0.623 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.134 * * * [progress]: [2/2] Setting up program.
0.146 * [progress]: [Phase 2 of 3] Improving.
0.149 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.150 * * [simplify]: iteration 0: 12 enodes
0.162 * * [simplify]: iteration 1: 19 enodes
0.168 * * [simplify]: iteration 2: 27 enodes
0.176 * * [simplify]: iteration 3: 35 enodes
0.187 * * [simplify]: iteration 4: 42 enodes
0.198 * * [simplify]: iteration 5: 44 enodes
0.207 * * [simplify]: iteration complete: 44 enodes
0.207 * * [simplify]: Extracting #0: cost 1 inf + 0
0.208 * * [simplify]: Extracting #1: cost 3 inf + 0
0.208 * * [simplify]: Extracting #2: cost 3 inf + 1
0.208 * * [simplify]: Extracting #3: cost 12 inf + 1
0.208 * * [simplify]: Extracting #4: cost 10 inf + 85
0.209 * * [simplify]: Extracting #5: cost 7 inf + 460
0.209 * * [simplify]: Extracting #6: cost 1 inf + 1189
0.210 * * [simplify]: Extracting #7: cost 0 inf + 1176
0.210 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
0.226 * * [progress]: iteration 1 / 4
0.226 * * * [progress]: picking best candidate
0.262 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
0.262 * * * [progress]: localizing error
0.292 * * * [progress]: generating rewritten candidates
0.292 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1)
0.306 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1 1)
0.311 * * * [progress]: generating series expansions
0.312 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1)
0.317 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
0.317 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
0.318 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.318 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.320 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.320 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.320 * [taylor]: Taking taylor expansion of (* re re) in im
0.320 * [taylor]: Taking taylor expansion of re in im
0.320 * [backup-simplify]: Simplify re into re
0.320 * [taylor]: Taking taylor expansion of re in im
0.320 * [backup-simplify]: Simplify re into re
0.320 * [taylor]: Taking taylor expansion of (* im im) in im
0.320 * [taylor]: Taking taylor expansion of im in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of im in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.323 * [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
0.326 * [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
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.329 * [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
0.338 * [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
0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.341 * [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
0.347 * [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)
0.348 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
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
0.348 * [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
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (+ 0 1) into 1
0.350 * [backup-simplify]: Simplify (sqrt 1) into 1
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.353 * [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
0.354 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.354 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.354 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.354 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.354 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
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 re) in re
0.355 * [taylor]: Taking taylor expansion of re in re
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.355 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.355 * [taylor]: Taking taylor expansion of im in re
0.355 * [backup-simplify]: Simplify im into im
0.355 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.355 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.355 * [taylor]: Taking taylor expansion of im in re
0.355 * [backup-simplify]: Simplify im into im
0.355 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (+ 1 0) into 1
0.357 * [backup-simplify]: Simplify (sqrt 1) into 1
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.360 * [taylor]: Taking taylor expansion of re in re
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.361 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.361 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.361 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.361 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.361 * [taylor]: Taking taylor expansion of re in re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.361 * [taylor]: Taking taylor expansion of re in re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.362 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.362 * [taylor]: Taking taylor expansion of im in re
0.362 * [backup-simplify]: Simplify im into im
0.362 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.362 * [taylor]: Taking taylor expansion of im in re
0.362 * [backup-simplify]: Simplify im into im
0.362 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (sqrt 1) into 1
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [backup-simplify]: Simplify (- 1) into -1
0.368 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in im
0.368 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (- 0) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.372 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.373 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.374 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (- 0) into 0
0.375 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.375 * [taylor]: Taking taylor expansion of 1/2 in im
0.376 * [backup-simplify]: Simplify 1/2 into 1/2
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.376 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.376 * [taylor]: Taking taylor expansion of im in im
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (- 0) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.384 * [taylor]: Taking taylor expansion of 0 in im
0.385 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.389 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.389 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
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 im
0.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.389 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.389 * [taylor]: Taking taylor expansion of -1 in im
0.389 * [backup-simplify]: Simplify -1 into -1
0.389 * [taylor]: Taking taylor expansion of re in im
0.389 * [backup-simplify]: Simplify re into re
0.389 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.389 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.389 * [taylor]: Taking taylor expansion of -1 in im
0.389 * [backup-simplify]: Simplify -1 into -1
0.389 * [taylor]: Taking taylor expansion of re in im
0.389 * [backup-simplify]: Simplify re into re
0.389 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.389 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.390 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.390 * [taylor]: Taking taylor expansion of -1 in im
0.390 * [backup-simplify]: Simplify -1 into -1
0.390 * [taylor]: Taking taylor expansion of im in im
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (/ -1 1) into -1
0.390 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.390 * [taylor]: Taking taylor expansion of -1 in im
0.390 * [backup-simplify]: Simplify -1 into -1
0.390 * [taylor]: Taking taylor expansion of im in im
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (/ -1 1) into -1
0.391 * [backup-simplify]: Simplify (* -1 -1) into 1
0.391 * [backup-simplify]: Simplify (+ 0 1) into 1
0.391 * [backup-simplify]: Simplify (sqrt 1) into 1
0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.393 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.393 * [taylor]: Taking taylor expansion of re in im
0.393 * [backup-simplify]: Simplify re into re
0.393 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.394 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.394 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.394 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.394 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.394 * [taylor]: Taking taylor expansion of -1 in re
0.394 * [backup-simplify]: Simplify -1 into -1
0.394 * [taylor]: Taking taylor expansion of re in re
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (/ -1 1) into -1
0.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.394 * [taylor]: Taking taylor expansion of -1 in re
0.394 * [backup-simplify]: Simplify -1 into -1
0.394 * [taylor]: Taking taylor expansion of re in re
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (/ -1 1) into -1
0.394 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.395 * [taylor]: Taking taylor expansion of -1 in re
0.395 * [backup-simplify]: Simplify -1 into -1
0.395 * [taylor]: Taking taylor expansion of im in re
0.395 * [backup-simplify]: Simplify im into im
0.395 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.395 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.395 * [taylor]: Taking taylor expansion of -1 in re
0.395 * [backup-simplify]: Simplify -1 into -1
0.395 * [taylor]: Taking taylor expansion of im in re
0.395 * [backup-simplify]: Simplify im into im
0.395 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.395 * [backup-simplify]: Simplify (* -1 -1) into 1
0.395 * [backup-simplify]: Simplify (+ 1 0) into 1
0.395 * [backup-simplify]: Simplify (sqrt 1) into 1
0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.398 * [taylor]: Taking taylor expansion of re in re
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (/ 1 1) into 1
0.398 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.398 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.398 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.398 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.398 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.398 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.398 * [taylor]: Taking taylor expansion of -1 in re
0.398 * [backup-simplify]: Simplify -1 into -1
0.398 * [taylor]: Taking taylor expansion of re in re
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (/ -1 1) into -1
0.398 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.398 * [taylor]: Taking taylor expansion of -1 in re
0.398 * [backup-simplify]: Simplify -1 into -1
0.398 * [taylor]: Taking taylor expansion of re in re
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (/ -1 1) into -1
0.399 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.399 * [taylor]: Taking taylor expansion of -1 in re
0.399 * [backup-simplify]: Simplify -1 into -1
0.399 * [taylor]: Taking taylor expansion of im in re
0.399 * [backup-simplify]: Simplify im into im
0.399 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.399 * [taylor]: Taking taylor expansion of -1 in re
0.399 * [backup-simplify]: Simplify -1 into -1
0.399 * [taylor]: Taking taylor expansion of im in re
0.399 * [backup-simplify]: Simplify im into im
0.399 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.399 * [backup-simplify]: Simplify (* -1 -1) into 1
0.400 * [backup-simplify]: Simplify (+ 1 0) into 1
0.408 * [backup-simplify]: Simplify (sqrt 1) into 1
0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.414 * [taylor]: Taking taylor expansion of re in re
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (/ 1 1) into 1
0.414 * [backup-simplify]: Simplify (+ 1 1) into 2
0.414 * [taylor]: Taking taylor expansion of 2 in im
0.414 * [backup-simplify]: Simplify 2 into 2
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [taylor]: Taking taylor expansion of 0 in im
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 2 into 2
0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.419 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.421 * [taylor]: Taking taylor expansion of 1/2 in im
0.421 * [backup-simplify]: Simplify 1/2 into 1/2
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.421 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.421 * [taylor]: Taking taylor expansion of im in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.428 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.428 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [taylor]: Taking taylor expansion of 0 in im
0.431 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.434 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1 1)
0.434 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.434 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.434 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.434 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.434 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.434 * [taylor]: Taking taylor expansion of (* re re) in im
0.434 * [taylor]: Taking taylor expansion of re in im
0.434 * [backup-simplify]: Simplify re into re
0.434 * [taylor]: Taking taylor expansion of re in im
0.434 * [backup-simplify]: Simplify re into re
0.434 * [taylor]: Taking taylor expansion of (* im im) in im
0.434 * [taylor]: Taking taylor expansion of im in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [taylor]: Taking taylor expansion of im in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.435 * [backup-simplify]: Simplify (* 0 0) into 0
0.435 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.435 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.435 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.436 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.437 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.437 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.437 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.437 * [taylor]: Taking taylor expansion of (* re re) in re
0.437 * [taylor]: Taking taylor expansion of re in re
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [taylor]: Taking taylor expansion of re in re
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [taylor]: Taking taylor expansion of (* im im) in re
0.437 * [taylor]: Taking taylor expansion of im in re
0.437 * [backup-simplify]: Simplify im into im
0.437 * [taylor]: Taking taylor expansion of im in re
0.437 * [backup-simplify]: Simplify im into im
0.438 * [backup-simplify]: Simplify (* 0 0) into 0
0.438 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.438 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.438 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.439 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.440 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.440 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.440 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.440 * [taylor]: Taking taylor expansion of (* re re) in re
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
0.440 * [taylor]: Taking taylor expansion of re in re
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.440 * [taylor]: Taking taylor expansion of (* im im) in re
0.440 * [taylor]: Taking taylor expansion of im in re
0.440 * [backup-simplify]: Simplify im into im
0.440 * [taylor]: Taking taylor expansion of im in re
0.440 * [backup-simplify]: Simplify im into im
0.440 * [backup-simplify]: Simplify (* 0 0) into 0
0.441 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.441 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.441 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.442 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.442 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.442 * [taylor]: Taking taylor expansion of im in im
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [taylor]: Taking taylor expansion of 0 in im
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.444 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.444 * [backup-simplify]: Simplify (+ 1 0) into 1
0.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.445 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.445 * [taylor]: Taking taylor expansion of 1/2 in im
0.445 * [backup-simplify]: Simplify 1/2 into 1/2
0.445 * [taylor]: Taking taylor expansion of im in im
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.449 * [taylor]: Taking taylor expansion of 0 in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.451 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.451 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.451 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.451 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.451 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.451 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.451 * [taylor]: Taking taylor expansion of re in im
0.451 * [backup-simplify]: Simplify re into re
0.451 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.451 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.451 * [taylor]: Taking taylor expansion of re in im
0.451 * [backup-simplify]: Simplify re into re
0.452 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.452 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 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
0.452 * [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
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (+ 0 1) into 1
0.454 * [backup-simplify]: Simplify (sqrt 1) into 1
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.457 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.457 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.457 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.457 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.458 * [taylor]: Taking taylor expansion of re in re
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.458 * [taylor]: Taking taylor expansion of re in re
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.459 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.459 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.459 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.459 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.459 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (+ 1 0) into 1
0.460 * [backup-simplify]: Simplify (sqrt 1) into 1
0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.463 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.464 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.464 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.464 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (/ 1 1) into 1
0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.465 * [taylor]: Taking taylor expansion of im in re
0.465 * [backup-simplify]: Simplify im into im
0.465 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.465 * [taylor]: Taking taylor expansion of im in re
0.465 * [backup-simplify]: Simplify im into im
0.465 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.466 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (+ 1 0) into 1
0.466 * [backup-simplify]: Simplify (sqrt 1) into 1
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.470 * [taylor]: Taking taylor expansion of 1 in im
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [taylor]: Taking taylor expansion of 0 in im
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.473 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.473 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.475 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.475 * [taylor]: Taking taylor expansion of 1/2 in im
0.475 * [backup-simplify]: Simplify 1/2 into 1/2
0.475 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.475 * [taylor]: Taking taylor expansion of im in im
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.481 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.482 * [taylor]: Taking taylor expansion of 0 in im
0.482 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.485 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.485 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.485 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.485 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.485 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.485 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.485 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.485 * [taylor]: Taking taylor expansion of -1 in im
0.485 * [backup-simplify]: Simplify -1 into -1
0.485 * [taylor]: Taking taylor expansion of re in im
0.485 * [backup-simplify]: Simplify re into re
0.485 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.485 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.486 * [taylor]: Taking taylor expansion of -1 in im
0.486 * [backup-simplify]: Simplify -1 into -1
0.486 * [taylor]: Taking taylor expansion of re in im
0.486 * [backup-simplify]: Simplify re into re
0.486 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.486 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.486 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.486 * [taylor]: Taking taylor expansion of -1 in im
0.486 * [backup-simplify]: Simplify -1 into -1
0.486 * [taylor]: Taking taylor expansion of im in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (/ -1 1) into -1
0.486 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.487 * [taylor]: Taking taylor expansion of -1 in im
0.487 * [backup-simplify]: Simplify -1 into -1
0.487 * [taylor]: Taking taylor expansion of im in im
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ -1 1) into -1
0.488 * [backup-simplify]: Simplify (* -1 -1) into 1
0.488 * [backup-simplify]: Simplify (+ 0 1) into 1
0.488 * [backup-simplify]: Simplify (sqrt 1) into 1
0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.491 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.492 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.492 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.492 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.492 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.492 * [taylor]: Taking taylor expansion of -1 in re
0.492 * [backup-simplify]: Simplify -1 into -1
0.492 * [taylor]: Taking taylor expansion of re in re
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ -1 1) into -1
0.493 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.493 * [taylor]: Taking taylor expansion of -1 in re
0.493 * [backup-simplify]: Simplify -1 into -1
0.493 * [taylor]: Taking taylor expansion of re in re
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (/ -1 1) into -1
0.494 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.494 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.494 * [taylor]: Taking taylor expansion of -1 in re
0.494 * [backup-simplify]: Simplify -1 into -1
0.494 * [taylor]: Taking taylor expansion of im in re
0.494 * [backup-simplify]: Simplify im into im
0.494 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.494 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.494 * [taylor]: Taking taylor expansion of -1 in re
0.494 * [backup-simplify]: Simplify -1 into -1
0.494 * [taylor]: Taking taylor expansion of im in re
0.494 * [backup-simplify]: Simplify im into im
0.494 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.494 * [backup-simplify]: Simplify (* -1 -1) into 1
0.495 * [backup-simplify]: Simplify (+ 1 0) into 1
0.495 * [backup-simplify]: Simplify (sqrt 1) into 1
0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.499 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.499 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.499 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.499 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.499 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.499 * [taylor]: Taking taylor expansion of -1 in re
0.499 * [backup-simplify]: Simplify -1 into -1
0.499 * [taylor]: Taking taylor expansion of re in re
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (/ -1 1) into -1
0.500 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.500 * [taylor]: Taking taylor expansion of -1 in re
0.500 * [backup-simplify]: Simplify -1 into -1
0.500 * [taylor]: Taking taylor expansion of re in re
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (/ -1 1) into -1
0.500 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.500 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.501 * [taylor]: Taking taylor expansion of -1 in re
0.501 * [backup-simplify]: Simplify -1 into -1
0.501 * [taylor]: Taking taylor expansion of im in re
0.501 * [backup-simplify]: Simplify im into im
0.501 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.501 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.501 * [taylor]: Taking taylor expansion of -1 in re
0.501 * [backup-simplify]: Simplify -1 into -1
0.501 * [taylor]: Taking taylor expansion of im in re
0.501 * [backup-simplify]: Simplify im into im
0.501 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.501 * [backup-simplify]: Simplify (* -1 -1) into 1
0.502 * [backup-simplify]: Simplify (+ 1 0) into 1
0.502 * [backup-simplify]: Simplify (sqrt 1) into 1
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.506 * [taylor]: Taking taylor expansion of 1 in im
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [taylor]: Taking taylor expansion of 0 in im
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.509 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.509 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.511 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.511 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.511 * [taylor]: Taking taylor expansion of 1/2 in im
0.511 * [backup-simplify]: Simplify 1/2 into 1/2
0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.511 * [taylor]: Taking taylor expansion of im in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.517 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.517 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.518 * [taylor]: Taking taylor expansion of 0 in im
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.521 * * * [progress]: simplifying candidates
0.522 * [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 (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)
0.523 * * [simplify]: iteration 0: 69 enodes
0.543 * * [simplify]: iteration 1: 140 enodes
0.583 * * [simplify]: iteration 2: 260 enodes
0.646 * * [simplify]: iteration 3: 663 enodes
0.993 * * [simplify]: iteration 4: 1608 enodes
2.575 * * [simplify]: iteration 5: 4501 enodes
3.602 * * [simplify]: iteration complete: 5000 enodes
3.602 * * [simplify]: Extracting #0: cost 31 inf + 0
3.603 * * [simplify]: Extracting #1: cost 190 inf + 3
3.609 * * [simplify]: Extracting #2: cost 601 inf + 4051
3.638 * * [simplify]: Extracting #3: cost 328 inf + 65972
3.668 * * [simplify]: Extracting #4: cost 60 inf + 144362
3.706 * * [simplify]: Extracting #5: cost 1 inf + 167060
3.743 * * [simplify]: Extracting #6: cost 0 inf + 167548
3.806 * [simplify]: Simplified to:
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (- (hypot re im) re)
  (* re 0)
  (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 (+ (hypot re im) re) re (* (hypot re im) (hypot re im)))
  (- re)
  (* (- (hypot re im) re) (+ (hypot re im) re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- 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
  (* -2 re)
  im
  re
  (- re)
3.811 * * * [progress]: adding candidates to table
3.988 * * [progress]: iteration 2 / 4
3.988 * * * [progress]: picking best candidate
4.023 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))>
4.024 * * * [progress]: localizing error
4.049 * * * [progress]: generating rewritten candidates
4.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
4.061 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
4.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1)
4.081 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1)
4.085 * * * [progress]: generating series expansions
4.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
4.086 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
4.086 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
4.086 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
4.086 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.086 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.086 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.086 * [taylor]: Taking taylor expansion of (* re re) in im
4.086 * [taylor]: Taking taylor expansion of re in im
4.086 * [backup-simplify]: Simplify re into re
4.086 * [taylor]: Taking taylor expansion of re in im
4.086 * [backup-simplify]: Simplify re into re
4.086 * [taylor]: Taking taylor expansion of (* im im) 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
4.086 * [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 (* re re) into (pow re 2)
4.087 * [backup-simplify]: Simplify (* 0 0) into 0
4.088 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.088 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.088 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.088 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.089 * [taylor]: Taking taylor expansion of re in im
4.089 * [backup-simplify]: Simplify re into re
4.089 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.089 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.089 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.089 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.089 * [taylor]: Taking taylor expansion of (* re re) in re
4.089 * [taylor]: Taking taylor expansion of re in re
4.089 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify 1 into 1
4.089 * [taylor]: Taking taylor expansion of re in re
4.089 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify 1 into 1
4.089 * [taylor]: Taking taylor expansion of (* im im) in re
4.089 * [taylor]: Taking taylor expansion of im in re
4.089 * [backup-simplify]: Simplify im into im
4.089 * [taylor]: Taking taylor expansion of im in re
4.089 * [backup-simplify]: Simplify im into im
4.090 * [backup-simplify]: Simplify (* 0 0) into 0
4.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.091 * [backup-simplify]: Simplify (+ 0 0) into 0
4.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.091 * [taylor]: Taking taylor expansion of re in re
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 1 into 1
4.092 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
4.092 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.092 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.092 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.092 * [taylor]: Taking taylor expansion of (* re re) in re
4.092 * [taylor]: Taking taylor expansion of re in re
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 1 into 1
4.092 * [taylor]: Taking taylor expansion of re in re
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 1 into 1
4.092 * [taylor]: Taking taylor expansion of (* im im) in re
4.092 * [taylor]: Taking taylor expansion of im in re
4.092 * [backup-simplify]: Simplify im into im
4.092 * [taylor]: Taking taylor expansion of im in re
4.092 * [backup-simplify]: Simplify im into im
4.092 * [backup-simplify]: Simplify (* 0 0) into 0
4.093 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.093 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.093 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.094 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.094 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.094 * [backup-simplify]: Simplify (+ 0 0) into 0
4.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.094 * [taylor]: Taking taylor expansion of re in re
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.095 * [backup-simplify]: Simplify (- 0) into 0
4.095 * [backup-simplify]: Simplify (+ im 0) into im
4.095 * [taylor]: Taking taylor expansion of im in im
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify (- 1) into -1
4.096 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.096 * [taylor]: Taking taylor expansion of -1 in im
4.096 * [backup-simplify]: Simplify -1 into -1
4.096 * [backup-simplify]: Simplify -1 into -1
4.096 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.097 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.097 * [backup-simplify]: Simplify (+ 1 0) into 1
4.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.098 * [backup-simplify]: Simplify (- 0) into 0
4.099 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.099 * [taylor]: Taking taylor expansion of 1/2 in im
4.099 * [backup-simplify]: Simplify 1/2 into 1/2
4.099 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.099 * [taylor]: Taking taylor expansion of im in im
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.103 * [backup-simplify]: Simplify (+ 0 0) into 0
4.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.103 * [backup-simplify]: Simplify (- 0) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [taylor]: Taking taylor expansion of 0 in im
4.104 * [backup-simplify]: Simplify 0 into 0
4.104 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.106 * [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))
4.106 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
4.106 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
4.106 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.107 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.107 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.107 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.107 * [taylor]: Taking taylor expansion of re in im
4.107 * [backup-simplify]: Simplify re into re
4.107 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.107 * [taylor]: Taking taylor expansion of re in im
4.107 * [backup-simplify]: Simplify re into re
4.107 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.107 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.107 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.107 * [taylor]: Taking taylor expansion of im in im
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 1 into 1
4.107 * [backup-simplify]: Simplify (/ 1 1) into 1
4.107 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.107 * [taylor]: Taking taylor expansion of im in im
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [backup-simplify]: Simplify (/ 1 1) into 1
4.108 * [backup-simplify]: Simplify (* 1 1) into 1
4.109 * [backup-simplify]: Simplify (+ 0 1) into 1
4.109 * [backup-simplify]: Simplify (sqrt 1) into 1
4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.112 * [backup-simplify]: Simplify (+ 0 0) into 0
