im into im
12.368 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.368 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.368 * [taylor]: Taking taylor expansion of -1 in re
12.368 * [backup-simplify]: Simplify -1 into -1
12.368 * [taylor]: Taking taylor expansion of im in re
12.368 * [backup-simplify]: Simplify im into im
12.368 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.369 * [backup-simplify]: Simplify (* -1 -1) into 1
12.369 * [backup-simplify]: Simplify (+ 1 0) into 1
12.369 * [backup-simplify]: Simplify (sqrt 1) into 1
12.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.371 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.371 * [backup-simplify]: Simplify (+ 0 0) into 0
12.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.371 * [backup-simplify]: Simplify (* 1 1) into 1
12.372 * [backup-simplify]: Simplify (log 1) into 0
12.372 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.372 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
12.372 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
12.372 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re
12.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re
12.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re
12.372 * [taylor]: Taking taylor expansion of 1/3 in re
12.372 * [backup-simplify]: Simplify 1/3 into 1/3
12.372 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re
12.372 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re
12.372 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.372 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.373 * [taylor]: Taking taylor expansion of -1 in re
12.373 * [backup-simplify]: Simplify -1 into -1
12.373 * [taylor]: Taking taylor expansion of re in re
12.373 * [backup-simplify]: Simplify 0 into 0
12.373 * [backup-simplify]: Simplify 1 into 1
12.373 * [backup-simplify]: Simplify (/ -1 1) into -1
12.373 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.373 * [taylor]: Taking taylor expansion of -1 in re
12.373 * [backup-simplify]: Simplify -1 into -1
12.373 * [taylor]: Taking taylor expansion of re in re
12.373 * [backup-simplify]: Simplify 0 into 0
12.373 * [backup-simplify]: Simplify 1 into 1
12.373 * [backup-simplify]: Simplify (/ -1 1) into -1
12.373 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.373 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.373 * [taylor]: Taking taylor expansion of -1 in re
12.373 * [backup-simplify]: Simplify -1 into -1
12.373 * [taylor]: Taking taylor expansion of im in re
12.373 * [backup-simplify]: Simplify im into im
12.373 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.373 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.373 * [taylor]: Taking taylor expansion of -1 in re
12.373 * [backup-simplify]: Simplify -1 into -1
12.373 * [taylor]: Taking taylor expansion of im in re
12.373 * [backup-simplify]: Simplify im into im
12.373 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.374 * [backup-simplify]: Simplify (* -1 -1) into 1
12.374 * [backup-simplify]: Simplify (+ 1 0) into 1
12.374 * [backup-simplify]: Simplify (sqrt 1) into 1
12.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.376 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.376 * [backup-simplify]: Simplify (+ 0 0) into 0
12.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.377 * [backup-simplify]: Simplify (* 1 1) into 1
12.377 * [backup-simplify]: Simplify (log 1) into 0
12.377 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.377 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
12.377 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
12.377 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
12.377 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
12.377 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
12.377 * [taylor]: Taking taylor expansion of -2/3 in im
12.377 * [backup-simplify]: Simplify -2/3 into -2/3
12.377 * [taylor]: Taking taylor expansion of (log re) in im
12.377 * [taylor]: Taking taylor expansion of re in im
12.377 * [backup-simplify]: Simplify re into re
12.377 * [backup-simplify]: Simplify (log re) into (log re)
12.378 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
12.378 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
12.378 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
12.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.379 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
12.380 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.380 * [taylor]: Taking taylor expansion of 0 in im
12.380 * [backup-simplify]: Simplify 0 into 0
12.380 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
12.381 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
12.382 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.384 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.384 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.386 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.386 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2))
12.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
12.389 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.389 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
12.390 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
12.391 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
12.391 * [taylor]: Taking taylor expansion of 1/3 in im
12.391 * [backup-simplify]: Simplify 1/3 into 1/3
12.391 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
12.391 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
12.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
12.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
12.391 * [taylor]: Taking taylor expansion of 1/3 in im
12.391 * [backup-simplify]: Simplify 1/3 into 1/3
12.391 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
12.391 * [taylor]: Taking taylor expansion of (pow re 2) in im
12.391 * [taylor]: Taking taylor expansion of re in im
12.391 * [backup-simplify]: Simplify re into re
12.391 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.391 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
12.391 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
12.391 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
12.392 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
12.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.392 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.392 * [taylor]: Taking taylor expansion of im in im
12.392 * [backup-simplify]: Simplify 0 into 0
12.392 * [backup-simplify]: Simplify 1 into 1
12.392 * [backup-simplify]: Simplify (* 1 1) into 1
12.393 * [backup-simplify]: Simplify (/ 1 1) into 1
12.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.396 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
12.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
12.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
12.399 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.400 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
12.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
12.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
12.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
12.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.406 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
12.407 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
12.407 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
12.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
12.411 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
12.412 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.412 * [backup-simplify]: Simplify 0 into 0
12.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.415 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.415 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.415 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.416 * [backup-simplify]: Simplify (+ 0 0) into 0
12.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
12.419 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.419 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
12.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
12.421 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.421 * [taylor]: Taking taylor expansion of 0 in im
12.421 * [backup-simplify]: Simplify 0 into 0
12.421 * [backup-simplify]: Simplify 0 into 0
12.422 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
12.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
12.422 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) into (hypot re im)
12.422 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
