0.526 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.163 * * * [progress]: [2/2] Setting up program.
0.171 * [progress]: [Phase 2 of 3] Improving.
0.173 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.174 * * [simplify]: iteration 0: 12 enodes
0.179 * * [simplify]: iteration 1: 19 enodes
0.181 * * [simplify]: iteration 2: 28 enodes
0.185 * * [simplify]: iteration 3: 36 enodes
0.189 * * [simplify]: iteration 4: 43 enodes
0.194 * * [simplify]: iteration 5: 45 enodes
0.199 * * [simplify]: iteration complete: 45 enodes
0.199 * * [simplify]: Extracting #0: cost 1 inf + 0
0.199 * * [simplify]: Extracting #1: cost 3 inf + 0
0.200 * * [simplify]: Extracting #2: cost 3 inf + 1
0.200 * * [simplify]: Extracting #3: cost 12 inf + 1
0.200 * * [simplify]: Extracting #4: cost 9 inf + 168
0.200 * * [simplify]: Extracting #5: cost 7 inf + 460
0.200 * * [simplify]: Extracting #6: cost 1 inf + 1189
0.201 * * [simplify]: Extracting #7: cost 0 inf + 1176
0.201 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
0.209 * * [progress]: iteration 1 / 4
0.209 * * * [progress]: picking best candidate
0.213 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
0.213 * * * [progress]: localizing error
0.261 * * * [progress]: generating rewritten candidates
0.261 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1)
0.279 * * * [progress]: generating series expansions
0.279 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1)
0.285 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
0.285 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
0.286 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.286 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.287 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.287 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.287 * [taylor]: Taking taylor expansion of (* re re) in im
0.287 * [taylor]: Taking taylor expansion of re in im
0.287 * [backup-simplify]: Simplify re into re
0.287 * [taylor]: Taking taylor expansion of re in im
0.287 * [backup-simplify]: Simplify re into re
0.287 * [taylor]: Taking taylor expansion of (* im im) in im
0.287 * [taylor]: Taking taylor expansion of im in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of im in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.290 * [backup-simplify]: Simplify (* 0 0) into 0
0.291 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.291 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.291 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.291 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.292 * [taylor]: Taking taylor expansion of re in im
0.292 * [backup-simplify]: Simplify re into re
0.292 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.292 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.292 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.292 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.292 * [taylor]: Taking taylor expansion of (* re re) in re
0.292 * [taylor]: Taking taylor expansion of re in re
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [taylor]: Taking taylor expansion of re in re
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [taylor]: Taking taylor expansion of (* im im) in re
0.292 * [taylor]: Taking taylor expansion of im in re
0.292 * [backup-simplify]: Simplify im into im
0.292 * [taylor]: Taking taylor expansion of im in re
0.292 * [backup-simplify]: Simplify im into im
0.292 * [backup-simplify]: Simplify (* 0 0) into 0
0.292 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.292 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.292 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.293 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.293 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.293 * [taylor]: Taking taylor expansion of re in re
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.293 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.293 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.293 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.293 * [taylor]: Taking taylor expansion of (* re re) in re
0.294 * [taylor]: Taking taylor expansion of re in re
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [taylor]: Taking taylor expansion of re in re
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [taylor]: Taking taylor expansion of (* im im) in re
0.294 * [taylor]: Taking taylor expansion of im in re
0.294 * [backup-simplify]: Simplify im into im
0.294 * [taylor]: Taking taylor expansion of im in re
0.294 * [backup-simplify]: Simplify im into im
0.294 * [backup-simplify]: Simplify (* 0 0) into 0
0.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.294 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.294 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.295 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (- 0) into 0
0.296 * [backup-simplify]: Simplify (+ im 0) into im
0.296 * [taylor]: Taking taylor expansion of im in im
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (- 1) into -1
0.297 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.297 * [taylor]: Taking taylor expansion of -1 in im
0.297 * [backup-simplify]: Simplify -1 into -1
0.297 * [backup-simplify]: Simplify -1 into -1
0.297 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.298 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.299 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.299 * [backup-simplify]: Simplify (- 0) into 0
0.300 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.300 * [taylor]: Taking taylor expansion of 1/2 in im
0.300 * [backup-simplify]: Simplify 1/2 into 1/2
0.300 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.300 * [taylor]: Taking taylor expansion of im in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.303 * [backup-simplify]: Simplify (- 0) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in im
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.305 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.305 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.305 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.305 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.306 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.306 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.306 * [taylor]: Taking taylor expansion of re in im
0.306 * [backup-simplify]: Simplify re into re
0.306 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.306 * [taylor]: Taking taylor expansion of re in im
0.306 * [backup-simplify]: Simplify re into re
0.306 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.306 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.306 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.306 * [taylor]: Taking taylor expansion of im in im
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.306 * [taylor]: Taking taylor expansion of im in im
0.306 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.308 * [backup-simplify]: Simplify (+ 0 1) into 1
0.308 * [backup-simplify]: Simplify (sqrt 1) into 1
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.310 * [taylor]: Taking taylor expansion of re in im
0.310 * [backup-simplify]: Simplify re into re
0.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.310 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.310 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.311 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.311 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.311 * [taylor]: Taking taylor expansion of im in re
0.311 * [backup-simplify]: Simplify im into im
0.312 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.312 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.312 * [taylor]: Taking taylor expansion of im in re
0.312 * [backup-simplify]: Simplify im into im
0.312 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.312 * [backup-simplify]: Simplify (+ 1 0) into 1
0.313 * [backup-simplify]: Simplify (sqrt 1) into 1
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.315 * [taylor]: Taking taylor expansion of re in re
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.316 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.316 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.316 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.316 * [taylor]: Taking taylor expansion of re in re
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.316 * [taylor]: Taking taylor expansion of re in re
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.316 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.316 * [taylor]: Taking taylor expansion of im in re
0.317 * [backup-simplify]: Simplify im into im
0.317 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.317 * [taylor]: Taking taylor expansion of im in re
0.317 * [backup-simplify]: Simplify im into im
0.317 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (sqrt 1) into 1
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [backup-simplify]: Simplify (- 1) into -1
0.320 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- 0) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [taylor]: Taking taylor expansion of 0 in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.324 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.326 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.328 * [taylor]: Taking taylor expansion of 1/2 in im
0.328 * [backup-simplify]: Simplify 1/2 into 1/2
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.328 * [taylor]: Taking taylor expansion of im in im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.335 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in im
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.342 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.342 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.342 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.342 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.342 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.342 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.342 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.342 * [taylor]: Taking taylor expansion of -1 in im
0.342 * [backup-simplify]: Simplify -1 into -1
0.342 * [taylor]: Taking taylor expansion of re in im
0.343 * [backup-simplify]: Simplify re into re
0.343 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.343 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.343 * [taylor]: Taking taylor expansion of -1 in im
0.343 * [backup-simplify]: Simplify -1 into -1
0.343 * [taylor]: Taking taylor expansion of re in im
0.343 * [backup-simplify]: Simplify re into re
0.343 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.343 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.343 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.343 * [taylor]: Taking taylor expansion of -1 in im
0.343 * [backup-simplify]: Simplify -1 into -1
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (/ -1 1) into -1
0.344 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.344 * [taylor]: Taking taylor expansion of -1 in im
0.344 * [backup-simplify]: Simplify -1 into -1
0.344 * [taylor]: Taking taylor expansion of im in im
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (/ -1 1) into -1
0.345 * [backup-simplify]: Simplify (* -1 -1) into 1
0.346 * [backup-simplify]: Simplify (+ 0 1) into 1
0.346 * [backup-simplify]: Simplify (sqrt 1) into 1
0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.350 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.350 * [taylor]: Taking taylor expansion of re in im
0.350 * [backup-simplify]: Simplify re into re
0.350 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.350 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.350 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.351 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.351 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.351 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.351 * [taylor]: Taking taylor expansion of -1 in re
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of re in re
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (/ -1 1) into -1
0.351 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.351 * [taylor]: Taking taylor expansion of -1 in re
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of re in re
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ -1 1) into -1
0.352 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.352 * [taylor]: Taking taylor expansion of -1 in re
0.352 * [backup-simplify]: Simplify -1 into -1
0.352 * [taylor]: Taking taylor expansion of im in re
0.352 * [backup-simplify]: Simplify im into im
0.352 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.352 * [taylor]: Taking taylor expansion of -1 in re
0.352 * [backup-simplify]: Simplify -1 into -1
0.352 * [taylor]: Taking taylor expansion of im in re
0.352 * [backup-simplify]: Simplify im into im
0.352 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.353 * [backup-simplify]: Simplify (* -1 -1) into 1
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.354 * [backup-simplify]: Simplify (sqrt 1) into 1
0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.358 * [taylor]: Taking taylor expansion of re in re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.359 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.359 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.359 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.359 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.359 * [taylor]: Taking taylor expansion of -1 in re
0.359 * [backup-simplify]: Simplify -1 into -1
0.359 * [taylor]: Taking taylor expansion of re in re
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (/ -1 1) into -1
0.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.360 * [taylor]: Taking taylor expansion of -1 in re
0.360 * [backup-simplify]: Simplify -1 into -1
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
0.360 * [backup-simplify]: Simplify (/ -1 1) into -1
0.360 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.360 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.360 * [taylor]: Taking taylor expansion of -1 in re
0.360 * [backup-simplify]: Simplify -1 into -1
0.360 * [taylor]: Taking taylor expansion of im in re
0.360 * [backup-simplify]: Simplify im into im
0.360 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.361 * [taylor]: Taking taylor expansion of -1 in re
0.361 * [backup-simplify]: Simplify -1 into -1
0.361 * [taylor]: Taking taylor expansion of im in re
0.361 * [backup-simplify]: Simplify im into im
0.361 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.361 * [backup-simplify]: Simplify (* -1 -1) into 1
0.362 * [backup-simplify]: Simplify (+ 1 0) into 1
0.362 * [backup-simplify]: Simplify (sqrt 1) into 1
0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.366 * [taylor]: Taking taylor expansion of re in re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [backup-simplify]: Simplify (+ 1 1) into 2
0.367 * [taylor]: Taking taylor expansion of 2 in im
0.367 * [backup-simplify]: Simplify 2 into 2
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 2 into 2
0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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))
0.372 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.385 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.387 * [taylor]: Taking taylor expansion of 1/2 in im
0.387 * [backup-simplify]: Simplify 1/2 into 1/2
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.387 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.387 * [taylor]: Taking taylor expansion of im in im
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (* 1 1) into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.394 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.395 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.395 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in im
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.401 * * * [progress]: simplifying candidates
0.402 * [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)
  (- im re)
  0
  (* -2 re)
0.403 * * [simplify]: iteration 0: 61 enodes
0.413 * * [simplify]: iteration 1: 130 enodes
0.452 * * [simplify]: iteration 2: 331 enodes
0.684 * * [simplify]: iteration 3: 1600 enodes
1.770 * * [simplify]: iteration complete: 5000 enodes
1.771 * * [simplify]: Extracting #0: cost 19 inf + 0
1.772 * * [simplify]: Extracting #1: cost 349 inf + 1
1.779 * * [simplify]: Extracting #2: cost 1321 inf + 49
1.793 * * [simplify]: Extracting #3: cost 1185 inf + 28911
1.836 * * [simplify]: Extracting #4: cost 578 inf + 126462
1.881 * * [simplify]: Extracting #5: cost 63 inf + 223859
1.931 * * [simplify]: Extracting #6: cost 0 inf + 236814
2.005 * * [simplify]: Extracting #7: cost 0 inf + 236774
2.052 * [simplify]: Simplified to:
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) re)
  0
  (- (hypot re im) 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 (+ re (hypot re im)) 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)
  (- im re)
  0
  (* -2 re)
2.057 * * * [progress]: adding candidates to table
2.170 * * [progress]: iteration 2 / 4
2.170 * * * [progress]: picking best candidate
2.185 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 2.0))))>
2.185 * * * [progress]: localizing error
2.200 * * * [progress]: generating rewritten candidates
2.200 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
2.256 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2 1)
2.261 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1 1)
2.270 * * * [progress]: generating series expansions
2.270 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
2.270 * [backup-simplify]: Simplify (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) into (- (hypot re im) re)
2.270 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
2.270 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
2.270 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.271 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.271 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.271 * [taylor]: Taking taylor expansion of (* re re) in im
2.271 * [taylor]: Taking taylor expansion of re in im
2.271 * [backup-simplify]: Simplify re into re
2.271 * [taylor]: Taking taylor expansion of re in im
2.271 * [backup-simplify]: Simplify re into re
2.271 * [taylor]: Taking taylor expansion of (* im im) in im
2.271 * [taylor]: Taking taylor expansion of im in im
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 1 into 1
2.271 * [taylor]: Taking taylor expansion of im in im
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 1 into 1
2.271 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.271 * [backup-simplify]: Simplify (* 0 0) into 0
2.272 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.272 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.272 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.272 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.272 * [backup-simplify]: Simplify (+ 0 0) into 0
2.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.272 * [taylor]: Taking taylor expansion of re in im
2.272 * [backup-simplify]: Simplify re into re
2.272 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
2.272 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.273 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.273 * [taylor]: Taking taylor expansion of (* re re) in re
2.273 * [taylor]: Taking taylor expansion of re in re
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [taylor]: Taking taylor expansion of re in re
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [taylor]: Taking taylor expansion of (* im im) in re
2.273 * [taylor]: Taking taylor expansion of im in re
2.273 * [backup-simplify]: Simplify im into im
2.273 * [taylor]: Taking taylor expansion of im in re
2.273 * [backup-simplify]: Simplify im into im
2.277 * [backup-simplify]: Simplify (* 0 0) into 0
2.277 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.278 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.279 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.279 * [backup-simplify]: Simplify (+ 0 0) into 0
2.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.279 * [taylor]: Taking taylor expansion of re in re
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 1 into 1
2.279 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
2.279 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.280 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.280 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.280 * [taylor]: Taking taylor expansion of (* re re) in re
2.280 * [taylor]: Taking taylor expansion of re in re
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of re in re
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of (* im im) in re
2.280 * [taylor]: Taking taylor expansion of im in re
2.280 * [backup-simplify]: Simplify im into im
2.280 * [taylor]: Taking taylor expansion of im in re
2.280 * [backup-simplify]: Simplify im into im
2.280 * [backup-simplify]: Simplify (* 0 0) into 0
2.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.281 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.281 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.281 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.282 * [backup-simplify]: Simplify (+ 0 0) into 0
2.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.282 * [taylor]: Taking taylor expansion of re in re
2.282 * [backup-simplify]: Simplify 0 into 0
2.282 * [backup-simplify]: Simplify 1 into 1
2.282 * [backup-simplify]: Simplify (- 0) into 0
2.282 * [backup-simplify]: Simplify (+ im 0) into im
2.282 * [taylor]: Taking taylor expansion of im in im
2.282 * [backup-simplify]: Simplify 0 into 0
2.282 * [backup-simplify]: Simplify 1 into 1
2.282 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify (- 1) into -1
2.283 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.283 * [taylor]: Taking taylor expansion of -1 in im
2.283 * [backup-simplify]: Simplify -1 into -1
2.283 * [backup-simplify]: Simplify -1 into -1
2.283 * [backup-simplify]: Simplify 1 into 1
2.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.285 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.285 * [backup-simplify]: Simplify (+ 1 0) into 1
2.286 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.286 * [backup-simplify]: Simplify (- 0) into 0
2.286 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.286 * [taylor]: Taking taylor expansion of 1/2 in im
2.286 * [backup-simplify]: Simplify 1/2 into 1/2
2.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.286 * [taylor]: Taking taylor expansion of im in im
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 1 into 1
2.287 * [backup-simplify]: Simplify (/ 1 1) into 1
2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.290 * [backup-simplify]: Simplify (+ 0 0) into 0
2.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.291 * [backup-simplify]: Simplify (- 0) into 0
2.291 * [backup-simplify]: Simplify (+ 0 0) into 0
2.291 * [taylor]: Taking taylor expansion of 0 in im
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
2.294 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
2.294 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
2.294 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
2.294 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.294 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.294 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.294 * [taylor]: Taking taylor expansion of re in im
2.294 * [backup-simplify]: Simplify re into re
2.294 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.294 * [taylor]: Taking taylor expansion of re in im
2.294 * [backup-simplify]: Simplify re into re
2.294 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.294 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.294 * [taylor]: Taking taylor expansion of im in im
2.294 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify 1 into 1
2.294 * [backup-simplify]: Simplify (/ 1 1) into 1
2.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.294 * [taylor]: Taking taylor expansion of im in im
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 1 into 1
2.295 * [backup-simplify]: Simplify (/ 1 1) into 1
2.295 * [backup-simplify]: Simplify (* 1 1) into 1
2.295 * [backup-simplify]: Simplify (+ 0 1) into 1
2.295 * [backup-simplify]: Simplify (sqrt 1) into 1
2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.297 * [backup-simplify]: Simplify (+ 0 0) into 0
2.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.297 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.297 * [taylor]: Taking taylor expansion of re in im
2.297 * [backup-simplify]: Simplify re into re
2.297 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.297 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
2.298 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.298 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.298 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.298 * [taylor]: Taking taylor expansion of re in re
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (/ 1 1) into 1
2.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.298 * [taylor]: Taking taylor expansion of re in re
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (/ 1 1) into 1
2.298 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.298 * [taylor]: Taking taylor expansion of im in re
2.298 * [backup-simplify]: Simplify im into im
2.298 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.298 * [taylor]: Taking taylor expansion of im in re
2.298 * [backup-simplify]: Simplify im into im
2.298 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.299 * [backup-simplify]: Simplify (* 1 1) into 1
2.299 * [backup-simplify]: Simplify (+ 1 0) into 1
2.299 * [backup-simplify]: Simplify (sqrt 1) into 1
2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.301 * [backup-simplify]: Simplify (+ 0 0) into 0
2.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.301 * [taylor]: Taking taylor expansion of re in re
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify 1 into 1
2.302 * [backup-simplify]: Simplify (/ 1 1) into 1
2.302 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
2.302 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.302 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.302 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.302 * [taylor]: Taking taylor expansion of re in re
2.302 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify 1 into 1
2.302 * [backup-simplify]: Simplify (/ 1 1) into 1
2.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.302 * [taylor]: Taking taylor expansion of re in re
2.302 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify 1 into 1
2.302 * [backup-simplify]: Simplify (/ 1 1) into 1
2.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.303 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.303 * [taylor]: Taking taylor expansion of im in re
2.303 * [backup-simplify]: Simplify im into im
2.303 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.303 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.303 * [taylor]: Taking taylor expansion of im in re
2.303 * [backup-simplify]: Simplify im into im
2.303 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.303 * [backup-simplify]: Simplify (* 1 1) into 1
2.304 * [backup-simplify]: Simplify (+ 1 0) into 1
2.304 * [backup-simplify]: Simplify (sqrt 1) into 1
2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.305 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.306 * [taylor]: Taking taylor expansion of re in re
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [backup-simplify]: Simplify (/ 1 1) into 1
2.307 * [backup-simplify]: Simplify (- 1) into -1
2.307 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.307 * [taylor]: Taking taylor expansion of 0 in im
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.308 * [backup-simplify]: Simplify (- 0) into 0
2.308 * [backup-simplify]: Simplify (+ 0 0) into 0
2.308 * [taylor]: Taking taylor expansion of 0 in im
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.310 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.310 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.311 * [backup-simplify]: Simplify (- 0) into 0
2.311 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.311 * [taylor]: Taking taylor expansion of 1/2 in im
2.311 * [backup-simplify]: Simplify 1/2 into 1/2
2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.312 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.312 * [taylor]: Taking taylor expansion of im in im
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 1 into 1
2.312 * [backup-simplify]: Simplify (* 1 1) into 1
2.312 * [backup-simplify]: Simplify (/ 1 1) into 1
2.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.315 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.316 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.317 * [backup-simplify]: Simplify (- 0) into 0
2.317 * [backup-simplify]: Simplify (+ 0 0) into 0
2.317 * [taylor]: Taking taylor expansion of 0 in im
2.317 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.319 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.319 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.319 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.319 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.319 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.319 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.319 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.319 * [taylor]: Taking taylor expansion of -1 in im
2.319 * [backup-simplify]: Simplify -1 into -1
2.319 * [taylor]: Taking taylor expansion of re in im
2.319 * [backup-simplify]: Simplify re into re
2.319 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.319 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.319 * [taylor]: Taking taylor expansion of -1 in im
2.319 * [backup-simplify]: Simplify -1 into -1
2.319 * [taylor]: Taking taylor expansion of re in im
2.319 * [backup-simplify]: Simplify re into re
2.319 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.319 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.319 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.319 * [taylor]: Taking taylor expansion of -1 in im
2.319 * [backup-simplify]: Simplify -1 into -1
2.320 * [taylor]: Taking taylor expansion of im in im
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 1 into 1
2.320 * [backup-simplify]: Simplify (/ -1 1) into -1
2.320 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.320 * [taylor]: Taking taylor expansion of -1 in im
2.320 * [backup-simplify]: Simplify -1 into -1
2.320 * [taylor]: Taking taylor expansion of im in im
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 1 into 1
2.320 * [backup-simplify]: Simplify (/ -1 1) into -1
