0.927 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.134 * * * [progress]: [2/2] Setting up program.
0.144 * [progress]: [Phase 2 of 3] Improving.
0.148 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.149 * * [simplify]: iteration 0: 12 enodes
0.157 * * [simplify]: iteration 1: 19 enodes
0.161 * * [simplify]: iteration 2: 28 enodes
0.220 * * [simplify]: iteration 3: 36 enodes
0.231 * * [simplify]: iteration 4: 43 enodes
0.241 * * [simplify]: iteration 5: 45 enodes
0.251 * * [simplify]: iteration complete: 45 enodes
0.252 * * [simplify]: Extracting #0: cost 1 inf + 0
0.252 * * [simplify]: Extracting #1: cost 3 inf + 0
0.253 * * [simplify]: Extracting #2: cost 3 inf + 1
0.253 * * [simplify]: Extracting #3: cost 12 inf + 1
0.253 * * [simplify]: Extracting #4: cost 9 inf + 12
0.253 * * [simplify]: Extracting #5: cost 7 inf + 27
0.253 * * [simplify]: Extracting #6: cost 1 inf + 63
0.253 * * [simplify]: Extracting #7: cost 0 inf + 65
0.253 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
0.267 * * [progress]: iteration 1 / 4
0.267 * * * [progress]: picking best candidate
0.274 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
0.274 * * * [progress]: localizing error
0.288 * * * [progress]: generating rewritten candidates
0.288 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.296 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.303 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1)
0.308 * * * [progress]: generating series expansions
0.308 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.314 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
0.314 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
0.315 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.315 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.317 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.317 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.317 * [taylor]: Taking taylor expansion of (* re re) in im
0.317 * [taylor]: Taking taylor expansion of re in im
0.317 * [backup-simplify]: Simplify re into re
0.317 * [taylor]: Taking taylor expansion of re in im
0.317 * [backup-simplify]: Simplify re into re
0.317 * [taylor]: Taking taylor expansion of (* im im) in im
0.317 * [taylor]: Taking taylor expansion of im in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [taylor]: Taking taylor expansion of im in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.321 * [backup-simplify]: Simplify (* 0 0) into 0
0.322 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.322 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.322 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.324 * [taylor]: Taking taylor expansion of re in im
0.324 * [backup-simplify]: Simplify re into re
0.324 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.324 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.324 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.324 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.324 * [taylor]: Taking taylor expansion of (* re re) in re
0.324 * [taylor]: Taking taylor expansion of re in re
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [taylor]: Taking taylor expansion of re in re
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [taylor]: Taking taylor expansion of (* im im) in re
0.324 * [taylor]: Taking taylor expansion of im in re
0.324 * [backup-simplify]: Simplify im into im
0.324 * [taylor]: Taking taylor expansion of im in re
0.325 * [backup-simplify]: Simplify im into im
0.325 * [backup-simplify]: Simplify (* 0 0) into 0
0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.325 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.325 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.326 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.327 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.327 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.327 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.327 * [taylor]: Taking taylor expansion of (* re re) in re
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [taylor]: Taking taylor expansion of (* im im) in re
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.328 * [backup-simplify]: Simplify (* 0 0) into 0
0.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.328 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.329 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (- 0) into 0
0.344 * [backup-simplify]: Simplify (+ im 0) into im
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 0 into 0
0.345 * [backup-simplify]: Simplify (- 1) into -1
0.345 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.345 * [taylor]: Taking taylor expansion of -1 in im
0.345 * [backup-simplify]: Simplify -1 into -1
0.345 * [backup-simplify]: Simplify -1 into -1
0.346 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.347 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.348 * [backup-simplify]: Simplify (+ 1 0) into 1
0.349 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.349 * [backup-simplify]: Simplify (- 0) into 0
0.349 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.350 * [taylor]: Taking taylor expansion of 1/2 in im
0.350 * [backup-simplify]: Simplify 1/2 into 1/2
0.350 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.350 * [taylor]: Taking taylor expansion of im in im
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.355 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [taylor]: Taking taylor expansion of 0 in im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.359 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.359 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.359 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
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 im
0.359 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.359 * [taylor]: Taking taylor expansion of re in im
0.359 * [backup-simplify]: Simplify re into re
0.359 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.359 * [taylor]: Taking taylor expansion of re in im
0.359 * [backup-simplify]: Simplify re into re
0.359 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.359 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.359 * [taylor]: Taking taylor expansion of im in im
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 im) in im
0.360 * [taylor]: Taking taylor expansion of im in im
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (+ 0 1) into 1
0.362 * [backup-simplify]: Simplify (sqrt 1) into 1
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.365 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.365 * [taylor]: Taking taylor expansion of re in im
0.365 * [backup-simplify]: Simplify re into re
0.365 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.365 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.366 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.366 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.366 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
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
0.366 * [backup-simplify]: Simplify (/ 1 1) into 1
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 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.367 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.367 * [taylor]: Taking taylor expansion of im in re
0.367 * [backup-simplify]: Simplify im into im
0.367 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.367 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.367 * [taylor]: Taking taylor expansion of im in re
0.367 * [backup-simplify]: Simplify im into im
0.367 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 1 0) into 1
0.369 * [backup-simplify]: Simplify (sqrt 1) into 1
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.373 * [taylor]: Taking taylor expansion of re in re
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.373 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.373 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.373 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.373 * [taylor]: Taking taylor expansion of re in re
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.374 * [taylor]: Taking taylor expansion of re in re
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.375 * [taylor]: Taking taylor expansion of im in re
0.375 * [backup-simplify]: Simplify im into im
0.375 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.375 * [taylor]: Taking taylor expansion of im in re
0.375 * [backup-simplify]: Simplify im into im
0.375 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (+ 1 0) into 1
0.376 * [backup-simplify]: Simplify (sqrt 1) into 1
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.380 * [taylor]: Taking taylor expansion of re in re
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [backup-simplify]: Simplify (- 1) into -1
0.381 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.381 * [taylor]: Taking taylor expansion of 0 in im
0.381 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (- 0) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [taylor]: Taking taylor expansion of 0 in im
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.386 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.386 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.388 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (- 0) into 0
0.389 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.390 * [taylor]: Taking taylor expansion of 1/2 in im
0.390 * [backup-simplify]: Simplify 1/2 into 1/2
0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.390 * [taylor]: Taking taylor expansion of im in im
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* 1 1) into 1
0.391 * [backup-simplify]: Simplify (/ 1 1) into 1
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (- 0) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.403 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.403 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.403 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.403 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.403 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.403 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.403 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.403 * [taylor]: Taking taylor expansion of -1 in im
0.403 * [backup-simplify]: Simplify -1 into -1
0.403 * [taylor]: Taking taylor expansion of re in im
0.403 * [backup-simplify]: Simplify re into re
0.403 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.403 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.403 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of re in im
0.404 * [backup-simplify]: Simplify re into re
0.404 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.404 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.404 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.404 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (/ -1 1) into -1
0.404 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.404 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (/ -1 1) into -1
0.405 * [backup-simplify]: Simplify (* -1 -1) into 1
0.406 * [backup-simplify]: Simplify (+ 0 1) into 1
0.406 * [backup-simplify]: Simplify (sqrt 1) into 1
0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.410 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.410 * [taylor]: Taking taylor expansion of re in im
0.410 * [backup-simplify]: Simplify re into re
0.410 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.410 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.410 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.411 * [taylor]: Taking taylor expansion of -1 in re
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of re in re
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (/ -1 1) into -1
0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.411 * [taylor]: Taking taylor expansion of -1 in re
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of re in re
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (/ -1 1) into -1
0.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.412 * [taylor]: Taking taylor expansion of -1 in re
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of im in re
0.412 * [backup-simplify]: Simplify im into im
0.412 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.412 * [taylor]: Taking taylor expansion of -1 in re
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of im in re
0.412 * [backup-simplify]: Simplify im into im
0.412 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.413 * [backup-simplify]: Simplify (* -1 -1) into 1
0.413 * [backup-simplify]: Simplify (+ 1 0) into 1
0.414 * [backup-simplify]: Simplify (sqrt 1) into 1
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.417 * [taylor]: Taking taylor expansion of re in re
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (/ 1 1) into 1
0.418 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.418 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.418 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.418 * [taylor]: Taking taylor expansion of -1 in re
0.418 * [backup-simplify]: Simplify -1 into -1
0.418 * [taylor]: Taking taylor expansion of re in re
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (/ -1 1) into -1
0.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.419 * [taylor]: Taking taylor expansion of -1 in re
0.419 * [backup-simplify]: Simplify -1 into -1
0.419 * [taylor]: Taking taylor expansion of re in re
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (/ -1 1) into -1
0.419 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.419 * [taylor]: Taking taylor expansion of -1 in re
0.419 * [backup-simplify]: Simplify -1 into -1
0.419 * [taylor]: Taking taylor expansion of im in re
0.419 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.420 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of im in re
0.420 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.420 * [backup-simplify]: Simplify (* -1 -1) into 1
0.421 * [backup-simplify]: Simplify (+ 1 0) into 1
0.421 * [backup-simplify]: Simplify (sqrt 1) into 1
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.424 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.424 * [taylor]: Taking taylor expansion of re in re
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (/ 1 1) into 1
0.425 * [backup-simplify]: Simplify (+ 1 1) into 2
0.425 * [taylor]: Taking taylor expansion of 2 in im
0.425 * [backup-simplify]: Simplify 2 into 2
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.427 * [taylor]: Taking taylor expansion of 0 in im
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 2 into 2
0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.430 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.430 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.431 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.433 * [taylor]: Taking taylor expansion of 1/2 in im
0.433 * [backup-simplify]: Simplify 1/2 into 1/2
0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.433 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.433 * [taylor]: Taking taylor expansion of im in im
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [taylor]: Taking taylor expansion of 0 in im
0.442 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.446 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.446 * [backup-simplify]: Simplify (sqrt (* (- (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot re im) re)))
0.446 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0
0.446 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im
0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.446 * [taylor]: Taking taylor expansion of 2.0 in im
0.446 * [backup-simplify]: Simplify 2.0 into 2.0
0.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.447 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
0.447 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
0.447 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.448 * [taylor]: Taking taylor expansion of (* re re) in im
0.448 * [taylor]: Taking taylor expansion of re in im
0.448 * [backup-simplify]: Simplify re into re
0.448 * [taylor]: Taking taylor expansion of re in im
0.448 * [backup-simplify]: Simplify re into re
0.448 * [taylor]: Taking taylor expansion of (* im im) in im
0.448 * [taylor]: Taking taylor expansion of im in im
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [taylor]: Taking taylor expansion of im in im
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.448 * [backup-simplify]: Simplify (* 0 0) into 0
0.449 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.449 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.449 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.449 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.450 * [taylor]: Taking taylor expansion of re in im
0.450 * [backup-simplify]: Simplify re into re
0.450 * [backup-simplify]: Simplify (- re) into (- re)
0.450 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.451 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.453 * [backup-simplify]: Simplify (+ 0 1) into 1
0.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.454 * [backup-simplify]: Simplify (- 0) into 0
0.454 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.454 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.455 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.457 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.457 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.457 * [taylor]: Taking taylor expansion of 2.0 in re
0.457 * [backup-simplify]: Simplify 2.0 into 2.0
0.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.459 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
0.459 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.459 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.459 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.459 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.459 * [taylor]: Taking taylor expansion of (* re re) in re
0.459 * [taylor]: Taking taylor expansion of re in re
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of re in re
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of (* im im) in re
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.460 * [backup-simplify]: Simplify (* 0 0) into 0
0.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.460 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.460 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.462 * [taylor]: Taking taylor expansion of re in re
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (- 0) into 0
0.462 * [backup-simplify]: Simplify (+ im 0) into im
0.462 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.463 * [backup-simplify]: Simplify (- 1) into -1
0.463 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.463 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.463 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.463 * [taylor]: Taking taylor expansion of 2.0 in re
0.463 * [backup-simplify]: Simplify 2.0 into 2.0
0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.465 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
0.465 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
0.465 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.465 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.465 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.465 * [taylor]: Taking taylor expansion of (* re re) in re
0.465 * [taylor]: Taking taylor expansion of re in re
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [taylor]: Taking taylor expansion of re in re
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [taylor]: Taking taylor expansion of (* im im) in re
0.466 * [taylor]: Taking taylor expansion of im in re
0.466 * [backup-simplify]: Simplify im into im
0.466 * [taylor]: Taking taylor expansion of im in re
0.466 * [backup-simplify]: Simplify im into im
0.466 * [backup-simplify]: Simplify (* 0 0) into 0
0.466 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.466 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.466 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.467 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.468 * [taylor]: Taking taylor expansion of re in re
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.469 * [backup-simplify]: Simplify (+ im 0) into im
0.469 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.469 * [backup-simplify]: Simplify (- 1) into -1
0.470 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.470 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.470 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.471 * [taylor]: Taking taylor expansion of 2.0 in im
0.471 * [backup-simplify]: Simplify 2.0 into 2.0
0.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.472 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.472 * [taylor]: Taking taylor expansion of im in im
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.472 * [backup-simplify]: Simplify (sqrt 0) into 0
0.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.476 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.478 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.478 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.478 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.478 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.478 * [taylor]: Taking taylor expansion of 1/2 in im
0.478 * [backup-simplify]: Simplify 1/2 into 1/2
0.478 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.479 * [taylor]: Taking taylor expansion of 2.0 in im
0.479 * [backup-simplify]: Simplify 2.0 into 2.0
0.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.480 * [taylor]: Taking taylor expansion of im in im
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [backup-simplify]: Simplify (sqrt 0) into 0
0.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.491 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.494 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.503 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.504 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.508 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.509 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.512 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
0.512 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))
0.512 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
0.512 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.512 * [taylor]: Taking taylor expansion of 2.0 in im
0.512 * [backup-simplify]: Simplify 2.0 into 2.0
0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.513 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.513 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.513 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.513 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.513 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.513 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.513 * [taylor]: Taking taylor expansion of re in im
0.513 * [backup-simplify]: Simplify re into re
0.513 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.513 * [taylor]: Taking taylor expansion of re in im
0.513 * [backup-simplify]: Simplify re into re
0.514 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.514 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.514 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.514 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (+ 0 1) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.517 * [taylor]: Taking taylor expansion of re in im
0.517 * [backup-simplify]: Simplify re into re
0.517 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.517 * [backup-simplify]: Simplify (+ 1 0) into 1
0.518 * [backup-simplify]: Simplify (sqrt 0) into 0
0.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.518 * [taylor]: Taking taylor expansion of 2.0 in re
0.518 * [backup-simplify]: Simplify 2.0 into 2.0
0.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.519 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.519 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.519 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.519 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.519 * [taylor]: Taking taylor expansion of re in re
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.520 * [taylor]: Taking taylor expansion of re in re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (+ 1 0) into 1
0.521 * [backup-simplify]: Simplify (sqrt 1) into 1
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.523 * [taylor]: Taking taylor expansion of re in re
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [backup-simplify]: Simplify (- 1) into -1
0.524 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.526 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.527 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.527 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (- 0) into 0
0.529 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.529 * [backup-simplify]: Simplify (sqrt 0) into 0
0.530 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.530 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.530 * [taylor]: Taking taylor expansion of 2.0 in re
0.530 * [backup-simplify]: Simplify 2.0 into 2.0
0.531 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.532 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.532 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.532 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.532 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.532 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.532 * [taylor]: Taking taylor expansion of re in re
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (/ 1 1) into 1
0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.532 * [taylor]: Taking taylor expansion of re in re
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.533 * [taylor]: Taking taylor expansion of im in re
0.533 * [backup-simplify]: Simplify im into im
0.533 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.533 * [taylor]: Taking taylor expansion of im in re
0.533 * [backup-simplify]: Simplify im into im
0.533 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [backup-simplify]: Simplify (sqrt 1) into 1
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.538 * [taylor]: Taking taylor expansion of re in re
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.539 * [backup-simplify]: Simplify (- 1) into -1
0.539 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (- 0) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.544 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.546 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.547 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.548 * [backup-simplify]: Simplify (sqrt 0) into 0
0.548 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.549 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.549 * [taylor]: Taking taylor expansion of 0 in im
0.549 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.550 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.550 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.550 * [taylor]: Taking taylor expansion of +nan.0 in im
0.550 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.550 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.550 * [taylor]: Taking taylor expansion of 2.0 in im
0.550 * [backup-simplify]: Simplify 2.0 into 2.0
0.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.552 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.552 * [taylor]: Taking taylor expansion of im in im
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (* 1 1) into 1
0.553 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.556 * [backup-simplify]: Simplify (- 0) into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.560 * [backup-simplify]: Simplify (+ 0 0) into 0
0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.565 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.565 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.565 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.565 * [taylor]: Taking taylor expansion of +nan.0 in im
0.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.566 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.566 * [taylor]: Taking taylor expansion of 2.0 in im
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.567 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.567 * [taylor]: Taking taylor expansion of im in im
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.569 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.580 * [backup-simplify]: Simplify (- 0) into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.583 * [backup-simplify]: Simplify (- 0) into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (- 0) into 0
0.588 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.588 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.590 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.590 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.590 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.590 * [taylor]: Taking taylor expansion of +nan.0 in im
0.590 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.590 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.590 * [taylor]: Taking taylor expansion of 2.0 in im
0.590 * [backup-simplify]: Simplify 2.0 into 2.0
0.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.591 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.591 * [taylor]: Taking taylor expansion of im in im
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.592 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.592 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.592 * [taylor]: Taking taylor expansion of +nan.0 in im
0.592 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.592 * [taylor]: Taking taylor expansion of 2.0 in im
0.592 * [backup-simplify]: Simplify 2.0 into 2.0
0.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.593 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.593 * [taylor]: Taking taylor expansion of im in im
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (* 1 1) into 1
0.594 * [backup-simplify]: Simplify (* 1 1) into 1
0.594 * [backup-simplify]: Simplify (* 1 1) into 1
0.594 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.630 * [backup-simplify]: Simplify (- 0) into 0
0.630 * [backup-simplify]: Simplify (+ 0 0) into 0
0.630 * [backup-simplify]: Simplify (- 0) into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.630 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.630 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.630 * [taylor]: Taking taylor expansion of 2.0 in im
0.630 * [backup-simplify]: Simplify 2.0 into 2.0
0.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.631 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.631 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.631 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.632 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.632 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.632 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.632 * [taylor]: Taking taylor expansion of -1 in im
0.632 * [backup-simplify]: Simplify -1 into -1
0.632 * [taylor]: Taking taylor expansion of re in im
0.632 * [backup-simplify]: Simplify re into re
0.632 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.632 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.632 * [taylor]: Taking taylor expansion of -1 in im
0.632 * [backup-simplify]: Simplify -1 into -1
0.632 * [taylor]: Taking taylor expansion of re in im
0.632 * [backup-simplify]: Simplify re into re
0.632 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.632 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.632 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.632 * [taylor]: Taking taylor expansion of -1 in im
0.632 * [backup-simplify]: Simplify -1 into -1
0.632 * [taylor]: Taking taylor expansion of im in im
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify 1 into 1
0.632 * [backup-simplify]: Simplify (/ -1 1) into -1
0.632 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.632 * [taylor]: Taking taylor expansion of -1 in im
0.632 * [backup-simplify]: Simplify -1 into -1
0.632 * [taylor]: Taking taylor expansion of im in im
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify 1 into 1
0.633 * [backup-simplify]: Simplify (/ -1 1) into -1
0.633 * [backup-simplify]: Simplify (* -1 -1) into 1
0.633 * [backup-simplify]: Simplify (+ 0 1) into 1
0.633 * [backup-simplify]: Simplify (sqrt 1) into 1
0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.635 * [backup-simplify]: Simplify (+ 0 0) into 0
0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.635 * [taylor]: Taking taylor expansion of re in im
0.635 * [backup-simplify]: Simplify re into re
0.635 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.636 * [backup-simplify]: Simplify (+ 1 0) into 1
0.636 * [backup-simplify]: Simplify (sqrt 0) into 0
0.637 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.637 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.637 * [taylor]: Taking taylor expansion of 2.0 in re
0.637 * [backup-simplify]: Simplify 2.0 into 2.0
0.637 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.638 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.638 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.638 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.638 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.638 * [taylor]: Taking taylor expansion of -1 in re
0.638 * [backup-simplify]: Simplify -1 into -1
0.638 * [taylor]: Taking taylor expansion of re in re
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 1 into 1
0.638 * [backup-simplify]: Simplify (/ -1 1) into -1
0.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.638 * [taylor]: Taking taylor expansion of -1 in re
0.638 * [backup-simplify]: Simplify -1 into -1
0.638 * [taylor]: Taking taylor expansion of re in re
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 1 into 1
0.639 * [backup-simplify]: Simplify (/ -1 1) into -1
0.639 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.639 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.639 * [taylor]: Taking taylor expansion of -1 in re
0.639 * [backup-simplify]: Simplify -1 into -1
0.639 * [taylor]: Taking taylor expansion of im in re
0.639 * [backup-simplify]: Simplify im into im
0.639 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.639 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.639 * [taylor]: Taking taylor expansion of -1 in re
0.639 * [backup-simplify]: Simplify -1 into -1
0.639 * [taylor]: Taking taylor expansion of im in re
0.639 * [backup-simplify]: Simplify im into im
0.639 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.639 * [backup-simplify]: Simplify (* -1 -1) into 1
0.639 * [backup-simplify]: Simplify (+ 1 0) into 1
0.640 * [backup-simplify]: Simplify (sqrt 1) into 1
0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.641 * [backup-simplify]: Simplify (+ 0 0) into 0
0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.642 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.642 * [taylor]: Taking taylor expansion of re in re
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify (/ 1 1) into 1
0.642 * [backup-simplify]: Simplify (+ 1 1) into 2
0.643 * [backup-simplify]: Simplify (sqrt 0) into 0
0.643 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.643 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.643 * [taylor]: Taking taylor expansion of 2.0 in re
0.643 * [backup-simplify]: Simplify 2.0 into 2.0
0.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.644 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.644 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.645 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.645 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.645 * [taylor]: Taking taylor expansion of -1 in re
0.645 * [backup-simplify]: Simplify -1 into -1
0.645 * [taylor]: Taking taylor expansion of re in re
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.645 * [backup-simplify]: Simplify (/ -1 1) into -1
0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.645 * [taylor]: Taking taylor expansion of -1 in re
0.645 * [backup-simplify]: Simplify -1 into -1
0.645 * [taylor]: Taking taylor expansion of re in re
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.645 * [backup-simplify]: Simplify (/ -1 1) into -1
0.645 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.646 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.646 * [taylor]: Taking taylor expansion of -1 in re
0.646 * [backup-simplify]: Simplify -1 into -1
0.646 * [taylor]: Taking taylor expansion of im in re
0.646 * [backup-simplify]: Simplify im into im
0.646 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.646 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.646 * [taylor]: Taking taylor expansion of -1 in re
0.646 * [backup-simplify]: Simplify -1 into -1
0.646 * [taylor]: Taking taylor expansion of im in re
0.646 * [backup-simplify]: Simplify im into im
0.646 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.646 * [backup-simplify]: Simplify (* -1 -1) into 1
0.646 * [backup-simplify]: Simplify (+ 1 0) into 1
0.646 * [backup-simplify]: Simplify (sqrt 1) into 1
0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.648 * [backup-simplify]: Simplify (+ 0 0) into 0
0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.649 * [taylor]: Taking taylor expansion of re in re
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (/ 1 1) into 1
0.649 * [backup-simplify]: Simplify (+ 1 1) into 2
0.650 * [backup-simplify]: Simplify (sqrt 0) into 0
0.651 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.651 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.651 * [taylor]: Taking taylor expansion of 0 in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.652 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.652 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.652 * [taylor]: Taking taylor expansion of +nan.0 in im
0.652 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.652 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.652 * [taylor]: Taking taylor expansion of 2.0 in im
0.652 * [backup-simplify]: Simplify 2.0 into 2.0
0.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.659 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.659 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.659 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.659 * [taylor]: Taking taylor expansion of +nan.0 in im
0.659 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.659 * [taylor]: Taking taylor expansion of 2.0 in im
0.659 * [backup-simplify]: Simplify 2.0 into 2.0
0.660 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.661 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.663 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.664 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.668 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.668 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.672 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.675 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.675 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.675 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.675 * [taylor]: Taking taylor expansion of +nan.0 in im
0.675 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.675 * [taylor]: Taking taylor expansion of 2.0 in im
0.675 * [backup-simplify]: Simplify 2.0 into 2.0
0.676 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.677 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.677 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.677 * [taylor]: Taking taylor expansion of +nan.0 in im
0.677 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.677 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.677 * [taylor]: Taking taylor expansion of 2.0 in im
0.677 * [backup-simplify]: Simplify 2.0 into 2.0
0.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.678 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.678 * [taylor]: Taking taylor expansion of im in im
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [backup-simplify]: Simplify (* 1 1) into 1
0.679 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.682 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.682 * [backup-simplify]: Simplify (- 0) into 0
0.683 * [backup-simplify]: Simplify (+ 0 0) into 0
0.683 * [backup-simplify]: Simplify (- 0) into 0
0.683 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.686 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.687 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.688 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.688 * [backup-simplify]: Simplify (- 0) into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.692 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.692 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.692 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.692 * [backup-simplify]: Simplify (+ 0 0) into 0
0.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.694 * [backup-simplify]: Simplify (+ 0 0) into 0
0.695 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.699 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.699 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.699 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.699 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.699 * [taylor]: Taking taylor expansion of +nan.0 in im
0.699 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.699 * [taylor]: Taking taylor expansion of 2.0 in im
0.699 * [backup-simplify]: Simplify 2.0 into 2.0
0.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.700 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.700 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.700 * [taylor]: Taking taylor expansion of +nan.0 in im
0.700 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.700 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.700 * [taylor]: Taking taylor expansion of 2.0 in im
0.700 * [backup-simplify]: Simplify 2.0 into 2.0
0.701 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.702 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.702 * [taylor]: Taking taylor expansion of im in im
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 1 into 1
0.702 * [backup-simplify]: Simplify (* 1 1) into 1
0.703 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.705 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.706 * [backup-simplify]: Simplify (- 0) into 0
0.706 * [backup-simplify]: Simplify (+ 0 0) into 0
0.707 * [backup-simplify]: Simplify (- 0) into 0
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.709 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.712 * [backup-simplify]: Simplify (- 0) into 0
0.714 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.716 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.717 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.722 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.722 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1)
0.722 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.722 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.722 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.722 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.722 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.722 * [taylor]: Taking taylor expansion of (* re re) in im
0.722 * [taylor]: Taking taylor expansion of re in im
0.722 * [backup-simplify]: Simplify re into re
0.722 * [taylor]: Taking taylor expansion of re in im
0.722 * [backup-simplify]: Simplify re into re
0.722 * [taylor]: Taking taylor expansion of (* im im) in im
0.722 * [taylor]: Taking taylor expansion of im in im
0.723 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify 1 into 1
0.723 * [taylor]: Taking taylor expansion of im in im
0.723 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify 1 into 1
0.723 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.723 * [backup-simplify]: Simplify (* 0 0) into 0
0.723 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.723 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.723 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.724 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.725 * [backup-simplify]: Simplify (+ 0 0) into 0
0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.725 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.725 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.725 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.725 * [taylor]: Taking taylor expansion of (* re re) in re
0.725 * [taylor]: Taking taylor expansion of re in re
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 1 into 1
0.725 * [taylor]: Taking taylor expansion of re in re
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 1 into 1
0.725 * [taylor]: Taking taylor expansion of (* im im) in re
0.725 * [taylor]: Taking taylor expansion of im in re
0.725 * [backup-simplify]: Simplify im into im
0.725 * [taylor]: Taking taylor expansion of im in re
0.725 * [backup-simplify]: Simplify im into im
0.726 * [backup-simplify]: Simplify (* 0 0) into 0
0.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.726 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.727 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.727 * [backup-simplify]: Simplify (+ 0 0) into 0
0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.727 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.728 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.728 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.728 * [taylor]: Taking taylor expansion of (* re re) in re
0.728 * [taylor]: Taking taylor expansion of re in re
0.728 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify 1 into 1
0.728 * [taylor]: Taking taylor expansion of re in re
0.728 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify 1 into 1
0.728 * [taylor]: Taking taylor expansion of (* im im) in re
0.728 * [taylor]: Taking taylor expansion of im in re
0.728 * [backup-simplify]: Simplify im into im
0.728 * [taylor]: Taking taylor expansion of im in re
0.728 * [backup-simplify]: Simplify im into im
0.729 * [backup-simplify]: Simplify (* 0 0) into 0
0.729 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.729 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.729 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.730 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.730 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.730 * [backup-simplify]: Simplify (+ 0 0) into 0
0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.730 * [taylor]: Taking taylor expansion of im in im
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 1 into 1
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [taylor]: Taking taylor expansion of 0 in im