4.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.113 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.113 * [taylor]: Taking taylor expansion of re in im
4.113 * [backup-simplify]: Simplify re into re
4.113 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.113 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.113 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.113 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.113 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.113 * [taylor]: Taking taylor expansion of re in re
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify (/ 1 1) into 1
4.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.114 * [taylor]: Taking taylor expansion of re in re
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify (/ 1 1) into 1
4.114 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.114 * [taylor]: Taking taylor expansion of im in re
4.114 * [backup-simplify]: Simplify im into im
4.114 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.114 * [taylor]: Taking taylor expansion of im in re
4.114 * [backup-simplify]: Simplify im into im
4.114 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.115 * [backup-simplify]: Simplify (* 1 1) into 1
4.115 * [backup-simplify]: Simplify (+ 1 0) into 1
4.115 * [backup-simplify]: Simplify (sqrt 1) into 1
4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.119 * [taylor]: Taking taylor expansion of re in re
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.119 * [backup-simplify]: Simplify (/ 1 1) into 1
4.119 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
4.119 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.119 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.119 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.119 * [taylor]: Taking taylor expansion of re in re
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.120 * [backup-simplify]: Simplify (/ 1 1) into 1
4.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.120 * [taylor]: Taking taylor expansion of re in re
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.120 * [backup-simplify]: Simplify (/ 1 1) into 1
4.120 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.120 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.120 * [taylor]: Taking taylor expansion of im in re
4.120 * [backup-simplify]: Simplify im into im
4.120 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.120 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.120 * [taylor]: Taking taylor expansion of im in re
4.120 * [backup-simplify]: Simplify im into im
4.121 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.121 * [backup-simplify]: Simplify (* 1 1) into 1
4.121 * [backup-simplify]: Simplify (+ 1 0) into 1
4.122 * [backup-simplify]: Simplify (sqrt 1) into 1
4.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.124 * [backup-simplify]: Simplify (+ 0 0) into 0
4.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.125 * [taylor]: Taking taylor expansion of re in re
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.125 * [backup-simplify]: Simplify (/ 1 1) into 1
4.126 * [backup-simplify]: Simplify (- 1) into -1
4.126 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.126 * [taylor]: Taking taylor expansion of 0 in im
4.126 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.127 * [backup-simplify]: Simplify (- 0) into 0
4.128 * [backup-simplify]: Simplify (+ 0 0) into 0
4.128 * [taylor]: Taking taylor expansion of 0 in im
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.131 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.131 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.133 * [backup-simplify]: Simplify (- 0) into 0
4.134 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.134 * [taylor]: Taking taylor expansion of 1/2 in im
4.134 * [backup-simplify]: Simplify 1/2 into 1/2
4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.134 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.134 * [taylor]: Taking taylor expansion of im in im
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 1 into 1
4.134 * [backup-simplify]: Simplify (* 1 1) into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.141 * [backup-simplify]: Simplify (+ 0 0) into 0
4.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.143 * [backup-simplify]: Simplify (- 0) into 0
4.143 * [backup-simplify]: Simplify (+ 0 0) into 0
4.143 * [taylor]: Taking taylor expansion of 0 in im
4.143 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 0 into 0
4.147 * [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))
4.147 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
4.147 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
4.147 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.147 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.147 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.147 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.147 * [taylor]: Taking taylor expansion of -1 in im
4.147 * [backup-simplify]: Simplify -1 into -1
4.147 * [taylor]: Taking taylor expansion of re in im
4.147 * [backup-simplify]: Simplify re into re
4.147 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.147 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.147 * [taylor]: Taking taylor expansion of -1 in im
4.147 * [backup-simplify]: Simplify -1 into -1
4.147 * [taylor]: Taking taylor expansion of re in im
4.147 * [backup-simplify]: Simplify re into re
4.148 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.148 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.148 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.148 * [taylor]: Taking taylor expansion of -1 in im
4.148 * [backup-simplify]: Simplify -1 into -1
4.148 * [taylor]: Taking taylor expansion of im in im
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify 1 into 1
4.148 * [backup-simplify]: Simplify (/ -1 1) into -1
4.148 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.148 * [taylor]: Taking taylor expansion of -1 in im
4.148 * [backup-simplify]: Simplify -1 into -1
4.148 * [taylor]: Taking taylor expansion of im in im
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify 1 into 1
4.149 * [backup-simplify]: Simplify (/ -1 1) into -1
4.149 * [backup-simplify]: Simplify (* -1 -1) into 1
4.150 * [backup-simplify]: Simplify (+ 0 1) into 1
4.150 * [backup-simplify]: Simplify (sqrt 1) into 1
4.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.153 * [backup-simplify]: Simplify (+ 0 0) into 0
4.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.153 * [taylor]: Taking taylor expansion of re in im
4.153 * [backup-simplify]: Simplify re into re
4.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.153 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.153 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.154 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.154 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.154 * [taylor]: Taking taylor expansion of -1 in re
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [taylor]: Taking taylor expansion of re in re
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [backup-simplify]: Simplify (/ -1 1) into -1
4.154 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.154 * [taylor]: Taking taylor expansion of -1 in re
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [taylor]: Taking taylor expansion of re in re
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.155 * [backup-simplify]: Simplify (/ -1 1) into -1
4.155 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.155 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.155 * [taylor]: Taking taylor expansion of -1 in re
4.155 * [backup-simplify]: Simplify -1 into -1
4.155 * [taylor]: Taking taylor expansion of im in re
4.155 * [backup-simplify]: Simplify im into im
4.155 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.155 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.155 * [taylor]: Taking taylor expansion of -1 in re
4.155 * [backup-simplify]: Simplify -1 into -1
4.155 * [taylor]: Taking taylor expansion of im in re
4.155 * [backup-simplify]: Simplify im into im
4.155 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.156 * [backup-simplify]: Simplify (* -1 -1) into 1
4.156 * [backup-simplify]: Simplify (+ 1 0) into 1
4.156 * [backup-simplify]: Simplify (sqrt 1) into 1
4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.159 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.159 * [backup-simplify]: Simplify (+ 0 0) into 0
4.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.160 * [taylor]: Taking taylor expansion of re in re
4.160 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify 1 into 1
4.160 * [backup-simplify]: Simplify (/ 1 1) into 1
4.160 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
4.160 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.160 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.160 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.161 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.161 * [taylor]: Taking taylor expansion of -1 in re
4.161 * [backup-simplify]: Simplify -1 into -1
4.161 * [taylor]: Taking taylor expansion of re in re
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 1 into 1
4.161 * [backup-simplify]: Simplify (/ -1 1) into -1
4.161 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.161 * [taylor]: Taking taylor expansion of -1 in re
4.161 * [backup-simplify]: Simplify -1 into -1
4.161 * [taylor]: Taking taylor expansion of re in re
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 1 into 1
4.162 * [backup-simplify]: Simplify (/ -1 1) into -1
4.162 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.162 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.162 * [taylor]: Taking taylor expansion of -1 in re
4.162 * [backup-simplify]: Simplify -1 into -1
4.162 * [taylor]: Taking taylor expansion of im in re
4.162 * [backup-simplify]: Simplify im into im
4.162 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.162 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.162 * [taylor]: Taking taylor expansion of -1 in re
4.162 * [backup-simplify]: Simplify -1 into -1
4.162 * [taylor]: Taking taylor expansion of im in re
4.162 * [backup-simplify]: Simplify im into im
4.162 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.162 * [backup-simplify]: Simplify (* -1 -1) into 1
4.167 * [backup-simplify]: Simplify (+ 1 0) into 1
4.168 * [backup-simplify]: Simplify (sqrt 1) into 1
4.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.170 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.171 * [taylor]: Taking taylor expansion of re in re
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify 1 into 1
4.172 * [backup-simplify]: Simplify (/ 1 1) into 1
4.172 * [backup-simplify]: Simplify (+ 1 1) into 2
4.172 * [taylor]: Taking taylor expansion of 2 in im
4.172 * [backup-simplify]: Simplify 2 into 2
4.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.174 * [backup-simplify]: Simplify (+ 0 0) into 0
4.174 * [taylor]: Taking taylor expansion of 0 in im
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 2 into 2
4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.177 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.177 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.177 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.180 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.180 * [taylor]: Taking taylor expansion of 1/2 in im
4.180 * [backup-simplify]: Simplify 1/2 into 1/2
4.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.180 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.180 * [taylor]: Taking taylor expansion of im in im
4.180 * [backup-simplify]: Simplify 0 into 0
4.180 * [backup-simplify]: Simplify 1 into 1
4.180 * [backup-simplify]: Simplify (* 1 1) into 1
4.181 * [backup-simplify]: Simplify (/ 1 1) into 1
4.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.183 * [backup-simplify]: Simplify (+ (* 1/2 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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.186 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.186 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.186 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.187 * [backup-simplify]: Simplify (+ 0 0) into 0
4.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.189 * [taylor]: Taking taylor expansion of 0 in im
4.189 * [backup-simplify]: Simplify 0 into 0
4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.192 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
4.193 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
4.193 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.193 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.193 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.193 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.193 * [taylor]: Taking taylor expansion of (* re re) in im
4.193 * [taylor]: Taking taylor expansion of re in im
4.193 * [backup-simplify]: Simplify re into re
4.193 * [taylor]: Taking taylor expansion of re in im
4.193 * [backup-simplify]: Simplify re into re
4.193 * [taylor]: Taking taylor expansion of (* im im) in im
4.193 * [taylor]: Taking taylor expansion of im in im
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 1 into 1
4.193 * [taylor]: Taking taylor expansion of im in im
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 1 into 1
4.193 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.194 * [backup-simplify]: Simplify (* 0 0) into 0
4.194 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.194 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.194 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.195 * [backup-simplify]: Simplify (+ 0 0) into 0
4.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.195 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.195 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.196 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.196 * [taylor]: Taking taylor expansion of (* re re) in re
4.196 * [taylor]: Taking taylor expansion of re in re
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [taylor]: Taking taylor expansion of re in re
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [taylor]: Taking taylor expansion of (* im im) in re
4.196 * [taylor]: Taking taylor expansion of im in re
4.196 * [backup-simplify]: Simplify im into im
4.196 * [taylor]: Taking taylor expansion of im in re
4.196 * [backup-simplify]: Simplify im into im
4.196 * [backup-simplify]: Simplify (* 0 0) into 0
4.196 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.196 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.197 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.198 * [backup-simplify]: Simplify (+ 0 0) into 0
4.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.198 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.198 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.198 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.198 * [taylor]: Taking taylor expansion of (* re re) in re
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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re
4.198 * [taylor]: Taking taylor expansion of im in re
4.198 * [backup-simplify]: Simplify im into im
4.198 * [taylor]: Taking taylor expansion of im in re
4.198 * [backup-simplify]: Simplify im into im
4.199 * [backup-simplify]: Simplify (* 0 0) into 0
4.199 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.199 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.199 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.200 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.201 * [backup-simplify]: Simplify (+ 0 0) into 0
4.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.201 * [taylor]: Taking taylor expansion of im in im
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify 1 into 1
4.201 * [backup-simplify]: Simplify 0 into 0
4.202 * [taylor]: Taking taylor expansion of 0 in im
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 1 into 1
4.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.204 * [backup-simplify]: Simplify (+ 1 0) into 1
4.204 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.204 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.204 * [taylor]: Taking taylor expansion of 1/2 in im
4.204 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
4.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.208 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.208 * [backup-simplify]: Simplify (+ 0 0) into 0
4.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.208 * [taylor]: Taking taylor expansion of 0 in im
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.210 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
4.210 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.210 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.210 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.210 * [taylor]: Taking taylor expansion of re in im
4.210 * [backup-simplify]: Simplify re into re
4.210 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.210 * [taylor]: Taking taylor expansion of re in im
4.210 * [backup-simplify]: Simplify re into re
4.210 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.210 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.210 * [taylor]: Taking taylor expansion of im in im
4.210 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (/ 1 1) into 1
4.211 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.211 * [taylor]: Taking taylor expansion of im in im
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (/ 1 1) into 1
4.212 * [backup-simplify]: Simplify (* 1 1) into 1
4.212 * [backup-simplify]: Simplify (+ 0 1) into 1
4.213 * [backup-simplify]: Simplify (sqrt 1) into 1
4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.215 * [backup-simplify]: Simplify (+ 0 0) into 0
4.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.216 * [taylor]: Taking taylor expansion of re in re
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 1 into 1
4.216 * [backup-simplify]: Simplify (/ 1 1) into 1
4.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.216 * [taylor]: Taking taylor expansion of re in re
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 1 into 1
4.217 * [backup-simplify]: Simplify (/ 1 1) into 1
4.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.217 * [taylor]: Taking taylor expansion of im in re
4.217 * [backup-simplify]: Simplify im into im
4.217 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.217 * [taylor]: Taking taylor expansion of im in re
4.217 * [backup-simplify]: Simplify im into im
4.217 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.217 * [backup-simplify]: Simplify (* 1 1) into 1
4.218 * [backup-simplify]: Simplify (+ 1 0) into 1
4.218 * [backup-simplify]: Simplify (sqrt 1) into 1
4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.222 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.222 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.222 * [taylor]: Taking taylor expansion of re in re
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.222 * [backup-simplify]: Simplify (/ 1 1) into 1
4.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.222 * [taylor]: Taking taylor expansion of re in re
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.223 * [backup-simplify]: Simplify (/ 1 1) into 1
4.223 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.223 * [taylor]: Taking taylor expansion of im in re
4.223 * [backup-simplify]: Simplify im into im
4.223 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.223 * [taylor]: Taking taylor expansion of im in re
4.223 * [backup-simplify]: Simplify im into im
4.223 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.223 * [backup-simplify]: Simplify (* 1 1) into 1
4.224 * [backup-simplify]: Simplify (+ 1 0) into 1
4.224 * [backup-simplify]: Simplify (sqrt 1) into 1
4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.227 * [backup-simplify]: Simplify (+ 0 0) into 0
4.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.228 * [taylor]: Taking taylor expansion of 1 in im
4.228 * [backup-simplify]: Simplify 1 into 1
4.228 * [taylor]: Taking taylor expansion of 0 in im
4.228 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify 1 into 1
4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.231 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.231 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.232 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.232 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.232 * [taylor]: Taking taylor expansion of 1/2 in im
4.232 * [backup-simplify]: Simplify 1/2 into 1/2
4.232 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.232 * [taylor]: Taking taylor expansion of im in im
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 1 into 1
4.233 * [backup-simplify]: Simplify (* 1 1) into 1
4.233 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.238 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.239 * [backup-simplify]: Simplify (+ 0 0) into 0
4.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.239 * [taylor]: Taking taylor expansion of 0 in im
4.239 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.242 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
4.242 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.242 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.242 * [taylor]: Taking taylor expansion of -1 in im
4.242 * [backup-simplify]: Simplify -1 into -1
4.243 * [taylor]: Taking taylor expansion of re in im
4.243 * [backup-simplify]: Simplify re into re
4.243 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.243 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.243 * [taylor]: Taking taylor expansion of -1 in im
4.243 * [backup-simplify]: Simplify -1 into -1
4.243 * [taylor]: Taking taylor expansion of re in im
4.243 * [backup-simplify]: Simplify re into re
4.243 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.243 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.243 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.243 * [taylor]: Taking taylor expansion of -1 in im
4.243 * [backup-simplify]: Simplify -1 into -1
4.243 * [taylor]: Taking taylor expansion of im in im
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 1 into 1
4.243 * [backup-simplify]: Simplify (/ -1 1) into -1
4.244 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.244 * [taylor]: Taking taylor expansion of -1 in im
4.244 * [backup-simplify]: Simplify -1 into -1
4.244 * [taylor]: Taking taylor expansion of im in im
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [backup-simplify]: Simplify (/ -1 1) into -1
4.244 * [backup-simplify]: Simplify (* -1 -1) into 1
4.245 * [backup-simplify]: Simplify (+ 0 1) into 1
4.245 * [backup-simplify]: Simplify (sqrt 1) into 1
4.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.248 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.248 * [backup-simplify]: Simplify (+ 0 0) into 0
4.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.249 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.249 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.249 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.249 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.249 * [taylor]: Taking taylor expansion of -1 in re
4.249 * [backup-simplify]: Simplify -1 into -1
4.249 * [taylor]: Taking taylor expansion of re in re
4.249 * [backup-simplify]: Simplify 0 into 0
4.249 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (/ -1 1) into -1
4.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.250 * [taylor]: Taking taylor expansion of -1 in re
4.250 * [backup-simplify]: Simplify -1 into -1
4.250 * [taylor]: Taking taylor expansion of re in re
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (/ -1 1) into -1
4.250 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.250 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.250 * [taylor]: Taking taylor expansion of -1 in re
4.250 * [backup-simplify]: Simplify -1 into -1
4.250 * [taylor]: Taking taylor expansion of im in re
4.251 * [backup-simplify]: Simplify im into im
4.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.251 * [taylor]: Taking taylor expansion of -1 in re
4.251 * [backup-simplify]: Simplify -1 into -1
4.251 * [taylor]: Taking taylor expansion of im in re
4.251 * [backup-simplify]: Simplify im into im
4.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.251 * [backup-simplify]: Simplify (* -1 -1) into 1
4.252 * [backup-simplify]: Simplify (+ 1 0) into 1
4.252 * [backup-simplify]: Simplify (sqrt 1) into 1
4.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.254 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.255 * [backup-simplify]: Simplify (+ 0 0) into 0
4.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.255 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.255 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.255 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.256 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.256 * [taylor]: Taking taylor expansion of -1 in re
4.256 * [backup-simplify]: Simplify -1 into -1
4.256 * [taylor]: Taking taylor expansion of re in re
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 1 into 1
4.256 * [backup-simplify]: Simplify (/ -1 1) into -1
4.256 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.256 * [taylor]: Taking taylor expansion of -1 in re
4.256 * [backup-simplify]: Simplify -1 into -1
4.256 * [taylor]: Taking taylor expansion of re in re
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 1 into 1
4.257 * [backup-simplify]: Simplify (/ -1 1) into -1
4.257 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.257 * [taylor]: Taking taylor expansion of -1 in re
4.257 * [backup-simplify]: Simplify -1 into -1
4.257 * [taylor]: Taking taylor expansion of im in re
4.257 * [backup-simplify]: Simplify im into im
4.257 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.257 * [taylor]: Taking taylor expansion of -1 in re
4.257 * [backup-simplify]: Simplify -1 into -1
4.257 * [taylor]: Taking taylor expansion of im in re
4.257 * [backup-simplify]: Simplify im into im
4.257 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.258 * [backup-simplify]: Simplify (* -1 -1) into 1
4.258 * [backup-simplify]: Simplify (+ 1 0) into 1
4.258 * [backup-simplify]: Simplify (sqrt 1) into 1
4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.261 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.261 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.262 * [taylor]: Taking taylor expansion of 1 in im
4.262 * [backup-simplify]: Simplify 1 into 1
4.262 * [taylor]: Taking taylor expansion of 0 in im
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 1 into 1
4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.265 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.266 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.266 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.266 * [taylor]: Taking taylor expansion of 1/2 in im
4.266 * [backup-simplify]: Simplify 1/2 into 1/2
4.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.266 * [taylor]: Taking taylor expansion of im in im
4.266 * [backup-simplify]: Simplify 0 into 0
4.266 * [backup-simplify]: Simplify 1 into 1
4.267 * [backup-simplify]: Simplify (* 1 1) into 1
4.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.272 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.272 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.272 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.273 * [backup-simplify]: Simplify (+ 0 0) into 0
4.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.273 * [taylor]: Taking taylor expansion of 0 in im
4.273 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1)
4.276 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
4.276 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.276 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.276 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.276 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.276 * [taylor]: Taking taylor expansion of (* re re) in im
4.276 * [taylor]: Taking taylor expansion of re in im
4.276 * [backup-simplify]: Simplify re into re
4.276 * [taylor]: Taking taylor expansion of re in im
4.276 * [backup-simplify]: Simplify re into re
4.276 * [taylor]: Taking taylor expansion of (* im im) in im
4.276 * [taylor]: Taking taylor expansion of im in im
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify 1 into 1
4.276 * [taylor]: Taking taylor expansion of im in im
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify 1 into 1
4.276 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.277 * [backup-simplify]: Simplify (* 0 0) into 0
4.277 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.277 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.277 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.278 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.278 * [backup-simplify]: Simplify (+ 0 0) into 0
4.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.278 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.278 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.278 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.278 * [taylor]: Taking taylor expansion of (* re re) in re
4.279 * [taylor]: Taking taylor expansion of re in re
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify 1 into 1
4.279 * [taylor]: Taking taylor expansion of re in re
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify 1 into 1
4.279 * [taylor]: Taking taylor expansion of (* im im) in re
4.279 * [taylor]: Taking taylor expansion of im in re
4.279 * [backup-simplify]: Simplify im into im
4.279 * [taylor]: Taking taylor expansion of im in re
4.279 * [backup-simplify]: Simplify im into im
4.279 * [backup-simplify]: Simplify (* 0 0) into 0
4.279 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.279 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.280 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.281 * [backup-simplify]: Simplify (+ 0 0) into 0
4.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.281 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.281 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.281 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.281 * [taylor]: Taking taylor expansion of (* re re) in re
4.281 * [taylor]: Taking taylor expansion of re in re
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.281 * [taylor]: Taking taylor expansion of re in re
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.281 * [taylor]: Taking taylor expansion of (* im im) in re
4.281 * [taylor]: Taking taylor expansion of im in re
4.281 * [backup-simplify]: Simplify im into im
4.281 * [taylor]: Taking taylor expansion of im in re
4.281 * [backup-simplify]: Simplify im into im
4.282 * [backup-simplify]: Simplify (* 0 0) into 0
4.282 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.282 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.282 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.283 * [backup-simplify]: Simplify (+ 0 0) into 0
4.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.283 * [taylor]: Taking taylor expansion of im in im
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 1 into 1
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [taylor]: Taking taylor expansion of 0 in im
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 1 into 1
4.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.285 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.285 * [backup-simplify]: Simplify (+ 1 0) into 1
4.286 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.286 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.286 * [taylor]: Taking taylor expansion of 1/2 in im
4.286 * [backup-simplify]: Simplify 1/2 into 1/2
4.286 * [taylor]: Taking taylor expansion of im in im
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.289 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.290 * [backup-simplify]: Simplify (+ 0 0) into 0
4.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.290 * [taylor]: Taking taylor expansion of 0 in im
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.291 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
4.291 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.291 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.291 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.291 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.291 * [taylor]: Taking taylor expansion of re in im
4.291 * [backup-simplify]: Simplify re into re
4.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.292 * [taylor]: Taking taylor expansion of re in im
4.292 * [backup-simplify]: Simplify re into re
4.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.292 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.292 * [taylor]: Taking taylor expansion of im in im
4.292 * [backup-simplify]: Simplify 0 into 0
4.292 * [backup-simplify]: Simplify 1 into 1
4.292 * [backup-simplify]: Simplify (/ 1 1) into 1
4.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.292 * [taylor]: Taking taylor expansion of im in im
4.292 * [backup-simplify]: Simplify 0 into 0
4.292 * [backup-simplify]: Simplify 1 into 1
4.293 * [backup-simplify]: Simplify (/ 1 1) into 1
4.293 * [backup-simplify]: Simplify (* 1 1) into 1
4.293 * [backup-simplify]: Simplify (+ 0 1) into 1
4.294 * [backup-simplify]: Simplify (sqrt 1) into 1
4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.297 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.297 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.297 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.297 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.298 * [taylor]: Taking taylor expansion of re in re
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify 1 into 1
4.298 * [backup-simplify]: Simplify (/ 1 1) into 1
4.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.298 * [taylor]: Taking taylor expansion of re in re
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify 1 into 1
4.298 * [backup-simplify]: Simplify (/ 1 1) into 1
4.298 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.298 * [taylor]: Taking taylor expansion of im in re
4.299 * [backup-simplify]: Simplify im into im
4.299 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.299 * [taylor]: Taking taylor expansion of im in re
4.299 * [backup-simplify]: Simplify im into im
4.299 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.299 * [backup-simplify]: Simplify (* 1 1) into 1