2.320 * [backup-simplify]: Simplify (* -1 -1) into 1
2.321 * [backup-simplify]: Simplify (+ 0 1) into 1
2.321 * [backup-simplify]: Simplify (sqrt 1) into 1
2.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.322 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.323 * [backup-simplify]: Simplify (+ 0 0) into 0
2.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.323 * [taylor]: Taking taylor expansion of re in im
2.323 * [backup-simplify]: Simplify re into re
2.323 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.323 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.323 * [taylor]: Taking taylor expansion of -1 in re
2.323 * [backup-simplify]: Simplify -1 into -1
2.323 * [taylor]: Taking taylor expansion of re in re
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify (/ -1 1) into -1
2.324 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.324 * [taylor]: Taking taylor expansion of -1 in re
2.324 * [backup-simplify]: Simplify -1 into -1
2.324 * [taylor]: Taking taylor expansion of re in re
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify (/ -1 1) into -1
2.324 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.324 * [taylor]: Taking taylor expansion of -1 in re
2.324 * [backup-simplify]: Simplify -1 into -1
2.324 * [taylor]: Taking taylor expansion of im in re
2.324 * [backup-simplify]: Simplify im into im
2.324 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.324 * [taylor]: Taking taylor expansion of -1 in re
2.324 * [backup-simplify]: Simplify -1 into -1
2.324 * [taylor]: Taking taylor expansion of im in re
2.324 * [backup-simplify]: Simplify im into im
2.324 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.324 * [backup-simplify]: Simplify (* -1 -1) into 1
2.325 * [backup-simplify]: Simplify (+ 1 0) into 1
2.325 * [backup-simplify]: Simplify (sqrt 1) into 1
2.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.327 * [taylor]: Taking taylor expansion of re in re
2.327 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify 1 into 1
2.327 * [backup-simplify]: Simplify (/ 1 1) into 1
2.327 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.327 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.327 * [taylor]: Taking taylor expansion of -1 in re
2.328 * [backup-simplify]: Simplify -1 into -1
2.328 * [taylor]: Taking taylor expansion of re in re
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [backup-simplify]: Simplify (/ -1 1) into -1
2.328 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.328 * [taylor]: Taking taylor expansion of -1 in re
2.328 * [backup-simplify]: Simplify -1 into -1
2.328 * [taylor]: Taking taylor expansion of re in re
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [backup-simplify]: Simplify (/ -1 1) into -1
2.328 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.328 * [taylor]: Taking taylor expansion of -1 in re
2.328 * [backup-simplify]: Simplify -1 into -1
2.328 * [taylor]: Taking taylor expansion of im in re
2.328 * [backup-simplify]: Simplify im into im
2.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.329 * [taylor]: Taking taylor expansion of -1 in re
2.329 * [backup-simplify]: Simplify -1 into -1
2.329 * [taylor]: Taking taylor expansion of im in re
2.329 * [backup-simplify]: Simplify im into im
2.329 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.329 * [backup-simplify]: Simplify (* -1 -1) into 1
2.329 * [backup-simplify]: Simplify (+ 1 0) into 1
2.329 * [backup-simplify]: Simplify (sqrt 1) into 1
2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.332 * [backup-simplify]: Simplify (+ 0 0) into 0
2.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.332 * [taylor]: Taking taylor expansion of re in re
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (/ 1 1) into 1
2.333 * [backup-simplify]: Simplify (+ 1 1) into 2
2.333 * [taylor]: Taking taylor expansion of 2 in im
2.333 * [backup-simplify]: Simplify 2 into 2
2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.334 * [backup-simplify]: Simplify (+ 0 0) into 0
2.334 * [taylor]: Taking taylor expansion of 0 in im
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify 2 into 2
2.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.338 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.338 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.339 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.340 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.340 * [taylor]: Taking taylor expansion of 1/2 in im
2.341 * [backup-simplify]: Simplify 1/2 into 1/2
2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.341 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.341 * [taylor]: Taking taylor expansion of im in im
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 1 into 1
2.341 * [backup-simplify]: Simplify (* 1 1) into 1
2.341 * [backup-simplify]: Simplify (/ 1 1) into 1
2.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.347 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.347 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.347 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.348 * [backup-simplify]: Simplify (+ 0 0) into 0
2.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.350 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [taylor]: Taking taylor expansion of 0 in im
2.350 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
2.353 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2 1)
2.353 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
2.353 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
2.353 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
2.353 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.353 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.353 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.353 * [taylor]: Taking taylor expansion of (* re re) in im
2.353 * [taylor]: Taking taylor expansion of re in im
2.353 * [backup-simplify]: Simplify re into re
2.353 * [taylor]: Taking taylor expansion of re in im
2.354 * [backup-simplify]: Simplify re into re
2.354 * [taylor]: Taking taylor expansion of (* im im) in im
2.354 * [taylor]: Taking taylor expansion of im in im
2.354 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify 1 into 1
2.354 * [taylor]: Taking taylor expansion of im in im
2.354 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify 1 into 1
2.354 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.354 * [backup-simplify]: Simplify (* 0 0) into 0
2.354 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.354 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.355 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.355 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.356 * [backup-simplify]: Simplify (+ 0 0) into 0
2.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.356 * [taylor]: Taking taylor expansion of re in im
2.356 * [backup-simplify]: Simplify re into re
2.356 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
2.356 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.356 * [taylor]: Taking taylor expansion of (* re re) in re
2.356 * [taylor]: Taking taylor expansion of re in re
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [taylor]: Taking taylor expansion of re in re
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [taylor]: Taking taylor expansion of (* im im) in re
2.356 * [taylor]: Taking taylor expansion of im in re
2.356 * [backup-simplify]: Simplify im into im
2.356 * [taylor]: Taking taylor expansion of im in re
2.356 * [backup-simplify]: Simplify im into im
2.357 * [backup-simplify]: Simplify (* 0 0) into 0
2.357 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.357 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.357 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.358 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.358 * [backup-simplify]: Simplify (+ 0 0) into 0
2.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.358 * [taylor]: Taking taylor expansion of re in re
2.358 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify 1 into 1
2.358 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
2.358 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.359 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.359 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.359 * [taylor]: Taking taylor expansion of (* re re) in re
2.359 * [taylor]: Taking taylor expansion of re in re
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [taylor]: Taking taylor expansion of re in re
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [taylor]: Taking taylor expansion of (* im im) in re
2.359 * [taylor]: Taking taylor expansion of im in re
2.359 * [backup-simplify]: Simplify im into im
2.359 * [taylor]: Taking taylor expansion of im in re
2.359 * [backup-simplify]: Simplify im into im
2.359 * [backup-simplify]: Simplify (* 0 0) into 0
2.359 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.359 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.360 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.361 * [backup-simplify]: Simplify (+ 0 0) into 0
2.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.361 * [taylor]: Taking taylor expansion of re in re
2.361 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 1 into 1
2.361 * [backup-simplify]: Simplify (- 0) into 0
2.361 * [backup-simplify]: Simplify (+ im 0) into im
2.361 * [taylor]: Taking taylor expansion of im in im
2.361 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 1 into 1
2.361 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify (- 1) into -1
2.362 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.362 * [taylor]: Taking taylor expansion of -1 in im
2.362 * [backup-simplify]: Simplify -1 into -1
2.362 * [backup-simplify]: Simplify -1 into -1
2.362 * [backup-simplify]: Simplify 1 into 1
2.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.364 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.364 * [backup-simplify]: Simplify (+ 1 0) into 1
2.365 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.365 * [backup-simplify]: Simplify (- 0) into 0
2.365 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.365 * [taylor]: Taking taylor expansion of 1/2 in im
2.365 * [backup-simplify]: Simplify 1/2 into 1/2
2.365 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.365 * [taylor]: Taking taylor expansion of im in im
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 1 into 1
2.366 * [backup-simplify]: Simplify (/ 1 1) into 1
2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.369 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.370 * [backup-simplify]: Simplify (+ 0 0) into 0
2.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.370 * [backup-simplify]: Simplify (- 0) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.371 * [taylor]: Taking taylor expansion of 0 in im
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
2.373 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
2.373 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
2.373 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
2.373 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.373 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.373 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.373 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.373 * [taylor]: Taking taylor expansion of re in im
2.373 * [backup-simplify]: Simplify re into re
2.374 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.374 * [taylor]: Taking taylor expansion of re in im
2.374 * [backup-simplify]: Simplify re into re
2.374 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.374 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.374 * [taylor]: Taking taylor expansion of im in im
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify 1 into 1
2.374 * [backup-simplify]: Simplify (/ 1 1) into 1
2.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.374 * [taylor]: Taking taylor expansion of im in im
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify 1 into 1
2.375 * [backup-simplify]: Simplify (/ 1 1) into 1
2.375 * [backup-simplify]: Simplify (* 1 1) into 1
2.375 * [backup-simplify]: Simplify (+ 0 1) into 1
2.376 * [backup-simplify]: Simplify (sqrt 1) into 1
2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.379 * [backup-simplify]: Simplify (+ 0 0) into 0
2.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.379 * [taylor]: Taking taylor expansion of re in im
2.379 * [backup-simplify]: Simplify re into re
2.380 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.380 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
2.380 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.380 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.380 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.380 * [taylor]: Taking taylor expansion of re in re
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify (/ 1 1) into 1
2.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.380 * [taylor]: Taking taylor expansion of re in re
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (/ 1 1) into 1
2.381 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.381 * [taylor]: Taking taylor expansion of im in re
2.381 * [backup-simplify]: Simplify im into im
2.381 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.381 * [taylor]: Taking taylor expansion of im in re
2.381 * [backup-simplify]: Simplify im into im
2.381 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.382 * [backup-simplify]: Simplify (* 1 1) into 1
2.382 * [backup-simplify]: Simplify (+ 1 0) into 1
2.382 * [backup-simplify]: Simplify (sqrt 1) into 1
2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.385 * [backup-simplify]: Simplify (+ 0 0) into 0
2.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.386 * [taylor]: Taking taylor expansion of re in re
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [backup-simplify]: Simplify (/ 1 1) into 1
2.386 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
2.386 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.386 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.386 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.387 * [taylor]: Taking taylor expansion of re in re
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (/ 1 1) into 1
2.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.387 * [taylor]: Taking taylor expansion of re in re
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (/ 1 1) into 1
2.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.387 * [taylor]: Taking taylor expansion of im in re
2.388 * [backup-simplify]: Simplify im into im
2.388 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.388 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.388 * [taylor]: Taking taylor expansion of im in re
2.388 * [backup-simplify]: Simplify im into im
2.388 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (+ 1 0) into 1
2.389 * [backup-simplify]: Simplify (sqrt 1) into 1
2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.391 * [backup-simplify]: Simplify (+ 0 0) into 0
2.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.392 * [taylor]: Taking taylor expansion of re in re
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (/ 1 1) into 1
2.393 * [backup-simplify]: Simplify (- 1) into -1
2.393 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.393 * [taylor]: Taking taylor expansion of 0 in im
2.393 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.394 * [backup-simplify]: Simplify (- 0) into 0
2.395 * [backup-simplify]: Simplify (+ 0 0) into 0
2.395 * [taylor]: Taking taylor expansion of 0 in im
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.398 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (- 0) into 0
2.401 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.401 * [taylor]: Taking taylor expansion of 1/2 in im
2.401 * [backup-simplify]: Simplify 1/2 into 1/2
2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.401 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.401 * [taylor]: Taking taylor expansion of im in im
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.408 * [backup-simplify]: Simplify (/ 1 1) into 1
2.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.412 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.412 * [backup-simplify]: Simplify (+ 0 0) into 0
2.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.414 * [backup-simplify]: Simplify (- 0) into 0
2.414 * [backup-simplify]: Simplify (+ 0 0) into 0
2.414 * [taylor]: Taking taylor expansion of 0 in im
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.416 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.416 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.416 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.416 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.416 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.416 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.416 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.416 * [taylor]: Taking taylor expansion of -1 in im
2.416 * [backup-simplify]: Simplify -1 into -1
2.416 * [taylor]: Taking taylor expansion of re in im
2.416 * [backup-simplify]: Simplify re into re
2.416 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.416 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.416 * [taylor]: Taking taylor expansion of -1 in im
2.416 * [backup-simplify]: Simplify -1 into -1
2.416 * [taylor]: Taking taylor expansion of re in im
2.416 * [backup-simplify]: Simplify re into re
2.416 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.416 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.416 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.416 * [taylor]: Taking taylor expansion of -1 in im
2.416 * [backup-simplify]: Simplify -1 into -1
2.416 * [taylor]: Taking taylor expansion of im in im
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (/ -1 1) into -1
2.417 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.417 * [taylor]: Taking taylor expansion of -1 in im
2.417 * [backup-simplify]: Simplify -1 into -1
2.417 * [taylor]: Taking taylor expansion of im in im
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (/ -1 1) into -1
2.417 * [backup-simplify]: Simplify (* -1 -1) into 1
2.417 * [backup-simplify]: Simplify (+ 0 1) into 1
2.418 * [backup-simplify]: Simplify (sqrt 1) into 1
2.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.419 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.419 * [backup-simplify]: Simplify (+ 0 0) into 0
2.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.420 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.420 * [taylor]: Taking taylor expansion of re in im
2.420 * [backup-simplify]: Simplify re into re
2.420 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.420 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.420 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.420 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.420 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.420 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.420 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.420 * [taylor]: Taking taylor expansion of -1 in re
2.420 * [backup-simplify]: Simplify -1 into -1
2.420 * [taylor]: Taking taylor expansion of re in re
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (/ -1 1) into -1
2.420 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.420 * [taylor]: Taking taylor expansion of -1 in re
2.420 * [backup-simplify]: Simplify -1 into -1
2.420 * [taylor]: Taking taylor expansion of re in re
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (/ -1 1) into -1
2.421 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.421 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.421 * [taylor]: Taking taylor expansion of -1 in re
2.421 * [backup-simplify]: Simplify -1 into -1
2.421 * [taylor]: Taking taylor expansion of im in re
2.421 * [backup-simplify]: Simplify im into im
2.421 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.421 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.421 * [taylor]: Taking taylor expansion of -1 in re
2.421 * [backup-simplify]: Simplify -1 into -1
2.421 * [taylor]: Taking taylor expansion of im in re
2.421 * [backup-simplify]: Simplify im into im
2.421 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.421 * [backup-simplify]: Simplify (* -1 -1) into 1
2.422 * [backup-simplify]: Simplify (+ 1 0) into 1
2.422 * [backup-simplify]: Simplify (sqrt 1) into 1
2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.423 * [backup-simplify]: Simplify (+ 0 0) into 0
2.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.424 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.424 * [taylor]: Taking taylor expansion of re in re
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 1 into 1
2.424 * [backup-simplify]: Simplify (/ 1 1) into 1
2.424 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.424 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.424 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.424 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.424 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.424 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.424 * [taylor]: Taking taylor expansion of -1 in re
2.424 * [backup-simplify]: Simplify -1 into -1
2.424 * [taylor]: Taking taylor expansion of re in re
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 1 into 1
2.425 * [backup-simplify]: Simplify (/ -1 1) into -1
2.425 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.425 * [taylor]: Taking taylor expansion of -1 in re
2.425 * [backup-simplify]: Simplify -1 into -1
2.425 * [taylor]: Taking taylor expansion of re in re
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.425 * [backup-simplify]: Simplify (/ -1 1) into -1
2.425 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.425 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.425 * [taylor]: Taking taylor expansion of -1 in re
2.425 * [backup-simplify]: Simplify -1 into -1
2.425 * [taylor]: Taking taylor expansion of im in re
2.425 * [backup-simplify]: Simplify im into im
2.425 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.425 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.425 * [taylor]: Taking taylor expansion of -1 in re
2.425 * [backup-simplify]: Simplify -1 into -1
2.425 * [taylor]: Taking taylor expansion of im in re
2.425 * [backup-simplify]: Simplify im into im
2.425 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.426 * [backup-simplify]: Simplify (* -1 -1) into 1
2.426 * [backup-simplify]: Simplify (+ 1 0) into 1
2.426 * [backup-simplify]: Simplify (sqrt 1) into 1
2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.428 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.428 * [backup-simplify]: Simplify (+ 0 0) into 0
2.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.428 * [taylor]: Taking taylor expansion of re in re
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify (/ 1 1) into 1
2.429 * [backup-simplify]: Simplify (+ 1 1) into 2
2.429 * [taylor]: Taking taylor expansion of 2 in im
2.429 * [backup-simplify]: Simplify 2 into 2
2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.430 * [backup-simplify]: Simplify (+ 0 0) into 0
2.430 * [taylor]: Taking taylor expansion of 0 in im
2.430 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify 2 into 2
2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.432 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.434 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.434 * [taylor]: Taking taylor expansion of 1/2 in im
2.434 * [backup-simplify]: Simplify 1/2 into 1/2
2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.434 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.434 * [taylor]: Taking taylor expansion of im in im
2.434 * [backup-simplify]: Simplify 0 into 0
2.434 * [backup-simplify]: Simplify 1 into 1
2.434 * [backup-simplify]: Simplify (* 1 1) into 1
2.435 * [backup-simplify]: Simplify (/ 1 1) into 1
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.440 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.440 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.440 * [backup-simplify]: Simplify (+ 0 0) into 0
2.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.442 * [backup-simplify]: Simplify (+ 0 0) into 0
2.442 * [taylor]: Taking taylor expansion of 0 in im
2.442 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
2.445 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1 1)
2.445 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
2.445 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
2.445 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
2.445 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.446 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.446 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.446 * [taylor]: Taking taylor expansion of (* re re) in im
2.446 * [taylor]: Taking taylor expansion of re in im
2.446 * [backup-simplify]: Simplify re into re
2.446 * [taylor]: Taking taylor expansion of re in im
2.446 * [backup-simplify]: Simplify re into re
2.446 * [taylor]: Taking taylor expansion of (* im im) in im
2.446 * [taylor]: Taking taylor expansion of im in im
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 1 into 1
2.446 * [taylor]: Taking taylor expansion of im in im
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 1 into 1
2.446 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.447 * [backup-simplify]: Simplify (* 0 0) into 0
2.447 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.447 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.447 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.448 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.448 * [backup-simplify]: Simplify (+ 0 0) into 0
2.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.448 * [taylor]: Taking taylor expansion of re in im
2.448 * [backup-simplify]: Simplify re into re
2.448 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
2.448 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.449 * [taylor]: Taking taylor expansion of (* re re) in re
2.449 * [taylor]: Taking taylor expansion of re in re
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [taylor]: Taking taylor expansion of re in re
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [taylor]: Taking taylor expansion of (* im im) in re
2.449 * [taylor]: Taking taylor expansion of im in re
2.449 * [backup-simplify]: Simplify im into im
2.449 * [taylor]: Taking taylor expansion of im in re
2.449 * [backup-simplify]: Simplify im into im
2.449 * [backup-simplify]: Simplify (* 0 0) into 0
2.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.450 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.450 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.450 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.451 * [taylor]: Taking taylor expansion of re in re
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify 1 into 1
2.451 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
2.451 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.451 * [taylor]: Taking taylor expansion of (* re re) in re
2.451 * [taylor]: Taking taylor expansion of re in re
2.451 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.452 * [taylor]: Taking taylor expansion of re in re
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.452 * [taylor]: Taking taylor expansion of (* im im) in re
2.452 * [taylor]: Taking taylor expansion of im in re
2.452 * [backup-simplify]: Simplify im into im
2.452 * [taylor]: Taking taylor expansion of im in re
2.452 * [backup-simplify]: Simplify im into im
2.452 * [backup-simplify]: Simplify (* 0 0) into 0
2.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.452 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.452 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.453 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.454 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.454 * [taylor]: Taking taylor expansion of re in re
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 1 into 1
2.454 * [backup-simplify]: Simplify (- 0) into 0
2.454 * [backup-simplify]: Simplify (+ im 0) into im
2.454 * [taylor]: Taking taylor expansion of im in im
2.454 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify (- 1) into -1
2.455 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.455 * [taylor]: Taking taylor expansion of -1 in im
2.455 * [backup-simplify]: Simplify -1 into -1
2.455 * [backup-simplify]: Simplify -1 into -1
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.457 * [backup-simplify]: Simplify (+ 1 0) into 1
2.458 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.458 * [backup-simplify]: Simplify (- 0) into 0
2.458 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.458 * [taylor]: Taking taylor expansion of 1/2 in im
2.458 * [backup-simplify]: Simplify 1/2 into 1/2
2.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.459 * [taylor]: Taking taylor expansion of im in im
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.463 * [backup-simplify]: Simplify (- 0) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.464 * [taylor]: Taking taylor expansion of 0 in im
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
2.466 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
2.466 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
2.466 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
2.466 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.466 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.466 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.466 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.466 * [taylor]: Taking taylor expansion of re in im
2.466 * [backup-simplify]: Simplify re into re
2.466 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.466 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.466 * [taylor]: Taking taylor expansion of re in im
2.466 * [backup-simplify]: Simplify re into re
2.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.467 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.467 * [taylor]: Taking taylor expansion of im in im
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (/ 1 1) into 1
2.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.467 * [taylor]: Taking taylor expansion of im in im
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (/ 1 1) into 1
2.468 * [backup-simplify]: Simplify (* 1 1) into 1
2.468 * [backup-simplify]: Simplify (+ 0 1) into 1
2.469 * [backup-simplify]: Simplify (sqrt 1) into 1
2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.471 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.472 * [taylor]: Taking taylor expansion of re in im
2.472 * [backup-simplify]: Simplify re into re
2.472 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.472 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