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 1 into 1
0.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.732 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.733 * [backup-simplify]: Simplify (+ 1 0) into 1
0.734 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.734 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.734 * [taylor]: Taking taylor expansion of 1/2 in im
0.734 * [backup-simplify]: Simplify 1/2 into 1/2
0.734 * [taylor]: Taking taylor expansion of im in im
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.735 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.737 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.738 * [backup-simplify]: Simplify (+ 0 0) into 0
0.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.738 * [taylor]: Taking taylor expansion of 0 in im
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.741 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.741 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.741 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.741 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.742 * [taylor]: Taking taylor expansion of re in im
0.742 * [backup-simplify]: Simplify re into re
0.742 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.742 * [taylor]: Taking taylor expansion of re in im
0.742 * [backup-simplify]: Simplify re into re
0.742 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.742 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.742 * [taylor]: Taking taylor expansion of im in im
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (/ 1 1) into 1
0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.743 * [taylor]: Taking taylor expansion of im in im
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (/ 1 1) into 1
0.743 * [backup-simplify]: Simplify (* 1 1) into 1
0.744 * [backup-simplify]: Simplify (+ 0 1) into 1
0.744 * [backup-simplify]: Simplify (sqrt 1) into 1
0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.747 * [backup-simplify]: Simplify (+ 0 0) into 0
0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.747 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.747 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.747 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.748 * [taylor]: Taking taylor expansion of re in re
0.748 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify 1 into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.748 * [taylor]: Taking taylor expansion of re in re
0.748 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify 1 into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.748 * [taylor]: Taking taylor expansion of im in re
0.748 * [backup-simplify]: Simplify im into im
0.748 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.748 * [taylor]: Taking taylor expansion of im in re
0.748 * [backup-simplify]: Simplify im into im
0.748 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.749 * [backup-simplify]: Simplify (* 1 1) into 1
0.749 * [backup-simplify]: Simplify (+ 1 0) into 1
0.749 * [backup-simplify]: Simplify (sqrt 1) into 1
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.751 * [backup-simplify]: Simplify (+ 0 0) into 0
0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.751 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.751 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.751 * [taylor]: Taking taylor expansion of re in re
0.751 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify 1 into 1
0.751 * [backup-simplify]: Simplify (/ 1 1) into 1
0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.751 * [taylor]: Taking taylor expansion of re in re
0.751 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify 1 into 1
0.752 * [backup-simplify]: Simplify (/ 1 1) into 1
0.752 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.752 * [taylor]: Taking taylor expansion of im in re
0.752 * [backup-simplify]: Simplify im into im
0.752 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.752 * [taylor]: Taking taylor expansion of im in re
0.752 * [backup-simplify]: Simplify im into im
0.752 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.752 * [backup-simplify]: Simplify (* 1 1) into 1
0.752 * [backup-simplify]: Simplify (+ 1 0) into 1
0.753 * [backup-simplify]: Simplify (sqrt 1) into 1
0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.755 * [backup-simplify]: Simplify (+ 0 0) into 0
0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.755 * [taylor]: Taking taylor expansion of 1 in im
0.755 * [backup-simplify]: Simplify 1 into 1
0.755 * [taylor]: Taking taylor expansion of 0 in im
0.755 * [backup-simplify]: Simplify 0 into 0
0.755 * [backup-simplify]: Simplify 1 into 1
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.757 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.757 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.758 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.758 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.758 * [taylor]: Taking taylor expansion of 1/2 in im
0.758 * [backup-simplify]: Simplify 1/2 into 1/2
0.758 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.758 * [taylor]: Taking taylor expansion of im in im
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (* 1 1) into 1
0.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.761 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.762 * [backup-simplify]: Simplify (+ 0 0) into 0
0.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.762 * [taylor]: Taking taylor expansion of 0 in im
0.762 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.763 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.764 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.764 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.764 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.764 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.764 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.764 * [taylor]: Taking taylor expansion of -1 in im
0.764 * [backup-simplify]: Simplify -1 into -1
0.764 * [taylor]: Taking taylor expansion of re in im
0.764 * [backup-simplify]: Simplify re into re
0.764 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.764 * [taylor]: Taking taylor expansion of -1 in im
0.764 * [backup-simplify]: Simplify -1 into -1
0.764 * [taylor]: Taking taylor expansion of re in im
0.764 * [backup-simplify]: Simplify re into re
0.764 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.764 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.764 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.764 * [taylor]: Taking taylor expansion of -1 in im
0.764 * [backup-simplify]: Simplify -1 into -1
0.764 * [taylor]: Taking taylor expansion of im in im
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 1 into 1
0.764 * [backup-simplify]: Simplify (/ -1 1) into -1
0.765 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.765 * [taylor]: Taking taylor expansion of -1 in im
0.765 * [backup-simplify]: Simplify -1 into -1
0.765 * [taylor]: Taking taylor expansion of im in im
0.765 * [backup-simplify]: Simplify 0 into 0
0.765 * [backup-simplify]: Simplify 1 into 1
0.765 * [backup-simplify]: Simplify (/ -1 1) into -1
0.765 * [backup-simplify]: Simplify (* -1 -1) into 1
0.765 * [backup-simplify]: Simplify (+ 0 1) into 1
0.766 * [backup-simplify]: Simplify (sqrt 1) into 1
0.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.767 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.767 * [backup-simplify]: Simplify (+ 0 0) into 0
0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.768 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.768 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.768 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.768 * [taylor]: Taking taylor expansion of -1 in re
0.768 * [backup-simplify]: Simplify -1 into -1
0.768 * [taylor]: Taking taylor expansion of re in re
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify 1 into 1
0.768 * [backup-simplify]: Simplify (/ -1 1) into -1
0.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.768 * [taylor]: Taking taylor expansion of -1 in re
0.768 * [backup-simplify]: Simplify -1 into -1
0.768 * [taylor]: Taking taylor expansion of re in re
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify 1 into 1
0.769 * [backup-simplify]: Simplify (/ -1 1) into -1
0.769 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.769 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.769 * [taylor]: Taking taylor expansion of -1 in re
0.769 * [backup-simplify]: Simplify -1 into -1
0.769 * [taylor]: Taking taylor expansion of im in re
0.769 * [backup-simplify]: Simplify im into im
0.769 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.769 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.769 * [taylor]: Taking taylor expansion of -1 in re
0.769 * [backup-simplify]: Simplify -1 into -1
0.769 * [taylor]: Taking taylor expansion of im in re
0.769 * [backup-simplify]: Simplify im into im
0.769 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.769 * [backup-simplify]: Simplify (* -1 -1) into 1
0.769 * [backup-simplify]: Simplify (+ 1 0) into 1
0.770 * [backup-simplify]: Simplify (sqrt 1) into 1
0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.771 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.771 * [backup-simplify]: Simplify (+ 0 0) into 0
0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.772 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.772 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.772 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.772 * [taylor]: Taking taylor expansion of -1 in re
0.772 * [backup-simplify]: Simplify -1 into -1
0.772 * [taylor]: Taking taylor expansion of re in re
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (/ -1 1) into -1
0.773 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.773 * [taylor]: Taking taylor expansion of -1 in re
0.773 * [backup-simplify]: Simplify -1 into -1
0.773 * [taylor]: Taking taylor expansion of re in re
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (/ -1 1) into -1
0.773 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.773 * [taylor]: Taking taylor expansion of -1 in re
0.774 * [backup-simplify]: Simplify -1 into -1
0.774 * [taylor]: Taking taylor expansion of im in re
0.774 * [backup-simplify]: Simplify im into im
0.774 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.774 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.774 * [taylor]: Taking taylor expansion of -1 in re
0.774 * [backup-simplify]: Simplify -1 into -1
0.774 * [taylor]: Taking taylor expansion of im in re
0.774 * [backup-simplify]: Simplify im into im
0.774 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.774 * [backup-simplify]: Simplify (* -1 -1) into 1
0.775 * [backup-simplify]: Simplify (+ 1 0) into 1
0.775 * [backup-simplify]: Simplify (sqrt 1) into 1
0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.777 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.778 * [backup-simplify]: Simplify (+ 0 0) into 0
0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.779 * [taylor]: Taking taylor expansion of 1 in im
0.779 * [backup-simplify]: Simplify 1 into 1
0.779 * [taylor]: Taking taylor expansion of 0 in im
0.779 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify 1 into 1
0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.782 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.784 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.784 * [taylor]: Taking taylor expansion of 1/2 in im
0.784 * [backup-simplify]: Simplify 1/2 into 1/2
0.784 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.784 * [taylor]: Taking taylor expansion of im in im
0.784 * [backup-simplify]: Simplify 0 into 0
0.784 * [backup-simplify]: Simplify 1 into 1
0.784 * [backup-simplify]: Simplify (* 1 1) into 1
0.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.790 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.790 * [backup-simplify]: Simplify (+ 0 0) into 0
0.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.791 * [taylor]: Taking taylor expansion of 0 in im
0.791 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.794 * * * [progress]: simplifying candidates
0.796 * [simplify]: Simplifying:
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma 1 (hypot re im) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (/ (exp (hypot re im)) (exp re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))
  (- re)
  (- (* (hypot re im) (hypot re im)) (* re re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (expm1 (sqrt (* (- (hypot re im) re) 2.0)))
  (log1p (sqrt (* (- (hypot re im) re) 2.0)))
  (log (sqrt (* (- (hypot re im) re) 2.0)))
  (exp (sqrt (* (- (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (- (hypot re im) re) 2.0)))
  (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0)))
  (sqrt (- (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))
  (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0))
  (sqrt (+ (hypot re im) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  im
  re
  (* -1 re)
0.798 * * [simplify]: iteration 0: 115 enodes
0.840 * * [simplify]: iteration 1: 245 enodes
0.931 * * [simplify]: iteration 2: 770 enodes
1.634 * * [simplify]: iteration 3: 4021 enodes
2.584 * * [simplify]: iteration complete: 5000 enodes
2.584 * * [simplify]: Extracting #0: cost 48 inf + 0
2.586 * * [simplify]: Extracting #1: cost 519 inf + 10
2.590 * * [simplify]: Extracting #2: cost 977 inf + 1142
2.598 * * [simplify]: Extracting #3: cost 279 inf + 5702
2.608 * * [simplify]: Extracting #4: cost 31 inf + 7736
2.618 * * [simplify]: Extracting #5: cost 0 inf + 8008
2.628 * * [simplify]: Extracting #6: cost 0 inf + 8004
2.644 * [simplify]: Simplified to:
  (- (pow (cbrt (hypot re im)) 3) re)
  (- re re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (- re re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (- (hypot re im) re)
  (- re re)
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (- re)
  (- re)
  (exp (- (hypot re im) re))
  (log (- (hypot re im) re))
  (exp (- (hypot re im) re))
  (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))
  (cbrt (- (hypot re im) re))
  (pow (- (hypot re im) re) 3)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (+ (hypot re im) re)))
  (- re)
  (* (+ re (hypot re im)) (- (hypot re im) re))
  (+ (hypot re im) re)
  (+ (sqrt re) (sqrt (hypot re im)))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (expm1 (sqrt (* (- (hypot re im) re) 2.0)))
  (log1p (sqrt (* (- (hypot re im) re) 2.0)))
  (log (sqrt (* (- (hypot re im) re) 2.0)))
  (exp (sqrt (* (- (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (- (hypot re im) re) 2.0)))
  (pow (sqrt (* (- (hypot re im) re) 2.0)) 3)
  (sqrt (- (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (+ (hypot re im) re))))
  (sqrt (* (+ re (hypot re im)) (* (- (hypot re im) re) 2.0)))
  (sqrt (+ (hypot re im) re))
  1/2
  1/2
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (- (hypot re im) re) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- im re)
  0
  (* re -2)
  (* (* (sqrt 2.0) +nan.0) (fma re (- im) (- (* im im) im)))
  0
  (- (* +nan.0 (- (sqrt 2.0) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))))
  im
  re
  (- re)
2.645 * * * [progress]: adding candidates to table
2.954 * * [progress]: iteration 2 / 4
2.954 * * * [progress]: picking best candidate
3.003 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))))>
3.003 * * * [progress]: localizing error
3.024 * * * [progress]: generating rewritten candidates
3.024 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1)
3.036 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1)
3.058 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
3.076 * * * [progress]: generating series expansions
3.076 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1)
3.076 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
3.076 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.076 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.076 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.076 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.076 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.076 * [taylor]: Taking taylor expansion of (* re re) in im
3.076 * [taylor]: Taking taylor expansion of re in im
3.076 * [backup-simplify]: Simplify re into re
3.076 * [taylor]: Taking taylor expansion of re in im
3.076 * [backup-simplify]: Simplify re into re
3.076 * [taylor]: Taking taylor expansion of (* im im) in im
3.076 * [taylor]: Taking taylor expansion of im in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [taylor]: Taking taylor expansion of im in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.077 * [backup-simplify]: Simplify (* 0 0) into 0
3.077 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.077 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.077 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.078 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.078 * [backup-simplify]: Simplify (+ 0 0) into 0
3.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.078 * [taylor]: Taking taylor expansion of re in im
3.078 * [backup-simplify]: Simplify re into re
3.078 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.078 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.078 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.078 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.078 * [taylor]: Taking taylor expansion of (* re re) in re
3.078 * [taylor]: Taking taylor expansion of re in re
3.078 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [taylor]: Taking taylor expansion of re in re
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [taylor]: Taking taylor expansion of (* im im) in re
3.079 * [taylor]: Taking taylor expansion of im in re
3.079 * [backup-simplify]: Simplify im into im
3.079 * [taylor]: Taking taylor expansion of im in re
3.079 * [backup-simplify]: Simplify im into im
3.079 * [backup-simplify]: Simplify (* 0 0) into 0
3.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.079 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.079 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.080 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.080 * [taylor]: Taking taylor expansion of re in re
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.080 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.080 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.080 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.080 * [taylor]: Taking taylor expansion of (* re re) in re
3.080 * [taylor]: Taking taylor expansion of re in re
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [taylor]: Taking taylor expansion of re in re
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [taylor]: Taking taylor expansion of (* im im) in re
3.080 * [taylor]: Taking taylor expansion of im in re
3.080 * [backup-simplify]: Simplify im into im
3.080 * [taylor]: Taking taylor expansion of im in re
3.080 * [backup-simplify]: Simplify im into im
3.081 * [backup-simplify]: Simplify (* 0 0) into 0
3.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.081 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.081 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.081 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.082 * [backup-simplify]: Simplify (+ 0 0) into 0
3.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.082 * [taylor]: Taking taylor expansion of re in re
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (- 0) into 0
3.082 * [backup-simplify]: Simplify (+ im 0) into im
3.082 * [taylor]: Taking taylor expansion of im in im
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify (- 1) into -1
3.083 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.083 * [taylor]: Taking taylor expansion of -1 in im
3.083 * [backup-simplify]: Simplify -1 into -1
3.083 * [backup-simplify]: Simplify -1 into -1
3.083 * [backup-simplify]: Simplify 1 into 1
3.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.084 * [backup-simplify]: Simplify (+ 1 0) into 1
3.084 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.085 * [backup-simplify]: Simplify (- 0) into 0
3.085 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.085 * [taylor]: Taking taylor expansion of 1/2 in im
3.085 * [backup-simplify]: Simplify 1/2 into 1/2
3.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.085 * [taylor]: Taking taylor expansion of im in im
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.085 * [backup-simplify]: Simplify (/ 1 1) into 1
3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.087 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.087 * [backup-simplify]: Simplify (+ 0 0) into 0
3.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.088 * [backup-simplify]: Simplify (- 0) into 0
3.088 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [taylor]: Taking taylor expansion of 0 in im
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.089 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.089 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.089 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.090 * [taylor]: Taking taylor expansion of re in im
3.090 * [backup-simplify]: Simplify re into re
3.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.090 * [taylor]: Taking taylor expansion of re in im
3.090 * [backup-simplify]: Simplify re into re
3.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.090 * [taylor]: Taking taylor expansion of im in im
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (/ 1 1) into 1
3.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.090 * [taylor]: Taking taylor expansion of im in im
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [backup-simplify]: Simplify (* 1 1) into 1
3.091 * [backup-simplify]: Simplify (+ 0 1) into 1
3.091 * [backup-simplify]: Simplify (sqrt 1) into 1
3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.093 * [backup-simplify]: Simplify (+ 0 0) into 0
3.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.093 * [taylor]: Taking taylor expansion of re in im
3.093 * [backup-simplify]: Simplify re into re
3.093 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.093 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.093 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.094 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.094 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.094 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.094 * [taylor]: Taking taylor expansion of re in re
3.094 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.094 * [taylor]: Taking taylor expansion of re in re
3.094 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.094 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.094 * [taylor]: Taking taylor expansion of im in re
3.094 * [backup-simplify]: Simplify im into im
3.094 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.094 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.094 * [taylor]: Taking taylor expansion of im in re
3.094 * [backup-simplify]: Simplify im into im
3.095 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.095 * [backup-simplify]: Simplify (* 1 1) into 1
3.095 * [backup-simplify]: Simplify (+ 1 0) into 1
3.096 * [backup-simplify]: Simplify (sqrt 1) into 1
3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.097 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.098 * [taylor]: Taking taylor expansion of re in re
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 1 into 1
3.098 * [backup-simplify]: Simplify (/ 1 1) into 1
3.098 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.098 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.098 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.098 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.098 * [taylor]: Taking taylor expansion of re in re
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 1 into 1
3.099 * [backup-simplify]: Simplify (/ 1 1) into 1
3.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.099 * [taylor]: Taking taylor expansion of re in re
3.099 * [backup-simplify]: Simplify 0 into 0
3.099 * [backup-simplify]: Simplify 1 into 1
3.099 * [backup-simplify]: Simplify (/ 1 1) into 1
3.099 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.099 * [taylor]: Taking taylor expansion of im in re
3.099 * [backup-simplify]: Simplify im into im
3.099 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.099 * [taylor]: Taking taylor expansion of im in re
3.099 * [backup-simplify]: Simplify im into im
3.099 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.099 * [backup-simplify]: Simplify (* 1 1) into 1
3.100 * [backup-simplify]: Simplify (+ 1 0) into 1
3.100 * [backup-simplify]: Simplify (sqrt 1) into 1
3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.102 * [backup-simplify]: Simplify (+ 0 0) into 0
3.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.102 * [taylor]: Taking taylor expansion of re in re
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (/ 1 1) into 1
3.103 * [backup-simplify]: Simplify (- 1) into -1
3.103 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.103 * [taylor]: Taking taylor expansion of 0 in im
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.104 * [backup-simplify]: Simplify (- 0) into 0
3.104 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [taylor]: Taking taylor expansion of 0 in im
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.106 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.107 * [backup-simplify]: Simplify (- 0) into 0
3.108 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.108 * [taylor]: Taking taylor expansion of 1/2 in im
3.108 * [backup-simplify]: Simplify 1/2 into 1/2
3.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.108 * [taylor]: Taking taylor expansion of im in im
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (* 1 1) into 1
3.109 * [backup-simplify]: Simplify (/ 1 1) into 1
3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.114 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.117 * [backup-simplify]: Simplify (- 0) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [taylor]: Taking taylor expansion of 0 in im
3.117 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.121 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.121 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.121 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.121 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.121 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.121 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.121 * [taylor]: Taking taylor expansion of -1 in im
3.121 * [backup-simplify]: Simplify -1 into -1
3.121 * [taylor]: Taking taylor expansion of re in im
3.121 * [backup-simplify]: Simplify re into re
3.121 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.121 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.121 * [taylor]: Taking taylor expansion of -1 in im
3.121 * [backup-simplify]: Simplify -1 into -1
3.121 * [taylor]: Taking taylor expansion of re in im
3.121 * [backup-simplify]: Simplify re into re
3.121 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.121 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.121 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.121 * [taylor]: Taking taylor expansion of -1 in im
3.121 * [backup-simplify]: Simplify -1 into -1
3.121 * [taylor]: Taking taylor expansion of im in im
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 1 into 1
3.122 * [backup-simplify]: Simplify (/ -1 1) into -1
3.122 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.122 * [taylor]: Taking taylor expansion of -1 in im
3.122 * [backup-simplify]: Simplify -1 into -1
3.122 * [taylor]: Taking taylor expansion of im in im
3.122 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.123 * [backup-simplify]: Simplify (/ -1 1) into -1
3.123 * [backup-simplify]: Simplify (* -1 -1) into 1
3.123 * [backup-simplify]: Simplify (+ 0 1) into 1
3.124 * [backup-simplify]: Simplify (sqrt 1) into 1
3.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.126 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.127 * [taylor]: Taking taylor expansion of re in im
3.127 * [backup-simplify]: Simplify re into re
3.128 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.128 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.128 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.128 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.128 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.128 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.128 * [taylor]: Taking taylor expansion of -1 in re
3.128 * [backup-simplify]: Simplify -1 into -1
3.128 * [taylor]: Taking taylor expansion of re in re
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (/ -1 1) into -1
3.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.129 * [taylor]: Taking taylor expansion of -1 in re
3.129 * [backup-simplify]: Simplify -1 into -1
3.129 * [taylor]: Taking taylor expansion of re in re
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.129 * [backup-simplify]: Simplify (/ -1 1) into -1
3.129 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.129 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.129 * [taylor]: Taking taylor expansion of -1 in re
3.129 * [backup-simplify]: Simplify -1 into -1
3.129 * [taylor]: Taking taylor expansion of im in re
3.129 * [backup-simplify]: Simplify im into im
3.129 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.129 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.129 * [taylor]: Taking taylor expansion of -1 in re
3.129 * [backup-simplify]: Simplify -1 into -1
3.129 * [taylor]: Taking taylor expansion of im in re
3.129 * [backup-simplify]: Simplify im into im
3.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.130 * [backup-simplify]: Simplify (* -1 -1) into 1
3.130 * [backup-simplify]: Simplify (+ 1 0) into 1
3.131 * [backup-simplify]: Simplify (sqrt 1) into 1
3.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.134 * [taylor]: Taking taylor expansion of re in re
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.135 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.135 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.135 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.135 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.135 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.135 * [taylor]: Taking taylor expansion of -1 in re
3.135 * [backup-simplify]: Simplify -1 into -1
3.135 * [taylor]: Taking taylor expansion of re in re
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.136 * [backup-simplify]: Simplify (/ -1 1) into -1
3.136 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.136 * [taylor]: Taking taylor expansion of -1 in re
3.136 * [backup-simplify]: Simplify -1 into -1
3.136 * [taylor]: Taking taylor expansion of re in re
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.136 * [backup-simplify]: Simplify (/ -1 1) into -1
3.136 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.136 * [taylor]: Taking taylor expansion of -1 in re
3.136 * [backup-simplify]: Simplify -1 into -1
3.136 * [taylor]: Taking taylor expansion of im in re
3.136 * [backup-simplify]: Simplify im into im
3.136 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.137 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.137 * [taylor]: Taking taylor expansion of -1 in re
3.137 * [backup-simplify]: Simplify -1 into -1
3.137 * [taylor]: Taking taylor expansion of im in re
3.137 * [backup-simplify]: Simplify im into im
3.137 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.137 * [backup-simplify]: Simplify (* -1 -1) into 1
3.137 * [backup-simplify]: Simplify (+ 1 0) into 1
3.138 * [backup-simplify]: Simplify (sqrt 1) into 1
3.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.142 * [taylor]: Taking taylor expansion of re in re
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.143 * [backup-simplify]: Simplify (/ 1 1) into 1
3.143 * [backup-simplify]: Simplify (+ 1 1) into 2
3.143 * [taylor]: Taking taylor expansion of 2 in im
3.143 * [backup-simplify]: Simplify 2 into 2
3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.144 * [backup-simplify]: Simplify (+ 0 0) into 0
3.144 * [taylor]: Taking taylor expansion of 0 in im
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 2 into 2
3.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.147 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.148 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.151 * [taylor]: Taking taylor expansion of 1/2 in im
3.151 * [backup-simplify]: Simplify 1/2 into 1/2
3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.151 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.151 * [taylor]: Taking taylor expansion of im in im
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.151 * [backup-simplify]: Simplify (* 1 1) into 1
3.152 * [backup-simplify]: Simplify (/ 1 1) into 1
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.157 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.158 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.158 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.158 * [backup-simplify]: Simplify (+ 0 0) into 0
3.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [taylor]: Taking taylor expansion of 0 in im
3.164 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.167 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.167 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
3.167 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.167 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.167 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.167 * [taylor]: Taking taylor expansion of (* re re) in im
3.167 * [taylor]: Taking taylor expansion of re in im
3.167 * [backup-simplify]: Simplify re into re
3.167 * [taylor]: Taking taylor expansion of re in im
3.167 * [backup-simplify]: Simplify re into re
3.168 * [taylor]: Taking taylor expansion of (* im im) in im
3.168 * [taylor]: Taking taylor expansion of im in im
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [taylor]: Taking taylor expansion of im in im
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.168 * [backup-simplify]: Simplify (* 0 0) into 0
3.168 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.168 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.169 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.169 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.170 * [taylor]: Taking taylor expansion of re in im
3.170 * [backup-simplify]: Simplify re into re
3.170 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.170 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.170 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.170 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.170 * [taylor]: Taking taylor expansion of (* re re) in re
3.170 * [taylor]: Taking taylor expansion of re in re
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [taylor]: Taking taylor expansion of re in re
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [taylor]: Taking taylor expansion of (* im im) in re
3.170 * [taylor]: Taking taylor expansion of im in re
3.170 * [backup-simplify]: Simplify im into im
3.170 * [taylor]: Taking taylor expansion of im in re
3.170 * [backup-simplify]: Simplify im into im
3.171 * [backup-simplify]: Simplify (* 0 0) into 0
3.171 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.171 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.172 * [backup-simplify]: Simplify (+ 0 0) into 0
3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.172 * [taylor]: Taking taylor expansion of re in re
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.172 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.173 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.173 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.173 * [taylor]: Taking taylor expansion of (* re re) in re
3.173 * [taylor]: Taking taylor expansion of re in re
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 1 into 1
3.173 * [taylor]: Taking taylor expansion of re in re
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 1 into 1
3.173 * [taylor]: Taking taylor expansion of (* im im) in re
3.173 * [taylor]: Taking taylor expansion of im in re
3.173 * [backup-simplify]: Simplify im into im
3.173 * [taylor]: Taking taylor expansion of im in re
3.173 * [backup-simplify]: Simplify im into im
3.173 * [backup-simplify]: Simplify (* 0 0) into 0
3.173 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.174 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.174 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.174 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.175 * [taylor]: Taking taylor expansion of re in re
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 1 into 1
3.176 * [backup-simplify]: Simplify (- 0) into 0
3.176 * [backup-simplify]: Simplify (+ im 0) into im
3.176 * [taylor]: Taking taylor expansion of im in im
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 1 into 1
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (- 1) into -1
3.177 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.177 * [taylor]: Taking taylor expansion of -1 in im
3.177 * [backup-simplify]: Simplify -1 into -1
3.177 * [backup-simplify]: Simplify -1 into -1
3.177 * [backup-simplify]: Simplify 1 into 1
3.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.178 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.179 * [backup-simplify]: Simplify (+ 1 0) into 1
3.179 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.180 * [backup-simplify]: Simplify (- 0) into 0
3.180 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.180 * [taylor]: Taking taylor expansion of 1/2 in im
3.180 * [backup-simplify]: Simplify 1/2 into 1/2
3.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.180 * [taylor]: Taking taylor expansion of im in im
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 1 into 1
3.180 * [backup-simplify]: Simplify (/ 1 1) into 1
3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.184 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.184 * [backup-simplify]: Simplify (+ 0 0) into 0
3.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.185 * [backup-simplify]: Simplify (- 0) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [taylor]: Taking taylor expansion of 0 in im
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.188 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.188 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.188 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.188 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.188 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.188 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.188 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.188 * [taylor]: Taking taylor expansion of re in im
3.188 * [backup-simplify]: Simplify re into re
3.188 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.189 * [taylor]: Taking taylor expansion of re in im
3.189 * [backup-simplify]: Simplify re into re
3.189 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.189 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.189 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.189 * [taylor]: Taking taylor expansion of im in im
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (/ 1 1) into 1
3.189 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.189 * [taylor]: Taking taylor expansion of im in im
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [backup-simplify]: Simplify (* 1 1) into 1
3.191 * [backup-simplify]: Simplify (+ 0 1) into 1
3.191 * [backup-simplify]: Simplify (sqrt 1) into 1
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.194 * [taylor]: Taking taylor expansion of re in im
3.194 * [backup-simplify]: Simplify re into re
3.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.195 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.195 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.195 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.195 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.195 * [taylor]: Taking taylor expansion of re in re
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (/ 1 1) into 1
3.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.195 * [taylor]: Taking taylor expansion of re in re
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.196 * [backup-simplify]: Simplify (/ 1 1) into 1
3.196 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.196 * [taylor]: Taking taylor expansion of im in re
3.196 * [backup-simplify]: Simplify im into im
3.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.196 * [taylor]: Taking taylor expansion of im in re
3.196 * [backup-simplify]: Simplify im into im
3.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.197 * [backup-simplify]: Simplify (* 1 1) into 1
3.197 * [backup-simplify]: Simplify (+ 1 0) into 1
3.197 * [backup-simplify]: Simplify (sqrt 1) into 1
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.200 * [backup-simplify]: Simplify (+ 0 0) into 0
3.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.201 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.201 * [taylor]: Taking taylor expansion of re in re
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.201 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.202 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.202 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.202 * [taylor]: Taking taylor expansion of re in re
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.202 * [taylor]: Taking taylor expansion of re in re
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.203 * [taylor]: Taking taylor expansion of im in re
3.203 * [backup-simplify]: Simplify im into im
3.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.203 * [taylor]: Taking taylor expansion of im in re
3.203 * [backup-simplify]: Simplify im into im
3.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.204 * [backup-simplify]: Simplify (+ 1 0) into 1
3.204 * [backup-simplify]: Simplify (sqrt 1) into 1
3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.208 * [taylor]: Taking taylor expansion of re in re
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.209 * [backup-simplify]: Simplify (- 1) into -1
3.209 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.209 * [taylor]: Taking taylor expansion of 0 in im
3.209 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.210 * [backup-simplify]: Simplify (- 0) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [taylor]: Taking taylor expansion of 0 in im
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.214 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.215 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.216 * [backup-simplify]: Simplify (- 0) into 0
3.217 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.217 * [taylor]: Taking taylor expansion of 1/2 in im
3.217 * [backup-simplify]: Simplify 1/2 into 1/2
3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.217 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.217 * [taylor]: Taking taylor expansion of im in im
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [backup-simplify]: Simplify (* 1 1) into 1
3.218 * [backup-simplify]: Simplify (/ 1 1) into 1
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.222 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.222 * [backup-simplify]: Simplify (+ 0 0) into 0
3.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.223 * [backup-simplify]: Simplify (- 0) into 0
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.223 * [taylor]: Taking taylor expansion of 0 in im
3.223 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.225 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.225 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.225 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.226 * [taylor]: Taking taylor expansion of -1 in im
3.226 * [backup-simplify]: Simplify -1 into -1
3.226 * [taylor]: Taking taylor expansion of re in im
3.226 * [backup-simplify]: Simplify re into re
3.226 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.226 * [taylor]: Taking taylor expansion of -1 in im
3.226 * [backup-simplify]: Simplify -1 into -1
3.226 * [taylor]: Taking taylor expansion of re in im
3.226 * [backup-simplify]: Simplify re into re
3.226 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.226 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.226 * [taylor]: Taking taylor expansion of -1 in im
3.226 * [backup-simplify]: Simplify -1 into -1
3.226 * [taylor]: Taking taylor expansion of im in im
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.226 * [backup-simplify]: Simplify (/ -1 1) into -1
3.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.226 * [taylor]: Taking taylor expansion of -1 in im
3.226 * [backup-simplify]: Simplify -1 into -1
3.226 * [taylor]: Taking taylor expansion of im in im
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.227 * [backup-simplify]: Simplify (/ -1 1) into -1
3.227 * [backup-simplify]: Simplify (* -1 -1) into 1
3.227 * [backup-simplify]: Simplify (+ 0 1) into 1
3.227 * [backup-simplify]: Simplify (sqrt 1) into 1
3.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.229 * [backup-simplify]: Simplify (+ 0 0) into 0
3.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.229 * [taylor]: Taking taylor expansion of re in im
3.230 * [backup-simplify]: Simplify re into re
3.230 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.230 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.230 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.230 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.230 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.230 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.230 * [taylor]: Taking taylor expansion of -1 in re
3.230 * [backup-simplify]: Simplify -1 into -1
3.230 * [taylor]: Taking taylor expansion of re in re
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 1 into 1
3.230 * [backup-simplify]: Simplify (/ -1 1) into -1
3.230 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.230 * [taylor]: Taking taylor expansion of -1 in re
3.230 * [backup-simplify]: Simplify -1 into -1
3.230 * [taylor]: Taking taylor expansion of re in re
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify 1 into 1
3.230 * [backup-simplify]: Simplify (/ -1 1) into -1
3.231 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.231 * [taylor]: Taking taylor expansion of -1 in re
3.231 * [backup-simplify]: Simplify -1 into -1
3.231 * [taylor]: Taking taylor expansion of im in re
3.231 * [backup-simplify]: Simplify im into im
3.231 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.231 * [taylor]: Taking taylor expansion of -1 in re
3.231 * [backup-simplify]: Simplify -1 into -1
3.231 * [taylor]: Taking taylor expansion of im in re
3.231 * [backup-simplify]: Simplify im into im