4.299 * [backup-simplify]: Simplify (+ 1 0) into 1
4.300 * [backup-simplify]: Simplify (sqrt 1) into 1
4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.302 * [backup-simplify]: Simplify (+ 0 0) into 0
4.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.303 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.303 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.303 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.303 * [taylor]: Taking taylor expansion of re in re
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify 1 into 1
4.304 * [backup-simplify]: Simplify (/ 1 1) into 1
4.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.304 * [taylor]: Taking taylor expansion of re in re
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify 1 into 1
4.304 * [backup-simplify]: Simplify (/ 1 1) into 1
4.304 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.304 * [taylor]: Taking taylor expansion of im in re
4.304 * [backup-simplify]: Simplify im into im
4.304 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.304 * [taylor]: Taking taylor expansion of im in re
4.304 * [backup-simplify]: Simplify im into im
4.304 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.305 * [backup-simplify]: Simplify (* 1 1) into 1
4.305 * [backup-simplify]: Simplify (+ 1 0) into 1
4.306 * [backup-simplify]: Simplify (sqrt 1) into 1
4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.308 * [backup-simplify]: Simplify (+ 0 0) into 0
4.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.309 * [taylor]: Taking taylor expansion of 1 in im
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [taylor]: Taking taylor expansion of 0 in im
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify 1 into 1
4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.312 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.313 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.313 * [taylor]: Taking taylor expansion of 1/2 in im
4.313 * [backup-simplify]: Simplify 1/2 into 1/2
4.313 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.313 * [taylor]: Taking taylor expansion of im in im
4.313 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify 1 into 1
4.314 * [backup-simplify]: Simplify (* 1 1) into 1
4.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.324 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.325 * [backup-simplify]: Simplify (+ 0 0) into 0
4.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.325 * [taylor]: Taking taylor expansion of 0 in im
4.325 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.328 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
4.328 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.328 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.328 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.328 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.328 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.328 * [taylor]: Taking taylor expansion of -1 in im
4.328 * [backup-simplify]: Simplify -1 into -1
4.328 * [taylor]: Taking taylor expansion of re in im
4.328 * [backup-simplify]: Simplify re into re
4.328 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.328 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.328 * [taylor]: Taking taylor expansion of -1 in im
4.328 * [backup-simplify]: Simplify -1 into -1
4.328 * [taylor]: Taking taylor expansion of re in im
4.328 * [backup-simplify]: Simplify re into re
4.328 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.328 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.328 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.328 * [taylor]: Taking taylor expansion of -1 in im
4.328 * [backup-simplify]: Simplify -1 into -1
4.328 * [taylor]: Taking taylor expansion of im in im
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [backup-simplify]: Simplify (/ -1 1) into -1
4.329 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.329 * [taylor]: Taking taylor expansion of -1 in im
4.329 * [backup-simplify]: Simplify -1 into -1
4.329 * [taylor]: Taking taylor expansion of im in im
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.330 * [backup-simplify]: Simplify (/ -1 1) into -1
4.330 * [backup-simplify]: Simplify (* -1 -1) into 1
4.330 * [backup-simplify]: Simplify (+ 0 1) into 1
4.331 * [backup-simplify]: Simplify (sqrt 1) into 1
4.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.333 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.334 * [backup-simplify]: Simplify (+ 0 0) into 0
4.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.334 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.334 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.335 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.335 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.335 * [taylor]: Taking taylor expansion of -1 in re
4.335 * [backup-simplify]: Simplify -1 into -1
4.335 * [taylor]: Taking taylor expansion of re in re
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (/ -1 1) into -1
4.335 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.335 * [taylor]: Taking taylor expansion of -1 in re
4.335 * [backup-simplify]: Simplify -1 into -1
4.335 * [taylor]: Taking taylor expansion of re in re
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.336 * [backup-simplify]: Simplify (/ -1 1) into -1
4.336 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.336 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.336 * [taylor]: Taking taylor expansion of -1 in re
4.336 * [backup-simplify]: Simplify -1 into -1
4.336 * [taylor]: Taking taylor expansion of im in re
4.336 * [backup-simplify]: Simplify im into im
4.336 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.336 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.336 * [taylor]: Taking taylor expansion of -1 in re
4.336 * [backup-simplify]: Simplify -1 into -1
4.336 * [taylor]: Taking taylor expansion of im in re
4.336 * [backup-simplify]: Simplify im into im
4.336 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.337 * [backup-simplify]: Simplify (* -1 -1) into 1
4.337 * [backup-simplify]: Simplify (+ 1 0) into 1
4.337 * [backup-simplify]: Simplify (sqrt 1) into 1
4.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.340 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.340 * [backup-simplify]: Simplify (+ 0 0) into 0
4.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.341 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.341 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.341 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.341 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.341 * [taylor]: Taking taylor expansion of -1 in re
4.341 * [backup-simplify]: Simplify -1 into -1
4.341 * [taylor]: Taking taylor expansion of re in re
4.341 * [backup-simplify]: Simplify 0 into 0
4.341 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (/ -1 1) into -1
4.342 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.342 * [taylor]: Taking taylor expansion of -1 in re
4.342 * [backup-simplify]: Simplify -1 into -1
4.342 * [taylor]: Taking taylor expansion of re in re
4.342 * [backup-simplify]: Simplify 0 into 0
4.342 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (/ -1 1) into -1
4.342 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.342 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.342 * [taylor]: Taking taylor expansion of -1 in re
4.342 * [backup-simplify]: Simplify -1 into -1
4.342 * [taylor]: Taking taylor expansion of im in re
4.342 * [backup-simplify]: Simplify im into im
4.342 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.342 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.343 * [taylor]: Taking taylor expansion of -1 in re
4.343 * [backup-simplify]: Simplify -1 into -1
4.343 * [taylor]: Taking taylor expansion of im in re
4.343 * [backup-simplify]: Simplify im into im
4.343 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.343 * [backup-simplify]: Simplify (* -1 -1) into 1
4.343 * [backup-simplify]: Simplify (+ 1 0) into 1
4.344 * [backup-simplify]: Simplify (sqrt 1) into 1
4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.346 * [backup-simplify]: Simplify (+ 0 0) into 0
4.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.347 * [taylor]: Taking taylor expansion of 1 in im
4.347 * [backup-simplify]: Simplify 1 into 1
4.347 * [taylor]: Taking taylor expansion of 0 in im
4.347 * [backup-simplify]: Simplify 0 into 0
4.347 * [backup-simplify]: Simplify 1 into 1
4.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.350 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.351 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.352 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.352 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.352 * [taylor]: Taking taylor expansion of 1/2 in im
4.352 * [backup-simplify]: Simplify 1/2 into 1/2
4.352 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.352 * [taylor]: Taking taylor expansion of im in im
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify 1 into 1
4.352 * [backup-simplify]: Simplify (* 1 1) into 1
4.353 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.358 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.358 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.358 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.359 * [backup-simplify]: Simplify (+ 0 0) into 0
4.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.359 * [taylor]: Taking taylor expansion of 0 in im
4.359 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1)
4.362 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
4.362 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.362 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.362 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.362 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.362 * [taylor]: Taking taylor expansion of (* re re) in im
4.362 * [taylor]: Taking taylor expansion of re in im
4.362 * [backup-simplify]: Simplify re into re
4.362 * [taylor]: Taking taylor expansion of re in im
4.362 * [backup-simplify]: Simplify re into re
4.362 * [taylor]: Taking taylor expansion of (* im im) in im
4.362 * [taylor]: Taking taylor expansion of im in im
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify 1 into 1
4.362 * [taylor]: Taking taylor expansion of im in im
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify 1 into 1
4.362 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.363 * [backup-simplify]: Simplify (* 0 0) into 0
4.363 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.363 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.363 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.364 * [backup-simplify]: Simplify (+ 0 0) into 0
4.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.364 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.364 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.364 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.364 * [taylor]: Taking taylor expansion of (* re re) in re
4.364 * [taylor]: Taking taylor expansion of re in re
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify 1 into 1
4.365 * [taylor]: Taking taylor expansion of re in re
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify 1 into 1
4.365 * [taylor]: Taking taylor expansion of (* im im) in re
4.365 * [taylor]: Taking taylor expansion of im in re
4.365 * [backup-simplify]: Simplify im into im
4.365 * [taylor]: Taking taylor expansion of im in re
4.365 * [backup-simplify]: Simplify im into im
4.365 * [backup-simplify]: Simplify (* 0 0) into 0
4.365 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.365 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.365 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.367 * [backup-simplify]: Simplify (+ 0 0) into 0
4.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.367 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.367 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.367 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.367 * [taylor]: Taking taylor expansion of (* re re) in re
4.367 * [taylor]: Taking taylor expansion of re in re
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [taylor]: Taking taylor expansion of re in re
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [taylor]: Taking taylor expansion of (* im im) in re
4.367 * [taylor]: Taking taylor expansion of im in re
4.367 * [backup-simplify]: Simplify im into im
4.367 * [taylor]: Taking taylor expansion of im in re
4.367 * [backup-simplify]: Simplify im into im
4.368 * [backup-simplify]: Simplify (* 0 0) into 0
4.368 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.368 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.368 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.369 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.369 * [backup-simplify]: Simplify (+ 0 0) into 0
4.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.369 * [taylor]: Taking taylor expansion of im in im
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [taylor]: Taking taylor expansion of 0 in im
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.371 * [backup-simplify]: Simplify (+ 1 0) into 1
4.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.372 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.372 * [taylor]: Taking taylor expansion of 1/2 in im
4.372 * [backup-simplify]: Simplify 1/2 into 1/2
4.372 * [taylor]: Taking taylor expansion of im in im
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.376 * [backup-simplify]: Simplify (+ 0 0) into 0
4.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.376 * [taylor]: Taking taylor expansion of 0 in im
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.377 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
4.377 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.377 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.377 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.377 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.377 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.377 * [taylor]: Taking taylor expansion of re in im
4.377 * [backup-simplify]: Simplify re into re
4.378 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.378 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.378 * [taylor]: Taking taylor expansion of re in im
4.378 * [backup-simplify]: Simplify re into re
4.378 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.378 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.378 * [taylor]: Taking taylor expansion of im in im
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (/ 1 1) into 1
4.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.378 * [taylor]: Taking taylor expansion of im in im
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.379 * [backup-simplify]: Simplify (/ 1 1) into 1
4.379 * [backup-simplify]: Simplify (* 1 1) into 1
4.380 * [backup-simplify]: Simplify (+ 0 1) into 1
4.380 * [backup-simplify]: Simplify (sqrt 1) into 1
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.382 * [backup-simplify]: Simplify (+ 0 0) into 0
4.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.383 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.383 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.383 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.383 * [taylor]: Taking taylor expansion of re in re
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (/ 1 1) into 1
4.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.384 * [taylor]: Taking taylor expansion of re in re
4.384 * [backup-simplify]: Simplify 0 into 0
4.384 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (/ 1 1) into 1
4.384 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.384 * [taylor]: Taking taylor expansion of im in re
4.384 * [backup-simplify]: Simplify im into im
4.384 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.385 * [taylor]: Taking taylor expansion of im in re
4.385 * [backup-simplify]: Simplify im into im
4.385 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.385 * [backup-simplify]: Simplify (* 1 1) into 1
4.385 * [backup-simplify]: Simplify (+ 1 0) into 1
4.386 * [backup-simplify]: Simplify (sqrt 1) into 1
4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.389 * [backup-simplify]: Simplify (+ 0 0) into 0
4.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.389 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.390 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.390 * [taylor]: Taking taylor expansion of re in re
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.390 * [backup-simplify]: Simplify (/ 1 1) into 1
4.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.390 * [taylor]: Taking taylor expansion of re in re
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.390 * [backup-simplify]: Simplify (/ 1 1) into 1
4.391 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.391 * [taylor]: Taking taylor expansion of im in re
4.391 * [backup-simplify]: Simplify im into im
4.391 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.391 * [taylor]: Taking taylor expansion of im in re
4.391 * [backup-simplify]: Simplify im into im
4.391 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.391 * [backup-simplify]: Simplify (* 1 1) into 1
4.392 * [backup-simplify]: Simplify (+ 1 0) into 1
4.392 * [backup-simplify]: Simplify (sqrt 1) into 1
4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.394 * [backup-simplify]: Simplify (+ 0 0) into 0
4.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.395 * [taylor]: Taking taylor expansion of 1 in im
4.395 * [backup-simplify]: Simplify 1 into 1
4.395 * [taylor]: Taking taylor expansion of 0 in im
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 1 into 1
4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.398 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.399 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.399 * [taylor]: Taking taylor expansion of 1/2 in im
4.399 * [backup-simplify]: Simplify 1/2 into 1/2
4.400 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.400 * [taylor]: Taking taylor expansion of im in im
4.400 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify 1 into 1
4.400 * [backup-simplify]: Simplify (* 1 1) into 1
4.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.405 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.406 * [backup-simplify]: Simplify (+ 0 0) into 0
4.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.406 * [taylor]: Taking taylor expansion of 0 in im
4.406 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 0 into 0
4.409 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.409 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
4.409 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.409 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.409 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.409 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.409 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.409 * [taylor]: Taking taylor expansion of -1 in im
4.409 * [backup-simplify]: Simplify -1 into -1
4.409 * [taylor]: Taking taylor expansion of re in im
4.409 * [backup-simplify]: Simplify re into re
4.409 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.409 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.409 * [taylor]: Taking taylor expansion of -1 in im
4.409 * [backup-simplify]: Simplify -1 into -1
4.409 * [taylor]: Taking taylor expansion of re in im
4.409 * [backup-simplify]: Simplify re into re
4.409 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.409 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.409 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.409 * [taylor]: Taking taylor expansion of -1 in im
4.409 * [backup-simplify]: Simplify -1 into -1
4.409 * [taylor]: Taking taylor expansion of im in im
4.409 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify 1 into 1
4.410 * [backup-simplify]: Simplify (/ -1 1) into -1
4.410 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.410 * [taylor]: Taking taylor expansion of -1 in im
4.410 * [backup-simplify]: Simplify -1 into -1
4.410 * [taylor]: Taking taylor expansion of im in im
4.410 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify 1 into 1
4.411 * [backup-simplify]: Simplify (/ -1 1) into -1
4.411 * [backup-simplify]: Simplify (* -1 -1) into 1
4.411 * [backup-simplify]: Simplify (+ 0 1) into 1
4.412 * [backup-simplify]: Simplify (sqrt 1) into 1
4.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.414 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.414 * [backup-simplify]: Simplify (+ 0 0) into 0
4.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.415 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.415 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.415 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.415 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.415 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.415 * [taylor]: Taking taylor expansion of -1 in re
4.415 * [backup-simplify]: Simplify -1 into -1
4.415 * [taylor]: Taking taylor expansion of re in re
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify (/ -1 1) into -1
4.416 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.416 * [taylor]: Taking taylor expansion of -1 in re
4.416 * [backup-simplify]: Simplify -1 into -1
4.416 * [taylor]: Taking taylor expansion of re in re
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.417 * [backup-simplify]: Simplify (/ -1 1) into -1
4.417 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.417 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.417 * [taylor]: Taking taylor expansion of -1 in re
4.417 * [backup-simplify]: Simplify -1 into -1
4.417 * [taylor]: Taking taylor expansion of im in re
4.417 * [backup-simplify]: Simplify im into im
4.417 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.417 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.417 * [taylor]: Taking taylor expansion of -1 in re
4.417 * [backup-simplify]: Simplify -1 into -1
4.417 * [taylor]: Taking taylor expansion of im in re
4.417 * [backup-simplify]: Simplify im into im
4.417 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.417 * [backup-simplify]: Simplify (* -1 -1) into 1
4.418 * [backup-simplify]: Simplify (+ 1 0) into 1
4.418 * [backup-simplify]: Simplify (sqrt 1) into 1
4.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.420 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.421 * [backup-simplify]: Simplify (+ 0 0) into 0
4.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.421 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.422 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.422 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.422 * [taylor]: Taking taylor expansion of -1 in re
4.422 * [backup-simplify]: Simplify -1 into -1
4.422 * [taylor]: Taking taylor expansion of re in re
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify 1 into 1
4.422 * [backup-simplify]: Simplify (/ -1 1) into -1
4.422 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.422 * [taylor]: Taking taylor expansion of -1 in re
4.422 * [backup-simplify]: Simplify -1 into -1
4.422 * [taylor]: Taking taylor expansion of re in re
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify 1 into 1
4.423 * [backup-simplify]: Simplify (/ -1 1) into -1
4.423 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.423 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.423 * [taylor]: Taking taylor expansion of -1 in re
4.423 * [backup-simplify]: Simplify -1 into -1
4.423 * [taylor]: Taking taylor expansion of im in re
4.423 * [backup-simplify]: Simplify im into im
4.423 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.423 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.423 * [taylor]: Taking taylor expansion of -1 in re
4.423 * [backup-simplify]: Simplify -1 into -1
4.423 * [taylor]: Taking taylor expansion of im in re
4.423 * [backup-simplify]: Simplify im into im
4.423 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.424 * [backup-simplify]: Simplify (* -1 -1) into 1
4.424 * [backup-simplify]: Simplify (+ 1 0) into 1
4.424 * [backup-simplify]: Simplify (sqrt 1) into 1
4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.427 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.427 * [backup-simplify]: Simplify (+ 0 0) into 0
4.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.428 * [taylor]: Taking taylor expansion of 1 in im
4.428 * [backup-simplify]: Simplify 1 into 1
4.428 * [taylor]: Taking taylor expansion of 0 in im
4.428 * [backup-simplify]: Simplify 0 into 0
4.428 * [backup-simplify]: Simplify 1 into 1
4.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.431 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.433 * [taylor]: Taking taylor expansion of 1/2 in im
4.433 * [backup-simplify]: Simplify 1/2 into 1/2
4.433 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.433 * [taylor]: Taking taylor expansion of im in im
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 1 into 1
4.433 * [backup-simplify]: Simplify (* 1 1) into 1
4.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.439 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.439 * [backup-simplify]: Simplify (+ 0 0) into 0
4.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.440 * [taylor]: Taking taylor expansion of 0 in im
4.440 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.442 * [backup-simplify]: Simplify 0 into 0
4.442 * [backup-simplify]: Simplify 0 into 0
4.442 * [backup-simplify]: Simplify 0 into 0
4.442 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.442 * * * [progress]: simplifying candidates
4.445 * [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 (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))
  (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
4.447 * * [simplify]: iteration 0: 108 enodes
4.477 * * [simplify]: iteration 1: 223 enodes
4.548 * * [simplify]: iteration 2: 512 enodes
4.794 * * [simplify]: iteration 3: 1378 enodes
5.685 * * [simplify]: iteration complete: 5003 enodes
5.685 * * [simplify]: Extracting #0: cost 41 inf + 0
5.687 * * [simplify]: Extracting #1: cost 489 inf + 46
5.691 * * [simplify]: Extracting #2: cost 1324 inf + 4488
5.703 * * [simplify]: Extracting #3: cost 1403 inf + 45225
5.758 * * [simplify]: Extracting #4: cost 632 inf + 240695
5.851 * * [simplify]: Extracting #5: cost 77 inf + 397214
5.960 * * [simplify]: Extracting #6: cost 0 inf + 420481
6.101 * [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) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (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 (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))
  (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)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
6.107 * * * [progress]: adding candidates to table
6.576 * * [progress]: iteration 3 / 4
6.576 * * * [progress]: picking best candidate
6.649 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (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))) 2.0))))>
6.649 * * * [progress]: localizing error
6.701 * * * [progress]: generating rewritten candidates
6.701 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1)
6.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1)
6.735 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1)
6.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1)
6.759 * * * [progress]: generating series expansions
6.759 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1)
6.760 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
6.760 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.760 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.760 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.760 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.760 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.760 * [taylor]: Taking taylor expansion of (* re re) in im
6.760 * [taylor]: Taking taylor expansion of re in im
6.760 * [backup-simplify]: Simplify re into re
6.760 * [taylor]: Taking taylor expansion of re in im
6.760 * [backup-simplify]: Simplify re into re
6.760 * [taylor]: Taking taylor expansion of (* im im) in im
6.760 * [taylor]: Taking taylor expansion of im in im
6.760 * [backup-simplify]: Simplify 0 into 0
6.760 * [backup-simplify]: Simplify 1 into 1
6.760 * [taylor]: Taking taylor expansion of im in im
6.760 * [backup-simplify]: Simplify 0 into 0
6.760 * [backup-simplify]: Simplify 1 into 1
6.760 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.761 * [backup-simplify]: Simplify (* 0 0) into 0
6.761 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.761 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.761 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.761 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.762 * [backup-simplify]: Simplify (+ 0 0) into 0
6.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.762 * [taylor]: Taking taylor expansion of re in im
6.762 * [backup-simplify]: Simplify re into re
6.762 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.762 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.762 * [taylor]: Taking taylor expansion of (* re re) in re
6.762 * [taylor]: Taking taylor expansion of re in re
6.762 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify 1 into 1
6.762 * [taylor]: Taking taylor expansion of re in re
6.762 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify 1 into 1
6.762 * [taylor]: Taking taylor expansion of (* im im) in re
6.762 * [taylor]: Taking taylor expansion of im in re
6.762 * [backup-simplify]: Simplify im into im
6.762 * [taylor]: Taking taylor expansion of im in re
6.762 * [backup-simplify]: Simplify im into im
6.762 * [backup-simplify]: Simplify (* 0 0) into 0
6.762 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.762 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.762 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.763 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.763 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.763 * [backup-simplify]: Simplify (+ 0 0) into 0
6.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.763 * [taylor]: Taking taylor expansion of re in re
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.763 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.763 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.763 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.764 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.764 * [taylor]: Taking taylor expansion of (* re re) in re
6.764 * [taylor]: Taking taylor expansion of re in re
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 1 into 1
6.764 * [taylor]: Taking taylor expansion of re in re
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify 1 into 1
6.764 * [taylor]: Taking taylor expansion of (* im im) in re
6.764 * [taylor]: Taking taylor expansion of im in re
6.764 * [backup-simplify]: Simplify im into im
6.764 * [taylor]: Taking taylor expansion of im in re
6.764 * [backup-simplify]: Simplify im into im
6.764 * [backup-simplify]: Simplify (* 0 0) into 0
6.764 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.764 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.764 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.765 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.765 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.765 * [backup-simplify]: Simplify (+ 0 0) into 0
6.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.765 * [taylor]: Taking taylor expansion of re in re
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.765 * [backup-simplify]: Simplify (- 0) into 0
6.765 * [backup-simplify]: Simplify (+ im 0) into im
6.765 * [taylor]: Taking taylor expansion of im in im
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify 1 into 1
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify (- 1) into -1
6.766 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.766 * [taylor]: Taking taylor expansion of -1 in im
6.766 * [backup-simplify]: Simplify -1 into -1
6.766 * [backup-simplify]: Simplify -1 into -1
6.766 * [backup-simplify]: Simplify 1 into 1
6.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.767 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.767 * [backup-simplify]: Simplify (+ 1 0) into 1
6.768 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.768 * [backup-simplify]: Simplify (- 0) into 0
6.768 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.768 * [taylor]: Taking taylor expansion of 1/2 in im
6.768 * [backup-simplify]: Simplify 1/2 into 1/2
6.768 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.768 * [taylor]: Taking taylor expansion of im in im
6.768 * [backup-simplify]: Simplify 0 into 0
6.768 * [backup-simplify]: Simplify 1 into 1
6.769 * [backup-simplify]: Simplify (/ 1 1) into 1
6.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.771 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.771 * [backup-simplify]: Simplify (+ 0 0) into 0
6.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.771 * [backup-simplify]: Simplify (- 0) into 0
6.772 * [backup-simplify]: Simplify (+ 0 0) into 0
6.772 * [taylor]: Taking taylor expansion of 0 in im
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.773 * [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))
6.773 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.773 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.773 * [taylor]: Taking taylor expansion of re in im
6.773 * [backup-simplify]: Simplify re into re
6.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.774 * [taylor]: Taking taylor expansion of re in im
6.774 * [backup-simplify]: Simplify re into re
6.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.774 * [taylor]: Taking taylor expansion of im in im
6.774 * [backup-simplify]: Simplify 0 into 0
6.774 * [backup-simplify]: Simplify 1 into 1
6.774 * [backup-simplify]: Simplify (/ 1 1) into 1
6.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.774 * [taylor]: Taking taylor expansion of im in im
6.774 * [backup-simplify]: Simplify 0 into 0
6.774 * [backup-simplify]: Simplify 1 into 1
6.774 * [backup-simplify]: Simplify (/ 1 1) into 1
6.775 * [backup-simplify]: Simplify (* 1 1) into 1
6.775 * [backup-simplify]: Simplify (+ 0 1) into 1
6.775 * [backup-simplify]: Simplify (sqrt 1) into 1
6.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.777 * [backup-simplify]: Simplify (+ 0 0) into 0