2.472 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.472 * [taylor]: Taking taylor expansion of re in re
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (/ 1 1) into 1
2.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.473 * [taylor]: Taking taylor expansion of re in re
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (/ 1 1) into 1
2.473 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.473 * [taylor]: Taking taylor expansion of im in re
2.473 * [backup-simplify]: Simplify im into im
2.473 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.473 * [taylor]: Taking taylor expansion of im in re
2.474 * [backup-simplify]: Simplify im into im
2.474 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.474 * [backup-simplify]: Simplify (* 1 1) into 1
2.474 * [backup-simplify]: Simplify (+ 1 0) into 1
2.475 * [backup-simplify]: Simplify (sqrt 1) into 1
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.478 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.478 * [taylor]: Taking taylor expansion of re in re
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (/ 1 1) into 1
2.479 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
2.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.479 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.479 * [taylor]: Taking taylor expansion of re in re
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.480 * [backup-simplify]: Simplify (/ 1 1) into 1
2.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.480 * [taylor]: Taking taylor expansion of re in re
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [backup-simplify]: Simplify (/ 1 1) into 1
2.480 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.480 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.480 * [taylor]: Taking taylor expansion of im in re
2.480 * [backup-simplify]: Simplify im into im
2.480 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.480 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.480 * [taylor]: Taking taylor expansion of im in re
2.481 * [backup-simplify]: Simplify im into im
2.481 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.481 * [backup-simplify]: Simplify (* 1 1) into 1
2.481 * [backup-simplify]: Simplify (+ 1 0) into 1
2.482 * [backup-simplify]: Simplify (sqrt 1) into 1
2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.485 * [taylor]: Taking taylor expansion of re in re
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [backup-simplify]: Simplify (/ 1 1) into 1
2.486 * [backup-simplify]: Simplify (- 1) into -1
2.486 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.486 * [taylor]: Taking taylor expansion of 0 in im
2.486 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (- 0) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.488 * [taylor]: Taking taylor expansion of 0 in im
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.490 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.491 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.492 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.493 * [backup-simplify]: Simplify (- 0) into 0
2.493 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.493 * [taylor]: Taking taylor expansion of 1/2 in im
2.494 * [backup-simplify]: Simplify 1/2 into 1/2
2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.494 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.494 * [taylor]: Taking taylor expansion of im in im
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (* 1 1) into 1
2.494 * [backup-simplify]: Simplify (/ 1 1) into 1
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.500 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.500 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify (- 0) into 0
2.502 * [backup-simplify]: Simplify (+ 0 0) into 0
2.502 * [taylor]: Taking taylor expansion of 0 in im
2.502 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.505 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.506 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.506 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.506 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.506 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.506 * [taylor]: Taking taylor expansion of -1 in im
2.506 * [backup-simplify]: Simplify -1 into -1
2.506 * [taylor]: Taking taylor expansion of re in im
2.506 * [backup-simplify]: Simplify re into re
2.506 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.506 * [taylor]: Taking taylor expansion of -1 in im
2.506 * [backup-simplify]: Simplify -1 into -1
2.506 * [taylor]: Taking taylor expansion of re in im
2.506 * [backup-simplify]: Simplify re into re
2.506 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.506 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.506 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.506 * [taylor]: Taking taylor expansion of -1 in im
2.506 * [backup-simplify]: Simplify -1 into -1
2.506 * [taylor]: Taking taylor expansion of im in im
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (/ -1 1) into -1
2.507 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.507 * [taylor]: Taking taylor expansion of -1 in im
2.507 * [backup-simplify]: Simplify -1 into -1
2.507 * [taylor]: Taking taylor expansion of im in im
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (/ -1 1) into -1
2.508 * [backup-simplify]: Simplify (* -1 -1) into 1
2.508 * [backup-simplify]: Simplify (+ 0 1) into 1
2.508 * [backup-simplify]: Simplify (sqrt 1) into 1
2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.511 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.512 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.512 * [taylor]: Taking taylor expansion of re in im
2.512 * [backup-simplify]: Simplify re into re
2.512 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.512 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.512 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.512 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.512 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.512 * [taylor]: Taking taylor expansion of -1 in re
2.512 * [backup-simplify]: Simplify -1 into -1
2.512 * [taylor]: Taking taylor expansion of re in re
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (/ -1 1) into -1
2.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.513 * [taylor]: Taking taylor expansion of -1 in re
2.513 * [backup-simplify]: Simplify -1 into -1
2.513 * [taylor]: Taking taylor expansion of re in re
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (/ -1 1) into -1
2.513 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.513 * [taylor]: Taking taylor expansion of -1 in re
2.513 * [backup-simplify]: Simplify -1 into -1
2.513 * [taylor]: Taking taylor expansion of im in re
2.513 * [backup-simplify]: Simplify im into im
2.513 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.513 * [taylor]: Taking taylor expansion of -1 in re
2.513 * [backup-simplify]: Simplify -1 into -1
2.513 * [taylor]: Taking taylor expansion of im in re
2.513 * [backup-simplify]: Simplify im into im
2.513 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.514 * [backup-simplify]: Simplify (* -1 -1) into 1
2.514 * [backup-simplify]: Simplify (+ 1 0) into 1
2.515 * [backup-simplify]: Simplify (sqrt 1) into 1
2.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.518 * [taylor]: Taking taylor expansion of re in re
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (/ 1 1) into 1
2.519 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.519 * [taylor]: Taking taylor expansion of -1 in re
2.519 * [backup-simplify]: Simplify -1 into -1
2.519 * [taylor]: Taking taylor expansion of re in re
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (/ -1 1) into -1
2.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.519 * [taylor]: Taking taylor expansion of -1 in re
2.519 * [backup-simplify]: Simplify -1 into -1
2.519 * [taylor]: Taking taylor expansion of re in re
2.519 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 1 into 1
2.520 * [backup-simplify]: Simplify (/ -1 1) into -1
2.520 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.520 * [taylor]: Taking taylor expansion of -1 in re
2.520 * [backup-simplify]: Simplify -1 into -1
2.520 * [taylor]: Taking taylor expansion of im in re
2.520 * [backup-simplify]: Simplify im into im
2.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.520 * [taylor]: Taking taylor expansion of -1 in re
2.520 * [backup-simplify]: Simplify -1 into -1
2.520 * [taylor]: Taking taylor expansion of im in re
2.520 * [backup-simplify]: Simplify im into im
2.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.521 * [backup-simplify]: Simplify (* -1 -1) into 1
2.521 * [backup-simplify]: Simplify (+ 1 0) into 1
2.521 * [backup-simplify]: Simplify (sqrt 1) into 1
2.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.523 * [backup-simplify]: Simplify (+ 0 0) into 0
2.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.524 * [taylor]: Taking taylor expansion of re in re
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (/ 1 1) into 1
2.524 * [backup-simplify]: Simplify (+ 1 1) into 2
2.524 * [taylor]: Taking taylor expansion of 2 in im
2.524 * [backup-simplify]: Simplify 2 into 2
2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (+ 0 0) into 0
2.525 * [taylor]: Taking taylor expansion of 0 in im
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 2 into 2
2.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.527 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.527 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.528 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.529 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.529 * [taylor]: Taking taylor expansion of 1/2 in im
2.529 * [backup-simplify]: Simplify 1/2 into 1/2
2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.529 * [taylor]: Taking taylor expansion of im in im
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 1 into 1
2.529 * [backup-simplify]: Simplify (* 1 1) into 1
2.529 * [backup-simplify]: Simplify (/ 1 1) into 1
2.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.531 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.536 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.536 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.536 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.537 * [backup-simplify]: Simplify (+ 0 0) into 0
2.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.538 * [backup-simplify]: Simplify (+ 0 0) into 0
2.538 * [taylor]: Taking taylor expansion of 0 in im
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
2.540 * * * [progress]: simplifying candidates
2.542 * [simplify]: Simplifying:
  (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (+ 1 1)
  (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))))
  (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))
  (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))))
  (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))
  (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))
  (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))
  (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))))
  (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))
  (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re))))
  (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* 1 1)
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))))
  (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))
  (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (- (hypot re im) re)) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))))
  (* (sqrt (- (hypot re im) re)) (sqrt 1))
  (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re))))
  (* (sqrt (- (hypot re im) re)) 1)
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))
  (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re)))
  (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)
  (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)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
2.543 * * [simplify]: iteration 0: 128 enodes
2.580 * * [simplify]: iteration 1: 257 enodes
2.658 * * [simplify]: iteration 2: 954 enodes
3.400 * * [simplify]: iteration complete: 5000 enodes
3.400 * * [simplify]: Extracting #0: cost 36 inf + 0
3.404 * * [simplify]: Extracting #1: cost 1090 inf + 3
3.414 * * [simplify]: Extracting #2: cost 1727 inf + 2380
3.425 * * [simplify]: Extracting #3: cost 1554 inf + 37257
3.460 * * [simplify]: Extracting #4: cost 816 inf + 197972
3.545 * * [simplify]: Extracting #5: cost 45 inf + 391630
3.678 * * [simplify]: Extracting #6: cost 0 inf + 403913
3.812 * [simplify]: Simplified to:
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  1
  1
  2
  1
  1
  (* (- (hypot re im) re) (- (hypot re im) re))
  (- (hypot re im) re)
  (* (- (hypot re im) re) (- (hypot re im) re))
  2
  (log (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (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))
  (* (- (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)))
  (* (sqrt (* (+ (hypot re im) re) (- (hypot re im) re))) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))))
  (* (sqrt (fma re (+ re (hypot re im)) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (sqrt (* (+ (hypot re im) re) (- (hypot re im) re))) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))))
  (* (sqrt (fma re (+ re (hypot re im)) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (+ (hypot re im) re) (- (hypot re im) re))
  (+ re (hypot re im))
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  1
  (- (hypot re im) re)
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  1
  (- (hypot re im) re)
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  2
  1
  (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (sqrt (- (hypot re im) re)))
  (* (sqrt (- (hypot re im) re)) (fabs (cbrt (- (hypot re im) re))))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (+ (sqrt re) (sqrt (hypot re im)))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))))
  (* (sqrt (- (hypot re im) re)) (sqrt (* (+ (hypot re im) re) (- (hypot re im) re))))
  (* (sqrt (- (hypot re im) re)) (sqrt (- (* (* (hypot re im) (hypot re im)) (hypot re im)) (* re (* re re)))))
  (* (sqrt (- (hypot re im) re)) (sqrt (* (+ (hypot re im) re) (- (hypot re im) re))))
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (fma re -1 re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (fma re -1 re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (fma re -1 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)
  (- (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)
  (- 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) re) (- (hypot re im) re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (fma re -1 re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (fma re -1 re)
  (- (* (cbrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) re)
  (fma re -1 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)
  (- (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)
  (- 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) re) (- (hypot re im) re))
  (+ re (hypot re im))
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
3.837 * * * [progress]: adding candidates to table
4.557 * * [progress]: iteration 3 / 4
4.557 * * * [progress]: picking best candidate
4.575 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))>
4.575 * * * [progress]: localizing error
4.604 * * * [progress]: generating rewritten candidates
4.604 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1)
4.605 * * * [progress]: generating series expansions
4.605 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1)
4.605 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
4.605 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
4.605 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
4.606 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
4.606 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
4.606 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
4.606 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.606 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.606 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.606 * [taylor]: Taking taylor expansion of (* re re) in im
4.606 * [taylor]: Taking taylor expansion of re in im
4.606 * [backup-simplify]: Simplify re into re
4.606 * [taylor]: Taking taylor expansion of re in im
4.606 * [backup-simplify]: Simplify re into re
4.606 * [taylor]: Taking taylor expansion of (* im im) in im
4.606 * [taylor]: Taking taylor expansion of im in im
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [taylor]: Taking taylor expansion of im in im
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.607 * [backup-simplify]: Simplify (* 0 0) into 0
4.607 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.607 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.607 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.608 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.608 * [backup-simplify]: Simplify (+ 0 0) into 0
4.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.608 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
4.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
4.608 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
4.609 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.609 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.609 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.609 * [taylor]: Taking taylor expansion of (* re re) in im
4.609 * [taylor]: Taking taylor expansion of re in im
4.609 * [backup-simplify]: Simplify re into re
4.609 * [taylor]: Taking taylor expansion of re in im
4.609 * [backup-simplify]: Simplify re into re
4.609 * [taylor]: Taking taylor expansion of (* im im) in im
4.609 * [taylor]: Taking taylor expansion of im in im
4.609 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify 1 into 1
4.609 * [taylor]: Taking taylor expansion of im in im
4.609 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify 1 into 1
4.609 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.609 * [backup-simplify]: Simplify (* 0 0) into 0
4.610 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.610 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.610 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.610 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.611 * [backup-simplify]: Simplify (+ 0 0) into 0
4.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.611 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
4.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
4.611 * [taylor]: Taking taylor expansion of (- re) in im
4.611 * [taylor]: Taking taylor expansion of re in im
4.611 * [backup-simplify]: Simplify re into re
4.611 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
4.611 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
4.611 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
4.612 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.612 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.612 * [taylor]: Taking taylor expansion of (* re re) in re
4.612 * [taylor]: Taking taylor expansion of re in re
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 1 into 1
4.612 * [taylor]: Taking taylor expansion of re in re
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 1 into 1
4.612 * [taylor]: Taking taylor expansion of (* im im) in re
4.612 * [taylor]: Taking taylor expansion of im in re
4.612 * [backup-simplify]: Simplify im into im
4.612 * [taylor]: Taking taylor expansion of im in re
4.612 * [backup-simplify]: Simplify im into im
4.612 * [backup-simplify]: Simplify (* 0 0) into 0
4.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.614 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.614 * [backup-simplify]: Simplify (+ 0 0) into 0
4.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.614 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.614 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.614 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.615 * [taylor]: Taking taylor expansion of (* re re) in re
4.615 * [taylor]: Taking taylor expansion of re in re
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 1 into 1
4.615 * [taylor]: Taking taylor expansion of re in re
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 1 into 1
4.615 * [taylor]: Taking taylor expansion of (* im im) in re
4.615 * [taylor]: Taking taylor expansion of im in re
4.615 * [backup-simplify]: Simplify im into im
4.615 * [taylor]: Taking taylor expansion of im in re
4.615 * [backup-simplify]: Simplify im into im
4.615 * [backup-simplify]: Simplify (* 0 0) into 0
4.615 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.616 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.616 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.616 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.616 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.617 * [backup-simplify]: Simplify (+ 0 0) into 0
4.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.617 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.617 * [taylor]: Taking taylor expansion of (- re) in re
4.617 * [taylor]: Taking taylor expansion of re in re
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 1 into 1
4.617 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
4.617 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
4.617 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
4.617 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.617 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.618 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.618 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.618 * [taylor]: Taking taylor expansion of (* re re) in re
4.618 * [taylor]: Taking taylor expansion of re in re
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 1 into 1
4.618 * [taylor]: Taking taylor expansion of re in re
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 1 into 1
4.618 * [taylor]: Taking taylor expansion of (* im im) in re
4.618 * [taylor]: Taking taylor expansion of im in re
4.618 * [backup-simplify]: Simplify im into im
4.618 * [taylor]: Taking taylor expansion of im in re
4.618 * [backup-simplify]: Simplify im into im
4.618 * [backup-simplify]: Simplify (* 0 0) into 0
4.618 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.618 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.619 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.619 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.620 * [backup-simplify]: Simplify (+ 0 0) into 0
4.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.620 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.620 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.620 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.620 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.620 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.620 * [taylor]: Taking taylor expansion of (* re re) in re
4.620 * [taylor]: Taking taylor expansion of re in re
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 1 into 1
4.620 * [taylor]: Taking taylor expansion of re in re
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 1 into 1
4.620 * [taylor]: Taking taylor expansion of (* im im) in re
4.620 * [taylor]: Taking taylor expansion of im in re
4.620 * [backup-simplify]: Simplify im into im
4.620 * [taylor]: Taking taylor expansion of im in re
4.620 * [backup-simplify]: Simplify im into im
4.621 * [backup-simplify]: Simplify (* 0 0) into 0
4.621 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.621 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.621 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.622 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.622 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.622 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.622 * [taylor]: Taking taylor expansion of (- re) in re
4.622 * [taylor]: Taking taylor expansion of re in re
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
4.623 * [backup-simplify]: Simplify (- 0) into 0
4.623 * [backup-simplify]: Simplify (+ im 0) into im
4.623 * [taylor]: Taking taylor expansion of im in im
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
4.624 * [backup-simplify]: Simplify (- 1) into -1
4.624 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.624 * [taylor]: Taking taylor expansion of -1 in im
4.624 * [backup-simplify]: Simplify -1 into -1
4.624 * [backup-simplify]: Simplify -1 into -1
4.624 * [backup-simplify]: Simplify 1 into 1
4.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.626 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.626 * [backup-simplify]: Simplify (+ 1 0) into 1
4.627 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.628 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
4.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.629 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.630 * [backup-simplify]: Simplify (+ 1 0) into 1
4.630 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.631 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
4.632 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
4.633 * [backup-simplify]: Simplify (- 0) into 0
4.633 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
4.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.633 * [taylor]: Taking taylor expansion of 1/2 in im
4.633 * [backup-simplify]: Simplify 1/2 into 1/2
4.633 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.633 * [taylor]: Taking taylor expansion of im in im
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 1 into 1
4.633 * [backup-simplify]: Simplify (/ 1 1) into 1
4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.635 * [backup-simplify]: Simplify 0 into 0
4.635 * [backup-simplify]: Simplify 0 into 0
4.635 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.636 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.637 * [backup-simplify]: Simplify (+ 0 0) into 0
4.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
4.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.639 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.639 * [backup-simplify]: Simplify (+ 0 0) into 0
4.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
4.641 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
4.641 * [backup-simplify]: Simplify (- 0) into 0
4.641 * [backup-simplify]: Simplify (+ 0 0) into 0
4.641 * [taylor]: Taking taylor expansion of 0 in im
4.641 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.644 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
4.644 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
4.644 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
4.644 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
4.644 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
4.644 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
4.644 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.644 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.644 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.644 * [taylor]: Taking taylor expansion of re in im
4.644 * [backup-simplify]: Simplify re into re
4.644 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.644 * [taylor]: Taking taylor expansion of re in im
4.644 * [backup-simplify]: Simplify re into re
4.645 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.645 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.645 * [taylor]: Taking taylor expansion of im in im
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 1 into 1
4.645 * [backup-simplify]: Simplify (/ 1 1) into 1
4.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.645 * [taylor]: Taking taylor expansion of im in im
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (/ 1 1) into 1
4.646 * [backup-simplify]: Simplify (* 1 1) into 1
4.647 * [backup-simplify]: Simplify (+ 0 1) into 1
4.648 * [backup-simplify]: Simplify (sqrt 1) into 1
4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.650 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.652 * [backup-simplify]: Simplify (sqrt 0) into 0
4.653 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.654 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
4.654 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.654 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.654 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.654 * [taylor]: Taking taylor expansion of re in im
4.654 * [backup-simplify]: Simplify re into re
4.654 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.654 * [taylor]: Taking taylor expansion of re in im
4.654 * [backup-simplify]: Simplify re into re
4.654 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.654 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.654 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.654 * [taylor]: Taking taylor expansion of im in im
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 1 into 1
4.655 * [backup-simplify]: Simplify (/ 1 1) into 1
4.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.655 * [taylor]: Taking taylor expansion of im in im
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 1 into 1
4.655 * [backup-simplify]: Simplify (/ 1 1) into 1
4.656 * [backup-simplify]: Simplify (* 1 1) into 1
4.656 * [backup-simplify]: Simplify (+ 0 1) into 1
4.657 * [backup-simplify]: Simplify (sqrt 1) into 1
4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.661 * [backup-simplify]: Simplify (sqrt 0) into 0
4.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.662 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
4.662 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.662 * [taylor]: Taking taylor expansion of re in im
4.662 * [backup-simplify]: Simplify re into re
4.662 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.662 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
4.663 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
4.663 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
4.663 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
4.663 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.663 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.663 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.663 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.663 * [taylor]: Taking taylor expansion of re in re
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 1 into 1
4.663 * [backup-simplify]: Simplify (/ 1 1) into 1
4.663 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.663 * [taylor]: Taking taylor expansion of re in re
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 1 into 1
4.664 * [backup-simplify]: Simplify (/ 1 1) into 1
4.664 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.664 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.664 * [taylor]: Taking taylor expansion of im in re
4.664 * [backup-simplify]: Simplify im into im