3.231 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.231 * [backup-simplify]: Simplify (* -1 -1) into 1
3.231 * [backup-simplify]: Simplify (+ 1 0) into 1
3.232 * [backup-simplify]: Simplify (sqrt 1) into 1
3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.233 * [backup-simplify]: Simplify (+ 0 0) into 0
3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.234 * [taylor]: Taking taylor expansion of re in re
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (/ 1 1) into 1
3.234 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.234 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.234 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.234 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.234 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.234 * [taylor]: Taking taylor expansion of -1 in re
3.234 * [backup-simplify]: Simplify -1 into -1
3.234 * [taylor]: Taking taylor expansion of re in re
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (/ -1 1) into -1
3.234 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.234 * [taylor]: Taking taylor expansion of -1 in re
3.235 * [backup-simplify]: Simplify -1 into -1
3.235 * [taylor]: Taking taylor expansion of re in re
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [backup-simplify]: Simplify (/ -1 1) into -1
3.235 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.235 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.235 * [taylor]: Taking taylor expansion of -1 in re
3.235 * [backup-simplify]: Simplify -1 into -1
3.235 * [taylor]: Taking taylor expansion of im in re
3.235 * [backup-simplify]: Simplify im into im
3.235 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.235 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.235 * [taylor]: Taking taylor expansion of -1 in re
3.235 * [backup-simplify]: Simplify -1 into -1
3.235 * [taylor]: Taking taylor expansion of im in re
3.235 * [backup-simplify]: Simplify im into im
3.235 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.235 * [backup-simplify]: Simplify (* -1 -1) into 1
3.236 * [backup-simplify]: Simplify (+ 1 0) into 1
3.236 * [backup-simplify]: Simplify (sqrt 1) into 1
3.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.237 * [backup-simplify]: Simplify (+ 0 0) into 0
3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.238 * [taylor]: Taking taylor expansion of re in re
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (/ 1 1) into 1
3.239 * [backup-simplify]: Simplify (+ 1 1) into 2
3.239 * [taylor]: Taking taylor expansion of 2 in im
3.239 * [backup-simplify]: Simplify 2 into 2
3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ 0 0) into 0
3.239 * [taylor]: Taking taylor expansion of 0 in im
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 2 into 2
3.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.241 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.241 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.243 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.243 * [taylor]: Taking taylor expansion of 1/2 in im
3.243 * [backup-simplify]: Simplify 1/2 into 1/2
3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.243 * [taylor]: Taking taylor expansion of im in im
3.243 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (* 1 1) into 1
3.244 * [backup-simplify]: Simplify (/ 1 1) into 1
3.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.245 * [backup-simplify]: Simplify 0 into 0
3.245 * [backup-simplify]: Simplify 0 into 0
3.245 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.247 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.247 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.248 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [taylor]: Taking taylor expansion of 0 in im
3.250 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.253 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1)
3.253 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re)
3.254 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
3.254 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.254 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.254 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.254 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.254 * [taylor]: Taking taylor expansion of (* re re) in im
3.254 * [taylor]: Taking taylor expansion of re in im
3.254 * [backup-simplify]: Simplify re into re
3.254 * [taylor]: Taking taylor expansion of re in im
3.254 * [backup-simplify]: Simplify re into re
3.254 * [taylor]: Taking taylor expansion of (* im im) in im
3.254 * [taylor]: Taking taylor expansion of im in im
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [taylor]: Taking taylor expansion of im in im
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.255 * [backup-simplify]: Simplify (* 0 0) into 0
3.255 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.255 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.255 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.256 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.256 * [backup-simplify]: Simplify (+ 0 0) into 0
3.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.256 * [taylor]: Taking taylor expansion of re in im
3.256 * [backup-simplify]: Simplify re into re
3.256 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.256 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.256 * [taylor]: Taking taylor expansion of (* re re) in re
3.257 * [taylor]: Taking taylor expansion of re in re
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 1 into 1
3.257 * [taylor]: Taking taylor expansion of re in re
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 1 into 1
3.257 * [taylor]: Taking taylor expansion of (* im im) in re
3.257 * [taylor]: Taking taylor expansion of im in re
3.257 * [backup-simplify]: Simplify im into im
3.257 * [taylor]: Taking taylor expansion of im in re
3.257 * [backup-simplify]: Simplify im into im
3.257 * [backup-simplify]: Simplify (* 0 0) into 0
3.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.257 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.258 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.259 * [taylor]: Taking taylor expansion of re in re
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.259 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.259 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.259 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.259 * [taylor]: Taking taylor expansion of (* re re) in re
3.259 * [taylor]: Taking taylor expansion of re in re
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [taylor]: Taking taylor expansion of re in re
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [taylor]: Taking taylor expansion of (* im im) in re
3.259 * [taylor]: Taking taylor expansion of im in re
3.259 * [backup-simplify]: Simplify im into im
3.259 * [taylor]: Taking taylor expansion of im in re
3.259 * [backup-simplify]: Simplify im into im
3.260 * [backup-simplify]: Simplify (* 0 0) into 0
3.260 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.260 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.260 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.261 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.262 * [backup-simplify]: Simplify (+ 0 0) into 0
3.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.262 * [taylor]: Taking taylor expansion of re in re
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify (- 0) into 0
3.262 * [backup-simplify]: Simplify (+ im 0) into im
3.262 * [taylor]: Taking taylor expansion of im in im
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 1 into 1
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify (- 1) into -1
3.263 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.263 * [taylor]: Taking taylor expansion of -1 in im
3.264 * [backup-simplify]: Simplify -1 into -1
3.264 * [backup-simplify]: Simplify -1 into -1
3.264 * [backup-simplify]: Simplify 1 into 1
3.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.265 * [backup-simplify]: Simplify (+ 1 0) into 1
3.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.265 * [backup-simplify]: Simplify (- 0) into 0
3.265 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.266 * [taylor]: Taking taylor expansion of 1/2 in im
3.266 * [backup-simplify]: Simplify 1/2 into 1/2
3.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.266 * [taylor]: Taking taylor expansion of im in im
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.268 * [backup-simplify]: Simplify (+ 0 0) into 0
3.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.269 * [backup-simplify]: Simplify (- 0) into 0
3.269 * [backup-simplify]: Simplify (+ 0 0) into 0
3.269 * [taylor]: Taking taylor expansion of 0 in im
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.270 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.270 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.270 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.271 * [taylor]: Taking taylor expansion of re in im
3.271 * [backup-simplify]: Simplify re into re
3.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.271 * [taylor]: Taking taylor expansion of re in im
3.271 * [backup-simplify]: Simplify re into re
3.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.271 * [taylor]: Taking taylor expansion of im in im
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.271 * [taylor]: Taking taylor expansion of im in im
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.272 * [backup-simplify]: Simplify (* 1 1) into 1
3.272 * [backup-simplify]: Simplify (+ 0 1) into 1
3.273 * [backup-simplify]: Simplify (sqrt 1) into 1
3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.274 * [backup-simplify]: Simplify (+ 0 0) into 0
3.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.275 * [taylor]: Taking taylor expansion of re in im
3.275 * [backup-simplify]: Simplify re into re
3.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.275 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.275 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.275 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.275 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.275 * [taylor]: Taking taylor expansion of re in re
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (/ 1 1) into 1
3.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.275 * [taylor]: Taking taylor expansion of re in re
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify (/ 1 1) into 1
3.276 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.276 * [taylor]: Taking taylor expansion of im in re
3.276 * [backup-simplify]: Simplify im into im
3.276 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.276 * [taylor]: Taking taylor expansion of im in re
3.276 * [backup-simplify]: Simplify im into im
3.276 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.276 * [backup-simplify]: Simplify (* 1 1) into 1
3.276 * [backup-simplify]: Simplify (+ 1 0) into 1
3.277 * [backup-simplify]: Simplify (sqrt 1) into 1
3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.279 * [taylor]: Taking taylor expansion of re in re
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify 1 into 1
3.279 * [backup-simplify]: Simplify (/ 1 1) into 1
3.279 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.279 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.279 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.279 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.279 * [taylor]: Taking taylor expansion of re in re
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify 1 into 1
3.279 * [backup-simplify]: Simplify (/ 1 1) into 1
3.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.279 * [taylor]: Taking taylor expansion of re in re
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify 1 into 1
3.280 * [backup-simplify]: Simplify (/ 1 1) into 1
3.280 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.280 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.280 * [taylor]: Taking taylor expansion of im in re
3.280 * [backup-simplify]: Simplify im into im
3.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.280 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.280 * [taylor]: Taking taylor expansion of im in re
3.280 * [backup-simplify]: Simplify im into im
3.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.280 * [backup-simplify]: Simplify (* 1 1) into 1
3.280 * [backup-simplify]: Simplify (+ 1 0) into 1
3.281 * [backup-simplify]: Simplify (sqrt 1) into 1
3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.282 * [backup-simplify]: Simplify (+ 0 0) into 0
3.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.283 * [taylor]: Taking taylor expansion of re in re
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 1 into 1
3.283 * [backup-simplify]: Simplify (/ 1 1) into 1
3.283 * [backup-simplify]: Simplify (- 1) into -1
3.283 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.283 * [taylor]: Taking taylor expansion of 0 in im
3.283 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.284 * [backup-simplify]: Simplify (- 0) into 0
3.284 * [backup-simplify]: Simplify (+ 0 0) into 0
3.284 * [taylor]: Taking taylor expansion of 0 in im
3.284 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.288 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (- 0) into 0
3.291 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.291 * [taylor]: Taking taylor expansion of 1/2 in im
3.291 * [backup-simplify]: Simplify 1/2 into 1/2
3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.291 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.291 * [taylor]: Taking taylor expansion of im in im
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 1 into 1
3.291 * [backup-simplify]: Simplify (* 1 1) into 1
3.292 * [backup-simplify]: Simplify (/ 1 1) into 1
3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.297 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (- 0) into 0
3.300 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [taylor]: Taking taylor expansion of 0 in im
3.300 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.303 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.303 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.303 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.303 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.303 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.303 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.303 * [taylor]: Taking taylor expansion of -1 in im
3.303 * [backup-simplify]: Simplify -1 into -1
3.303 * [taylor]: Taking taylor expansion of re in im
3.303 * [backup-simplify]: Simplify re into re
3.303 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.303 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.303 * [taylor]: Taking taylor expansion of -1 in im
3.303 * [backup-simplify]: Simplify -1 into -1
3.304 * [taylor]: Taking taylor expansion of re in im
3.304 * [backup-simplify]: Simplify re into re
3.304 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.304 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.304 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.304 * [taylor]: Taking taylor expansion of -1 in im
3.304 * [backup-simplify]: Simplify -1 into -1
3.304 * [taylor]: Taking taylor expansion of im in im
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 1 into 1
3.304 * [backup-simplify]: Simplify (/ -1 1) into -1
3.304 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.304 * [taylor]: Taking taylor expansion of -1 in im
3.304 * [backup-simplify]: Simplify -1 into -1
3.304 * [taylor]: Taking taylor expansion of im in im
3.304 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [backup-simplify]: Simplify (/ -1 1) into -1
3.305 * [backup-simplify]: Simplify (* -1 -1) into 1
3.306 * [backup-simplify]: Simplify (+ 0 1) into 1
3.306 * [backup-simplify]: Simplify (sqrt 1) into 1
3.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.308 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.308 * [backup-simplify]: Simplify (+ 0 0) into 0
3.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.309 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.309 * [taylor]: Taking taylor expansion of re in im
3.309 * [backup-simplify]: Simplify re into re
3.309 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.309 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.309 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.309 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.309 * [taylor]: Taking taylor expansion of -1 in re
3.309 * [backup-simplify]: Simplify -1 into -1
3.309 * [taylor]: Taking taylor expansion of re in re
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 1 into 1
3.309 * [backup-simplify]: Simplify (/ -1 1) into -1
3.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.309 * [taylor]: Taking taylor expansion of -1 in re
3.309 * [backup-simplify]: Simplify -1 into -1
3.309 * [taylor]: Taking taylor expansion of re in re
3.309 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 1 into 1
3.310 * [backup-simplify]: Simplify (/ -1 1) into -1
3.310 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.310 * [taylor]: Taking taylor expansion of -1 in re
3.310 * [backup-simplify]: Simplify -1 into -1
3.310 * [taylor]: Taking taylor expansion of im in re
3.310 * [backup-simplify]: Simplify im into im
3.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.310 * [taylor]: Taking taylor expansion of -1 in re
3.310 * [backup-simplify]: Simplify -1 into -1
3.310 * [taylor]: Taking taylor expansion of im in re
3.310 * [backup-simplify]: Simplify im into im
3.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.311 * [backup-simplify]: Simplify (* -1 -1) into 1
3.311 * [backup-simplify]: Simplify (+ 1 0) into 1
3.311 * [backup-simplify]: Simplify (sqrt 1) into 1
3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.313 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.313 * [taylor]: Taking taylor expansion of re in re
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 1 into 1
3.313 * [backup-simplify]: Simplify (/ 1 1) into 1
3.313 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.313 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.314 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.314 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.314 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.314 * [taylor]: Taking taylor expansion of -1 in re
3.314 * [backup-simplify]: Simplify -1 into -1
3.314 * [taylor]: Taking taylor expansion of re in re
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 1 into 1
3.314 * [backup-simplify]: Simplify (/ -1 1) into -1
3.314 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.314 * [taylor]: Taking taylor expansion of -1 in re
3.314 * [backup-simplify]: Simplify -1 into -1
3.314 * [taylor]: Taking taylor expansion of re in re
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 1 into 1
3.314 * [backup-simplify]: Simplify (/ -1 1) into -1
3.314 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.314 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.314 * [taylor]: Taking taylor expansion of -1 in re
3.314 * [backup-simplify]: Simplify -1 into -1
3.314 * [taylor]: Taking taylor expansion of im in re
3.314 * [backup-simplify]: Simplify im into im
3.314 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.314 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.314 * [taylor]: Taking taylor expansion of -1 in re
3.315 * [backup-simplify]: Simplify -1 into -1
3.315 * [taylor]: Taking taylor expansion of im in re
3.315 * [backup-simplify]: Simplify im into im
3.315 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.315 * [backup-simplify]: Simplify (* -1 -1) into 1
3.315 * [backup-simplify]: Simplify (+ 1 0) into 1
3.315 * [backup-simplify]: Simplify (sqrt 1) into 1
3.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.317 * [taylor]: Taking taylor expansion of re in re
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 1 into 1
3.318 * [backup-simplify]: Simplify (/ 1 1) into 1
3.318 * [backup-simplify]: Simplify (+ 1 1) into 2
3.318 * [taylor]: Taking taylor expansion of 2 in im
3.318 * [backup-simplify]: Simplify 2 into 2
3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify (+ 0 0) into 0
3.319 * [taylor]: Taking taylor expansion of 0 in im
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 2 into 2
3.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.321 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.321 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.322 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.322 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.322 * [taylor]: Taking taylor expansion of 1/2 in im
3.322 * [backup-simplify]: Simplify 1/2 into 1/2
3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.322 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.322 * [taylor]: Taking taylor expansion of im in im
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify (* 1 1) into 1
3.323 * [backup-simplify]: Simplify (/ 1 1) into 1
3.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.326 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.326 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.326 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.326 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.327 * [backup-simplify]: Simplify (+ 0 0) into 0
3.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (+ 0 0) into 0
3.328 * [taylor]: Taking taylor expansion of 0 in im
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.330 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
3.330 * [backup-simplify]: Simplify (cbrt (sqrt (* (- (hypot re im) re) 2.0))) into (* (pow (sqrt 2.0) 1/3) (pow (- (hypot re im) re) 1/6))
3.330 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot re im) re) 1/6)) in (re im) around 0
3.330 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot re im) re) 1/6)) in im
3.330 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.330 * [taylor]: Taking taylor expansion of 1/3 in im
3.330 * [backup-simplify]: Simplify 1/3 into 1/3
3.330 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.330 * [taylor]: Taking taylor expansion of 2.0 in im
3.330 * [backup-simplify]: Simplify 2.0 into 2.0
3.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.331 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.332 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.334 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.334 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/6) in im
3.334 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot re im) re)))) in im
3.334 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot re im) re))) in im
3.334 * [taylor]: Taking taylor expansion of 1/6 in im
3.334 * [backup-simplify]: Simplify 1/6 into 1/6
3.334 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im
3.334 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
3.334 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.334 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.334 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.334 * [taylor]: Taking taylor expansion of (* re re) in im
3.334 * [taylor]: Taking taylor expansion of re in im
3.334 * [backup-simplify]: Simplify re into re
3.334 * [taylor]: Taking taylor expansion of re in im
3.334 * [backup-simplify]: Simplify re into re
3.334 * [taylor]: Taking taylor expansion of (* im im) in im
3.334 * [taylor]: Taking taylor expansion of im in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [taylor]: Taking taylor expansion of im in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.334 * [backup-simplify]: Simplify (* 0 0) into 0
3.334 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.335 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.335 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.335 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.335 * [backup-simplify]: Simplify (+ 0 0) into 0
3.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.335 * [taylor]: Taking taylor expansion of re in im
3.335 * [backup-simplify]: Simplify re into re
3.335 * [backup-simplify]: Simplify (- re) into (- re)
3.335 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.336 * [backup-simplify]: Simplify (- 0) into 0
3.336 * [backup-simplify]: Simplify (+ 0 0) into 0
3.336 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.337 * [backup-simplify]: Simplify (+ 0 1) into 1
3.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.338 * [backup-simplify]: Simplify (- 0) into 0
3.338 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.338 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 re))) into (log (/ 1/2 re))
3.338 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) (log (/ 1/2 re))) into (+ (* 2 (log im)) (log (/ 1/2 re)))
3.338 * [backup-simplify]: Simplify (* 1/6 (+ (* 2 (log im)) (log (/ 1/2 re)))) into (* 1/6 (+ (* 2 (log im)) (log (/ 1/2 re))))
3.338 * [backup-simplify]: Simplify (exp (* 1/6 (+ (* 2 (log im)) (log (/ 1/2 re))))) into (exp (* 1/6 (+ (* 2 (log im)) (log (/ 1/2 re)))))
3.338 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot re im) re) 1/6)) in re
3.338 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.339 * [taylor]: Taking taylor expansion of 1/3 in re
3.339 * [backup-simplify]: Simplify 1/3 into 1/3
3.339 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.339 * [taylor]: Taking taylor expansion of 2.0 in re
3.339 * [backup-simplify]: Simplify 2.0 into 2.0
3.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.340 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.341 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.344 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.344 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/6) in re
3.344 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot re im) re)))) in re
3.344 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot re im) re))) in re
3.344 * [taylor]: Taking taylor expansion of 1/6 in re
3.344 * [backup-simplify]: Simplify 1/6 into 1/6
3.344 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re
3.344 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.344 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.344 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.344 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.344 * [taylor]: Taking taylor expansion of (* re re) in re
3.344 * [taylor]: Taking taylor expansion of re in re
3.344 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify 1 into 1
3.344 * [taylor]: Taking taylor expansion of re in re
3.344 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify 1 into 1
3.344 * [taylor]: Taking taylor expansion of (* im im) in re
3.344 * [taylor]: Taking taylor expansion of im in re
3.344 * [backup-simplify]: Simplify im into im
3.344 * [taylor]: Taking taylor expansion of im in re
3.344 * [backup-simplify]: Simplify im into im
3.345 * [backup-simplify]: Simplify (* 0 0) into 0
3.345 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.345 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.345 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.347 * [backup-simplify]: Simplify (+ 0 0) into 0
3.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.347 * [taylor]: Taking taylor expansion of re in re
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 1 into 1
3.347 * [backup-simplify]: Simplify (- 0) into 0
3.347 * [backup-simplify]: Simplify (+ im 0) into im
3.347 * [backup-simplify]: Simplify (log im) into (log im)
3.348 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
3.348 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
3.348 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot re im) re) 1/6)) in re
3.348 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.348 * [taylor]: Taking taylor expansion of 1/3 in re
3.348 * [backup-simplify]: Simplify 1/3 into 1/3
3.348 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.348 * [taylor]: Taking taylor expansion of 2.0 in re
3.348 * [backup-simplify]: Simplify 2.0 into 2.0
3.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.349 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.350 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.351 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.351 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/6) in re
3.351 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot re im) re)))) in re
3.351 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot re im) re))) in re
3.351 * [taylor]: Taking taylor expansion of 1/6 in re
3.351 * [backup-simplify]: Simplify 1/6 into 1/6
3.351 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re
3.351 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
3.351 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.352 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.352 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.352 * [taylor]: Taking taylor expansion of (* re re) in re
3.352 * [taylor]: Taking taylor expansion of re in re
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 1 into 1
3.352 * [taylor]: Taking taylor expansion of re in re
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 1 into 1
3.352 * [taylor]: Taking taylor expansion of (* im im) in re
3.352 * [taylor]: Taking taylor expansion of im in re
3.352 * [backup-simplify]: Simplify im into im
3.352 * [taylor]: Taking taylor expansion of im in re
3.352 * [backup-simplify]: Simplify im into im
3.352 * [backup-simplify]: Simplify (* 0 0) into 0
3.352 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.352 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.352 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.353 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.353 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.353 * [taylor]: Taking taylor expansion of re in re
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.353 * [backup-simplify]: Simplify (- 0) into 0
3.353 * [backup-simplify]: Simplify (+ im 0) into im
3.353 * [backup-simplify]: Simplify (log im) into (log im)
3.353 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
3.353 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
3.354 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) into (* (pow (sqrt 2.0) 1/3) (pow im 1/6))
3.354 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) in im
3.354 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.354 * [taylor]: Taking taylor expansion of 1/3 in im
3.354 * [backup-simplify]: Simplify 1/3 into 1/3
3.354 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.354 * [taylor]: Taking taylor expansion of 2.0 in im
3.354 * [backup-simplify]: Simplify 2.0 into 2.0
3.355 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.356 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.356 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.358 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.358 * [taylor]: Taking taylor expansion of (pow im 1/6) in im
3.358 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log im))) in im
3.358 * [taylor]: Taking taylor expansion of (* 1/6 (log im)) in im
3.358 * [taylor]: Taking taylor expansion of 1/6 in im
3.358 * [backup-simplify]: Simplify 1/6 into 1/6
3.358 * [taylor]: Taking taylor expansion of (log im) in im
3.358 * [taylor]: Taking taylor expansion of im in im
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 1 into 1
3.358 * [backup-simplify]: Simplify (log 1) into 0
3.358 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
3.358 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
3.359 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
3.359 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) into (* (pow (sqrt 2.0) 1/3) (pow im 1/6))
3.360 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) into (* (pow (sqrt 2.0) 1/3) (pow im 1/6))
3.361 * [backup-simplify]: Simplify (- 1) into -1
3.361 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow im 1)))) 1) into (/ -1 im)
3.362 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1 im)) (* 0 (log im))) into (- (* 1/6 (/ 1 im)))
3.362 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow (- (* 1/6 (/ 1 im))) 1) 1)))) into (* -1/6 (pow (/ 1 (pow im 5)) 1/6))
3.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.365 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (* -1/6 (pow (/ 1 (pow im 5)) 1/6))) (* 0 (pow im 1/6))) into (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))))
3.365 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))) in im
3.365 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) in im
3.365 * [taylor]: Taking taylor expansion of 1/6 in im
3.366 * [backup-simplify]: Simplify 1/6 into 1/6
3.366 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)) in im
3.366 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.366 * [taylor]: Taking taylor expansion of 1/3 in im
3.366 * [backup-simplify]: Simplify 1/3 into 1/3
3.366 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.366 * [taylor]: Taking taylor expansion of 2.0 in im
3.366 * [backup-simplify]: Simplify 2.0 into 2.0
3.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.367 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.368 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.369 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.369 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/6) in im
3.369 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 5))))) in im
3.369 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 5)))) in im
3.369 * [taylor]: Taking taylor expansion of 1/6 in im
3.369 * [backup-simplify]: Simplify 1/6 into 1/6
3.369 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
3.369 * [taylor]: Taking taylor expansion of (pow im 5) in im
3.369 * [taylor]: Taking taylor expansion of im in im
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.370 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [backup-simplify]: Simplify (log 1) into 0
3.371 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
3.371 * [backup-simplify]: Simplify (* 1/6 (- (* 5 (log im)))) into (* -5/6 (log im))
3.371 * [backup-simplify]: Simplify (exp (* -5/6 (log im))) into (pow im -5/6)
3.372 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im -5/6)) into (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))
3.373 * [backup-simplify]: Simplify (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) into (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))
3.375 * [backup-simplify]: Simplify (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))) into (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))))
3.376 * [backup-simplify]: Simplify (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))) into (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))))
3.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.377 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
3.377 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log im))) into 0
3.378 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
3.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.380 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.381 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (pow im 1/6))) into 0
3.381 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.383 * [backup-simplify]: Simplify (+ 1 0) into 1
3.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.383 * [backup-simplify]: Simplify (- 0) into 0
3.383 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 1)))) 2) into 0
3.384 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ -1 im)) (* 0 (log im)))) into 0
3.385 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow (- (* 1/6 (/ 1 im))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/72 (pow (/ 1 (pow im 11)) 1/6))
3.386 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.393 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (* 1/72 (pow (/ 1 (pow im 11)) 1/6))) (+ (* 0 (* -1/6 (pow (/ 1 (pow im 5)) 1/6))) (* 0 (pow im 1/6)))) into (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)))
3.393 * [taylor]: Taking taylor expansion of (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) in im
3.393 * [taylor]: Taking taylor expansion of 1/72 in im
3.393 * [backup-simplify]: Simplify 1/72 into 1/72
3.393 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)) in im
3.393 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.393 * [taylor]: Taking taylor expansion of 1/3 in im
3.393 * [backup-simplify]: Simplify 1/3 into 1/3
3.393 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.393 * [taylor]: Taking taylor expansion of 2.0 in im
3.393 * [backup-simplify]: Simplify 2.0 into 2.0
3.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.394 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.395 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.396 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.396 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 11)) 1/6) in im
3.396 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 11))))) in im
3.397 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 11)))) in im
3.397 * [taylor]: Taking taylor expansion of 1/6 in im
3.397 * [backup-simplify]: Simplify 1/6 into 1/6
3.397 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 11))) in im
3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 11)) in im
3.397 * [taylor]: Taking taylor expansion of (pow im 11) in im
3.397 * [taylor]: Taking taylor expansion of im in im
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 1 into 1
3.397 * [backup-simplify]: Simplify (* 1 1) into 1
3.397 * [backup-simplify]: Simplify (* 1 1) into 1
3.397 * [backup-simplify]: Simplify (* 1 1) into 1
3.398 * [backup-simplify]: Simplify (* 1 1) into 1
3.398 * [backup-simplify]: Simplify (* 1 1) into 1
3.398 * [backup-simplify]: Simplify (/ 1 1) into 1
3.398 * [backup-simplify]: Simplify (log 1) into 0
3.399 * [backup-simplify]: Simplify (+ (* (- 11) (log im)) 0) into (- (* 11 (log im)))
3.399 * [backup-simplify]: Simplify (* 1/6 (- (* 11 (log im)))) into (* -11/6 (log im))
3.399 * [backup-simplify]: Simplify (exp (* -11/6 (log im))) into (pow im -11/6)
3.399 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im -11/6)) into (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))
3.400 * [backup-simplify]: Simplify (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) into (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)))
3.401 * [backup-simplify]: Simplify (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) into (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)))
3.404 * [backup-simplify]: Simplify (+ (* (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) (pow (* 1 re) 2)) (+ (* (- (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))) (* 1 re)) (* (pow (sqrt 2.0) 1/3) (pow im 1/6)))) into (- (+ (* 1/72 (* (pow (sqrt 2.0) 1/3) (* (pow re 2) (pow (/ 1 (pow im 11)) 1/6)))) (* (pow (sqrt 2.0) 1/3) (pow im 1/6))) (* 1/6 (* (pow (sqrt 2.0) 1/3) (* re (pow (/ 1 (pow im 5)) 1/6)))))
3.404 * [backup-simplify]: Simplify (cbrt (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0))) into (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6))
3.404 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6)) in (re im) around 0
3.404 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6)) in im
3.404 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.404 * [taylor]: Taking taylor expansion of 1/3 in im
3.404 * [backup-simplify]: Simplify 1/3 into 1/3
3.404 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.405 * [taylor]: Taking taylor expansion of 2.0 in im
3.405 * [backup-simplify]: Simplify 2.0 into 2.0
3.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.406 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.407 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.408 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.408 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in im
3.408 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im
3.408 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
3.408 * [taylor]: Taking taylor expansion of 1/6 in im
3.408 * [backup-simplify]: Simplify 1/6 into 1/6
3.408 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
3.408 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.409 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.409 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.409 * [taylor]: Taking taylor expansion of re in im
3.409 * [backup-simplify]: Simplify re into re
3.409 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.409 * [taylor]: Taking taylor expansion of re in im
3.409 * [backup-simplify]: Simplify re into re
3.409 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.409 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.409 * [taylor]: Taking taylor expansion of im in im
3.409 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify 1 into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.409 * [taylor]: Taking taylor expansion of im in im
3.409 * [backup-simplify]: Simplify 0 into 0
3.409 * [backup-simplify]: Simplify 1 into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.410 * [backup-simplify]: Simplify (* 1 1) into 1
3.410 * [backup-simplify]: Simplify (+ 0 1) into 1
3.410 * [backup-simplify]: Simplify (sqrt 1) into 1
3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.413 * [taylor]: Taking taylor expansion of re in im
3.413 * [backup-simplify]: Simplify re into re
3.413 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.413 * [backup-simplify]: Simplify (+ 1 0) into 1
3.414 * [backup-simplify]: Simplify (log 1) into 0
3.414 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
3.414 * [backup-simplify]: Simplify (* 1/6 (- (log im))) into (* -1/6 (log im))
3.414 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6)
3.414 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6)) in re
3.414 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.415 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.415 * [taylor]: Taking taylor expansion of 1/3 in re
3.415 * [backup-simplify]: Simplify 1/3 into 1/3
3.415 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.415 * [taylor]: Taking taylor expansion of 2.0 in re
3.415 * [backup-simplify]: Simplify 2.0 into 2.0
3.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.417 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.418 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.420 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.420 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in re
3.420 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re
3.421 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
3.421 * [taylor]: Taking taylor expansion of 1/6 in re
3.421 * [backup-simplify]: Simplify 1/6 into 1/6
3.421 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.421 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.421 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.421 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.421 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.421 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.421 * [taylor]: Taking taylor expansion of re in re
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify 1 into 1
3.421 * [backup-simplify]: Simplify (/ 1 1) into 1
3.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.421 * [taylor]: Taking taylor expansion of re in re
3.421 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify 1 into 1
3.422 * [backup-simplify]: Simplify (/ 1 1) into 1
3.422 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.422 * [taylor]: Taking taylor expansion of im in re
3.422 * [backup-simplify]: Simplify im into im
3.422 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.422 * [taylor]: Taking taylor expansion of im in re
3.422 * [backup-simplify]: Simplify im into im
3.422 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.423 * [backup-simplify]: Simplify (* 1 1) into 1
3.423 * [backup-simplify]: Simplify (+ 1 0) into 1
3.423 * [backup-simplify]: Simplify (sqrt 1) into 1
3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.426 * [backup-simplify]: Simplify (+ 0 0) into 0
3.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.427 * [taylor]: Taking taylor expansion of re in re
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 1 into 1
3.427 * [backup-simplify]: Simplify (/ 1 1) into 1
3.427 * [backup-simplify]: Simplify (- 1) into -1
3.428 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.429 * [backup-simplify]: Simplify (- 0) into 0
3.429 * [backup-simplify]: Simplify (+ 0 0) into 0
3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.432 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.433 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.434 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify (- 0) into 0
3.435 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.436 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2)))
3.436 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2))))
3.436 * [backup-simplify]: Simplify (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))
3.437 * [backup-simplify]: Simplify (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))))
3.437 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6)) in re
3.437 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.437 * [taylor]: Taking taylor expansion of 1/3 in re
3.437 * [backup-simplify]: Simplify 1/3 into 1/3
3.437 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.437 * [taylor]: Taking taylor expansion of 2.0 in re
3.437 * [backup-simplify]: Simplify 2.0 into 2.0
3.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.439 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.441 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.443 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.443 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in re
3.443 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re
3.443 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
3.443 * [taylor]: Taking taylor expansion of 1/6 in re
3.443 * [backup-simplify]: Simplify 1/6 into 1/6
3.443 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.443 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.443 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.443 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.443 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.443 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.443 * [taylor]: Taking taylor expansion of re in re
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 1 into 1
3.444 * [backup-simplify]: Simplify (/ 1 1) into 1
3.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.444 * [taylor]: Taking taylor expansion of re in re
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 1 into 1
3.444 * [backup-simplify]: Simplify (/ 1 1) into 1