6.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.777 * [taylor]: Taking taylor expansion of re in im
6.777 * [backup-simplify]: Simplify re into re
6.777 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.777 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.778 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.778 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.778 * [taylor]: Taking taylor expansion of re in re
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 1 into 1
6.778 * [backup-simplify]: Simplify (/ 1 1) into 1
6.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.778 * [taylor]: Taking taylor expansion of re in re
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 1 into 1
6.778 * [backup-simplify]: Simplify (/ 1 1) into 1
6.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.778 * [taylor]: Taking taylor expansion of im in re
6.778 * [backup-simplify]: Simplify im into im
6.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.778 * [taylor]: Taking taylor expansion of im in re
6.778 * [backup-simplify]: Simplify im into im
6.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.779 * [backup-simplify]: Simplify (* 1 1) into 1
6.779 * [backup-simplify]: Simplify (+ 1 0) into 1
6.779 * [backup-simplify]: Simplify (sqrt 1) into 1
6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.781 * [backup-simplify]: Simplify (+ 0 0) into 0
6.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.781 * [taylor]: Taking taylor expansion of re in re
6.781 * [backup-simplify]: Simplify 0 into 0
6.781 * [backup-simplify]: Simplify 1 into 1
6.781 * [backup-simplify]: Simplify (/ 1 1) into 1
6.781 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.781 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.782 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.782 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.782 * [taylor]: Taking taylor expansion of re in re
6.782 * [backup-simplify]: Simplify 0 into 0
6.782 * [backup-simplify]: Simplify 1 into 1
6.782 * [backup-simplify]: Simplify (/ 1 1) into 1
6.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.782 * [taylor]: Taking taylor expansion of re in re
6.782 * [backup-simplify]: Simplify 0 into 0
6.782 * [backup-simplify]: Simplify 1 into 1
6.782 * [backup-simplify]: Simplify (/ 1 1) into 1
6.782 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.782 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.782 * [taylor]: Taking taylor expansion of im in re
6.782 * [backup-simplify]: Simplify im into im
6.782 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.782 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.782 * [taylor]: Taking taylor expansion of im in re
6.782 * [backup-simplify]: Simplify im into im
6.782 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.783 * [backup-simplify]: Simplify (* 1 1) into 1
6.783 * [backup-simplify]: Simplify (+ 1 0) into 1
6.783 * [backup-simplify]: Simplify (sqrt 1) into 1
6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.786 * [taylor]: Taking taylor expansion of re in re
6.786 * [backup-simplify]: Simplify 0 into 0
6.786 * [backup-simplify]: Simplify 1 into 1
6.786 * [backup-simplify]: Simplify (/ 1 1) into 1
6.787 * [backup-simplify]: Simplify (- 1) into -1
6.787 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.787 * [taylor]: Taking taylor expansion of 0 in im
6.787 * [backup-simplify]: Simplify 0 into 0
6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.788 * [backup-simplify]: Simplify (- 0) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [taylor]: Taking taylor expansion of 0 in im
6.789 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.792 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.792 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.795 * [backup-simplify]: Simplify (- 0) into 0
6.795 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.795 * [taylor]: Taking taylor expansion of 1/2 in im
6.795 * [backup-simplify]: Simplify 1/2 into 1/2
6.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.795 * [taylor]: Taking taylor expansion of im in im
6.795 * [backup-simplify]: Simplify 0 into 0
6.795 * [backup-simplify]: Simplify 1 into 1
6.795 * [backup-simplify]: Simplify (* 1 1) into 1
6.796 * [backup-simplify]: Simplify (/ 1 1) into 1
6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.798 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.801 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.801 * [backup-simplify]: Simplify (+ 0 0) into 0
6.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.803 * [backup-simplify]: Simplify (- 0) into 0
6.804 * [backup-simplify]: Simplify (+ 0 0) into 0
6.804 * [taylor]: Taking taylor expansion of 0 in im
6.804 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.807 * [backup-simplify]: Simplify 0 into 0
6.807 * [backup-simplify]: Simplify 0 into 0
6.807 * [backup-simplify]: Simplify 0 into 0
6.808 * [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))
6.808 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.808 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.808 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.808 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.808 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.808 * [taylor]: Taking taylor expansion of -1 in im
6.808 * [backup-simplify]: Simplify -1 into -1
6.808 * [taylor]: Taking taylor expansion of re in im
6.808 * [backup-simplify]: Simplify re into re
6.808 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.808 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.808 * [taylor]: Taking taylor expansion of -1 in im
6.808 * [backup-simplify]: Simplify -1 into -1
6.808 * [taylor]: Taking taylor expansion of re in im
6.808 * [backup-simplify]: Simplify re into re
6.808 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.808 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.808 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.808 * [taylor]: Taking taylor expansion of -1 in im
6.808 * [backup-simplify]: Simplify -1 into -1
6.808 * [taylor]: Taking taylor expansion of im in im
6.808 * [backup-simplify]: Simplify 0 into 0
6.808 * [backup-simplify]: Simplify 1 into 1
6.809 * [backup-simplify]: Simplify (/ -1 1) into -1
6.809 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.809 * [taylor]: Taking taylor expansion of -1 in im
6.809 * [backup-simplify]: Simplify -1 into -1
6.809 * [taylor]: Taking taylor expansion of im in im
6.809 * [backup-simplify]: Simplify 0 into 0
6.809 * [backup-simplify]: Simplify 1 into 1
6.809 * [backup-simplify]: Simplify (/ -1 1) into -1
6.810 * [backup-simplify]: Simplify (* -1 -1) into 1
6.810 * [backup-simplify]: Simplify (+ 0 1) into 1
6.811 * [backup-simplify]: Simplify (sqrt 1) into 1
6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.813 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.813 * [backup-simplify]: Simplify (+ 0 0) into 0
6.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.814 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.814 * [taylor]: Taking taylor expansion of re in im
6.814 * [backup-simplify]: Simplify re into re
6.814 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.814 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.814 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.814 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.814 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.814 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.814 * [taylor]: Taking taylor expansion of -1 in re
6.814 * [backup-simplify]: Simplify -1 into -1
6.814 * [taylor]: Taking taylor expansion of re in re
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [backup-simplify]: Simplify 1 into 1
6.815 * [backup-simplify]: Simplify (/ -1 1) into -1
6.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.815 * [taylor]: Taking taylor expansion of -1 in re
6.815 * [backup-simplify]: Simplify -1 into -1
6.815 * [taylor]: Taking taylor expansion of re in re
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 1 into 1
6.815 * [backup-simplify]: Simplify (/ -1 1) into -1
6.815 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.816 * [taylor]: Taking taylor expansion of -1 in re
6.816 * [backup-simplify]: Simplify -1 into -1
6.816 * [taylor]: Taking taylor expansion of im in re
6.816 * [backup-simplify]: Simplify im into im
6.816 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.816 * [taylor]: Taking taylor expansion of -1 in re
6.816 * [backup-simplify]: Simplify -1 into -1
6.816 * [taylor]: Taking taylor expansion of im in re
6.816 * [backup-simplify]: Simplify im into im
6.816 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.816 * [backup-simplify]: Simplify (* -1 -1) into 1
6.817 * [backup-simplify]: Simplify (+ 1 0) into 1
6.817 * [backup-simplify]: Simplify (sqrt 1) into 1
6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.819 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.820 * [backup-simplify]: Simplify (+ 0 0) into 0
6.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.820 * [taylor]: Taking taylor expansion of re in re
6.820 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify 1 into 1
6.821 * [backup-simplify]: Simplify (/ 1 1) into 1
6.821 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.821 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.821 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.821 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.821 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.821 * [taylor]: Taking taylor expansion of -1 in re
6.821 * [backup-simplify]: Simplify -1 into -1
6.821 * [taylor]: Taking taylor expansion of re in re
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 1 into 1
6.821 * [backup-simplify]: Simplify (/ -1 1) into -1
6.822 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.822 * [taylor]: Taking taylor expansion of -1 in re
6.822 * [backup-simplify]: Simplify -1 into -1
6.822 * [taylor]: Taking taylor expansion of re in re
6.822 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify 1 into 1
6.822 * [backup-simplify]: Simplify (/ -1 1) into -1
6.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.822 * [taylor]: Taking taylor expansion of -1 in re
6.822 * [backup-simplify]: Simplify -1 into -1
6.822 * [taylor]: Taking taylor expansion of im in re
6.822 * [backup-simplify]: Simplify im into im
6.822 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.822 * [taylor]: Taking taylor expansion of -1 in re
6.822 * [backup-simplify]: Simplify -1 into -1
6.822 * [taylor]: Taking taylor expansion of im in re
6.822 * [backup-simplify]: Simplify im into im
6.822 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.823 * [backup-simplify]: Simplify (* -1 -1) into 1
6.823 * [backup-simplify]: Simplify (+ 1 0) into 1
6.824 * [backup-simplify]: Simplify (sqrt 1) into 1
6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.826 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.827 * [taylor]: Taking taylor expansion of re in re
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [backup-simplify]: Simplify 1 into 1
6.827 * [backup-simplify]: Simplify (/ 1 1) into 1
6.828 * [backup-simplify]: Simplify (+ 1 1) into 2
6.828 * [taylor]: Taking taylor expansion of 2 in im
6.828 * [backup-simplify]: Simplify 2 into 2
6.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.833 * [backup-simplify]: Simplify (+ 0 0) into 0
6.833 * [taylor]: Taking taylor expansion of 0 in im
6.833 * [backup-simplify]: Simplify 0 into 0
6.834 * [backup-simplify]: Simplify 2 into 2
6.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.837 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.837 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.838 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.840 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.840 * [taylor]: Taking taylor expansion of 1/2 in im
6.840 * [backup-simplify]: Simplify 1/2 into 1/2
6.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.840 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.840 * [taylor]: Taking taylor expansion of im in im
6.840 * [backup-simplify]: Simplify 0 into 0
6.840 * [backup-simplify]: Simplify 1 into 1
6.840 * [backup-simplify]: Simplify (* 1 1) into 1
6.841 * [backup-simplify]: Simplify (/ 1 1) into 1
6.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.843 * [backup-simplify]: Simplify 0 into 0
6.843 * [backup-simplify]: Simplify 0 into 0
6.843 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.846 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.846 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.847 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.847 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.847 * [backup-simplify]: Simplify (+ 0 0) into 0
6.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.849 * [backup-simplify]: Simplify (+ 0 0) into 0
6.849 * [taylor]: Taking taylor expansion of 0 in im
6.849 * [backup-simplify]: Simplify 0 into 0
6.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.852 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1)
6.852 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
6.852 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.852 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.852 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.852 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.852 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.852 * [taylor]: Taking taylor expansion of (* re re) in im
6.853 * [taylor]: Taking taylor expansion of re in im
6.853 * [backup-simplify]: Simplify re into re
6.853 * [taylor]: Taking taylor expansion of re in im
6.853 * [backup-simplify]: Simplify re into re
6.853 * [taylor]: Taking taylor expansion of (* im im) in im
6.853 * [taylor]: Taking taylor expansion of im in im
6.853 * [backup-simplify]: Simplify 0 into 0
6.853 * [backup-simplify]: Simplify 1 into 1
6.853 * [taylor]: Taking taylor expansion of im in im
6.853 * [backup-simplify]: Simplify 0 into 0
6.853 * [backup-simplify]: Simplify 1 into 1
6.853 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.853 * [backup-simplify]: Simplify (* 0 0) into 0
6.853 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.854 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.854 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.854 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.855 * [backup-simplify]: Simplify (+ 0 0) into 0
6.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.855 * [taylor]: Taking taylor expansion of re in im
6.855 * [backup-simplify]: Simplify re into re
6.855 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.855 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.855 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.855 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.855 * [taylor]: Taking taylor expansion of (* re re) in re
6.855 * [taylor]: Taking taylor expansion of re in re
6.855 * [backup-simplify]: Simplify 0 into 0
6.855 * [backup-simplify]: Simplify 1 into 1
6.855 * [taylor]: Taking taylor expansion of re in re
6.855 * [backup-simplify]: Simplify 0 into 0
6.855 * [backup-simplify]: Simplify 1 into 1
6.855 * [taylor]: Taking taylor expansion of (* im im) in re
6.855 * [taylor]: Taking taylor expansion of im in re
6.855 * [backup-simplify]: Simplify im into im
6.855 * [taylor]: Taking taylor expansion of im in re
6.855 * [backup-simplify]: Simplify im into im
6.856 * [backup-simplify]: Simplify (* 0 0) into 0
6.856 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.856 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.856 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.857 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.857 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.857 * [backup-simplify]: Simplify (+ 0 0) into 0
6.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.857 * [taylor]: Taking taylor expansion of re in re
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify 1 into 1
6.857 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.857 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.858 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.858 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.858 * [taylor]: Taking taylor expansion of (* re re) in re
6.858 * [taylor]: Taking taylor expansion of re in re
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 1 into 1
6.858 * [taylor]: Taking taylor expansion of re in re
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 1 into 1
6.858 * [taylor]: Taking taylor expansion of (* im im) in re
6.858 * [taylor]: Taking taylor expansion of im in re
6.858 * [backup-simplify]: Simplify im into im
6.858 * [taylor]: Taking taylor expansion of im in re
6.858 * [backup-simplify]: Simplify im into im
6.859 * [backup-simplify]: Simplify (* 0 0) into 0
6.859 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.859 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.859 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.860 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.860 * [backup-simplify]: Simplify (+ 0 0) into 0
6.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.861 * [taylor]: Taking taylor expansion of re in re
6.861 * [backup-simplify]: Simplify 0 into 0
6.861 * [backup-simplify]: Simplify 1 into 1
6.861 * [backup-simplify]: Simplify (- 0) into 0
6.861 * [backup-simplify]: Simplify (+ im 0) into im
6.861 * [taylor]: Taking taylor expansion of im in im
6.861 * [backup-simplify]: Simplify 0 into 0
6.861 * [backup-simplify]: Simplify 1 into 1
6.861 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify (- 1) into -1
6.862 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.862 * [taylor]: Taking taylor expansion of -1 in im
6.862 * [backup-simplify]: Simplify -1 into -1
6.863 * [backup-simplify]: Simplify -1 into -1
6.863 * [backup-simplify]: Simplify 1 into 1
6.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.864 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.865 * [backup-simplify]: Simplify (+ 1 0) into 1
6.865 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.866 * [backup-simplify]: Simplify (- 0) into 0
6.866 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.866 * [taylor]: Taking taylor expansion of 1/2 in im
6.866 * [backup-simplify]: Simplify 1/2 into 1/2
6.866 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.866 * [taylor]: Taking taylor expansion of im in im
6.866 * [backup-simplify]: Simplify 0 into 0
6.866 * [backup-simplify]: Simplify 1 into 1
6.867 * [backup-simplify]: Simplify (/ 1 1) into 1
6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.868 * [backup-simplify]: Simplify 0 into 0
6.868 * [backup-simplify]: Simplify 0 into 0
6.868 * [backup-simplify]: Simplify 0 into 0
6.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.870 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.871 * [backup-simplify]: Simplify (+ 0 0) into 0
6.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.871 * [backup-simplify]: Simplify (- 0) into 0
6.872 * [backup-simplify]: Simplify (+ 0 0) into 0
6.872 * [taylor]: Taking taylor expansion of 0 in im
6.872 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify 0 into 0
6.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.874 * [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))
6.875 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.875 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.875 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.875 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.875 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.875 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.875 * [taylor]: Taking taylor expansion of re in im
6.875 * [backup-simplify]: Simplify re into re
6.875 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.875 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.875 * [taylor]: Taking taylor expansion of re in im
6.875 * [backup-simplify]: Simplify re into re
6.875 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.875 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.875 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.875 * [taylor]: Taking taylor expansion of im in im
6.875 * [backup-simplify]: Simplify 0 into 0
6.875 * [backup-simplify]: Simplify 1 into 1
6.876 * [backup-simplify]: Simplify (/ 1 1) into 1
6.876 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.876 * [taylor]: Taking taylor expansion of im in im
6.876 * [backup-simplify]: Simplify 0 into 0
6.876 * [backup-simplify]: Simplify 1 into 1
6.876 * [backup-simplify]: Simplify (/ 1 1) into 1
6.877 * [backup-simplify]: Simplify (* 1 1) into 1
6.877 * [backup-simplify]: Simplify (+ 0 1) into 1
6.877 * [backup-simplify]: Simplify (sqrt 1) into 1
6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.880 * [backup-simplify]: Simplify (+ 0 0) into 0
6.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.881 * [taylor]: Taking taylor expansion of re in im
6.881 * [backup-simplify]: Simplify re into re
6.881 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.881 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.881 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.881 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.881 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.881 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.881 * [taylor]: Taking taylor expansion of re in re
6.881 * [backup-simplify]: Simplify 0 into 0
6.881 * [backup-simplify]: Simplify 1 into 1
6.882 * [backup-simplify]: Simplify (/ 1 1) into 1
6.882 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.882 * [taylor]: Taking taylor expansion of re in re
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify 1 into 1
6.882 * [backup-simplify]: Simplify (/ 1 1) into 1
6.882 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.882 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.882 * [taylor]: Taking taylor expansion of im in re
6.882 * [backup-simplify]: Simplify im into im
6.882 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.882 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.882 * [taylor]: Taking taylor expansion of im in re
6.883 * [backup-simplify]: Simplify im into im
6.883 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.883 * [backup-simplify]: Simplify (* 1 1) into 1
6.883 * [backup-simplify]: Simplify (+ 1 0) into 1
6.884 * [backup-simplify]: Simplify (sqrt 1) into 1
6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.886 * [backup-simplify]: Simplify (+ 0 0) into 0
6.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.887 * [taylor]: Taking taylor expansion of re in re
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 1 into 1
6.887 * [backup-simplify]: Simplify (/ 1 1) into 1
6.888 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.888 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.888 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.888 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.888 * [taylor]: Taking taylor expansion of re in re
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify 1 into 1
6.888 * [backup-simplify]: Simplify (/ 1 1) into 1
6.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.888 * [taylor]: Taking taylor expansion of re in re
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify 1 into 1
6.889 * [backup-simplify]: Simplify (/ 1 1) into 1
6.889 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.889 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.889 * [taylor]: Taking taylor expansion of im in re
6.889 * [backup-simplify]: Simplify im into im
6.889 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.889 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.889 * [taylor]: Taking taylor expansion of im in re
6.889 * [backup-simplify]: Simplify im into im
6.889 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.890 * [backup-simplify]: Simplify (* 1 1) into 1
6.890 * [backup-simplify]: Simplify (+ 1 0) into 1
6.890 * [backup-simplify]: Simplify (sqrt 1) into 1
6.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.893 * [backup-simplify]: Simplify (+ 0 0) into 0
6.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.894 * [taylor]: Taking taylor expansion of re in re
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 1 into 1
6.894 * [backup-simplify]: Simplify (/ 1 1) into 1
6.894 * [backup-simplify]: Simplify (- 1) into -1
6.895 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.895 * [taylor]: Taking taylor expansion of 0 in im
6.895 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.896 * [backup-simplify]: Simplify (- 0) into 0
6.896 * [backup-simplify]: Simplify (+ 0 0) into 0
6.896 * [taylor]: Taking taylor expansion of 0 in im
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify 0 into 0
6.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.899 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.899 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.901 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.902 * [backup-simplify]: Simplify (- 0) into 0
6.902 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.902 * [taylor]: Taking taylor expansion of 1/2 in im
6.902 * [backup-simplify]: Simplify 1/2 into 1/2
6.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.902 * [taylor]: Taking taylor expansion of im in im
6.902 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify 1 into 1
6.903 * [backup-simplify]: Simplify (* 1 1) into 1
6.904 * [backup-simplify]: Simplify (/ 1 1) into 1
6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.910 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.910 * [backup-simplify]: Simplify (+ 0 0) into 0
6.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.912 * [backup-simplify]: Simplify (- 0) into 0
6.912 * [backup-simplify]: Simplify (+ 0 0) into 0
6.913 * [taylor]: Taking taylor expansion of 0 in im
6.913 * [backup-simplify]: Simplify 0 into 0
6.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [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))
6.916 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.916 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.916 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.917 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.917 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.917 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.917 * [taylor]: Taking taylor expansion of -1 in im
6.917 * [backup-simplify]: Simplify -1 into -1
6.917 * [taylor]: Taking taylor expansion of re in im
6.917 * [backup-simplify]: Simplify re into re
6.917 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.917 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.917 * [taylor]: Taking taylor expansion of -1 in im
6.917 * [backup-simplify]: Simplify -1 into -1
6.917 * [taylor]: Taking taylor expansion of re in im
6.917 * [backup-simplify]: Simplify re into re
6.917 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.917 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.917 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.917 * [taylor]: Taking taylor expansion of -1 in im
6.917 * [backup-simplify]: Simplify -1 into -1
6.917 * [taylor]: Taking taylor expansion of im in im
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 1 into 1
6.918 * [backup-simplify]: Simplify (/ -1 1) into -1
6.918 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.918 * [taylor]: Taking taylor expansion of -1 in im
6.918 * [backup-simplify]: Simplify -1 into -1
6.918 * [taylor]: Taking taylor expansion of im in im
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify 1 into 1
6.918 * [backup-simplify]: Simplify (/ -1 1) into -1
6.919 * [backup-simplify]: Simplify (* -1 -1) into 1
6.919 * [backup-simplify]: Simplify (+ 0 1) into 1
6.920 * [backup-simplify]: Simplify (sqrt 1) into 1
6.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.923 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.923 * [backup-simplify]: Simplify (+ 0 0) into 0
6.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.924 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.924 * [taylor]: Taking taylor expansion of re in im
6.924 * [backup-simplify]: Simplify re into re
6.924 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.924 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.924 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.925 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.925 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.925 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.925 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.925 * [taylor]: Taking taylor expansion of -1 in re
6.925 * [backup-simplify]: Simplify -1 into -1
6.925 * [taylor]: Taking taylor expansion of re in re
6.925 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify 1 into 1
6.925 * [backup-simplify]: Simplify (/ -1 1) into -1
6.925 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.925 * [taylor]: Taking taylor expansion of -1 in re
6.926 * [backup-simplify]: Simplify -1 into -1
6.926 * [taylor]: Taking taylor expansion of re in re
6.926 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify (/ -1 1) into -1
6.926 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.926 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.926 * [taylor]: Taking taylor expansion of -1 in re
6.926 * [backup-simplify]: Simplify -1 into -1
6.926 * [taylor]: Taking taylor expansion of im in re
6.926 * [backup-simplify]: Simplify im into im
6.926 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.926 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.926 * [taylor]: Taking taylor expansion of -1 in re
6.926 * [backup-simplify]: Simplify -1 into -1
6.926 * [taylor]: Taking taylor expansion of im in re
6.926 * [backup-simplify]: Simplify im into im
6.927 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.927 * [backup-simplify]: Simplify (* -1 -1) into 1
6.927 * [backup-simplify]: Simplify (+ 1 0) into 1
6.928 * [backup-simplify]: Simplify (sqrt 1) into 1
6.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.930 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.931 * [backup-simplify]: Simplify (+ 0 0) into 0
6.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.932 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.932 * [taylor]: Taking taylor expansion of re in re
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 1 into 1
6.932 * [backup-simplify]: Simplify (/ 1 1) into 1
6.933 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.933 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.933 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.933 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.933 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.933 * [taylor]: Taking taylor expansion of -1 in re
6.933 * [backup-simplify]: Simplify -1 into -1
6.933 * [taylor]: Taking taylor expansion of re in re
6.933 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify 1 into 1
6.934 * [backup-simplify]: Simplify (/ -1 1) into -1
6.934 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.934 * [taylor]: Taking taylor expansion of -1 in re
6.934 * [backup-simplify]: Simplify -1 into -1
6.934 * [taylor]: Taking taylor expansion of re in re
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [backup-simplify]: Simplify (/ -1 1) into -1
6.934 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.934 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.934 * [taylor]: Taking taylor expansion of -1 in re
6.934 * [backup-simplify]: Simplify -1 into -1
6.934 * [taylor]: Taking taylor expansion of im in re
6.934 * [backup-simplify]: Simplify im into im
6.935 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.935 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.935 * [taylor]: Taking taylor expansion of -1 in re
6.935 * [backup-simplify]: Simplify -1 into -1
6.935 * [taylor]: Taking taylor expansion of im in re
6.935 * [backup-simplify]: Simplify im into im
6.935 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.935 * [backup-simplify]: Simplify (* -1 -1) into 1
6.936 * [backup-simplify]: Simplify (+ 1 0) into 1
6.936 * [backup-simplify]: Simplify (sqrt 1) into 1
6.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.939 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.939 * [backup-simplify]: Simplify (+ 0 0) into 0
6.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.940 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.940 * [taylor]: Taking taylor expansion of re in re
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [backup-simplify]: Simplify (/ 1 1) into 1
6.941 * [backup-simplify]: Simplify (+ 1 1) into 2
6.941 * [taylor]: Taking taylor expansion of 2 in im
6.941 * [backup-simplify]: Simplify 2 into 2
6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.942 * [backup-simplify]: Simplify (+ 0 0) into 0
6.942 * [taylor]: Taking taylor expansion of 0 in im
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 2 into 2
6.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.945 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.946 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.947 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.948 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.949 * [taylor]: Taking taylor expansion of 1/2 in im
6.949 * [backup-simplify]: Simplify 1/2 into 1/2
6.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.949 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.949 * [taylor]: Taking taylor expansion of im in im
6.949 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify 1 into 1
6.949 * [backup-simplify]: Simplify (* 1 1) into 1
6.950 * [backup-simplify]: Simplify (/ 1 1) into 1
6.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 0 into 0
6.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.956 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.956 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.956 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.956 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.959 * [backup-simplify]: Simplify (+ 0 0) into 0
6.959 * [taylor]: Taking taylor expansion of 0 in im
6.959 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.962 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1)
6.963 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
6.963 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.963 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.963 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.963 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.963 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.963 * [taylor]: Taking taylor expansion of (* re re) in im