4.664 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.664 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.664 * [taylor]: Taking taylor expansion of im in re
4.664 * [backup-simplify]: Simplify im into im
4.664 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.665 * [backup-simplify]: Simplify (* 1 1) into 1
4.665 * [backup-simplify]: Simplify (+ 1 0) into 1
4.666 * [backup-simplify]: Simplify (sqrt 1) into 1
4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.668 * [backup-simplify]: Simplify (+ 0 0) into 0
4.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.669 * [backup-simplify]: Simplify (sqrt 0) into 0
4.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.670 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
4.670 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.671 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.671 * [taylor]: Taking taylor expansion of re in re
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [backup-simplify]: Simplify (/ 1 1) into 1
4.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.671 * [taylor]: Taking taylor expansion of re in re
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (/ 1 1) into 1
4.672 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.672 * [taylor]: Taking taylor expansion of im in re
4.672 * [backup-simplify]: Simplify im into im
4.672 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.672 * [taylor]: Taking taylor expansion of im in re
4.672 * [backup-simplify]: Simplify im into im
4.672 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.673 * [backup-simplify]: Simplify (+ 1 0) into 1
4.673 * [backup-simplify]: Simplify (sqrt 1) into 1
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.676 * [backup-simplify]: Simplify (+ 0 0) into 0
4.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.677 * [backup-simplify]: Simplify (sqrt 0) into 0
4.678 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.679 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
4.679 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.679 * [taylor]: Taking taylor expansion of re in re
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 1 into 1
4.679 * [backup-simplify]: Simplify (/ 1 1) into 1
4.679 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
4.679 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
4.679 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
4.679 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
4.679 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.680 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.680 * [taylor]: Taking taylor expansion of re in re
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 1 into 1
4.680 * [backup-simplify]: Simplify (/ 1 1) into 1
4.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.680 * [taylor]: Taking taylor expansion of re in re
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 1 into 1
4.681 * [backup-simplify]: Simplify (/ 1 1) into 1
4.681 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.681 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.681 * [taylor]: Taking taylor expansion of im in re
4.681 * [backup-simplify]: Simplify im into im
4.681 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.681 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.681 * [taylor]: Taking taylor expansion of im in re
4.681 * [backup-simplify]: Simplify im into im
4.681 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.681 * [backup-simplify]: Simplify (* 1 1) into 1
4.682 * [backup-simplify]: Simplify (+ 1 0) into 1
4.682 * [backup-simplify]: Simplify (sqrt 1) into 1
4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.686 * [backup-simplify]: Simplify (sqrt 0) into 0
4.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.687 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
4.687 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.687 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.688 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.688 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.688 * [taylor]: Taking taylor expansion of re in re
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (/ 1 1) into 1
4.688 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.688 * [taylor]: Taking taylor expansion of re in re
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify (/ 1 1) into 1
4.689 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.689 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.689 * [taylor]: Taking taylor expansion of im in re
4.689 * [backup-simplify]: Simplify im into im
4.689 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.689 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.689 * [taylor]: Taking taylor expansion of im in re
4.689 * [backup-simplify]: Simplify im into im
4.689 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.689 * [backup-simplify]: Simplify (* 1 1) into 1
4.690 * [backup-simplify]: Simplify (+ 1 0) into 1
4.690 * [backup-simplify]: Simplify (sqrt 1) into 1
4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.702 * [backup-simplify]: Simplify (+ 0 0) into 0
4.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.703 * [backup-simplify]: Simplify (sqrt 0) into 0
4.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.704 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
4.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.705 * [taylor]: Taking taylor expansion of re in re
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 1 into 1
4.705 * [backup-simplify]: Simplify (/ 1 1) into 1
4.705 * [backup-simplify]: Simplify (* 0 0) into 0
4.706 * [backup-simplify]: Simplify (+ 0 0) into 0
4.706 * [taylor]: Taking taylor expansion of 0 in im
4.706 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
4.707 * [backup-simplify]: Simplify (- 1) into -1
4.707 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.707 * [taylor]: Taking taylor expansion of -1 in im
4.707 * [backup-simplify]: Simplify -1 into -1
4.711 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.714 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.717 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.718 * [backup-simplify]: Simplify (- 0) into 0
4.719 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
4.719 * [taylor]: Taking taylor expansion of (- +nan.0) in im
4.719 * [taylor]: Taking taylor expansion of +nan.0 in im
4.719 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.719 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.722 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.722 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.723 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.725 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.728 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.728 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.730 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.732 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
4.733 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.734 * [backup-simplify]: Simplify (- 0) into 0
4.735 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
4.735 * [taylor]: Taking taylor expansion of (- +nan.0) in im
4.735 * [taylor]: Taking taylor expansion of +nan.0 in im
4.735 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.735 * [backup-simplify]: Simplify -1 into -1
4.735 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.739 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.739 * [backup-simplify]: Simplify (+ 0 0) into 0
4.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.741 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.745 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.747 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.749 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.751 * [backup-simplify]: Simplify (- 0) into 0
4.751 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.752 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
4.752 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
4.752 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
4.752 * [taylor]: Taking taylor expansion of +nan.0 in im
4.752 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.752 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.752 * [taylor]: Taking taylor expansion of im in im
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.752 * [backup-simplify]: Simplify (* 1 1) into 1
4.753 * [backup-simplify]: Simplify (/ 1 1) into 1
4.753 * [taylor]: Taking taylor expansion of (- +nan.0) in im
4.753 * [taylor]: Taking taylor expansion of +nan.0 in im
4.753 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.753 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
4.753 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
4.754 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
4.755 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.755 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.756 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.757 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
4.758 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
4.758 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
4.758 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
4.758 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
4.758 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
4.758 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
4.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.758 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.758 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.758 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.758 * [taylor]: Taking taylor expansion of -1 in im
4.758 * [backup-simplify]: Simplify -1 into -1
4.758 * [taylor]: Taking taylor expansion of re in im
4.758 * [backup-simplify]: Simplify re into re
4.758 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.758 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.758 * [taylor]: Taking taylor expansion of -1 in im
4.758 * [backup-simplify]: Simplify -1 into -1
4.758 * [taylor]: Taking taylor expansion of re in im
4.758 * [backup-simplify]: Simplify re into re
4.758 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.758 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.759 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.759 * [taylor]: Taking taylor expansion of -1 in im
4.759 * [backup-simplify]: Simplify -1 into -1
4.759 * [taylor]: Taking taylor expansion of im in im
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify (/ -1 1) into -1
4.759 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.759 * [taylor]: Taking taylor expansion of -1 in im
4.759 * [backup-simplify]: Simplify -1 into -1
4.759 * [taylor]: Taking taylor expansion of im in im
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.760 * [backup-simplify]: Simplify (/ -1 1) into -1
4.760 * [backup-simplify]: Simplify (* -1 -1) into 1
4.761 * [backup-simplify]: Simplify (+ 0 1) into 1
4.761 * [backup-simplify]: Simplify (sqrt 1) into 1
4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.764 * [backup-simplify]: Simplify (+ 0 0) into 0
4.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.765 * [backup-simplify]: Simplify (sqrt 0) into 0
4.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.767 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
4.767 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.767 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.767 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.767 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.767 * [taylor]: Taking taylor expansion of -1 in im
4.767 * [backup-simplify]: Simplify -1 into -1
4.767 * [taylor]: Taking taylor expansion of re in im
4.767 * [backup-simplify]: Simplify re into re
4.767 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.767 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.768 * [taylor]: Taking taylor expansion of -1 in im
4.768 * [backup-simplify]: Simplify -1 into -1
4.768 * [taylor]: Taking taylor expansion of re in im
4.768 * [backup-simplify]: Simplify re into re
4.768 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.768 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.768 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.768 * [taylor]: Taking taylor expansion of -1 in im
4.768 * [backup-simplify]: Simplify -1 into -1
4.768 * [taylor]: Taking taylor expansion of im in im
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.769 * [backup-simplify]: Simplify (/ -1 1) into -1
4.769 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.769 * [taylor]: Taking taylor expansion of -1 in im
4.769 * [backup-simplify]: Simplify -1 into -1
4.769 * [taylor]: Taking taylor expansion of im in im
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 1 into 1
4.770 * [backup-simplify]: Simplify (/ -1 1) into -1
4.770 * [backup-simplify]: Simplify (* -1 -1) into 1
4.770 * [backup-simplify]: Simplify (+ 0 1) into 1
4.771 * [backup-simplify]: Simplify (sqrt 1) into 1
4.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.773 * [backup-simplify]: Simplify (sqrt 0) into 0
4.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.774 * [taylor]: Taking taylor expansion of re in im
4.774 * [backup-simplify]: Simplify re into re
4.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.774 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
4.774 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
4.774 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
4.774 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
4.774 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.775 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.775 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.775 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.775 * [taylor]: Taking taylor expansion of -1 in re
4.775 * [backup-simplify]: Simplify -1 into -1
4.775 * [taylor]: Taking taylor expansion of re in re
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 1 into 1
4.775 * [backup-simplify]: Simplify (/ -1 1) into -1
4.775 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.775 * [taylor]: Taking taylor expansion of -1 in re
4.775 * [backup-simplify]: Simplify -1 into -1
4.775 * [taylor]: Taking taylor expansion of re in re
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 1 into 1
4.775 * [backup-simplify]: Simplify (/ -1 1) into -1
4.775 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.775 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.775 * [taylor]: Taking taylor expansion of -1 in re
4.775 * [backup-simplify]: Simplify -1 into -1
4.775 * [taylor]: Taking taylor expansion of im in re
4.775 * [backup-simplify]: Simplify im into im
4.775 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.775 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.775 * [taylor]: Taking taylor expansion of -1 in re
4.776 * [backup-simplify]: Simplify -1 into -1
4.776 * [taylor]: Taking taylor expansion of im in re
4.776 * [backup-simplify]: Simplify im into im
4.776 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.776 * [backup-simplify]: Simplify (* -1 -1) into 1
4.776 * [backup-simplify]: Simplify (+ 1 0) into 1
4.776 * [backup-simplify]: Simplify (sqrt 1) into 1
4.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.778 * [backup-simplify]: Simplify (+ 0 0) into 0
4.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.779 * [backup-simplify]: Simplify (sqrt 0) into 0
4.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.780 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
4.780 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.780 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.780 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.780 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.780 * [taylor]: Taking taylor expansion of -1 in re
4.780 * [backup-simplify]: Simplify -1 into -1
4.780 * [taylor]: Taking taylor expansion of re in re
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.780 * [backup-simplify]: Simplify (/ -1 1) into -1
4.780 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.780 * [taylor]: Taking taylor expansion of -1 in re
4.780 * [backup-simplify]: Simplify -1 into -1
4.780 * [taylor]: Taking taylor expansion of re in re
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.780 * [backup-simplify]: Simplify (/ -1 1) into -1
4.780 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.781 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.781 * [taylor]: Taking taylor expansion of -1 in re
4.781 * [backup-simplify]: Simplify -1 into -1
4.781 * [taylor]: Taking taylor expansion of im in re
4.781 * [backup-simplify]: Simplify im into im
4.781 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.781 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.781 * [taylor]: Taking taylor expansion of -1 in re
4.781 * [backup-simplify]: Simplify -1 into -1
4.781 * [taylor]: Taking taylor expansion of im in re
4.781 * [backup-simplify]: Simplify im into im
4.781 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.781 * [backup-simplify]: Simplify (* -1 -1) into 1
4.781 * [backup-simplify]: Simplify (+ 1 0) into 1
4.781 * [backup-simplify]: Simplify (sqrt 1) into 1
4.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.783 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.783 * [backup-simplify]: Simplify (+ 0 0) into 0
4.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.784 * [backup-simplify]: Simplify (sqrt 0) into 0
4.785 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.785 * [taylor]: Taking taylor expansion of re in re
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [backup-simplify]: Simplify (/ 1 1) into 1
4.785 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
4.785 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
4.785 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
4.785 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
4.785 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.785 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.785 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.785 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.785 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.785 * [taylor]: Taking taylor expansion of -1 in re
4.785 * [backup-simplify]: Simplify -1 into -1
4.785 * [taylor]: Taking taylor expansion of re in re
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.786 * [backup-simplify]: Simplify (/ -1 1) into -1
4.786 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.786 * [taylor]: Taking taylor expansion of -1 in re
4.786 * [backup-simplify]: Simplify -1 into -1
4.786 * [taylor]: Taking taylor expansion of re in re
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.786 * [backup-simplify]: Simplify (/ -1 1) into -1
4.786 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.786 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.786 * [taylor]: Taking taylor expansion of -1 in re
4.786 * [backup-simplify]: Simplify -1 into -1
4.786 * [taylor]: Taking taylor expansion of im in re
4.786 * [backup-simplify]: Simplify im into im
4.786 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.786 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.786 * [taylor]: Taking taylor expansion of -1 in re
4.786 * [backup-simplify]: Simplify -1 into -1
4.786 * [taylor]: Taking taylor expansion of im in re
4.786 * [backup-simplify]: Simplify im into im
4.786 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.787 * [backup-simplify]: Simplify (* -1 -1) into 1
4.787 * [backup-simplify]: Simplify (+ 1 0) into 1
4.787 * [backup-simplify]: Simplify (sqrt 1) into 1
4.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.789 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.789 * [backup-simplify]: Simplify (+ 0 0) into 0
4.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.790 * [backup-simplify]: Simplify (sqrt 0) into 0
4.790 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.790 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
4.790 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.791 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.791 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.791 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.791 * [taylor]: Taking taylor expansion of -1 in re
4.791 * [backup-simplify]: Simplify -1 into -1
4.791 * [taylor]: Taking taylor expansion of re in re
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [backup-simplify]: Simplify (/ -1 1) into -1
4.791 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.791 * [taylor]: Taking taylor expansion of -1 in re
4.791 * [backup-simplify]: Simplify -1 into -1
4.791 * [taylor]: Taking taylor expansion of re in re
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [backup-simplify]: Simplify (/ -1 1) into -1
4.791 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.791 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.791 * [taylor]: Taking taylor expansion of -1 in re
4.791 * [backup-simplify]: Simplify -1 into -1
4.791 * [taylor]: Taking taylor expansion of im in re
4.791 * [backup-simplify]: Simplify im into im
4.791 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.792 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.792 * [taylor]: Taking taylor expansion of -1 in re
4.792 * [backup-simplify]: Simplify -1 into -1
4.792 * [taylor]: Taking taylor expansion of im in re
4.792 * [backup-simplify]: Simplify im into im
4.792 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.792 * [backup-simplify]: Simplify (* -1 -1) into 1
4.792 * [backup-simplify]: Simplify (+ 1 0) into 1
4.792 * [backup-simplify]: Simplify (sqrt 1) into 1
4.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.794 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.794 * [backup-simplify]: Simplify (+ 0 0) into 0
4.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.795 * [backup-simplify]: Simplify (sqrt 0) into 0
4.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.796 * [taylor]: Taking taylor expansion of re in re
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (/ 1 1) into 1
4.796 * [backup-simplify]: Simplify (* 0 0) into 0
4.796 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [taylor]: Taking taylor expansion of 0 in im
4.796 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
4.797 * [backup-simplify]: Simplify (+ 0 1) into 1
4.797 * [taylor]: Taking taylor expansion of 1 in im
4.797 * [backup-simplify]: Simplify 1 into 1
4.800 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.803 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.806 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.808 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
4.808 * [taylor]: Taking taylor expansion of (- +nan.0) in im
4.808 * [taylor]: Taking taylor expansion of +nan.0 in im
4.808 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.808 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.811 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.811 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.812 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.813 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
4.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.815 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.815 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.815 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.816 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.817 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
4.818 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.819 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
4.819 * [taylor]: Taking taylor expansion of (- +nan.0) in im
4.819 * [taylor]: Taking taylor expansion of +nan.0 in im
4.819 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.819 * [backup-simplify]: Simplify 1 into 1
4.819 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.821 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.821 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.821 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.821 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.821 * [backup-simplify]: Simplify (+ 0 0) into 0
4.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.823 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.829 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.829 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.829 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.830 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.830 * [backup-simplify]: Simplify (+ 0 0) into 0
4.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.833 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.834 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
4.834 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
4.834 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
4.834 * [taylor]: Taking taylor expansion of +nan.0 in im
4.834 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.834 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.834 * [taylor]: Taking taylor expansion of im in im
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify 1 into 1
4.834 * [backup-simplify]: Simplify (* 1 1) into 1
4.834 * [backup-simplify]: Simplify (/ 1 1) into 1
4.834 * [taylor]: Taking taylor expansion of (- +nan.0) in im
4.834 * [taylor]: Taking taylor expansion of +nan.0 in im
4.834 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.835 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
4.835 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
4.835 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
4.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.837 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
4.837 * * * [progress]: simplifying candidates
4.837 * [simplify]: Simplifying:
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
4.838 * * [simplify]: iteration 0: 28 enodes
4.842 * * [simplify]: iteration 1: 52 enodes
4.865 * * [simplify]: iteration 2: 178 enodes
4.972 * * [simplify]: iteration 3: 917 enodes
5.570 * * [simplify]: iteration complete: 5001 enodes
5.570 * * [simplify]: Extracting #0: cost 11 inf + 0
5.571 * * [simplify]: Extracting #1: cost 300 inf + 0
5.582 * * [simplify]: Extracting #2: cost 1402 inf + 3649
5.603 * * [simplify]: Extracting #3: cost 820 inf + 90775
5.651 * * [simplify]: Extracting #4: cost 45 inf + 185664
5.734 * * [simplify]: Extracting #5: cost 0 inf + 191062
5.807 * [simplify]: Simplified to:
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (hypot re im)
  (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))
  (- im re)
  (- (* (/ im re) (* (/ im re) +nan.0)) (+ +nan.0 re))
  (- (* (/ im re) (* (/ im re) +nan.0)) (+ +nan.0 re))
5.809 * * * [progress]: adding candidates to table
5.925 * * [progress]: iteration 4 / 4
5.925 * * * [progress]: picking best candidate
5.948 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>
5.948 * * * [progress]: localizing error
5.968 * * * [progress]: generating rewritten candidates
5.968 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2 1)
5.968 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 1 1)
5.969 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1)
5.994 * * * [progress]: generating series expansions
5.994 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2 1)
5.995 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
5.995 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
5.995 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
5.995 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
5.995 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
5.995 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.995 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.995 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.995 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.995 * [taylor]: Taking taylor expansion of (* re re) in im
5.995 * [taylor]: Taking taylor expansion of re in im
5.995 * [backup-simplify]: Simplify re into re
5.995 * [taylor]: Taking taylor expansion of re in im
5.995 * [backup-simplify]: Simplify re into re
5.995 * [taylor]: Taking taylor expansion of (* im im) in im
5.995 * [taylor]: Taking taylor expansion of im in im
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.995 * [taylor]: Taking taylor expansion of im in im
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.995 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.996 * [backup-simplify]: Simplify (* 0 0) into 0
5.996 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.997 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.997 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.997 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.998 * [backup-simplify]: Simplify (+ 0 0) into 0
5.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.998 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
5.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
5.998 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.998 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.998 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.998 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.998 * [taylor]: Taking taylor expansion of (* re re) in im
5.998 * [taylor]: Taking taylor expansion of re in im
5.998 * [backup-simplify]: Simplify re into re
5.998 * [taylor]: Taking taylor expansion of re in im
5.998 * [backup-simplify]: Simplify re into re
5.998 * [taylor]: Taking taylor expansion of (* im im) in im
5.998 * [taylor]: Taking taylor expansion of im in im
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.998 * [taylor]: Taking taylor expansion of im in im
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.998 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.999 * [backup-simplify]: Simplify (* 0 0) into 0
5.999 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.999 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.999 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.000 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.000 * [backup-simplify]: Simplify (+ 0 0) into 0
6.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.001 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.001 * [taylor]: Taking taylor expansion of (- re) in im
6.001 * [taylor]: Taking taylor expansion of re in im
6.001 * [backup-simplify]: Simplify re into re
6.001 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
6.001 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.001 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
6.001 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.001 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.001 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.001 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.001 * [taylor]: Taking taylor expansion of (* re re) in re