12.422 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.422 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.422 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.422 * [taylor]: Taking taylor expansion of (* re re) in im
12.422 * [taylor]: Taking taylor expansion of re in im
12.422 * [backup-simplify]: Simplify re into re
12.422 * [taylor]: Taking taylor expansion of re in im
12.422 * [backup-simplify]: Simplify re into re
12.422 * [taylor]: Taking taylor expansion of (* im im) in im
12.422 * [taylor]: Taking taylor expansion of im in im
12.422 * [backup-simplify]: Simplify 0 into 0
12.422 * [backup-simplify]: Simplify 1 into 1
12.422 * [taylor]: Taking taylor expansion of im in im
12.422 * [backup-simplify]: Simplify 0 into 0
12.422 * [backup-simplify]: Simplify 1 into 1
12.422 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.423 * [backup-simplify]: Simplify (* 0 0) into 0
12.423 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.423 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.423 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.423 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.424 * [backup-simplify]: Simplify (+ 0 0) into 0
12.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.424 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.424 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.424 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.424 * [taylor]: Taking taylor expansion of (* re re) in re
12.424 * [taylor]: Taking taylor expansion of re in re
12.424 * [backup-simplify]: Simplify 0 into 0
12.424 * [backup-simplify]: Simplify 1 into 1
12.424 * [taylor]: Taking taylor expansion of re in re
12.424 * [backup-simplify]: Simplify 0 into 0
12.424 * [backup-simplify]: Simplify 1 into 1
12.424 * [taylor]: Taking taylor expansion of (* im im) in re
12.424 * [taylor]: Taking taylor expansion of im in re
12.424 * [backup-simplify]: Simplify im into im
12.424 * [taylor]: Taking taylor expansion of im in re
12.424 * [backup-simplify]: Simplify im into im
12.424 * [backup-simplify]: Simplify (* 0 0) into 0
12.424 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.424 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.425 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.425 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.425 * [backup-simplify]: Simplify (+ 0 0) into 0
12.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.425 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.425 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.425 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.426 * [taylor]: Taking taylor expansion of (* re re) in re
12.426 * [taylor]: Taking taylor expansion of re in re
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify 1 into 1
12.426 * [taylor]: Taking taylor expansion of re in re
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify 1 into 1
12.426 * [taylor]: Taking taylor expansion of (* im im) in re
12.426 * [taylor]: Taking taylor expansion of im in re
12.426 * [backup-simplify]: Simplify im into im
12.426 * [taylor]: Taking taylor expansion of im in re
12.426 * [backup-simplify]: Simplify im into im
12.426 * [backup-simplify]: Simplify (* 0 0) into 0
12.426 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.426 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.426 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.427 * [backup-simplify]: Simplify (+ 0 0) into 0
12.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.427 * [taylor]: Taking taylor expansion of im in im
12.427 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify 1 into 1
12.427 * [backup-simplify]: Simplify 0 into 0
12.427 * [taylor]: Taking taylor expansion of 0 in im
12.427 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify 1 into 1
12.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.428 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.428 * [backup-simplify]: Simplify (+ 1 0) into 1
12.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.429 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
12.429 * [taylor]: Taking taylor expansion of 1/2 in im
12.429 * [backup-simplify]: Simplify 1/2 into 1/2
12.429 * [taylor]: Taking taylor expansion of im in im
12.429 * [backup-simplify]: Simplify 0 into 0
12.429 * [backup-simplify]: Simplify 1 into 1
12.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.430 * [backup-simplify]: Simplify 0 into 0
12.430 * [backup-simplify]: Simplify 0 into 0
12.430 * [backup-simplify]: Simplify 0 into 0
12.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.431 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.431 * [backup-simplify]: Simplify (+ 0 0) into 0
12.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.431 * [taylor]: Taking taylor expansion of 0 in im
12.431 * [backup-simplify]: Simplify 0 into 0
12.431 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
12.433 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (* (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) into (hypot (/ 1 re) (/ 1 im))
12.433 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
12.433 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.433 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.433 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.433 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.433 * [taylor]: Taking taylor expansion of re in im
12.433 * [backup-simplify]: Simplify re into re
12.433 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.433 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.433 * [taylor]: Taking taylor expansion of re in im
12.433 * [backup-simplify]: Simplify re into re
12.433 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.433 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.433 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.433 * [taylor]: Taking taylor expansion of im in im
12.433 * [backup-simplify]: Simplify 0 into 0
12.433 * [backup-simplify]: Simplify 1 into 1
12.433 * [backup-simplify]: Simplify (/ 1 1) into 1
12.433 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.433 * [taylor]: Taking taylor expansion of im in im
12.433 * [backup-simplify]: Simplify 0 into 0
12.433 * [backup-simplify]: Simplify 1 into 1
12.434 * [backup-simplify]: Simplify (/ 1 1) into 1
12.434 * [backup-simplify]: Simplify (* 1 1) into 1
12.434 * [backup-simplify]: Simplify (+ 0 1) into 1
12.434 * [backup-simplify]: Simplify (sqrt 1) into 1
12.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.436 * [backup-simplify]: Simplify (+ 0 0) into 0
12.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.436 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.437 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.437 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.437 * [taylor]: Taking taylor expansion of re in re
12.437 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 1 into 1
12.437 * [backup-simplify]: Simplify (/ 1 1) into 1
12.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.437 * [taylor]: Taking taylor expansion of re in re
12.437 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 1 into 1
12.437 * [backup-simplify]: Simplify (/ 1 1) into 1
12.437 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.437 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.437 * [taylor]: Taking taylor expansion of im in re
12.437 * [backup-simplify]: Simplify im into im
12.437 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.437 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.437 * [taylor]: Taking taylor expansion of im in re
12.437 * [backup-simplify]: Simplify im into im
12.437 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.438 * [backup-simplify]: Simplify (* 1 1) into 1
12.438 * [backup-simplify]: Simplify (+ 1 0) into 1
12.438 * [backup-simplify]: Simplify (sqrt 1) into 1
12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.440 * [backup-simplify]: Simplify (+ 0 0) into 0
12.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.440 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.440 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.440 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.440 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.440 * [taylor]: Taking taylor expansion of re in re
12.440 * [backup-simplify]: Simplify 0 into 0
12.440 * [backup-simplify]: Simplify 1 into 1
12.441 * [backup-simplify]: Simplify (/ 1 1) into 1
12.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.441 * [taylor]: Taking taylor expansion of re in re
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [backup-simplify]: Simplify 1 into 1
12.441 * [backup-simplify]: Simplify (/ 1 1) into 1
12.441 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.441 * [taylor]: Taking taylor expansion of im in re