3.444 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.444 * [taylor]: Taking taylor expansion of im in re
3.444 * [backup-simplify]: Simplify im into im
3.444 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.444 * [taylor]: Taking taylor expansion of im in re
3.444 * [backup-simplify]: Simplify im into im
3.445 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.445 * [backup-simplify]: Simplify (* 1 1) into 1
3.445 * [backup-simplify]: Simplify (+ 1 0) into 1
3.446 * [backup-simplify]: Simplify (sqrt 1) into 1
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.448 * [backup-simplify]: Simplify (+ 0 0) into 0
3.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.449 * [taylor]: Taking taylor expansion of re in re
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [backup-simplify]: Simplify (/ 1 1) into 1
3.450 * [backup-simplify]: Simplify (- 1) into -1
3.450 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify (- 0) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.455 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.455 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.456 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.457 * [backup-simplify]: Simplify (- 0) into 0
3.458 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.458 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2)))
3.458 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2))))
3.459 * [backup-simplify]: Simplify (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))
3.459 * [backup-simplify]: Simplify (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))))
3.460 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))))
3.460 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))))) in im
3.460 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.460 * [taylor]: Taking taylor expansion of 1/3 in im
3.460 * [backup-simplify]: Simplify 1/3 into 1/3
3.460 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.460 * [taylor]: Taking taylor expansion of 2.0 in im
3.461 * [backup-simplify]: Simplify 2.0 into 2.0
3.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.463 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.464 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.466 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.466 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im
3.466 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))) in im
3.466 * [taylor]: Taking taylor expansion of 1/6 in im
3.466 * [backup-simplify]: Simplify 1/6 into 1/6
3.466 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im
3.466 * [taylor]: Taking taylor expansion of (log re) in im
3.467 * [taylor]: Taking taylor expansion of re in im
3.467 * [backup-simplify]: Simplify re into re
3.467 * [backup-simplify]: Simplify (log re) into (log re)
3.467 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im
3.467 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.467 * [taylor]: Taking taylor expansion of 1/2 in im
3.467 * [backup-simplify]: Simplify 1/2 into 1/2
3.467 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.467 * [taylor]: Taking taylor expansion of im in im
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (* 1 1) into 1
3.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.468 * [backup-simplify]: Simplify (log 1/2) into (log 1/2)
3.469 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im)))
3.469 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im)))
3.470 * [backup-simplify]: Simplify (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))
3.471 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))
3.472 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))))
3.474 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))))
3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.477 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.478 * [backup-simplify]: Simplify (+ 0 0) into 0
3.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.480 * [backup-simplify]: Simplify (- 0) into 0
3.480 * [backup-simplify]: Simplify (+ 0 0) into 0
3.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 1) into 0
3.482 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2))))
3.482 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))) into 0
3.483 * [backup-simplify]: Simplify (* (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.487 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.489 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))))) into 0
3.489 * [taylor]: Taking taylor expansion of 0 in im
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0
3.493 * [backup-simplify]: Simplify (+ 0 0) into 0
3.494 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0
3.496 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.500 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.502 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))))) into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.506 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.509 * [backup-simplify]: Simplify (- 0) into 0
3.509 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 2) into (/ -1/4 (pow im 2))
3.512 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2))))
3.512 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2))))))) into (- (* 1/24 (/ 1 (pow im 2))))
3.514 * [backup-simplify]: Simplify (* (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (pow im 2)))) 1) 1)))) into (* -1/24 (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)))
3.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.521 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.522 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (* -1/24 (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))))))) into (- (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)))))
3.522 * [taylor]: Taking taylor expansion of (- (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))))) in im
3.522 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)))) in im
3.522 * [taylor]: Taking taylor expansion of 1/24 in im
3.522 * [backup-simplify]: Simplify 1/24 into 1/24
3.522 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) in im
3.522 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.522 * [taylor]: Taking taylor expansion of 1/3 in im
3.522 * [backup-simplify]: Simplify 1/3 into 1/3
3.522 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.522 * [taylor]: Taking taylor expansion of 2.0 in im
3.522 * [backup-simplify]: Simplify 2.0 into 2.0
3.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.524 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.525 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.527 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.527 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)) in im
3.527 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im
3.527 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2))))) in im
3.527 * [taylor]: Taking taylor expansion of 1/6 in im
3.527 * [backup-simplify]: Simplify 1/6 into 1/6
3.527 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im
3.527 * [taylor]: Taking taylor expansion of (log re) in im
3.527 * [taylor]: Taking taylor expansion of re in im
3.528 * [backup-simplify]: Simplify re into re
3.528 * [backup-simplify]: Simplify (log re) into (log re)
3.528 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im
3.528 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.528 * [taylor]: Taking taylor expansion of 1/2 in im
3.528 * [backup-simplify]: Simplify 1/2 into 1/2
3.528 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.528 * [taylor]: Taking taylor expansion of im in im
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (* 1 1) into 1
3.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.528 * [backup-simplify]: Simplify (log 1/2) into (log 1/2)
3.529 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im)))
3.529 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im)))
3.530 * [backup-simplify]: Simplify (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))
3.530 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))
3.530 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.530 * [taylor]: Taking taylor expansion of im in im
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.530 * [backup-simplify]: Simplify (* 1 1) into 1
3.531 * [backup-simplify]: Simplify (/ (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 1) into (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))
3.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
3.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.534 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0
3.535 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0
3.540 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.542 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0
3.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.551 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.557 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))))) into 0
3.562 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))))) into 0
3.564 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))))
3.567 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))))))) into 0
3.567 * [backup-simplify]: Simplify (- 0) into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0
3.575 * [backup-simplify]: Simplify (+ 0 0) into 0
3.576 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0
3.578 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.589 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (log 1/2) (log re)) (* 2 (log im)))))))) into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.594 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 im))))) into 0
3.594 * [backup-simplify]: Simplify (+ 0 0) into 0
3.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0
3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (- 0) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.600 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 6) into 0
3.601 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2))))
3.602 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))))) into 0
3.605 * [backup-simplify]: Simplify (* (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/24 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.612 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
3.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
3.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.618 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 (* -1/24 (/ (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/6 (+ (log re) (log (/ 1/2 (pow im 2)))))))))) into 0
3.619 * [taylor]: Taking taylor expansion of 0 in im
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 0 into 0
3.620 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log (/ 1 re))) (* 2 (log (/ 1 im))))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log (/ 1 re))) (* 2 (log (/ 1 im)))))))
3.621 * [backup-simplify]: Simplify (cbrt (sqrt (* (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0))) into (* (pow (sqrt 2.0) 1/3) (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6))
3.621 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in (re im) around 0
3.621 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in im
3.621 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.621 * [taylor]: Taking taylor expansion of 1/3 in im
3.621 * [backup-simplify]: Simplify 1/3 into 1/3
3.621 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.621 * [taylor]: Taking taylor expansion of 2.0 in im
3.621 * [backup-simplify]: Simplify 2.0 into 2.0
3.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.623 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.625 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.627 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.627 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in im
3.627 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im
3.627 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
3.627 * [taylor]: Taking taylor expansion of 1/6 in im
3.627 * [backup-simplify]: Simplify 1/6 into 1/6
3.627 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.627 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.627 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.627 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.627 * [taylor]: Taking taylor expansion of -1 in im
3.628 * [backup-simplify]: Simplify -1 into -1
3.628 * [taylor]: Taking taylor expansion of re in im
3.628 * [backup-simplify]: Simplify re into re
3.628 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.628 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.628 * [taylor]: Taking taylor expansion of -1 in im
3.628 * [backup-simplify]: Simplify -1 into -1
3.628 * [taylor]: Taking taylor expansion of re in im
3.628 * [backup-simplify]: Simplify re into re
3.628 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.628 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.628 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.628 * [taylor]: Taking taylor expansion of -1 in im
3.628 * [backup-simplify]: Simplify -1 into -1
3.628 * [taylor]: Taking taylor expansion of im in im
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 1 into 1
3.629 * [backup-simplify]: Simplify (/ -1 1) into -1
3.629 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.629 * [taylor]: Taking taylor expansion of -1 in im
3.629 * [backup-simplify]: Simplify -1 into -1
3.629 * [taylor]: Taking taylor expansion of im in im
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 1 into 1
3.629 * [backup-simplify]: Simplify (/ -1 1) into -1
3.629 * [backup-simplify]: Simplify (* -1 -1) into 1
3.630 * [backup-simplify]: Simplify (+ 0 1) into 1
3.630 * [backup-simplify]: Simplify (sqrt 1) into 1
3.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.633 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.634 * [backup-simplify]: Simplify (+ 0 0) into 0
3.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.634 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.634 * [taylor]: Taking taylor expansion of re in im
3.634 * [backup-simplify]: Simplify re into re
3.634 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.635 * [backup-simplify]: Simplify (+ 1 0) into 1
3.635 * [backup-simplify]: Simplify (log 1) into 0
3.636 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
3.636 * [backup-simplify]: Simplify (* 1/6 (- (log im))) into (* -1/6 (log im))
3.636 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6)
3.636 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in re
3.636 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.636 * [taylor]: Taking taylor expansion of 1/3 in re
3.636 * [backup-simplify]: Simplify 1/3 into 1/3
3.636 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.636 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.636 * [taylor]: Taking taylor expansion of 2.0 in re
3.636 * [backup-simplify]: Simplify 2.0 into 2.0
3.637 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.638 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.640 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.642 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.642 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in re
3.642 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re
3.642 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
3.642 * [taylor]: Taking taylor expansion of 1/6 in re
3.642 * [backup-simplify]: Simplify 1/6 into 1/6
3.642 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.642 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.642 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.642 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.643 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.643 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.643 * [taylor]: Taking taylor expansion of -1 in re
3.643 * [backup-simplify]: Simplify -1 into -1
3.643 * [taylor]: Taking taylor expansion of re in re
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [backup-simplify]: Simplify (/ -1 1) into -1
3.643 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.643 * [taylor]: Taking taylor expansion of -1 in re
3.643 * [backup-simplify]: Simplify -1 into -1
3.643 * [taylor]: Taking taylor expansion of re in re
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.644 * [backup-simplify]: Simplify (/ -1 1) into -1
3.644 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.644 * [taylor]: Taking taylor expansion of -1 in re
3.644 * [backup-simplify]: Simplify -1 into -1
3.644 * [taylor]: Taking taylor expansion of im in re
3.644 * [backup-simplify]: Simplify im into im
3.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.644 * [taylor]: Taking taylor expansion of -1 in re
3.644 * [backup-simplify]: Simplify -1 into -1
3.644 * [taylor]: Taking taylor expansion of im in re
3.644 * [backup-simplify]: Simplify im into im
3.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.644 * [backup-simplify]: Simplify (* -1 -1) into 1
3.645 * [backup-simplify]: Simplify (+ 1 0) into 1
3.645 * [backup-simplify]: Simplify (sqrt 1) into 1
3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.648 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.648 * [backup-simplify]: Simplify (+ 0 0) into 0
3.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.648 * [taylor]: Taking taylor expansion of re in re
3.648 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify 1 into 1
3.649 * [backup-simplify]: Simplify (/ 1 1) into 1
3.649 * [backup-simplify]: Simplify (+ 1 1) into 2
3.649 * [backup-simplify]: Simplify (log 2) into (log 2)
3.650 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
3.650 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
3.650 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
3.650 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in re
3.650 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.650 * [taylor]: Taking taylor expansion of 1/3 in re
3.650 * [backup-simplify]: Simplify 1/3 into 1/3
3.650 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.650 * [taylor]: Taking taylor expansion of 2.0 in re
3.650 * [backup-simplify]: Simplify 2.0 into 2.0
3.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.652 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.653 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.654 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.654 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in re
3.654 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re
3.654 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
3.654 * [taylor]: Taking taylor expansion of 1/6 in re
3.654 * [backup-simplify]: Simplify 1/6 into 1/6
3.654 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.654 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.654 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.654 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.654 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.654 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.654 * [taylor]: Taking taylor expansion of -1 in re
3.654 * [backup-simplify]: Simplify -1 into -1
3.654 * [taylor]: Taking taylor expansion of re in re
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.655 * [backup-simplify]: Simplify (/ -1 1) into -1
3.655 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.655 * [taylor]: Taking taylor expansion of -1 in re
3.655 * [backup-simplify]: Simplify -1 into -1
3.655 * [taylor]: Taking taylor expansion of re in re
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 1 into 1
3.655 * [backup-simplify]: Simplify (/ -1 1) into -1
3.655 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.655 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.655 * [taylor]: Taking taylor expansion of -1 in re
3.655 * [backup-simplify]: Simplify -1 into -1
3.655 * [taylor]: Taking taylor expansion of im in re
3.655 * [backup-simplify]: Simplify im into im
3.655 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.655 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.655 * [taylor]: Taking taylor expansion of -1 in re
3.655 * [backup-simplify]: Simplify -1 into -1
3.655 * [taylor]: Taking taylor expansion of im in re
3.655 * [backup-simplify]: Simplify im into im
3.655 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.655 * [backup-simplify]: Simplify (* -1 -1) into 1
3.656 * [backup-simplify]: Simplify (+ 1 0) into 1
3.656 * [backup-simplify]: Simplify (sqrt 1) into 1
3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.658 * [taylor]: Taking taylor expansion of re in re
3.658 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify 1 into 1
3.658 * [backup-simplify]: Simplify (/ 1 1) into 1
3.659 * [backup-simplify]: Simplify (+ 1 1) into 2
3.660 * [backup-simplify]: Simplify (log 2) into (log 2)
3.661 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
3.661 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
3.661 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
3.662 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
3.662 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) in im
3.662 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.663 * [taylor]: Taking taylor expansion of 1/3 in im
3.663 * [backup-simplify]: Simplify 1/3 into 1/3
3.663 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.663 * [taylor]: Taking taylor expansion of 2.0 in im
3.663 * [backup-simplify]: Simplify 2.0 into 2.0
3.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.664 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.665 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.666 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.666 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im
3.666 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im
3.666 * [taylor]: Taking taylor expansion of 1/6 in im
3.666 * [backup-simplify]: Simplify 1/6 into 1/6
3.666 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im
3.666 * [taylor]: Taking taylor expansion of (log 2) in im
3.666 * [taylor]: Taking taylor expansion of 2 in im
3.666 * [backup-simplify]: Simplify 2 into 2
3.666 * [backup-simplify]: Simplify (log 2) into (log 2)
3.666 * [taylor]: Taking taylor expansion of (log re) in im
3.666 * [taylor]: Taking taylor expansion of re in im
3.666 * [backup-simplify]: Simplify re into re
3.666 * [backup-simplify]: Simplify (log re) into (log re)
3.667 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
3.667 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re))
3.667 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
3.667 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
3.668 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
3.669 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.670 * [backup-simplify]: Simplify (+ 0 0) into 0
3.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
3.671 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
3.672 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log 2) (log re)))) into 0
3.673 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.676 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (log 2) (log re)))))) into 0
3.676 * [taylor]: Taking taylor expansion of 0 in im
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
3.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
3.679 * [backup-simplify]: Simplify (- 0) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log 2) (log re)))) into 0
3.681 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.687 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (log 2) (log re)))))) into 0
3.687 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.690 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.691 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.692 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 1)))) 2) into (/ 1/4 (pow im 2))
3.694 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
3.695 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into (* 1/24 (/ 1 (pow im 2)))
3.696 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (pow im 2))) 1) 1)))) into (* 1/24 (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))
3.696 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.699 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.702 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (* 1/24 (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/6 (- (log 2) (log re))))))) into (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))))
3.702 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))) in im
3.702 * [taylor]: Taking taylor expansion of 1/24 in im
3.702 * [backup-simplify]: Simplify 1/24 into 1/24
3.702 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))) in im
3.702 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.703 * [taylor]: Taking taylor expansion of 1/3 in im
3.703 * [backup-simplify]: Simplify 1/3 into 1/3
3.703 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.703 * [taylor]: Taking taylor expansion of 2.0 in im
3.703 * [backup-simplify]: Simplify 2.0 into 2.0
3.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.704 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.705 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.706 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.706 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)) in im
3.706 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im
3.706 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im
3.706 * [taylor]: Taking taylor expansion of 1/6 in im
3.706 * [backup-simplify]: Simplify 1/6 into 1/6
3.706 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im
3.706 * [taylor]: Taking taylor expansion of (log 2) in im
3.706 * [taylor]: Taking taylor expansion of 2 in im
3.706 * [backup-simplify]: Simplify 2 into 2
3.706 * [backup-simplify]: Simplify (log 2) into (log 2)
3.706 * [taylor]: Taking taylor expansion of (log re) in im
3.706 * [taylor]: Taking taylor expansion of re in im
3.706 * [backup-simplify]: Simplify re into re
3.707 * [backup-simplify]: Simplify (log re) into (log re)
3.707 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
3.707 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re))
3.707 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
3.707 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
3.707 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.707 * [taylor]: Taking taylor expansion of im in im
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 1 into 1
3.708 * [backup-simplify]: Simplify (* 1 1) into 1
3.708 * [backup-simplify]: Simplify (/ (exp (* 1/6 (- (log 2) (log re)))) 1) into (exp (* 1/6 (- (log 2) (log re))))
3.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
3.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
3.710 * [backup-simplify]: Simplify (- 0) into 0
3.710 * [backup-simplify]: Simplify (+ 0 0) into 0
3.711 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log 2) (log re)))) into 0
3.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
3.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
3.713 * [backup-simplify]: Simplify (- 0) into 0
3.714 * [backup-simplify]: Simplify (+ 0 0) into 0
3.714 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0
3.715 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.717 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (log 2) (log re)))) (/ 0 1)))) into 0
3.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (log 2) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.723 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.729 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.733 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (log 2) (log re))))))) into 0
3.734 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (log 2) (log re)))))) into 0
3.736 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
3.738 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))))) into 0
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
3.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
3.743 * [backup-simplify]: Simplify (- 0) into 0
3.743 * [backup-simplify]: Simplify (+ 0 0) into 0
3.744 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0
3.746 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
3.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.755 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (log 2) (log re))))))) into 0
3.755 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.759 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.759 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.759 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.759 * [backup-simplify]: Simplify (+ 0 0) into 0
3.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.761 * [backup-simplify]: Simplify (+ 0 0) into 0
3.765 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
3.766 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
3.767 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re)))))) into 0
3.770 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/24 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.777 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
3.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
3.784 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.786 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 (* 1/24 (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/6 (- (log 2) (log re)))))))) into 0
3.786 * [taylor]: Taking taylor expansion of 0 in im
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 (- re))))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ -1 re))))))
3.788 * * * [progress]: simplifying candidates
3.791 * [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)
  (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)
  (expm1 (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (log1p (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (log (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (exp (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))))
  (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (- (hypot re im) re)))
  (cbrt (sqrt 2.0))
  (cbrt (sqrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt 1)
  (cbrt (sqrt (* (- (hypot re im) re) 2.0)))
  (cbrt (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)))
  (cbrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))
  (cbrt (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)))
  (cbrt (sqrt (+ (hypot re im) re)))
  (* (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0)))))
  (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (* (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (sqrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (sqrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* 1/72 (* (pow (sqrt 2.0) 1/3) (* (pow re 2) (pow (/ 1 (pow im 11)) 1/6)))) (* (pow (sqrt 2.0) 1/3) (pow im 1/6))) (* 1/6 (* (pow (sqrt 2.0) 1/3) (* re (pow (/ 1 (pow im 5)) 1/6)))))
  (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log 1/2) (log (/ 1 re))) (* 2 (log (/ 1 im)))))))
  (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ -1 re))))))
3.794 * * [simplify]: iteration 0: 135 enodes
3.828 * * [simplify]: iteration 1: 275 enodes
3.935 * * [simplify]: iteration 2: 827 enodes
4.635 * * [simplify]: iteration 3: 3866 enodes
5.452 * * [simplify]: iteration complete: 5000 enodes
5.452 * * [simplify]: Extracting #0: cost 42 inf + 0
5.455 * * [simplify]: Extracting #1: cost 525 inf + 2
5.464 * * [simplify]: Extracting #2: cost 842 inf + 996
5.474 * * [simplify]: Extracting #3: cost 642 inf + 3211
5.486 * * [simplify]: Extracting #4: cost 513 inf + 4339
5.491 * * [simplify]: Extracting #5: cost 384 inf + 5178
5.497 * * [simplify]: Extracting #6: cost 182 inf + 7358
5.502 * * [simplify]: Extracting #7: cost 26 inf + 9426
5.508 * * [simplify]: Extracting #8: cost 0 inf + 9766
5.514 * [simplify]: Simplified to:
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 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))
  (pow (- (hypot re im) re) 3)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (fma (hypot re im) (+ re (hypot re im)) (* re re))
  (- re)
  (* (+ re (hypot re im)) (- (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)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 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))
  (pow (- (hypot re im) re) 3)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (fma (hypot re im) (+ re (hypot re im)) (* re re))
  (- re)
  (* (+ re (hypot re im)) (- (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)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (pow (cbrt (hypot re im)) 3) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 re)
  (- (hypot re im) re)
  (* 0 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))
  (pow (- (hypot re im) re) 3)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (fma (hypot re im) (+ re (hypot re im)) (* re re))
  (- re)
  (* (+ re (hypot re im)) (- (hypot re im) re))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- (hypot re im) re)
  (- re)
  (expm1 (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (log1p (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (log (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (exp (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))))
  (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (- (hypot re im) re)))
  (cbrt (sqrt 2.0))
  (cbrt (sqrt (sqrt (* (- (hypot re im) re) 2.0))))
  (cbrt (sqrt (sqrt (* (- (hypot re im) re) 2.0))))
  1
  (cbrt (sqrt (* (- (hypot re im) re) 2.0)))
  (cbrt (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)))
  (cbrt (sqrt (fma (hypot re im) (+ re (hypot re im)) (* re re))))
  (cbrt (sqrt (* 2.0 (* (+ re (hypot re im)) (- (hypot re im) re)))))
  (cbrt (sqrt (+ (hypot re im) re)))
  (* (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0)))))
  (cbrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (sqrt (* (- (hypot re im) re) 2.0))
  (sqrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (sqrt (cbrt (sqrt (* (- (hypot re im) re) 2.0))))
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
  (fma (* -1/6 re) (* (cbrt (sqrt 2.0)) (pow (/ 1 (pow im 5)) 1/6)) (* (cbrt (sqrt 2.0)) (fma (* re (pow (/ 1 (pow im 11)) 1/6)) (* re 1/72) (pow im 1/6))))
  (* (pow (exp (- (log 1/2) (fma (log im) -2 (log re)))) 1/6) (cbrt (sqrt 2.0)))
  (* (pow (exp 1/6) (- (log 2) (log (/ -1 re)))) (cbrt (sqrt 2.0)))
5.515 * * * [progress]: adding candidates to table
6.177 * * [progress]: iteration 3 / 4
6.177 * * * [progress]: picking best candidate
6.240 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))>
6.241 * * * [progress]: localizing error
6.256 * * * [progress]: generating rewritten candidates
6.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
6.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
6.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
6.303 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1)
6.307 * * * [progress]: generating series expansions
6.307 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
6.307 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re)
6.307 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
6.307 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
6.307 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.307 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.307 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.307 * [taylor]: Taking taylor expansion of (* re re) in im
6.307 * [taylor]: Taking taylor expansion of re in im
6.307 * [backup-simplify]: Simplify re into re
6.307 * [taylor]: Taking taylor expansion of re in im
6.307 * [backup-simplify]: Simplify re into re
6.307 * [taylor]: Taking taylor expansion of (* im im) in im
6.307 * [taylor]: Taking taylor expansion of im in im
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 1 into 1
6.307 * [taylor]: Taking taylor expansion of im in im
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 1 into 1
6.308 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.308 * [backup-simplify]: Simplify (* 0 0) into 0
6.308 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.308 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.308 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.309 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.309 * [backup-simplify]: Simplify (+ 0 0) into 0
6.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.309 * [taylor]: Taking taylor expansion of re in im
6.309 * [backup-simplify]: Simplify re into re
6.309 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.309 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.309 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.309 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.309 * [taylor]: Taking taylor expansion of (* re re) in re
6.310 * [taylor]: Taking taylor expansion of re in re
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.310 * [taylor]: Taking taylor expansion of re in re
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.310 * [taylor]: Taking taylor expansion of (* im im) in re
6.310 * [taylor]: Taking taylor expansion of im in re
6.310 * [backup-simplify]: Simplify im into im
6.310 * [taylor]: Taking taylor expansion of im in re
6.310 * [backup-simplify]: Simplify im into im
6.310 * [backup-simplify]: Simplify (* 0 0) into 0
6.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.310 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.310 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.311 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.311 * [backup-simplify]: Simplify (+ 0 0) into 0
6.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
6.311 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.312 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.312 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.312 * [taylor]: Taking taylor expansion of (* re re) in re
6.312 * [taylor]: Taking taylor expansion of re in re
6.312 * [backup-simplify]: Simplify 0 into 0
6.312 * [backup-simplify]: Simplify 1 into 1
6.312 * [taylor]: Taking taylor expansion of re in re
6.312 * [backup-simplify]: Simplify 0 into 0
6.312 * [backup-simplify]: Simplify 1 into 1
6.312 * [taylor]: Taking taylor expansion of (* im im) in re
6.312 * [taylor]: Taking taylor expansion of im in re
6.312 * [backup-simplify]: Simplify im into im
6.312 * [taylor]: Taking taylor expansion of im in re
6.312 * [backup-simplify]: Simplify im into im
6.312 * [backup-simplify]: Simplify (* 0 0) into 0
6.312 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.312 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.312 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.313 * [backup-simplify]: Simplify (+ 0 0) into 0
6.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.313 * [taylor]: Taking taylor expansion of re in re
6.313 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify 1 into 1
6.314 * [backup-simplify]: Simplify (- 0) into 0
6.314 * [backup-simplify]: Simplify (+ im 0) into im
6.314 * [taylor]: Taking taylor expansion of im in im
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 1 into 1
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify (- 1) into -1
6.314 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.314 * [taylor]: Taking taylor expansion of -1 in im
6.314 * [backup-simplify]: Simplify -1 into -1
6.314 * [backup-simplify]: Simplify -1 into -1
6.314 * [backup-simplify]: Simplify 1 into 1
6.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.315 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.315 * [backup-simplify]: Simplify (+ 1 0) into 1
6.316 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.316 * [backup-simplify]: Simplify (- 0) into 0
6.316 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.316 * [taylor]: Taking taylor expansion of 1/2 in im
6.316 * [backup-simplify]: Simplify 1/2 into 1/2
6.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.316 * [taylor]: Taking taylor expansion of im in im
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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.317 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify 0 into 0
6.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.319 * [backup-simplify]: Simplify (+ 0 0) into 0
6.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.319 * [backup-simplify]: Simplify (- 0) into 0
6.320 * [backup-simplify]: Simplify (+ 0 0) into 0
6.320 * [taylor]: Taking taylor expansion of 0 in im
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.321 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
6.321 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
6.321 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
6.321 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
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 im
6.322 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.322 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.322 * [taylor]: Taking taylor expansion of re in im
6.322 * [backup-simplify]: Simplify re into re
6.322 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.322 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.322 * [taylor]: Taking taylor expansion of re in im
6.322 * [backup-simplify]: Simplify re into re
6.322 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.322 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.322 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.322 * [taylor]: Taking taylor expansion of im in im
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) in im
6.322 * [taylor]: Taking taylor expansion of im in im
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
6.323 * [backup-simplify]: Simplify (* 1 1) into 1
6.323 * [backup-simplify]: Simplify (+ 0 1) into 1
6.323 * [backup-simplify]: Simplify (sqrt 1) into 1
6.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.324 * [backup-simplify]: Simplify (- (+ (* 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 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.325 * [taylor]: Taking taylor expansion of re in im
6.325 * [backup-simplify]: Simplify re into re
6.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.325 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.325 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.325 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.325 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.325 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.325 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.325 * [taylor]: Taking taylor expansion of re in re
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 1 into 1
6.326 * [backup-simplify]: Simplify (/ 1 1) into 1
6.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re
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
6.326 * [backup-simplify]: Simplify (/ 1 1) into 1
6.326 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.326 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.326 * [taylor]: Taking taylor expansion of im in re
6.326 * [backup-simplify]: Simplify im into im
6.326 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.326 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.326 * [taylor]: Taking taylor expansion of im in re
6.326 * [backup-simplify]: Simplify im into im
6.326 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.326 * [backup-simplify]: Simplify (* 1 1) into 1
6.327 * [backup-simplify]: Simplify (+ 1 0) into 1
6.327 * [backup-simplify]: Simplify (sqrt 1) into 1
6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.329 * [backup-simplify]: Simplify (+ 0 0) into 0
6.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.329 * [taylor]: Taking taylor expansion of re in re
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 1 into 1
6.329 * [backup-simplify]: Simplify (/ 1 1) into 1
6.329 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
6.329 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.329 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.329 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re
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
6.330 * [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 re in re
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 1 into 1
6.330 * [backup-simplify]: Simplify (/ 1 1) into 1
6.330 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.330 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.330 * [taylor]: Taking taylor expansion of im in re
6.330 * [backup-simplify]: Simplify im into im
6.330 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.330 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.330 * [taylor]: Taking taylor expansion of im in re
6.330 * [backup-simplify]: Simplify im into im
6.330 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.331 * [backup-simplify]: Simplify (* 1 1) into 1
6.331 * [backup-simplify]: Simplify (+ 1 0) into 1
6.331 * [backup-simplify]: Simplify (sqrt 1) into 1
6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.333 * [backup-simplify]: Simplify (+ 0 0) into 0
6.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.333 * [taylor]: Taking taylor expansion of re in re
6.333 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify 1 into 1
6.333 * [backup-simplify]: Simplify (/ 1 1) into 1
6.334 * [backup-simplify]: Simplify (- 1) into -1
6.334 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.334 * [taylor]: Taking taylor expansion of 0 in im
6.334 * [backup-simplify]: Simplify 0 into 0
6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.335 * [backup-simplify]: Simplify (- 0) into 0
6.335 * [backup-simplify]: Simplify (+ 0 0) into 0
6.335 * [taylor]: Taking taylor expansion of 0 in im
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.337 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.338 * [backup-simplify]: Simplify (- 0) into 0
6.339 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.339 * [taylor]: Taking taylor expansion of 1/2 in im
6.339 * [backup-simplify]: Simplify 1/2 into 1/2
6.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.339 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.339 * [taylor]: Taking taylor expansion of im in im
6.339 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify 1 into 1
6.339 * [backup-simplify]: Simplify (* 1 1) into 1
6.339 * [backup-simplify]: Simplify (/ 1 1) into 1
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.341 * [backup-simplify]: Simplify 0 into 0
6.341 * [backup-simplify]: Simplify 0 into 0
6.341 * [backup-simplify]: Simplify 0 into 0
6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.343 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.343 * [backup-simplify]: Simplify (+ 0 0) into 0
6.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.344 * [backup-simplify]: Simplify (- 0) into 0
6.344 * [backup-simplify]: Simplify (+ 0 0) into 0
6.344 * [taylor]: Taking taylor expansion of 0 in im
6.344 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.346 * [backup-simplify]: Simplify 0 into 0