6.001 * [taylor]: Taking taylor expansion of re in re
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 1 into 1
6.001 * [taylor]: Taking taylor expansion of re in re
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 1 into 1
6.001 * [taylor]: Taking taylor expansion of (* im im) in re
6.001 * [taylor]: Taking taylor expansion of im in re
6.001 * [backup-simplify]: Simplify im into im
6.001 * [taylor]: Taking taylor expansion of im in re
6.001 * [backup-simplify]: Simplify im into im
6.002 * [backup-simplify]: Simplify (* 0 0) into 0
6.002 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.002 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.002 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.002 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.002 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.003 * [backup-simplify]: Simplify (+ 0 0) into 0
6.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.003 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.003 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.003 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.003 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.003 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.003 * [taylor]: Taking taylor expansion of (* re re) in re
6.003 * [taylor]: Taking taylor expansion of re in re
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 1 into 1
6.003 * [taylor]: Taking taylor expansion of re in re
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 1 into 1
6.003 * [taylor]: Taking taylor expansion of (* im im) in re
6.003 * [taylor]: Taking taylor expansion of im in re
6.003 * [backup-simplify]: Simplify im into im
6.003 * [taylor]: Taking taylor expansion of im in re
6.003 * [backup-simplify]: Simplify im into im
6.003 * [backup-simplify]: Simplify (* 0 0) into 0
6.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.004 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.004 * [backup-simplify]: Simplify (+ 0 0) into 0
6.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.004 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.005 * [taylor]: Taking taylor expansion of (- re) in re
6.005 * [taylor]: Taking taylor expansion of re in re
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
6.005 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.005 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
6.005 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.005 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.005 * [taylor]: Taking taylor expansion of (* re re) in re
6.005 * [taylor]: Taking taylor expansion of re in re
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [taylor]: Taking taylor expansion of re in re
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [taylor]: Taking taylor expansion of (* im im) in re
6.005 * [taylor]: Taking taylor expansion of im in re
6.005 * [backup-simplify]: Simplify im into im
6.005 * [taylor]: Taking taylor expansion of im in re
6.005 * [backup-simplify]: Simplify im into im
6.005 * [backup-simplify]: Simplify (* 0 0) into 0
6.005 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.005 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.005 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.006 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.006 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.006 * [backup-simplify]: Simplify (+ 0 0) into 0
6.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.006 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.006 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.006 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.006 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.007 * [taylor]: Taking taylor expansion of (* re re) in re
6.007 * [taylor]: Taking taylor expansion of re in re
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 1 into 1
6.007 * [taylor]: Taking taylor expansion of re in re
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 1 into 1
6.007 * [taylor]: Taking taylor expansion of (* im im) in re
6.007 * [taylor]: Taking taylor expansion of im in re
6.007 * [backup-simplify]: Simplify im into im
6.007 * [taylor]: Taking taylor expansion of im in re
6.007 * [backup-simplify]: Simplify im into im
6.007 * [backup-simplify]: Simplify (* 0 0) into 0
6.007 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.007 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.007 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.008 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.008 * [backup-simplify]: Simplify (+ 0 0) into 0
6.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.008 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.008 * [taylor]: Taking taylor expansion of (- re) in re
6.008 * [taylor]: Taking taylor expansion of re in re
6.008 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 1 into 1
6.008 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
6.008 * [backup-simplify]: Simplify (- 0) into 0
6.008 * [backup-simplify]: Simplify (+ im 0) into im
6.009 * [taylor]: Taking taylor expansion of im in im
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 1 into 1
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
6.009 * [backup-simplify]: Simplify (- 1) into -1
6.009 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.009 * [taylor]: Taking taylor expansion of -1 in im
6.009 * [backup-simplify]: Simplify -1 into -1
6.009 * [backup-simplify]: Simplify -1 into -1
6.010 * [backup-simplify]: Simplify 1 into 1
6.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.010 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.011 * [backup-simplify]: Simplify (+ 1 0) into 1
6.011 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.012 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.012 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.013 * [backup-simplify]: Simplify (+ 1 0) into 1
6.013 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.014 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.014 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
6.015 * [backup-simplify]: Simplify (- 0) into 0
6.015 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
6.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.015 * [taylor]: Taking taylor expansion of 1/2 in im
6.015 * [backup-simplify]: Simplify 1/2 into 1/2
6.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.015 * [taylor]: Taking taylor expansion of im in im
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [backup-simplify]: Simplify (/ 1 1) into 1
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 0 into 0
6.016 * [backup-simplify]: Simplify 0 into 0
6.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.017 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
6.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.019 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.019 * [backup-simplify]: Simplify (+ 0 0) into 0
6.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
6.020 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
6.020 * [backup-simplify]: Simplify (- 0) into 0
6.020 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [taylor]: Taking taylor expansion of 0 in im
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.022 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
6.022 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
6.022 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
6.022 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.022 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
6.022 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.022 * [taylor]: Taking taylor expansion of re in im
6.022 * [backup-simplify]: Simplify re into re
6.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.022 * [taylor]: Taking taylor expansion of re in im
6.022 * [backup-simplify]: Simplify re into re
6.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.022 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.022 * [taylor]: Taking taylor expansion of im in im
6.022 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify 1 into 1
6.022 * [backup-simplify]: Simplify (/ 1 1) into 1
6.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.023 * [taylor]: Taking taylor expansion of im in im
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [backup-simplify]: Simplify (/ 1 1) into 1
6.023 * [backup-simplify]: Simplify (* 1 1) into 1
6.023 * [backup-simplify]: Simplify (+ 0 1) into 1
6.024 * [backup-simplify]: Simplify (sqrt 1) into 1
6.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.025 * [backup-simplify]: Simplify (+ 0 0) into 0
6.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.026 * [backup-simplify]: Simplify (sqrt 0) into 0
6.027 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.027 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.027 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.027 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.027 * [taylor]: Taking taylor expansion of re in im
6.027 * [backup-simplify]: Simplify re into re
6.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.027 * [taylor]: Taking taylor expansion of re in im
6.027 * [backup-simplify]: Simplify re into re
6.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.027 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.027 * [taylor]: Taking taylor expansion of im in im
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.027 * [backup-simplify]: Simplify (/ 1 1) into 1
6.028 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.028 * [taylor]: Taking taylor expansion of im in im
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 1 into 1
6.028 * [backup-simplify]: Simplify (/ 1 1) into 1
6.028 * [backup-simplify]: Simplify (* 1 1) into 1
6.028 * [backup-simplify]: Simplify (+ 0 1) into 1
6.029 * [backup-simplify]: Simplify (sqrt 1) into 1
6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.030 * [backup-simplify]: Simplify (+ 0 0) into 0
6.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.031 * [backup-simplify]: Simplify (sqrt 0) into 0
6.032 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.032 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
6.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.032 * [taylor]: Taking taylor expansion of re in im
6.032 * [backup-simplify]: Simplify re into re
6.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.032 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
6.032 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.032 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
6.032 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.032 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.032 * [taylor]: Taking taylor expansion of re in re
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 1 into 1
6.032 * [backup-simplify]: Simplify (/ 1 1) into 1
6.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.032 * [taylor]: Taking taylor expansion of re in re
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 1 into 1
6.033 * [backup-simplify]: Simplify (/ 1 1) into 1
6.033 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.033 * [taylor]: Taking taylor expansion of im in re
6.033 * [backup-simplify]: Simplify im into im
6.033 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.033 * [taylor]: Taking taylor expansion of im in re
6.033 * [backup-simplify]: Simplify im into im
6.033 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.033 * [backup-simplify]: Simplify (* 1 1) into 1
6.034 * [backup-simplify]: Simplify (+ 1 0) into 1
6.034 * [backup-simplify]: Simplify (sqrt 1) into 1
6.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.035 * [backup-simplify]: Simplify (+ 0 0) into 0
6.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.036 * [backup-simplify]: Simplify (sqrt 0) into 0
6.037 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.037 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.037 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.037 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.037 * [taylor]: Taking taylor expansion of re in re
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 1 into 1
6.037 * [backup-simplify]: Simplify (/ 1 1) into 1
6.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.037 * [taylor]: Taking taylor expansion of re in re
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 1 into 1
6.038 * [backup-simplify]: Simplify (/ 1 1) into 1
6.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.038 * [taylor]: Taking taylor expansion of im in re
6.038 * [backup-simplify]: Simplify im into im
6.038 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.038 * [taylor]: Taking taylor expansion of im in re
6.038 * [backup-simplify]: Simplify im into im
6.038 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.038 * [backup-simplify]: Simplify (* 1 1) into 1
6.038 * [backup-simplify]: Simplify (+ 1 0) into 1
6.039 * [backup-simplify]: Simplify (sqrt 1) into 1
6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.040 * [backup-simplify]: Simplify (+ 0 0) into 0
6.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.041 * [backup-simplify]: Simplify (sqrt 0) into 0
6.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.042 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.042 * [taylor]: Taking taylor expansion of re in re
6.042 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify 1 into 1
6.042 * [backup-simplify]: Simplify (/ 1 1) into 1
6.042 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
6.042 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.042 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
6.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.042 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.043 * [taylor]: Taking taylor expansion of re in re
6.043 * [backup-simplify]: Simplify 0 into 0
6.043 * [backup-simplify]: Simplify 1 into 1
6.043 * [backup-simplify]: Simplify (/ 1 1) into 1
6.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.043 * [taylor]: Taking taylor expansion of re in re
6.043 * [backup-simplify]: Simplify 0 into 0
6.043 * [backup-simplify]: Simplify 1 into 1
6.043 * [backup-simplify]: Simplify (/ 1 1) into 1
6.043 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.043 * [taylor]: Taking taylor expansion of im in re
6.043 * [backup-simplify]: Simplify im into im
6.043 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.043 * [taylor]: Taking taylor expansion of im in re
6.043 * [backup-simplify]: Simplify im into im
6.043 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.044 * [backup-simplify]: Simplify (* 1 1) into 1
6.044 * [backup-simplify]: Simplify (+ 1 0) into 1
6.044 * [backup-simplify]: Simplify (sqrt 1) into 1
6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.046 * [backup-simplify]: Simplify (+ 0 0) into 0
6.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.046 * [backup-simplify]: Simplify (sqrt 0) into 0
6.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.047 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.047 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.047 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.047 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.047 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.047 * [taylor]: Taking taylor expansion of re in re
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.048 * [backup-simplify]: Simplify (/ 1 1) into 1
6.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.048 * [taylor]: Taking taylor expansion of re in re
6.048 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify 1 into 1
6.048 * [backup-simplify]: Simplify (/ 1 1) into 1
6.048 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.048 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.048 * [taylor]: Taking taylor expansion of im in re
6.048 * [backup-simplify]: Simplify im into im
6.048 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.048 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.048 * [taylor]: Taking taylor expansion of im in re
6.048 * [backup-simplify]: Simplify im into im
6.048 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.049 * [backup-simplify]: Simplify (* 1 1) into 1
6.049 * [backup-simplify]: Simplify (+ 1 0) into 1
6.049 * [backup-simplify]: Simplify (sqrt 1) into 1
6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.051 * [backup-simplify]: Simplify (+ 0 0) into 0
6.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.051 * [backup-simplify]: Simplify (sqrt 0) into 0
6.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.052 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.052 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.052 * [taylor]: Taking taylor expansion of re in re
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 1 into 1
6.053 * [backup-simplify]: Simplify (/ 1 1) into 1
6.053 * [backup-simplify]: Simplify (* 0 0) into 0
6.053 * [backup-simplify]: Simplify (+ 0 0) into 0
6.053 * [taylor]: Taking taylor expansion of 0 in im
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
6.054 * [backup-simplify]: Simplify (- 1) into -1
6.054 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.054 * [taylor]: Taking taylor expansion of -1 in im
6.054 * [backup-simplify]: Simplify -1 into -1
6.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.059 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
6.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.060 * [backup-simplify]: Simplify (- 0) into 0
6.061 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.061 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.061 * [taylor]: Taking taylor expansion of +nan.0 in im
6.061 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.061 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.063 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.064 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.065 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.067 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.070 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.070 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.073 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.075 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.076 * [backup-simplify]: Simplify (- 0) into 0
6.077 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.077 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.077 * [taylor]: Taking taylor expansion of +nan.0 in im
6.077 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.077 * [backup-simplify]: Simplify -1 into -1
6.077 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.080 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.081 * [backup-simplify]: Simplify (+ 0 0) into 0
6.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.083 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.086 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.086 * [backup-simplify]: Simplify (+ 0 0) into 0
6.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.088 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.097 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify (- 0) into 0
6.099 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.099 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.099 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.099 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.099 * [taylor]: Taking taylor expansion of +nan.0 in im
6.099 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.099 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.099 * [taylor]: Taking taylor expansion of im in im
6.099 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify 1 into 1
6.100 * [backup-simplify]: Simplify (* 1 1) into 1
6.100 * [backup-simplify]: Simplify (/ 1 1) into 1
6.100 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.100 * [taylor]: Taking taylor expansion of +nan.0 in im
6.100 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.101 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.101 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.102 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.102 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.105 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.105 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
6.105 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
6.105 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
6.105 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.105 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
6.105 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.105 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.106 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.106 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.106 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.106 * [taylor]: Taking taylor expansion of -1 in im
6.106 * [backup-simplify]: Simplify -1 into -1
6.106 * [taylor]: Taking taylor expansion of re in im
6.106 * [backup-simplify]: Simplify re into re
6.106 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.106 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.106 * [taylor]: Taking taylor expansion of -1 in im
6.106 * [backup-simplify]: Simplify -1 into -1
6.106 * [taylor]: Taking taylor expansion of re in im
6.106 * [backup-simplify]: Simplify re into re
6.106 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.106 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.106 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.106 * [taylor]: Taking taylor expansion of -1 in im
6.106 * [backup-simplify]: Simplify -1 into -1
6.106 * [taylor]: Taking taylor expansion of im in im
6.106 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (/ -1 1) into -1
6.107 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.107 * [taylor]: Taking taylor expansion of -1 in im
6.107 * [backup-simplify]: Simplify -1 into -1
6.107 * [taylor]: Taking taylor expansion of im in im
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (/ -1 1) into -1
6.108 * [backup-simplify]: Simplify (* -1 -1) into 1
6.108 * [backup-simplify]: Simplify (+ 0 1) into 1
6.109 * [backup-simplify]: Simplify (sqrt 1) into 1
6.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.111 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.113 * [backup-simplify]: Simplify (sqrt 0) into 0
6.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.114 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.115 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.115 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.115 * [taylor]: Taking taylor expansion of -1 in im
6.115 * [backup-simplify]: Simplify -1 into -1
6.115 * [taylor]: Taking taylor expansion of re in im
6.115 * [backup-simplify]: Simplify re into re
6.115 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.115 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.115 * [taylor]: Taking taylor expansion of -1 in im
6.115 * [backup-simplify]: Simplify -1 into -1
6.115 * [taylor]: Taking taylor expansion of re in im
6.115 * [backup-simplify]: Simplify re into re
6.115 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.115 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.115 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.115 * [taylor]: Taking taylor expansion of -1 in im
6.115 * [backup-simplify]: Simplify -1 into -1
6.115 * [taylor]: Taking taylor expansion of im in im
6.115 * [backup-simplify]: Simplify 0 into 0
6.115 * [backup-simplify]: Simplify 1 into 1
6.116 * [backup-simplify]: Simplify (/ -1 1) into -1
6.116 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.116 * [taylor]: Taking taylor expansion of -1 in im
6.116 * [backup-simplify]: Simplify -1 into -1
6.116 * [taylor]: Taking taylor expansion of im in im
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 1 into 1
6.116 * [backup-simplify]: Simplify (/ -1 1) into -1
6.116 * [backup-simplify]: Simplify (* -1 -1) into 1
6.117 * [backup-simplify]: Simplify (+ 0 1) into 1
6.117 * [backup-simplify]: Simplify (sqrt 1) into 1
6.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.119 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.119 * [backup-simplify]: Simplify (+ 0 0) into 0
6.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.120 * [backup-simplify]: Simplify (sqrt 0) into 0
6.121 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.121 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.121 * [taylor]: Taking taylor expansion of re in im
6.121 * [backup-simplify]: Simplify re into re
6.121 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.121 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
6.121 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.121 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
6.121 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.121 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.121 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.121 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.121 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.121 * [taylor]: Taking taylor expansion of -1 in re
6.121 * [backup-simplify]: Simplify -1 into -1
6.121 * [taylor]: Taking taylor expansion of re in re
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (/ -1 1) into -1
6.122 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.122 * [taylor]: Taking taylor expansion of -1 in re
6.122 * [backup-simplify]: Simplify -1 into -1
6.122 * [taylor]: Taking taylor expansion of re in re
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (/ -1 1) into -1
6.122 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.122 * [taylor]: Taking taylor expansion of -1 in re
6.122 * [backup-simplify]: Simplify -1 into -1
6.122 * [taylor]: Taking taylor expansion of im in re
6.122 * [backup-simplify]: Simplify im into im
6.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.122 * [taylor]: Taking taylor expansion of -1 in re
6.122 * [backup-simplify]: Simplify -1 into -1
6.123 * [taylor]: Taking taylor expansion of im in re
6.123 * [backup-simplify]: Simplify im into im
6.123 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.123 * [backup-simplify]: Simplify (* -1 -1) into 1
6.123 * [backup-simplify]: Simplify (+ 1 0) into 1
6.123 * [backup-simplify]: Simplify (sqrt 1) into 1
6.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.126 * [backup-simplify]: Simplify (+ 0 0) into 0
6.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.126 * [backup-simplify]: Simplify (sqrt 0) into 0
6.127 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.127 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.127 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.127 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.127 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.127 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.127 * [taylor]: Taking taylor expansion of -1 in re
6.127 * [backup-simplify]: Simplify -1 into -1
6.127 * [taylor]: Taking taylor expansion of re in re
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.128 * [backup-simplify]: Simplify (/ -1 1) into -1
6.128 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.128 * [taylor]: Taking taylor expansion of -1 in re
6.128 * [backup-simplify]: Simplify -1 into -1
6.128 * [taylor]: Taking taylor expansion of re in re
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 1 into 1
6.128 * [backup-simplify]: Simplify (/ -1 1) into -1
6.128 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.128 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.128 * [taylor]: Taking taylor expansion of -1 in re
6.128 * [backup-simplify]: Simplify -1 into -1
6.128 * [taylor]: Taking taylor expansion of im in re
6.128 * [backup-simplify]: Simplify im into im
6.128 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.128 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.128 * [taylor]: Taking taylor expansion of -1 in re
6.128 * [backup-simplify]: Simplify -1 into -1
6.128 * [taylor]: Taking taylor expansion of im in re
6.128 * [backup-simplify]: Simplify im into im
6.128 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.128 * [backup-simplify]: Simplify (* -1 -1) into 1
6.129 * [backup-simplify]: Simplify (+ 1 0) into 1
6.129 * [backup-simplify]: Simplify (sqrt 1) into 1
6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.131 * [backup-simplify]: Simplify (+ 0 0) into 0
6.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.131 * [backup-simplify]: Simplify (sqrt 0) into 0
6.132 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.132 * [taylor]: Taking taylor expansion of re in re
6.132 * [backup-simplify]: Simplify 0 into 0
6.132 * [backup-simplify]: Simplify 1 into 1
6.132 * [backup-simplify]: Simplify (/ 1 1) into 1
6.132 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
6.132 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.133 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
6.133 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.133 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.133 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.133 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.133 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.133 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.133 * [taylor]: Taking taylor expansion of -1 in re
6.133 * [backup-simplify]: Simplify -1 into -1
6.133 * [taylor]: Taking taylor expansion of re in re
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [backup-simplify]: Simplify (/ -1 1) into -1
6.133 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.133 * [taylor]: Taking taylor expansion of -1 in re
6.133 * [backup-simplify]: Simplify -1 into -1
6.133 * [taylor]: Taking taylor expansion of re in re
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [backup-simplify]: Simplify (/ -1 1) into -1
6.133 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.133 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.133 * [taylor]: Taking taylor expansion of -1 in re
6.133 * [backup-simplify]: Simplify -1 into -1
6.133 * [taylor]: Taking taylor expansion of im in re
6.133 * [backup-simplify]: Simplify im into im
6.134 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.134 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.134 * [taylor]: Taking taylor expansion of -1 in re
6.134 * [backup-simplify]: Simplify -1 into -1
6.134 * [taylor]: Taking taylor expansion of im in re
6.134 * [backup-simplify]: Simplify im into im
6.134 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.134 * [backup-simplify]: Simplify (* -1 -1) into 1
6.134 * [backup-simplify]: Simplify (+ 1 0) into 1
6.134 * [backup-simplify]: Simplify (sqrt 1) into 1
6.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.136 * [backup-simplify]: Simplify (+ 0 0) into 0
6.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.137 * [backup-simplify]: Simplify (sqrt 0) into 0
