0.399 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.255 * * * [progress]: [2/2] Setting up program.
0.266 * [progress]: [Phase 2 of 3] Improving.
0.269 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.271 * * [simplify]: iteration 0: 12 enodes
0.279 * * [simplify]: iteration 1: 17 enodes
0.283 * * [simplify]: iteration 2: 24 enodes
0.291 * * [simplify]: iteration 3: 30 enodes
0.299 * * [simplify]: iteration 4: 35 enodes
1.055 * * [simplify]: iteration complete: 35 enodes
1.056 * * [simplify]: Extracting #0: cost 1 inf + 0
1.056 * * [simplify]: Extracting #1: cost 3 inf + 0
1.057 * * [simplify]: Extracting #2: cost 3 inf + 1
1.057 * * [simplify]: Extracting #3: cost 8 inf + 1
1.057 * * [simplify]: Extracting #4: cost 11 inf + 2
1.057 * * [simplify]: Extracting #5: cost 7 inf + 209
1.057 * * [simplify]: Extracting #6: cost 9 inf + 209
1.058 * * [simplify]: Extracting #7: cost 9 inf + 250
1.058 * * [simplify]: Extracting #8: cost 7 inf + 292
1.058 * * [simplify]: Extracting #9: cost 5 inf + 576
1.059 * * [simplify]: Extracting #10: cost 2 inf + 1224
1.059 * * [simplify]: Extracting #11: cost 0 inf + 1831
1.060 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
1.063 * * [progress]: iteration 1 / 4
1.063 * * * [progress]: picking best candidate
1.073 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
1.073 * * * [progress]: localizing error
1.114 * * * [progress]: generating rewritten candidates
1.114 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
1.130 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
1.200 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
1.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1.239 * * * [progress]: generating series expansions
1.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
1.245 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
1.245 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.246 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.247 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.247 * [taylor]: Taking taylor expansion of im in im
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.247 * [taylor]: Taking taylor expansion of re in im
1.247 * [backup-simplify]: Simplify re into re
1.248 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.249 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.249 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.249 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.250 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.250 * [taylor]: Taking taylor expansion of im in re
1.250 * [backup-simplify]: Simplify im into im
1.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.250 * [taylor]: Taking taylor expansion of re in re
1.250 * [backup-simplify]: Simplify 0 into 0
1.250 * [backup-simplify]: Simplify 1 into 1
1.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.250 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.251 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.251 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.251 * [taylor]: Taking taylor expansion of im in re
1.251 * [backup-simplify]: Simplify im into im
1.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.252 * [taylor]: Taking taylor expansion of re in re
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 1 into 1
1.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.252 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.252 * [backup-simplify]: Simplify (+ 0 0) into 0
1.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.253 * [taylor]: Taking taylor expansion of im in im
1.253 * [backup-simplify]: Simplify 0 into 0
1.253 * [backup-simplify]: Simplify 1 into 1
1.253 * [backup-simplify]: Simplify 0 into 0
1.254 * [taylor]: Taking taylor expansion of 0 in im
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify 1 into 1
1.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.255 * [backup-simplify]: Simplify (* 1 1) into 1
1.256 * [backup-simplify]: Simplify (+ 0 1) into 1
1.258 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.258 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.258 * [taylor]: Taking taylor expansion of 1/2 in im
1.258 * [backup-simplify]: Simplify 1/2 into 1/2
1.258 * [taylor]: Taking taylor expansion of im in im
1.258 * [backup-simplify]: Simplify 0 into 0
1.258 * [backup-simplify]: Simplify 1 into 1
1.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 0 into 0
1.261 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.262 * [backup-simplify]: Simplify (+ 0 0) into 0
1.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.263 * [taylor]: Taking taylor expansion of 0 in im
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.264 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.264 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.264 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.264 * [taylor]: Taking taylor expansion of re in im
1.265 * [backup-simplify]: Simplify re into re
1.265 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.265 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.265 * [taylor]: Taking taylor expansion of im in im
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify 1 into 1
1.265 * [backup-simplify]: Simplify (* 1 1) into 1
1.266 * [backup-simplify]: Simplify (/ 1 1) into 1
1.266 * [backup-simplify]: Simplify (+ 0 1) into 1
1.267 * [backup-simplify]: Simplify (sqrt 1) into 1
1.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.269 * [backup-simplify]: Simplify (+ 0 0) into 0
1.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.270 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.270 * [taylor]: Taking taylor expansion of re in re
1.270 * [backup-simplify]: Simplify 0 into 0
1.270 * [backup-simplify]: Simplify 1 into 1
1.270 * [backup-simplify]: Simplify (* 1 1) into 1
1.271 * [backup-simplify]: Simplify (/ 1 1) into 1
1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.271 * [taylor]: Taking taylor expansion of im in re
1.271 * [backup-simplify]: Simplify im into im
1.271 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.271 * [backup-simplify]: Simplify (+ 1 0) into 1
1.272 * [backup-simplify]: Simplify (sqrt 1) into 1
1.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.274 * [backup-simplify]: Simplify (+ 0 0) into 0
1.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.274 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.274 * [taylor]: Taking taylor expansion of re in re
1.275 * [backup-simplify]: Simplify 0 into 0
1.275 * [backup-simplify]: Simplify 1 into 1
1.275 * [backup-simplify]: Simplify (* 1 1) into 1
1.275 * [backup-simplify]: Simplify (/ 1 1) into 1
1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.275 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.275 * [taylor]: Taking taylor expansion of im in re
1.275 * [backup-simplify]: Simplify im into im
1.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.276 * [backup-simplify]: Simplify (+ 1 0) into 1
1.277 * [backup-simplify]: Simplify (sqrt 1) into 1
1.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.278 * [backup-simplify]: Simplify (+ 0 0) into 0
1.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.279 * [taylor]: Taking taylor expansion of 1 in im
1.279 * [backup-simplify]: Simplify 1 into 1
1.279 * [taylor]: Taking taylor expansion of 0 in im
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 1 into 1
1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.283 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.283 * [taylor]: Taking taylor expansion of 1/2 in im
1.283 * [backup-simplify]: Simplify 1/2 into 1/2
1.283 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.283 * [taylor]: Taking taylor expansion of im in im
1.283 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify 1 into 1
1.283 * [backup-simplify]: Simplify (* 1 1) into 1
1.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.288 * [backup-simplify]: Simplify (+ 0 0) into 0
1.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.289 * [taylor]: Taking taylor expansion of 0 in im
1.289 * [backup-simplify]: Simplify 0 into 0
1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.291 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.291 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.292 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.292 * [taylor]: Taking taylor expansion of re in im
1.292 * [backup-simplify]: Simplify re into re
1.292 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.292 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.292 * [taylor]: Taking taylor expansion of im in im
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 1 into 1
1.292 * [backup-simplify]: Simplify (* 1 1) into 1
1.293 * [backup-simplify]: Simplify (/ 1 1) into 1
1.293 * [backup-simplify]: Simplify (+ 0 1) into 1
1.294 * [backup-simplify]: Simplify (sqrt 1) into 1
1.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.295 * [backup-simplify]: Simplify (+ 0 0) into 0
1.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.296 * [taylor]: Taking taylor expansion of re in re
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify 1 into 1
1.297 * [backup-simplify]: Simplify (* 1 1) into 1
1.297 * [backup-simplify]: Simplify (/ 1 1) into 1
1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.297 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.297 * [taylor]: Taking taylor expansion of im in re
1.297 * [backup-simplify]: Simplify im into im
1.297 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.298 * [backup-simplify]: Simplify (+ 1 0) into 1
1.298 * [backup-simplify]: Simplify (sqrt 1) into 1
1.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.300 * [backup-simplify]: Simplify (+ 0 0) into 0
1.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.301 * [taylor]: Taking taylor expansion of re in re
1.301 * [backup-simplify]: Simplify 0 into 0
1.301 * [backup-simplify]: Simplify 1 into 1
1.301 * [backup-simplify]: Simplify (* 1 1) into 1
1.302 * [backup-simplify]: Simplify (/ 1 1) into 1
1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.302 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.302 * [taylor]: Taking taylor expansion of im in re
1.302 * [backup-simplify]: Simplify im into im
1.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.303 * [backup-simplify]: Simplify (+ 1 0) into 1
1.304 * [backup-simplify]: Simplify (sqrt 1) into 1
1.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.305 * [backup-simplify]: Simplify (+ 0 0) into 0
1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.306 * [taylor]: Taking taylor expansion of 1 in im
1.306 * [backup-simplify]: Simplify 1 into 1
1.306 * [taylor]: Taking taylor expansion of 0 in im
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify 1 into 1
1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.310 * [taylor]: Taking taylor expansion of 1/2 in im
1.310 * [backup-simplify]: Simplify 1/2 into 1/2
1.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.310 * [taylor]: Taking taylor expansion of im in im
1.310 * [backup-simplify]: Simplify 0 into 0
1.310 * [backup-simplify]: Simplify 1 into 1
1.310 * [backup-simplify]: Simplify (* 1 1) into 1
1.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.311 * [backup-simplify]: Simplify 0 into 0
1.311 * [backup-simplify]: Simplify 0 into 0
1.311 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.313 * [backup-simplify]: Simplify (+ 0 0) into 0
1.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.313 * [taylor]: Taking taylor expansion of 0 in im
1.313 * [backup-simplify]: Simplify 0 into 0
1.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.315 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
1.315 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
1.315 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
1.315 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
1.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.315 * [taylor]: Taking taylor expansion of im in im
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 1 into 1
1.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.315 * [taylor]: Taking taylor expansion of re in im
1.315 * [backup-simplify]: Simplify re into re
1.315 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.315 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.315 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.315 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.316 * [taylor]: Taking taylor expansion of re in im
1.316 * [backup-simplify]: Simplify re into re
1.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.316 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.316 * [taylor]: Taking taylor expansion of im in re
1.316 * [backup-simplify]: Simplify im into im
1.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.316 * [taylor]: Taking taylor expansion of re in re
1.316 * [backup-simplify]: Simplify 0 into 0
1.316 * [backup-simplify]: Simplify 1 into 1
1.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.316 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.317 * [backup-simplify]: Simplify (+ 0 0) into 0
1.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.317 * [taylor]: Taking taylor expansion of re in re
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 1 into 1
1.317 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
1.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.317 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.317 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.317 * [taylor]: Taking taylor expansion of im in re
1.317 * [backup-simplify]: Simplify im into im
1.317 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.317 * [taylor]: Taking taylor expansion of re in re
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 1 into 1
1.317 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.317 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.317 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.322 * [backup-simplify]: Simplify (+ 0 0) into 0
1.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.323 * [taylor]: Taking taylor expansion of re in re
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify 1 into 1
1.323 * [backup-simplify]: Simplify (- 0) into 0
1.323 * [backup-simplify]: Simplify (+ im 0) into im
1.323 * [taylor]: Taking taylor expansion of im in im
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify 1 into 1
1.324 * [backup-simplify]: Simplify 0 into 0
1.324 * [backup-simplify]: Simplify (- 1) into -1
1.324 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.324 * [taylor]: Taking taylor expansion of -1 in im
1.324 * [backup-simplify]: Simplify -1 into -1
1.324 * [backup-simplify]: Simplify -1 into -1
1.324 * [backup-simplify]: Simplify 1 into 1