6.346 * [backup-simplify]: Simplify 0 into 0
6.346 * [backup-simplify]: Simplify 0 into 0
6.346 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.346 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.346 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.346 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.346 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.346 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.347 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.347 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.347 * [taylor]: Taking taylor expansion of -1 in im
6.347 * [backup-simplify]: Simplify -1 into -1
6.347 * [taylor]: Taking taylor expansion of re in im
6.347 * [backup-simplify]: Simplify re into re
6.347 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.347 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.347 * [taylor]: Taking taylor expansion of -1 in im
6.347 * [backup-simplify]: Simplify -1 into -1
6.347 * [taylor]: Taking taylor expansion of re in im
6.347 * [backup-simplify]: Simplify re into re
6.347 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.347 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.347 * [taylor]: Taking taylor expansion of -1 in im
6.347 * [backup-simplify]: Simplify -1 into -1
6.347 * [taylor]: Taking taylor expansion of im in im
6.347 * [backup-simplify]: Simplify 0 into 0
6.347 * [backup-simplify]: Simplify 1 into 1
6.347 * [backup-simplify]: Simplify (/ -1 1) into -1
6.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.347 * [taylor]: Taking taylor expansion of -1 in im
6.347 * [backup-simplify]: Simplify -1 into -1
6.347 * [taylor]: Taking taylor expansion of im in im
6.347 * [backup-simplify]: Simplify 0 into 0
6.347 * [backup-simplify]: Simplify 1 into 1
6.348 * [backup-simplify]: Simplify (/ -1 1) into -1
6.348 * [backup-simplify]: Simplify (* -1 -1) into 1
6.348 * [backup-simplify]: Simplify (+ 0 1) into 1
6.348 * [backup-simplify]: Simplify (sqrt 1) into 1
6.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.350 * [backup-simplify]: Simplify (+ 0 0) into 0
6.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.351 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.351 * [taylor]: Taking taylor expansion of re in im
6.351 * [backup-simplify]: Simplify re into re
6.351 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.351 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.351 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.351 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.351 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.351 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.351 * [taylor]: Taking taylor expansion of -1 in re
6.351 * [backup-simplify]: Simplify -1 into -1
6.351 * [taylor]: Taking taylor expansion of re in re
6.351 * [backup-simplify]: Simplify 0 into 0
6.351 * [backup-simplify]: Simplify 1 into 1
6.351 * [backup-simplify]: Simplify (/ -1 1) into -1
6.352 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.352 * [taylor]: Taking taylor expansion of -1 in re
6.352 * [backup-simplify]: Simplify -1 into -1
6.352 * [taylor]: Taking taylor expansion of re in re
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify 1 into 1
6.352 * [backup-simplify]: Simplify (/ -1 1) into -1
6.352 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.352 * [taylor]: Taking taylor expansion of -1 in re
6.352 * [backup-simplify]: Simplify -1 into -1
6.352 * [taylor]: Taking taylor expansion of im in re
6.352 * [backup-simplify]: Simplify im into im
6.352 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.352 * [taylor]: Taking taylor expansion of -1 in re
6.352 * [backup-simplify]: Simplify -1 into -1
6.352 * [taylor]: Taking taylor expansion of im in re
6.352 * [backup-simplify]: Simplify im into im
6.352 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.352 * [backup-simplify]: Simplify (* -1 -1) into 1
6.353 * [backup-simplify]: Simplify (+ 1 0) into 1
6.353 * [backup-simplify]: Simplify (sqrt 1) into 1
6.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.354 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.355 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.355 * [taylor]: Taking taylor expansion of re in re
6.355 * [backup-simplify]: Simplify 0 into 0
6.355 * [backup-simplify]: Simplify 1 into 1
6.355 * [backup-simplify]: Simplify (/ 1 1) into 1
6.355 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.355 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.355 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.355 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.355 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.355 * [taylor]: Taking taylor expansion of -1 in re
6.356 * [backup-simplify]: Simplify -1 into -1
6.356 * [taylor]: Taking taylor expansion of re in re
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify 1 into 1
6.356 * [backup-simplify]: Simplify (/ -1 1) into -1
6.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.356 * [taylor]: Taking taylor expansion of -1 in re
6.356 * [backup-simplify]: Simplify -1 into -1
6.356 * [taylor]: Taking taylor expansion of re in re
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify 1 into 1
6.356 * [backup-simplify]: Simplify (/ -1 1) into -1
6.356 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.356 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.356 * [taylor]: Taking taylor expansion of -1 in re
6.356 * [backup-simplify]: Simplify -1 into -1
6.356 * [taylor]: Taking taylor expansion of im in re
6.356 * [backup-simplify]: Simplify im into im
6.356 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.356 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.356 * [taylor]: Taking taylor expansion of -1 in re
6.356 * [backup-simplify]: Simplify -1 into -1
6.356 * [taylor]: Taking taylor expansion of im in re
6.356 * [backup-simplify]: Simplify im into im
6.356 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.357 * [backup-simplify]: Simplify (* -1 -1) into 1
6.357 * [backup-simplify]: Simplify (+ 1 0) into 1
6.357 * [backup-simplify]: Simplify (sqrt 1) into 1
6.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.359 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.359 * [backup-simplify]: Simplify (+ 0 0) into 0
6.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.359 * [taylor]: Taking taylor expansion of re in re
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify 1 into 1
6.360 * [backup-simplify]: Simplify (/ 1 1) into 1
6.360 * [backup-simplify]: Simplify (+ 1 1) into 2
6.360 * [taylor]: Taking taylor expansion of 2 in im
6.360 * [backup-simplify]: Simplify 2 into 2
6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.361 * [backup-simplify]: Simplify (+ 0 0) into 0
6.361 * [taylor]: Taking taylor expansion of 0 in im
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 2 into 2
6.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.364 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.367 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.367 * [taylor]: Taking taylor expansion of 1/2 in im
6.367 * [backup-simplify]: Simplify 1/2 into 1/2
6.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.367 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.367 * [taylor]: Taking taylor expansion of im in im
6.367 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify 1 into 1
6.368 * [backup-simplify]: Simplify (* 1 1) into 1
6.368 * [backup-simplify]: Simplify (/ 1 1) into 1
6.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.370 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.373 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.373 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.373 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.374 * [backup-simplify]: Simplify (+ 0 0) into 0
6.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.376 * [backup-simplify]: Simplify (+ 0 0) into 0
6.376 * [taylor]: Taking taylor expansion of 0 in im
6.376 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
6.379 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
6.379 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
6.379 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.379 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.379 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.379 * [taylor]: Taking taylor expansion of (* re re) in im
6.379 * [taylor]: Taking taylor expansion of re in im
6.380 * [backup-simplify]: Simplify re into re
6.380 * [taylor]: Taking taylor expansion of re in im
6.380 * [backup-simplify]: Simplify re into re
6.380 * [taylor]: Taking taylor expansion of (* im im) in im
6.380 * [taylor]: Taking taylor expansion of im in im
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 1 into 1
6.380 * [taylor]: Taking taylor expansion of im in im
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 1 into 1
6.380 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.380 * [backup-simplify]: Simplify (* 0 0) into 0
6.380 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.380 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.381 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.381 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.382 * [backup-simplify]: Simplify (+ 0 0) into 0
6.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.382 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.382 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.382 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.382 * [taylor]: Taking taylor expansion of (* re re) in re
6.382 * [taylor]: Taking taylor expansion of re in re
6.382 * [backup-simplify]: Simplify 0 into 0
6.382 * [backup-simplify]: Simplify 1 into 1
6.382 * [taylor]: Taking taylor expansion of re in re
6.382 * [backup-simplify]: Simplify 0 into 0
6.382 * [backup-simplify]: Simplify 1 into 1
6.382 * [taylor]: Taking taylor expansion of (* im im) in re
6.382 * [taylor]: Taking taylor expansion of im in re
6.382 * [backup-simplify]: Simplify im into im
6.382 * [taylor]: Taking taylor expansion of im in re
6.382 * [backup-simplify]: Simplify im into im
6.383 * [backup-simplify]: Simplify (* 0 0) into 0
6.383 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.383 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.383 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.384 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.384 * [backup-simplify]: Simplify (+ 0 0) into 0
6.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.384 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.385 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.385 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.385 * [taylor]: Taking taylor expansion of (* re re) in re
6.385 * [taylor]: Taking taylor expansion of re in re
6.385 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify 1 into 1
6.385 * [taylor]: Taking taylor expansion of re in re
6.385 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify 1 into 1
6.385 * [taylor]: Taking taylor expansion of (* im im) in re
6.385 * [taylor]: Taking taylor expansion of im in re
6.385 * [backup-simplify]: Simplify im into im
6.385 * [taylor]: Taking taylor expansion of im in re
6.385 * [backup-simplify]: Simplify im into im
6.390 * [backup-simplify]: Simplify (* 0 0) into 0
6.391 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.391 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.391 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.392 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.393 * [backup-simplify]: Simplify (+ 0 0) into 0
6.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.393 * [taylor]: Taking taylor expansion of im in im
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 1 into 1
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [taylor]: Taking taylor expansion of 0 in im
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 1 into 1
6.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.395 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.395 * [backup-simplify]: Simplify (+ 1 0) into 1
6.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.396 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.396 * [taylor]: Taking taylor expansion of 1/2 in im
6.396 * [backup-simplify]: Simplify 1/2 into 1/2
6.396 * [taylor]: Taking taylor expansion of im in im
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.400 * [backup-simplify]: Simplify (+ 0 0) into 0
6.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.400 * [taylor]: Taking taylor expansion of 0 in im
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.402 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
6.402 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
6.402 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.402 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.402 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.402 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.402 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.402 * [taylor]: Taking taylor expansion of re in im
6.402 * [backup-simplify]: Simplify re into re
6.402 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.402 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.402 * [taylor]: Taking taylor expansion of re in im
6.402 * [backup-simplify]: Simplify re into re
6.402 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.402 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.402 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.402 * [taylor]: Taking taylor expansion of im in im
6.402 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify 1 into 1
6.403 * [backup-simplify]: Simplify (/ 1 1) into 1
6.403 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.403 * [taylor]: Taking taylor expansion of im in im
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 1 into 1
6.403 * [backup-simplify]: Simplify (/ 1 1) into 1
6.403 * [backup-simplify]: Simplify (* 1 1) into 1
6.404 * [backup-simplify]: Simplify (+ 0 1) into 1
6.404 * [backup-simplify]: Simplify (sqrt 1) into 1
6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.407 * [backup-simplify]: Simplify (+ 0 0) into 0
6.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.408 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.408 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.408 * [taylor]: Taking taylor expansion of re in re
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 1 into 1
6.408 * [backup-simplify]: Simplify (/ 1 1) into 1
6.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.408 * [taylor]: Taking taylor expansion of re in re
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 1 into 1
6.409 * [backup-simplify]: Simplify (/ 1 1) into 1
6.409 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.409 * [taylor]: Taking taylor expansion of im in re
6.409 * [backup-simplify]: Simplify im into im
6.409 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.409 * [taylor]: Taking taylor expansion of im in re
6.409 * [backup-simplify]: Simplify im into im
6.409 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.409 * [backup-simplify]: Simplify (* 1 1) into 1
6.410 * [backup-simplify]: Simplify (+ 1 0) into 1
6.410 * [backup-simplify]: Simplify (sqrt 1) into 1
6.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.412 * [backup-simplify]: Simplify (+ 0 0) into 0
6.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.413 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.413 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.413 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.413 * [taylor]: Taking taylor expansion of re in re
6.413 * [backup-simplify]: Simplify 0 into 0
6.413 * [backup-simplify]: Simplify 1 into 1
6.414 * [backup-simplify]: Simplify (/ 1 1) into 1
6.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.414 * [taylor]: Taking taylor expansion of re in re
6.414 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify 1 into 1
6.414 * [backup-simplify]: Simplify (/ 1 1) into 1
6.414 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.414 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.414 * [taylor]: Taking taylor expansion of im in re
6.414 * [backup-simplify]: Simplify im into im
6.414 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.414 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.414 * [taylor]: Taking taylor expansion of im in re
6.414 * [backup-simplify]: Simplify im into im
6.414 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.415 * [backup-simplify]: Simplify (* 1 1) into 1
6.415 * [backup-simplify]: Simplify (+ 1 0) into 1
6.415 * [backup-simplify]: Simplify (sqrt 1) into 1
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.417 * [backup-simplify]: Simplify (+ 0 0) into 0
6.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.418 * [taylor]: Taking taylor expansion of 1 in im
6.418 * [backup-simplify]: Simplify 1 into 1
6.418 * [taylor]: Taking taylor expansion of 0 in im
6.418 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify 1 into 1
6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.420 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.420 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.421 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.421 * [taylor]: Taking taylor expansion of 1/2 in im
6.421 * [backup-simplify]: Simplify 1/2 into 1/2
6.421 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.421 * [taylor]: Taking taylor expansion of im in im
6.421 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify 1 into 1
6.421 * [backup-simplify]: Simplify (* 1 1) into 1
6.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.422 * [backup-simplify]: Simplify 0 into 0
6.422 * [backup-simplify]: Simplify 0 into 0
6.422 * [backup-simplify]: Simplify 0 into 0
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.424 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.424 * [backup-simplify]: Simplify (+ 0 0) into 0
6.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.425 * [taylor]: Taking taylor expansion of 0 in im
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.426 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
6.426 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
6.426 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.426 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.426 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.426 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.426 * [taylor]: Taking taylor expansion of -1 in im
6.426 * [backup-simplify]: Simplify -1 into -1
6.426 * [taylor]: Taking taylor expansion of re in im
6.426 * [backup-simplify]: Simplify re into re
6.426 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.426 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.426 * [taylor]: Taking taylor expansion of -1 in im
6.426 * [backup-simplify]: Simplify -1 into -1
6.427 * [taylor]: Taking taylor expansion of re in im
6.427 * [backup-simplify]: Simplify re into re
6.427 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.427 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.427 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.427 * [taylor]: Taking taylor expansion of -1 in im
6.427 * [backup-simplify]: Simplify -1 into -1
6.427 * [taylor]: Taking taylor expansion of im in im
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 1 into 1
6.427 * [backup-simplify]: Simplify (/ -1 1) into -1
6.427 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.427 * [taylor]: Taking taylor expansion of -1 in im
6.427 * [backup-simplify]: Simplify -1 into -1
6.427 * [taylor]: Taking taylor expansion of im in im
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 1 into 1
6.427 * [backup-simplify]: Simplify (/ -1 1) into -1
6.428 * [backup-simplify]: Simplify (* -1 -1) into 1
6.428 * [backup-simplify]: Simplify (+ 0 1) into 1
6.428 * [backup-simplify]: Simplify (sqrt 1) into 1
6.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.430 * [backup-simplify]: Simplify (+ 0 0) into 0
6.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.430 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.430 * [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 re
6.431 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.431 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.431 * [taylor]: Taking taylor expansion of -1 in re
6.431 * [backup-simplify]: Simplify -1 into -1
6.431 * [taylor]: Taking taylor expansion of re in re
6.431 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify 1 into 1
6.431 * [backup-simplify]: Simplify (/ -1 1) into -1
6.431 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.431 * [taylor]: Taking taylor expansion of -1 in re
6.431 * [backup-simplify]: Simplify -1 into -1
6.431 * [taylor]: Taking taylor expansion of re in re
6.431 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify 1 into 1
6.431 * [backup-simplify]: Simplify (/ -1 1) into -1
6.431 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.431 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.431 * [taylor]: Taking taylor expansion of -1 in re
6.431 * [backup-simplify]: Simplify -1 into -1
6.431 * [taylor]: Taking taylor expansion of im in re
6.431 * [backup-simplify]: Simplify im into im
6.432 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.432 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.432 * [taylor]: Taking taylor expansion of -1 in re
6.432 * [backup-simplify]: Simplify -1 into -1
6.432 * [taylor]: Taking taylor expansion of im in re
6.432 * [backup-simplify]: Simplify im into im
6.432 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.432 * [backup-simplify]: Simplify (* -1 -1) into 1
6.432 * [backup-simplify]: Simplify (+ 1 0) into 1
6.432 * [backup-simplify]: Simplify (sqrt 1) into 1
6.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.434 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.434 * [backup-simplify]: Simplify (+ 0 0) into 0
6.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.434 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.435 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.435 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.435 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.435 * [taylor]: Taking taylor expansion of -1 in re
6.435 * [backup-simplify]: Simplify -1 into -1
6.435 * [taylor]: Taking taylor expansion of re in re
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 1 into 1
6.435 * [backup-simplify]: Simplify (/ -1 1) into -1
6.435 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.435 * [taylor]: Taking taylor expansion of -1 in re
6.435 * [backup-simplify]: Simplify -1 into -1
6.435 * [taylor]: Taking taylor expansion of re in re
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 1 into 1
6.435 * [backup-simplify]: Simplify (/ -1 1) into -1
6.435 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.435 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.435 * [taylor]: Taking taylor expansion of -1 in re
6.435 * [backup-simplify]: Simplify -1 into -1
6.435 * [taylor]: Taking taylor expansion of im in re
6.435 * [backup-simplify]: Simplify im into im
6.435 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.435 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.435 * [taylor]: Taking taylor expansion of -1 in re
6.436 * [backup-simplify]: Simplify -1 into -1
6.436 * [taylor]: Taking taylor expansion of im in re
6.436 * [backup-simplify]: Simplify im into im
6.436 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.436 * [backup-simplify]: Simplify (* -1 -1) into 1
6.436 * [backup-simplify]: Simplify (+ 1 0) into 1
6.436 * [backup-simplify]: Simplify (sqrt 1) into 1
6.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.438 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.438 * [backup-simplify]: Simplify (+ 0 0) into 0
6.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.439 * [taylor]: Taking taylor expansion of 1 in im
6.439 * [backup-simplify]: Simplify 1 into 1
6.439 * [taylor]: Taking taylor expansion of 0 in im
6.439 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify 1 into 1
6.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.441 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.441 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.442 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.442 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.442 * [taylor]: Taking taylor expansion of 1/2 in im
6.442 * [backup-simplify]: Simplify 1/2 into 1/2
6.442 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.442 * [taylor]: Taking taylor expansion of im in im
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 1 into 1
6.443 * [backup-simplify]: Simplify (* 1 1) into 1
6.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.444 * [backup-simplify]: Simplify 0 into 0
6.444 * [backup-simplify]: Simplify 0 into 0
6.444 * [backup-simplify]: Simplify 0 into 0
6.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.447 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.447 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.448 * [backup-simplify]: Simplify (+ 0 0) into 0
6.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.449 * [taylor]: Taking taylor expansion of 0 in im
6.449 * [backup-simplify]: Simplify 0 into 0
6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify 0 into 0
6.451 * [backup-simplify]: Simplify 0 into 0
6.451 * [backup-simplify]: Simplify 0 into 0
6.451 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.451 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
6.451 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
6.451 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
6.451 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.451 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.451 * [taylor]: Taking taylor expansion of (* re re) in im
6.451 * [taylor]: Taking taylor expansion of re in im
6.451 * [backup-simplify]: Simplify re into re
6.451 * [taylor]: Taking taylor expansion of re in im
6.451 * [backup-simplify]: Simplify re into re
6.451 * [taylor]: Taking taylor expansion of (* im im) in im
6.452 * [taylor]: Taking taylor expansion of im in im
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 1 into 1
6.452 * [taylor]: Taking taylor expansion of im in im
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 1 into 1
6.452 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.452 * [backup-simplify]: Simplify (* 0 0) into 0
6.452 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.452 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.452 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.453 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.453 * [backup-simplify]: Simplify (+ 0 0) into 0
6.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.454 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.454 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.454 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.454 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.454 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.454 * [taylor]: Taking taylor expansion of (* re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re
6.454 * [taylor]: Taking taylor expansion of im in re
6.454 * [backup-simplify]: Simplify im into im
6.454 * [taylor]: Taking taylor expansion of im in re
6.454 * [backup-simplify]: Simplify im into im
6.455 * [backup-simplify]: Simplify (* 0 0) into 0
6.455 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.455 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.455 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.456 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.456 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.456 * [backup-simplify]: Simplify (+ 0 0) into 0
6.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.456 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.456 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.456 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.456 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.456 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.457 * [taylor]: Taking taylor expansion of (* re re) in re
6.457 * [taylor]: Taking taylor expansion of re in re
6.457 * [backup-simplify]: Simplify 0 into 0
6.457 * [backup-simplify]: Simplify 1 into 1
6.457 * [taylor]: Taking taylor expansion of re in re
6.457 * [backup-simplify]: Simplify 0 into 0
6.457 * [backup-simplify]: Simplify 1 into 1
6.457 * [taylor]: Taking taylor expansion of (* im im) in re
6.457 * [taylor]: Taking taylor expansion of im in re
6.457 * [backup-simplify]: Simplify im into im
6.457 * [taylor]: Taking taylor expansion of im in re
6.457 * [backup-simplify]: Simplify im into im
6.457 * [backup-simplify]: Simplify (* 0 0) into 0
6.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.457 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.457 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.459 * [backup-simplify]: Simplify (+ 0 0) into 0
6.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.459 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.459 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.459 * [taylor]: Taking taylor expansion of im in im
6.459 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify 1 into 1
6.459 * [backup-simplify]: Simplify (sqrt 0) into 0
6.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [taylor]: Taking taylor expansion of 0 in im
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.463 * [backup-simplify]: Simplify (+ 1 0) into 1
6.463 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.464 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.464 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
6.464 * [taylor]: Taking taylor expansion of 1/4 in im
6.464 * [backup-simplify]: Simplify 1/4 into 1/4
6.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.464 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.464 * [taylor]: Taking taylor expansion of im in im
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify 1 into 1
6.465 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (/ 1 1) into 1
6.466 * [backup-simplify]: Simplify (sqrt 0) into 0
6.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.472 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.474 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.474 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.474 * [backup-simplify]: Simplify 0 into 0
6.477 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.477 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.478 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
6.478 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
6.478 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
6.478 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.478 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.478 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.478 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.479 * [taylor]: Taking taylor expansion of re in im
6.479 * [backup-simplify]: Simplify re into re
6.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.479 * [taylor]: Taking taylor expansion of re in im
6.479 * [backup-simplify]: Simplify re into re
6.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.479 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.479 * [taylor]: Taking taylor expansion of im in im
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
6.479 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.479 * [taylor]: Taking taylor expansion of im in im
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify 1 into 1
6.480 * [backup-simplify]: Simplify (/ 1 1) into 1
6.480 * [backup-simplify]: Simplify (* 1 1) into 1
6.480 * [backup-simplify]: Simplify (+ 0 1) into 1
6.481 * [backup-simplify]: Simplify (sqrt 1) into 1
6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.483 * [backup-simplify]: Simplify (+ 0 0) into 0
6.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.484 * [backup-simplify]: Simplify (sqrt 0) into 0
6.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.485 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.485 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.486 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.486 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.486 * [taylor]: Taking taylor expansion of re in re
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 1 into 1
6.486 * [backup-simplify]: Simplify (/ 1 1) into 1
6.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.486 * [taylor]: Taking taylor expansion of re in re
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 1 into 1
6.486 * [backup-simplify]: Simplify (/ 1 1) into 1
6.487 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.487 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.487 * [taylor]: Taking taylor expansion of im in re
6.487 * [backup-simplify]: Simplify im into im
6.487 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.487 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.487 * [taylor]: Taking taylor expansion of im in re
6.487 * [backup-simplify]: Simplify im into im
6.487 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.487 * [backup-simplify]: Simplify (* 1 1) into 1
6.488 * [backup-simplify]: Simplify (+ 1 0) into 1
6.488 * [backup-simplify]: Simplify (sqrt 1) into 1
6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.491 * [backup-simplify]: Simplify (+ 0 0) into 0
6.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.492 * [backup-simplify]: Simplify (sqrt 0) into 0
6.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.493 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.493 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.493 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.494 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.494 * [taylor]: Taking taylor expansion of re in re
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.494 * [backup-simplify]: Simplify (/ 1 1) into 1
6.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.494 * [taylor]: Taking taylor expansion of re in re
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.494 * [backup-simplify]: Simplify (/ 1 1) into 1
6.495 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.495 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.495 * [taylor]: Taking taylor expansion of im in re
6.495 * [backup-simplify]: Simplify im into im
6.495 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.495 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.495 * [taylor]: Taking taylor expansion of im in re
6.495 * [backup-simplify]: Simplify im into im
6.495 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.495 * [backup-simplify]: Simplify (* 1 1) into 1
6.496 * [backup-simplify]: Simplify (+ 1 0) into 1
6.496 * [backup-simplify]: Simplify (sqrt 1) into 1
6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.498 * [backup-simplify]: Simplify (+ 0 0) into 0
6.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.499 * [backup-simplify]: Simplify (sqrt 0) into 0
6.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.501 * [taylor]: Taking taylor expansion of 0 in im
6.501 * [backup-simplify]: Simplify 0 into 0
6.501 * [taylor]: Taking taylor expansion of +nan.0 in im
6.501 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.501 * [backup-simplify]: Simplify 0 into 0
6.504 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.504 * [taylor]: Taking taylor expansion of +nan.0 in im
6.504 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.504 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.504 * [backup-simplify]: Simplify 0 into 0
6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.507 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.507 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.510 * [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))
6.510 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
6.510 * [taylor]: Taking taylor expansion of +nan.0 in im
6.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.510 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.510 * [taylor]: Taking taylor expansion of 1/2 in im
6.510 * [backup-simplify]: Simplify 1/2 into 1/2
6.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.511 * [taylor]: Taking taylor expansion of im in im
6.511 * [backup-simplify]: Simplify 0 into 0
6.511 * [backup-simplify]: Simplify 1 into 1
6.511 * [backup-simplify]: Simplify (* 1 1) into 1
6.511 * [backup-simplify]: Simplify (/ 1 1) into 1
6.511 * [taylor]: Taking taylor expansion of +nan.0 in im
6.511 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.514 * [backup-simplify]: Simplify (+ 0 0) into 0
6.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.515 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.515 * [backup-simplify]: Simplify 0 into 0
6.515 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.515 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify 0 into 0
6.517 * [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
6.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.519 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.525 * [backup-simplify]: Simplify (+ 0 0) into 0
6.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.527 * [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)))
6.527 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.527 * [taylor]: Taking taylor expansion of +nan.0 in im
6.527 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.527 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.527 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.527 * [taylor]: Taking taylor expansion of +nan.0 in im
6.527 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.527 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.527 * [taylor]: Taking taylor expansion of im in im
6.527 * [backup-simplify]: Simplify 0 into 0
6.527 * [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 (+ (* 1 0) (* 0 1)) into 0
6.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.530 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.531 * [backup-simplify]: Simplify (+ 0 0) into 0
6.531 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.531 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.532 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.535 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.536 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.539 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.539 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.540 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
6.540 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
6.540 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
6.540 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.540 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.540 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.540 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.540 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.540 * [taylor]: Taking taylor expansion of -1 in im
6.540 * [backup-simplify]: Simplify -1 into -1
6.541 * [taylor]: Taking taylor expansion of re in im
6.541 * [backup-simplify]: Simplify re into re
6.541 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.541 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.541 * [taylor]: Taking taylor expansion of -1 in im
6.541 * [backup-simplify]: Simplify -1 into -1
6.541 * [taylor]: Taking taylor expansion of re in im
6.541 * [backup-simplify]: Simplify re into re
6.541 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.541 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.541 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.541 * [taylor]: Taking taylor expansion of -1 in im
6.541 * [backup-simplify]: Simplify -1 into -1
6.541 * [taylor]: Taking taylor expansion of im in im
6.541 * [backup-simplify]: Simplify 0 into 0
6.541 * [backup-simplify]: Simplify 1 into 1
6.541 * [backup-simplify]: Simplify (/ -1 1) into -1
6.541 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.541 * [taylor]: Taking taylor expansion of -1 in im
6.541 * [backup-simplify]: Simplify -1 into -1
6.541 * [taylor]: Taking taylor expansion of im in im
6.541 * [backup-simplify]: Simplify 0 into 0
6.542 * [backup-simplify]: Simplify 1 into 1
6.542 * [backup-simplify]: Simplify (/ -1 1) into -1
6.542 * [backup-simplify]: Simplify (* -1 -1) into 1
6.543 * [backup-simplify]: Simplify (+ 0 1) into 1
6.543 * [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
6.547 * [backup-simplify]: Simplify (sqrt 0) into 0
6.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.548 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.548 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.548 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.548 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
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
6.549 * [backup-simplify]: Simplify 1 into 1
6.549 * [backup-simplify]: Simplify (/ -1 1) into -1
6.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.549 * [taylor]: Taking taylor expansion of -1 in re
6.549 * [backup-simplify]: Simplify -1 into -1
6.549 * [taylor]: Taking taylor expansion of re in re
6.549 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify 1 into 1
6.549 * [backup-simplify]: Simplify (/ -1 1) into -1
6.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.550 * [taylor]: Taking taylor expansion of -1 in re
6.550 * [backup-simplify]: Simplify -1 into -1
6.550 * [taylor]: Taking taylor expansion of im in re
6.550 * [backup-simplify]: Simplify im into im
6.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.550 * [taylor]: Taking taylor expansion of -1 in re
6.550 * [backup-simplify]: Simplify -1 into -1
6.550 * [taylor]: Taking taylor expansion of im in re
6.550 * [backup-simplify]: Simplify im into im
6.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.550 * [backup-simplify]: Simplify (* -1 -1) into 1
6.551 * [backup-simplify]: Simplify (+ 1 0) into 1
6.551 * [backup-simplify]: Simplify (sqrt 1) into 1
6.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.553 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.553 * [backup-simplify]: Simplify (+ 0 0) into 0
6.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.555 * [backup-simplify]: Simplify (sqrt 0) into 0
6.556 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.556 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.556 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.556 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.556 * [taylor]: Taking taylor expansion of -1 in re
6.556 * [backup-simplify]: Simplify -1 into -1
6.556 * [taylor]: Taking taylor expansion of re in re
6.556 * [backup-simplify]: Simplify 0 into 0
6.556 * [backup-simplify]: Simplify 1 into 1
6.557 * [backup-simplify]: Simplify (/ -1 1) into -1
6.557 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.557 * [taylor]: Taking taylor expansion of -1 in re
6.557 * [backup-simplify]: Simplify -1 into -1
6.557 * [taylor]: Taking taylor expansion of re in re
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 1 into 1
6.557 * [backup-simplify]: Simplify (/ -1 1) into -1
6.557 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.557 * [taylor]: Taking taylor expansion of -1 in re
6.558 * [backup-simplify]: Simplify -1 into -1
6.558 * [taylor]: Taking taylor expansion of im in re
6.558 * [backup-simplify]: Simplify im into im
6.558 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.558 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re
6.558 * [backup-simplify]: Simplify im into im
6.558 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.558 * [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
6.564 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.564 * [taylor]: Taking taylor expansion of 0 in im
6.564 * [backup-simplify]: Simplify 0 into 0
6.564 * [taylor]: Taking taylor expansion of +nan.0 in im
6.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.564 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.566 * [taylor]: Taking taylor expansion of +nan.0 in im
6.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.566 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.568 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.568 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.569 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.570 * [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))
6.570 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +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 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.570 * [taylor]: Taking taylor expansion of 1/2 in im
6.570 * [backup-simplify]: Simplify 1/2 into 1/2
6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.570 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.570 * [taylor]: Taking taylor expansion of im in im
6.570 * [backup-simplify]: Simplify 0 into 0
6.570 * [backup-simplify]: Simplify 1 into 1
6.570 * [backup-simplify]: Simplify (* 1 1) into 1
6.571 * [backup-simplify]: Simplify (/ 1 1) into 1
6.571 * [taylor]: Taking taylor expansion of +nan.0 in im
6.571 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.572 * [backup-simplify]: Simplify (+ 0 0) into 0
6.572 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.573 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.573 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.573 * [backup-simplify]: Simplify 0 into 0
6.573 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.573 * [backup-simplify]: Simplify 0 into 0
6.573 * [backup-simplify]: Simplify 0 into 0
6.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.575 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.575 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.575 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.575 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.575 * [backup-simplify]: Simplify (+ 0 0) into 0
6.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.577 * [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)))
6.577 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.577 * [taylor]: Taking taylor expansion of +nan.0 in im
6.577 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.577 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.577 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.577 * [taylor]: Taking taylor expansion of +nan.0 in im
6.577 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.577 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.577 * [taylor]: Taking taylor expansion of im in im
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify 1 into 1
6.577 * [backup-simplify]: Simplify (* 1 1) into 1
6.577 * [backup-simplify]: Simplify (/ 1 1) into 1
6.577 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.577 * [taylor]: Taking taylor expansion of +nan.0 in im