12.441 * [backup-simplify]: Simplify im into im
12.441 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.441 * [taylor]: Taking taylor expansion of im in re
12.441 * [backup-simplify]: Simplify im into im
12.441 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.441 * [backup-simplify]: Simplify (* 1 1) into 1
12.442 * [backup-simplify]: Simplify (+ 1 0) into 1
12.442 * [backup-simplify]: Simplify (sqrt 1) into 1
12.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.444 * [backup-simplify]: Simplify (+ 0 0) into 0
12.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.444 * [taylor]: Taking taylor expansion of 1 in im
12.444 * [backup-simplify]: Simplify 1 into 1
12.444 * [taylor]: Taking taylor expansion of 0 in im
12.444 * [backup-simplify]: Simplify 0 into 0
12.444 * [backup-simplify]: Simplify 1 into 1
12.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.446 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.446 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.447 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.447 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.447 * [taylor]: Taking taylor expansion of 1/2 in im
12.447 * [backup-simplify]: Simplify 1/2 into 1/2
12.447 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.447 * [taylor]: Taking taylor expansion of im in im
12.447 * [backup-simplify]: Simplify 0 into 0
12.447 * [backup-simplify]: Simplify 1 into 1
12.447 * [backup-simplify]: Simplify (* 1 1) into 1
12.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.449 * [backup-simplify]: Simplify 0 into 0
12.449 * [backup-simplify]: Simplify 0 into 0
12.449 * [backup-simplify]: Simplify 0 into 0
12.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.451 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.451 * [backup-simplify]: Simplify (+ 0 0) into 0
12.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.451 * [taylor]: Taking taylor expansion of 0 in im
12.451 * [backup-simplify]: Simplify 0 into 0
12.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
12.453 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (* (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (hypot (/ -1 re) (/ -1 im))
12.453 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
12.453 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.454 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.454 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.454 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.454 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.454 * [taylor]: Taking taylor expansion of -1 in im
12.454 * [backup-simplify]: Simplify -1 into -1
12.454 * [taylor]: Taking taylor expansion of re in im
12.454 * [backup-simplify]: Simplify re into re
12.454 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.454 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.454 * [taylor]: Taking taylor expansion of -1 in im
12.454 * [backup-simplify]: Simplify -1 into -1
12.454 * [taylor]: Taking taylor expansion of re in im
12.454 * [backup-simplify]: Simplify re into re
12.454 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.454 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.454 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.454 * [taylor]: Taking taylor expansion of -1 in im
12.454 * [backup-simplify]: Simplify -1 into -1
12.454 * [taylor]: Taking taylor expansion of im in im
12.454 * [backup-simplify]: Simplify 0 into 0
12.454 * [backup-simplify]: Simplify 1 into 1
12.455 * [backup-simplify]: Simplify (/ -1 1) into -1
12.455 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.455 * [taylor]: Taking taylor expansion of -1 in im
12.455 * [backup-simplify]: Simplify -1 into -1
12.455 * [taylor]: Taking taylor expansion of im in im
12.455 * [backup-simplify]: Simplify 0 into 0
12.456 * [backup-simplify]: Simplify 1 into 1
12.456 * [backup-simplify]: Simplify (/ -1 1) into -1
12.456 * [backup-simplify]: Simplify (* -1 -1) into 1
12.457 * [backup-simplify]: Simplify (+ 0 1) into 1
12.457 * [backup-simplify]: Simplify (sqrt 1) into 1
12.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.458 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.458 * [backup-simplify]: Simplify (+ 0 0) into 0
12.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.459 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.459 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.459 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.459 * [taylor]: Taking taylor expansion of -1 in re
12.459 * [backup-simplify]: Simplify -1 into -1
12.459 * [taylor]: Taking taylor expansion of re in re
12.459 * [backup-simplify]: Simplify 0 into 0
12.459 * [backup-simplify]: Simplify 1 into 1
12.459 * [backup-simplify]: Simplify (/ -1 1) into -1
12.460 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.460 * [taylor]: Taking taylor expansion of -1 in re
12.460 * [backup-simplify]: Simplify -1 into -1
12.460 * [taylor]: Taking taylor expansion of re in re
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 1 into 1
12.460 * [backup-simplify]: Simplify (/ -1 1) into -1
12.460 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.460 * [taylor]: Taking taylor expansion of -1 in re
12.460 * [backup-simplify]: Simplify -1 into -1
12.460 * [taylor]: Taking taylor expansion of im in re
12.460 * [backup-simplify]: Simplify im into im
12.460 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.460 * [taylor]: Taking taylor expansion of -1 in re
12.460 * [backup-simplify]: Simplify -1 into -1
12.460 * [taylor]: Taking taylor expansion of im in re
12.460 * [backup-simplify]: Simplify im into im
12.460 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.460 * [backup-simplify]: Simplify (* -1 -1) into 1
12.461 * [backup-simplify]: Simplify (+ 1 0) into 1
12.461 * [backup-simplify]: Simplify (sqrt 1) into 1
12.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.462 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.463 * [backup-simplify]: Simplify (+ 0 0) into 0
12.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.463 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.464 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.464 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.464 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.464 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.464 * [taylor]: Taking taylor expansion of -1 in re
12.464 * [backup-simplify]: Simplify -1 into -1
12.464 * [taylor]: Taking taylor expansion of re in re
12.464 * [backup-simplify]: Simplify 0 into 0
12.464 * [backup-simplify]: Simplify 1 into 1
12.464 * [backup-simplify]: Simplify (/ -1 1) into -1
12.464 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.464 * [taylor]: Taking taylor expansion of -1 in re
12.464 * [backup-simplify]: Simplify -1 into -1
12.464 * [taylor]: Taking taylor expansion of re in re
12.464 * [backup-simplify]: Simplify 0 into 0
12.464 * [backup-simplify]: Simplify 1 into 1
12.465 * [backup-simplify]: Simplify (/ -1 1) into -1
12.465 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.465 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.465 * [taylor]: Taking taylor expansion of -1 in re
12.465 * [backup-simplify]: Simplify -1 into -1
12.465 * [taylor]: Taking taylor expansion of im in re
12.465 * [backup-simplify]: Simplify im into im
12.465 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.465 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.465 * [taylor]: Taking taylor expansion of -1 in re
12.465 * [backup-simplify]: Simplify -1 into -1
12.465 * [taylor]: Taking taylor expansion of im in re
12.465 * [backup-simplify]: Simplify im into im
12.465 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.466 * [backup-simplify]: Simplify (* -1 -1) into 1
12.466 * [backup-simplify]: Simplify (+ 1 0) into 1
12.467 * [backup-simplify]: Simplify (sqrt 1) into 1
12.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.469 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.469 * [backup-simplify]: Simplify (+ 0 0) into 0
12.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.470 * [taylor]: Taking taylor expansion of 1 in im
12.470 * [backup-simplify]: Simplify 1 into 1
12.470 * [taylor]: Taking taylor expansion of 0 in im
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 1 into 1
12.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.473 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.474 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.474 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.475 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
12.475 * [taylor]: Taking taylor expansion of 1/2 in im
12.475 * [backup-simplify]: Simplify 1/2 into 1/2