6.963 * [taylor]: Taking taylor expansion of re in im
6.963 * [backup-simplify]: Simplify re into re
6.963 * [taylor]: Taking taylor expansion of re in im
6.963 * [backup-simplify]: Simplify re into re
6.963 * [taylor]: Taking taylor expansion of (* im im) in im
6.963 * [taylor]: Taking taylor expansion of im in im
6.963 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify 1 into 1
6.963 * [taylor]: Taking taylor expansion of im in im
6.963 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify 1 into 1
6.963 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.964 * [backup-simplify]: Simplify (* 0 0) into 0
6.964 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.964 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.964 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.964 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.965 * [taylor]: Taking taylor expansion of re in im
6.965 * [backup-simplify]: Simplify re into re
6.965 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.965 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.965 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.965 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.965 * [taylor]: Taking taylor expansion of (* re re) in re
6.965 * [taylor]: Taking taylor expansion of re in re
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 1 into 1
6.965 * [taylor]: Taking taylor expansion of re in re
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 1 into 1
6.965 * [taylor]: Taking taylor expansion of (* im im) in re
6.965 * [taylor]: Taking taylor expansion of im in re
6.965 * [backup-simplify]: Simplify im into im
6.965 * [taylor]: Taking taylor expansion of im in re
6.965 * [backup-simplify]: Simplify im into im
6.965 * [backup-simplify]: Simplify (* 0 0) into 0
6.965 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.966 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.966 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.966 * [backup-simplify]: Simplify (+ 0 0) into 0
6.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.966 * [taylor]: Taking taylor expansion of re in re
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.967 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.967 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.967 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.967 * [taylor]: Taking taylor expansion of (* re re) in re
6.967 * [taylor]: Taking taylor expansion of re in re
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [taylor]: Taking taylor expansion of re in re
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [taylor]: Taking taylor expansion of (* im im) in re
6.967 * [taylor]: Taking taylor expansion of im in re
6.967 * [backup-simplify]: Simplify im into im
6.967 * [taylor]: Taking taylor expansion of im in re
6.967 * [backup-simplify]: Simplify im into im
6.967 * [backup-simplify]: Simplify (* 0 0) into 0
6.967 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.967 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.967 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.968 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.968 * [backup-simplify]: Simplify (+ 0 0) into 0
6.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.968 * [taylor]: Taking taylor expansion of re in re
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 1 into 1
6.969 * [backup-simplify]: Simplify (- 0) into 0
6.969 * [backup-simplify]: Simplify (+ im 0) into im
6.969 * [taylor]: Taking taylor expansion of im in im
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify (- 1) into -1
6.969 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.969 * [taylor]: Taking taylor expansion of -1 in im
6.969 * [backup-simplify]: Simplify -1 into -1
6.969 * [backup-simplify]: Simplify -1 into -1
6.969 * [backup-simplify]: Simplify 1 into 1
6.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.970 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.971 * [backup-simplify]: Simplify (+ 1 0) into 1
6.971 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.971 * [backup-simplify]: Simplify (- 0) into 0
6.971 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.971 * [taylor]: Taking taylor expansion of 1/2 in im
6.971 * [backup-simplify]: Simplify 1/2 into 1/2
6.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.971 * [taylor]: Taking taylor expansion of im in im
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.972 * [backup-simplify]: Simplify (/ 1 1) into 1
6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.974 * [backup-simplify]: Simplify (+ 0 0) into 0
6.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.974 * [backup-simplify]: Simplify (- 0) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.975 * [taylor]: Taking taylor expansion of 0 in im
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.976 * [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))
6.976 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.976 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.976 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.977 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.977 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.977 * [taylor]: Taking taylor expansion of re in im
6.977 * [backup-simplify]: Simplify re into re
6.977 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.977 * [taylor]: Taking taylor expansion of re in im
6.977 * [backup-simplify]: Simplify re into re
6.977 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.977 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.977 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.977 * [taylor]: Taking taylor expansion of im in im
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 1 into 1
6.977 * [backup-simplify]: Simplify (/ 1 1) into 1
6.977 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.977 * [taylor]: Taking taylor expansion of im in im
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 1 into 1
6.977 * [backup-simplify]: Simplify (/ 1 1) into 1
6.978 * [backup-simplify]: Simplify (* 1 1) into 1
6.978 * [backup-simplify]: Simplify (+ 0 1) into 1
6.978 * [backup-simplify]: Simplify (sqrt 1) into 1
6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.980 * [backup-simplify]: Simplify (+ 0 0) into 0
6.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.980 * [taylor]: Taking taylor expansion of re in im
6.980 * [backup-simplify]: Simplify re into re
6.980 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.980 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.980 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.980 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.980 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.980 * [taylor]: Taking taylor expansion of re in re
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.981 * [backup-simplify]: Simplify (/ 1 1) into 1
6.981 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.981 * [taylor]: Taking taylor expansion of re in re
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.985 * [backup-simplify]: Simplify (/ 1 1) into 1
6.985 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.985 * [taylor]: Taking taylor expansion of im in re
6.985 * [backup-simplify]: Simplify im into im
6.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.985 * [taylor]: Taking taylor expansion of im in re
6.985 * [backup-simplify]: Simplify im into im
6.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.985 * [backup-simplify]: Simplify (* 1 1) into 1
6.986 * [backup-simplify]: Simplify (+ 1 0) into 1
6.986 * [backup-simplify]: Simplify (sqrt 1) into 1
6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.987 * [backup-simplify]: Simplify (+ 0 0) into 0
6.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.988 * [taylor]: Taking taylor expansion of re in re
6.988 * [backup-simplify]: Simplify 0 into 0
6.988 * [backup-simplify]: Simplify 1 into 1
6.988 * [backup-simplify]: Simplify (/ 1 1) into 1
6.988 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.988 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.988 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.988 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.988 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.988 * [taylor]: Taking taylor expansion of re in re
6.988 * [backup-simplify]: Simplify 0 into 0
6.988 * [backup-simplify]: Simplify 1 into 1
6.989 * [backup-simplify]: Simplify (/ 1 1) into 1
6.989 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.989 * [taylor]: Taking taylor expansion of re in re
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 1 into 1
6.989 * [backup-simplify]: Simplify (/ 1 1) into 1
6.989 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.989 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.989 * [taylor]: Taking taylor expansion of im in re
6.989 * [backup-simplify]: Simplify im into im
6.989 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.989 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.989 * [taylor]: Taking taylor expansion of im in re
6.989 * [backup-simplify]: Simplify im into im
6.989 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.989 * [backup-simplify]: Simplify (* 1 1) into 1
6.990 * [backup-simplify]: Simplify (+ 1 0) into 1
6.990 * [backup-simplify]: Simplify (sqrt 1) into 1
6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.991 * [backup-simplify]: Simplify (+ 0 0) into 0
6.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.992 * [taylor]: Taking taylor expansion of re in re
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify 1 into 1
6.992 * [backup-simplify]: Simplify (/ 1 1) into 1
6.993 * [backup-simplify]: Simplify (- 1) into -1
6.993 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.993 * [taylor]: Taking taylor expansion of 0 in im
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.994 * [backup-simplify]: Simplify (- 0) into 0
6.994 * [backup-simplify]: Simplify (+ 0 0) into 0
6.994 * [taylor]: Taking taylor expansion of 0 in im
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.996 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.996 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.996 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.997 * [backup-simplify]: Simplify (- 0) into 0
6.997 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.997 * [taylor]: Taking taylor expansion of 1/2 in im
6.997 * [backup-simplify]: Simplify 1/2 into 1/2
6.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.998 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.998 * [taylor]: Taking taylor expansion of im in im
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify 1 into 1
6.998 * [backup-simplify]: Simplify (* 1 1) into 1
6.998 * [backup-simplify]: Simplify (/ 1 1) into 1
6.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.003 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.003 * [backup-simplify]: Simplify (+ 0 0) into 0
7.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.006 * [backup-simplify]: Simplify (- 0) into 0
7.006 * [backup-simplify]: Simplify (+ 0 0) into 0
7.006 * [taylor]: Taking taylor expansion of 0 in im
7.006 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.009 * [backup-simplify]: Simplify 0 into 0
7.009 * [backup-simplify]: Simplify 0 into 0
7.009 * [backup-simplify]: Simplify 0 into 0
7.010 * [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))
7.010 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
7.010 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
7.010 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.010 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.010 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.010 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.010 * [taylor]: Taking taylor expansion of -1 in im
7.010 * [backup-simplify]: Simplify -1 into -1
7.010 * [taylor]: Taking taylor expansion of re in im
7.010 * [backup-simplify]: Simplify re into re
7.010 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.010 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.010 * [taylor]: Taking taylor expansion of -1 in im
7.010 * [backup-simplify]: Simplify -1 into -1
7.010 * [taylor]: Taking taylor expansion of re in im
7.010 * [backup-simplify]: Simplify re into re
7.011 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.011 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.011 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.011 * [taylor]: Taking taylor expansion of -1 in im
7.011 * [backup-simplify]: Simplify -1 into -1
7.011 * [taylor]: Taking taylor expansion of im in im
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [backup-simplify]: Simplify (/ -1 1) into -1
7.011 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.011 * [taylor]: Taking taylor expansion of -1 in im
7.011 * [backup-simplify]: Simplify -1 into -1
7.011 * [taylor]: Taking taylor expansion of im in im
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [backup-simplify]: Simplify (/ -1 1) into -1
7.012 * [backup-simplify]: Simplify (* -1 -1) into 1
7.013 * [backup-simplify]: Simplify (+ 0 1) into 1
7.013 * [backup-simplify]: Simplify (sqrt 1) into 1
7.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.015 * [backup-simplify]: Simplify (+ 0 0) into 0
7.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.016 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.016 * [taylor]: Taking taylor expansion of re in im
7.016 * [backup-simplify]: Simplify re into re
7.016 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.016 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.016 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.016 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.016 * [taylor]: Taking taylor expansion of -1 in re
7.016 * [backup-simplify]: Simplify -1 into -1
7.016 * [taylor]: Taking taylor expansion of re in re
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.016 * [backup-simplify]: Simplify (/ -1 1) into -1
7.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.016 * [taylor]: Taking taylor expansion of -1 in re
7.016 * [backup-simplify]: Simplify -1 into -1
7.016 * [taylor]: Taking taylor expansion of re in re
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.017 * [backup-simplify]: Simplify (/ -1 1) into -1
7.017 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.017 * [taylor]: Taking taylor expansion of -1 in re
7.017 * [backup-simplify]: Simplify -1 into -1
7.017 * [taylor]: Taking taylor expansion of im in re
7.017 * [backup-simplify]: Simplify im into im
7.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.017 * [taylor]: Taking taylor expansion of -1 in re
7.017 * [backup-simplify]: Simplify -1 into -1
7.017 * [taylor]: Taking taylor expansion of im in re
7.017 * [backup-simplify]: Simplify im into im
7.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.017 * [backup-simplify]: Simplify (* -1 -1) into 1
7.018 * [backup-simplify]: Simplify (+ 1 0) into 1
7.018 * [backup-simplify]: Simplify (sqrt 1) into 1
7.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.019 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.019 * [backup-simplify]: Simplify (+ 0 0) into 0
7.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.020 * [taylor]: Taking taylor expansion of re in re
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 1 into 1
7.020 * [backup-simplify]: Simplify (/ 1 1) into 1
7.020 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.020 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.020 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.020 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.020 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.020 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.020 * [taylor]: Taking taylor expansion of -1 in re
7.021 * [backup-simplify]: Simplify -1 into -1
7.021 * [taylor]: Taking taylor expansion of re in re
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [backup-simplify]: Simplify (/ -1 1) into -1
7.021 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.021 * [taylor]: Taking taylor expansion of -1 in re
7.021 * [backup-simplify]: Simplify -1 into -1
7.021 * [taylor]: Taking taylor expansion of re in re
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [backup-simplify]: Simplify (/ -1 1) into -1
7.021 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.021 * [taylor]: Taking taylor expansion of -1 in re
7.021 * [backup-simplify]: Simplify -1 into -1
7.021 * [taylor]: Taking taylor expansion of im in re
7.021 * [backup-simplify]: Simplify im into im
7.021 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.021 * [taylor]: Taking taylor expansion of -1 in re
7.021 * [backup-simplify]: Simplify -1 into -1
7.021 * [taylor]: Taking taylor expansion of im in re
7.021 * [backup-simplify]: Simplify im into im
7.022 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.022 * [backup-simplify]: Simplify (* -1 -1) into 1
7.022 * [backup-simplify]: Simplify (+ 1 0) into 1
7.022 * [backup-simplify]: Simplify (sqrt 1) into 1
7.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.024 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.024 * [backup-simplify]: Simplify (+ 0 0) into 0
7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.025 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.025 * [taylor]: Taking taylor expansion of re in re
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 1 into 1
7.025 * [backup-simplify]: Simplify (/ 1 1) into 1
7.026 * [backup-simplify]: Simplify (+ 1 1) into 2
7.026 * [taylor]: Taking taylor expansion of 2 in im
7.026 * [backup-simplify]: Simplify 2 into 2
7.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.026 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [taylor]: Taking taylor expansion of 0 in im
7.026 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify 2 into 2
7.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.028 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.029 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.030 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.030 * [taylor]: Taking taylor expansion of 1/2 in im
7.030 * [backup-simplify]: Simplify 1/2 into 1/2
7.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.030 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.030 * [taylor]: Taking taylor expansion of im in im
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 1 into 1
7.030 * [backup-simplify]: Simplify (* 1 1) into 1
7.031 * [backup-simplify]: Simplify (/ 1 1) into 1
7.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.034 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.034 * [backup-simplify]: Simplify (+ 0 0) into 0
7.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.036 * [backup-simplify]: Simplify (+ 0 0) into 0
7.036 * [taylor]: Taking taylor expansion of 0 in im
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
7.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1)
7.038 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
7.038 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
7.038 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.038 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.038 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.038 * [taylor]: Taking taylor expansion of (* re re) in im
7.038 * [taylor]: Taking taylor expansion of re in im
7.038 * [backup-simplify]: Simplify re into re
7.038 * [taylor]: Taking taylor expansion of re in im
7.038 * [backup-simplify]: Simplify re into re
7.038 * [taylor]: Taking taylor expansion of (* im im) in im
7.038 * [taylor]: Taking taylor expansion of im in im
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 1 into 1
7.038 * [taylor]: Taking taylor expansion of im in im
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 1 into 1
7.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.038 * [backup-simplify]: Simplify (* 0 0) into 0
7.039 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.039 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.039 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.039 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.039 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.040 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.040 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.040 * [taylor]: Taking taylor expansion of (* re re) in re
7.040 * [taylor]: Taking taylor expansion of re in re
7.040 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify 1 into 1
7.040 * [taylor]: Taking taylor expansion of re in re
7.040 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify 1 into 1
7.040 * [taylor]: Taking taylor expansion of (* im im) in re
7.040 * [taylor]: Taking taylor expansion of im in re
7.040 * [backup-simplify]: Simplify im into im
7.040 * [taylor]: Taking taylor expansion of im in re
7.040 * [backup-simplify]: Simplify im into im
7.040 * [backup-simplify]: Simplify (* 0 0) into 0
7.040 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.040 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.040 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.041 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.041 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.041 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.041 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.041 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.041 * [taylor]: Taking taylor expansion of (* re re) in re
7.041 * [taylor]: Taking taylor expansion of re in re
7.041 * [backup-simplify]: Simplify 0 into 0
7.041 * [backup-simplify]: Simplify 1 into 1
7.041 * [taylor]: Taking taylor expansion of re in re
7.041 * [backup-simplify]: Simplify 0 into 0
7.041 * [backup-simplify]: Simplify 1 into 1
7.041 * [taylor]: Taking taylor expansion of (* im im) in re
7.041 * [taylor]: Taking taylor expansion of im in re
7.041 * [backup-simplify]: Simplify im into im
7.041 * [taylor]: Taking taylor expansion of im in re
7.041 * [backup-simplify]: Simplify im into im
7.042 * [backup-simplify]: Simplify (* 0 0) into 0
7.042 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.042 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.042 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.042 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.042 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.043 * [backup-simplify]: Simplify (+ 0 0) into 0
7.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.043 * [taylor]: Taking taylor expansion of im in im
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [taylor]: Taking taylor expansion of 0 in im
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.044 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.044 * [backup-simplify]: Simplify (+ 1 0) into 1
7.045 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.045 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.045 * [taylor]: Taking taylor expansion of 1/2 in im
7.045 * [backup-simplify]: Simplify 1/2 into 1/2
7.045 * [taylor]: Taking taylor expansion of im in im
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.046 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.049 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.049 * [backup-simplify]: Simplify (+ 0 0) into 0
7.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.049 * [taylor]: Taking taylor expansion of 0 in im
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.051 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
7.051 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
7.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.051 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.051 * [taylor]: Taking taylor expansion of re in im
7.051 * [backup-simplify]: Simplify re into re
7.051 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.051 * [taylor]: Taking taylor expansion of re in im
7.051 * [backup-simplify]: Simplify re into re
7.051 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.051 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.051 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.051 * [taylor]: Taking taylor expansion of im in im
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify (/ 1 1) into 1
7.052 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.052 * [taylor]: Taking taylor expansion of im in im
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify (/ 1 1) into 1
7.053 * [backup-simplify]: Simplify (* 1 1) into 1
7.053 * [backup-simplify]: Simplify (+ 0 1) into 1
7.053 * [backup-simplify]: Simplify (sqrt 1) into 1
7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.056 * [backup-simplify]: Simplify (+ 0 0) into 0
7.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.057 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.057 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.057 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.057 * [taylor]: Taking taylor expansion of re in re
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.057 * [backup-simplify]: Simplify (/ 1 1) into 1
7.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.058 * [taylor]: Taking taylor expansion of re in re
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ 1 1) into 1
7.058 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.058 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.058 * [taylor]: Taking taylor expansion of im in re
7.058 * [backup-simplify]: Simplify im into im
7.058 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.058 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.058 * [taylor]: Taking taylor expansion of im in re
7.058 * [backup-simplify]: Simplify im into im
7.058 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.059 * [backup-simplify]: Simplify (* 1 1) into 1
7.059 * [backup-simplify]: Simplify (+ 1 0) into 1
7.059 * [backup-simplify]: Simplify (sqrt 1) into 1
7.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.063 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.063 * [taylor]: Taking taylor expansion of re in re
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.063 * [backup-simplify]: Simplify (/ 1 1) into 1
7.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.063 * [taylor]: Taking taylor expansion of re in re
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.064 * [taylor]: Taking taylor expansion of im in re
7.064 * [backup-simplify]: Simplify im into im
7.064 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.064 * [taylor]: Taking taylor expansion of im in re
7.064 * [backup-simplify]: Simplify im into im
7.064 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.065 * [backup-simplify]: Simplify (* 1 1) into 1
7.065 * [backup-simplify]: Simplify (+ 1 0) into 1
7.066 * [backup-simplify]: Simplify (sqrt 1) into 1
7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.068 * [backup-simplify]: Simplify (+ 0 0) into 0
7.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.069 * [taylor]: Taking taylor expansion of 1 in im
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [taylor]: Taking taylor expansion of 0 in im
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.072 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.073 * [taylor]: Taking taylor expansion of 1/2 in im
7.073 * [backup-simplify]: Simplify 1/2 into 1/2
7.073 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.073 * [taylor]: Taking taylor expansion of im in im
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [backup-simplify]: Simplify (* 1 1) into 1
7.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.076 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.076 * [backup-simplify]: Simplify (+ 0 0) into 0
7.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.077 * [taylor]: Taking taylor expansion of 0 in im
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.078 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
7.078 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
7.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.079 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.079 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.079 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.079 * [taylor]: Taking taylor expansion of -1 in im
7.079 * [backup-simplify]: Simplify -1 into -1
7.079 * [taylor]: Taking taylor expansion of re in im
7.079 * [backup-simplify]: Simplify re into re
7.079 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.079 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.079 * [taylor]: Taking taylor expansion of -1 in im
7.079 * [backup-simplify]: Simplify -1 into -1
7.079 * [taylor]: Taking taylor expansion of re in im
7.079 * [backup-simplify]: Simplify re into re
7.079 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.079 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.079 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.079 * [taylor]: Taking taylor expansion of -1 in im
7.079 * [backup-simplify]: Simplify -1 into -1
7.079 * [taylor]: Taking taylor expansion of im in im
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 1 into 1
7.079 * [backup-simplify]: Simplify (/ -1 1) into -1
7.079 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.079 * [taylor]: Taking taylor expansion of -1 in im
7.079 * [backup-simplify]: Simplify -1 into -1
7.079 * [taylor]: Taking taylor expansion of im in im
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 1 into 1
7.080 * [backup-simplify]: Simplify (/ -1 1) into -1
7.080 * [backup-simplify]: Simplify (* -1 -1) into 1
7.080 * [backup-simplify]: Simplify (+ 0 1) into 1
7.080 * [backup-simplify]: Simplify (sqrt 1) into 1
7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.082 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.082 * [backup-simplify]: Simplify (+ 0 0) into 0
7.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.082 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.083 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.083 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.083 * [taylor]: Taking taylor expansion of -1 in re
7.083 * [backup-simplify]: Simplify -1 into -1
7.083 * [taylor]: Taking taylor expansion of re in re
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 1 into 1
7.083 * [backup-simplify]: Simplify (/ -1 1) into -1
7.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.083 * [taylor]: Taking taylor expansion of -1 in re
7.083 * [backup-simplify]: Simplify -1 into -1
7.083 * [taylor]: Taking taylor expansion of re in re
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 1 into 1
7.083 * [backup-simplify]: Simplify (/ -1 1) into -1
7.083 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.083 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.083 * [taylor]: Taking taylor expansion of -1 in re
7.083 * [backup-simplify]: Simplify -1 into -1
7.083 * [taylor]: Taking taylor expansion of im in re
7.083 * [backup-simplify]: Simplify im into im
7.083 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.084 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.084 * [taylor]: Taking taylor expansion of -1 in re
7.084 * [backup-simplify]: Simplify -1 into -1
7.084 * [taylor]: Taking taylor expansion of im in re
7.084 * [backup-simplify]: Simplify im into im
7.084 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.084 * [backup-simplify]: Simplify (* -1 -1) into 1
7.084 * [backup-simplify]: Simplify (+ 1 0) into 1
7.084 * [backup-simplify]: Simplify (sqrt 1) into 1
7.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.086 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.086 * [backup-simplify]: Simplify (+ 0 0) into 0
7.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.086 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.087 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.087 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.087 * [taylor]: Taking taylor expansion of -1 in re
7.087 * [backup-simplify]: Simplify -1 into -1
7.087 * [taylor]: Taking taylor expansion of re in re
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (/ -1 1) into -1
7.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.087 * [taylor]: Taking taylor expansion of -1 in re
7.087 * [backup-simplify]: Simplify -1 into -1
7.087 * [taylor]: Taking taylor expansion of re in re
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (/ -1 1) into -1
7.088 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.088 * [taylor]: Taking taylor expansion of -1 in re
7.088 * [backup-simplify]: Simplify -1 into -1
7.088 * [taylor]: Taking taylor expansion of im in re
7.088 * [backup-simplify]: Simplify im into im
7.088 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.088 * [taylor]: Taking taylor expansion of -1 in re
7.088 * [backup-simplify]: Simplify -1 into -1
7.088 * [taylor]: Taking taylor expansion of im in re
7.088 * [backup-simplify]: Simplify im into im
7.088 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.088 * [backup-simplify]: Simplify (* -1 -1) into 1
7.088 * [backup-simplify]: Simplify (+ 1 0) into 1
7.089 * [backup-simplify]: Simplify (sqrt 1) into 1
7.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.090 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.091 * [taylor]: Taking taylor expansion of 1 in im
7.091 * [backup-simplify]: Simplify 1 into 1
7.091 * [taylor]: Taking taylor expansion of 0 in im
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.093 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.094 * [taylor]: Taking taylor expansion of 1/2 in im
7.094 * [backup-simplify]: Simplify 1/2 into 1/2
7.094 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.094 * [taylor]: Taking taylor expansion of im in im
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify (* 1 1) into 1
7.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.102 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.102 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.102 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.102 * [backup-simplify]: Simplify (+ 0 0) into 0
7.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.103 * [taylor]: Taking taylor expansion of 0 in im
7.103 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.105 * * * [progress]: simplifying candidates
7.106 * [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)
  (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)
  (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)))