6.577 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.579 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.579 * [backup-simplify]: Simplify (+ 0 0) into 0
6.579 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.580 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.580 * [backup-simplify]: Simplify 0 into 0
6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.582 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.584 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.584 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.585 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
6.585 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1)
6.585 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
6.585 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
6.585 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
6.585 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.585 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.585 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.585 * [taylor]: Taking taylor expansion of (* re re) in im
6.585 * [taylor]: Taking taylor expansion of re in im
6.585 * [backup-simplify]: Simplify re into re
6.585 * [taylor]: Taking taylor expansion of re in im
6.585 * [backup-simplify]: Simplify re into re
6.585 * [taylor]: Taking taylor expansion of (* im im) in im
6.585 * [taylor]: Taking taylor expansion of im in im
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [taylor]: Taking taylor expansion of im in im
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.585 * [backup-simplify]: Simplify (* 0 0) into 0
6.585 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.586 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.586 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.586 * [backup-simplify]: Simplify (+ 0 0) into 0
6.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.586 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
6.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
6.586 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.586 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.587 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.587 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.587 * [taylor]: Taking taylor expansion of (* re re) in re
6.587 * [taylor]: Taking taylor expansion of re in re
6.587 * [backup-simplify]: Simplify 0 into 0
6.587 * [backup-simplify]: Simplify 1 into 1
6.587 * [taylor]: Taking taylor expansion of re in re
6.587 * [backup-simplify]: Simplify 0 into 0
6.587 * [backup-simplify]: Simplify 1 into 1
6.587 * [taylor]: Taking taylor expansion of (* im im) in re
6.587 * [taylor]: Taking taylor expansion of im in re
6.587 * [backup-simplify]: Simplify im into im
6.587 * [taylor]: Taking taylor expansion of im in re
6.587 * [backup-simplify]: Simplify im into im
6.587 * [backup-simplify]: Simplify (* 0 0) into 0
6.587 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.587 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.587 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.588 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.588 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.588 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.588 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.588 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
6.588 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.588 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.588 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.588 * [taylor]: Taking taylor expansion of (* re re) in re
6.588 * [taylor]: Taking taylor expansion of re in re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify 1 into 1
6.588 * [taylor]: Taking taylor expansion of re in re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify 1 into 1
6.588 * [taylor]: Taking taylor expansion of (* im im) in re
6.588 * [taylor]: Taking taylor expansion of im in re
6.588 * [backup-simplify]: Simplify im into im
6.588 * [taylor]: Taking taylor expansion of im in re
6.588 * [backup-simplify]: Simplify im into im
6.589 * [backup-simplify]: Simplify (* 0 0) into 0
6.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.589 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.589 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.589 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.590 * [backup-simplify]: Simplify (+ 0 0) into 0
6.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.590 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
6.590 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.590 * [taylor]: Taking taylor expansion of im in im
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 1 into 1
6.590 * [backup-simplify]: Simplify (sqrt 0) into 0
6.591 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [taylor]: Taking taylor expansion of 0 in im
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.592 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.592 * [backup-simplify]: Simplify (+ 1 0) into 1
6.593 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.594 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
6.594 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
6.594 * [taylor]: Taking taylor expansion of 1/4 in im
6.594 * [backup-simplify]: Simplify 1/4 into 1/4
6.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.594 * [taylor]: Taking taylor expansion of (pow im 3) in im
6.594 * [taylor]: Taking taylor expansion of im in im
6.594 * [backup-simplify]: Simplify 0 into 0
6.594 * [backup-simplify]: Simplify 1 into 1
6.595 * [backup-simplify]: Simplify (* 1 1) into 1
6.595 * [backup-simplify]: Simplify (* 1 1) into 1
6.595 * [backup-simplify]: Simplify (/ 1 1) into 1
6.596 * [backup-simplify]: Simplify (sqrt 0) into 0
6.597 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.602 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.604 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.605 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.608 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.609 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
6.609 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
6.609 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
6.609 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
6.609 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.609 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.609 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.609 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.609 * [taylor]: Taking taylor expansion of re in im
6.609 * [backup-simplify]: Simplify re into re
6.609 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.609 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.609 * [taylor]: Taking taylor expansion of re in im
6.609 * [backup-simplify]: Simplify re into re
6.609 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.610 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.610 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.610 * [taylor]: Taking taylor expansion of im in im
6.610 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify 1 into 1
6.610 * [backup-simplify]: Simplify (/ 1 1) into 1
6.610 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.610 * [taylor]: Taking taylor expansion of im in im
6.610 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify 1 into 1
6.610 * [backup-simplify]: Simplify (/ 1 1) into 1
6.611 * [backup-simplify]: Simplify (* 1 1) into 1
6.611 * [backup-simplify]: Simplify (+ 0 1) into 1
6.612 * [backup-simplify]: Simplify (sqrt 1) into 1
6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.614 * [backup-simplify]: Simplify (+ 0 0) into 0
6.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.615 * [backup-simplify]: Simplify (sqrt 0) into 0
6.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.617 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.617 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.617 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.617 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.617 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.617 * [taylor]: Taking taylor expansion of re in re
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 1 into 1
6.617 * [backup-simplify]: Simplify (/ 1 1) into 1
6.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.617 * [taylor]: Taking taylor expansion of re in re
6.618 * [backup-simplify]: Simplify 0 into 0
6.618 * [backup-simplify]: Simplify 1 into 1
6.618 * [backup-simplify]: Simplify (/ 1 1) into 1
6.618 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.618 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.618 * [taylor]: Taking taylor expansion of im in re
6.618 * [backup-simplify]: Simplify im into im
6.618 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.618 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.618 * [taylor]: Taking taylor expansion of im in re
6.618 * [backup-simplify]: Simplify im into im
6.618 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.619 * [backup-simplify]: Simplify (* 1 1) into 1
6.619 * [backup-simplify]: Simplify (+ 1 0) into 1
6.619 * [backup-simplify]: Simplify (sqrt 1) into 1
6.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.623 * [backup-simplify]: Simplify (sqrt 0) into 0
6.624 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.624 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
6.624 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.624 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.624 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.624 * [taylor]: Taking taylor expansion of re in re
6.624 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify 1 into 1
6.625 * [backup-simplify]: Simplify (/ 1 1) into 1
6.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.625 * [taylor]: Taking taylor expansion of re in re
6.625 * [backup-simplify]: Simplify 0 into 0
6.625 * [backup-simplify]: Simplify 1 into 1
6.625 * [backup-simplify]: Simplify (/ 1 1) into 1
6.625 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.625 * [taylor]: Taking taylor expansion of im in re
6.625 * [backup-simplify]: Simplify im into im
6.625 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.625 * [taylor]: Taking taylor expansion of im in re
6.625 * [backup-simplify]: Simplify im into im
6.625 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.625 * [backup-simplify]: Simplify (* 1 1) into 1
6.626 * [backup-simplify]: Simplify (+ 1 0) into 1
6.626 * [backup-simplify]: Simplify (sqrt 1) into 1
6.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.628 * [backup-simplify]: Simplify (sqrt 0) into 0
6.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.629 * [taylor]: Taking taylor expansion of 0 in im
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [taylor]: Taking taylor expansion of +nan.0 in im
6.629 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.629 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.631 * [taylor]: Taking taylor expansion of +nan.0 in im
6.631 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.631 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.632 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.633 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.633 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.635 * [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))
6.635 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
6.635 * [taylor]: Taking taylor expansion of +nan.0 in im
6.635 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.635 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.635 * [taylor]: Taking taylor expansion of 1/2 in im
6.635 * [backup-simplify]: Simplify 1/2 into 1/2
6.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.635 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.635 * [taylor]: Taking taylor expansion of im in im
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 1 into 1
6.635 * [backup-simplify]: Simplify (* 1 1) into 1
6.635 * [backup-simplify]: Simplify (/ 1 1) into 1
6.635 * [taylor]: Taking taylor expansion of +nan.0 in im
6.635 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.637 * [backup-simplify]: Simplify (+ 0 0) into 0
6.637 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.637 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.638 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.643 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.645 * [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)))
6.645 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.645 * [taylor]: Taking taylor expansion of +nan.0 in im
6.645 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.645 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.645 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.645 * [taylor]: Taking taylor expansion of +nan.0 in im
6.645 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.645 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.645 * [taylor]: Taking taylor expansion of im in im
6.645 * [backup-simplify]: Simplify 0 into 0
6.645 * [backup-simplify]: Simplify 1 into 1
6.645 * [backup-simplify]: Simplify (* 1 1) into 1
6.646 * [backup-simplify]: Simplify (/ 1 1) into 1
6.646 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.646 * [taylor]: Taking taylor expansion of +nan.0 in im
6.646 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.647 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.647 * [backup-simplify]: Simplify (+ 0 0) into 0
6.648 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.648 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.649 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.649 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.651 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.651 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.653 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.653 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.654 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
6.654 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
6.654 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
6.654 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
6.654 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.654 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.654 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.654 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.654 * [taylor]: Taking taylor expansion of -1 in im
6.654 * [backup-simplify]: Simplify -1 into -1
6.654 * [taylor]: Taking taylor expansion of re in im
6.654 * [backup-simplify]: Simplify re into re
6.654 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.654 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.654 * [taylor]: Taking taylor expansion of -1 in im
6.654 * [backup-simplify]: Simplify -1 into -1
6.654 * [taylor]: Taking taylor expansion of re in im
6.654 * [backup-simplify]: Simplify re into re
6.654 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.654 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.654 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.654 * [taylor]: Taking taylor expansion of -1 in im
6.654 * [backup-simplify]: Simplify -1 into -1
6.654 * [taylor]: Taking taylor expansion of im in im
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 1 into 1
6.655 * [backup-simplify]: Simplify (/ -1 1) into -1
6.655 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.655 * [taylor]: Taking taylor expansion of -1 in im
6.655 * [backup-simplify]: Simplify -1 into -1
6.655 * [taylor]: Taking taylor expansion of im in im
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify 1 into 1
6.655 * [backup-simplify]: Simplify (/ -1 1) into -1
6.655 * [backup-simplify]: Simplify (* -1 -1) into 1
6.655 * [backup-simplify]: Simplify (+ 0 1) into 1
6.656 * [backup-simplify]: Simplify (sqrt 1) into 1
6.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.657 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.657 * [backup-simplify]: Simplify (+ 0 0) into 0
6.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.658 * [backup-simplify]: Simplify (sqrt 0) into 0
6.659 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.659 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.659 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.659 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.659 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.659 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.659 * [taylor]: Taking taylor expansion of -1 in re
6.659 * [backup-simplify]: Simplify -1 into -1
6.659 * [taylor]: Taking taylor expansion of re in re
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 1 into 1
6.659 * [backup-simplify]: Simplify (/ -1 1) into -1
6.659 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.659 * [taylor]: Taking taylor expansion of -1 in re
6.659 * [backup-simplify]: Simplify -1 into -1
6.659 * [taylor]: Taking taylor expansion of re in re
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 1 into 1
6.660 * [backup-simplify]: Simplify (/ -1 1) into -1
6.660 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.660 * [taylor]: Taking taylor expansion of -1 in re
6.660 * [backup-simplify]: Simplify -1 into -1
6.660 * [taylor]: Taking taylor expansion of im in re
6.660 * [backup-simplify]: Simplify im into im
6.660 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.660 * [taylor]: Taking taylor expansion of -1 in re
6.660 * [backup-simplify]: Simplify -1 into -1
6.660 * [taylor]: Taking taylor expansion of im in re
6.660 * [backup-simplify]: Simplify im into im
6.660 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.661 * [backup-simplify]: Simplify (* -1 -1) into 1
6.661 * [backup-simplify]: Simplify (+ 1 0) into 1
6.661 * [backup-simplify]: Simplify (sqrt 1) into 1
6.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.664 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.664 * [backup-simplify]: Simplify (+ 0 0) into 0
6.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.665 * [backup-simplify]: Simplify (sqrt 0) into 0
6.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.667 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
6.667 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.667 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.667 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.667 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.667 * [taylor]: Taking taylor expansion of -1 in re
6.667 * [backup-simplify]: Simplify -1 into -1
6.667 * [taylor]: Taking taylor expansion of re in re
6.667 * [backup-simplify]: Simplify 0 into 0
6.667 * [backup-simplify]: Simplify 1 into 1
6.667 * [backup-simplify]: Simplify (/ -1 1) into -1
6.667 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.667 * [taylor]: Taking taylor expansion of -1 in re
6.667 * [backup-simplify]: Simplify -1 into -1
6.667 * [taylor]: Taking taylor expansion of re in re
6.667 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify 1 into 1
6.668 * [backup-simplify]: Simplify (/ -1 1) into -1
6.668 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.668 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.668 * [taylor]: Taking taylor expansion of -1 in re
6.668 * [backup-simplify]: Simplify -1 into -1
6.668 * [taylor]: Taking taylor expansion of im in re
6.668 * [backup-simplify]: Simplify im into im
6.668 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.668 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.668 * [taylor]: Taking taylor expansion of -1 in re
6.668 * [backup-simplify]: Simplify -1 into -1
6.668 * [taylor]: Taking taylor expansion of im in re
6.668 * [backup-simplify]: Simplify im into im
6.668 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.669 * [backup-simplify]: Simplify (* -1 -1) into 1
6.669 * [backup-simplify]: Simplify (+ 1 0) into 1
6.669 * [backup-simplify]: Simplify (sqrt 1) into 1
6.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.672 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.672 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.673 * [backup-simplify]: Simplify (sqrt 0) into 0
6.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.674 * [taylor]: Taking taylor expansion of 0 in im
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [taylor]: Taking taylor expansion of +nan.0 in im
6.675 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.675 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.677 * [taylor]: Taking taylor expansion of +nan.0 in im
6.678 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.678 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.678 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.681 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.682 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.684 * [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))
6.684 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
6.684 * [taylor]: Taking taylor expansion of +nan.0 in im
6.684 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.684 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
6.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.684 * [taylor]: Taking taylor expansion of 1/2 in im
6.684 * [backup-simplify]: Simplify 1/2 into 1/2
6.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.684 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.684 * [taylor]: Taking taylor expansion of im in im
6.684 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify 1 into 1
6.684 * [backup-simplify]: Simplify (* 1 1) into 1
6.685 * [backup-simplify]: Simplify (/ 1 1) into 1
6.685 * [taylor]: Taking taylor expansion of +nan.0 in im
6.685 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.686 * [backup-simplify]: Simplify (+ 0 0) into 0
6.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.687 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.687 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.687 * [backup-simplify]: Simplify 0 into 0
6.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.687 * [backup-simplify]: Simplify 0 into 0
6.687 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.689 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.689 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.689 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.689 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.690 * [backup-simplify]: Simplify (+ 0 0) into 0
6.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.691 * [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)))
6.691 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
6.691 * [taylor]: Taking taylor expansion of +nan.0 in im
6.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.691 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
6.691 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
6.691 * [taylor]: Taking taylor expansion of +nan.0 in im
6.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.691 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.691 * [taylor]: Taking taylor expansion of im in im
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 1 into 1
6.691 * [backup-simplify]: Simplify (* 1 1) into 1
6.692 * [backup-simplify]: Simplify (/ 1 1) into 1
6.692 * [taylor]: Taking taylor expansion of (- +nan.0) in im
6.692 * [taylor]: Taking taylor expansion of +nan.0 in im
6.692 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.693 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.693 * [backup-simplify]: Simplify (+ 0 0) into 0
6.693 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.694 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.694 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.694 * [backup-simplify]: Simplify 0 into 0
6.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.696 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.697 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.698 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
6.698 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.699 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
6.699 * * * [progress]: simplifying candidates
6.700 * [simplify]: Simplifying:
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (- re)
  (/ (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re))
  (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))
  (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))
  (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3))
  (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))
  (- re)
  (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re))
  (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt 1)
  (sqrt (hypot re im))
  (/ 1 2)
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt 1)
  (sqrt (hypot re im))
  (/ 1 2)
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
6.702 * * [simplify]: iteration 0: 124 enodes
6.729 * * [simplify]: iteration 1: 290 enodes
6.857 * * [simplify]: iteration 2: 1140 enodes
7.509 * * [simplify]: iteration complete: 5000 enodes
7.509 * * [simplify]: Extracting #0: cost 52 inf + 0
7.511 * * [simplify]: Extracting #1: cost 705 inf + 6
7.515 * * [simplify]: Extracting #2: cost 1372 inf + 557
7.521 * * [simplify]: Extracting #3: cost 847 inf + 3972
7.531 * * [simplify]: Extracting #4: cost 167 inf + 10832
7.540 * * [simplify]: Extracting #5: cost 4 inf + 12767
7.550 * * [simplify]: Extracting #6: cost 0 inf + 12787
7.560 * [simplify]: Simplified to:
  (- (hypot re im) re)
  (+ re (- re))
  (- (hypot re im) re)
  (+ re (- re))
  (- (hypot re im) re)
  (+ re (- re))
  (expm1 (- (hypot re im) re))
  (log1p (- (hypot re im) re))
  (- re)
  (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))
  (pow (- (hypot re im) re) 3)
  (sqrt (- (hypot re im) re))
  (sqrt (- (hypot re im) re))
  (- (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (+ re (hypot re im))))
  (- re)
  (fma (hypot re im) (hypot re im) (* re (- re)))
  (+ (hypot re im) re)
  (+ (sqrt (hypot re im)) (sqrt re))
  (- (sqrt (hypot re im)) (sqrt re))
  (- re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) (+ 3 1))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (* (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (cbrt (sqrt (hypot re im))))
  (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) (+ 3 1))
  (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (pow (sqrt (hypot re im)) 3)
  (fabs (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  1
  (sqrt (hypot re im))
  1/2
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (pow (sqrt (hypot re im)) 3)
  (fabs (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  1
  (sqrt (hypot re im))
  1/2
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (- im re)
  0
  (* re -2)
  im
  re
  (- re)
  (- (* +nan.0 (- (pow im 2) (fma re re (- im)))))
  (fma (/ -1 re) +nan.0 (- (/ +nan.0 (pow re 2)) +nan.0))
  (fma (/ -1 re) +nan.0 (- (/ +nan.0 (pow re 2)) +nan.0))
  (- (* +nan.0 (- (pow im 2) (fma re re (- im)))))
  (fma (/ -1 re) +nan.0 (- (/ +nan.0 (pow re 2)) +nan.0))
  (fma (/ -1 re) +nan.0 (- (/ +nan.0 (pow re 2)) +nan.0))
7.561 * * * [progress]: adding candidates to table
7.982 * * [progress]: iteration 4 / 4
7.982 * * * [progress]: picking best candidate
8.016 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) 2.0))))>
8.016 * * * [progress]: localizing error
8.047 * * * [progress]: generating rewritten candidates
8.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
8.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2)
8.091 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
8.144 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1)
8.158 * * * [progress]: generating series expansions
8.158 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
8.159 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) into (- (hypot re im) re)
8.159 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
8.159 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im
8.159 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.159 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.159 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.159 * [taylor]: Taking taylor expansion of (* re re) in im
8.159 * [taylor]: Taking taylor expansion of re in im
8.159 * [backup-simplify]: Simplify re into re
8.159 * [taylor]: Taking taylor expansion of re in im
8.159 * [backup-simplify]: Simplify re into re
8.159 * [taylor]: Taking taylor expansion of (* im im) in im
8.159 * [taylor]: Taking taylor expansion of im in im
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.159 * [taylor]: Taking taylor expansion of im in im
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.159 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.160 * [backup-simplify]: Simplify (* 0 0) into 0
8.160 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.160 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.161 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.162 * [backup-simplify]: Simplify (+ 0 0) into 0
8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.162 * [taylor]: Taking taylor expansion of re in im
8.162 * [backup-simplify]: Simplify re into re
8.162 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
8.162 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.162 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.162 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.162 * [taylor]: Taking taylor expansion of (* re re) in re
8.162 * [taylor]: Taking taylor expansion of re in re
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [taylor]: Taking taylor expansion of re in re
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [taylor]: Taking taylor expansion of (* im im) in re
8.162 * [taylor]: Taking taylor expansion of im in re
8.162 * [backup-simplify]: Simplify im into im
8.162 * [taylor]: Taking taylor expansion of im in re
8.162 * [backup-simplify]: Simplify im into im
8.163 * [backup-simplify]: Simplify (* 0 0) into 0
8.163 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.163 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.163 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.164 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.164 * [backup-simplify]: Simplify (+ 0 0) into 0
8.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.165 * [taylor]: Taking taylor expansion of re in re
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re
8.165 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.165 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.165 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.165 * [taylor]: Taking taylor expansion of (* re re) in re
8.165 * [taylor]: Taking taylor expansion of re in re
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * [taylor]: Taking taylor expansion of re in re
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * [taylor]: Taking taylor expansion of (* im im) in re
8.165 * [taylor]: Taking taylor expansion of im in re
8.165 * [backup-simplify]: Simplify im into im
8.165 * [taylor]: Taking taylor expansion of im in re
8.165 * [backup-simplify]: Simplify im into im
8.166 * [backup-simplify]: Simplify (* 0 0) into 0
8.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.167 * [backup-simplify]: Simplify (+ 0 0) into 0
8.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.167 * [taylor]: Taking taylor expansion of re in re
8.167 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify 1 into 1
8.168 * [backup-simplify]: Simplify (- 0) into 0
8.168 * [backup-simplify]: Simplify (+ im 0) into im
8.168 * [taylor]: Taking taylor expansion of im in im
8.168 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify 1 into 1
8.168 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify (- 1) into -1
8.169 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.169 * [taylor]: Taking taylor expansion of -1 in im
8.169 * [backup-simplify]: Simplify -1 into -1
8.169 * [backup-simplify]: Simplify -1 into -1
8.169 * [backup-simplify]: Simplify 1 into 1
8.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.171 * [backup-simplify]: Simplify (+ 1 0) into 1
8.172 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.172 * [backup-simplify]: Simplify (- 0) into 0
8.172 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.172 * [taylor]: Taking taylor expansion of 1/2 in im
8.172 * [backup-simplify]: Simplify 1/2 into 1/2
8.172 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.172 * [taylor]: Taking taylor expansion of im in im
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [backup-simplify]: Simplify 1 into 1
8.173 * [backup-simplify]: Simplify (/ 1 1) into 1
8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.177 * [backup-simplify]: Simplify (+ 0 0) into 0
8.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.177 * [backup-simplify]: Simplify (- 0) into 0
8.178 * [backup-simplify]: Simplify (+ 0 0) into 0
8.178 * [taylor]: Taking taylor expansion of 0 in im
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify 0 into 0
8.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.180 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.180 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
8.180 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
8.180 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
8.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.181 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.181 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.181 * [taylor]: Taking taylor expansion of re in im
8.181 * [backup-simplify]: Simplify re into re
8.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.181 * [taylor]: Taking taylor expansion of re in im
8.181 * [backup-simplify]: Simplify re into re
8.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.181 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.181 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.181 * [taylor]: Taking taylor expansion of im in im
8.181 * [backup-simplify]: Simplify 0 into 0
8.181 * [backup-simplify]: Simplify 1 into 1
8.181 * [backup-simplify]: Simplify (/ 1 1) into 1
8.181 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.181 * [taylor]: Taking taylor expansion of im in im
8.181 * [backup-simplify]: Simplify 0 into 0
8.181 * [backup-simplify]: Simplify 1 into 1
8.181 * [backup-simplify]: Simplify (/ 1 1) into 1
8.182 * [backup-simplify]: Simplify (* 1 1) into 1
8.182 * [backup-simplify]: Simplify (+ 0 1) into 1
8.182 * [backup-simplify]: Simplify (sqrt 1) into 1
8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.184 * [backup-simplify]: Simplify (+ 0 0) into 0
8.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.184 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.184 * [taylor]: Taking taylor expansion of re in im
8.184 * [backup-simplify]: Simplify re into re
8.184 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.184 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
8.184 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.184 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.184 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.184 * [taylor]: Taking taylor expansion of re in re
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (/ 1 1) into 1
8.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.185 * [taylor]: Taking taylor expansion of re in re
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (/ 1 1) into 1
8.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.185 * [taylor]: Taking taylor expansion of im in re
8.185 * [backup-simplify]: Simplify im into im
8.185 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.185 * [taylor]: Taking taylor expansion of im in re
8.185 * [backup-simplify]: Simplify im into im
8.185 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.185 * [backup-simplify]: Simplify (* 1 1) into 1
8.186 * [backup-simplify]: Simplify (+ 1 0) into 1
8.186 * [backup-simplify]: Simplify (sqrt 1) into 1
8.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.187 * [backup-simplify]: Simplify (+ 0 0) into 0
8.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.188 * [taylor]: Taking taylor expansion of re in re
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 1 into 1
8.188 * [backup-simplify]: Simplify (/ 1 1) into 1
8.188 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
8.188 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.188 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.188 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.188 * [taylor]: Taking taylor expansion of re in re
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (/ 1 1) into 1
8.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.189 * [taylor]: Taking taylor expansion of re in re
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (/ 1 1) into 1
8.189 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.189 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.189 * [taylor]: Taking taylor expansion of im in re
8.189 * [backup-simplify]: Simplify im into im
8.189 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.189 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.189 * [taylor]: Taking taylor expansion of im in re
8.189 * [backup-simplify]: Simplify im into im
8.189 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.189 * [backup-simplify]: Simplify (* 1 1) into 1
8.190 * [backup-simplify]: Simplify (+ 1 0) into 1
8.190 * [backup-simplify]: Simplify (sqrt 1) into 1
8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.192 * [backup-simplify]: Simplify (+ 0 0) into 0
8.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.192 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.192 * [taylor]: Taking taylor expansion of re in re
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.192 * [backup-simplify]: Simplify (/ 1 1) into 1
8.193 * [backup-simplify]: Simplify (- 1) into -1
8.193 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.193 * [taylor]: Taking taylor expansion of 0 in im
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.194 * [backup-simplify]: Simplify (- 0) into 0
8.194 * [backup-simplify]: Simplify (+ 0 0) into 0
8.194 * [taylor]: Taking taylor expansion of 0 in im
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.196 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.196 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.197 * [backup-simplify]: Simplify (- 0) into 0
8.197 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.198 * [taylor]: Taking taylor expansion of 1/2 in im
8.198 * [backup-simplify]: Simplify 1/2 into 1/2
8.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.198 * [taylor]: Taking taylor expansion of im in im
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 1 into 1
8.198 * [backup-simplify]: Simplify (* 1 1) into 1
8.198 * [backup-simplify]: Simplify (/ 1 1) into 1
8.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.202 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.202 * [backup-simplify]: Simplify (+ 0 0) into 0
8.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (- 0) into 0
8.203 * [backup-simplify]: Simplify (+ 0 0) into 0
8.203 * [taylor]: Taking taylor expansion of 0 in im
8.203 * [backup-simplify]: Simplify 0 into 0
8.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3)) (/ 1 (- re))) into (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
8.206 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
8.206 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
8.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.206 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.206 * [taylor]: Taking taylor expansion of -1 in im
8.206 * [backup-simplify]: Simplify -1 into -1
8.206 * [taylor]: Taking taylor expansion of re in im
8.206 * [backup-simplify]: Simplify re into re
8.206 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.206 * [taylor]: Taking taylor expansion of -1 in im
8.206 * [backup-simplify]: Simplify -1 into -1
8.206 * [taylor]: Taking taylor expansion of re in im
8.206 * [backup-simplify]: Simplify re into re
8.206 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.206 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.206 * [taylor]: Taking taylor expansion of -1 in im
8.206 * [backup-simplify]: Simplify -1 into -1
8.206 * [taylor]: Taking taylor expansion of im in im
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.206 * [backup-simplify]: Simplify (/ -1 1) into -1
8.206 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.206 * [taylor]: Taking taylor expansion of -1 in im
8.206 * [backup-simplify]: Simplify -1 into -1
8.206 * [taylor]: Taking taylor expansion of im in im
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.207 * [backup-simplify]: Simplify (/ -1 1) into -1
8.207 * [backup-simplify]: Simplify (* -1 -1) into 1
8.207 * [backup-simplify]: Simplify (+ 0 1) into 1
8.208 * [backup-simplify]: Simplify (sqrt 1) into 1
8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.217 * [taylor]: Taking taylor expansion of re in im
8.217 * [backup-simplify]: Simplify re into re
8.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.217 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.218 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.218 * [taylor]: Taking taylor expansion of -1 in re
8.218 * [backup-simplify]: Simplify -1 into -1
8.218 * [taylor]: Taking taylor expansion of re in re
8.218 * [backup-simplify]: Simplify 0 into 0
8.218 * [backup-simplify]: Simplify 1 into 1
8.218 * [backup-simplify]: Simplify (/ -1 1) into -1
8.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.218 * [taylor]: Taking taylor expansion of -1 in re
8.218 * [backup-simplify]: Simplify -1 into -1
8.218 * [taylor]: Taking taylor expansion of re in re
8.218 * [backup-simplify]: Simplify 0 into 0
8.218 * [backup-simplify]: Simplify 1 into 1
8.219 * [backup-simplify]: Simplify (/ -1 1) into -1
8.219 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.219 * [taylor]: Taking taylor expansion of -1 in re
8.219 * [backup-simplify]: Simplify -1 into -1
8.219 * [taylor]: Taking taylor expansion of im in re
8.219 * [backup-simplify]: Simplify im into im
8.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.219 * [taylor]: Taking taylor expansion of -1 in re
8.219 * [backup-simplify]: Simplify -1 into -1
8.219 * [taylor]: Taking taylor expansion of im in re
8.219 * [backup-simplify]: Simplify im into im
8.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.220 * [backup-simplify]: Simplify (* -1 -1) into 1
8.220 * [backup-simplify]: Simplify (+ 1 0) into 1
8.221 * [backup-simplify]: Simplify (sqrt 1) into 1
8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.223 * [backup-simplify]: Simplify (+ 0 0) into 0
8.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.225 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.225 * [taylor]: Taking taylor expansion of re in re
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.225 * [backup-simplify]: Simplify (/ 1 1) into 1
8.225 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.225 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.225 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.225 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.225 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.225 * [taylor]: Taking taylor expansion of -1 in re
8.225 * [backup-simplify]: Simplify -1 into -1
8.226 * [taylor]: Taking taylor expansion of re in re
8.226 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify 1 into 1
8.226 * [backup-simplify]: Simplify (/ -1 1) into -1
8.226 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.226 * [taylor]: Taking taylor expansion of -1 in re
8.226 * [backup-simplify]: Simplify -1 into -1
8.226 * [taylor]: Taking taylor expansion of re in re
8.226 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify 1 into 1
8.227 * [backup-simplify]: Simplify (/ -1 1) into -1
8.227 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.227 * [taylor]: Taking taylor expansion of -1 in re
8.227 * [backup-simplify]: Simplify -1 into -1
8.227 * [taylor]: Taking taylor expansion of im in re
8.227 * [backup-simplify]: Simplify im into im
8.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.227 * [taylor]: Taking taylor expansion of -1 in re
8.227 * [backup-simplify]: Simplify -1 into -1
8.227 * [taylor]: Taking taylor expansion of im in re
8.227 * [backup-simplify]: Simplify im into im
8.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.228 * [backup-simplify]: Simplify (* -1 -1) into 1
8.228 * [backup-simplify]: Simplify (+ 1 0) into 1
8.229 * [backup-simplify]: Simplify (sqrt 1) into 1
8.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.231 * [backup-simplify]: Simplify (+ 0 0) into 0
8.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.232 * [taylor]: Taking taylor expansion of re in re
8.232 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify 1 into 1
8.233 * [backup-simplify]: Simplify (/ 1 1) into 1
8.233 * [backup-simplify]: Simplify (+ 1 1) into 2
8.233 * [taylor]: Taking taylor expansion of 2 in im
8.233 * [backup-simplify]: Simplify 2 into 2
8.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.234 * [backup-simplify]: Simplify (+ 0 0) into 0
8.235 * [taylor]: Taking taylor expansion of 0 in im
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 2 into 2
8.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.238 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.238 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.238 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.239 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.241 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.241 * [taylor]: Taking taylor expansion of 1/2 in im
8.241 * [backup-simplify]: Simplify 1/2 into 1/2
8.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.241 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.241 * [taylor]: Taking taylor expansion of im in im
8.241 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify 1 into 1
8.241 * [backup-simplify]: Simplify (* 1 1) into 1
8.242 * [backup-simplify]: Simplify (/ 1 1) into 1
8.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.246 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.246 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.246 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.246 * [backup-simplify]: Simplify (+ 0 0) into 0
8.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.248 * [backup-simplify]: Simplify (+ 0 0) into 0
8.248 * [taylor]: Taking taylor expansion of 0 in im
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2)
8.250 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot re im))) 3) into (pow (pow (hypot re im) 1/4) 3)
8.250 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0
8.250 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im
8.250 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
8.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