12.475 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.475 * [taylor]: Taking taylor expansion of im in im
12.475 * [backup-simplify]: Simplify 0 into 0
12.475 * [backup-simplify]: Simplify 1 into 1
12.476 * [backup-simplify]: Simplify (* 1 1) into 1
12.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.478 * [backup-simplify]: Simplify 0 into 0
12.478 * [backup-simplify]: Simplify 0 into 0
12.478 * [backup-simplify]: Simplify 0 into 0
12.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.482 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.482 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.482 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.482 * [backup-simplify]: Simplify (+ 0 0) into 0
12.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.483 * [taylor]: Taking taylor expansion of 0 in im
12.483 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
12.485 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1 2)
12.486 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
12.486 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
12.486 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
12.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
12.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
12.486 * [taylor]: Taking taylor expansion of 1/3 in im
12.486 * [backup-simplify]: Simplify 1/3 into 1/3
12.486 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
12.486 * [taylor]: Taking taylor expansion of (hypot re im) in im
12.486 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.486 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
12.486 * [taylor]: Taking taylor expansion of (* re re) in im
12.486 * [taylor]: Taking taylor expansion of re in im
12.486 * [backup-simplify]: Simplify re into re
12.486 * [taylor]: Taking taylor expansion of re in im
12.486 * [backup-simplify]: Simplify re into re
12.486 * [taylor]: Taking taylor expansion of (* im im) in im
12.486 * [taylor]: Taking taylor expansion of im in im
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify 1 into 1
12.486 * [taylor]: Taking taylor expansion of im in im
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify 1 into 1
12.486 * [backup-simplify]: Simplify (* re re) into (pow re 2)
12.487 * [backup-simplify]: Simplify (* 0 0) into 0
12.487 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
12.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
12.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
12.487 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.488 * [backup-simplify]: Simplify (+ 0 0) into 0
12.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
12.488 * [backup-simplify]: Simplify (log re) into (log re)
12.488 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
12.488 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
12.488 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
12.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
12.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
12.488 * [taylor]: Taking taylor expansion of 1/3 in re
12.488 * [backup-simplify]: Simplify 1/3 into 1/3
12.488 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
12.488 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.488 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.488 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.488 * [taylor]: Taking taylor expansion of (* re re) in re
12.488 * [taylor]: Taking taylor expansion of re in re
12.488 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify 1 into 1
12.488 * [taylor]: Taking taylor expansion of re in re
12.488 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify 1 into 1
12.488 * [taylor]: Taking taylor expansion of (* im im) in re
12.488 * [taylor]: Taking taylor expansion of im in re
12.488 * [backup-simplify]: Simplify im into im
12.488 * [taylor]: Taking taylor expansion of im in re
12.488 * [backup-simplify]: Simplify im into im
12.489 * [backup-simplify]: Simplify (* 0 0) into 0
12.489 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.489 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.489 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.489 * [backup-simplify]: Simplify (+ 0 0) into 0
12.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.490 * [backup-simplify]: Simplify (log im) into (log im)
12.490 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
12.490 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
12.490 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
12.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
12.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
12.490 * [taylor]: Taking taylor expansion of 1/3 in re
12.490 * [backup-simplify]: Simplify 1/3 into 1/3
12.490 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
12.490 * [taylor]: Taking taylor expansion of (hypot re im) in re
12.490 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
12.490 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
12.490 * [taylor]: Taking taylor expansion of (* re re) in re
12.490 * [taylor]: Taking taylor expansion of re in re
12.490 * [backup-simplify]: Simplify 0 into 0
12.490 * [backup-simplify]: Simplify 1 into 1
12.490 * [taylor]: Taking taylor expansion of re in re
12.490 * [backup-simplify]: Simplify 0 into 0
12.490 * [backup-simplify]: Simplify 1 into 1
12.490 * [taylor]: Taking taylor expansion of (* im im) in re
12.490 * [taylor]: Taking taylor expansion of im in re
12.490 * [backup-simplify]: Simplify im into im
12.490 * [taylor]: Taking taylor expansion of im in re
12.490 * [backup-simplify]: Simplify im into im
12.490 * [backup-simplify]: Simplify (* 0 0) into 0
12.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
12.491 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
12.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
12.491 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
12.491 * [backup-simplify]: Simplify (+ 0 0) into 0
12.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
12.491 * [backup-simplify]: Simplify (log im) into (log im)
12.492 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
12.492 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
12.492 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
12.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
12.492 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
12.492 * [taylor]: Taking taylor expansion of 1/3 in im
12.492 * [backup-simplify]: Simplify 1/3 into 1/3
12.492 * [taylor]: Taking taylor expansion of (log im) in im
12.492 * [taylor]: Taking taylor expansion of im in im
12.492 * [backup-simplify]: Simplify 0 into 0
12.492 * [backup-simplify]: Simplify 1 into 1
12.492 * [backup-simplify]: Simplify (log 1) into 0
12.492 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.492 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
12.492 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
12.492 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
12.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
12.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
12.494 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.494 * [taylor]: Taking taylor expansion of 0 in im
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.495 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
12.496 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.497 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
12.497 * [backup-simplify]: Simplify (+ 1 0) into 1
12.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
12.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
12.499 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
12.499 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
12.499 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
12.499 * [taylor]: Taking taylor expansion of 1/6 in im
12.499 * [backup-simplify]: Simplify 1/6 into 1/6
12.499 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
12.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
12.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
12.499 * [taylor]: Taking taylor expansion of 1/3 in im
12.499 * [backup-simplify]: Simplify 1/3 into 1/3
12.499 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
12.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
12.499 * [taylor]: Taking taylor expansion of (pow im 5) in im
12.499 * [taylor]: Taking taylor expansion of im in im
12.500 * [backup-simplify]: Simplify 0 into 0
12.500 * [backup-simplify]: Simplify 1 into 1
12.500 * [backup-simplify]: Simplify (* 1 1) into 1
12.500 * [backup-simplify]: Simplify (* 1 1) into 1
12.500 * [backup-simplify]: Simplify (* 1 1) into 1
12.500 * [backup-simplify]: Simplify (/ 1 1) into 1
12.501 * [backup-simplify]: Simplify (log 1) into 0