1.325 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.325 * [backup-simplify]: Simplify (* 1 1) into 1
1.325 * [backup-simplify]: Simplify (+ 0 1) into 1
1.326 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.326 * [backup-simplify]: Simplify (- 0) into 0
1.326 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
1.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.326 * [taylor]: Taking taylor expansion of 1/2 in im
1.326 * [backup-simplify]: Simplify 1/2 into 1/2
1.326 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.326 * [taylor]: Taking taylor expansion of im in im
1.326 * [backup-simplify]: Simplify 0 into 0
1.326 * [backup-simplify]: Simplify 1 into 1
1.326 * [backup-simplify]: Simplify (/ 1 1) into 1
1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.329 * [backup-simplify]: Simplify (+ 0 0) into 0
1.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.329 * [backup-simplify]: Simplify (- 0) into 0
1.329 * [backup-simplify]: Simplify (+ 0 0) into 0
1.329 * [taylor]: Taking taylor expansion of 0 in im
1.329 * [backup-simplify]: Simplify 0 into 0
1.329 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 0 into 0
1.331 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
1.331 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
1.331 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
1.331 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.331 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.331 * [taylor]: Taking taylor expansion of re in im
1.331 * [backup-simplify]: Simplify re into re
1.331 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.331 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.331 * [taylor]: Taking taylor expansion of im in im
1.331 * [backup-simplify]: Simplify 0 into 0
1.331 * [backup-simplify]: Simplify 1 into 1
1.331 * [backup-simplify]: Simplify (* 1 1) into 1
1.332 * [backup-simplify]: Simplify (/ 1 1) into 1
1.332 * [backup-simplify]: Simplify (+ 0 1) into 1
1.332 * [backup-simplify]: Simplify (sqrt 1) into 1
1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.334 * [taylor]: Taking taylor expansion of re in im
1.334 * [backup-simplify]: Simplify re into re
1.334 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.334 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.334 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.334 * [taylor]: Taking taylor expansion of re in re
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 1 into 1
1.334 * [backup-simplify]: Simplify (* 1 1) into 1
1.334 * [backup-simplify]: Simplify (/ 1 1) into 1
1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.334 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.334 * [taylor]: Taking taylor expansion of im in re
1.334 * [backup-simplify]: Simplify im into im
1.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.335 * [backup-simplify]: Simplify (+ 1 0) into 1
1.335 * [backup-simplify]: Simplify (sqrt 1) into 1
1.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.336 * [backup-simplify]: Simplify (+ 0 0) into 0
1.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.337 * [taylor]: Taking taylor expansion of re in re
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (/ 1 1) into 1
1.337 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.337 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.337 * [taylor]: Taking taylor expansion of re in re
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (* 1 1) into 1
1.338 * [backup-simplify]: Simplify (/ 1 1) into 1
1.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.338 * [taylor]: Taking taylor expansion of im in re
1.338 * [backup-simplify]: Simplify im into im
1.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.338 * [backup-simplify]: Simplify (+ 1 0) into 1
1.338 * [backup-simplify]: Simplify (sqrt 1) into 1
1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.339 * [backup-simplify]: Simplify (+ 0 0) into 0
1.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.340 * [taylor]: Taking taylor expansion of re in re
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (/ 1 1) into 1
1.340 * [backup-simplify]: Simplify (- 1) into -1
1.341 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.341 * [taylor]: Taking taylor expansion of 0 in im
1.341 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.341 * [backup-simplify]: Simplify (- 0) into 0
1.341 * [backup-simplify]: Simplify (+ 0 0) into 0
1.341 * [taylor]: Taking taylor expansion of 0 in im
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.343 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.344 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.344 * [backup-simplify]: Simplify (- 0) into 0
1.344 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.344 * [taylor]: Taking taylor expansion of 1/2 in im
1.344 * [backup-simplify]: Simplify 1/2 into 1/2
1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.344 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.344 * [taylor]: Taking taylor expansion of im in im
1.344 * [backup-simplify]: Simplify 0 into 0
1.345 * [backup-simplify]: Simplify 1 into 1
1.345 * [backup-simplify]: Simplify (* 1 1) into 1
1.345 * [backup-simplify]: Simplify (/ 1 1) into 1
1.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.348 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.349 * [backup-simplify]: Simplify (+ 0 0) into 0
1.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.351 * [backup-simplify]: Simplify (- 0) into 0
1.351 * [backup-simplify]: Simplify (+ 0 0) into 0
1.351 * [taylor]: Taking taylor expansion of 0 in im
1.351 * [backup-simplify]: Simplify 0 into 0
1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.354 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify 0 into 0
1.355 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
1.355 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
1.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.355 * [taylor]: Taking taylor expansion of re in im
1.355 * [backup-simplify]: Simplify re into re
1.355 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.355 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.355 * [taylor]: Taking taylor expansion of re in im
1.355 * [backup-simplify]: Simplify re into re
1.355 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.356 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.356 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.356 * [taylor]: Taking taylor expansion of im in im
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.356 * [backup-simplify]: Simplify (* 1 1) into 1
1.357 * [backup-simplify]: Simplify (/ 1 1) into 1
1.357 * [backup-simplify]: Simplify (+ 0 1) into 1
1.357 * [backup-simplify]: Simplify (sqrt 1) into 1
1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.360 * [taylor]: Taking taylor expansion of re in re
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify 1 into 1
1.361 * [backup-simplify]: Simplify (/ 1 1) into 1
1.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.361 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.361 * [taylor]: Taking taylor expansion of re in re
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify 1 into 1
1.362 * [backup-simplify]: Simplify (* 1 1) into 1
1.362 * [backup-simplify]: Simplify (/ 1 1) into 1
1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.362 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.362 * [taylor]: Taking taylor expansion of im in re
1.362 * [backup-simplify]: Simplify im into im
1.362 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.362 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.363 * [backup-simplify]: Simplify (+ 1 0) into 1
1.363 * [backup-simplify]: Simplify (sqrt 1) into 1
1.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.366 * [taylor]: Taking taylor expansion of re in re
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify 1 into 1
1.366 * [backup-simplify]: Simplify (/ 1 1) into 1
1.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.366 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.366 * [taylor]: Taking taylor expansion of re in re
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify 1 into 1
1.367 * [backup-simplify]: Simplify (* 1 1) into 1
1.367 * [backup-simplify]: Simplify (/ 1 1) into 1
1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.367 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.367 * [taylor]: Taking taylor expansion of im in re
1.367 * [backup-simplify]: Simplify im into im
1.368 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.368 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.368 * [backup-simplify]: Simplify (+ 1 0) into 1
1.369 * [backup-simplify]: Simplify (sqrt 1) into 1
1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.370 * [backup-simplify]: Simplify (+ 0 0) into 0
1.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.371 * [backup-simplify]: Simplify (+ 1 1) into 2
1.371 * [taylor]: Taking taylor expansion of 2 in im
1.371 * [backup-simplify]: Simplify 2 into 2
1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.373 * [backup-simplify]: Simplify (+ 0 0) into 0
1.373 * [taylor]: Taking taylor expansion of 0 in im
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 2 into 2
1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.377 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.377 * [taylor]: Taking taylor expansion of 1/2 in im
1.377 * [backup-simplify]: Simplify 1/2 into 1/2
1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.377 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.377 * [taylor]: Taking taylor expansion of im in im
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 1 into 1
1.378 * [backup-simplify]: Simplify (* 1 1) into 1
1.378 * [backup-simplify]: Simplify (/ 1 1) into 1
1.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.384 * [backup-simplify]: Simplify (+ 0 0) into 0
1.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.385 * [backup-simplify]: Simplify (+ 0 0) into 0
1.385 * [taylor]: Taking taylor expansion of 0 in im
1.385 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
1.388 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
1.388 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
1.388 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
1.388 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.388 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.388 * [taylor]: Taking taylor expansion of im in im
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.389 * [taylor]: Taking taylor expansion of re in im
1.389 * [backup-simplify]: Simplify re into re
1.389 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.389 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.389 * [taylor]: Taking taylor expansion of im in re
1.389 * [backup-simplify]: Simplify im into im
1.389 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.389 * [taylor]: Taking taylor expansion of re in re
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 1 into 1
1.389 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.389 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.389 * [taylor]: Taking taylor expansion of im in re
1.389 * [backup-simplify]: Simplify im into im
1.389 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.389 * [taylor]: Taking taylor expansion of re in re
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 1 into 1
1.389 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.389 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.389 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.389 * [taylor]: Taking taylor expansion of im in im
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 1 into 1
1.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.390 * [backup-simplify]: Simplify (+ 0 0) into 0
1.390 * [taylor]: Taking taylor expansion of 0 in im
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.391 * [backup-simplify]: Simplify (* 1 1) into 1
1.391 * [backup-simplify]: Simplify (+ 0 1) into 1
1.391 * [taylor]: Taking taylor expansion of 1 in im
1.391 * [backup-simplify]: Simplify 1 into 1
1.391 * [backup-simplify]: Simplify 1 into 1
1.391 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify (* 1 1) into 1
1.392 * [backup-simplify]: Simplify 1 into 1
1.393 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.394 * [backup-simplify]: Simplify (+ 0 0) into 0
1.394 * [taylor]: Taking taylor expansion of 0 in im
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
1.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.397 * [backup-simplify]: Simplify (+ 0 0) into 0
1.397 * [taylor]: Taking taylor expansion of 0 in im
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
1.398 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
1.398 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
1.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.398 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.398 * [taylor]: Taking taylor expansion of re in im
1.398 * [backup-simplify]: Simplify re into re
1.398 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.398 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.398 * [taylor]: Taking taylor expansion of im in im
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify 1 into 1
1.399 * [backup-simplify]: Simplify (* 1 1) into 1
1.399 * [backup-simplify]: Simplify (/ 1 1) into 1
1.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.399 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.399 * [taylor]: Taking taylor expansion of re in re
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (* 1 1) into 1
1.400 * [backup-simplify]: Simplify (/ 1 1) into 1
1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.400 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.400 * [taylor]: Taking taylor expansion of im in re
1.400 * [backup-simplify]: Simplify im into im
1.400 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.400 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.400 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.400 * [taylor]: Taking taylor expansion of re in re
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 1 into 1
1.401 * [backup-simplify]: Simplify (* 1 1) into 1
1.401 * [backup-simplify]: Simplify (/ 1 1) into 1
1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.401 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.401 * [taylor]: Taking taylor expansion of im in re
1.401 * [backup-simplify]: Simplify im into im
1.401 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.402 * [backup-simplify]: Simplify (+ 1 0) into 1
1.402 * [taylor]: Taking taylor expansion of 1 in im
1.402 * [backup-simplify]: Simplify 1 into 1
1.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.404 * [backup-simplify]: Simplify (+ 0 0) into 0
1.404 * [taylor]: Taking taylor expansion of 0 in im