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
7.108 * * [simplify]: iteration 0: 101 enodes
7.147 * * [simplify]: iteration 1: 214 enodes
7.249 * * [simplify]: iteration 2: 507 enodes
7.506 * * [simplify]: iteration 3: 1378 enodes
8.847 * * [simplify]: iteration complete: 5002 enodes
8.848 * * [simplify]: Extracting #0: cost 40 inf + 0
8.849 * * [simplify]: Extracting #1: cost 419 inf + 46
8.854 * * [simplify]: Extracting #2: cost 1293 inf + 3268
8.866 * * [simplify]: Extracting #3: cost 1251 inf + 49425
8.908 * * [simplify]: Extracting #4: cost 619 inf + 198333
8.975 * * [simplify]: Extracting #5: cost 81 inf + 341582
9.069 * * [simplify]: Extracting #6: cost 0 inf + 367468
9.142 * [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 re (+ re (hypot re im)) (* (hypot re im) (hypot re im)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (- (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 re (+ re (hypot re im)) (* (hypot re im) (hypot re im)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (- (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 re (+ re (hypot re im)) (* (hypot re im) (hypot re im)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (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
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (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)
  (- im re)
  0
  (* re -2)
  (- im re)
  0
  (* re -2)
  (- im re)
  0
  (* re -2)
  im
  re
  (- re)
9.163 * * * [progress]: adding candidates to table
9.907 * * [progress]: iteration 4 / 4
9.907 * * * [progress]: picking best candidate
9.980 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) 2.0))))>
9.980 * * * [progress]: localizing error
10.102 * * * [progress]: generating rewritten candidates
10.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1)
10.134 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1)
10.146 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1)
10.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1 2)
10.167 * * * [progress]: generating series expansions
10.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1)
10.167 * [backup-simplify]: Simplify (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) into (- (hypot re im) re)
10.167 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
10.167 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
10.167 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.167 * [taylor]: Taking taylor expansion of (* re re) in im
10.168 * [taylor]: Taking taylor expansion of re in im
10.168 * [backup-simplify]: Simplify re into re
10.168 * [taylor]: Taking taylor expansion of re in im
10.168 * [backup-simplify]: Simplify re into re
10.168 * [taylor]: Taking taylor expansion of (* im im) in im
10.168 * [taylor]: Taking taylor expansion of im in im
10.168 * [backup-simplify]: Simplify 0 into 0
10.168 * [backup-simplify]: Simplify 1 into 1
10.168 * [taylor]: Taking taylor expansion of im in im
10.168 * [backup-simplify]: Simplify 0 into 0
10.168 * [backup-simplify]: Simplify 1 into 1
10.168 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.168 * [backup-simplify]: Simplify (* 0 0) into 0
10.168 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.168 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.169 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.169 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.169 * [backup-simplify]: Simplify (+ 0 0) into 0
10.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.169 * [taylor]: Taking taylor expansion of re in im
10.169 * [backup-simplify]: Simplify re into re
10.169 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
10.169 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.169 * [taylor]: Taking taylor expansion of (* re re) in re
10.169 * [taylor]: Taking taylor expansion of re in re
10.169 * [backup-simplify]: Simplify 0 into 0
10.169 * [backup-simplify]: Simplify 1 into 1
10.170 * [taylor]: Taking taylor expansion of re in re
10.170 * [backup-simplify]: Simplify 0 into 0
10.170 * [backup-simplify]: Simplify 1 into 1
10.170 * [taylor]: Taking taylor expansion of (* im im) in re
10.170 * [taylor]: Taking taylor expansion of im in re
10.170 * [backup-simplify]: Simplify im into im
10.170 * [taylor]: Taking taylor expansion of im in re
10.170 * [backup-simplify]: Simplify im into im
10.170 * [backup-simplify]: Simplify (* 0 0) into 0
10.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.170 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.171 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.171 * [backup-simplify]: Simplify (+ 0 0) into 0
10.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.171 * [taylor]: Taking taylor expansion of re in re
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 1 into 1
10.171 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
10.171 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.171 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.171 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.171 * [taylor]: Taking taylor expansion of (* re re) in re
10.171 * [taylor]: Taking taylor expansion of re in re
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 1 into 1
10.171 * [taylor]: Taking taylor expansion of re in re
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 1 into 1
10.171 * [taylor]: Taking taylor expansion of (* im im) in re
10.171 * [taylor]: Taking taylor expansion of im in re
10.171 * [backup-simplify]: Simplify im into im
10.171 * [taylor]: Taking taylor expansion of im in re
10.171 * [backup-simplify]: Simplify im into im
10.172 * [backup-simplify]: Simplify (* 0 0) into 0
10.172 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.172 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.172 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.173 * [backup-simplify]: Simplify (+ 0 0) into 0
10.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.173 * [taylor]: Taking taylor expansion of re in re
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify 1 into 1
10.173 * [backup-simplify]: Simplify (- 0) into 0
10.173 * [backup-simplify]: Simplify (+ im 0) into im
10.173 * [taylor]: Taking taylor expansion of im in im
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify 1 into 1
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify (- 1) into -1
10.174 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.174 * [taylor]: Taking taylor expansion of -1 in im
10.174 * [backup-simplify]: Simplify -1 into -1
10.174 * [backup-simplify]: Simplify -1 into -1
10.174 * [backup-simplify]: Simplify 1 into 1
10.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.175 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.175 * [backup-simplify]: Simplify (+ 1 0) into 1
10.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.176 * [backup-simplify]: Simplify (- 0) into 0
10.176 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
10.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.176 * [taylor]: Taking taylor expansion of 1/2 in im
10.176 * [backup-simplify]: Simplify 1/2 into 1/2
10.176 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.176 * [taylor]: Taking taylor expansion of im in im
10.176 * [backup-simplify]: Simplify 0 into 0
10.176 * [backup-simplify]: Simplify 1 into 1
10.176 * [backup-simplify]: Simplify (/ 1 1) into 1
10.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.178 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.178 * [backup-simplify]: Simplify (+ 0 0) into 0
10.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.179 * [backup-simplify]: Simplify (- 0) into 0
10.179 * [backup-simplify]: Simplify (+ 0 0) into 0
10.179 * [taylor]: Taking taylor expansion of 0 in im
10.179 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.180 * [backup-simplify]: Simplify 0 into 0
10.180 * [backup-simplify]: Simplify 0 into 0
10.180 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.180 * [backup-simplify]: Simplify (- (* (* (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))
10.180 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
10.180 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
10.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.181 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.181 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.181 * [taylor]: Taking taylor expansion of re in im
10.181 * [backup-simplify]: Simplify re into re
10.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.181 * [taylor]: Taking taylor expansion of re in im
10.181 * [backup-simplify]: Simplify re into re
10.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.181 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.181 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.181 * [taylor]: Taking taylor expansion of im in im
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify 1 into 1
10.181 * [backup-simplify]: Simplify (/ 1 1) into 1
10.181 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.181 * [taylor]: Taking taylor expansion of im in im
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify 1 into 1
10.181 * [backup-simplify]: Simplify (/ 1 1) into 1
10.182 * [backup-simplify]: Simplify (* 1 1) into 1
10.182 * [backup-simplify]: Simplify (+ 0 1) into 1
10.182 * [backup-simplify]: Simplify (sqrt 1) into 1
10.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.184 * [backup-simplify]: Simplify (+ 0 0) into 0
10.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.184 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.184 * [taylor]: Taking taylor expansion of re in im
10.184 * [backup-simplify]: Simplify re into re
10.184 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.184 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.184 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.184 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.184 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.184 * [taylor]: Taking taylor expansion of re in re
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify 1 into 1
10.185 * [backup-simplify]: Simplify (/ 1 1) into 1
10.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.185 * [taylor]: Taking taylor expansion of re in re
10.185 * [backup-simplify]: Simplify 0 into 0
10.185 * [backup-simplify]: Simplify 1 into 1
10.185 * [backup-simplify]: Simplify (/ 1 1) into 1
10.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.185 * [taylor]: Taking taylor expansion of im in re
10.185 * [backup-simplify]: Simplify im into im
10.185 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.185 * [taylor]: Taking taylor expansion of im in re
10.185 * [backup-simplify]: Simplify im into im
10.185 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.185 * [backup-simplify]: Simplify (* 1 1) into 1
10.186 * [backup-simplify]: Simplify (+ 1 0) into 1
10.186 * [backup-simplify]: Simplify (sqrt 1) into 1
10.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.187 * [backup-simplify]: Simplify (+ 0 0) into 0
10.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.188 * [taylor]: Taking taylor expansion of re in re
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 1 into 1
10.188 * [backup-simplify]: Simplify (/ 1 1) into 1
10.188 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.188 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.188 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.188 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.188 * [taylor]: Taking taylor expansion of re in re
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 1 into 1
10.189 * [backup-simplify]: Simplify (/ 1 1) into 1
10.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.189 * [taylor]: Taking taylor expansion of re in re
10.189 * [backup-simplify]: Simplify 0 into 0
10.189 * [backup-simplify]: Simplify 1 into 1
10.189 * [backup-simplify]: Simplify (/ 1 1) into 1
10.189 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.189 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.189 * [taylor]: Taking taylor expansion of im in re
10.189 * [backup-simplify]: Simplify im into im
10.189 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.189 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.189 * [taylor]: Taking taylor expansion of im in re
10.189 * [backup-simplify]: Simplify im into im
10.189 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.189 * [backup-simplify]: Simplify (* 1 1) into 1
10.190 * [backup-simplify]: Simplify (+ 1 0) into 1
10.190 * [backup-simplify]: Simplify (sqrt 1) into 1
10.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.191 * [backup-simplify]: Simplify (+ 0 0) into 0
10.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.192 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.192 * [taylor]: Taking taylor expansion of re in re
10.192 * [backup-simplify]: Simplify 0 into 0
10.192 * [backup-simplify]: Simplify 1 into 1
10.192 * [backup-simplify]: Simplify (/ 1 1) into 1
10.192 * [backup-simplify]: Simplify (- 1) into -1
10.193 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.193 * [taylor]: Taking taylor expansion of 0 in im
10.193 * [backup-simplify]: Simplify 0 into 0
10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.193 * [backup-simplify]: Simplify (- 0) into 0
10.194 * [backup-simplify]: Simplify (+ 0 0) into 0
10.194 * [taylor]: Taking taylor expansion of 0 in im
10.194 * [backup-simplify]: Simplify 0 into 0
10.194 * [backup-simplify]: Simplify 0 into 0
10.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.195 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.198 * [backup-simplify]: Simplify (- 0) into 0
10.199 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.199 * [taylor]: Taking taylor expansion of 1/2 in im
10.199 * [backup-simplify]: Simplify 1/2 into 1/2
10.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.199 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.199 * [taylor]: Taking taylor expansion of im in im
10.199 * [backup-simplify]: Simplify 0 into 0
10.199 * [backup-simplify]: Simplify 1 into 1
10.199 * [backup-simplify]: Simplify (* 1 1) into 1
10.200 * [backup-simplify]: Simplify (/ 1 1) into 1
10.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.202 * [backup-simplify]: Simplify 0 into 0
10.202 * [backup-simplify]: Simplify 0 into 0
10.202 * [backup-simplify]: Simplify 0 into 0
10.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.205 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.206 * [backup-simplify]: Simplify (+ 0 0) into 0
10.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.208 * [backup-simplify]: Simplify (- 0) into 0
10.208 * [backup-simplify]: Simplify (+ 0 0) into 0
10.208 * [taylor]: Taking taylor expansion of 0 in im
10.208 * [backup-simplify]: Simplify 0 into 0
10.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.212 * [backup-simplify]: Simplify (- (* (* (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))
10.212 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
10.212 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
10.212 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.212 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.212 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.212 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.212 * [taylor]: Taking taylor expansion of -1 in im
10.212 * [backup-simplify]: Simplify -1 into -1
10.212 * [taylor]: Taking taylor expansion of re in im
10.212 * [backup-simplify]: Simplify re into re
10.212 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.213 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.213 * [taylor]: Taking taylor expansion of -1 in im
10.213 * [backup-simplify]: Simplify -1 into -1
10.213 * [taylor]: Taking taylor expansion of re in im
10.213 * [backup-simplify]: Simplify re into re
10.213 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.213 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.213 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.213 * [taylor]: Taking taylor expansion of -1 in im
10.213 * [backup-simplify]: Simplify -1 into -1
10.213 * [taylor]: Taking taylor expansion of im in im
10.213 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify 1 into 1
10.213 * [backup-simplify]: Simplify (/ -1 1) into -1
10.213 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.213 * [taylor]: Taking taylor expansion of -1 in im
10.213 * [backup-simplify]: Simplify -1 into -1
10.213 * [taylor]: Taking taylor expansion of im in im
10.213 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify 1 into 1
10.214 * [backup-simplify]: Simplify (/ -1 1) into -1
10.214 * [backup-simplify]: Simplify (* -1 -1) into 1
10.215 * [backup-simplify]: Simplify (+ 0 1) into 1
10.215 * [backup-simplify]: Simplify (sqrt 1) into 1
10.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.218 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.218 * [backup-simplify]: Simplify (+ 0 0) into 0
10.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.219 * [taylor]: Taking taylor expansion of re in im
10.219 * [backup-simplify]: Simplify re into re
10.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.219 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.219 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.219 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.219 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.219 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.219 * [taylor]: Taking taylor expansion of -1 in re
10.219 * [backup-simplify]: Simplify -1 into -1
10.219 * [taylor]: Taking taylor expansion of re in re
10.219 * [backup-simplify]: Simplify 0 into 0
10.219 * [backup-simplify]: Simplify 1 into 1
10.220 * [backup-simplify]: Simplify (/ -1 1) into -1
10.220 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.220 * [taylor]: Taking taylor expansion of -1 in re
10.220 * [backup-simplify]: Simplify -1 into -1
10.220 * [taylor]: Taking taylor expansion of re in re
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 1 into 1
10.220 * [backup-simplify]: Simplify (/ -1 1) into -1
10.221 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.221 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.221 * [taylor]: Taking taylor expansion of -1 in re
10.221 * [backup-simplify]: Simplify -1 into -1
10.221 * [taylor]: Taking taylor expansion of im in re
10.221 * [backup-simplify]: Simplify im into im
10.221 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.221 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.221 * [taylor]: Taking taylor expansion of -1 in re
10.221 * [backup-simplify]: Simplify -1 into -1
10.221 * [taylor]: Taking taylor expansion of im in re
10.221 * [backup-simplify]: Simplify im into im
10.221 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.221 * [backup-simplify]: Simplify (* -1 -1) into 1
10.222 * [backup-simplify]: Simplify (+ 1 0) into 1
10.222 * [backup-simplify]: Simplify (sqrt 1) into 1
10.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.225 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.225 * [backup-simplify]: Simplify (+ 0 0) into 0
10.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.226 * [taylor]: Taking taylor expansion of re in re
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 1 into 1
10.226 * [backup-simplify]: Simplify (/ 1 1) into 1
10.226 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.227 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.227 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.227 * [taylor]: Taking taylor expansion of -1 in re
10.227 * [backup-simplify]: Simplify -1 into -1
10.227 * [taylor]: Taking taylor expansion of re in re
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (/ -1 1) into -1
10.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.227 * [taylor]: Taking taylor expansion of -1 in re
10.227 * [backup-simplify]: Simplify -1 into -1
10.227 * [taylor]: Taking taylor expansion of re in re
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.228 * [backup-simplify]: Simplify (/ -1 1) into -1
10.228 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.228 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.228 * [taylor]: Taking taylor expansion of -1 in re
10.228 * [backup-simplify]: Simplify -1 into -1
10.228 * [taylor]: Taking taylor expansion of im in re
10.228 * [backup-simplify]: Simplify im into im
10.228 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.228 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.228 * [taylor]: Taking taylor expansion of -1 in re
10.228 * [backup-simplify]: Simplify -1 into -1
10.228 * [taylor]: Taking taylor expansion of im in re
10.228 * [backup-simplify]: Simplify im into im
10.228 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.229 * [backup-simplify]: Simplify (* -1 -1) into 1
10.229 * [backup-simplify]: Simplify (+ 1 0) into 1
10.229 * [backup-simplify]: Simplify (sqrt 1) into 1
10.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.232 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.232 * [backup-simplify]: Simplify (+ 0 0) into 0
10.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.233 * [taylor]: Taking taylor expansion of re in re
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 1 into 1
10.233 * [backup-simplify]: Simplify (/ 1 1) into 1
10.233 * [backup-simplify]: Simplify (+ 1 1) into 2
10.233 * [taylor]: Taking taylor expansion of 2 in im
10.233 * [backup-simplify]: Simplify 2 into 2
10.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.234 * [backup-simplify]: Simplify (+ 0 0) into 0
10.234 * [taylor]: Taking taylor expansion of 0 in im
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 2 into 2
10.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.236 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.236 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.236 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.237 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.238 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.238 * [taylor]: Taking taylor expansion of 1/2 in im
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.238 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.238 * [taylor]: Taking taylor expansion of im in im
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 1 into 1
10.238 * [backup-simplify]: Simplify (* 1 1) into 1
10.238 * [backup-simplify]: Simplify (/ 1 1) into 1
10.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.241 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.242 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.242 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.242 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.242 * [backup-simplify]: Simplify (+ 0 0) into 0
10.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.244 * [backup-simplify]: Simplify (+ 0 0) into 0
10.244 * [taylor]: Taking taylor expansion of 0 in im
10.244 * [backup-simplify]: Simplify 0 into 0
10.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.245 * [backup-simplify]: Simplify 0 into 0
10.245 * [backup-simplify]: Simplify 0 into 0
10.245 * [backup-simplify]: Simplify 0 into 0
10.246 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
10.246 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1)
10.246 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
10.246 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
10.246 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
10.246 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.246 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.246 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.246 * [taylor]: Taking taylor expansion of (* re re) in im
10.246 * [taylor]: Taking taylor expansion of re in im
10.246 * [backup-simplify]: Simplify re into re
10.246 * [taylor]: Taking taylor expansion of re in im
10.246 * [backup-simplify]: Simplify re into re
10.246 * [taylor]: Taking taylor expansion of (* im im) in im
10.246 * [taylor]: Taking taylor expansion of im in im
10.246 * [backup-simplify]: Simplify 0 into 0
10.246 * [backup-simplify]: Simplify 1 into 1
10.246 * [taylor]: Taking taylor expansion of im in im
10.246 * [backup-simplify]: Simplify 0 into 0
10.246 * [backup-simplify]: Simplify 1 into 1
10.246 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.246 * [backup-simplify]: Simplify (* 0 0) into 0
10.247 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.247 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.247 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.247 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.247 * [backup-simplify]: Simplify (+ 0 0) into 0
10.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.248 * [taylor]: Taking taylor expansion of re in im
10.248 * [backup-simplify]: Simplify re into re
10.248 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
10.248 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.248 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.248 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.248 * [taylor]: Taking taylor expansion of (* re re) in re
10.248 * [taylor]: Taking taylor expansion of re in re
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 1 into 1
10.248 * [taylor]: Taking taylor expansion of re in re
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 1 into 1
10.248 * [taylor]: Taking taylor expansion of (* im im) in re
10.248 * [taylor]: Taking taylor expansion of im in re
10.248 * [backup-simplify]: Simplify im into im
10.248 * [taylor]: Taking taylor expansion of im in re
10.248 * [backup-simplify]: Simplify im into im
10.248 * [backup-simplify]: Simplify (* 0 0) into 0
10.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.248 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.249 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.249 * [backup-simplify]: Simplify (+ 0 0) into 0
10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.249 * [taylor]: Taking taylor expansion of re in re
10.249 * [backup-simplify]: Simplify 0 into 0
10.249 * [backup-simplify]: Simplify 1 into 1
10.249 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
10.249 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.249 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.249 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.250 * [taylor]: Taking taylor expansion of (* re re) in re
10.250 * [taylor]: Taking taylor expansion of re in re
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 1 into 1
10.250 * [taylor]: Taking taylor expansion of re in re
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 1 into 1
10.250 * [taylor]: Taking taylor expansion of (* im im) in re
10.250 * [taylor]: Taking taylor expansion of im in re
10.250 * [backup-simplify]: Simplify im into im
10.250 * [taylor]: Taking taylor expansion of im in re
10.250 * [backup-simplify]: Simplify im into im
10.250 * [backup-simplify]: Simplify (* 0 0) into 0
10.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.251 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.251 * [backup-simplify]: Simplify (+ 0 0) into 0
10.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.251 * [taylor]: Taking taylor expansion of re in re
10.251 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify 1 into 1
10.251 * [backup-simplify]: Simplify (- 0) into 0
10.251 * [backup-simplify]: Simplify (+ im 0) into im
10.251 * [taylor]: Taking taylor expansion of im in im
10.251 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify 1 into 1
10.251 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify (- 1) into -1
10.252 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.252 * [taylor]: Taking taylor expansion of -1 in im
10.252 * [backup-simplify]: Simplify -1 into -1
10.252 * [backup-simplify]: Simplify -1 into -1
10.252 * [backup-simplify]: Simplify 1 into 1
10.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.253 * [backup-simplify]: Simplify (+ 1 0) into 1
10.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.254 * [backup-simplify]: Simplify (- 0) into 0
10.254 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
10.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.254 * [taylor]: Taking taylor expansion of 1/2 in im
10.254 * [backup-simplify]: Simplify 1/2 into 1/2
10.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.254 * [taylor]: Taking taylor expansion of im in im
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify 1 into 1
10.254 * [backup-simplify]: Simplify (/ 1 1) into 1
10.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 0 into 0
10.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.257 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.257 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.258 * [backup-simplify]: Simplify (- 0) into 0
10.258 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [taylor]: Taking taylor expansion of 0 in im
10.258 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.263 * [backup-simplify]: Simplify 0 into 0
10.263 * [backup-simplify]: Simplify 0 into 0
10.263 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.264 * [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))
10.264 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
10.264 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
10.264 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.264 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.264 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.264 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.264 * [taylor]: Taking taylor expansion of re in im
10.264 * [backup-simplify]: Simplify re into re
10.264 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.264 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.264 * [taylor]: Taking taylor expansion of re in im
10.264 * [backup-simplify]: Simplify re into re
10.264 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.264 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.264 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.264 * [taylor]: Taking taylor expansion of im in im
10.264 * [backup-simplify]: Simplify 0 into 0
10.264 * [backup-simplify]: Simplify 1 into 1
10.265 * [backup-simplify]: Simplify (/ 1 1) into 1
10.265 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.265 * [taylor]: Taking taylor expansion of im in im
10.265 * [backup-simplify]: Simplify 0 into 0
10.265 * [backup-simplify]: Simplify 1 into 1
10.266 * [backup-simplify]: Simplify (/ 1 1) into 1
10.266 * [backup-simplify]: Simplify (* 1 1) into 1
10.266 * [backup-simplify]: Simplify (+ 0 1) into 1
10.267 * [backup-simplify]: Simplify (sqrt 1) into 1
10.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.269 * [backup-simplify]: Simplify (+ 0 0) into 0
10.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.270 * [taylor]: Taking taylor expansion of re in im
10.270 * [backup-simplify]: Simplify re into re
10.270 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.270 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.271 * [taylor]: Taking taylor expansion of re in re
10.271 * [backup-simplify]: Simplify 0 into 0
10.271 * [backup-simplify]: Simplify 1 into 1
10.271 * [backup-simplify]: Simplify (/ 1 1) into 1
10.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.271 * [taylor]: Taking taylor expansion of re in re
10.271 * [backup-simplify]: Simplify 0 into 0
10.271 * [backup-simplify]: Simplify 1 into 1
10.272 * [backup-simplify]: Simplify (/ 1 1) into 1
10.272 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.272 * [taylor]: Taking taylor expansion of im in re
10.272 * [backup-simplify]: Simplify im into im
10.272 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.272 * [taylor]: Taking taylor expansion of im in re
10.272 * [backup-simplify]: Simplify im into im
10.272 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.272 * [backup-simplify]: Simplify (* 1 1) into 1
10.273 * [backup-simplify]: Simplify (+ 1 0) into 1
10.273 * [backup-simplify]: Simplify (sqrt 1) into 1
10.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.276 * [backup-simplify]: Simplify (+ 0 0) into 0
10.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.277 * [taylor]: Taking taylor expansion of re in re
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify 1 into 1
10.277 * [backup-simplify]: Simplify (/ 1 1) into 1
10.277 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.277 * [taylor]: Taking taylor expansion of re in re
10.277 * [backup-simplify]: Simplify 0 into 0
10.278 * [backup-simplify]: Simplify 1 into 1
10.278 * [backup-simplify]: Simplify (/ 1 1) into 1
10.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.278 * [taylor]: Taking taylor expansion of re in re
10.278 * [backup-simplify]: Simplify 0 into 0
10.278 * [backup-simplify]: Simplify 1 into 1
10.278 * [backup-simplify]: Simplify (/ 1 1) into 1
10.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.278 * [taylor]: Taking taylor expansion of im in re
10.278 * [backup-simplify]: Simplify im into im
10.279 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.279 * [taylor]: Taking taylor expansion of im in re
10.279 * [backup-simplify]: Simplify im into im
10.279 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.279 * [backup-simplify]: Simplify (* 1 1) into 1
10.279 * [backup-simplify]: Simplify (+ 1 0) into 1
10.280 * [backup-simplify]: Simplify (sqrt 1) into 1
10.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.282 * [backup-simplify]: Simplify (+ 0 0) into 0
10.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.283 * [taylor]: Taking taylor expansion of re in re
10.283 * [backup-simplify]: Simplify 0 into 0
10.283 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (/ 1 1) into 1
10.284 * [backup-simplify]: Simplify (- 1) into -1
10.285 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.285 * [taylor]: Taking taylor expansion of 0 in im
10.285 * [backup-simplify]: Simplify 0 into 0
10.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.286 * [backup-simplify]: Simplify (- 0) into 0
10.286 * [backup-simplify]: Simplify (+ 0 0) into 0
10.286 * [taylor]: Taking taylor expansion of 0 in im
10.286 * [backup-simplify]: Simplify 0 into 0
10.286 * [backup-simplify]: Simplify 0 into 0
10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.289 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.291 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.292 * [backup-simplify]: Simplify (- 0) into 0
10.292 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.292 * [taylor]: Taking taylor expansion of 1/2 in im
10.292 * [backup-simplify]: Simplify 1/2 into 1/2