12.501 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
12.501 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
12.501 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
12.501 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
12.501 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
12.501 * [backup-simplify]: Simplify 0 into 0
12.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
12.503 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
12.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.505 * [backup-simplify]: Simplify 0 into 0
12.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
12.506 * [backup-simplify]: Simplify (+ 0 0) into 0
12.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
12.508 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
12.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
12.510 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.510 * [taylor]: Taking taylor expansion of 0 in im
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [backup-simplify]: Simplify 0 into 0
12.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.513 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
12.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
12.514 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
12.514 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
12.514 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify 0 into 0
12.517 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.517 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
12.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
12.520 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.520 * [backup-simplify]: Simplify 0 into 0
12.521 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
12.521 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
12.521 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
12.521 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
12.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
12.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
12.521 * [taylor]: Taking taylor expansion of 1/3 in im
12.521 * [backup-simplify]: Simplify 1/3 into 1/3
12.521 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
12.521 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
12.521 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.521 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
12.521 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
12.521 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.521 * [taylor]: Taking taylor expansion of re in im
12.521 * [backup-simplify]: Simplify re into re
12.521 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.521 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.521 * [taylor]: Taking taylor expansion of re in im
12.521 * [backup-simplify]: Simplify re into re
12.521 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.521 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
12.521 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.522 * [taylor]: Taking taylor expansion of im in im
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 1 into 1
12.522 * [backup-simplify]: Simplify (/ 1 1) into 1
12.522 * [taylor]: Taking taylor expansion of (/ 1 im) in im
12.522 * [taylor]: Taking taylor expansion of im in im
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 1 into 1
12.522 * [backup-simplify]: Simplify (/ 1 1) into 1
12.523 * [backup-simplify]: Simplify (* 1 1) into 1
12.523 * [backup-simplify]: Simplify (+ 0 1) into 1
12.524 * [backup-simplify]: Simplify (sqrt 1) into 1
12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.526 * [backup-simplify]: Simplify (+ 0 0) into 0
12.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.527 * [backup-simplify]: Simplify (log 1) into 0
12.528 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
12.528 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
12.528 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
12.528 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
12.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
12.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
12.528 * [taylor]: Taking taylor expansion of 1/3 in re
12.528 * [backup-simplify]: Simplify 1/3 into 1/3
12.528 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
12.528 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.528 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.528 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.528 * [taylor]: Taking taylor expansion of re in re
12.528 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 1 into 1
12.529 * [backup-simplify]: Simplify (/ 1 1) into 1
12.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.529 * [taylor]: Taking taylor expansion of re in re
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 1 into 1
12.529 * [backup-simplify]: Simplify (/ 1 1) into 1
12.529 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.529 * [taylor]: Taking taylor expansion of im in re
12.529 * [backup-simplify]: Simplify im into im
12.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.530 * [taylor]: Taking taylor expansion of im in re
12.530 * [backup-simplify]: Simplify im into im
12.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.530 * [backup-simplify]: Simplify (* 1 1) into 1
12.530 * [backup-simplify]: Simplify (+ 1 0) into 1
12.531 * [backup-simplify]: Simplify (sqrt 1) into 1
12.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.534 * [backup-simplify]: Simplify (+ 0 0) into 0
12.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.535 * [backup-simplify]: Simplify (log 1) into 0
12.535 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.535 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
12.535 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
12.535 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
12.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
12.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
12.535 * [taylor]: Taking taylor expansion of 1/3 in re
12.535 * [backup-simplify]: Simplify 1/3 into 1/3
12.536 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
12.536 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
12.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
12.536 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
12.536 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
12.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.536 * [taylor]: Taking taylor expansion of re in re
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 1 into 1
12.536 * [backup-simplify]: Simplify (/ 1 1) into 1
12.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re
12.536 * [taylor]: Taking taylor expansion of re in re
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 1 into 1
12.537 * [backup-simplify]: Simplify (/ 1 1) into 1
12.537 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
12.537 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.537 * [taylor]: Taking taylor expansion of im in re
12.537 * [backup-simplify]: Simplify im into im
12.537 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.537 * [taylor]: Taking taylor expansion of (/ 1 im) in re
12.537 * [taylor]: Taking taylor expansion of im in re
12.537 * [backup-simplify]: Simplify im into im
12.537 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
12.537 * [backup-simplify]: Simplify (* 1 1) into 1
12.538 * [backup-simplify]: Simplify (+ 1 0) into 1
12.538 * [backup-simplify]: Simplify (sqrt 1) into 1
12.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.541 * [backup-simplify]: Simplify (+ 0 0) into 0
12.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.542 * [backup-simplify]: Simplify (log 1) into 0
12.542 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.542 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
12.543 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
12.543 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
12.543 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
12.543 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
12.543 * [taylor]: Taking taylor expansion of -1/3 in im
12.543 * [backup-simplify]: Simplify -1/3 into -1/3
12.543 * [taylor]: Taking taylor expansion of (log re) in im
12.543 * [taylor]: Taking taylor expansion of re in im
12.543 * [backup-simplify]: Simplify re into re
12.543 * [backup-simplify]: Simplify (log re) into (log re)
12.543 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
12.543 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
12.543 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
12.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.545 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