8.250 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
8.250 * [taylor]: Taking taylor expansion of 1/4 in im
8.250 * [backup-simplify]: Simplify 1/4 into 1/4
8.250 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
8.250 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.250 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.250 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.250 * [taylor]: Taking taylor expansion of (* re re) in im
8.250 * [taylor]: Taking taylor expansion of re in im
8.250 * [backup-simplify]: Simplify re into re
8.250 * [taylor]: Taking taylor expansion of re in im
8.250 * [backup-simplify]: Simplify re into re
8.250 * [taylor]: Taking taylor expansion of (* im im) in im
8.250 * [taylor]: Taking taylor expansion of im in im
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 1 into 1
8.250 * [taylor]: Taking taylor expansion of im in im
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 1 into 1
8.250 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.251 * [backup-simplify]: Simplify (* 0 0) into 0
8.251 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.251 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.251 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.251 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.252 * [backup-simplify]: Simplify (+ 0 0) into 0
8.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.252 * [backup-simplify]: Simplify (log re) into (log re)
8.252 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
8.252 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
8.252 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
8.252 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
8.252 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
8.252 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
8.252 * [taylor]: Taking taylor expansion of 1/4 in re
8.252 * [backup-simplify]: Simplify 1/4 into 1/4
8.252 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.252 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.252 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.252 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.252 * [taylor]: Taking taylor expansion of (* re re) in re
8.252 * [taylor]: Taking taylor expansion of re in re
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [taylor]: Taking taylor expansion of re in re
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [taylor]: Taking taylor expansion of (* im im) in re
8.252 * [taylor]: Taking taylor expansion of im in re
8.252 * [backup-simplify]: Simplify im into im
8.252 * [taylor]: Taking taylor expansion of im in re
8.252 * [backup-simplify]: Simplify im into im
8.253 * [backup-simplify]: Simplify (* 0 0) into 0
8.253 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.253 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.253 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.253 * [backup-simplify]: Simplify (+ 0 0) into 0
8.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.254 * [backup-simplify]: Simplify (log im) into (log im)
8.254 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
8.254 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
8.254 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re
8.254 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
8.254 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
8.254 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
8.254 * [taylor]: Taking taylor expansion of 1/4 in re
8.254 * [backup-simplify]: Simplify 1/4 into 1/4
8.254 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.254 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.254 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.254 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.254 * [taylor]: Taking taylor expansion of (* re re) in re
8.254 * [taylor]: Taking taylor expansion of re in re
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify 1 into 1
8.254 * [taylor]: Taking taylor expansion of re in re
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify 1 into 1
8.254 * [taylor]: Taking taylor expansion of (* im im) in re
8.254 * [taylor]: Taking taylor expansion of im in re
8.254 * [backup-simplify]: Simplify im into im
8.254 * [taylor]: Taking taylor expansion of im in re
8.254 * [backup-simplify]: Simplify im into im
8.254 * [backup-simplify]: Simplify (* 0 0) into 0
8.254 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.255 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.255 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.255 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.255 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.255 * [backup-simplify]: Simplify (+ 0 0) into 0
8.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.255 * [backup-simplify]: Simplify (log im) into (log im)
8.255 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
8.256 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
8.256 * [backup-simplify]: Simplify (* (pow im 1/4) (pow im 1/4)) into (sqrt im)
8.256 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt im)) into (pow (pow im 3) 1/4)
8.256 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
8.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
8.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
8.256 * [taylor]: Taking taylor expansion of 1/4 in im
8.256 * [backup-simplify]: Simplify 1/4 into 1/4
8.256 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
8.256 * [taylor]: Taking taylor expansion of (pow im 3) in im
8.256 * [taylor]: Taking taylor expansion of im in im
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 1 into 1
8.256 * [backup-simplify]: Simplify (* 1 1) into 1
8.256 * [backup-simplify]: Simplify (* 1 1) into 1
8.257 * [backup-simplify]: Simplify (log 1) into 0
8.257 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.257 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
8.257 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
8.257 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
8.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
8.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
8.259 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.259 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (pow im 1/4))) into 0
8.259 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (sqrt im))) into 0
8.259 * [taylor]: Taking taylor expansion of 0 in im
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.261 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
8.262 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.263 * [backup-simplify]: Simplify (+ 1 0) into 1
8.263 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
8.264 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
8.265 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
8.266 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.266 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
8.266 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
8.266 * [taylor]: Taking taylor expansion of 3/8 in im
8.266 * [backup-simplify]: Simplify 3/8 into 3/8
8.266 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
8.266 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
8.266 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
8.266 * [taylor]: Taking taylor expansion of 1/4 in im
8.266 * [backup-simplify]: Simplify 1/4 into 1/4
8.266 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
8.266 * [taylor]: Taking taylor expansion of (pow im 5) in im
8.266 * [taylor]: Taking taylor expansion of im in im
8.266 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [backup-simplify]: Simplify (* 1 1) into 1
8.267 * [backup-simplify]: Simplify (* 1 1) into 1
8.267 * [backup-simplify]: Simplify (* 1 1) into 1
8.267 * [backup-simplify]: Simplify (/ 1 1) into 1
8.268 * [backup-simplify]: Simplify (log 1) into 0
8.268 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.268 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
8.268 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
8.268 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
8.268 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
8.268 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.271 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
8.273 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.273 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.274 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.277 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
8.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
8.280 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.281 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow im 1/4))))) into 0
8.282 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
8.282 * [taylor]: Taking taylor expansion of 0 in im
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.287 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
8.288 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.289 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.296 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.297 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
8.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
8.300 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.300 * [backup-simplify]: Simplify 0 into 0
8.301 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
8.301 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3)
8.301 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0
8.301 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im
8.301 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
8.301 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
8.301 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
8.301 * [taylor]: Taking taylor expansion of 1/4 in im
8.301 * [backup-simplify]: Simplify 1/4 into 1/4
8.301 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
8.302 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.302 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.302 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.302 * [taylor]: Taking taylor expansion of re in im
8.302 * [backup-simplify]: Simplify re into re
8.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.302 * [taylor]: Taking taylor expansion of re in im
8.302 * [backup-simplify]: Simplify re into re
8.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.302 * [taylor]: Taking taylor expansion of im in im
8.302 * [backup-simplify]: Simplify 0 into 0
8.302 * [backup-simplify]: Simplify 1 into 1
8.303 * [backup-simplify]: Simplify (/ 1 1) into 1
8.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.303 * [taylor]: Taking taylor expansion of im in im
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 1 into 1
8.303 * [backup-simplify]: Simplify (/ 1 1) into 1
8.304 * [backup-simplify]: Simplify (* 1 1) into 1
8.304 * [backup-simplify]: Simplify (+ 0 1) into 1
8.305 * [backup-simplify]: Simplify (sqrt 1) into 1
8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.307 * [backup-simplify]: Simplify (+ 0 0) into 0
8.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.308 * [backup-simplify]: Simplify (log 1) into 0
8.308 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.308 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
8.308 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
8.309 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
8.309 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
8.309 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.309 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.309 * [taylor]: Taking taylor expansion of 1/4 in re
8.309 * [backup-simplify]: Simplify 1/4 into 1/4
8.309 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.309 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.309 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.309 * [taylor]: Taking taylor expansion of re in re
8.309 * [backup-simplify]: Simplify 0 into 0
8.309 * [backup-simplify]: Simplify 1 into 1
8.309 * [backup-simplify]: Simplify (/ 1 1) into 1
8.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.310 * [taylor]: Taking taylor expansion of re in re
8.310 * [backup-simplify]: Simplify 0 into 0
8.310 * [backup-simplify]: Simplify 1 into 1
8.310 * [backup-simplify]: Simplify (/ 1 1) into 1
8.310 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.310 * [taylor]: Taking taylor expansion of im in re
8.310 * [backup-simplify]: Simplify im into im
8.310 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.310 * [taylor]: Taking taylor expansion of im in re
8.310 * [backup-simplify]: Simplify im into im
8.310 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.311 * [backup-simplify]: Simplify (* 1 1) into 1
8.311 * [backup-simplify]: Simplify (+ 1 0) into 1
8.311 * [backup-simplify]: Simplify (sqrt 1) into 1
8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.313 * [backup-simplify]: Simplify (+ 0 0) into 0
8.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.314 * [backup-simplify]: Simplify (log 1) into 0
8.314 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.314 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.314 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.314 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re
8.314 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
8.314 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.314 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.314 * [taylor]: Taking taylor expansion of 1/4 in re
8.314 * [backup-simplify]: Simplify 1/4 into 1/4
8.314 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.314 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.314 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.314 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.314 * [taylor]: Taking taylor expansion of re in re
8.314 * [backup-simplify]: Simplify 0 into 0
8.314 * [backup-simplify]: Simplify 1 into 1
8.315 * [backup-simplify]: Simplify (/ 1 1) into 1
8.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.315 * [taylor]: Taking taylor expansion of re in re
8.315 * [backup-simplify]: Simplify 0 into 0
8.315 * [backup-simplify]: Simplify 1 into 1
8.315 * [backup-simplify]: Simplify (/ 1 1) into 1
8.315 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.315 * [taylor]: Taking taylor expansion of im in re
8.315 * [backup-simplify]: Simplify im into im
8.315 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.315 * [taylor]: Taking taylor expansion of im in re
8.315 * [backup-simplify]: Simplify im into im
8.315 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.315 * [backup-simplify]: Simplify (* 1 1) into 1
8.316 * [backup-simplify]: Simplify (+ 1 0) into 1
8.316 * [backup-simplify]: Simplify (sqrt 1) into 1
8.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.317 * [backup-simplify]: Simplify (+ 0 0) into 0
8.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.318 * [backup-simplify]: Simplify (log 1) into 0
8.318 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.318 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.319 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.319 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
8.319 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
8.319 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
8.319 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
8.319 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
8.319 * [taylor]: Taking taylor expansion of 1/4 in im
8.319 * [backup-simplify]: Simplify 1/4 into 1/4
8.319 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
8.319 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
8.319 * [taylor]: Taking taylor expansion of (pow re 3) in im
8.319 * [taylor]: Taking taylor expansion of re in im
8.319 * [backup-simplify]: Simplify re into re
8.319 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.319 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
8.319 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
8.319 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
8.319 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
8.320 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
8.320 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
8.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.321 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.321 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
8.322 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.322 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
8.322 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
8.322 * [taylor]: Taking taylor expansion of 0 in im
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.322 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
8.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
8.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
8.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
8.324 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.324 * [backup-simplify]: Simplify 0 into 0
8.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.326 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
8.328 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.328 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
8.329 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
8.330 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
8.331 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
8.331 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
8.331 * [taylor]: Taking taylor expansion of 3/8 in im
8.331 * [backup-simplify]: Simplify 3/8 into 3/8
8.331 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
8.331 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
8.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
8.331 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
8.331 * [taylor]: Taking taylor expansion of 1/4 in im
8.331 * [backup-simplify]: Simplify 1/4 into 1/4
8.331 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
8.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
8.331 * [taylor]: Taking taylor expansion of (pow re 3) in im
8.331 * [taylor]: Taking taylor expansion of re in im
8.331 * [backup-simplify]: Simplify re into re
8.331 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.331 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
8.331 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
8.331 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
8.331 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
8.332 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.332 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.332 * [taylor]: Taking taylor expansion of im in im
8.332 * [backup-simplify]: Simplify 0 into 0
8.332 * [backup-simplify]: Simplify 1 into 1
8.332 * [backup-simplify]: Simplify (* 1 1) into 1
8.332 * [backup-simplify]: Simplify (/ 1 1) into 1
8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.334 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.334 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
8.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
8.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
8.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
8.339 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.340 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.340 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
8.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
8.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
8.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
8.343 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.344 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
8.345 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
8.345 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
8.346 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
8.346 * [backup-simplify]: Simplify 0 into 0
8.346 * [backup-simplify]: Simplify 0 into 0
8.347 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.347 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
8.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
8.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
8.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
8.352 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.353 * [backup-simplify]: Simplify 0 into 0
8.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.356 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.356 * [backup-simplify]: Simplify (+ 0 0) into 0
8.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.361 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.361 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.364 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.365 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
8.366 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
8.366 * [taylor]: Taking taylor expansion of 0 in im
8.366 * [backup-simplify]: Simplify 0 into 0
8.366 * [backup-simplify]: Simplify 0 into 0
8.367 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
8.367 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3)
8.367 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0
8.367 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im
8.367 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
8.367 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
8.367 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
8.367 * [taylor]: Taking taylor expansion of 1/4 in im
8.367 * [backup-simplify]: Simplify 1/4 into 1/4
8.367 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
8.367 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.367 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.367 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.367 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.368 * [taylor]: Taking taylor expansion of -1 in im
8.368 * [backup-simplify]: Simplify -1 into -1
8.368 * [taylor]: Taking taylor expansion of re in im
8.368 * [backup-simplify]: Simplify re into re
8.368 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.368 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.368 * [taylor]: Taking taylor expansion of -1 in im
8.368 * [backup-simplify]: Simplify -1 into -1
8.368 * [taylor]: Taking taylor expansion of re in im
8.368 * [backup-simplify]: Simplify re into re
8.368 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.368 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.368 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.368 * [taylor]: Taking taylor expansion of -1 in im
8.368 * [backup-simplify]: Simplify -1 into -1
8.368 * [taylor]: Taking taylor expansion of im in im
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (/ -1 1) into -1
8.369 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.369 * [taylor]: Taking taylor expansion of -1 in im
8.369 * [backup-simplify]: Simplify -1 into -1
8.369 * [taylor]: Taking taylor expansion of im in im
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (/ -1 1) into -1
8.370 * [backup-simplify]: Simplify (* -1 -1) into 1
8.370 * [backup-simplify]: Simplify (+ 0 1) into 1
8.371 * [backup-simplify]: Simplify (sqrt 1) into 1
8.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.373 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.373 * [backup-simplify]: Simplify (+ 0 0) into 0
8.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.374 * [backup-simplify]: Simplify (log 1) into 0
8.375 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.375 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
8.375 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
8.375 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
8.375 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
8.375 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.375 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.375 * [taylor]: Taking taylor expansion of 1/4 in re
8.375 * [backup-simplify]: Simplify 1/4 into 1/4
8.375 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.376 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.376 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.376 * [taylor]: Taking taylor expansion of -1 in re
8.376 * [backup-simplify]: Simplify -1 into -1
8.376 * [taylor]: Taking taylor expansion of re in re
8.376 * [backup-simplify]: Simplify 0 into 0
8.376 * [backup-simplify]: Simplify 1 into 1
8.376 * [backup-simplify]: Simplify (/ -1 1) into -1
8.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.376 * [taylor]: Taking taylor expansion of -1 in re
8.376 * [backup-simplify]: Simplify -1 into -1
8.376 * [taylor]: Taking taylor expansion of re in re
8.376 * [backup-simplify]: Simplify 0 into 0
8.376 * [backup-simplify]: Simplify 1 into 1
8.377 * [backup-simplify]: Simplify (/ -1 1) into -1
8.377 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.377 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.377 * [taylor]: Taking taylor expansion of -1 in re
8.377 * [backup-simplify]: Simplify -1 into -1
8.377 * [taylor]: Taking taylor expansion of im in re
8.377 * [backup-simplify]: Simplify im into im
8.377 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.377 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.377 * [taylor]: Taking taylor expansion of -1 in re
8.377 * [backup-simplify]: Simplify -1 into -1
8.377 * [taylor]: Taking taylor expansion of im in re
8.377 * [backup-simplify]: Simplify im into im
8.377 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.378 * [backup-simplify]: Simplify (* -1 -1) into 1
8.378 * [backup-simplify]: Simplify (+ 1 0) into 1
8.379 * [backup-simplify]: Simplify (sqrt 1) into 1
8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.381 * [backup-simplify]: Simplify (+ 0 0) into 0
8.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.383 * [backup-simplify]: Simplify (log 1) into 0
8.383 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.383 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.383 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.383 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re
8.383 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
8.383 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.383 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.383 * [taylor]: Taking taylor expansion of 1/4 in re
8.384 * [backup-simplify]: Simplify 1/4 into 1/4
8.384 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.384 * [taylor]: Taking taylor expansion of -1 in re
8.384 * [backup-simplify]: Simplify -1 into -1
8.384 * [taylor]: Taking taylor expansion of re in re
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify 1 into 1
8.384 * [backup-simplify]: Simplify (/ -1 1) into -1
8.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.385 * [taylor]: Taking taylor expansion of -1 in re
8.385 * [backup-simplify]: Simplify -1 into -1
8.385 * [taylor]: Taking taylor expansion of re in re
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.385 * [backup-simplify]: Simplify (/ -1 1) into -1
8.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.385 * [taylor]: Taking taylor expansion of -1 in re
8.385 * [backup-simplify]: Simplify -1 into -1
8.385 * [taylor]: Taking taylor expansion of im in re
8.385 * [backup-simplify]: Simplify im into im
8.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.385 * [taylor]: Taking taylor expansion of -1 in re
8.385 * [backup-simplify]: Simplify -1 into -1
8.385 * [taylor]: Taking taylor expansion of im in re
8.385 * [backup-simplify]: Simplify im into im
8.386 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.386 * [backup-simplify]: Simplify (* -1 -1) into 1
8.386 * [backup-simplify]: Simplify (+ 1 0) into 1
8.387 * [backup-simplify]: Simplify (sqrt 1) into 1
8.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.390 * [backup-simplify]: Simplify (+ 0 0) into 0
8.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.391 * [backup-simplify]: Simplify (log 1) into 0
8.391 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.391 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.391 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.392 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
8.392 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
8.392 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
8.392 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
8.392 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
8.392 * [taylor]: Taking taylor expansion of 1/4 in im
8.392 * [backup-simplify]: Simplify 1/4 into 1/4
8.392 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
8.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
8.392 * [taylor]: Taking taylor expansion of (pow re 3) in im
8.392 * [taylor]: Taking taylor expansion of re in im
8.392 * [backup-simplify]: Simplify re into re
8.392 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.393 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
8.393 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
8.393 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
8.393 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
8.393 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
8.393 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
8.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.395 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.396 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
8.397 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.397 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
8.397 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
8.397 * [taylor]: Taking taylor expansion of 0 in im
8.397 * [backup-simplify]: Simplify 0 into 0
8.397 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.398 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
8.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
8.401 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.401 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.404 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.405 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
8.409 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.410 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
8.411 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
8.412 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
8.414 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
8.414 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
8.414 * [taylor]: Taking taylor expansion of 3/8 in im
8.414 * [backup-simplify]: Simplify 3/8 into 3/8
8.414 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
8.414 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
8.414 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
8.414 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
8.414 * [taylor]: Taking taylor expansion of 1/4 in im
8.414 * [backup-simplify]: Simplify 1/4 into 1/4
8.414 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
8.414 * [taylor]: Taking taylor expansion of (pow re 3) in im
8.414 * [taylor]: Taking taylor expansion of re in im
8.414 * [backup-simplify]: Simplify re into re
8.414 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.415 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
8.415 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
8.415 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
8.415 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
8.415 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
8.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.415 * [taylor]: Taking taylor expansion of im in im
8.415 * [backup-simplify]: Simplify 0 into 0
8.415 * [backup-simplify]: Simplify 1 into 1
8.416 * [backup-simplify]: Simplify (* 1 1) into 1
8.416 * [backup-simplify]: Simplify (/ 1 1) into 1
8.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.420 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
8.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
8.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
8.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
8.423 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.423 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.424 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
8.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
8.426 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
8.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
8.428 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.429 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
8.430 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
8.430 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
8.431 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
8.431 * [backup-simplify]: Simplify 0 into 0
8.431 * [backup-simplify]: Simplify 0 into 0
8.432 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.432 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
8.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
8.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
8.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
8.437 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.442 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.442 * [backup-simplify]: Simplify (+ 0 0) into 0
8.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.447 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.447 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.451 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.452 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
8.453 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
8.453 * [taylor]: Taking taylor expansion of 0 in im
8.453 * [backup-simplify]: Simplify 0 into 0
8.453 * [backup-simplify]: Simplify 0 into 0
8.453 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
8.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
8.454 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) into (hypot re im)
8.454 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
8.454 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.454 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.454 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.454 * [taylor]: Taking taylor expansion of (* re re) in im
8.454 * [taylor]: Taking taylor expansion of re in im
8.454 * [backup-simplify]: Simplify re into re
8.454 * [taylor]: Taking taylor expansion of re in im
8.454 * [backup-simplify]: Simplify re into re
8.454 * [taylor]: Taking taylor expansion of (* im im) in im
8.454 * [taylor]: Taking taylor expansion of im in im
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.454 * [taylor]: Taking taylor expansion of im in im
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.454 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.455 * [backup-simplify]: Simplify (* 0 0) into 0
8.455 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.455 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.455 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.456 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.456 * [backup-simplify]: Simplify (+ 0 0) into 0
8.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.457 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.457 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.457 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.457 * [taylor]: Taking taylor expansion of (* re re) in re
8.457 * [taylor]: Taking taylor expansion of re in re
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 1 into 1
8.457 * [taylor]: Taking taylor expansion of re in re
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 1 into 1
8.457 * [taylor]: Taking taylor expansion of (* im im) in re
8.457 * [taylor]: Taking taylor expansion of im in re
8.457 * [backup-simplify]: Simplify im into im
8.457 * [taylor]: Taking taylor expansion of im in re
8.457 * [backup-simplify]: Simplify im into im
8.458 * [backup-simplify]: Simplify (* 0 0) into 0
8.458 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.458 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.458 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.459 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.459 * [backup-simplify]: Simplify (+ 0 0) into 0
8.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.459 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.460 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.460 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.460 * [taylor]: Taking taylor expansion of (* re re) in re
8.460 * [taylor]: Taking taylor expansion of re in re
8.460 * [backup-simplify]: Simplify 0 into 0
8.460 * [backup-simplify]: Simplify 1 into 1
8.460 * [taylor]: Taking taylor expansion of re in re
8.460 * [backup-simplify]: Simplify 0 into 0
8.460 * [backup-simplify]: Simplify 1 into 1
8.460 * [taylor]: Taking taylor expansion of (* im im) in re
8.460 * [taylor]: Taking taylor expansion of im in re
8.460 * [backup-simplify]: Simplify im into im
8.460 * [taylor]: Taking taylor expansion of im in re
8.460 * [backup-simplify]: Simplify im into im
8.460 * [backup-simplify]: Simplify (* 0 0) into 0
8.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.460 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.461 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.462 * [backup-simplify]: Simplify (+ 0 0) into 0
8.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.462 * [taylor]: Taking taylor expansion of im in im
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 1 into 1
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [taylor]: Taking taylor expansion of 0 in im
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 1 into 1
8.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.464 * [backup-simplify]: Simplify (+ 1 0) into 1
8.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.465 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.465 * [taylor]: Taking taylor expansion of 1/2 in im
8.465 * [backup-simplify]: Simplify 1/2 into 1/2
8.465 * [taylor]: Taking taylor expansion of im in im
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify 1 into 1
8.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.467 * [backup-simplify]: Simplify 0 into 0
8.467 * [backup-simplify]: Simplify 0 into 0
8.467 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.469 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.469 * [backup-simplify]: Simplify (+ 0 0) into 0
8.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.470 * [taylor]: Taking taylor expansion of 0 in im
8.470 * [backup-simplify]: Simplify 0 into 0
8.470 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.471 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3)) into (hypot (/ 1 re) (/ 1 im))
8.471 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
8.471 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.472 * [taylor]: Taking taylor expansion of re in im
8.472 * [backup-simplify]: Simplify re into re
8.472 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.472 * [taylor]: Taking taylor expansion of re in im
8.472 * [backup-simplify]: Simplify re into re
8.472 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.472 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.472 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.472 * [taylor]: Taking taylor expansion of im in im
8.472 * [backup-simplify]: Simplify 0 into 0
8.472 * [backup-simplify]: Simplify 1 into 1
8.473 * [backup-simplify]: Simplify (/ 1 1) into 1
8.473 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.473 * [taylor]: Taking taylor expansion of im in im
8.473 * [backup-simplify]: Simplify 0 into 0
8.473 * [backup-simplify]: Simplify 1 into 1
8.473 * [backup-simplify]: Simplify (/ 1 1) into 1
8.474 * [backup-simplify]: Simplify (* 1 1) into 1
8.474 * [backup-simplify]: Simplify (+ 0 1) into 1
8.474 * [backup-simplify]: Simplify (sqrt 1) into 1
8.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.477 * [backup-simplify]: Simplify (+ 0 0) into 0
8.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.478 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.478 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.478 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.478 * [taylor]: Taking taylor expansion of re in re
8.478 * [backup-simplify]: Simplify 0 into 0
8.478 * [backup-simplify]: Simplify 1 into 1
8.479 * [backup-simplify]: Simplify (/ 1 1) into 1
8.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.479 * [taylor]: Taking taylor expansion of re in re
8.479 * [backup-simplify]: Simplify 0 into 0
8.479 * [backup-simplify]: Simplify 1 into 1
8.479 * [backup-simplify]: Simplify (/ 1 1) into 1
8.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.479 * [taylor]: Taking taylor expansion of im in re
8.479 * [backup-simplify]: Simplify im into im
8.479 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.479 * [taylor]: Taking taylor expansion of im in re
8.479 * [backup-simplify]: Simplify im into im
8.479 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.480 * [backup-simplify]: Simplify (* 1 1) into 1
8.480 * [backup-simplify]: Simplify (+ 1 0) into 1
8.481 * [backup-simplify]: Simplify (sqrt 1) into 1
8.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.483 * [backup-simplify]: Simplify (+ 0 0) into 0
8.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.484 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.484 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.484 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.484 * [taylor]: Taking taylor expansion of re in re
8.484 * [backup-simplify]: Simplify 0 into 0
8.484 * [backup-simplify]: Simplify 1 into 1
8.485 * [backup-simplify]: Simplify (/ 1 1) into 1
8.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.485 * [taylor]: Taking taylor expansion of re in re
8.485 * [backup-simplify]: Simplify 0 into 0
8.485 * [backup-simplify]: Simplify 1 into 1
8.485 * [backup-simplify]: Simplify (/ 1 1) into 1
8.485 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.485 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.485 * [taylor]: Taking taylor expansion of im in re
8.485 * [backup-simplify]: Simplify im into im
8.485 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.485 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.485 * [taylor]: Taking taylor expansion of im in re
8.485 * [backup-simplify]: Simplify im into im
8.485 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.486 * [backup-simplify]: Simplify (* 1 1) into 1
8.486 * [backup-simplify]: Simplify (+ 1 0) into 1
8.487 * [backup-simplify]: Simplify (sqrt 1) into 1
8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.489 * [backup-simplify]: Simplify (+ 0 0) into 0
8.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.490 * [taylor]: Taking taylor expansion of 1 in im
8.490 * [backup-simplify]: Simplify 1 into 1
8.490 * [taylor]: Taking taylor expansion of 0 in im
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.493 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.493 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.500 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.500 * [taylor]: Taking taylor expansion of 1/2 in im
8.500 * [backup-simplify]: Simplify 1/2 into 1/2
8.500 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.500 * [taylor]: Taking taylor expansion of im in im
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 1 into 1
8.501 * [backup-simplify]: Simplify (* 1 1) into 1
8.502 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.503 * [backup-simplify]: Simplify 0 into 0
8.503 * [backup-simplify]: Simplify 0 into 0
8.503 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.507 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.507 * [backup-simplify]: Simplify (+ 0 0) into 0
8.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.508 * [taylor]: Taking taylor expansion of 0 in im
8.508 * [backup-simplify]: Simplify 0 into 0
8.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.511 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3)) into (hypot (/ -1 re) (/ -1 im))
8.511 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
8.511 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.511 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.511 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.511 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.511 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.511 * [taylor]: Taking taylor expansion of -1 in im
8.511 * [backup-simplify]: Simplify -1 into -1
8.511 * [taylor]: Taking taylor expansion of re in im
8.511 * [backup-simplify]: Simplify re into re
8.511 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.511 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.511 * [taylor]: Taking taylor expansion of -1 in im
8.511 * [backup-simplify]: Simplify -1 into -1
8.511 * [taylor]: Taking taylor expansion of re in im
8.511 * [backup-simplify]: Simplify re into re
8.511 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.512 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.512 * [taylor]: Taking taylor expansion of -1 in im
8.512 * [backup-simplify]: Simplify -1 into -1
8.512 * [taylor]: Taking taylor expansion of im in im
8.512 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify 1 into 1
8.512 * [backup-simplify]: Simplify (/ -1 1) into -1
8.512 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.512 * [taylor]: Taking taylor expansion of -1 in im
8.512 * [backup-simplify]: Simplify -1 into -1
8.512 * [taylor]: Taking taylor expansion of im in im
8.512 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify 1 into 1
8.513 * [backup-simplify]: Simplify (/ -1 1) into -1
8.513 * [backup-simplify]: Simplify (* -1 -1) into 1
8.514 * [backup-simplify]: Simplify (+ 0 1) into 1
8.514 * [backup-simplify]: Simplify (sqrt 1) into 1
8.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.516 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.517 * [backup-simplify]: Simplify (+ 0 0) into 0
8.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.517 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.518 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.518 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.518 * [taylor]: Taking taylor expansion of -1 in re
8.518 * [backup-simplify]: Simplify -1 into -1
8.518 * [taylor]: Taking taylor expansion of re in re
8.518 * [backup-simplify]: Simplify 0 into 0
8.518 * [backup-simplify]: Simplify 1 into 1
8.518 * [backup-simplify]: Simplify (/ -1 1) into -1
8.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.518 * [taylor]: Taking taylor expansion of -1 in re
8.518 * [backup-simplify]: Simplify -1 into -1
8.518 * [taylor]: Taking taylor expansion of re in re
8.518 * [backup-simplify]: Simplify 0 into 0
8.518 * [backup-simplify]: Simplify 1 into 1
8.519 * [backup-simplify]: Simplify (/ -1 1) into -1
8.519 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.519 * [taylor]: Taking taylor expansion of -1 in re
8.519 * [backup-simplify]: Simplify -1 into -1