10.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.292 * [taylor]: Taking taylor expansion of im in im
10.292 * [backup-simplify]: Simplify 0 into 0
10.293 * [backup-simplify]: Simplify 1 into 1
10.293 * [backup-simplify]: Simplify (* 1 1) into 1
10.293 * [backup-simplify]: Simplify (/ 1 1) into 1
10.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.298 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.298 * [backup-simplify]: Simplify (+ 0 0) into 0
10.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.299 * [backup-simplify]: Simplify (- 0) into 0
10.299 * [backup-simplify]: Simplify (+ 0 0) into 0
10.299 * [taylor]: Taking taylor expansion of 0 in im
10.299 * [backup-simplify]: Simplify 0 into 0
10.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.301 * [backup-simplify]: Simplify 0 into 0
10.301 * [backup-simplify]: Simplify 0 into 0
10.301 * [backup-simplify]: Simplify 0 into 0
10.301 * [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))
10.301 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
10.301 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
10.301 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.301 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.301 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.301 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.301 * [taylor]: Taking taylor expansion of -1 in im
10.301 * [backup-simplify]: Simplify -1 into -1
10.301 * [taylor]: Taking taylor expansion of re in im
10.301 * [backup-simplify]: Simplify re into re
10.302 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.302 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.302 * [taylor]: Taking taylor expansion of -1 in im
10.302 * [backup-simplify]: Simplify -1 into -1
10.302 * [taylor]: Taking taylor expansion of re in im
10.302 * [backup-simplify]: Simplify re into re
10.302 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.302 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.302 * [taylor]: Taking taylor expansion of -1 in im
10.302 * [backup-simplify]: Simplify -1 into -1
10.302 * [taylor]: Taking taylor expansion of im in im
10.302 * [backup-simplify]: Simplify 0 into 0
10.302 * [backup-simplify]: Simplify 1 into 1
10.302 * [backup-simplify]: Simplify (/ -1 1) into -1
10.302 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.302 * [taylor]: Taking taylor expansion of -1 in im
10.302 * [backup-simplify]: Simplify -1 into -1
10.302 * [taylor]: Taking taylor expansion of im in im
10.302 * [backup-simplify]: Simplify 0 into 0
10.302 * [backup-simplify]: Simplify 1 into 1
10.302 * [backup-simplify]: Simplify (/ -1 1) into -1
10.303 * [backup-simplify]: Simplify (* -1 -1) into 1
10.303 * [backup-simplify]: Simplify (+ 0 1) into 1
10.303 * [backup-simplify]: Simplify (sqrt 1) into 1
10.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.305 * [backup-simplify]: Simplify (+ 0 0) into 0
10.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.305 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.305 * [taylor]: Taking taylor expansion of re in im
10.305 * [backup-simplify]: Simplify re into re
10.305 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.305 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.305 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.305 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.305 * [taylor]: Taking taylor expansion of -1 in re
10.305 * [backup-simplify]: Simplify -1 into -1
10.306 * [taylor]: Taking taylor expansion of re in re
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 1 into 1
10.306 * [backup-simplify]: Simplify (/ -1 1) into -1
10.306 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.306 * [taylor]: Taking taylor expansion of -1 in re
10.306 * [backup-simplify]: Simplify -1 into -1
10.306 * [taylor]: Taking taylor expansion of re in re
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 1 into 1
10.306 * [backup-simplify]: Simplify (/ -1 1) into -1
10.306 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.307 * [taylor]: Taking taylor expansion of -1 in re
10.307 * [backup-simplify]: Simplify -1 into -1
10.307 * [taylor]: Taking taylor expansion of im in re
10.307 * [backup-simplify]: Simplify im into im
10.307 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.307 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.307 * [taylor]: Taking taylor expansion of -1 in re
10.307 * [backup-simplify]: Simplify -1 into -1
10.307 * [taylor]: Taking taylor expansion of im in re
10.307 * [backup-simplify]: Simplify im into im
10.307 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.307 * [backup-simplify]: Simplify (* -1 -1) into 1
10.307 * [backup-simplify]: Simplify (+ 1 0) into 1
10.307 * [backup-simplify]: Simplify (sqrt 1) into 1
10.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.309 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.309 * [backup-simplify]: Simplify (+ 0 0) into 0
10.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.310 * [taylor]: Taking taylor expansion of re in re
10.310 * [backup-simplify]: Simplify 0 into 0
10.310 * [backup-simplify]: Simplify 1 into 1
10.310 * [backup-simplify]: Simplify (/ 1 1) into 1
10.310 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.310 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.310 * [taylor]: Taking taylor expansion of -1 in re
10.310 * [backup-simplify]: Simplify -1 into -1
10.310 * [taylor]: Taking taylor expansion of re in re
10.310 * [backup-simplify]: Simplify 0 into 0
10.310 * [backup-simplify]: Simplify 1 into 1
10.310 * [backup-simplify]: Simplify (/ -1 1) into -1
10.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.310 * [taylor]: Taking taylor expansion of -1 in re
10.310 * [backup-simplify]: Simplify -1 into -1
10.311 * [taylor]: Taking taylor expansion of re in re
10.311 * [backup-simplify]: Simplify 0 into 0
10.311 * [backup-simplify]: Simplify 1 into 1
10.311 * [backup-simplify]: Simplify (/ -1 1) into -1
10.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.311 * [taylor]: Taking taylor expansion of -1 in re
10.311 * [backup-simplify]: Simplify -1 into -1
10.311 * [taylor]: Taking taylor expansion of im in re
10.311 * [backup-simplify]: Simplify im into im
10.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.311 * [taylor]: Taking taylor expansion of -1 in re
10.311 * [backup-simplify]: Simplify -1 into -1
10.311 * [taylor]: Taking taylor expansion of im in re
10.311 * [backup-simplify]: Simplify im into im
10.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.311 * [backup-simplify]: Simplify (* -1 -1) into 1
10.312 * [backup-simplify]: Simplify (+ 1 0) into 1
10.312 * [backup-simplify]: Simplify (sqrt 1) into 1
10.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.314 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.314 * [backup-simplify]: Simplify (+ 0 0) into 0
10.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.314 * [taylor]: Taking taylor expansion of re in re
10.314 * [backup-simplify]: Simplify 0 into 0
10.314 * [backup-simplify]: Simplify 1 into 1
10.315 * [backup-simplify]: Simplify (/ 1 1) into 1
10.315 * [backup-simplify]: Simplify (+ 1 1) into 2
10.315 * [taylor]: Taking taylor expansion of 2 in im
10.315 * [backup-simplify]: Simplify 2 into 2
10.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.316 * [backup-simplify]: Simplify (+ 0 0) into 0
10.316 * [taylor]: Taking taylor expansion of 0 in im
10.316 * [backup-simplify]: Simplify 0 into 0
10.316 * [backup-simplify]: Simplify 2 into 2
10.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.318 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.319 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.319 * [taylor]: Taking taylor expansion of 1/2 in im
10.319 * [backup-simplify]: Simplify 1/2 into 1/2
10.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.319 * [taylor]: Taking taylor expansion of im in im
10.319 * [backup-simplify]: Simplify 0 into 0
10.319 * [backup-simplify]: Simplify 1 into 1
10.320 * [backup-simplify]: Simplify (* 1 1) into 1
10.320 * [backup-simplify]: Simplify (/ 1 1) into 1
10.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.321 * [backup-simplify]: Simplify 0 into 0
10.321 * [backup-simplify]: Simplify 0 into 0
10.321 * [backup-simplify]: Simplify 0 into 0
10.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.323 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.323 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.323 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.324 * [backup-simplify]: Simplify (+ 0 0) into 0
10.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.325 * [backup-simplify]: Simplify (+ 0 0) into 0
10.325 * [taylor]: Taking taylor expansion of 0 in im
10.325 * [backup-simplify]: Simplify 0 into 0
10.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
10.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1)
10.327 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
10.327 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
10.327 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
10.327 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.327 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.327 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.327 * [taylor]: Taking taylor expansion of (* re re) in im
10.327 * [taylor]: Taking taylor expansion of re in im
10.327 * [backup-simplify]: Simplify re into re
10.327 * [taylor]: Taking taylor expansion of re in im
10.327 * [backup-simplify]: Simplify re into re
10.327 * [taylor]: Taking taylor expansion of (* im im) in im
10.327 * [taylor]: Taking taylor expansion of im in im
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify 1 into 1
10.327 * [taylor]: Taking taylor expansion of im in im
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify 1 into 1
10.327 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.328 * [backup-simplify]: Simplify (* 0 0) into 0
10.328 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.328 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.328 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.328 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.328 * [backup-simplify]: Simplify (+ 0 0) into 0
10.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.329 * [taylor]: Taking taylor expansion of re in im
10.329 * [backup-simplify]: Simplify re into re
10.329 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
10.329 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.329 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.329 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.329 * [taylor]: Taking taylor expansion of (* re re) in re
10.329 * [taylor]: Taking taylor expansion of re in re
10.329 * [backup-simplify]: Simplify 0 into 0
10.329 * [backup-simplify]: Simplify 1 into 1
10.329 * [taylor]: Taking taylor expansion of re in re
10.329 * [backup-simplify]: Simplify 0 into 0
10.329 * [backup-simplify]: Simplify 1 into 1
10.329 * [taylor]: Taking taylor expansion of (* im im) in re
10.329 * [taylor]: Taking taylor expansion of im in re
10.329 * [backup-simplify]: Simplify im into im
10.329 * [taylor]: Taking taylor expansion of im in re
10.329 * [backup-simplify]: Simplify im into im
10.329 * [backup-simplify]: Simplify (* 0 0) into 0
10.329 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.329 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.330 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.330 * [backup-simplify]: Simplify (+ 0 0) into 0
10.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.330 * [taylor]: Taking taylor expansion of re in re
10.330 * [backup-simplify]: Simplify 0 into 0
10.330 * [backup-simplify]: Simplify 1 into 1
10.330 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
10.330 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.330 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.330 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.330 * [taylor]: Taking taylor expansion of (* re re) in re
10.330 * [taylor]: Taking taylor expansion of re in re
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify 1 into 1
10.331 * [taylor]: Taking taylor expansion of re in re
10.331 * [backup-simplify]: Simplify 0 into 0
10.331 * [backup-simplify]: Simplify 1 into 1
10.331 * [taylor]: Taking taylor expansion of (* im im) in re
10.331 * [taylor]: Taking taylor expansion of im in re
10.331 * [backup-simplify]: Simplify im into im
10.331 * [taylor]: Taking taylor expansion of im in re
10.331 * [backup-simplify]: Simplify im into im
10.331 * [backup-simplify]: Simplify (* 0 0) into 0
10.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.331 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.331 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.332 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.332 * [backup-simplify]: Simplify (+ 0 0) into 0
10.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.332 * [taylor]: Taking taylor expansion of re in re
10.332 * [backup-simplify]: Simplify 0 into 0
10.332 * [backup-simplify]: Simplify 1 into 1
10.332 * [backup-simplify]: Simplify (- 0) into 0
10.332 * [backup-simplify]: Simplify (+ im 0) into im
10.332 * [taylor]: Taking taylor expansion of im in im
10.332 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 1 into 1
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify (- 1) into -1
10.333 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.333 * [taylor]: Taking taylor expansion of -1 in im
10.333 * [backup-simplify]: Simplify -1 into -1
10.333 * [backup-simplify]: Simplify -1 into -1
10.333 * [backup-simplify]: Simplify 1 into 1
10.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.334 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.334 * [backup-simplify]: Simplify (+ 1 0) into 1
10.335 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.335 * [backup-simplify]: Simplify (- 0) into 0
10.335 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
10.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.335 * [taylor]: Taking taylor expansion of 1/2 in im
10.335 * [backup-simplify]: Simplify 1/2 into 1/2
10.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.335 * [taylor]: Taking taylor expansion of im in im
10.335 * [backup-simplify]: Simplify 0 into 0
10.335 * [backup-simplify]: Simplify 1 into 1
10.335 * [backup-simplify]: Simplify (/ 1 1) into 1
10.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.337 * [backup-simplify]: Simplify 0 into 0
10.337 * [backup-simplify]: Simplify 0 into 0
10.337 * [backup-simplify]: Simplify 0 into 0
10.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.338 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.338 * [backup-simplify]: Simplify (+ 0 0) into 0
10.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.339 * [backup-simplify]: Simplify (- 0) into 0
10.339 * [backup-simplify]: Simplify (+ 0 0) into 0
10.339 * [taylor]: Taking taylor expansion of 0 in im
10.339 * [backup-simplify]: Simplify 0 into 0
10.339 * [backup-simplify]: Simplify 0 into 0
10.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.340 * [backup-simplify]: Simplify 0 into 0
10.340 * [backup-simplify]: Simplify 0 into 0
10.340 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.340 * [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))
10.340 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
10.340 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
10.340 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.341 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.341 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.341 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.341 * [taylor]: Taking taylor expansion of re in im
10.341 * [backup-simplify]: Simplify re into re
10.341 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.341 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.341 * [taylor]: Taking taylor expansion of re in im
10.341 * [backup-simplify]: Simplify re into re
10.341 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.341 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.341 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.341 * [taylor]: Taking taylor expansion of im in im
10.341 * [backup-simplify]: Simplify 0 into 0
10.341 * [backup-simplify]: Simplify 1 into 1
10.341 * [backup-simplify]: Simplify (/ 1 1) into 1
10.341 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.341 * [taylor]: Taking taylor expansion of im in im
10.341 * [backup-simplify]: Simplify 0 into 0
10.341 * [backup-simplify]: Simplify 1 into 1
10.341 * [backup-simplify]: Simplify (/ 1 1) into 1
10.342 * [backup-simplify]: Simplify (* 1 1) into 1
10.342 * [backup-simplify]: Simplify (+ 0 1) into 1
10.342 * [backup-simplify]: Simplify (sqrt 1) into 1
10.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.344 * [backup-simplify]: Simplify (+ 0 0) into 0
10.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.344 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.344 * [taylor]: Taking taylor expansion of re in im
10.344 * [backup-simplify]: Simplify re into re
10.344 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.344 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.344 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.344 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.344 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.344 * [taylor]: Taking taylor expansion of re in re
10.344 * [backup-simplify]: Simplify 0 into 0
10.344 * [backup-simplify]: Simplify 1 into 1
10.345 * [backup-simplify]: Simplify (/ 1 1) into 1
10.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.345 * [taylor]: Taking taylor expansion of re in re
10.345 * [backup-simplify]: Simplify 0 into 0
10.345 * [backup-simplify]: Simplify 1 into 1
10.345 * [backup-simplify]: Simplify (/ 1 1) into 1
10.345 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.345 * [taylor]: Taking taylor expansion of im in re
10.345 * [backup-simplify]: Simplify im into im
10.345 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.345 * [taylor]: Taking taylor expansion of im in re
10.345 * [backup-simplify]: Simplify im into im
10.345 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.345 * [backup-simplify]: Simplify (* 1 1) into 1
10.346 * [backup-simplify]: Simplify (+ 1 0) into 1
10.346 * [backup-simplify]: Simplify (sqrt 1) into 1
10.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.347 * [backup-simplify]: Simplify (+ 0 0) into 0
10.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.348 * [taylor]: Taking taylor expansion of re in re
10.348 * [backup-simplify]: Simplify 0 into 0
10.348 * [backup-simplify]: Simplify 1 into 1
10.348 * [backup-simplify]: Simplify (/ 1 1) into 1
10.348 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.348 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.348 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.348 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.348 * [taylor]: Taking taylor expansion of re in re
10.348 * [backup-simplify]: Simplify 0 into 0
10.348 * [backup-simplify]: Simplify 1 into 1
10.349 * [backup-simplify]: Simplify (/ 1 1) into 1
10.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.349 * [taylor]: Taking taylor expansion of re in re
10.349 * [backup-simplify]: Simplify 0 into 0
10.349 * [backup-simplify]: Simplify 1 into 1
10.349 * [backup-simplify]: Simplify (/ 1 1) into 1
10.349 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.349 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.349 * [taylor]: Taking taylor expansion of im in re
10.349 * [backup-simplify]: Simplify im into im
10.349 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.349 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.349 * [taylor]: Taking taylor expansion of im in re
10.349 * [backup-simplify]: Simplify im into im
10.349 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.349 * [backup-simplify]: Simplify (* 1 1) into 1
10.350 * [backup-simplify]: Simplify (+ 1 0) into 1
10.350 * [backup-simplify]: Simplify (sqrt 1) into 1
10.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.351 * [backup-simplify]: Simplify (+ 0 0) into 0
10.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.352 * [taylor]: Taking taylor expansion of re in re
10.352 * [backup-simplify]: Simplify 0 into 0
10.352 * [backup-simplify]: Simplify 1 into 1
10.352 * [backup-simplify]: Simplify (/ 1 1) into 1
10.353 * [backup-simplify]: Simplify (- 1) into -1
10.353 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.353 * [taylor]: Taking taylor expansion of 0 in im
10.353 * [backup-simplify]: Simplify 0 into 0
10.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.353 * [backup-simplify]: Simplify (- 0) into 0
10.354 * [backup-simplify]: Simplify (+ 0 0) into 0
10.354 * [taylor]: Taking taylor expansion of 0 in im
10.354 * [backup-simplify]: Simplify 0 into 0
10.354 * [backup-simplify]: Simplify 0 into 0
10.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.355 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.356 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.357 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.358 * [backup-simplify]: Simplify (- 0) into 0
10.359 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.359 * [taylor]: Taking taylor expansion of 1/2 in im
10.359 * [backup-simplify]: Simplify 1/2 into 1/2
10.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.359 * [taylor]: Taking taylor expansion of im in im
10.359 * [backup-simplify]: Simplify 0 into 0
10.359 * [backup-simplify]: Simplify 1 into 1
10.359 * [backup-simplify]: Simplify (* 1 1) into 1
10.360 * [backup-simplify]: Simplify (/ 1 1) into 1
10.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.362 * [backup-simplify]: Simplify 0 into 0
10.362 * [backup-simplify]: Simplify 0 into 0
10.362 * [backup-simplify]: Simplify 0 into 0
10.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.365 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.366 * [backup-simplify]: Simplify (+ 0 0) into 0
10.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.368 * [backup-simplify]: Simplify (- 0) into 0
10.368 * [backup-simplify]: Simplify (+ 0 0) into 0
10.368 * [taylor]: Taking taylor expansion of 0 in im
10.368 * [backup-simplify]: Simplify 0 into 0
10.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.371 * [backup-simplify]: Simplify 0 into 0
10.371 * [backup-simplify]: Simplify 0 into 0
10.371 * [backup-simplify]: Simplify 0 into 0
10.372 * [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))
10.372 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
10.372 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
10.372 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.372 * [taylor]: Taking taylor expansion of -1 in im
10.372 * [backup-simplify]: Simplify -1 into -1
10.372 * [taylor]: Taking taylor expansion of re in im
10.372 * [backup-simplify]: Simplify re into re
10.372 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.372 * [taylor]: Taking taylor expansion of -1 in im
10.372 * [backup-simplify]: Simplify -1 into -1
10.372 * [taylor]: Taking taylor expansion of re in im
10.372 * [backup-simplify]: Simplify re into re
10.372 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.372 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.372 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.373 * [taylor]: Taking taylor expansion of -1 in im
10.373 * [backup-simplify]: Simplify -1 into -1
10.373 * [taylor]: Taking taylor expansion of im in im
10.373 * [backup-simplify]: Simplify 0 into 0
10.373 * [backup-simplify]: Simplify 1 into 1
10.373 * [backup-simplify]: Simplify (/ -1 1) into -1
10.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.373 * [taylor]: Taking taylor expansion of -1 in im
10.373 * [backup-simplify]: Simplify -1 into -1
10.373 * [taylor]: Taking taylor expansion of im in im
10.374 * [backup-simplify]: Simplify 0 into 0
10.374 * [backup-simplify]: Simplify 1 into 1
10.374 * [backup-simplify]: Simplify (/ -1 1) into -1
10.374 * [backup-simplify]: Simplify (* -1 -1) into 1
10.375 * [backup-simplify]: Simplify (+ 0 1) into 1
10.376 * [backup-simplify]: Simplify (sqrt 1) into 1
10.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.381 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.382 * [backup-simplify]: Simplify (+ 0 0) into 0
10.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.383 * [taylor]: Taking taylor expansion of re in im
10.383 * [backup-simplify]: Simplify re into re
10.383 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.383 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.383 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.383 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.383 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.383 * [taylor]: Taking taylor expansion of -1 in re
10.383 * [backup-simplify]: Simplify -1 into -1
10.383 * [taylor]: Taking taylor expansion of re in re
10.383 * [backup-simplify]: Simplify 0 into 0
10.383 * [backup-simplify]: Simplify 1 into 1
10.384 * [backup-simplify]: Simplify (/ -1 1) into -1
10.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.384 * [taylor]: Taking taylor expansion of -1 in re
10.384 * [backup-simplify]: Simplify -1 into -1
10.384 * [taylor]: Taking taylor expansion of re in re
10.384 * [backup-simplify]: Simplify 0 into 0
10.384 * [backup-simplify]: Simplify 1 into 1
10.384 * [backup-simplify]: Simplify (/ -1 1) into -1
10.384 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.384 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.384 * [taylor]: Taking taylor expansion of -1 in re
10.385 * [backup-simplify]: Simplify -1 into -1
10.385 * [taylor]: Taking taylor expansion of im in re
10.385 * [backup-simplify]: Simplify im into im
10.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.385 * [taylor]: Taking taylor expansion of -1 in re
10.385 * [backup-simplify]: Simplify -1 into -1
10.385 * [taylor]: Taking taylor expansion of im in re
10.385 * [backup-simplify]: Simplify im into im
10.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.385 * [backup-simplify]: Simplify (* -1 -1) into 1
10.386 * [backup-simplify]: Simplify (+ 1 0) into 1
10.386 * [backup-simplify]: Simplify (sqrt 1) into 1
10.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.389 * [backup-simplify]: Simplify (+ 0 0) into 0
10.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.390 * [taylor]: Taking taylor expansion of re in re
10.390 * [backup-simplify]: Simplify 0 into 0
10.390 * [backup-simplify]: Simplify 1 into 1
10.390 * [backup-simplify]: Simplify (/ 1 1) into 1
10.390 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.390 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.390 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.391 * [taylor]: Taking taylor expansion of -1 in re
10.391 * [backup-simplify]: Simplify -1 into -1
10.391 * [taylor]: Taking taylor expansion of re in re
10.391 * [backup-simplify]: Simplify 0 into 0
10.391 * [backup-simplify]: Simplify 1 into 1
10.391 * [backup-simplify]: Simplify (/ -1 1) into -1
10.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.391 * [taylor]: Taking taylor expansion of -1 in re
10.391 * [backup-simplify]: Simplify -1 into -1
10.391 * [taylor]: Taking taylor expansion of re in re
10.391 * [backup-simplify]: Simplify 0 into 0
10.391 * [backup-simplify]: Simplify 1 into 1
10.392 * [backup-simplify]: Simplify (/ -1 1) into -1
10.392 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.392 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of im in re
10.392 * [backup-simplify]: Simplify im into im
10.392 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.392 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.392 * [taylor]: Taking taylor expansion of -1 in re
10.392 * [backup-simplify]: Simplify -1 into -1
10.392 * [taylor]: Taking taylor expansion of im in re
10.392 * [backup-simplify]: Simplify im into im
10.392 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.393 * [backup-simplify]: Simplify (* -1 -1) into 1
10.393 * [backup-simplify]: Simplify (+ 1 0) into 1
10.393 * [backup-simplify]: Simplify (sqrt 1) into 1
10.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.396 * [backup-simplify]: Simplify (+ 0 0) into 0
10.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.397 * [taylor]: Taking taylor expansion of re in re
10.397 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify 1 into 1
10.398 * [backup-simplify]: Simplify (/ 1 1) into 1
10.398 * [backup-simplify]: Simplify (+ 1 1) into 2
10.398 * [taylor]: Taking taylor expansion of 2 in im
10.398 * [backup-simplify]: Simplify 2 into 2
10.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.399 * [backup-simplify]: Simplify (+ 0 0) into 0
10.399 * [taylor]: Taking taylor expansion of 0 in im
10.399 * [backup-simplify]: Simplify 0 into 0
10.399 * [backup-simplify]: Simplify 2 into 2
10.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.402 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.405 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.405 * [taylor]: Taking taylor expansion of 1/2 in im
10.405 * [backup-simplify]: Simplify 1/2 into 1/2
10.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.405 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.405 * [taylor]: Taking taylor expansion of im in im
10.405 * [backup-simplify]: Simplify 0 into 0
10.405 * [backup-simplify]: Simplify 1 into 1
10.406 * [backup-simplify]: Simplify (* 1 1) into 1
10.406 * [backup-simplify]: Simplify (/ 1 1) into 1
10.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.409 * [backup-simplify]: Simplify 0 into 0
10.409 * [backup-simplify]: Simplify 0 into 0
10.409 * [backup-simplify]: Simplify 0 into 0
10.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.412 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.412 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.413 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.413 * [backup-simplify]: Simplify (+ 0 0) into 0
10.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.415 * [backup-simplify]: Simplify (+ 0 0) into 0
10.415 * [taylor]: Taking taylor expansion of 0 in im
10.415 * [backup-simplify]: Simplify 0 into 0
10.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.418 * [backup-simplify]: Simplify 0 into 0
10.418 * [backup-simplify]: Simplify 0 into 0
10.418 * [backup-simplify]: Simplify 0 into 0
10.418 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
10.418 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1 2)
10.418 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
10.419 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
10.419 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
10.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
10.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
10.419 * [taylor]: Taking taylor expansion of 1/3 in im
10.419 * [backup-simplify]: Simplify 1/3 into 1/3
10.419 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
10.419 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.419 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.419 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.419 * [taylor]: Taking taylor expansion of (* re re) in im
10.419 * [taylor]: Taking taylor expansion of re in im
10.419 * [backup-simplify]: Simplify re into re
10.419 * [taylor]: Taking taylor expansion of re in im
10.419 * [backup-simplify]: Simplify re into re
10.419 * [taylor]: Taking taylor expansion of (* im im) in im
10.419 * [taylor]: Taking taylor expansion of im in im
10.419 * [backup-simplify]: Simplify 0 into 0
10.419 * [backup-simplify]: Simplify 1 into 1
10.419 * [taylor]: Taking taylor expansion of im in im
10.419 * [backup-simplify]: Simplify 0 into 0
10.419 * [backup-simplify]: Simplify 1 into 1
10.419 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.420 * [backup-simplify]: Simplify (* 0 0) into 0
10.420 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.420 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.420 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.421 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.421 * [backup-simplify]: Simplify (+ 0 0) into 0
10.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.421 * [backup-simplify]: Simplify (log re) into (log re)
10.421 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
10.422 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
10.422 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
10.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
10.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
10.422 * [taylor]: Taking taylor expansion of 1/3 in re
10.422 * [backup-simplify]: Simplify 1/3 into 1/3
10.422 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
10.422 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.422 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.422 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.422 * [taylor]: Taking taylor expansion of (* re re) in re
10.422 * [taylor]: Taking taylor expansion of re in re
10.422 * [backup-simplify]: Simplify 0 into 0
10.422 * [backup-simplify]: Simplify 1 into 1
10.422 * [taylor]: Taking taylor expansion of re in re
10.422 * [backup-simplify]: Simplify 0 into 0
10.422 * [backup-simplify]: Simplify 1 into 1
10.422 * [taylor]: Taking taylor expansion of (* im im) in re
10.422 * [taylor]: Taking taylor expansion of im in re
10.422 * [backup-simplify]: Simplify im into im
10.422 * [taylor]: Taking taylor expansion of im in re
10.422 * [backup-simplify]: Simplify im into im
10.423 * [backup-simplify]: Simplify (* 0 0) into 0
10.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.423 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.424 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.424 * [backup-simplify]: Simplify (+ 0 0) into 0
10.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.424 * [backup-simplify]: Simplify (log im) into (log im)
10.424 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
10.425 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
10.425 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
10.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
10.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
10.425 * [taylor]: Taking taylor expansion of 1/3 in re
10.425 * [backup-simplify]: Simplify 1/3 into 1/3
10.425 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
10.425 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.425 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.425 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.425 * [taylor]: Taking taylor expansion of (* re re) in re