12.546 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.546 * [taylor]: Taking taylor expansion of 0 in im
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
12.548 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
12.549 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.549 * [backup-simplify]: Simplify 0 into 0
12.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.552 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
12.552 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.553 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
12.556 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.557 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
12.558 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
12.558 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
12.558 * [taylor]: Taking taylor expansion of 1/6 in im
12.558 * [backup-simplify]: Simplify 1/6 into 1/6
12.558 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
12.558 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
12.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
12.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
12.558 * [taylor]: Taking taylor expansion of 1/3 in im
12.558 * [backup-simplify]: Simplify 1/3 into 1/3
12.558 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
12.558 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.558 * [taylor]: Taking taylor expansion of re in im
12.558 * [backup-simplify]: Simplify re into re
12.558 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.558 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
12.559 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
12.559 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
12.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.559 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.559 * [taylor]: Taking taylor expansion of im in im
12.559 * [backup-simplify]: Simplify 0 into 0
12.559 * [backup-simplify]: Simplify 1 into 1
12.559 * [backup-simplify]: Simplify (* 1 1) into 1
12.560 * [backup-simplify]: Simplify (/ 1 1) into 1
12.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
12.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
12.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
12.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
12.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
12.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
12.570 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.571 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
12.572 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
12.572 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
12.573 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
12.573 * [backup-simplify]: Simplify 0 into 0
12.573 * [backup-simplify]: Simplify 0 into 0
12.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
12.576 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
12.577 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.577 * [backup-simplify]: Simplify 0 into 0
12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
12.581 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
12.581 * [backup-simplify]: Simplify (+ 0 0) into 0
12.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.588 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.588 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
12.592 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.592 * [taylor]: Taking taylor expansion of 0 in im
12.592 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
12.592 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
12.592 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
12.592 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
12.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
12.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
12.592 * [taylor]: Taking taylor expansion of 1/3 in im
12.592 * [backup-simplify]: Simplify 1/3 into 1/3
12.592 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
12.592 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
12.593 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.593 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
12.593 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
12.593 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.593 * [taylor]: Taking taylor expansion of -1 in im
12.593 * [backup-simplify]: Simplify -1 into -1
12.593 * [taylor]: Taking taylor expansion of re in im
12.593 * [backup-simplify]: Simplify re into re
12.593 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.593 * [taylor]: Taking taylor expansion of (/ -1 re) in im
12.593 * [taylor]: Taking taylor expansion of -1 in im
12.593 * [backup-simplify]: Simplify -1 into -1
12.593 * [taylor]: Taking taylor expansion of re in im
12.593 * [backup-simplify]: Simplify re into re
12.593 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
12.593 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
12.593 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.593 * [taylor]: Taking taylor expansion of -1 in im
12.593 * [backup-simplify]: Simplify -1 into -1
12.593 * [taylor]: Taking taylor expansion of im in im
12.593 * [backup-simplify]: Simplify 0 into 0
12.593 * [backup-simplify]: Simplify 1 into 1
12.594 * [backup-simplify]: Simplify (/ -1 1) into -1
12.594 * [taylor]: Taking taylor expansion of (/ -1 im) in im
12.594 * [taylor]: Taking taylor expansion of -1 in im
12.594 * [backup-simplify]: Simplify -1 into -1
12.594 * [taylor]: Taking taylor expansion of im in im
12.594 * [backup-simplify]: Simplify 0 into 0
12.594 * [backup-simplify]: Simplify 1 into 1
12.594 * [backup-simplify]: Simplify (/ -1 1) into -1
12.595 * [backup-simplify]: Simplify (* -1 -1) into 1
12.595 * [backup-simplify]: Simplify (+ 0 1) into 1
12.596 * [backup-simplify]: Simplify (sqrt 1) into 1
12.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.598 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.598 * [backup-simplify]: Simplify (+ 0 0) into 0
12.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.600 * [backup-simplify]: Simplify (log 1) into 0
12.600 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
12.600 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
12.600 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
12.600 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
12.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
12.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
12.600 * [taylor]: Taking taylor expansion of 1/3 in re
12.600 * [backup-simplify]: Simplify 1/3 into 1/3
12.601 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
12.601 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.601 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.601 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.601 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.601 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.601 * [taylor]: Taking taylor expansion of -1 in re
12.601 * [backup-simplify]: Simplify -1 into -1
12.601 * [taylor]: Taking taylor expansion of re in re
12.601 * [backup-simplify]: Simplify 0 into 0
12.601 * [backup-simplify]: Simplify 1 into 1
12.601 * [backup-simplify]: Simplify (/ -1 1) into -1
12.601 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.601 * [taylor]: Taking taylor expansion of -1 in re
12.601 * [backup-simplify]: Simplify -1 into -1
12.601 * [taylor]: Taking taylor expansion of re in re
12.602 * [backup-simplify]: Simplify 0 into 0
12.602 * [backup-simplify]: Simplify 1 into 1
12.602 * [backup-simplify]: Simplify (/ -1 1) into -1
12.602 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.602 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.602 * [taylor]: Taking taylor expansion of -1 in re
12.602 * [backup-simplify]: Simplify -1 into -1
12.602 * [taylor]: Taking taylor expansion of im in re
12.602 * [backup-simplify]: Simplify im into im
12.602 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.602 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.602 * [taylor]: Taking taylor expansion of -1 in re
12.602 * [backup-simplify]: Simplify -1 into -1
12.602 * [taylor]: Taking taylor expansion of im in re
12.602 * [backup-simplify]: Simplify im into im
12.602 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.603 * [backup-simplify]: Simplify (* -1 -1) into 1
12.603 * [backup-simplify]: Simplify (+ 1 0) into 1
12.604 * [backup-simplify]: Simplify (sqrt 1) into 1
12.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.606 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.606 * [backup-simplify]: Simplify (+ 0 0) into 0