1.404 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.407 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.407 * [taylor]: Taking taylor expansion of im in im
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 1 into 1
1.407 * [backup-simplify]: Simplify (* 1 1) into 1
1.408 * [backup-simplify]: Simplify (/ 1 1) into 1
1.408 * [backup-simplify]: Simplify 1 into 1
1.408 * [backup-simplify]: Simplify 1 into 1
1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.410 * [backup-simplify]: Simplify (+ 0 0) into 0
1.410 * [taylor]: Taking taylor expansion of 0 in im
1.410 * [backup-simplify]: Simplify 0 into 0
1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.412 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.415 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.416 * [backup-simplify]: Simplify (+ 0 0) into 0
1.416 * [taylor]: Taking taylor expansion of 0 in im
1.416 * [backup-simplify]: Simplify 0 into 0
1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
1.419 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
1.419 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.419 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.419 * [taylor]: Taking taylor expansion of re in im
1.419 * [backup-simplify]: Simplify re into re
1.419 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.419 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.419 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.419 * [taylor]: Taking taylor expansion of im in im
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.420 * [backup-simplify]: Simplify (* 1 1) into 1
1.420 * [backup-simplify]: Simplify (/ 1 1) into 1
1.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.420 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.420 * [taylor]: Taking taylor expansion of re in re
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.421 * [backup-simplify]: Simplify (* 1 1) into 1
1.421 * [backup-simplify]: Simplify (/ 1 1) into 1
1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.421 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.421 * [taylor]: Taking taylor expansion of im in re
1.421 * [backup-simplify]: Simplify im into im
1.421 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.421 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.422 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.422 * [taylor]: Taking taylor expansion of re in re
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 1 into 1
1.422 * [backup-simplify]: Simplify (* 1 1) into 1
1.422 * [backup-simplify]: Simplify (/ 1 1) into 1
1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.422 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.422 * [taylor]: Taking taylor expansion of im in re
1.423 * [backup-simplify]: Simplify im into im
1.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.423 * [backup-simplify]: Simplify (+ 1 0) into 1
1.423 * [taylor]: Taking taylor expansion of 1 in im
1.423 * [backup-simplify]: Simplify 1 into 1
1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.425 * [backup-simplify]: Simplify (+ 0 0) into 0
1.425 * [taylor]: Taking taylor expansion of 0 in im
1.425 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.427 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.427 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.427 * [taylor]: Taking taylor expansion of im in im
1.427 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify 1 into 1
1.427 * [backup-simplify]: Simplify (* 1 1) into 1
1.427 * [backup-simplify]: Simplify (/ 1 1) into 1
1.427 * [backup-simplify]: Simplify 1 into 1
1.427 * [backup-simplify]: Simplify 1 into 1
1.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.429 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.429 * [backup-simplify]: Simplify (+ 0 0) into 0
1.429 * [taylor]: Taking taylor expansion of 0 in im
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.431 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.432 * [backup-simplify]: Simplify (+ 0 0) into 0
1.432 * [taylor]: Taking taylor expansion of 0 in im
1.432 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
1.434 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1.434 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)))
1.434 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0
1.434 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
1.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.434 * [taylor]: Taking taylor expansion of 2.0 in im
1.434 * [backup-simplify]: Simplify 2.0 into 2.0
1.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.435 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
1.435 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.435 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.435 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.435 * [taylor]: Taking taylor expansion of im in im
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 1 into 1
1.435 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.435 * [taylor]: Taking taylor expansion of re in im
1.435 * [backup-simplify]: Simplify re into re
1.435 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.435 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.435 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.435 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.435 * [backup-simplify]: Simplify (+ 0 0) into 0
1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.435 * [taylor]: Taking taylor expansion of re in im
1.435 * [backup-simplify]: Simplify re into re
1.436 * [backup-simplify]: Simplify (- re) into (- re)
1.436 * [backup-simplify]: Simplify (+ re (- re)) into 0
1.436 * [backup-simplify]: Simplify (- 0) into 0
1.436 * [backup-simplify]: Simplify (+ 0 0) into 0
1.436 * [backup-simplify]: Simplify (* 1 1) into 1
1.437 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.437 * [backup-simplify]: Simplify (+ 1 0) into 1
1.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.437 * [backup-simplify]: Simplify (- 0) into 0
1.438 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
1.438 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
1.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.438 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.439 * [backup-simplify]: Simplify (+ 0 0) into 0
1.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.439 * [backup-simplify]: Simplify (- 0) into 0
1.439 * [backup-simplify]: Simplify (+ 0 0) into 0
1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
1.439 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
1.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.439 * [taylor]: Taking taylor expansion of 2.0 in re
1.439 * [backup-simplify]: Simplify 2.0 into 2.0
1.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.440 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
1.440 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.440 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.440 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.440 * [taylor]: Taking taylor expansion of im in re
1.440 * [backup-simplify]: Simplify im into im
1.440 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.440 * [taylor]: Taking taylor expansion of re in re
1.440 * [backup-simplify]: Simplify 0 into 0
1.440 * [backup-simplify]: Simplify 1 into 1
1.440 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.441 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.441 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.441 * [backup-simplify]: Simplify (+ 0 0) into 0
1.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.441 * [taylor]: Taking taylor expansion of re in re
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify 1 into 1
1.441 * [backup-simplify]: Simplify (- 0) into 0
1.441 * [backup-simplify]: Simplify (+ im 0) into im
1.441 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
1.442 * [backup-simplify]: Simplify (- 1) into -1
1.442 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.442 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
1.442 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
1.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.442 * [taylor]: Taking taylor expansion of 2.0 in re
1.442 * [backup-simplify]: Simplify 2.0 into 2.0
1.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.443 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
1.443 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.443 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.443 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.443 * [taylor]: Taking taylor expansion of im in re
1.443 * [backup-simplify]: Simplify im into im
1.443 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.443 * [taylor]: Taking taylor expansion of re in re
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.443 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.443 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.443 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.443 * [backup-simplify]: Simplify (+ 0 0) into 0
1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.444 * [taylor]: Taking taylor expansion of re in re
1.444 * [backup-simplify]: Simplify 0 into 0
1.444 * [backup-simplify]: Simplify 1 into 1
1.444 * [backup-simplify]: Simplify (- 0) into 0
1.444 * [backup-simplify]: Simplify (+ im 0) into im
1.444 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
1.444 * [backup-simplify]: Simplify (- 1) into -1
1.444 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.444 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
1.445 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
1.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
1.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.445 * [taylor]: Taking taylor expansion of 2.0 in im
1.445 * [backup-simplify]: Simplify 2.0 into 2.0
1.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.447 * [taylor]: Taking taylor expansion of (sqrt im) in im
1.447 * [taylor]: Taking taylor expansion of im in im
1.447 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.448 * [backup-simplify]: Simplify (sqrt 0) into 0
1.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.450 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
1.451 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.451 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
1.451 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
1.451 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
1.451 * [taylor]: Taking taylor expansion of 1/2 in im
1.451 * [backup-simplify]: Simplify 1/2 into 1/2
1.451 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
1.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.451 * [taylor]: Taking taylor expansion of 2.0 in im
1.451 * [backup-simplify]: Simplify 2.0 into 2.0
1.452 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
1.452 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.452 * [taylor]: Taking taylor expansion of im in im
1.452 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify 1 into 1
1.452 * [backup-simplify]: Simplify (/ 1 1) into 1
1.453 * [backup-simplify]: Simplify (sqrt 0) into 0
1.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.456 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.460 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.461 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
1.462 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
1.467 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.469 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
1.471 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.474 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.478 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.479 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.484 * [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)))))))
1.485 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
1.485 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
1.485 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
1.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.485 * [taylor]: Taking taylor expansion of 2.0 in im
1.485 * [backup-simplify]: Simplify 2.0 into 2.0
1.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.486 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
1.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
1.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.486 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.486 * [taylor]: Taking taylor expansion of re in im
1.486 * [backup-simplify]: Simplify re into re
1.486 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.486 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.487 * [taylor]: Taking taylor expansion of im in im
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify (* 1 1) into 1
1.487 * [backup-simplify]: Simplify (/ 1 1) into 1
1.488 * [backup-simplify]: Simplify (+ 0 1) into 1
1.488 * [backup-simplify]: Simplify (sqrt 1) into 1
1.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.490 * [backup-simplify]: Simplify (+ 0 0) into 0
1.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.491 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.491 * [taylor]: Taking taylor expansion of re in im
1.491 * [backup-simplify]: Simplify re into re
1.491 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.491 * [backup-simplify]: Simplify (+ 1 0) into 1
1.492 * [backup-simplify]: Simplify (sqrt 0) into 0
1.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.493 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
1.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.493 * [taylor]: Taking taylor expansion of 2.0 in re
1.493 * [backup-simplify]: Simplify 2.0 into 2.0
1.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.494 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
1.494 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.494 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.494 * [taylor]: Taking taylor expansion of re in re
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.495 * [backup-simplify]: Simplify (* 1 1) into 1
1.495 * [backup-simplify]: Simplify (/ 1 1) into 1
1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.495 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.495 * [taylor]: Taking taylor expansion of im in re
1.495 * [backup-simplify]: Simplify im into im
1.495 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.495 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.495 * [backup-simplify]: Simplify (+ 1 0) into 1
1.496 * [backup-simplify]: Simplify (sqrt 1) into 1
1.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.497 * [backup-simplify]: Simplify (+ 0 0) into 0
1.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.497 * [taylor]: Taking taylor expansion of re in re