8.519 * [taylor]: Taking taylor expansion of im in re
8.519 * [backup-simplify]: Simplify im into im
8.519 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.519 * [taylor]: Taking taylor expansion of -1 in re
8.519 * [backup-simplify]: Simplify -1 into -1
8.519 * [taylor]: Taking taylor expansion of im in re
8.519 * [backup-simplify]: Simplify im into im
8.519 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.520 * [backup-simplify]: Simplify (* -1 -1) into 1
8.520 * [backup-simplify]: Simplify (+ 1 0) into 1
8.521 * [backup-simplify]: Simplify (sqrt 1) into 1
8.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.524 * [backup-simplify]: Simplify (+ 0 0) into 0
8.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.524 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.524 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.524 * [taylor]: Taking taylor expansion of -1 in re
8.524 * [backup-simplify]: Simplify -1 into -1
8.524 * [taylor]: Taking taylor expansion of re in re
8.524 * [backup-simplify]: Simplify 0 into 0
8.524 * [backup-simplify]: Simplify 1 into 1
8.525 * [backup-simplify]: Simplify (/ -1 1) into -1
8.525 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.525 * [taylor]: Taking taylor expansion of -1 in re
8.525 * [backup-simplify]: Simplify -1 into -1
8.525 * [taylor]: Taking taylor expansion of re in re
8.525 * [backup-simplify]: Simplify 0 into 0
8.525 * [backup-simplify]: Simplify 1 into 1
8.525 * [backup-simplify]: Simplify (/ -1 1) into -1
8.525 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.525 * [taylor]: Taking taylor expansion of -1 in re
8.525 * [backup-simplify]: Simplify -1 into -1
8.525 * [taylor]: Taking taylor expansion of im in re
8.525 * [backup-simplify]: Simplify im into im
8.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.525 * [taylor]: Taking taylor expansion of -1 in re
8.525 * [backup-simplify]: Simplify -1 into -1
8.525 * [taylor]: Taking taylor expansion of im in re
8.525 * [backup-simplify]: Simplify im into im
8.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.525 * [backup-simplify]: Simplify (* -1 -1) into 1
8.526 * [backup-simplify]: Simplify (+ 1 0) into 1
8.526 * [backup-simplify]: Simplify (sqrt 1) into 1
8.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.527 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.527 * [backup-simplify]: Simplify (+ 0 0) into 0
8.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.528 * [taylor]: Taking taylor expansion of 1 in im
8.528 * [backup-simplify]: Simplify 1 into 1
8.528 * [taylor]: Taking taylor expansion of 0 in im
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 1 into 1
8.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.530 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.531 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.531 * [taylor]: Taking taylor expansion of 1/2 in im
8.531 * [backup-simplify]: Simplify 1/2 into 1/2
8.531 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.531 * [taylor]: Taking taylor expansion of im in im
8.531 * [backup-simplify]: Simplify 0 into 0
8.531 * [backup-simplify]: Simplify 1 into 1
8.531 * [backup-simplify]: Simplify (* 1 1) into 1
8.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.534 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.534 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.534 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.535 * [backup-simplify]: Simplify (+ 0 0) into 0
8.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.535 * [taylor]: Taking taylor expansion of 0 in im
8.535 * [backup-simplify]: Simplify 0 into 0
8.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.536 * [backup-simplify]: Simplify 0 into 0
8.536 * [backup-simplify]: Simplify 0 into 0
8.536 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1)
8.537 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
8.537 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0
8.537 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im
8.537 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im
8.537 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im
8.537 * [taylor]: Taking taylor expansion of 1/4 in im
8.537 * [backup-simplify]: Simplify 1/4 into 1/4
8.537 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
8.537 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.537 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.537 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.537 * [taylor]: Taking taylor expansion of (* re re) in im
8.537 * [taylor]: Taking taylor expansion of re in im
8.537 * [backup-simplify]: Simplify re into re
8.537 * [taylor]: Taking taylor expansion of re in im
8.537 * [backup-simplify]: Simplify re into re
8.537 * [taylor]: Taking taylor expansion of (* im im) in im
8.537 * [taylor]: Taking taylor expansion of im in im
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify 1 into 1
8.537 * [taylor]: Taking taylor expansion of im in im
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify 1 into 1
8.537 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.537 * [backup-simplify]: Simplify (* 0 0) into 0
8.538 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.538 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.538 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.538 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.538 * [backup-simplify]: Simplify (+ 0 0) into 0
8.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.538 * [backup-simplify]: Simplify (log re) into (log re)
8.538 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re))
8.539 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4)
8.539 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
8.539 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
8.539 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
8.539 * [taylor]: Taking taylor expansion of 1/4 in re
8.539 * [backup-simplify]: Simplify 1/4 into 1/4
8.539 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.539 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.539 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.539 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.539 * [taylor]: Taking taylor expansion of (* re re) in re
8.539 * [taylor]: Taking taylor expansion of re in re
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify 1 into 1
8.539 * [taylor]: Taking taylor expansion of re in re
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify 1 into 1
8.539 * [taylor]: Taking taylor expansion of (* im im) in re
8.539 * [taylor]: Taking taylor expansion of im in re
8.539 * [backup-simplify]: Simplify im into im
8.539 * [taylor]: Taking taylor expansion of im in re
8.539 * [backup-simplify]: Simplify im into im
8.539 * [backup-simplify]: Simplify (* 0 0) into 0
8.539 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.539 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.539 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.540 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.540 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.540 * [backup-simplify]: Simplify (+ 0 0) into 0
8.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.540 * [backup-simplify]: Simplify (log im) into (log im)
8.540 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
8.540 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
8.540 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re
8.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re
8.540 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re
8.540 * [taylor]: Taking taylor expansion of 1/4 in re
8.540 * [backup-simplify]: Simplify 1/4 into 1/4
8.541 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.541 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.541 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.541 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.541 * [taylor]: Taking taylor expansion of (* re re) in re
8.541 * [taylor]: Taking taylor expansion of re in re
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [taylor]: Taking taylor expansion of re in re
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [taylor]: Taking taylor expansion of (* im im) in re
8.541 * [taylor]: Taking taylor expansion of im in re
8.541 * [backup-simplify]: Simplify im into im
8.541 * [taylor]: Taking taylor expansion of im in re
8.541 * [backup-simplify]: Simplify im into im
8.541 * [backup-simplify]: Simplify (* 0 0) into 0
8.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.541 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.541 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.542 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.542 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.542 * [backup-simplify]: Simplify (+ 0 0) into 0
8.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.542 * [backup-simplify]: Simplify (log im) into (log im)
8.542 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
8.542 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
8.542 * [taylor]: Taking taylor expansion of (pow im 1/4) in im
8.542 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im
8.542 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im
8.542 * [taylor]: Taking taylor expansion of 1/4 in im
8.542 * [backup-simplify]: Simplify 1/4 into 1/4
8.542 * [taylor]: Taking taylor expansion of (log im) in im
8.542 * [taylor]: Taking taylor expansion of im in im
8.542 * [backup-simplify]: Simplify 0 into 0
8.542 * [backup-simplify]: Simplify 1 into 1
8.543 * [backup-simplify]: Simplify (log 1) into 0
8.543 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.543 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im))
8.543 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
8.543 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4)
8.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
8.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
8.545 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.545 * [taylor]: Taking taylor expansion of 0 in im
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.546 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.546 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0
8.546 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.547 * [backup-simplify]: Simplify 0 into 0
8.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.547 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.548 * [backup-simplify]: Simplify (+ 1 0) into 1
8.548 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
8.549 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2)))
8.550 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
8.550 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im
8.550 * [taylor]: Taking taylor expansion of 1/8 in im
8.550 * [backup-simplify]: Simplify 1/8 into 1/8
8.550 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im
8.550 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im
8.550 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im
8.550 * [taylor]: Taking taylor expansion of 1/4 in im
8.550 * [backup-simplify]: Simplify 1/4 into 1/4
8.550 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im
8.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im
8.550 * [taylor]: Taking taylor expansion of (pow im 7) in im
8.550 * [taylor]: Taking taylor expansion of im in im
8.550 * [backup-simplify]: Simplify 0 into 0
8.550 * [backup-simplify]: Simplify 1 into 1
8.550 * [backup-simplify]: Simplify (* 1 1) into 1
8.551 * [backup-simplify]: Simplify (* 1 1) into 1
8.551 * [backup-simplify]: Simplify (* 1 1) into 1
8.551 * [backup-simplify]: Simplify (* 1 1) into 1
8.551 * [backup-simplify]: Simplify (/ 1 1) into 1
8.551 * [backup-simplify]: Simplify (log 1) into 0
8.552 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im)))
8.552 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im))
8.552 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4)
8.552 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
8.553 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
8.553 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.556 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0
8.557 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.559 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.560 * [backup-simplify]: Simplify (+ 0 0) into 0
8.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.562 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
8.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
8.565 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.565 * [taylor]: Taking taylor expansion of 0 in im
8.565 * [backup-simplify]: Simplify 0 into 0
8.565 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.570 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im)))
8.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0
8.571 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.572 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.577 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.578 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
8.579 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4))
8.580 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
8.580 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0
8.580 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im
8.580 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im
8.580 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im
8.580 * [taylor]: Taking taylor expansion of 1/4 in im
8.580 * [backup-simplify]: Simplify 1/4 into 1/4
8.580 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
8.580 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.581 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.581 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.581 * [taylor]: Taking taylor expansion of re in im
8.581 * [backup-simplify]: Simplify re into re
8.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.581 * [taylor]: Taking taylor expansion of re in im
8.581 * [backup-simplify]: Simplify re into re
8.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.581 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.581 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.581 * [taylor]: Taking taylor expansion of im in im
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 1 into 1
8.581 * [backup-simplify]: Simplify (/ 1 1) into 1
8.581 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.581 * [taylor]: Taking taylor expansion of im in im
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 1 into 1
8.581 * [backup-simplify]: Simplify (/ 1 1) into 1
8.582 * [backup-simplify]: Simplify (* 1 1) into 1
8.582 * [backup-simplify]: Simplify (+ 0 1) into 1
8.582 * [backup-simplify]: Simplify (sqrt 1) into 1
8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.584 * [backup-simplify]: Simplify (+ 0 0) into 0
8.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.585 * [backup-simplify]: Simplify (log 1) into 0
8.585 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.585 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
8.585 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
8.585 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
8.585 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.585 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.585 * [taylor]: Taking taylor expansion of 1/4 in re
8.585 * [backup-simplify]: Simplify 1/4 into 1/4
8.585 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.585 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.585 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.585 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.585 * [taylor]: Taking taylor expansion of re in re
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify 1 into 1
8.586 * [backup-simplify]: Simplify (/ 1 1) into 1
8.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.586 * [taylor]: Taking taylor expansion of re in re
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.586 * [backup-simplify]: Simplify (/ 1 1) into 1
8.586 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.586 * [taylor]: Taking taylor expansion of im in re
8.586 * [backup-simplify]: Simplify im into im
8.586 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.586 * [taylor]: Taking taylor expansion of im in re
8.586 * [backup-simplify]: Simplify im into im
8.586 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.587 * [backup-simplify]: Simplify (* 1 1) into 1
8.587 * [backup-simplify]: Simplify (+ 1 0) into 1
8.587 * [backup-simplify]: Simplify (sqrt 1) into 1
8.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.589 * [backup-simplify]: Simplify (+ 0 0) into 0
8.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.589 * [backup-simplify]: Simplify (log 1) into 0
8.590 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.590 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.590 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.590 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re
8.590 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.590 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.590 * [taylor]: Taking taylor expansion of 1/4 in re
8.590 * [backup-simplify]: Simplify 1/4 into 1/4
8.590 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.590 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.590 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.590 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.590 * [taylor]: Taking taylor expansion of re in re
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.591 * [backup-simplify]: Simplify (/ 1 1) into 1
8.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.591 * [taylor]: Taking taylor expansion of re in re
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 1 into 1
8.591 * [backup-simplify]: Simplify (/ 1 1) into 1
8.591 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.591 * [taylor]: Taking taylor expansion of im in re
8.591 * [backup-simplify]: Simplify im into im
8.591 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.591 * [taylor]: Taking taylor expansion of im in re
8.591 * [backup-simplify]: Simplify im into im
8.591 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.591 * [backup-simplify]: Simplify (* 1 1) into 1
8.592 * [backup-simplify]: Simplify (+ 1 0) into 1
8.592 * [backup-simplify]: Simplify (sqrt 1) into 1
8.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.594 * [backup-simplify]: Simplify (+ 0 0) into 0
8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.594 * [backup-simplify]: Simplify (log 1) into 0
8.595 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.595 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.595 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.595 * [taylor]: Taking taylor expansion of (pow re -1/4) in im
8.595 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im
8.595 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im
8.595 * [taylor]: Taking taylor expansion of -1/4 in im
8.595 * [backup-simplify]: Simplify -1/4 into -1/4
8.595 * [taylor]: Taking taylor expansion of (log re) in im
8.595 * [taylor]: Taking taylor expansion of re in im
8.595 * [backup-simplify]: Simplify re into re
8.595 * [backup-simplify]: Simplify (log re) into (log re)
8.595 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re))
8.595 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.595 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4)
8.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.596 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
8.597 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.597 * [taylor]: Taking taylor expansion of 0 in im
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.598 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0
8.599 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.599 * [backup-simplify]: Simplify 0 into 0
8.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.601 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.601 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.602 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
8.603 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.604 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
8.604 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
8.604 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im
8.604 * [taylor]: Taking taylor expansion of 1/8 in im
8.605 * [backup-simplify]: Simplify 1/8 into 1/8
8.605 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im
8.605 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im
8.605 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im
8.605 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im
8.605 * [taylor]: Taking taylor expansion of 1/4 in im
8.605 * [backup-simplify]: Simplify 1/4 into 1/4
8.605 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.605 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.605 * [taylor]: Taking taylor expansion of re in im
8.605 * [backup-simplify]: Simplify re into re
8.605 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.605 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.605 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re)))
8.605 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4)
8.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.605 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.605 * [taylor]: Taking taylor expansion of im in im
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 1 into 1
8.605 * [backup-simplify]: Simplify (* 1 1) into 1
8.606 * [backup-simplify]: Simplify (/ 1 1) into 1
8.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0
8.609 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
8.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.618 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.619 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
8.620 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0
8.620 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4)
8.621 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0
8.621 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.624 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.626 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.626 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.632 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.632 * [backup-simplify]: Simplify (+ 0 0) into 0
8.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.637 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.637 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.641 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.641 * [taylor]: Taking taylor expansion of 0 in im
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4)
8.641 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
8.641 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0
8.641 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im
8.641 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im
8.641 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im
8.641 * [taylor]: Taking taylor expansion of 1/4 in im
8.641 * [backup-simplify]: Simplify 1/4 into 1/4
8.641 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
8.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.642 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.642 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.642 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.642 * [taylor]: Taking taylor expansion of -1 in im
8.642 * [backup-simplify]: Simplify -1 into -1
8.642 * [taylor]: Taking taylor expansion of re in im
8.642 * [backup-simplify]: Simplify re into re
8.642 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.642 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.642 * [taylor]: Taking taylor expansion of -1 in im
8.642 * [backup-simplify]: Simplify -1 into -1
8.642 * [taylor]: Taking taylor expansion of re in im
8.642 * [backup-simplify]: Simplify re into re
8.642 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.642 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.642 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.642 * [taylor]: Taking taylor expansion of -1 in im
8.642 * [backup-simplify]: Simplify -1 into -1
8.642 * [taylor]: Taking taylor expansion of im in im
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 1 into 1
8.642 * [backup-simplify]: Simplify (/ -1 1) into -1
8.642 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.643 * [taylor]: Taking taylor expansion of -1 in im
8.643 * [backup-simplify]: Simplify -1 into -1
8.643 * [taylor]: Taking taylor expansion of im in im
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 1 into 1
8.643 * [backup-simplify]: Simplify (/ -1 1) into -1
8.643 * [backup-simplify]: Simplify (* -1 -1) into 1
8.644 * [backup-simplify]: Simplify (+ 0 1) into 1
8.644 * [backup-simplify]: Simplify (sqrt 1) into 1
8.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.646 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.647 * [backup-simplify]: Simplify (+ 0 0) into 0
8.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.648 * [backup-simplify]: Simplify (log 1) into 0
8.648 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.648 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
8.648 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
8.648 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
8.648 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.648 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.648 * [taylor]: Taking taylor expansion of 1/4 in re
8.648 * [backup-simplify]: Simplify 1/4 into 1/4
8.648 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.648 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.649 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.649 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.649 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.649 * [taylor]: Taking taylor expansion of -1 in re
8.649 * [backup-simplify]: Simplify -1 into -1
8.649 * [taylor]: Taking taylor expansion of re in re
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.649 * [backup-simplify]: Simplify (/ -1 1) into -1
8.649 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.649 * [taylor]: Taking taylor expansion of -1 in re
8.649 * [backup-simplify]: Simplify -1 into -1
8.649 * [taylor]: Taking taylor expansion of re in re
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.650 * [backup-simplify]: Simplify (/ -1 1) into -1
8.650 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.650 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.650 * [taylor]: Taking taylor expansion of -1 in re
8.650 * [backup-simplify]: Simplify -1 into -1
8.650 * [taylor]: Taking taylor expansion of im in re
8.650 * [backup-simplify]: Simplify im into im
8.650 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.650 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.650 * [taylor]: Taking taylor expansion of -1 in re
8.650 * [backup-simplify]: Simplify -1 into -1
8.650 * [taylor]: Taking taylor expansion of im in re
8.650 * [backup-simplify]: Simplify im into im
8.650 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.650 * [backup-simplify]: Simplify (* -1 -1) into 1
8.651 * [backup-simplify]: Simplify (+ 1 0) into 1
8.651 * [backup-simplify]: Simplify (sqrt 1) into 1
8.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.653 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.653 * [backup-simplify]: Simplify (+ 0 0) into 0
8.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.654 * [backup-simplify]: Simplify (log 1) into 0
8.655 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.655 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.655 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.655 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re
8.655 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.655 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.655 * [taylor]: Taking taylor expansion of 1/4 in re
8.655 * [backup-simplify]: Simplify 1/4 into 1/4
8.655 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.655 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.655 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.656 * [taylor]: Taking taylor expansion of -1 in re
8.656 * [backup-simplify]: Simplify -1 into -1
8.656 * [taylor]: Taking taylor expansion of re in re
8.656 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify 1 into 1
8.656 * [backup-simplify]: Simplify (/ -1 1) into -1
8.656 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.656 * [taylor]: Taking taylor expansion of -1 in re
8.656 * [backup-simplify]: Simplify -1 into -1
8.656 * [taylor]: Taking taylor expansion of re in re
8.656 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify 1 into 1
8.657 * [backup-simplify]: Simplify (/ -1 1) into -1
8.657 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.657 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.657 * [taylor]: Taking taylor expansion of -1 in re
8.657 * [backup-simplify]: Simplify -1 into -1
8.657 * [taylor]: Taking taylor expansion of im in re
8.657 * [backup-simplify]: Simplify im into im
8.657 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.657 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.657 * [taylor]: Taking taylor expansion of -1 in re
8.657 * [backup-simplify]: Simplify -1 into -1
8.657 * [taylor]: Taking taylor expansion of im in re
8.657 * [backup-simplify]: Simplify im into im
8.657 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.657 * [backup-simplify]: Simplify (* -1 -1) into 1
8.658 * [backup-simplify]: Simplify (+ 1 0) into 1
8.658 * [backup-simplify]: Simplify (sqrt 1) into 1
8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.660 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.660 * [backup-simplify]: Simplify (+ 0 0) into 0
8.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.661 * [backup-simplify]: Simplify (log 1) into 0
8.662 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.662 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re))
8.662 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.662 * [taylor]: Taking taylor expansion of (pow re -1/4) in im
8.662 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im
8.662 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im
8.662 * [taylor]: Taking taylor expansion of -1/4 in im
8.662 * [backup-simplify]: Simplify -1/4 into -1/4
8.662 * [taylor]: Taking taylor expansion of (log re) in im
8.662 * [taylor]: Taking taylor expansion of re in im
8.662 * [backup-simplify]: Simplify re into re
8.662 * [backup-simplify]: Simplify (log re) into (log re)
8.662 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re))
8.662 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
8.663 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4)
8.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.664 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0
8.666 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.666 * [taylor]: Taking taylor expansion of 0 in im
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.667 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0
8.668 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.668 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.671 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.671 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
8.674 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.675 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2)))
8.676 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
8.676 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im
8.676 * [taylor]: Taking taylor expansion of 1/8 in im
8.676 * [backup-simplify]: Simplify 1/8 into 1/8
8.676 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im
8.676 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im
8.676 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im
8.676 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im
8.676 * [taylor]: Taking taylor expansion of 1/4 in im
8.676 * [backup-simplify]: Simplify 1/4 into 1/4
8.676 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.676 * [taylor]: Taking taylor expansion of re in im
8.676 * [backup-simplify]: Simplify re into re
8.676 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.676 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.677 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re)))
8.677 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4)
8.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.677 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.677 * [taylor]: Taking taylor expansion of im in im
8.677 * [backup-simplify]: Simplify 0 into 0
8.677 * [backup-simplify]: Simplify 1 into 1
8.677 * [backup-simplify]: Simplify (* 1 1) into 1
8.677 * [backup-simplify]: Simplify (/ 1 1) into 1
8.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0
8.683 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
8.685 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.686 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.687 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
8.688 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0
8.688 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4)
8.689 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 0 into 0
8.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.692 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.693 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.693 * [backup-simplify]: Simplify 0 into 0
8.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.696 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.696 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.696 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.696 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.696 * [backup-simplify]: Simplify (+ 0 0) into 0
8.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.700 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.701 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.702 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.704 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.704 * [taylor]: Taking taylor expansion of 0 in im
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4)
8.704 * * * [progress]: simplifying candidates
8.708 * [simplify]: Simplifying:
  (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))
  (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))
  (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- (* (sqrt re) (sqrt re))))
  (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))
  (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- (* re 1)))
  (fma (- re) 1 (* re 1))
  (expm1 (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (log1p (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (- re)
  (/ (exp (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (exp re))
  (log (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (exp (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (* (cbrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (cbrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)))
  (cbrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (* (* (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (sqrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (sqrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))
  (- (pow (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (+ (* re re) (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)))
  (- re)
  (- (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* re re))
  (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)
  (- re)
  (expm1 (pow (sqrt (sqrt (hypot re im))) 3))
  (log1p (pow (sqrt (sqrt (hypot re im))) 3))
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (hypot re im))) (sqrt 3))
  (pow (sqrt (sqrt (hypot re im))) 1)
  (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3)
  (pow (cbrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (log (pow (sqrt (sqrt (hypot re im))) 3))
  (exp (pow (sqrt (sqrt (hypot re im))) 3))
  (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (cbrt (pow (sqrt (sqrt (hypot re im))) 3))
  (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3))
  (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3)
  (pow (cbrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (pow (sqrt (sqrt (hypot re im))) (/ 3 2))
  (pow (sqrt (sqrt (hypot re im))) (/ 3 2))
  (expm1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (log1p (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (+ 1 3)
  (+ (log (sqrt (sqrt (hypot re im)))) (* (log (sqrt (sqrt (hypot re im)))) 3))
  (+ (log (sqrt (sqrt (hypot re im)))) (* (log (sqrt (sqrt (hypot re im)))) 3))
  (+ (log (sqrt (sqrt (hypot re im)))) (log (pow (sqrt (sqrt (hypot re im))) 3)))
  (log (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (exp (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))))
  (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (sqrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (sqrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt 1)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt 1) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow 1 3))
  (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))
  (* (sqrt (sqrt (hypot re im))) (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3))))
  (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt 1)) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt 1) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow 1 3))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (* (sqrt (sqrt (hypot re im))) 1)
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
  (expm1 (sqrt (sqrt (hypot re im))))
  (log1p (sqrt (sqrt (hypot re im))))
  (log (sqrt (sqrt (hypot re im))))
  (exp (sqrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))
  (cbrt (sqrt (sqrt (hypot re im))))
  (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))
  (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (sqrt (cbrt (sqrt (hypot re im))))
  (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (sqrt (sqrt (cbrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt 1)
  (sqrt (sqrt (hypot re im)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (- im re)
  0
  (* -2 re)
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (* -1 (pow re 3)) 1/4)
  im
  re
  (* -1 re)
  (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4))
  (pow (/ 1 re) -1/4)
  (pow (/ -1 re) -1/4)
8.712 * * [simplify]: iteration 0: 174 enodes
8.837 * * [simplify]: iteration 1: 464 enodes
9.301 * * [simplify]: iteration 2: 2698 enodes
11.767 * * [simplify]: iteration complete: 5000 enodes
11.767 * * [simplify]: Extracting #0: cost 82 inf + 0
11.772 * * [simplify]: Extracting #1: cost 1014 inf + 10
11.783 * * [simplify]: Extracting #2: cost 1486 inf + 448
11.795 * * [simplify]: Extracting #3: cost 873 inf + 4118
11.806 * * [simplify]: Extracting #4: cost 294 inf + 11117
11.817 * * [simplify]: Extracting #5: cost 73 inf + 14530
11.832 * * [simplify]: Extracting #6: cost 33 inf + 14962
11.842 * * [simplify]: Extracting #7: cost 0 inf + 15283
11.853 * [simplify]: Simplified to:
  (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)
  (+ re (- re))
  (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)
  (+ re (- re))
  (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)
  (+ re (- re))
  (expm1 (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (log1p (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (- re)
  (exp (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (log (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (exp (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (* (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)))
  (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (pow (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re) 3)
  (sqrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (sqrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))
  (- (pow (pow (sqrt (sqrt (hypot re im))) 3) (+ 3 1)) (pow re 3))
  (fma re (+ (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 6)))
  (- re)
  (fma (- re) re (* (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 6)))
  (+ re (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  (- re)
  (expm1 (pow (sqrt (sqrt (hypot re im))) 3))
  (log1p (pow (sqrt (sqrt (hypot re im))) 3))
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  3/2
  3
  3/4
  3/2
  3/4
  (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (hypot re im))) (sqrt 3))
  (sqrt (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (sqrt (hypot re im)))
  (pow (fabs (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (fabs (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (* (log (sqrt (sqrt (hypot re im)))) 3)
  (exp (pow (sqrt (sqrt (hypot re im))) 3))
  (sqrt (hypot re im))
  (sqrt (sqrt (hypot re im)))
  (pow (pow (sqrt (sqrt (hypot re im))) 3) 3)
  (sqrt (hypot re im))
  (sqrt (sqrt (hypot re im)))
  (pow (fabs (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (fabs (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)
  1
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  3/2
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (sqrt (pow (sqrt (sqrt (hypot re im))) 3))
  (pow (sqrt (sqrt (hypot re im))) 3/2)
  (pow (sqrt (sqrt (hypot re im))) 3/2)
  (expm1 (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  (log1p (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  4
  (* 4 (log (sqrt (sqrt (hypot re im)))))
  (* 4 (log (sqrt (sqrt (hypot re im)))))
  (* 4 (log (sqrt (sqrt (hypot re im)))))
  (* 4 (log (sqrt (sqrt (hypot re im)))))
  (exp (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  (pow (pow (sqrt (sqrt (hypot re im))) 3) (+ 3 1))
  (* (cbrt (pow (sqrt (sqrt (hypot re im))) (+ 3 1))) (cbrt (pow (sqrt (sqrt (hypot re im))) (+ 3 1))))
  (cbrt (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  (pow (pow (sqrt (sqrt (hypot re im))) 3) (+ 3 1))
  (sqrt (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  (sqrt (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3/2))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3/2))
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (sqrt (hypot re im)))) 4)
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im)))))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3/2))
  (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3/2))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (pow (fabs (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (fabs (cbrt (hypot re im)))) 3))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (hypot re im)))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (hypot re im)))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (* (pow (fabs (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (pow (sqrt (fabs (cbrt (hypot re im)))) 3))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (hypot re im)))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (hypot re im)))
  (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (sqrt (sqrt (hypot re im))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)))
  (sqrt (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 5/2)
  (* (cbrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (cbrt (hypot re im)))))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (pow (sqrt (sqrt (hypot re im))) (+ 3 1))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (pow (sqrt (sqrt (hypot re im))) (+ 3 1))
  (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im)))))
  (pow (sqrt (sqrt (hypot re im))) (+ 3 1))
  (expm1 (sqrt (sqrt (hypot re im))))
  (log1p (sqrt (sqrt (hypot re im))))
  (log (sqrt (sqrt (hypot re im))))
  (exp (sqrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))
  (cbrt (sqrt (sqrt (hypot re im))))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (fabs (cbrt (sqrt (hypot re im))))
  (sqrt (cbrt (sqrt (hypot re im))))
  (sqrt (fabs (cbrt (hypot re im))))
  (sqrt (sqrt (cbrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  1
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  1
  (sqrt (sqrt (hypot re im)))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (hypot re im))))
  (sqrt (sqrt (sqrt (hypot re im))))
  (- im re)
  0
  (* -2 re)
  (fma (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (* re re) (pow im 3/4))
  (pow (pow re 3) 1/4)
  (pow (- (pow re 3)) 1/4)
  im
  re
  (- re)
  (fma (pow (/ 1 (pow im 7)) 1/4) (* 1/8 (* re re)) (pow im 1/4))
  (pow (/ 1 re) -1/4)
  (pow (/ -1 re) -1/4)
11.854 * * * [progress]: adding candidates to table
12.572 * [progress]: [Phase 3 of 3] Extracting.
12.572 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (hypot re im) (* re (- re))) (+ (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (- re) re (* (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 6))) (+ re (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ re (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))))>)
12.575 * * * [regime-changes]: Trying 2 branch expressions: (im re)
12.576 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (hypot re im) (* re (- re))) (+ (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (- re) re (* (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 6))) (+ re (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ re (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))))>)
12.714 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (hypot re im) (* re (- re))) (+ (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (- re) re (* (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 6))) (+ re (pow (sqrt (sqrt (hypot re im))) (+ 3 1)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ re (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re)) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))) (cbrt (- (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))))>)
12.834 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
12.835 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (- (hypot re im) re) 2.0)))
12.835 * * [simplify]: iteration 0: 9 enodes
12.836 * * [simplify]: iteration 1: 11 enodes
12.836 * * [simplify]: iteration complete: 11 enodes
12.836 * * [simplify]: Extracting #0: cost 1 inf + 0
12.836 * * [simplify]: Extracting #1: cost 3 inf + 0
12.836 * * [simplify]: Extracting #2: cost 3 inf + 1
12.836 * * [simplify]: Extracting #3: cost 5 inf + 1
12.836 * * [simplify]: Extracting #4: cost 6 inf + 2
12.837 * * [simplify]: Extracting #5: cost 6 inf + 3
12.837 * * [simplify]: Extracting #6: cost 0 inf + 37
12.837 * [simplify]: Simplified to:
  (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
16.773 * [regime-testing]: Baseline error score: 13.51082097385954
16.775 * [regime-testing]: Oracle error score: 13.295240471992386
16.784 * [regime-testing]: End program error score: 13.51082097385954