12.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.608 * [backup-simplify]: Simplify (log 1) into 0
12.608 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.609 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
12.609 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
12.609 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
12.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
12.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
12.609 * [taylor]: Taking taylor expansion of 1/3 in re
12.609 * [backup-simplify]: Simplify 1/3 into 1/3
12.609 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
12.609 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
12.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
12.609 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
12.609 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
12.609 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.609 * [taylor]: Taking taylor expansion of -1 in re
12.609 * [backup-simplify]: Simplify -1 into -1
12.609 * [taylor]: Taking taylor expansion of re in re
12.609 * [backup-simplify]: Simplify 0 into 0
12.609 * [backup-simplify]: Simplify 1 into 1
12.610 * [backup-simplify]: Simplify (/ -1 1) into -1
12.610 * [taylor]: Taking taylor expansion of (/ -1 re) in re
12.610 * [taylor]: Taking taylor expansion of -1 in re
12.610 * [backup-simplify]: Simplify -1 into -1
12.610 * [taylor]: Taking taylor expansion of re in re
12.610 * [backup-simplify]: Simplify 0 into 0
12.610 * [backup-simplify]: Simplify 1 into 1
12.610 * [backup-simplify]: Simplify (/ -1 1) into -1
12.610 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
12.611 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.611 * [taylor]: Taking taylor expansion of -1 in re
12.611 * [backup-simplify]: Simplify -1 into -1
12.611 * [taylor]: Taking taylor expansion of im in re
12.611 * [backup-simplify]: Simplify im into im
12.611 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.611 * [taylor]: Taking taylor expansion of (/ -1 im) in re
12.611 * [taylor]: Taking taylor expansion of -1 in re
12.611 * [backup-simplify]: Simplify -1 into -1
12.611 * [taylor]: Taking taylor expansion of im in re
12.611 * [backup-simplify]: Simplify im into im
12.611 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
12.611 * [backup-simplify]: Simplify (* -1 -1) into 1
12.612 * [backup-simplify]: Simplify (+ 1 0) into 1
12.612 * [backup-simplify]: Simplify (sqrt 1) into 1
12.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.614 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.615 * [backup-simplify]: Simplify (+ 0 0) into 0
12.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.616 * [backup-simplify]: Simplify (log 1) into 0
12.616 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.617 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
12.617 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
12.617 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
12.617 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
12.617 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
12.617 * [taylor]: Taking taylor expansion of -1/3 in im
12.617 * [backup-simplify]: Simplify -1/3 into -1/3
12.617 * [taylor]: Taking taylor expansion of (log re) in im
12.617 * [taylor]: Taking taylor expansion of re in im
12.617 * [backup-simplify]: Simplify re into re
12.617 * [backup-simplify]: Simplify (log re) into (log re)
12.617 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
12.617 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
12.617 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
12.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.619 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
12.621 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.621 * [taylor]: Taking taylor expansion of 0 in im
12.621 * [backup-simplify]: Simplify 0 into 0
12.621 * [backup-simplify]: Simplify 0 into 0
12.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
12.622 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
12.623 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
12.623 * [backup-simplify]: Simplify 0 into 0
12.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.626 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
12.627 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
12.628 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
12.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
12.630 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.631 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
12.632 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
12.632 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
12.632 * [taylor]: Taking taylor expansion of 1/6 in im
12.632 * [backup-simplify]: Simplify 1/6 into 1/6
12.632 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
12.632 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
12.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
12.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
12.632 * [taylor]: Taking taylor expansion of 1/3 in im
12.632 * [backup-simplify]: Simplify 1/3 into 1/3
12.632 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
12.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im
12.632 * [taylor]: Taking taylor expansion of re in im
12.633 * [backup-simplify]: Simplify re into re
12.633 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
12.633 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
12.633 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
12.633 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
12.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
12.633 * [taylor]: Taking taylor expansion of (pow im 2) in im
12.633 * [taylor]: Taking taylor expansion of im in im
12.633 * [backup-simplify]: Simplify 0 into 0
12.633 * [backup-simplify]: Simplify 1 into 1
12.633 * [backup-simplify]: Simplify (* 1 1) into 1
12.634 * [backup-simplify]: Simplify (/ 1 1) into 1
12.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
12.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
12.639 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
12.639 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
12.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
12.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
12.644 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.645 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
12.645 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
12.645 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
12.646 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
12.646 * [backup-simplify]: Simplify 0 into 0
12.646 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
12.649 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
12.651 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.651 * [backup-simplify]: Simplify 0 into 0
12.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.654 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.654 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
12.654 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
12.655 * [backup-simplify]: Simplify (+ 0 0) into 0
12.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
12.659 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.660 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
12.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
12.663 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.663 * [taylor]: Taking taylor expansion of 0 in im
12.663 * [backup-simplify]: Simplify 0 into 0
12.663 * [backup-simplify]: Simplify 0 into 0
12.663 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
12.663 * * * [progress]: simplifying candidates
12.669 * [simplify]: Simplifying:
  (fma (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (log1p (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (- re)
  (/ (exp (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))) (exp re))
  (log (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (exp (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re)))
  (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (* (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re)) (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re))
  (- (pow (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) 3) (pow re 3))
  (+ (* (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re)))
  (- re)
  (- (* (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))) (* re re))
  (+ (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re)
  (- re)
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  (log1p (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
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  (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2))