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (/ 1 1) into 1
1.497 * [backup-simplify]: Simplify (- 1) into -1
1.498 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.498 * [backup-simplify]: Simplify (- 0) into 0
1.499 * [backup-simplify]: Simplify (+ 0 0) into 0
1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.500 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.501 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.501 * [backup-simplify]: Simplify (- 0) into 0
1.501 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.502 * [backup-simplify]: Simplify (sqrt 0) into 0
1.502 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
1.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
1.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.502 * [taylor]: Taking taylor expansion of 2.0 in re
1.502 * [backup-simplify]: Simplify 2.0 into 2.0
1.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.503 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
1.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.503 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.503 * [taylor]: Taking taylor expansion of re in re
1.503 * [backup-simplify]: Simplify 0 into 0
1.503 * [backup-simplify]: Simplify 1 into 1
1.503 * [backup-simplify]: Simplify (* 1 1) into 1
1.503 * [backup-simplify]: Simplify (/ 1 1) into 1
1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.504 * [taylor]: Taking taylor expansion of im in re
1.504 * [backup-simplify]: Simplify im into im
1.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.504 * [backup-simplify]: Simplify (+ 1 0) into 1
1.504 * [backup-simplify]: Simplify (sqrt 1) into 1
1.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.506 * [taylor]: Taking taylor expansion of re in re
1.506 * [backup-simplify]: Simplify 0 into 0
1.506 * [backup-simplify]: Simplify 1 into 1
1.506 * [backup-simplify]: Simplify (/ 1 1) into 1
1.506 * [backup-simplify]: Simplify (- 1) into -1
1.506 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.507 * [backup-simplify]: Simplify (- 0) into 0
1.507 * [backup-simplify]: Simplify (+ 0 0) into 0
1.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.508 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.510 * [backup-simplify]: Simplify (- 0) into 0
1.510 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.510 * [backup-simplify]: Simplify (sqrt 0) into 0
1.511 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
1.511 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
1.511 * [taylor]: Taking taylor expansion of 0 in im
1.511 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
1.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
1.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
1.512 * [taylor]: Taking taylor expansion of +nan.0 in im
1.512 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.512 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
1.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.512 * [taylor]: Taking taylor expansion of 2.0 in im
1.512 * [backup-simplify]: Simplify 2.0 into 2.0
1.512 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.512 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.512 * [taylor]: Taking taylor expansion of im in im
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify 1 into 1
1.513 * [backup-simplify]: Simplify (* 1 1) into 1
1.513 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.515 * [backup-simplify]: Simplify (- 0) into 0
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.516 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.517 * [backup-simplify]: Simplify (+ 0 0) into 0
1.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.518 * [backup-simplify]: Simplify (- 0) into 0
1.518 * [backup-simplify]: Simplify (+ 0 0) into 0
1.519 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
1.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.520 * [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))))
1.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
1.520 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
1.520 * [taylor]: Taking taylor expansion of +nan.0 in im
1.520 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
1.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.520 * [taylor]: Taking taylor expansion of 2.0 in im
1.520 * [backup-simplify]: Simplify 2.0 into 2.0
1.520 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.521 * [taylor]: Taking taylor expansion of (pow im 4) in im
1.521 * [taylor]: Taking taylor expansion of im in im
1.521 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify 1 into 1
1.521 * [backup-simplify]: Simplify (* 1 1) into 1
1.522 * [backup-simplify]: Simplify (* 1 1) into 1
1.522 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.535 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
1.536 * [backup-simplify]: Simplify (- 0) into 0
1.536 * [backup-simplify]: Simplify 0 into 0
1.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.540 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
1.540 * [backup-simplify]: Simplify (- 0) into 0
1.540 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 0 into 0
1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.543 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.544 * [backup-simplify]: Simplify (+ 0 0) into 0
1.545 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.547 * [backup-simplify]: Simplify (- 0) into 0
1.547 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
1.548 * [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)))))
1.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.551 * [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))))))
1.551 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
1.551 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
1.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
1.551 * [taylor]: Taking taylor expansion of +nan.0 in im
1.551 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
1.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.551 * [taylor]: Taking taylor expansion of 2.0 in im
1.551 * [backup-simplify]: Simplify 2.0 into 2.0
1.552 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.552 * [taylor]: Taking taylor expansion of (pow im 4) in im
1.552 * [taylor]: Taking taylor expansion of im in im
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (* 1 1) into 1
1.553 * [backup-simplify]: Simplify (* 1 1) into 1
1.554 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
1.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
1.554 * [taylor]: Taking taylor expansion of +nan.0 in im
1.554 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
1.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.554 * [taylor]: Taking taylor expansion of 2.0 in im
1.554 * [backup-simplify]: Simplify 2.0 into 2.0
1.555 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.556 * [taylor]: Taking taylor expansion of (pow im 6) in im
1.556 * [taylor]: Taking taylor expansion of im in im
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 1 into 1
1.556 * [backup-simplify]: Simplify (* 1 1) into 1
1.556 * [backup-simplify]: Simplify (* 1 1) into 1
1.557 * [backup-simplify]: Simplify (* 1 1) into 1
1.558 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.573 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
1.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
1.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
1.602 * [backup-simplify]: Simplify (- 0) into 0
1.602 * [backup-simplify]: Simplify (+ 0 0) into 0
1.602 * [backup-simplify]: Simplify (- 0) into 0
1.602 * [backup-simplify]: Simplify 0 into 0
1.602 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
1.603 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
1.603 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
1.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.603 * [taylor]: Taking taylor expansion of 2.0 in im
1.603 * [backup-simplify]: Simplify 2.0 into 2.0
1.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
1.605 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.605 * [taylor]: Taking taylor expansion of re in im
1.605 * [backup-simplify]: Simplify re into re
1.605 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.605 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.605 * [taylor]: Taking taylor expansion of re in im
1.605 * [backup-simplify]: Simplify re into re
1.605 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.605 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.605 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.605 * [taylor]: Taking taylor expansion of im in im
1.605 * [backup-simplify]: Simplify 0 into 0
1.605 * [backup-simplify]: Simplify 1 into 1
1.606 * [backup-simplify]: Simplify (* 1 1) into 1
1.606 * [backup-simplify]: Simplify (/ 1 1) into 1
1.607 * [backup-simplify]: Simplify (+ 0 1) into 1
1.607 * [backup-simplify]: Simplify (sqrt 1) into 1
1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.609 * [backup-simplify]: Simplify (+ 0 0) into 0
1.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.610 * [backup-simplify]: Simplify (+ 0 1) into 1
1.610 * [backup-simplify]: Simplify (sqrt 0) into 0
1.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.612 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
1.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.612 * [taylor]: Taking taylor expansion of 2.0 in re
1.612 * [backup-simplify]: Simplify 2.0 into 2.0
1.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
1.613 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.613 * [taylor]: Taking taylor expansion of re in re
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [backup-simplify]: Simplify 1 into 1
1.614 * [backup-simplify]: Simplify (/ 1 1) into 1
1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.614 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.614 * [taylor]: Taking taylor expansion of re in re
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.615 * [backup-simplify]: Simplify (* 1 1) into 1
1.615 * [backup-simplify]: Simplify (/ 1 1) into 1
1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.615 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.615 * [taylor]: Taking taylor expansion of im in re
1.615 * [backup-simplify]: Simplify im into im
1.615 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.616 * [backup-simplify]: Simplify (+ 1 0) into 1
1.616 * [backup-simplify]: Simplify (sqrt 1) into 1
1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.618 * [backup-simplify]: Simplify (+ 0 0) into 0
1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.620 * [backup-simplify]: Simplify (+ 1 1) into 2
1.620 * [backup-simplify]: Simplify (sqrt 0) into 0
1.622 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
1.622 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
1.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
1.622 * [taylor]: Taking taylor expansion of 2.0 in re
1.622 * [backup-simplify]: Simplify 2.0 into 2.0
1.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.624 * [taylor]: Taking taylor expansion of re in re
1.624 * [backup-simplify]: Simplify 0 into 0
1.624 * [backup-simplify]: Simplify 1 into 1
1.624 * [backup-simplify]: Simplify (/ 1 1) into 1
1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.625 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.625 * [taylor]: Taking taylor expansion of re in re
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [backup-simplify]: Simplify (* 1 1) into 1
1.626 * [backup-simplify]: Simplify (/ 1 1) into 1
1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.626 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.626 * [taylor]: Taking taylor expansion of im in re
1.626 * [backup-simplify]: Simplify im into im
1.626 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.626 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.626 * [backup-simplify]: Simplify (+ 1 0) into 1
1.627 * [backup-simplify]: Simplify (sqrt 1) into 1
1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.629 * [backup-simplify]: Simplify (+ 0 0) into 0
1.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.630 * [backup-simplify]: Simplify (+ 1 1) into 2
1.630 * [backup-simplify]: Simplify (sqrt 0) into 0
1.631 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
1.632 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
1.632 * [taylor]: Taking taylor expansion of 0 in im
1.632 * [backup-simplify]: Simplify 0 into 0
1.634 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
1.634 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
1.635 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.635 * [taylor]: Taking taylor expansion of +nan.0 in im
1.635 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.635 * [taylor]: Taking taylor expansion of 2.0 in im
1.635 * [backup-simplify]: Simplify 2.0 into 2.0
1.635 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.636 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.637 * [backup-simplify]: Simplify (+ 0 0) into 0
1.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.644 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
1.644 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
1.644 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.644 * [taylor]: Taking taylor expansion of +nan.0 in im
1.644 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.645 * [taylor]: Taking taylor expansion of 2.0 in im
1.645 * [backup-simplify]: Simplify 2.0 into 2.0
1.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.647 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
1.648 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.650 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.650 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.653 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.655 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.655 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.657 * [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))
1.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.660 * [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))))))
1.660 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
1.660 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
1.660 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.660 * [taylor]: Taking taylor expansion of +nan.0 in im
1.660 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.660 * [taylor]: Taking taylor expansion of 2.0 in im
1.660 * [backup-simplify]: Simplify 2.0 into 2.0
1.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.661 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
1.662 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
1.662 * [taylor]: Taking taylor expansion of +nan.0 in im