6.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.137 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.137 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.138 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.138 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.138 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.138 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.138 * [taylor]: Taking taylor expansion of -1 in re
6.138 * [backup-simplify]: Simplify -1 into -1
6.138 * [taylor]: Taking taylor expansion of re in re
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [backup-simplify]: Simplify (/ -1 1) into -1
6.138 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.138 * [taylor]: Taking taylor expansion of -1 in re
6.138 * [backup-simplify]: Simplify -1 into -1
6.138 * [taylor]: Taking taylor expansion of re in re
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [backup-simplify]: Simplify (/ -1 1) into -1
6.138 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.138 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.138 * [taylor]: Taking taylor expansion of -1 in re
6.138 * [backup-simplify]: Simplify -1 into -1
6.138 * [taylor]: Taking taylor expansion of im in re
6.138 * [backup-simplify]: Simplify im into im
6.138 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.139 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.139 * [taylor]: Taking taylor expansion of -1 in re
6.139 * [backup-simplify]: Simplify -1 into -1
6.139 * [taylor]: Taking taylor expansion of im in re
6.139 * [backup-simplify]: Simplify im into im
6.139 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.139 * [backup-simplify]: Simplify (* -1 -1) into 1
6.139 * [backup-simplify]: Simplify (+ 1 0) into 1
6.139 * [backup-simplify]: Simplify (sqrt 1) into 1
6.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.141 * [backup-simplify]: Simplify (+ 0 0) into 0
6.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.142 * [backup-simplify]: Simplify (sqrt 0) into 0
6.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.142 * [taylor]: Taking taylor expansion of re in re
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 1 into 1
6.143 * [backup-simplify]: Simplify (/ 1 1) into 1
6.143 * [backup-simplify]: Simplify (* 0 0) into 0
6.143 * [backup-simplify]: Simplify (+ 0 0) into 0
6.143 * [taylor]: Taking taylor expansion of 0 in im
6.143 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
6.144 * [backup-simplify]: Simplify (+ 0 1) into 1
6.144 * [taylor]: Taking taylor expansion of 1 in im
6.144 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.149 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.150 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.150 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.150 * [taylor]: Taking taylor expansion of +nan.0 in im
6.150 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.150 * [backup-simplify]: Simplify 0 into 0
6.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.153 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.157 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.160 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.162 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.164 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.165 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.167 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.167 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.167 * [taylor]: Taking taylor expansion of +nan.0 in im
6.167 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.167 * [backup-simplify]: Simplify 1 into 1
6.167 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.171 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.171 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.171 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.172 * [backup-simplify]: Simplify (+ 0 0) into 0
6.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.174 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.177 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.177 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.177 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.177 * [backup-simplify]: Simplify (+ 0 0) into 0
6.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.179 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.180 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.181 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.181 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.181 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.181 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.181 * [taylor]: Taking taylor expansion of +nan.0 in im
6.181 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.181 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.181 * [taylor]: Taking taylor expansion of im in im
6.181 * [backup-simplify]: Simplify 0 into 0
6.181 * [backup-simplify]: Simplify 1 into 1
6.181 * [backup-simplify]: Simplify (* 1 1) into 1
6.182 * [backup-simplify]: Simplify (/ 1 1) into 1
6.182 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.182 * [taylor]: Taking taylor expansion of +nan.0 in im
6.182 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.182 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.182 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.183 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.183 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.183 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.184 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.184 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.184 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 1 1)
6.185 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
6.185 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
6.185 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
6.185 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.185 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
6.185 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.185 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.185 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.185 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.185 * [taylor]: Taking taylor expansion of (* re re) in im
6.185 * [taylor]: Taking taylor expansion of re in im
6.185 * [backup-simplify]: Simplify re into re
6.185 * [taylor]: Taking taylor expansion of re in im
6.185 * [backup-simplify]: Simplify re into re
6.185 * [taylor]: Taking taylor expansion of (* im im) in im
6.185 * [taylor]: Taking taylor expansion of im in im
6.185 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify 1 into 1
6.185 * [taylor]: Taking taylor expansion of im in im
6.185 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify 1 into 1
6.185 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.185 * [backup-simplify]: Simplify (* 0 0) into 0
6.185 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.186 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.186 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.186 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.186 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.186 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.186 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.187 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.187 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.187 * [taylor]: Taking taylor expansion of (* re re) in im
6.187 * [taylor]: Taking taylor expansion of re in im
6.187 * [backup-simplify]: Simplify re into re
6.187 * [taylor]: Taking taylor expansion of re in im
6.187 * [backup-simplify]: Simplify re into re
6.187 * [taylor]: Taking taylor expansion of (* im im) in im
6.187 * [taylor]: Taking taylor expansion of im in im
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [taylor]: Taking taylor expansion of im in im
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.187 * [backup-simplify]: Simplify (* 0 0) into 0
6.187 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.187 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.187 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.188 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.188 * [backup-simplify]: Simplify (+ 0 0) into 0
6.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.188 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.188 * [taylor]: Taking taylor expansion of (- re) in im
6.188 * [taylor]: Taking taylor expansion of re in im
6.188 * [backup-simplify]: Simplify re into re
6.188 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
6.188 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.188 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
6.188 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.188 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.188 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.188 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.188 * [taylor]: Taking taylor expansion of (* re re) in re
6.188 * [taylor]: Taking taylor expansion of re in re
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [taylor]: Taking taylor expansion of re in re
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [taylor]: Taking taylor expansion of (* im im) in re
6.188 * [taylor]: Taking taylor expansion of im in re
6.189 * [backup-simplify]: Simplify im into im
6.189 * [taylor]: Taking taylor expansion of im in re
6.189 * [backup-simplify]: Simplify im into im
6.189 * [backup-simplify]: Simplify (* 0 0) into 0
6.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.189 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.189 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.189 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.190 * [backup-simplify]: Simplify (+ 0 0) into 0
6.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.190 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.190 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.190 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.190 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.190 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.190 * [taylor]: Taking taylor expansion of (* re re) in re
6.190 * [taylor]: Taking taylor expansion of re in re
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [taylor]: Taking taylor expansion of re in re
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [taylor]: Taking taylor expansion of (* im im) in re
6.190 * [taylor]: Taking taylor expansion of im in re
6.190 * [backup-simplify]: Simplify im into im
6.190 * [taylor]: Taking taylor expansion of im in re
6.190 * [backup-simplify]: Simplify im into im
6.190 * [backup-simplify]: Simplify (* 0 0) into 0
6.191 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.191 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.191 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.191 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.191 * [backup-simplify]: Simplify (+ 0 0) into 0
6.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.192 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.192 * [taylor]: Taking taylor expansion of (- re) in re
6.192 * [taylor]: Taking taylor expansion of re in re
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
6.192 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.192 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
6.192 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.192 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.192 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.192 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.192 * [taylor]: Taking taylor expansion of (* re re) in re
6.192 * [taylor]: Taking taylor expansion of re in re
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [taylor]: Taking taylor expansion of re in re
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [taylor]: Taking taylor expansion of (* im im) in re
6.192 * [taylor]: Taking taylor expansion of im in re
6.192 * [backup-simplify]: Simplify im into im
6.192 * [taylor]: Taking taylor expansion of im in re
6.192 * [backup-simplify]: Simplify im into im
6.192 * [backup-simplify]: Simplify (* 0 0) into 0
6.192 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.192 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.193 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.193 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.193 * [backup-simplify]: Simplify (+ 0 0) into 0
6.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.193 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.193 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.193 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.194 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.194 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.194 * [taylor]: Taking taylor expansion of (* re re) in re
6.194 * [taylor]: Taking taylor expansion of re in re
6.194 * [backup-simplify]: Simplify 0 into 0
6.194 * [backup-simplify]: Simplify 1 into 1
6.194 * [taylor]: Taking taylor expansion of re in re
6.194 * [backup-simplify]: Simplify 0 into 0
6.194 * [backup-simplify]: Simplify 1 into 1
6.194 * [taylor]: Taking taylor expansion of (* im im) in re
6.194 * [taylor]: Taking taylor expansion of im in re
6.194 * [backup-simplify]: Simplify im into im
6.194 * [taylor]: Taking taylor expansion of im in re
6.194 * [backup-simplify]: Simplify im into im
6.194 * [backup-simplify]: Simplify (* 0 0) into 0
6.194 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.194 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.195 * [backup-simplify]: Simplify (+ 0 0) into 0
6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.195 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.195 * [taylor]: Taking taylor expansion of (- re) in re
6.195 * [taylor]: Taking taylor expansion of re in re
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.195 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
6.195 * [backup-simplify]: Simplify (- 0) into 0
6.196 * [backup-simplify]: Simplify (+ im 0) into im
6.196 * [taylor]: Taking taylor expansion of im in im
6.196 * [backup-simplify]: Simplify 0 into 0
6.196 * [backup-simplify]: Simplify 1 into 1
6.196 * [backup-simplify]: Simplify 0 into 0
6.196 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
6.196 * [backup-simplify]: Simplify (- 1) into -1
6.196 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.196 * [taylor]: Taking taylor expansion of -1 in im
6.196 * [backup-simplify]: Simplify -1 into -1
6.196 * [backup-simplify]: Simplify -1 into -1
6.196 * [backup-simplify]: Simplify 1 into 1
6.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.197 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.197 * [backup-simplify]: Simplify (+ 1 0) into 1
6.198 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.198 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.199 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.199 * [backup-simplify]: Simplify (+ 1 0) into 1
6.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.200 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.201 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
6.201 * [backup-simplify]: Simplify (- 0) into 0
6.201 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
6.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.201 * [taylor]: Taking taylor expansion of 1/2 in im
6.201 * [backup-simplify]: Simplify 1/2 into 1/2
6.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.201 * [taylor]: Taking taylor expansion of im in im
6.201 * [backup-simplify]: Simplify 0 into 0
6.201 * [backup-simplify]: Simplify 1 into 1
6.202 * [backup-simplify]: Simplify (/ 1 1) into 1
6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.204 * [backup-simplify]: Simplify (+ 0 0) into 0
6.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
6.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.205 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.206 * [backup-simplify]: Simplify (+ 0 0) into 0
6.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
6.207 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
6.212 * [backup-simplify]: Simplify (- 0) into 0
6.213 * [backup-simplify]: Simplify (+ 0 0) into 0
6.213 * [taylor]: Taking taylor expansion of 0 in im
6.213 * [backup-simplify]: Simplify 0 into 0
6.213 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.216 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
6.216 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
6.216 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
6.216 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.216 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
6.216 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.216 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.216 * [taylor]: Taking taylor expansion of re in im
6.217 * [backup-simplify]: Simplify re into re
6.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.217 * [taylor]: Taking taylor expansion of re in im
6.217 * [backup-simplify]: Simplify re into re
6.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.217 * [taylor]: Taking taylor expansion of im in im
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (/ 1 1) into 1
6.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.217 * [taylor]: Taking taylor expansion of im in im
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (/ 1 1) into 1
6.218 * [backup-simplify]: Simplify (* 1 1) into 1
6.219 * [backup-simplify]: Simplify (+ 0 1) into 1
6.219 * [backup-simplify]: Simplify (sqrt 1) into 1
6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.222 * [backup-simplify]: Simplify (+ 0 0) into 0
6.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.223 * [backup-simplify]: Simplify (sqrt 0) into 0
6.225 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.225 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.225 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.225 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.225 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.225 * [taylor]: Taking taylor expansion of re in im
6.225 * [backup-simplify]: Simplify re into re
6.225 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.225 * [taylor]: Taking taylor expansion of re in im
6.225 * [backup-simplify]: Simplify re into re
6.225 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.225 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.225 * [taylor]: Taking taylor expansion of im in im
6.225 * [backup-simplify]: Simplify 0 into 0
6.225 * [backup-simplify]: Simplify 1 into 1
6.226 * [backup-simplify]: Simplify (/ 1 1) into 1
6.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.226 * [taylor]: Taking taylor expansion of im in im
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 1 into 1
6.226 * [backup-simplify]: Simplify (/ 1 1) into 1
6.227 * [backup-simplify]: Simplify (* 1 1) into 1
6.227 * [backup-simplify]: Simplify (+ 0 1) into 1
6.228 * [backup-simplify]: Simplify (sqrt 1) into 1
6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.230 * [backup-simplify]: Simplify (+ 0 0) into 0
6.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.232 * [backup-simplify]: Simplify (sqrt 0) into 0
6.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.233 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
6.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.233 * [taylor]: Taking taylor expansion of re in im
6.233 * [backup-simplify]: Simplify re into re
6.233 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.233 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
6.234 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.234 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
6.234 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.234 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.234 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.234 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.234 * [taylor]: Taking taylor expansion of re in re
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (/ 1 1) into 1
6.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.235 * [taylor]: Taking taylor expansion of re in re
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 1 into 1
6.235 * [backup-simplify]: Simplify (/ 1 1) into 1
6.235 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.235 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.235 * [taylor]: Taking taylor expansion of im in re
6.235 * [backup-simplify]: Simplify im into im
6.235 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.235 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.235 * [taylor]: Taking taylor expansion of im in re
6.235 * [backup-simplify]: Simplify im into im
6.235 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.236 * [backup-simplify]: Simplify (* 1 1) into 1
6.236 * [backup-simplify]: Simplify (+ 1 0) into 1
6.237 * [backup-simplify]: Simplify (sqrt 1) into 1
6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.239 * [backup-simplify]: Simplify (+ 0 0) into 0
6.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.240 * [backup-simplify]: Simplify (sqrt 0) into 0
6.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.242 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.242 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.242 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.242 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.242 * [taylor]: Taking taylor expansion of re in re
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (/ 1 1) into 1
6.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.242 * [taylor]: Taking taylor expansion of re in re
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (/ 1 1) into 1
6.242 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.243 * [taylor]: Taking taylor expansion of im in re
6.243 * [backup-simplify]: Simplify im into im
6.243 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.243 * [taylor]: Taking taylor expansion of im in re
6.243 * [backup-simplify]: Simplify im into im
6.243 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.243 * [backup-simplify]: Simplify (* 1 1) into 1
6.243 * [backup-simplify]: Simplify (+ 1 0) into 1
6.243 * [backup-simplify]: Simplify (sqrt 1) into 1
6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.245 * [backup-simplify]: Simplify (+ 0 0) into 0
6.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.246 * [backup-simplify]: Simplify (sqrt 0) into 0
6.246 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.246 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.246 * [taylor]: Taking taylor expansion of re in re
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (/ 1 1) into 1
6.247 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
6.247 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.247 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
6.247 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.247 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.247 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.247 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.247 * [taylor]: Taking taylor expansion of re in re
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (/ 1 1) into 1
6.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.247 * [taylor]: Taking taylor expansion of re in re
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 1 into 1
6.248 * [backup-simplify]: Simplify (/ 1 1) into 1
6.248 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.248 * [taylor]: Taking taylor expansion of im in re
6.248 * [backup-simplify]: Simplify im into im
6.248 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.248 * [taylor]: Taking taylor expansion of im in re
6.248 * [backup-simplify]: Simplify im into im
6.248 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.248 * [backup-simplify]: Simplify (* 1 1) into 1
6.248 * [backup-simplify]: Simplify (+ 1 0) into 1
6.249 * [backup-simplify]: Simplify (sqrt 1) into 1
6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (+ 0 0) into 0
6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.251 * [backup-simplify]: Simplify (sqrt 0) into 0
6.252 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.252 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.252 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.252 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.252 * [taylor]: Taking taylor expansion of re in re
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.252 * [taylor]: Taking taylor expansion of re in re
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.253 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.253 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.253 * [taylor]: Taking taylor expansion of im in re
6.253 * [backup-simplify]: Simplify im into im
6.253 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.253 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.253 * [taylor]: Taking taylor expansion of im in re
6.253 * [backup-simplify]: Simplify im into im
6.253 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.253 * [backup-simplify]: Simplify (* 1 1) into 1
6.253 * [backup-simplify]: Simplify (+ 1 0) into 1
6.253 * [backup-simplify]: Simplify (sqrt 1) into 1
6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.255 * [backup-simplify]: Simplify (+ 0 0) into 0
6.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.256 * [backup-simplify]: Simplify (sqrt 0) into 0
6.256 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.256 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.256 * [taylor]: Taking taylor expansion of re in re
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (/ 1 1) into 1
6.257 * [backup-simplify]: Simplify (* 0 0) into 0
6.257 * [backup-simplify]: Simplify (+ 0 0) into 0
6.257 * [taylor]: Taking taylor expansion of 0 in im
6.257 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
6.258 * [backup-simplify]: Simplify (- 1) into -1
6.258 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.258 * [taylor]: Taking taylor expansion of -1 in im
6.258 * [backup-simplify]: Simplify -1 into -1
6.260 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.262 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.263 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (- 0) into 0
6.265 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.265 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.265 * [taylor]: Taking taylor expansion of +nan.0 in im
6.265 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.266 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.267 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.267 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.269 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.270 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.271 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.273 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.273 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
6.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.275 * [backup-simplify]: Simplify (- 0) into 0
6.276 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.276 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.276 * [taylor]: Taking taylor expansion of +nan.0 in im
6.276 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.276 * [backup-simplify]: Simplify -1 into -1
6.276 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.279 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.280 * [backup-simplify]: Simplify (+ 0 0) into 0
6.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.282 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.285 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.286 * [backup-simplify]: Simplify (+ 0 0) into 0
6.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.290 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.292 * [backup-simplify]: Simplify (- 0) into 0
6.293 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.293 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.293 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.293 * [taylor]: Taking taylor expansion of +nan.0 in im
6.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.293 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.293 * [taylor]: Taking taylor expansion of im in im
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (/ 1 1) into 1
6.294 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.294 * [taylor]: Taking taylor expansion of +nan.0 in im
6.294 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.294 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.295 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.296 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.298 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.299 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
6.299 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
6.299 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
6.299 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.299 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
6.299 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.299 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.299 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.299 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.299 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.299 * [taylor]: Taking taylor expansion of -1 in im
6.299 * [backup-simplify]: Simplify -1 into -1
6.299 * [taylor]: Taking taylor expansion of re in im
6.299 * [backup-simplify]: Simplify re into re
6.300 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.300 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.300 * [taylor]: Taking taylor expansion of -1 in im
6.300 * [backup-simplify]: Simplify -1 into -1
6.300 * [taylor]: Taking taylor expansion of re in im
6.300 * [backup-simplify]: Simplify re into re
6.300 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.300 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.300 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.300 * [taylor]: Taking taylor expansion of -1 in im
6.300 * [backup-simplify]: Simplify -1 into -1
6.300 * [taylor]: Taking taylor expansion of im in im
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [backup-simplify]: Simplify (/ -1 1) into -1
6.300 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.301 * [taylor]: Taking taylor expansion of -1 in im
6.301 * [backup-simplify]: Simplify -1 into -1
6.301 * [taylor]: Taking taylor expansion of im in im
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 1 into 1
6.301 * [backup-simplify]: Simplify (/ -1 1) into -1
6.301 * [backup-simplify]: Simplify (* -1 -1) into 1
6.302 * [backup-simplify]: Simplify (+ 0 1) into 1