10.425 * [taylor]: Taking taylor expansion of re in re
10.425 * [backup-simplify]: Simplify 0 into 0
10.425 * [backup-simplify]: Simplify 1 into 1
10.425 * [taylor]: Taking taylor expansion of re in re
10.425 * [backup-simplify]: Simplify 0 into 0
10.425 * [backup-simplify]: Simplify 1 into 1
10.425 * [taylor]: Taking taylor expansion of (* im im) in re
10.425 * [taylor]: Taking taylor expansion of im in re
10.425 * [backup-simplify]: Simplify im into im
10.425 * [taylor]: Taking taylor expansion of im in re
10.425 * [backup-simplify]: Simplify im into im
10.426 * [backup-simplify]: Simplify (* 0 0) into 0
10.426 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.426 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.426 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.427 * [backup-simplify]: Simplify (+ 0 0) into 0
10.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.427 * [backup-simplify]: Simplify (log im) into (log im)
10.427 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
10.427 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
10.428 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
10.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
10.428 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
10.428 * [taylor]: Taking taylor expansion of 1/3 in im
10.428 * [backup-simplify]: Simplify 1/3 into 1/3
10.428 * [taylor]: Taking taylor expansion of (log im) in im
10.428 * [taylor]: Taking taylor expansion of im in im
10.428 * [backup-simplify]: Simplify 0 into 0
10.428 * [backup-simplify]: Simplify 1 into 1
10.428 * [backup-simplify]: Simplify (log 1) into 0
10.429 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.429 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
10.429 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
10.429 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
10.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
10.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
10.432 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.432 * [taylor]: Taking taylor expansion of 0 in im
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify 0 into 0
10.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.434 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
10.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.435 * [backup-simplify]: Simplify 0 into 0
10.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.438 * [backup-simplify]: Simplify (+ 1 0) into 1
10.438 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.440 * [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))
10.440 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
10.441 * [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))
10.441 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
10.441 * [taylor]: Taking taylor expansion of 1/6 in im
10.441 * [backup-simplify]: Simplify 1/6 into 1/6
10.441 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
10.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
10.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
10.442 * [taylor]: Taking taylor expansion of 1/3 in im
10.442 * [backup-simplify]: Simplify 1/3 into 1/3
10.442 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
10.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
10.442 * [taylor]: Taking taylor expansion of (pow im 5) in im
10.442 * [taylor]: Taking taylor expansion of im in im
10.442 * [backup-simplify]: Simplify 0 into 0
10.442 * [backup-simplify]: Simplify 1 into 1
10.442 * [backup-simplify]: Simplify (* 1 1) into 1
10.443 * [backup-simplify]: Simplify (* 1 1) into 1
10.443 * [backup-simplify]: Simplify (* 1 1) into 1
10.443 * [backup-simplify]: Simplify (/ 1 1) into 1
10.444 * [backup-simplify]: Simplify (log 1) into 0
10.444 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
10.444 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
10.444 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
10.445 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
10.445 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
10.445 * [backup-simplify]: Simplify 0 into 0
10.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.448 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
10.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.451 * [backup-simplify]: Simplify 0 into 0
10.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.454 * [backup-simplify]: Simplify (+ 0 0) into 0
10.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.457 * [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
10.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
10.461 * [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
10.461 * [taylor]: Taking taylor expansion of 0 in im
10.461 * [backup-simplify]: Simplify 0 into 0
10.461 * [backup-simplify]: Simplify 0 into 0
10.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.466 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
10.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
10.468 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
10.468 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
10.468 * [backup-simplify]: Simplify 0 into 0
10.469 * [backup-simplify]: Simplify 0 into 0
10.474 * [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
10.475 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
10.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
10.478 * [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
10.478 * [backup-simplify]: Simplify 0 into 0
10.479 * [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))
10.479 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
10.479 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
10.480 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
10.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
10.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
10.480 * [taylor]: Taking taylor expansion of 1/3 in im
10.480 * [backup-simplify]: Simplify 1/3 into 1/3
10.480 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
10.480 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.480 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.480 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.480 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.480 * [taylor]: Taking taylor expansion of re in im
10.480 * [backup-simplify]: Simplify re into re
10.480 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.480 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.480 * [taylor]: Taking taylor expansion of re in im
10.480 * [backup-simplify]: Simplify re into re
10.480 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.480 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.480 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.480 * [taylor]: Taking taylor expansion of im in im
10.480 * [backup-simplify]: Simplify 0 into 0
10.480 * [backup-simplify]: Simplify 1 into 1
10.481 * [backup-simplify]: Simplify (/ 1 1) into 1
10.481 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.481 * [taylor]: Taking taylor expansion of im in im
10.481 * [backup-simplify]: Simplify 0 into 0
10.481 * [backup-simplify]: Simplify 1 into 1
10.482 * [backup-simplify]: Simplify (/ 1 1) into 1
10.482 * [backup-simplify]: Simplify (* 1 1) into 1
10.482 * [backup-simplify]: Simplify (+ 0 1) into 1
10.483 * [backup-simplify]: Simplify (sqrt 1) into 1
10.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.486 * [backup-simplify]: Simplify (+ 0 0) into 0
10.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.487 * [backup-simplify]: Simplify (log 1) into 0
10.487 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
10.487 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
10.487 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
10.487 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
10.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
10.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
10.488 * [taylor]: Taking taylor expansion of 1/3 in re
10.488 * [backup-simplify]: Simplify 1/3 into 1/3
10.488 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
10.488 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.488 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.488 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.488 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.488 * [taylor]: Taking taylor expansion of re in re
10.488 * [backup-simplify]: Simplify 0 into 0
10.488 * [backup-simplify]: Simplify 1 into 1
10.488 * [backup-simplify]: Simplify (/ 1 1) into 1
10.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.489 * [taylor]: Taking taylor expansion of re in re
10.489 * [backup-simplify]: Simplify 0 into 0
10.489 * [backup-simplify]: Simplify 1 into 1
10.489 * [backup-simplify]: Simplify (/ 1 1) into 1
10.489 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.489 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.489 * [taylor]: Taking taylor expansion of im in re
10.489 * [backup-simplify]: Simplify im into im
10.489 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.489 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.489 * [taylor]: Taking taylor expansion of im in re
10.489 * [backup-simplify]: Simplify im into im
10.489 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.490 * [backup-simplify]: Simplify (* 1 1) into 1
10.490 * [backup-simplify]: Simplify (+ 1 0) into 1
10.491 * [backup-simplify]: Simplify (sqrt 1) into 1
10.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.493 * [backup-simplify]: Simplify (+ 0 0) into 0
10.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.494 * [backup-simplify]: Simplify (log 1) into 0
10.495 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.495 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
10.495 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
10.495 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
10.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
10.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
10.495 * [taylor]: Taking taylor expansion of 1/3 in re
10.495 * [backup-simplify]: Simplify 1/3 into 1/3
10.495 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
10.495 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.496 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.496 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.496 * [taylor]: Taking taylor expansion of re in re
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [backup-simplify]: Simplify 1 into 1
10.496 * [backup-simplify]: Simplify (/ 1 1) into 1
10.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.496 * [taylor]: Taking taylor expansion of re in re
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [backup-simplify]: Simplify 1 into 1
10.497 * [backup-simplify]: Simplify (/ 1 1) into 1
10.497 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.497 * [taylor]: Taking taylor expansion of im in re
10.497 * [backup-simplify]: Simplify im into im
10.497 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.497 * [taylor]: Taking taylor expansion of im in re
10.497 * [backup-simplify]: Simplify im into im
10.497 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.497 * [backup-simplify]: Simplify (* 1 1) into 1
10.498 * [backup-simplify]: Simplify (+ 1 0) into 1
10.498 * [backup-simplify]: Simplify (sqrt 1) into 1
10.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.501 * [backup-simplify]: Simplify (+ 0 0) into 0
10.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.502 * [backup-simplify]: Simplify (log 1) into 0
10.503 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.503 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
10.503 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
10.503 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
10.503 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
10.503 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
10.503 * [taylor]: Taking taylor expansion of -1/3 in im
10.503 * [backup-simplify]: Simplify -1/3 into -1/3
10.503 * [taylor]: Taking taylor expansion of (log re) in im
10.503 * [taylor]: Taking taylor expansion of re in im
10.503 * [backup-simplify]: Simplify re into re
10.503 * [backup-simplify]: Simplify (log re) into (log re)
10.504 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
10.504 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
10.504 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
10.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.506 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
10.507 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.507 * [taylor]: Taking taylor expansion of 0 in im
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [backup-simplify]: Simplify 0 into 0
10.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
10.509 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
10.510 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.510 * [backup-simplify]: Simplify 0 into 0
10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.513 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.515 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.517 * [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))
10.518 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.518 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
10.520 * [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))))
10.520 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
10.520 * [taylor]: Taking taylor expansion of 1/6 in im
10.520 * [backup-simplify]: Simplify 1/6 into 1/6
10.520 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
10.520 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
10.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
10.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
10.520 * [taylor]: Taking taylor expansion of 1/3 in im
10.520 * [backup-simplify]: Simplify 1/3 into 1/3
10.520 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
10.520 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.520 * [taylor]: Taking taylor expansion of re in im
10.520 * [backup-simplify]: Simplify re into re
10.520 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.520 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
10.520 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
10.521 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
10.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.521 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.521 * [taylor]: Taking taylor expansion of im in im
10.521 * [backup-simplify]: Simplify 0 into 0
10.521 * [backup-simplify]: Simplify 1 into 1
10.521 * [backup-simplify]: Simplify (* 1 1) into 1
10.522 * [backup-simplify]: Simplify (/ 1 1) into 1
10.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
10.527 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
10.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
10.531 * [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
10.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
10.533 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.534 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
10.535 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
10.535 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
10.536 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
10.536 * [backup-simplify]: Simplify 0 into 0
10.536 * [backup-simplify]: Simplify 0 into 0
10.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
10.539 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
10.541 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.541 * [backup-simplify]: Simplify 0 into 0
10.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.548 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.548 * [backup-simplify]: Simplify (+ 0 0) into 0
10.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.552 * [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
10.553 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
10.556 * [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
10.556 * [taylor]: Taking taylor expansion of 0 in im
10.556 * [backup-simplify]: Simplify 0 into 0
10.556 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
10.557 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
10.557 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
10.557 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
10.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
10.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
10.557 * [taylor]: Taking taylor expansion of 1/3 in im
10.557 * [backup-simplify]: Simplify 1/3 into 1/3
10.557 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
10.557 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.557 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.557 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.557 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.557 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.557 * [taylor]: Taking taylor expansion of -1 in im
10.557 * [backup-simplify]: Simplify -1 into -1
10.557 * [taylor]: Taking taylor expansion of re in im
10.557 * [backup-simplify]: Simplify re into re
10.557 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.557 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.557 * [taylor]: Taking taylor expansion of -1 in im
10.557 * [backup-simplify]: Simplify -1 into -1
10.557 * [taylor]: Taking taylor expansion of re in im
10.557 * [backup-simplify]: Simplify re into re
10.558 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.558 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.558 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.558 * [taylor]: Taking taylor expansion of -1 in im
10.558 * [backup-simplify]: Simplify -1 into -1
10.558 * [taylor]: Taking taylor expansion of im in im
10.558 * [backup-simplify]: Simplify 0 into 0
10.558 * [backup-simplify]: Simplify 1 into 1
10.558 * [backup-simplify]: Simplify (/ -1 1) into -1
10.558 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.558 * [taylor]: Taking taylor expansion of -1 in im
10.558 * [backup-simplify]: Simplify -1 into -1
10.558 * [taylor]: Taking taylor expansion of im in im
10.558 * [backup-simplify]: Simplify 0 into 0
10.558 * [backup-simplify]: Simplify 1 into 1
10.559 * [backup-simplify]: Simplify (/ -1 1) into -1
10.559 * [backup-simplify]: Simplify (* -1 -1) into 1
10.560 * [backup-simplify]: Simplify (+ 0 1) into 1
10.560 * [backup-simplify]: Simplify (sqrt 1) into 1
10.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.562 * [backup-simplify]: Simplify (+ 0 0) into 0
10.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.562 * [backup-simplify]: Simplify (log 1) into 0
10.563 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
10.563 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
10.563 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
10.563 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
10.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
10.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
10.563 * [taylor]: Taking taylor expansion of 1/3 in re
10.563 * [backup-simplify]: Simplify 1/3 into 1/3
10.563 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
10.563 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.563 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.563 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.563 * [taylor]: Taking taylor expansion of -1 in re
10.563 * [backup-simplify]: Simplify -1 into -1
10.563 * [taylor]: Taking taylor expansion of re in re
10.563 * [backup-simplify]: Simplify 0 into 0
10.563 * [backup-simplify]: Simplify 1 into 1
10.563 * [backup-simplify]: Simplify (/ -1 1) into -1
10.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.563 * [taylor]: Taking taylor expansion of -1 in re
10.563 * [backup-simplify]: Simplify -1 into -1
10.563 * [taylor]: Taking taylor expansion of re in re
10.563 * [backup-simplify]: Simplify 0 into 0
10.563 * [backup-simplify]: Simplify 1 into 1
10.564 * [backup-simplify]: Simplify (/ -1 1) into -1
10.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.564 * [taylor]: Taking taylor expansion of -1 in re
10.564 * [backup-simplify]: Simplify -1 into -1
10.564 * [taylor]: Taking taylor expansion of im in re
10.564 * [backup-simplify]: Simplify im into im
10.564 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.564 * [taylor]: Taking taylor expansion of -1 in re
10.564 * [backup-simplify]: Simplify -1 into -1
10.564 * [taylor]: Taking taylor expansion of im in re
10.564 * [backup-simplify]: Simplify im into im
10.564 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.564 * [backup-simplify]: Simplify (* -1 -1) into 1
10.564 * [backup-simplify]: Simplify (+ 1 0) into 1
10.565 * [backup-simplify]: Simplify (sqrt 1) into 1
10.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.566 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.566 * [backup-simplify]: Simplify (+ 0 0) into 0
10.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.567 * [backup-simplify]: Simplify (log 1) into 0
10.567 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.567 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
10.567 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
10.567 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
10.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
10.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
10.567 * [taylor]: Taking taylor expansion of 1/3 in re
10.567 * [backup-simplify]: Simplify 1/3 into 1/3
10.567 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
10.567 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.568 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.568 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.568 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.568 * [taylor]: Taking taylor expansion of -1 in re
10.568 * [backup-simplify]: Simplify -1 into -1
10.568 * [taylor]: Taking taylor expansion of re in re
10.568 * [backup-simplify]: Simplify 0 into 0
10.568 * [backup-simplify]: Simplify 1 into 1
10.568 * [backup-simplify]: Simplify (/ -1 1) into -1
10.568 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.568 * [taylor]: Taking taylor expansion of -1 in re
10.568 * [backup-simplify]: Simplify -1 into -1
10.568 * [taylor]: Taking taylor expansion of re in re
10.568 * [backup-simplify]: Simplify 0 into 0
10.568 * [backup-simplify]: Simplify 1 into 1
10.568 * [backup-simplify]: Simplify (/ -1 1) into -1
10.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.568 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.568 * [taylor]: Taking taylor expansion of -1 in re
10.568 * [backup-simplify]: Simplify -1 into -1
10.568 * [taylor]: Taking taylor expansion of im in re
10.568 * [backup-simplify]: Simplify im into im
10.569 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.569 * [taylor]: Taking taylor expansion of -1 in re
10.569 * [backup-simplify]: Simplify -1 into -1
10.569 * [taylor]: Taking taylor expansion of im in re
10.569 * [backup-simplify]: Simplify im into im
10.569 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.569 * [backup-simplify]: Simplify (* -1 -1) into 1
10.569 * [backup-simplify]: Simplify (+ 1 0) into 1
10.569 * [backup-simplify]: Simplify (sqrt 1) into 1
10.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.571 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.571 * [backup-simplify]: Simplify (+ 0 0) into 0
10.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.572 * [backup-simplify]: Simplify (log 1) into 0
10.572 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.572 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
10.572 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
10.572 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
10.572 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
10.572 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
10.572 * [taylor]: Taking taylor expansion of -1/3 in im
10.572 * [backup-simplify]: Simplify -1/3 into -1/3
10.572 * [taylor]: Taking taylor expansion of (log re) in im
10.572 * [taylor]: Taking taylor expansion of re in im
10.572 * [backup-simplify]: Simplify re into re
10.572 * [backup-simplify]: Simplify (log re) into (log re)
10.572 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
10.572 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
10.573 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
10.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.574 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
10.574 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.574 * [taylor]: Taking taylor expansion of 0 in im
10.574 * [backup-simplify]: Simplify 0 into 0
10.574 * [backup-simplify]: Simplify 0 into 0
10.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
10.575 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
10.576 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
10.576 * [backup-simplify]: Simplify 0 into 0
10.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.578 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.578 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.578 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.580 * [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))
10.580 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.580 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
10.581 * [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))))
10.581 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
10.581 * [taylor]: Taking taylor expansion of 1/6 in im
10.581 * [backup-simplify]: Simplify 1/6 into 1/6
10.581 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
10.581 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
10.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
10.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
10.581 * [taylor]: Taking taylor expansion of 1/3 in im
10.581 * [backup-simplify]: Simplify 1/3 into 1/3
10.581 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
10.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.581 * [taylor]: Taking taylor expansion of re in im
10.581 * [backup-simplify]: Simplify re into re
10.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.581 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
10.581 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
10.581 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
10.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.581 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.582 * [taylor]: Taking taylor expansion of im in im
10.582 * [backup-simplify]: Simplify 0 into 0
10.582 * [backup-simplify]: Simplify 1 into 1
10.582 * [backup-simplify]: Simplify (* 1 1) into 1
10.582 * [backup-simplify]: Simplify (/ 1 1) into 1
10.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
10.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
10.586 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
10.587 * [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
10.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
10.589 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.590 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
10.591 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
10.591 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
10.592 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
10.592 * [backup-simplify]: Simplify 0 into 0
10.592 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
10.595 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
10.596 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.596 * [backup-simplify]: Simplify 0 into 0
10.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.600 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.600 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.600 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.600 * [backup-simplify]: Simplify (+ 0 0) into 0
10.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.605 * [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
10.605 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
10.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
10.609 * [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
10.609 * [taylor]: Taking taylor expansion of 0 in im
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
10.609 * * * [progress]: simplifying candidates
10.611 * [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))
  (expm1 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (log1p (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (- re)
  (/ (exp (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (exp re))
  (log (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (exp (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (* (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)))
  (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (* (* (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (- (pow (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 3) (pow re 3))
  (+ (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (+ (* re re) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)))
  (- re)
  (- (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* re re))
  (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)
  (- re)
  (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)
  (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 (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)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 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)
10.614 * * [simplify]: iteration 0: 108 enodes
10.647 * * [simplify]: iteration 1: 250 enodes
10.758 * * [simplify]: iteration 2: 514 enodes
10.959 * * [simplify]: iteration 3: 1319 enodes
11.814 * * [simplify]: iteration 4: 4104 enodes
12.924 * * [simplify]: iteration complete: 5001 enodes
12.924 * * [simplify]: Extracting #0: cost 35 inf + 0
12.926 * * [simplify]: Extracting #1: cost 443 inf + 2
12.931 * * [simplify]: Extracting #2: cost 769 inf + 6700
12.959 * * [simplify]: Extracting #3: cost 601 inf + 46897
13.021 * * [simplify]: Extracting #4: cost 346 inf + 134552
13.083 * * [simplify]: Extracting #5: cost 209 inf + 198827
13.145 * * [simplify]: Extracting #6: cost 60 inf + 278684
13.222 * * [simplify]: Extracting #7: cost 2 inf + 316310
13.298 * * [simplify]: Extracting #8: cost 0 inf + 317359
13.376 * [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) re) (hypot re im) (* re re))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (- re)
  (- (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) re) (hypot re im) (* re re))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (- (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) re) (hypot re im) (* re re))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (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)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (fma (* re 1/6) (* re (cbrt (/ 1 (pow im 5)))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
13.405 * * * [progress]: adding candidates to table
14.215 * [progress]: [Phase 3 of 3] Extracting.
14.215 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (pow (hypot re im) 1/3)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (exp (log (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 (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (exp (log (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (* (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))))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (exp (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (- (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (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 (* (- (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (cbrt (* (hypot re im) (* (hypot re im) (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) re) 2.0))))>)
14.225 * * * [regime-changes]: Trying 2 branch expressions: (im re)
14.225 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (pow (hypot re im) 1/3)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (exp (log (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 (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (exp (log (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (* (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))))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (exp (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (- (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (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 (* (- (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (cbrt (* (hypot re im) (* (hypot re im) (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) re) 2.0))))>)
14.396 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (pow (hypot re im) 1/3)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (exp (log (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 (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (exp (log (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (* (* (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))))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (* (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (exp (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (exp (log (- (hypot re im) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (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 (* (- (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (cbrt (* (hypot re im) (* (hypot re im) (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) re) 2.0))))>)
14.537 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
14.538 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
14.538 * * [simplify]: iteration 0: 9 enodes
14.539 * * [simplify]: iteration 1: 11 enodes
14.539 * * [simplify]: iteration complete: 11 enodes
14.539 * * [simplify]: Extracting #0: cost 1 inf + 0
14.539 * * [simplify]: Extracting #1: cost 3 inf + 0
14.539 * * [simplify]: Extracting #2: cost 3 inf + 1
14.539 * * [simplify]: Extracting #3: cost 5 inf + 1
14.539 * * [simplify]: Extracting #4: cost 6 inf + 2
14.539 * * [simplify]: Extracting #5: cost 6 inf + 3
14.539 * * [simplify]: Extracting #6: cost 0 inf + 693
14.539 * [simplify]: Simplified to:
  (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
20.027 * [regime-testing]: Baseline error score: 12.890551590523916
20.037 * [regime-testing]: Oracle error score: 12.65726601685015
20.071 * [regime-testing]: End program error score: 12.890551590523916