1.662 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.662 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
1.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.662 * [taylor]: Taking taylor expansion of 2.0 in im
1.662 * [backup-simplify]: Simplify 2.0 into 2.0
1.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.663 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.663 * [taylor]: Taking taylor expansion of im in im
1.663 * [backup-simplify]: Simplify 0 into 0
1.663 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (* 1 1) into 1
1.664 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.667 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.667 * [backup-simplify]: Simplify (- 0) into 0
1.668 * [backup-simplify]: Simplify (+ 0 0) into 0
1.668 * [backup-simplify]: Simplify (- 0) into 0
1.668 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
1.671 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.672 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.673 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.674 * [backup-simplify]: Simplify (- 0) into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.678 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
1.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
1.684 * [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))))))
1.684 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
1.684 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
1.685 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
1.685 * [taylor]: Taking taylor expansion of +nan.0 in im
1.685 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.685 * [taylor]: Taking taylor expansion of 2.0 in im
1.685 * [backup-simplify]: Simplify 2.0 into 2.0
1.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
1.686 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
1.686 * [taylor]: Taking taylor expansion of +nan.0 in im
1.686 * [backup-simplify]: Simplify +nan.0 into +nan.0
1.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
1.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
1.686 * [taylor]: Taking taylor expansion of 2.0 in im
1.686 * [backup-simplify]: Simplify 2.0 into 2.0
1.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
1.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
1.687 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.687 * [taylor]: Taking taylor expansion of im in im
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.688 * [backup-simplify]: Simplify (* 1 1) into 1
1.689 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
1.691 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
1.691 * [backup-simplify]: Simplify (- 0) into 0
1.692 * [backup-simplify]: Simplify (+ 0 0) into 0
1.692 * [backup-simplify]: Simplify (- 0) into 0
1.692 * [backup-simplify]: Simplify 0 into 0
1.693 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
1.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.697 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
1.698 * [backup-simplify]: Simplify (- 0) into 0
1.700 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
1.702 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
1.703 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
1.708 * [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))))))))
1.708 * * * [progress]: simplifying candidates
1.711 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (- (+ (* +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))))))))
1.713 * * [simplify]: iteration 0: 114 enodes
1.744 * * [simplify]: iteration 1: 276 enodes
1.843 * * [simplify]: iteration 2: 1287 enodes
2.310 * * [simplify]: iteration complete: 5001 enodes
2.311 * * [simplify]: Extracting #0: cost 57 inf + 0
2.312 * * [simplify]: Extracting #1: cost 381 inf + 47
2.321 * * [simplify]: Extracting #2: cost 1631 inf + 5958
2.361 * * [simplify]: Extracting #3: cost 1541 inf + 70962
2.415 * * [simplify]: Extracting #4: cost 402 inf + 255681
2.505 * * [simplify]: Extracting #5: cost 101 inf + 327511
2.574 * * [simplify]: Extracting #6: cost 7 inf + 351748
2.651 * * [simplify]: Extracting #7: cost 0 inf + 353759
2.725 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (+ (* re re) (* (sqrt (+ (* re re) (* im im))) (+ re (sqrt (+ (* re re) (* im im))))))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) im) (* (* im im) im)))
  (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (- re im) (+ re im))
  (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) 2.0))
  (sqrt (+ (* re re) (* (sqrt (+ (* re re) (* im im))) (+ re (sqrt (+ (* re re) (* im im)))))))
  (sqrt (* (+ (* im im) 0) 2.0))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (- (* (* (sqrt 2.0) +nan.0) (- (* re im) (- (* im im) im))))
  0
  (+ (- (* (sqrt 2.0) +nan.0)) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))))
2.732 * * * [progress]: adding candidates to table
3.112 * * [progress]: iteration 2 / 4
3.112 * * * [progress]: picking best candidate
3.148 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
3.148 * * * [progress]: localizing error
3.200 * * * [progress]: generating rewritten candidates
3.200 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.206 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1)
3.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
3.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2)
3.494 * * * [progress]: generating series expansions
3.495 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.495 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.495 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.495 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.495 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.495 * [taylor]: Taking taylor expansion of im in im
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 1 into 1
3.495 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.495 * [taylor]: Taking taylor expansion of re in im
3.495 * [backup-simplify]: Simplify re into re
3.495 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.496 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.496 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.496 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.497 * [backup-simplify]: Simplify (+ 0 0) into 0
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.497 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.497 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.497 * [taylor]: Taking taylor expansion of im in re
3.497 * [backup-simplify]: Simplify im into im
3.497 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.497 * [taylor]: Taking taylor expansion of re in re
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.497 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.497 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.498 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.498 * [backup-simplify]: Simplify (+ 0 0) into 0
3.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.498 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.499 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.499 * [taylor]: Taking taylor expansion of im in re
3.499 * [backup-simplify]: Simplify im into im
3.499 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.499 * [taylor]: Taking taylor expansion of re in re
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify 1 into 1
3.499 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.499 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.499 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.500 * [backup-simplify]: Simplify (+ 0 0) into 0
3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.500 * [taylor]: Taking taylor expansion of im in im
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 1 into 1
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [taylor]: Taking taylor expansion of 0 in im
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 1 into 1
3.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.502 * [backup-simplify]: Simplify (* 1 1) into 1
3.502 * [backup-simplify]: Simplify (+ 0 1) into 1
3.503 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.503 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.503 * [taylor]: Taking taylor expansion of 1/2 in im
3.503 * [backup-simplify]: Simplify 1/2 into 1/2
3.503 * [taylor]: Taking taylor expansion of im in im
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.504 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.504 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.507 * [taylor]: Taking taylor expansion of 0 in im
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.508 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.508 * [taylor]: Taking taylor expansion of re in im
3.509 * [backup-simplify]: Simplify re into re
3.509 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.509 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.509 * [taylor]: Taking taylor expansion of im in im
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (* 1 1) into 1
3.510 * [backup-simplify]: Simplify (/ 1 1) into 1
3.510 * [backup-simplify]: Simplify (+ 0 1) into 1
3.511 * [backup-simplify]: Simplify (sqrt 1) into 1
3.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify (+ 0 0) into 0
3.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.513 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.513 * [taylor]: Taking taylor expansion of re in re
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.514 * [backup-simplify]: Simplify (* 1 1) into 1
3.514 * [backup-simplify]: Simplify (/ 1 1) into 1
3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.514 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.514 * [taylor]: Taking taylor expansion of im in re
3.514 * [backup-simplify]: Simplify im into im
3.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.515 * [backup-simplify]: Simplify (+ 1 0) into 1
3.515 * [backup-simplify]: Simplify (sqrt 1) into 1
3.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.517 * [backup-simplify]: Simplify (+ 0 0) into 0
3.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.518 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.518 * [taylor]: Taking taylor expansion of re in re
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 1 into 1
3.519 * [backup-simplify]: Simplify (* 1 1) into 1
3.519 * [backup-simplify]: Simplify (/ 1 1) into 1
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.519 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.519 * [taylor]: Taking taylor expansion of im in re
3.519 * [backup-simplify]: Simplify im into im
3.519 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.520 * [backup-simplify]: Simplify (+ 1 0) into 1
3.520 * [backup-simplify]: Simplify (sqrt 1) into 1
3.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.523 * [taylor]: Taking taylor expansion of 1 in im
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of 0 in im
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.526 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.527 * [taylor]: Taking taylor expansion of 1/2 in im
3.527 * [backup-simplify]: Simplify 1/2 into 1/2
3.527 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.527 * [taylor]: Taking taylor expansion of im in im
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify 1 into 1
3.527 * [backup-simplify]: Simplify (* 1 1) into 1
3.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.532 * [backup-simplify]: Simplify (+ 0 0) into 0
3.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.532 * [taylor]: Taking taylor expansion of 0 in im
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [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
3.536 * [backup-simplify]: Simplify 0 into 0
3.536 * [backup-simplify]: Simplify 0 into 0
3.536 * [backup-simplify]: Simplify 0 into 0
3.537 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.537 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.537 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.537 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.537 * [taylor]: Taking taylor expansion of re in im
3.537 * [backup-simplify]: Simplify re into re
3.537 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.537 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.537 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.537 * [taylor]: Taking taylor expansion of im in im
3.537 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.538 * [backup-simplify]: Simplify (* 1 1) into 1
3.538 * [backup-simplify]: Simplify (/ 1 1) into 1
3.538 * [backup-simplify]: Simplify (+ 0 1) into 1
3.539 * [backup-simplify]: Simplify (sqrt 1) into 1
3.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.540 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.540 * [taylor]: Taking taylor expansion of re in re
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (* 1 1) into 1
3.541 * [backup-simplify]: Simplify (/ 1 1) into 1
3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.541 * [taylor]: Taking taylor expansion of im in re
3.541 * [backup-simplify]: Simplify im into im
3.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.541 * [backup-simplify]: Simplify (+ 1 0) into 1
3.542 * [backup-simplify]: Simplify (sqrt 1) into 1
3.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ 0 0) into 0
3.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.543 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.543 * [taylor]: Taking taylor expansion of re in re
3.543 * [backup-simplify]: Simplify 0 into 0
3.543 * [backup-simplify]: Simplify 1 into 1
3.543 * [backup-simplify]: Simplify (* 1 1) into 1
3.544 * [backup-simplify]: Simplify (/ 1 1) into 1
3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.544 * [taylor]: Taking taylor expansion of im in re
3.544 * [backup-simplify]: Simplify im into im
3.544 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.544 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.544 * [backup-simplify]: Simplify (+ 1 0) into 1
3.544 * [backup-simplify]: Simplify (sqrt 1) into 1
3.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.546 * [taylor]: Taking taylor expansion of 1 in im
3.546 * [backup-simplify]: Simplify 1 into 1
3.546 * [taylor]: Taking taylor expansion of 0 in im
3.546 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify 1 into 1
3.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.548 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.548 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.548 * [taylor]: Taking taylor expansion of 1/2 in im
3.548 * [backup-simplify]: Simplify 1/2 into 1/2
3.548 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.548 * [taylor]: Taking taylor expansion of im in im
3.548 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify 1 into 1
3.548 * [backup-simplify]: Simplify (* 1 1) into 1