6.302 * [backup-simplify]: Simplify (sqrt 1) into 1
6.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.303 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.304 * [backup-simplify]: Simplify (+ 0 0) into 0
6.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.304 * [backup-simplify]: Simplify (sqrt 0) into 0
6.305 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.305 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.305 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.305 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.306 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.306 * [taylor]: Taking taylor expansion of -1 in im
6.306 * [backup-simplify]: Simplify -1 into -1
6.306 * [taylor]: Taking taylor expansion of re in im
6.306 * [backup-simplify]: Simplify re into re
6.306 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.306 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.306 * [taylor]: Taking taylor expansion of -1 in im
6.306 * [backup-simplify]: Simplify -1 into -1
6.306 * [taylor]: Taking taylor expansion of re in im
6.306 * [backup-simplify]: Simplify re into re
6.306 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.306 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.306 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.306 * [taylor]: Taking taylor expansion of -1 in im
6.306 * [backup-simplify]: Simplify -1 into -1
6.306 * [taylor]: Taking taylor expansion of im in im
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.306 * [backup-simplify]: Simplify (/ -1 1) into -1
6.306 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.306 * [taylor]: Taking taylor expansion of -1 in im
6.306 * [backup-simplify]: Simplify -1 into -1
6.306 * [taylor]: Taking taylor expansion of im in im
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.306 * [backup-simplify]: Simplify (/ -1 1) into -1
6.307 * [backup-simplify]: Simplify (* -1 -1) into 1
6.307 * [backup-simplify]: Simplify (+ 0 1) into 1
6.307 * [backup-simplify]: Simplify (sqrt 1) into 1
6.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.309 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.309 * [backup-simplify]: Simplify (+ 0 0) into 0
6.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.309 * [backup-simplify]: Simplify (sqrt 0) into 0
6.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.310 * [taylor]: Taking taylor expansion of re in im
6.310 * [backup-simplify]: Simplify re into re
6.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.310 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
6.311 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.311 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
6.311 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.311 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.311 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.311 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.311 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.311 * [taylor]: Taking taylor expansion of -1 in re
6.311 * [backup-simplify]: Simplify -1 into -1
6.311 * [taylor]: Taking taylor expansion of re in re
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 1 into 1
6.311 * [backup-simplify]: Simplify (/ -1 1) into -1
6.311 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.311 * [taylor]: Taking taylor expansion of -1 in re
6.311 * [backup-simplify]: Simplify -1 into -1
6.311 * [taylor]: Taking taylor expansion of re in re
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 1 into 1
6.311 * [backup-simplify]: Simplify (/ -1 1) into -1
6.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.312 * [taylor]: Taking taylor expansion of -1 in re
6.312 * [backup-simplify]: Simplify -1 into -1
6.312 * [taylor]: Taking taylor expansion of im in re
6.312 * [backup-simplify]: Simplify im into im
6.312 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.312 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.312 * [taylor]: Taking taylor expansion of -1 in re
6.312 * [backup-simplify]: Simplify -1 into -1
6.312 * [taylor]: Taking taylor expansion of im in re
6.312 * [backup-simplify]: Simplify im into im
6.312 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.312 * [backup-simplify]: Simplify (* -1 -1) into 1
6.312 * [backup-simplify]: Simplify (+ 1 0) into 1
6.313 * [backup-simplify]: Simplify (sqrt 1) into 1
6.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.314 * [backup-simplify]: Simplify (+ 0 0) into 0
6.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.315 * [backup-simplify]: Simplify (sqrt 0) into 0
6.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.316 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.316 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.316 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.316 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.316 * [taylor]: Taking taylor expansion of -1 in re
6.316 * [backup-simplify]: Simplify -1 into -1
6.316 * [taylor]: Taking taylor expansion of re in re
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 1 into 1
6.316 * [backup-simplify]: Simplify (/ -1 1) into -1
6.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.316 * [taylor]: Taking taylor expansion of -1 in re
6.316 * [backup-simplify]: Simplify -1 into -1
6.316 * [taylor]: Taking taylor expansion of re in re
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 1 into 1
6.317 * [backup-simplify]: Simplify (/ -1 1) into -1
6.317 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.317 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.317 * [taylor]: Taking taylor expansion of -1 in re
6.317 * [backup-simplify]: Simplify -1 into -1
6.317 * [taylor]: Taking taylor expansion of im in re
6.317 * [backup-simplify]: Simplify im into im
6.317 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.317 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.317 * [taylor]: Taking taylor expansion of -1 in re
6.317 * [backup-simplify]: Simplify -1 into -1
6.317 * [taylor]: Taking taylor expansion of im in re
6.317 * [backup-simplify]: Simplify im into im
6.317 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.317 * [backup-simplify]: Simplify (* -1 -1) into 1
6.317 * [backup-simplify]: Simplify (+ 1 0) into 1
6.318 * [backup-simplify]: Simplify (sqrt 1) into 1
6.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.319 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.319 * [backup-simplify]: Simplify (+ 0 0) into 0
6.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.320 * [backup-simplify]: Simplify (sqrt 0) into 0
6.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.321 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.321 * [taylor]: Taking taylor expansion of re in re
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (/ 1 1) into 1
6.321 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
6.321 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.321 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
6.321 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.321 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.321 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.321 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.321 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.321 * [taylor]: Taking taylor expansion of -1 in re
6.321 * [backup-simplify]: Simplify -1 into -1
6.321 * [taylor]: Taking taylor expansion of re in re
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.322 * [backup-simplify]: Simplify (/ -1 1) into -1
6.322 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.322 * [taylor]: Taking taylor expansion of -1 in re
6.322 * [backup-simplify]: Simplify -1 into -1
6.322 * [taylor]: Taking taylor expansion of re in re
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify 1 into 1
6.322 * [backup-simplify]: Simplify (/ -1 1) into -1
6.322 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.322 * [taylor]: Taking taylor expansion of -1 in re
6.322 * [backup-simplify]: Simplify -1 into -1
6.322 * [taylor]: Taking taylor expansion of im in re
6.322 * [backup-simplify]: Simplify im into im
6.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.322 * [taylor]: Taking taylor expansion of -1 in re
6.322 * [backup-simplify]: Simplify -1 into -1
6.322 * [taylor]: Taking taylor expansion of im in re
6.322 * [backup-simplify]: Simplify im into im
6.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.323 * [backup-simplify]: Simplify (* -1 -1) into 1
6.323 * [backup-simplify]: Simplify (+ 1 0) into 1
6.323 * [backup-simplify]: Simplify (sqrt 1) into 1
6.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.324 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.325 * [backup-simplify]: Simplify (+ 0 0) into 0
6.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.325 * [backup-simplify]: Simplify (sqrt 0) into 0
6.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.326 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.326 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.326 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.326 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.326 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.326 * [taylor]: Taking taylor expansion of -1 in re
6.326 * [backup-simplify]: Simplify -1 into -1
6.326 * [taylor]: Taking taylor expansion of re in re
6.326 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify 1 into 1
6.330 * [backup-simplify]: Simplify (/ -1 1) into -1
6.330 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.330 * [taylor]: Taking taylor expansion of -1 in re
6.330 * [backup-simplify]: Simplify -1 into -1
6.330 * [taylor]: Taking taylor expansion of re in re
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 1 into 1
6.331 * [backup-simplify]: Simplify (/ -1 1) into -1
6.331 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.331 * [taylor]: Taking taylor expansion of -1 in re
6.331 * [backup-simplify]: Simplify -1 into -1
6.331 * [taylor]: Taking taylor expansion of im in re
6.331 * [backup-simplify]: Simplify im into im
6.331 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.331 * [taylor]: Taking taylor expansion of -1 in re
6.331 * [backup-simplify]: Simplify -1 into -1
6.331 * [taylor]: Taking taylor expansion of im in re
6.331 * [backup-simplify]: Simplify im into im
6.331 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.331 * [backup-simplify]: Simplify (* -1 -1) into 1
6.332 * [backup-simplify]: Simplify (+ 1 0) into 1
6.332 * [backup-simplify]: Simplify (sqrt 1) into 1
6.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.333 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.334 * [backup-simplify]: Simplify (+ 0 0) into 0
6.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.335 * [backup-simplify]: Simplify (sqrt 0) into 0
6.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.336 * [taylor]: Taking taylor expansion of re in re
6.336 * [backup-simplify]: Simplify 0 into 0
6.336 * [backup-simplify]: Simplify 1 into 1
6.337 * [backup-simplify]: Simplify (/ 1 1) into 1
6.337 * [backup-simplify]: Simplify (* 0 0) into 0
6.337 * [backup-simplify]: Simplify (+ 0 0) into 0
6.337 * [taylor]: Taking taylor expansion of 0 in im
6.337 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
6.338 * [backup-simplify]: Simplify (+ 0 1) into 1
6.339 * [taylor]: Taking taylor expansion of 1 in im
6.339 * [backup-simplify]: Simplify 1 into 1
6.341 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.344 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.347 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.349 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.349 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.349 * [taylor]: Taking taylor expansion of +nan.0 in im
6.349 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.349 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.352 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.352 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.356 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.359 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.359 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.361 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.363 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.364 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.366 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.366 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.366 * [taylor]: Taking taylor expansion of +nan.0 in im
6.366 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.366 * [backup-simplify]: Simplify 1 into 1
6.366 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.369 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.369 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.370 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.370 * [backup-simplify]: Simplify (+ 0 0) into 0
6.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.375 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.376 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.376 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.376 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.376 * [backup-simplify]: Simplify (+ 0 0) into 0
6.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.378 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.381 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.382 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.382 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.382 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.382 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.382 * [taylor]: Taking taylor expansion of +nan.0 in im
6.382 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.382 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.382 * [taylor]: Taking taylor expansion of im in im
6.383 * [backup-simplify]: Simplify 0 into 0
6.383 * [backup-simplify]: Simplify 1 into 1
6.383 * [backup-simplify]: Simplify (* 1 1) into 1
6.383 * [backup-simplify]: Simplify (/ 1 1) into 1
6.383 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.383 * [taylor]: Taking taylor expansion of +nan.0 in im
6.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.384 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.384 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.385 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.388 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.388 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1)
6.388 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))
6.388 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0
6.388 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im
6.389 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.389 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
6.389 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.389 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.389 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.389 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.389 * [taylor]: Taking taylor expansion of (* re re) in im
6.389 * [taylor]: Taking taylor expansion of re in im
6.389 * [backup-simplify]: Simplify re into re
6.389 * [taylor]: Taking taylor expansion of re in im
6.389 * [backup-simplify]: Simplify re into re
6.389 * [taylor]: Taking taylor expansion of (* im im) in im
6.389 * [taylor]: Taking taylor expansion of im in im
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 1 into 1
6.389 * [taylor]: Taking taylor expansion of im in im
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 1 into 1
6.389 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.390 * [backup-simplify]: Simplify (* 0 0) into 0
6.390 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.390 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.390 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.391 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.391 * [backup-simplify]: Simplify (+ 0 0) into 0
6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.391 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.391 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.391 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.392 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.392 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.392 * [taylor]: Taking taylor expansion of (* re re) in im
6.392 * [taylor]: Taking taylor expansion of re in im
6.392 * [backup-simplify]: Simplify re into re
6.392 * [taylor]: Taking taylor expansion of re in im
6.392 * [backup-simplify]: Simplify re into re
6.392 * [taylor]: Taking taylor expansion of (* im im) in im
6.392 * [taylor]: Taking taylor expansion of im in im
6.392 * [backup-simplify]: Simplify 0 into 0
6.392 * [backup-simplify]: Simplify 1 into 1
6.392 * [taylor]: Taking taylor expansion of im in im
6.392 * [backup-simplify]: Simplify 0 into 0
6.392 * [backup-simplify]: Simplify 1 into 1
6.392 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.393 * [backup-simplify]: Simplify (* 0 0) into 0
6.393 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.393 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.393 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.394 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.394 * [backup-simplify]: Simplify (+ 0 0) into 0
6.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.394 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.394 * [taylor]: Taking taylor expansion of (- re) in im
6.394 * [taylor]: Taking taylor expansion of re in im
6.394 * [backup-simplify]: Simplify re into re
6.394 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
6.395 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.395 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
6.395 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.395 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.395 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.395 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.395 * [taylor]: Taking taylor expansion of (* re re) in re
6.395 * [taylor]: Taking taylor expansion of re in re
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify 1 into 1
6.395 * [taylor]: Taking taylor expansion of re in re
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify 1 into 1
6.395 * [taylor]: Taking taylor expansion of (* im im) in re
6.395 * [taylor]: Taking taylor expansion of im in re
6.395 * [backup-simplify]: Simplify im into im
6.395 * [taylor]: Taking taylor expansion of im in re
6.395 * [backup-simplify]: Simplify im into im
6.396 * [backup-simplify]: Simplify (* 0 0) into 0
6.396 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.396 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.396 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.397 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.397 * [backup-simplify]: Simplify (+ 0 0) into 0
6.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.397 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.397 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.397 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.398 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.398 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.398 * [taylor]: Taking taylor expansion of (* re re) in re
6.398 * [taylor]: Taking taylor expansion of re in re
6.398 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify 1 into 1
6.398 * [taylor]: Taking taylor expansion of re in re
6.398 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify 1 into 1
6.398 * [taylor]: Taking taylor expansion of (* im im) in re
6.398 * [taylor]: Taking taylor expansion of im in re
6.398 * [backup-simplify]: Simplify im into im
6.398 * [taylor]: Taking taylor expansion of im in re
6.398 * [backup-simplify]: Simplify im into im
6.398 * [backup-simplify]: Simplify (* 0 0) into 0
6.398 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.398 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.399 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.400 * [backup-simplify]: Simplify (+ 0 0) into 0
6.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.400 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.400 * [taylor]: Taking taylor expansion of (- re) in re
6.400 * [taylor]: Taking taylor expansion of re in re
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 1 into 1
6.400 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re
6.400 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))
6.400 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
6.400 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.400 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.401 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.401 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.401 * [taylor]: Taking taylor expansion of (* re re) in re
6.401 * [taylor]: Taking taylor expansion of re in re
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.401 * [taylor]: Taking taylor expansion of re in re
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.401 * [taylor]: Taking taylor expansion of (* im im) in re
6.401 * [taylor]: Taking taylor expansion of im in re
6.401 * [backup-simplify]: Simplify im into im
6.401 * [taylor]: Taking taylor expansion of im in re
6.401 * [backup-simplify]: Simplify im into im
6.401 * [backup-simplify]: Simplify (* 0 0) into 0
6.401 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.402 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.402 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.402 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.403 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.403 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.403 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.403 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.403 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.403 * [taylor]: Taking taylor expansion of (* re re) in re
6.403 * [taylor]: Taking taylor expansion of re in re
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 1 into 1
6.403 * [taylor]: Taking taylor expansion of re in re
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 1 into 1
6.404 * [taylor]: Taking taylor expansion of (* im im) in re
6.404 * [taylor]: Taking taylor expansion of im in re
6.404 * [backup-simplify]: Simplify im into im
6.404 * [taylor]: Taking taylor expansion of im in re
6.404 * [backup-simplify]: Simplify im into im
6.404 * [backup-simplify]: Simplify (* 0 0) into 0
6.404 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.404 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.404 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.405 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.405 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.406 * [backup-simplify]: Simplify (+ 0 0) into 0
6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.406 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.406 * [taylor]: Taking taylor expansion of (- re) in re
6.406 * [taylor]: Taking taylor expansion of re in re
6.406 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify 1 into 1
6.406 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
6.407 * [backup-simplify]: Simplify (- 0) into 0
6.407 * [backup-simplify]: Simplify (+ im 0) into im
6.407 * [taylor]: Taking taylor expansion of im in im
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify 1 into 1
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
6.407 * [backup-simplify]: Simplify (- 1) into -1
6.408 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.408 * [taylor]: Taking taylor expansion of -1 in im
6.408 * [backup-simplify]: Simplify -1 into -1
6.408 * [backup-simplify]: Simplify -1 into -1
6.408 * [backup-simplify]: Simplify 1 into 1
6.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.409 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.410 * [backup-simplify]: Simplify (+ 1 0) into 1
6.411 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.411 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.413 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.414 * [backup-simplify]: Simplify (+ 1 0) into 1
6.414 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.415 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.416 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
6.417 * [backup-simplify]: Simplify (- 0) into 0
6.417 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
6.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.417 * [taylor]: Taking taylor expansion of 1/2 in im
6.417 * [backup-simplify]: Simplify 1/2 into 1/2
6.417 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.417 * [taylor]: Taking taylor expansion of im in im
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (/ 1 1) into 1
6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.422 * [backup-simplify]: Simplify (+ 0 0) into 0
6.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
6.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.425 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.426 * [backup-simplify]: Simplify (+ 0 0) into 0
6.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
6.427 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
6.427 * [backup-simplify]: Simplify (- 0) into 0
6.428 * [backup-simplify]: Simplify (+ 0 0) into 0
6.428 * [taylor]: Taking taylor expansion of 0 in im
6.428 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.431 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))
6.431 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0
6.431 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im
6.431 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.431 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
6.431 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.431 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.431 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.431 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.431 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.431 * [taylor]: Taking taylor expansion of re in im
6.431 * [backup-simplify]: Simplify re into re
6.431 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.431 * [taylor]: Taking taylor expansion of re in im
6.432 * [backup-simplify]: Simplify re into re
6.432 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.432 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.432 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.432 * [taylor]: Taking taylor expansion of im in im
6.432 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify 1 into 1
6.432 * [backup-simplify]: Simplify (/ 1 1) into 1
6.432 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.432 * [taylor]: Taking taylor expansion of im in im
6.432 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify 1 into 1
6.433 * [backup-simplify]: Simplify (/ 1 1) into 1
6.433 * [backup-simplify]: Simplify (* 1 1) into 1
6.433 * [backup-simplify]: Simplify (+ 0 1) into 1
6.434 * [backup-simplify]: Simplify (sqrt 1) into 1
6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.436 * [backup-simplify]: Simplify (+ 0 0) into 0
6.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.437 * [backup-simplify]: Simplify (sqrt 0) into 0
6.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.439 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.439 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.439 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.439 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.439 * [taylor]: Taking taylor expansion of re in im
6.439 * [backup-simplify]: Simplify re into re
6.439 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.439 * [taylor]: Taking taylor expansion of re in im
6.439 * [backup-simplify]: Simplify re into re
6.439 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.439 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.439 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.439 * [taylor]: Taking taylor expansion of im in im
6.439 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify 1 into 1
6.440 * [backup-simplify]: Simplify (/ 1 1) into 1
6.440 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.440 * [taylor]: Taking taylor expansion of im in im
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.440 * [backup-simplify]: Simplify (/ 1 1) into 1
6.440 * [backup-simplify]: Simplify (* 1 1) into 1
6.441 * [backup-simplify]: Simplify (+ 0 1) into 1
6.441 * [backup-simplify]: Simplify (sqrt 1) into 1
6.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.443 * [backup-simplify]: Simplify (+ 0 0) into 0
6.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.445 * [backup-simplify]: Simplify (sqrt 0) into 0
6.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.446 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im
6.446 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.446 * [taylor]: Taking taylor expansion of re in im
6.446 * [backup-simplify]: Simplify re into re
6.446 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.446 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
6.446 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.446 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
6.446 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.446 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.446 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.446 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.446 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.446 * [taylor]: Taking taylor expansion of re in re
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 1 into 1
6.447 * [backup-simplify]: Simplify (/ 1 1) into 1
6.447 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.447 * [taylor]: Taking taylor expansion of re in re
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify 1 into 1
6.447 * [backup-simplify]: Simplify (/ 1 1) into 1
6.447 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.447 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.447 * [taylor]: Taking taylor expansion of im in re
6.447 * [backup-simplify]: Simplify im into im
6.447 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.447 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.447 * [taylor]: Taking taylor expansion of im in re
6.448 * [backup-simplify]: Simplify im into im
6.448 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.448 * [backup-simplify]: Simplify (* 1 1) into 1
6.448 * [backup-simplify]: Simplify (+ 1 0) into 1
6.449 * [backup-simplify]: Simplify (sqrt 1) into 1
6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.451 * [backup-simplify]: Simplify (+ 0 0) into 0
6.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.452 * [backup-simplify]: Simplify (sqrt 0) into 0