  (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2)))
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  (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2))
  (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2)))
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  (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)))
  (+ (+ (/ 1 2) 1/2) (* 2 1/2))
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  (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2)))
  (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2))
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  (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2)))
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  (+ 1/2 (/ 1 2))
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  (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2)))
  (+ (* 2 (/ 1 2)) (* 2 1/2))
  (+ (* 2 (/ 1 2)) (* 2 (/ 1 2)))
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  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))
  (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))
  (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))
  (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (+ 1 1)
  (+ 1 1)
  (+ (+ (log (sqrt (cbrt (hypot re im)))) (log (sqrt (cbrt (hypot re im))))) (+ (log (sqrt (cbrt (hypot re im)))) (log (sqrt (cbrt (hypot re im))))))
  (+ (+ (log (sqrt (cbrt (hypot re im)))) (log (sqrt (cbrt (hypot re im))))) (log (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (+ (log (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (+ (log (sqrt (cbrt (hypot re im)))) (log (sqrt (cbrt (hypot re im))))))
  (+ (log (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (log (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (log (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (exp (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (* (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))))
  (* (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (* (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))))
  (* (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (* (cbrt (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))) (cbrt (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))))
  (cbrt (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (* (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))) (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (sqrt (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* 2 (+ 1/2 1/2))
  (* 2 (+ 1/2 (/ 1 2)))
  (* 2 (+ 1 1))
  (* 2 (+ 1 1))
  (* 2 (+ (/ 1/3 2) (/ 1/3 2)))
  (* 2 (+ (/ 1 2) 1/2))
  (* 2 (+ (/ 1 2) (/ 1 2)))
  (* 2 1/2)
  (* 2 1)
  (* 2 1)
  (* 2 (/ 1/3 2))
  (* 2 (/ 1 2))
  (* 2 2)
  (* 2 (+ 1 1))
  (* 2 (+ 1 1))
  (* 2 1)
  (* 2 1)
  (* 2 (* 2 1/2))
  (* 2 (* 2 1))
  (* 2 (* 2 (/ 1/3 2)))
  (* 2 (* 2 (/ 1 2)))
  (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))
  (expm1 (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (log1p (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (+ 1/2 (/ (+ (+ (+ (/ 1/3 2) (/ 1/3 2)) (+ (/ 1/3 2) (/ 1/3 2))) 1/3) 2))
  (+ 1/2 (/ (+ (+ (+ (/ 1/3 2) (/ 1/3 2)) (* 2 (/ 1/3 2))) 1/3) 2))
  (+ 1/2 (/ (+ (+ (* 2 (/ 1/3 2)) (+ (/ 1/3 2) (/ 1/3 2))) 1/3) 2))
  (+ 1/2 (/ (+ (+ (* 2 (/ 1/3 2)) (* 2 (/ 1/3 2))) 1/3) 2))
  (+ 1/2 (/ (+ (* 2 (+ (/ 1/3 2) (/ 1/3 2))) 1/3) 2))
  (+ 1/2 (/ (+ (* 2 (* 2 (/ 1/3 2))) 1/3) 2))
  (+ (/ 1 2) (/ (+ (+ (+ (/ 1/3 2) (/ 1/3 2)) (+ (/ 1/3 2) (/ 1/3 2))) 1/3) 2))
  (+ (/ 1 2) (/ (+ (+ (+ (/ 1/3 2) (/ 1/3 2)) (* 2 (/ 1/3 2))) 1/3) 2))
  (+ (/ 1 2) (/ (+ (+ (* 2 (/ 1/3 2)) (+ (/ 1/3 2) (/ 1/3 2))) 1/3) 2))
  (+ (/ 1 2) (/ (+ (+ (* 2 (/ 1/3 2)) (* 2 (/ 1/3 2))) 1/3) 2))
  (+ (/ 1 2) (/ (+ (* 2 (+ (/ 1/3 2) (/ 1/3 2))) 1/3) 2))
  (+ (/ 1 2) (/ (+ (* 2 (* 2 (/ 1/3 2))) 1/3) 2))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (+ (log (sqrt (hypot re im))) (log (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (log (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (exp (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (* (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (hypot re im) (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) (cbrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))))
  (* (sqrt (hypot re im)) (sqrt (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt 1)
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (- im re)
  0
  (* -2 re)
  (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  im
  re
  (* -1 re)
  (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
12.672 * * [simplify]: iteration 0: 252 enodes
12.928 * * [simplify]: iteration 1: 716 enodes
13.278 * * [simplify]: iteration 2: 2096 enodes
14.180 * * [simplify]: iteration complete: 5000 enodes
14.180 * * [simplify]: Extracting #0: cost 65 inf + 0
14.183 * * [simplify]: Extracting #1: cost 1311 inf + 162
14.200 * * [simplify]: Extracting #2: cost 640 inf + 125934
14.261 * * [simplify]: Extracting #3: cost 132 inf + 192190
14.311 * * [simplify]: Extracting #4: cost 88 inf + 208810
14.363 * * [simplify]: Extracting #5: cost 56 inf + 217754
14.420 * * [simplify]: Extracting #6: cost 32 inf + 225536
14.476 * * [simplify]: Extracting #7: cost 28 inf + 224782
14.523 * * [simplify]: Extracting #8: cost 5 inf + 235160
14.566 * * [simplify]: Extracting #9: cost 0 inf + 237725
14.636 * [simplify]: Simplified to:
  (- (hypot re im) re)
  (fma -1 re re)
  (- (hypot re im) re)
  (fma -1 re re)
  (- (hypot re im) re)
  (fma -1 re re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* re re) re))
  (fma (hypot re im) (hypot re im) (* re (+ re (hypot re im))))
  (- re)
  (* (+ (hypot re im) re) (- (hypot re im) re))
  (+ re (hypot re im))
  (- re)
  (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  2
  2
  2
  2
  2
  2
  2
  2
  2
  2
  2
  2
  4
  4
  4
  4
  2/3
  2/3
  2
  2
  2
  2
  2
  2
  2
  2
  2
  2
  2
  2
  1
  1
  2
  2
  1/3
  1
  1
  4
  4
  4
  4
  4
  4
  4
  4
  2
  2
  2
  2
  2
  2
  2
  2
  4
  4
  4
  4
  2/3
  2/3
  2
  2
  2
  2
  2
  2
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (hypot re im) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))
  (* (hypot re im) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  2
  2
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (exp (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (cbrt (hypot re im)))
  (fabs (cbrt (hypot re im)))
  (fabs (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  2
  2
  4
  4
  2/3
  2
  2
  1
  2
  2
  1/3
  1
  4
  4
  4
  2
  2
  2
  4
  2/3
  2
  (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  1
  1
  1
  1
  1
  1
  1
  1
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (- im re)
  0
  (* -2 re)
  (fma (cbrt (/ (/ 1 (* im im)) (* im im))) (* (* 1/3 re) re) (* (cbrt im) (cbrt im)))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  im
  re
  (- re)
  (fma (* 1/6 (cbrt (/ 1 (pow im 5)))) (* re re) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
14.672 * * * [progress]: adding candidates to table
15.493 * [progress]: [Phase 3 of 3] Extracting.
15.493 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (pow (hypot re im) 1/3)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re) 2.0))))>)
15.497 * * * [regime-changes]: Trying 2 branch expressions: (im re)
15.498 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (pow (hypot re im) 1/3)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re) 2.0))))>)
15.595 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im)))) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (pow (hypot re im) 1/3)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (* (* (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re) 2.0))))>)
15.666 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
15.667 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
15.667 * * [simplify]: iteration 0: 9 enodes
15.668 * * [simplify]: iteration 1: 11 enodes
15.668 * * [simplify]: iteration complete: 11 enodes
15.668 * * [simplify]: Extracting #0: cost 1 inf + 0
15.668 * * [simplify]: Extracting #1: cost 3 inf + 0
15.668 * * [simplify]: Extracting #2: cost 3 inf + 1
15.668 * * [simplify]: Extracting #3: cost 5 inf + 1
15.668 * * [simplify]: Extracting #4: cost 6 inf + 2
15.668 * * [simplify]: Extracting #5: cost 6 inf + 3
15.668 * * [simplify]: Extracting #6: cost 0 inf + 693
15.668 * [simplify]: Simplified to:
  (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
19.641 * [regime-testing]: Baseline error score: 13.3832593764064
19.651 * [regime-testing]: Oracle error score: 13.162742058037626
19.670 * [regime-testing]: End program error score: 13.3832593764064