3.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.551 * [backup-simplify]: Simplify (+ 0 0) into 0
3.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.551 * [taylor]: Taking taylor expansion of 0 in im
3.551 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1)
3.553 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.553 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.553 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.553 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.553 * [taylor]: Taking taylor expansion of im in im
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.553 * [taylor]: Taking taylor expansion of re in im
3.553 * [backup-simplify]: Simplify re into re
3.553 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.553 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.553 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.553 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.554 * [backup-simplify]: Simplify (+ 0 0) into 0
3.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.554 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.554 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.554 * [taylor]: Taking taylor expansion of im in re
3.554 * [backup-simplify]: Simplify im into im
3.554 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.554 * [taylor]: Taking taylor expansion of re in re
3.554 * [backup-simplify]: Simplify 0 into 0
3.554 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.554 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.554 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.554 * [backup-simplify]: Simplify (+ 0 0) into 0
3.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.555 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.555 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.555 * [taylor]: Taking taylor expansion of im in re
3.555 * [backup-simplify]: Simplify im into im
3.555 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.555 * [taylor]: Taking taylor expansion of re in re
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.555 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.555 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.555 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.555 * [backup-simplify]: Simplify (+ 0 0) into 0
3.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.555 * [taylor]: Taking taylor expansion of im in im
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [taylor]: Taking taylor expansion of 0 in im
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.556 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.556 * [backup-simplify]: Simplify (* 1 1) into 1
3.556 * [backup-simplify]: Simplify (+ 0 1) into 1
3.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.557 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.557 * [taylor]: Taking taylor expansion of 1/2 in im
3.557 * [backup-simplify]: Simplify 1/2 into 1/2
3.557 * [taylor]: Taking taylor expansion of im in im
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.557 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.559 * [taylor]: Taking taylor expansion of 0 in im
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.560 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.560 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.560 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.560 * [taylor]: Taking taylor expansion of re in im
3.560 * [backup-simplify]: Simplify re into re
3.560 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.560 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.560 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.560 * [taylor]: Taking taylor expansion of im in im
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (* 1 1) into 1
3.561 * [backup-simplify]: Simplify (/ 1 1) into 1
3.561 * [backup-simplify]: Simplify (+ 0 1) into 1
3.561 * [backup-simplify]: Simplify (sqrt 1) into 1
3.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.562 * [backup-simplify]: Simplify (+ 0 0) into 0
3.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.563 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.563 * [taylor]: Taking taylor expansion of re in re
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify 1 into 1
3.563 * [backup-simplify]: Simplify (* 1 1) into 1
3.563 * [backup-simplify]: Simplify (/ 1 1) into 1
3.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.563 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.563 * [taylor]: Taking taylor expansion of im in re
3.563 * [backup-simplify]: Simplify im into im
3.563 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.564 * [backup-simplify]: Simplify (+ 1 0) into 1
3.564 * [backup-simplify]: Simplify (sqrt 1) into 1
3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.565 * [backup-simplify]: Simplify (+ 0 0) into 0
3.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.566 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.566 * [taylor]: Taking taylor expansion of re in re
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.566 * [backup-simplify]: Simplify (/ 1 1) into 1
3.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.566 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.566 * [taylor]: Taking taylor expansion of im in re
3.566 * [backup-simplify]: Simplify im into im
3.566 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.566 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.567 * [backup-simplify]: Simplify (+ 1 0) into 1
3.567 * [backup-simplify]: Simplify (sqrt 1) into 1
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.568 * [backup-simplify]: Simplify (+ 0 0) into 0
3.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.568 * [taylor]: Taking taylor expansion of 1 in im
3.568 * [backup-simplify]: Simplify 1 into 1
3.568 * [taylor]: Taking taylor expansion of 0 in im
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.571 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.571 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.571 * [taylor]: Taking taylor expansion of 1/2 in im
3.571 * [backup-simplify]: Simplify 1/2 into 1/2
3.571 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.571 * [taylor]: Taking taylor expansion of im in im
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (* 1 1) into 1
3.572 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.577 * [backup-simplify]: Simplify (+ 0 0) into 0
3.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.577 * [taylor]: Taking taylor expansion of 0 in im
3.577 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.580 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.580 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.580 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.580 * [taylor]: Taking taylor expansion of re in im
3.580 * [backup-simplify]: Simplify re into re
3.580 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.580 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.580 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.580 * [taylor]: Taking taylor expansion of im in im
3.581 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify 1 into 1
3.581 * [backup-simplify]: Simplify (* 1 1) into 1
3.581 * [backup-simplify]: Simplify (/ 1 1) into 1
3.582 * [backup-simplify]: Simplify (+ 0 1) into 1
3.582 * [backup-simplify]: Simplify (sqrt 1) into 1
3.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.585 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.585 * [taylor]: Taking taylor expansion of re in re
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify (* 1 1) into 1
3.585 * [backup-simplify]: Simplify (/ 1 1) into 1
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.585 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.586 * [taylor]: Taking taylor expansion of im in re
3.586 * [backup-simplify]: Simplify im into im
3.586 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.586 * [backup-simplify]: Simplify (+ 1 0) into 1
3.587 * [backup-simplify]: Simplify (sqrt 1) into 1
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (+ 0 0) into 0
3.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.589 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.589 * [taylor]: Taking taylor expansion of re in re
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify 1 into 1
3.590 * [backup-simplify]: Simplify (* 1 1) into 1
3.590 * [backup-simplify]: Simplify (/ 1 1) into 1
3.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.590 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.590 * [taylor]: Taking taylor expansion of im in re
3.590 * [backup-simplify]: Simplify im into im
3.590 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.591 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.591 * [backup-simplify]: Simplify (+ 1 0) into 1
3.591 * [backup-simplify]: Simplify (sqrt 1) into 1
3.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.594 * [taylor]: Taking taylor expansion of 1 in im
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [taylor]: Taking taylor expansion of 0 in im
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.596 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.597 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.597 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.597 * [taylor]: Taking taylor expansion of 1/2 in im
3.597 * [backup-simplify]: Simplify 1/2 into 1/2
3.597 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.597 * [taylor]: Taking taylor expansion of im in im
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.598 * [backup-simplify]: Simplify (* 1 1) into 1
3.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.603 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.603 * [taylor]: Taking taylor expansion of 0 in im
3.603 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.606 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
3.606 * [backup-simplify]: Simplify (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) into (* (pow (sqrt 2.0) 1/3) (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0)))
3.606 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0))) in (re im) around 0
3.606 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0))) in im
3.606 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.607 * [taylor]: Taking taylor expansion of 1/3 in im
3.607 * [backup-simplify]: Simplify 1/3 into 1/3
3.607 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.607 * [taylor]: Taking taylor expansion of 2.0 in im
3.607 * [backup-simplify]: Simplify 2.0 into 2.0
3.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.609 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.610 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.613 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.613 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0)) in im
3.613 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.613 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.613 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.613 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.613 * [taylor]: Taking taylor expansion of im in im
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 1 into 1
3.613 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.613 * [taylor]: Taking taylor expansion of re in im
3.613 * [backup-simplify]: Simplify re into re
3.613 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.614 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.614 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.614 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.614 * [backup-simplify]: Simplify (+ 0 0) into 0
3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.614 * [taylor]: Taking taylor expansion of re in im
3.614 * [backup-simplify]: Simplify re into re
3.614 * [backup-simplify]: Simplify (- re) into (- re)
3.614 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.615 * [backup-simplify]: Simplify (- 0) into 0
3.615 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [backup-simplify]: Simplify (* 1 1) into 1
3.616 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.616 * [backup-simplify]: Simplify (+ 1 0) into 1
3.617 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.617 * [backup-simplify]: Simplify (- 0) into 0
3.618 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.618 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.619 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.619 * [backup-simplify]: Simplify (+ 0 0) into 0
3.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.620 * [backup-simplify]: Simplify (- 0) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
3.621 * [taylor]: Taking taylor expansion of (cbrt 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 (cbrt 2.0) into (cbrt 2.0)
3.622 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.622 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0))) in re
3.622 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.622 * [taylor]: Taking taylor expansion of 1/3 in re
3.622 * [backup-simplify]: Simplify 1/3 into 1/3
3.622 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.622 * [taylor]: Taking taylor expansion of 2.0 in re
3.622 * [backup-simplify]: Simplify 2.0 into 2.0
3.623 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.624 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.626 * [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 (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0)) in re
3.627 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.627 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.627 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.627 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.627 * [taylor]: Taking taylor expansion of im in re
3.627 * [backup-simplify]: Simplify im into im
3.627 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.627 * [taylor]: Taking taylor expansion of re in re
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 1 into 1
3.627 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.627 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.627 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.628 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.628 * [taylor]: Taking taylor expansion of re in re
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 1 into 1
3.628 * [backup-simplify]: Simplify (- 0) into 0
3.628 * [backup-simplify]: Simplify (+ im 0) into im
3.628 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.628 * [backup-simplify]: Simplify (- 1) into -1
3.629 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.629 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.629 * [taylor]: Taking taylor expansion of (cbrt 2.0) in re
3.629 * [taylor]: Taking taylor expansion of 2.0 in re
3.629 * [backup-simplify]: Simplify 2.0 into 2.0