6.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.454 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.454 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.454 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.454 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.454 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.454 * [taylor]: Taking taylor expansion of re in re
6.454 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify 1 into 1
6.454 * [backup-simplify]: Simplify (/ 1 1) into 1
6.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.454 * [taylor]: Taking taylor expansion of re in re
6.454 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify 1 into 1
6.455 * [backup-simplify]: Simplify (/ 1 1) into 1
6.455 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.455 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.455 * [taylor]: Taking taylor expansion of im in re
6.455 * [backup-simplify]: Simplify im into im
6.455 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.455 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.455 * [taylor]: Taking taylor expansion of im in re
6.455 * [backup-simplify]: Simplify im into im
6.455 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.456 * [backup-simplify]: Simplify (* 1 1) into 1
6.456 * [backup-simplify]: Simplify (+ 1 0) into 1
6.456 * [backup-simplify]: Simplify (sqrt 1) into 1
6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.459 * [backup-simplify]: Simplify (+ 0 0) into 0
6.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.460 * [backup-simplify]: Simplify (sqrt 0) into 0
6.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.461 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.462 * [taylor]: Taking taylor expansion of re in re
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify 1 into 1
6.463 * [backup-simplify]: Simplify (/ 1 1) into 1
6.463 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re
6.463 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re)))
6.463 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
6.463 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.463 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.463 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.463 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.463 * [taylor]: Taking taylor expansion of re in re
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [backup-simplify]: Simplify 1 into 1
6.464 * [backup-simplify]: Simplify (/ 1 1) into 1
6.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.464 * [taylor]: Taking taylor expansion of re in re
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify 1 into 1
6.464 * [backup-simplify]: Simplify (/ 1 1) into 1
6.464 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.464 * [taylor]: Taking taylor expansion of im in re
6.464 * [backup-simplify]: Simplify im into im
6.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.464 * [taylor]: Taking taylor expansion of im in re
6.464 * [backup-simplify]: Simplify im into im
6.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.465 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (+ 1 0) into 1
6.466 * [backup-simplify]: Simplify (sqrt 1) into 1
6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.468 * [backup-simplify]: Simplify (+ 0 0) into 0
6.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.469 * [backup-simplify]: Simplify (sqrt 0) into 0
6.471 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.471 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.471 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.471 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.471 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.471 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.471 * [taylor]: Taking taylor expansion of re in re
6.471 * [backup-simplify]: Simplify 0 into 0
6.471 * [backup-simplify]: Simplify 1 into 1
6.472 * [backup-simplify]: Simplify (/ 1 1) into 1
6.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.472 * [taylor]: Taking taylor expansion of re in re
6.472 * [backup-simplify]: Simplify 0 into 0
6.472 * [backup-simplify]: Simplify 1 into 1
6.472 * [backup-simplify]: Simplify (/ 1 1) into 1
6.472 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.472 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.472 * [taylor]: Taking taylor expansion of im in re
6.472 * [backup-simplify]: Simplify im into im
6.472 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.472 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.472 * [taylor]: Taking taylor expansion of im in re
6.472 * [backup-simplify]: Simplify im into im
6.472 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.473 * [backup-simplify]: Simplify (* 1 1) into 1
6.473 * [backup-simplify]: Simplify (+ 1 0) into 1
6.474 * [backup-simplify]: Simplify (sqrt 1) into 1
6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.476 * [backup-simplify]: Simplify (+ 0 0) into 0
6.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.477 * [backup-simplify]: Simplify (sqrt 0) into 0
6.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.479 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.479 * [taylor]: Taking taylor expansion of re in re
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify 1 into 1
6.479 * [backup-simplify]: Simplify (/ 1 1) into 1
6.480 * [backup-simplify]: Simplify (* 0 0) into 0
6.480 * [backup-simplify]: Simplify (+ 0 0) into 0
6.480 * [taylor]: Taking taylor expansion of 0 in im
6.480 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
6.486 * [backup-simplify]: Simplify (- 1) into -1
6.487 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.487 * [taylor]: Taking taylor expansion of -1 in im
6.487 * [backup-simplify]: Simplify -1 into -1
6.490 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.493 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.496 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.497 * [backup-simplify]: Simplify (- 0) into 0
6.498 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.498 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.498 * [taylor]: Taking taylor expansion of +nan.0 in im
6.498 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.498 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.501 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.501 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.502 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.504 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.508 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.508 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.511 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.512 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.514 * [backup-simplify]: Simplify (- 0) into 0
6.515 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.515 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.515 * [taylor]: Taking taylor expansion of +nan.0 in im
6.515 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.515 * [backup-simplify]: Simplify -1 into -1
6.515 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.518 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.519 * [backup-simplify]: Simplify (+ 0 0) into 0
6.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.521 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.523 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.524 * [backup-simplify]: Simplify (+ 0 0) into 0
6.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.525 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.526 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.527 * [backup-simplify]: Simplify (- 0) into 0
6.528 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.528 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.528 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.528 * [taylor]: Taking taylor expansion of +nan.0 in im
6.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.528 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.528 * [taylor]: Taking taylor expansion of im in im
6.528 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify 1 into 1
6.528 * [backup-simplify]: Simplify (* 1 1) into 1
6.528 * [backup-simplify]: Simplify (/ 1 1) into 1
6.528 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.528 * [taylor]: Taking taylor expansion of +nan.0 in im
6.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.529 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.529 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.529 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.530 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.530 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.530 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.531 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.531 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re))))) (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))
6.531 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0
6.531 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im
6.532 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.532 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
6.532 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.532 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.532 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.532 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.532 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.532 * [taylor]: Taking taylor expansion of -1 in im
6.532 * [backup-simplify]: Simplify -1 into -1
6.532 * [taylor]: Taking taylor expansion of re in im
6.532 * [backup-simplify]: Simplify re into re
6.532 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.532 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.532 * [taylor]: Taking taylor expansion of -1 in im
6.532 * [backup-simplify]: Simplify -1 into -1
6.532 * [taylor]: Taking taylor expansion of re in im
6.532 * [backup-simplify]: Simplify re into re
6.532 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.532 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.532 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.532 * [taylor]: Taking taylor expansion of -1 in im
6.532 * [backup-simplify]: Simplify -1 into -1
6.532 * [taylor]: Taking taylor expansion of im in im
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 1 into 1
6.532 * [backup-simplify]: Simplify (/ -1 1) into -1
6.532 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.532 * [taylor]: Taking taylor expansion of -1 in im
6.532 * [backup-simplify]: Simplify -1 into -1
6.532 * [taylor]: Taking taylor expansion of im in im
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 1 into 1
6.533 * [backup-simplify]: Simplify (/ -1 1) into -1
6.533 * [backup-simplify]: Simplify (* -1 -1) into 1
6.533 * [backup-simplify]: Simplify (+ 0 1) into 1
6.534 * [backup-simplify]: Simplify (sqrt 1) into 1
6.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.535 * [backup-simplify]: Simplify (+ 0 0) into 0
6.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.536 * [backup-simplify]: Simplify (sqrt 0) into 0
6.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.537 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.537 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.537 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.537 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.537 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.537 * [taylor]: Taking taylor expansion of -1 in im
6.537 * [backup-simplify]: Simplify -1 into -1
6.537 * [taylor]: Taking taylor expansion of re in im
6.537 * [backup-simplify]: Simplify re into re
6.537 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.537 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.537 * [taylor]: Taking taylor expansion of -1 in im
6.537 * [backup-simplify]: Simplify -1 into -1
6.537 * [taylor]: Taking taylor expansion of re in im
6.537 * [backup-simplify]: Simplify re into re
6.537 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.537 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.537 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.537 * [taylor]: Taking taylor expansion of -1 in im
6.537 * [backup-simplify]: Simplify -1 into -1
6.537 * [taylor]: Taking taylor expansion of im in im
6.537 * [backup-simplify]: Simplify 0 into 0
6.537 * [backup-simplify]: Simplify 1 into 1
6.538 * [backup-simplify]: Simplify (/ -1 1) into -1
6.538 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.538 * [taylor]: Taking taylor expansion of -1 in im
6.538 * [backup-simplify]: Simplify -1 into -1
6.538 * [taylor]: Taking taylor expansion of im in im
6.538 * [backup-simplify]: Simplify 0 into 0
6.538 * [backup-simplify]: Simplify 1 into 1
6.538 * [backup-simplify]: Simplify (/ -1 1) into -1
6.538 * [backup-simplify]: Simplify (* -1 -1) into 1
6.538 * [backup-simplify]: Simplify (+ 0 1) into 1
6.539 * [backup-simplify]: Simplify (sqrt 1) into 1
6.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.540 * [backup-simplify]: Simplify (+ 0 0) into 0
6.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.541 * [backup-simplify]: Simplify (sqrt 0) into 0
6.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.542 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.542 * [taylor]: Taking taylor expansion of re in im
6.542 * [backup-simplify]: Simplify re into re
6.542 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.542 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
6.542 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.542 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
6.542 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.542 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.542 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.542 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.542 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.542 * [taylor]: Taking taylor expansion of -1 in re
6.542 * [backup-simplify]: Simplify -1 into -1
6.542 * [taylor]: Taking taylor expansion of re in re
6.542 * [backup-simplify]: Simplify 0 into 0
6.542 * [backup-simplify]: Simplify 1 into 1
6.543 * [backup-simplify]: Simplify (/ -1 1) into -1
6.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.543 * [taylor]: Taking taylor expansion of -1 in re
6.543 * [backup-simplify]: Simplify -1 into -1
6.543 * [taylor]: Taking taylor expansion of re in re
6.543 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify 1 into 1
6.543 * [backup-simplify]: Simplify (/ -1 1) into -1
6.543 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.543 * [taylor]: Taking taylor expansion of -1 in re
6.543 * [backup-simplify]: Simplify -1 into -1
6.543 * [taylor]: Taking taylor expansion of im in re
6.543 * [backup-simplify]: Simplify im into im
6.543 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.543 * [taylor]: Taking taylor expansion of -1 in re
6.543 * [backup-simplify]: Simplify -1 into -1
6.543 * [taylor]: Taking taylor expansion of im in re
6.543 * [backup-simplify]: Simplify im into im
6.543 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.543 * [backup-simplify]: Simplify (* -1 -1) into 1
6.544 * [backup-simplify]: Simplify (+ 1 0) into 1
6.544 * [backup-simplify]: Simplify (sqrt 1) into 1
6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.545 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.546 * [backup-simplify]: Simplify (+ 0 0) into 0
6.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.546 * [backup-simplify]: Simplify (sqrt 0) into 0
6.547 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.547 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.547 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.547 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.547 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.547 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.547 * [taylor]: Taking taylor expansion of -1 in re
6.547 * [backup-simplify]: Simplify -1 into -1
6.547 * [taylor]: Taking taylor expansion of re in re
6.547 * [backup-simplify]: Simplify 0 into 0
6.547 * [backup-simplify]: Simplify 1 into 1
6.548 * [backup-simplify]: Simplify (/ -1 1) into -1
6.548 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.548 * [taylor]: Taking taylor expansion of -1 in re
6.548 * [backup-simplify]: Simplify -1 into -1
6.548 * [taylor]: Taking taylor expansion of re in re
6.548 * [backup-simplify]: Simplify 0 into 0
6.548 * [backup-simplify]: Simplify 1 into 1
6.548 * [backup-simplify]: Simplify (/ -1 1) into -1
6.548 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.548 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.548 * [taylor]: Taking taylor expansion of -1 in re
6.548 * [backup-simplify]: Simplify -1 into -1
6.548 * [taylor]: Taking taylor expansion of im in re
6.548 * [backup-simplify]: Simplify im into im
6.548 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.548 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.548 * [taylor]: Taking taylor expansion of -1 in re
6.548 * [backup-simplify]: Simplify -1 into -1
6.548 * [taylor]: Taking taylor expansion of im in re
6.548 * [backup-simplify]: Simplify im into im
6.548 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.548 * [backup-simplify]: Simplify (* -1 -1) into 1
6.549 * [backup-simplify]: Simplify (+ 1 0) into 1
6.549 * [backup-simplify]: Simplify (sqrt 1) into 1
6.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.550 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.551 * [backup-simplify]: Simplify (+ 0 0) into 0
6.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.551 * [backup-simplify]: Simplify (sqrt 0) into 0
6.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.552 * [taylor]: Taking taylor expansion of re in re
6.552 * [backup-simplify]: Simplify 0 into 0
6.552 * [backup-simplify]: Simplify 1 into 1
6.552 * [backup-simplify]: Simplify (/ 1 1) into 1
6.552 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re
6.553 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re))
6.553 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
6.553 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.553 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.553 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.553 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.553 * [taylor]: Taking taylor expansion of -1 in re
6.553 * [backup-simplify]: Simplify -1 into -1
6.553 * [taylor]: Taking taylor expansion of re in re
6.553 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [backup-simplify]: Simplify (/ -1 1) into -1
6.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.553 * [taylor]: Taking taylor expansion of -1 in re
6.553 * [backup-simplify]: Simplify -1 into -1
6.553 * [taylor]: Taking taylor expansion of re in re
6.553 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify 1 into 1
6.553 * [backup-simplify]: Simplify (/ -1 1) into -1
6.553 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.553 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.554 * [taylor]: Taking taylor expansion of -1 in re
6.554 * [backup-simplify]: Simplify -1 into -1
6.554 * [taylor]: Taking taylor expansion of im in re
6.554 * [backup-simplify]: Simplify im into im
6.554 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.554 * [taylor]: Taking taylor expansion of -1 in re
6.554 * [backup-simplify]: Simplify -1 into -1
6.554 * [taylor]: Taking taylor expansion of im in re
6.554 * [backup-simplify]: Simplify im into im
6.554 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.554 * [backup-simplify]: Simplify (* -1 -1) into 1
6.554 * [backup-simplify]: Simplify (+ 1 0) into 1
6.554 * [backup-simplify]: Simplify (sqrt 1) into 1
6.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.556 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.556 * [backup-simplify]: Simplify (+ 0 0) into 0
6.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.557 * [backup-simplify]: Simplify (sqrt 0) into 0
6.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.558 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.558 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.558 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.558 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.558 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.558 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.558 * [taylor]: Taking taylor expansion of -1 in re
6.558 * [backup-simplify]: Simplify -1 into -1
6.558 * [taylor]: Taking taylor expansion of re in re
6.558 * [backup-simplify]: Simplify 0 into 0
6.558 * [backup-simplify]: Simplify 1 into 1
6.558 * [backup-simplify]: Simplify (/ -1 1) into -1
6.558 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.558 * [taylor]: Taking taylor expansion of -1 in re
6.558 * [backup-simplify]: Simplify -1 into -1
6.558 * [taylor]: Taking taylor expansion of re in re
6.558 * [backup-simplify]: Simplify 0 into 0
6.558 * [backup-simplify]: Simplify 1 into 1
6.558 * [backup-simplify]: Simplify (/ -1 1) into -1
6.559 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.559 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.559 * [taylor]: Taking taylor expansion of -1 in re
6.559 * [backup-simplify]: Simplify -1 into -1
6.559 * [taylor]: Taking taylor expansion of im in re
6.559 * [backup-simplify]: Simplify im into im
6.559 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.559 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.559 * [taylor]: Taking taylor expansion of -1 in re
6.559 * [backup-simplify]: Simplify -1 into -1
6.559 * [taylor]: Taking taylor expansion of im in re
6.559 * [backup-simplify]: Simplify im into im
6.559 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.559 * [backup-simplify]: Simplify (* -1 -1) into 1
6.559 * [backup-simplify]: Simplify (+ 1 0) into 1
6.559 * [backup-simplify]: Simplify (sqrt 1) into 1
6.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.561 * [backup-simplify]: Simplify (+ 0 0) into 0
6.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.562 * [backup-simplify]: Simplify (sqrt 0) into 0
6.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.563 * [taylor]: Taking taylor expansion of re in re
6.563 * [backup-simplify]: Simplify 0 into 0
6.563 * [backup-simplify]: Simplify 1 into 1
6.563 * [backup-simplify]: Simplify (/ 1 1) into 1
6.563 * [backup-simplify]: Simplify (* 0 0) into 0
6.563 * [backup-simplify]: Simplify (+ 0 0) into 0
6.563 * [taylor]: Taking taylor expansion of 0 in im
6.563 * [backup-simplify]: Simplify 0 into 0
6.564 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
6.564 * [backup-simplify]: Simplify (+ 0 1) into 1
6.564 * [taylor]: Taking taylor expansion of 1 in im
6.564 * [backup-simplify]: Simplify 1 into 1
6.566 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.568 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.569 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
6.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.570 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.570 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.570 * [taylor]: Taking taylor expansion of +nan.0 in im
6.570 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.570 * [backup-simplify]: Simplify 0 into 0
6.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.572 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.572 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.573 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.575 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.577 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.577 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.579 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
6.580 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.581 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
6.581 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.581 * [taylor]: Taking taylor expansion of +nan.0 in im
6.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.581 * [backup-simplify]: Simplify 1 into 1
6.581 * [backup-simplify]: Simplify 0 into 0
6.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.583 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.583 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.583 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.583 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.583 * [backup-simplify]: Simplify (+ 0 0) into 0
6.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.584 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.586 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.586 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.587 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.587 * [backup-simplify]: Simplify (+ 0 0) into 0
6.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.588 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.594 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.595 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
6.595 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.595 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.595 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.595 * [taylor]: Taking taylor expansion of +nan.0 in im
6.595 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.595 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.595 * [taylor]: Taking taylor expansion of im in im
6.595 * [backup-simplify]: Simplify 0 into 0
6.595 * [backup-simplify]: Simplify 1 into 1
6.595 * [backup-simplify]: Simplify (* 1 1) into 1
6.595 * [backup-simplify]: Simplify (/ 1 1) into 1
6.596 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.596 * [taylor]: Taking taylor expansion of +nan.0 in im
6.596 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.596 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.596 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.597 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.597 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.597 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.597 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.598 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.598 * * * [progress]: simplifying candidates
6.600 * [simplify]: Simplifying:
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (expm1 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (log1p (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (+ 1 1)
  (+ (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (log (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (exp (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* 1 1)
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 1)
  (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- im re)
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
  (- (+ re (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
6.601 * * [simplify]: iteration 0: 73 enodes
6.623 * * [simplify]: iteration 1: 159 enodes
6.673 * * [simplify]: iteration 2: 685 enodes
7.584 * * [simplify]: iteration complete: 5001 enodes
7.584 * * [simplify]: Extracting #0: cost 21 inf + 0
7.586 * * [simplify]: Extracting #1: cost 878 inf + 2
7.591 * * [simplify]: Extracting #2: cost 1553 inf + 659
7.603 * * [simplify]: Extracting #3: cost 1396 inf + 36364
7.634 * * [simplify]: Extracting #4: cost 722 inf + 165836
7.715 * * [simplify]: Extracting #5: cost 139 inf + 313861
7.823 * * [simplify]: Extracting #6: cost 1 inf + 351437
7.911 * * [simplify]: Extracting #7: cost 0 inf + 351689
8.013 * [simplify]: Simplified to:
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (hypot re im)
  (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))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (hypot re im)
  (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))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  1
  1
  2
  1
  1
  (* (- (hypot re im) re) (- (hypot re im) re))
  (- (hypot re im) re)
  (* (- (hypot re im) re) (- (hypot re im) re))
  2
  (log (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (- (hypot re im) re) (* (- (hypot re im) re) (- (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)))
  (* (- (hypot re im) re) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  (- (hypot re im) re)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  1
  2
  1
  (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))))
  (* (fabs (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (sqrt (- (hypot re im) re))
  (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))
  (- (hypot re im) re)
  (- im re)
  (- (* (* +nan.0 (/ im re)) (/ im re)) (- +nan.0 (- re)))
  (- (* (* +nan.0 (/ im re)) (/ im re)) (- +nan.0 (- re)))
  (- im re)
  (- (* (* +nan.0 (/ im re)) (/ im re)) (- +nan.0 (- re)))
  (- (* (* +nan.0 (/ im re)) (/ im re)) (- +nan.0 (- re)))
  (- im re)
  (- (* (* +nan.0 (/ im re)) (/ im re)) (- +nan.0 (- re)))
  (- (* (* +nan.0 (/ im re)) (/ im re)) (- +nan.0 (- re)))
8.026 * * * [progress]: adding candidates to table
8.473 * [progress]: [Phase 3 of 3] Extracting.
8.474 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (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 (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (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 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>)
8.478 * * * [regime-changes]: Trying 2 branch expressions: (im re)
8.479 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (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 (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (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 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>)
8.552 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (sqrt (fma (sqrt (hypot re im)) (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 (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (exp (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (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 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) 2.0))))>)
8.633 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
8.634 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
8.634 * * [simplify]: iteration 0: 9 enodes
8.634 * * [simplify]: iteration 1: 11 enodes
8.635 * * [simplify]: iteration complete: 11 enodes
8.635 * * [simplify]: Extracting #0: cost 1 inf + 0
8.635 * * [simplify]: Extracting #1: cost 3 inf + 0
8.635 * * [simplify]: Extracting #2: cost 3 inf + 1
8.635 * * [simplify]: Extracting #3: cost 5 inf + 1
8.635 * * [simplify]: Extracting #4: cost 6 inf + 2
8.635 * * [simplify]: Extracting #5: cost 6 inf + 3
8.635 * * [simplify]: Extracting #6: cost 0 inf + 693
8.635 * [simplify]: Simplified to:
  (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
12.150 * [regime-testing]: Baseline error score: 13.156042665153475
12.168 * [regime-testing]: Oracle error score: 12.974301373021945
12.205 * [regime-testing]: End program error score: 13.156042665153475