3.629 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.630 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.630 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0))) in re
3.630 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.630 * [taylor]: Taking taylor expansion of 1/3 in re
3.630 * [backup-simplify]: Simplify 1/3 into 1/3
3.630 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.630 * [taylor]: Taking taylor expansion of 2.0 in re
3.630 * [backup-simplify]: Simplify 2.0 into 2.0
3.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.631 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.632 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.633 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.633 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (cbrt 2.0)) in re
3.633 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.633 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.633 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.633 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.633 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.633 * [taylor]: Taking taylor expansion of im in re
3.633 * [backup-simplify]: Simplify im into im
3.633 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.633 * [taylor]: Taking taylor expansion of re in re
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [backup-simplify]: Simplify 1 into 1
3.633 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.633 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.633 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.633 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.634 * [backup-simplify]: Simplify (+ 0 0) into 0
3.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.634 * [taylor]: Taking taylor expansion of re in re
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 1 into 1
3.634 * [backup-simplify]: Simplify (- 0) into 0
3.634 * [backup-simplify]: Simplify (+ im 0) into im
3.634 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.634 * [backup-simplify]: Simplify (- 1) into -1
3.635 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.635 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.635 * [taylor]: Taking taylor expansion of (cbrt 2.0) in re
3.635 * [taylor]: Taking taylor expansion of 2.0 in re
3.635 * [backup-simplify]: Simplify 2.0 into 2.0
3.635 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.635 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.636 * [backup-simplify]: Simplify (* (sqrt im) (cbrt 2.0)) into (* (cbrt 2.0) (sqrt im))
3.637 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt im))) into (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt im)))
3.637 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt im))) in im
3.637 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.637 * [taylor]: Taking taylor expansion of 1/3 in im
3.637 * [backup-simplify]: Simplify 1/3 into 1/3
3.637 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.637 * [taylor]: Taking taylor expansion of 2.0 in im
3.637 * [backup-simplify]: Simplify 2.0 into 2.0
3.637 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.638 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.639 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.640 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.640 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (sqrt im)) in im
3.640 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.640 * [taylor]: Taking taylor expansion of 2.0 in im
3.640 * [backup-simplify]: Simplify 2.0 into 2.0
3.641 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.641 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.641 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.641 * [taylor]: Taking taylor expansion of im in im
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify (sqrt 0) into 0
3.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.643 * [backup-simplify]: Simplify (+ (* (cbrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (cbrt 2.0)))
3.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.647 * [backup-simplify]: Simplify (* (cbrt 2.0) 0) into 0
3.656 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* +nan.0 (cbrt 2.0)))) (* 0 0)) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.660 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.661 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* -1/2 (sqrt (/ 1 im))) (cbrt 2.0))) into (- (* 1/2 (* (cbrt 2.0) (sqrt (/ 1 im)))))
3.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.667 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* 1/2 (* (cbrt 2.0) (sqrt (/ 1 im)))))) (* 0 (* (cbrt 2.0) (sqrt im)))) into (- (* 1/2 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (/ 1 im))))))
3.667 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (/ 1 im)))))) in im
3.667 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (/ 1 im))))) in im
3.667 * [taylor]: Taking taylor expansion of 1/2 in im
3.667 * [backup-simplify]: Simplify 1/2 into 1/2
3.667 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (/ 1 im)))) in im
3.667 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.667 * [taylor]: Taking taylor expansion of 1/3 in im
3.667 * [backup-simplify]: Simplify 1/3 into 1/3
3.667 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.667 * [taylor]: Taking taylor expansion of 2.0 in im
3.667 * [backup-simplify]: Simplify 2.0 into 2.0
3.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.669 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.670 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.672 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.672 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (sqrt (/ 1 im))) in im
3.672 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.673 * [taylor]: Taking taylor expansion of 2.0 in im
3.673 * [backup-simplify]: Simplify 2.0 into 2.0
3.673 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.674 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.674 * [taylor]: Taking taylor expansion of im in im
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.674 * [backup-simplify]: Simplify (/ 1 1) into 1
3.675 * [backup-simplify]: Simplify (sqrt 0) into 0
3.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.679 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
3.684 * [backup-simplify]: Simplify (+ (* (cbrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (cbrt 2.0)))
3.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.688 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.690 * [backup-simplify]: Simplify (+ (* (cbrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (cbrt 2.0)))
3.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.696 * [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
3.697 * [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
3.700 * [backup-simplify]: Simplify (* (cbrt 2.0) 0) into 0
3.707 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* +nan.0 (cbrt 2.0)))) (+ (* 0 (- (* +nan.0 (cbrt 2.0)))) (* 0 0))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.713 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* +nan.0 (cbrt 2.0)))) (* 0 0)) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.714 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) 0) into 0
3.724 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) (+ (* 0 (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) (* 0 0))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.730 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.734 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.738 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
3.742 * [backup-simplify]: Simplify (+ (* (cbrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (cbrt 2.0)))
3.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.747 * [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
3.748 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.750 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* +nan.0 (cbrt 2.0)))) (+ (* 0 (- (* +nan.0 (cbrt 2.0)))) (* 0 0))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.763 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
3.777 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) (* im re)) (* (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) (* im 1)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* re (* (cbrt 2.0) im)))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) im))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (pow im 2)))))))))
3.779 * [backup-simplify]: Simplify (cbrt (* (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
3.779 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (re im) around 0
3.779 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
3.779 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.779 * [taylor]: Taking taylor expansion of 1/3 in im
3.779 * [backup-simplify]: Simplify 1/3 into 1/3
3.779 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.779 * [taylor]: Taking taylor expansion of 2.0 in im
3.779 * [backup-simplify]: Simplify 2.0 into 2.0
3.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.781 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.783 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.785 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.785 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.785 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.785 * [taylor]: Taking taylor expansion of 2.0 in im
3.785 * [backup-simplify]: Simplify 2.0 into 2.0
3.785 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.786 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.786 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.786 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.786 * [taylor]: Taking taylor expansion of re in im
3.787 * [backup-simplify]: Simplify re into re
3.787 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.787 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.787 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.787 * [taylor]: Taking taylor expansion of im in im
3.787 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify 1 into 1
3.787 * [backup-simplify]: Simplify (* 1 1) into 1
3.788 * [backup-simplify]: Simplify (/ 1 1) into 1
3.788 * [backup-simplify]: Simplify (+ 0 1) into 1
3.789 * [backup-simplify]: Simplify (sqrt 1) into 1
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.791 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.791 * [taylor]: Taking taylor expansion of re in im
3.791 * [backup-simplify]: Simplify re into re
3.791 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.792 * [backup-simplify]: Simplify (+ 1 0) into 1
3.792 * [backup-simplify]: Simplify (sqrt 0) into 0
3.794 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.794 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
3.794 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.794 * [taylor]: Taking taylor expansion of 1/3 in re
3.794 * [backup-simplify]: Simplify 1/3 into 1/3
3.794 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.794 * [taylor]: Taking taylor expansion of 2.0 in re
3.794 * [backup-simplify]: Simplify 2.0 into 2.0
3.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.799 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.801 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.804 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.804 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.804 * [taylor]: Taking taylor expansion of (cbrt 2.0) in re
3.804 * [taylor]: Taking taylor expansion of 2.0 in re
3.804 * [backup-simplify]: Simplify 2.0 into 2.0
3.804 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.805 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.805 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.806 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.806 * [taylor]: Taking taylor expansion of re in re
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.806 * [backup-simplify]: Simplify (* 1 1) into 1
3.807 * [backup-simplify]: Simplify (/ 1 1) into 1
3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.807 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.807 * [taylor]: Taking taylor expansion of im in re
3.807 * [backup-simplify]: Simplify im into im
3.807 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.807 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.807 * [backup-simplify]: Simplify (+ 1 0) into 1
3.808 * [backup-simplify]: Simplify (sqrt 1) into 1
3.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.810 * [backup-simplify]: Simplify (+ 0 0) into 0
3.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.811 * [taylor]: Taking taylor expansion of re in re
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (/ 1 1) into 1
3.811 * [backup-simplify]: Simplify (- 1) into -1
3.812 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.813 * [backup-simplify]: Simplify (- 0) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.818 * [backup-simplify]: Simplify (- 0) into 0
3.818 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.819 * [backup-simplify]: Simplify (sqrt 0) into 0
3.820 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.820 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
3.820 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
3.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
3.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
3.820 * [taylor]: Taking taylor expansion of 1/3 in re
3.820 * [backup-simplify]: Simplify 1/3 into 1/3
3.820 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
3.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.820 * [taylor]: Taking taylor expansion of 2.0 in re
3.820 * [backup-simplify]: Simplify 2.0 into 2.0
3.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.822 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.823 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.825 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.825 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.825 * [taylor]: Taking taylor expansion of (cbrt 2.0) in re
3.826 * [taylor]: Taking taylor expansion of 2.0 in re
3.826 * [backup-simplify]: Simplify 2.0 into 2.0
3.826 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.827 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.827 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.827 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.827 * [taylor]: Taking taylor expansion of re in re
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (* 1 1) into 1
3.828 * [backup-simplify]: Simplify (/ 1 1) into 1
3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.828 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.828 * [taylor]: Taking taylor expansion of im in re
3.828 * [backup-simplify]: Simplify im into im
3.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.829 * [backup-simplify]: Simplify (+ 1 0) into 1
3.829 * [backup-simplify]: Simplify (sqrt 1) into 1
3.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.831 * [taylor]: Taking taylor expansion of re in re
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (/ 1 1) into 1
3.832 * [backup-simplify]: Simplify (- 1) into -1
3.832 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.833 * [backup-simplify]: Simplify (- 0) into 0
3.834 * [backup-simplify]: Simplify (+ 0 0) into 0
3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.837 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (- 0) into 0
3.838 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.839 * [backup-simplify]: Simplify (sqrt 0) into 0
3.839 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.840 * [backup-simplify]: Simplify (* (cbrt 2.0) 0) into 0
3.841 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) 0) into 0
3.841 * [taylor]: Taking taylor expansion of 0 in im
3.841 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify (+ (* (cbrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (cbrt 2.0) (pow im 2))))
3.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.846 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.848 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* +nan.0 (/ (cbrt 2.0) (pow im 2))))) (* 0 0)) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))))
3.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))))) in im
3.848 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))) in im
3.848 * [taylor]: Taking taylor expansion of +nan.0 in im
3.848 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.848 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))) in im
3.848 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.848 * [taylor]: Taking taylor expansion of 1/3 in im
3.848 * [backup-simplify]: Simplify 1/3 into 1/3
3.848 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.848 * [taylor]: Taking taylor expansion of 2.0 in im
3.848 * [backup-simplify]: Simplify 2.0 into 2.0
3.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.850 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.851 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.853 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.853 * [taylor]: Taking taylor expansion of (/ (cbrt 2.0) (pow im 2)) in im
3.853 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.853 * [taylor]: Taking taylor expansion of 2.0 in im
3.853 * [backup-simplify]: Simplify 2.0 into 2.0
3.854 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.854 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.854 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.854 * [taylor]: Taking taylor expansion of im in im
3.854 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (* 1 1) into 1
3.856 * [backup-simplify]: Simplify (/ (cbrt 2.0) 1) into (cbrt 2.0)
3.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)))) into 0
3.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.862 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.863 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
3.865 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
3.867 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into 0
3.867 * [backup-simplify]: Simplify (- 0) into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.869 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.870 * [backup-simplify]: Simplify (+ 0 0) into 0
3.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.872 * [backup-simplify]: Simplify (- 0) into 0
3.872 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
3.876 * [backup-simplify]: Simplify (+ (* (cbrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (cbrt 2.0) (pow im 4))))
3.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.880 * [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
3.881 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.883 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.886 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (* +nan.0 (/ (cbrt 2.0) (pow im 4))))) (+ (* 0 (- (* +nan.0 (/ (cbrt 2.0) (pow im 2))))) (* 0 0))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4)))))
3.886 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4))))) in im
3.886 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4)))) in im
3.886 * [taylor]: Taking taylor expansion of +nan.0 in im
3.886 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.886 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4))) in im
3.887 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.887 * [taylor]: Taking taylor expansion of 1/3 in im
3.887 * [backup-simplify]: Simplify 1/3 into 1/3
3.887 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.887 * [taylor]: Taking taylor expansion of 2.0 in im
3.887 * [backup-simplify]: Simplify 2.0 into 2.0
3.887 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.889 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.890 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.892 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.892 * [taylor]: Taking taylor expansion of (/ (cbrt 2.0) (pow im 4)) in im
3.892 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.892 * [taylor]: Taking taylor expansion of 2.0 in im
3.892 * [backup-simplify]: Simplify 2.0 into 2.0
3.892 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.893 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.893 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.893 * [taylor]: Taking taylor expansion of im in im
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.895 * [backup-simplify]: Simplify (/ (cbrt 2.0) 1) into (cbrt 2.0)
3.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2.0))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)))) into 0
3.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
3.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.903 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.904 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.905 * [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
3.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.911 * [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
3.912 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
3.913 * [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
3.914 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0))))) into 0
3.915 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (cbrt 2.0)))) into 0
3.916 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
3.917 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
3.918 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))))) into 0
3.918 * [backup-simplify]: Simplify (- 0) into 0
3.918 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.925 * [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
3.926 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.927 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.928 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (cbrt 2.0)))) into 0
3.929 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) into 0
3.929 * [backup-simplify]: Simplify (- 0) into 0
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.934 * [backup-simplify]: Simplify (- 0) into 0
3.935 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.936 * [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)))))
3.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2.0))) into 0
3.938 * [backup-simplify]: Simplify (+ (* (cbrt 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 (/ (cbrt 2.0) (pow im 4))) (- (* +nan.0 (/ (cbrt 2.0) (pow im 6))))))
3.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.945 * [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
3.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
3.950 * [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
3.954 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (- (+ (* +nan.0 (/ (cbrt 2.0) (pow im 4))) (- (* +nan.0 (/ (cbrt 2.0) (pow im 6))))))) (+ (* 0 (- (* +nan.0 (/ (cbrt 2.0) (pow im 4))))) (+ (* 0 (- (* +nan.0 (/ (cbrt 2.0) (pow im 2))))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 6)))))))
3.954 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 6))))))) in im
3.954 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 6)))))) in im
3.954 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4)))) in im
3.954 * [taylor]: Taking taylor expansion of +nan.0 in im
3.954 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.954 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 4))) in im
3.954 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.954 * [taylor]: Taking taylor expansion of 1/3 in im
3.954 * [backup-simplify]: Simplify 1/3 into 1/3
3.954 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.954 * [taylor]: Taking taylor expansion of 2.0 in im
3.954 * [backup-simplify]: Simplify 2.0 into 2.0
3.955 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.956 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.958 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.960 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.960 * [taylor]: Taking taylor expansion of (/ (cbrt 2.0) (pow im 4)) in im
3.960 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.960 * [taylor]: Taking taylor expansion of 2.0 in im
3.960 * [backup-simplify]: Simplify 2.0 into 2.0
3.960 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.961 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.961 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.961 * [taylor]: Taking taylor expansion of im in im
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (* 1 1) into 1
3.962 * [backup-simplify]: Simplify (* 1 1) into 1
3.963 * [backup-simplify]: Simplify (/ (cbrt 2.0) 1) into (cbrt 2.0)
3.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 6))))) in im
3.963 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 6)))) in im
3.963 * [taylor]: Taking taylor expansion of +nan.0 in im
3.963 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.963 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 6))) in im
3.963 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
3.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
3.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
3.963 * [taylor]: Taking taylor expansion of 1/3 in im
3.963 * [backup-simplify]: Simplify 1/3 into 1/3
3.963 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
3.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.963 * [taylor]: Taking taylor expansion of 2.0 in im
3.963 * [backup-simplify]: Simplify 2.0 into 2.0
3.964 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.965 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
3.967 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
3.969 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
3.969 * [taylor]: Taking taylor expansion of (/ (cbrt 2.0) (pow im 6)) in im
3.969 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
3.969 * [taylor]: Taking taylor expansion of 2.0 in im
3.969 * [backup-simplify]: Simplify 2.0 into 2.0
3.969 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
3.970 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
3.970 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.970 * [taylor]: Taking taylor expansion of im in im
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [backup-simplify]: Simplify (* 1 1) into 1
3.971 * [backup-simplify]: Simplify (* 1 1) into 1
3.971 * [backup-simplify]: Simplify (* 1 1) into 1
3.972 * [backup-simplify]: Simplify (/ (cbrt 2.0) 1) into (cbrt 2.0)
3.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2.0))) into 0
3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)))) into 0
3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
3.986 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
3.987 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.991 * [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
3.992 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
3.993 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.997 * [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
3.998 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
3.999 * [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
4.000 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0))))) into 0
4.001 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (cbrt 2.0)))) into 0
4.002 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
4.003 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.004 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))))) into 0
4.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2.0))) into 0
4.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
4.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2.0))) into 0
4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)))) into 0
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
4.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
4.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
4.021 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.024 * [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
4.024 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
4.026 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.031 * [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
4.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
4.034 * [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
4.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.041 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2.0) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 1)))) 24) into 0
4.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))) into 0
4.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.060 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2.0) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2.0) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2.0) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2.0) 1)))) 120) into 0
4.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))))) into 0
4.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.069 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0))))))) into 0
4.071 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0)))))) into 0
4.073 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0))))) into 0
4.074 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (cbrt 2.0)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
4.077 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.079 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))))))) into 0
4.079 * [backup-simplify]: Simplify (- 0) into 0
4.080 * [backup-simplify]: Simplify (+ 0 0) into 0
4.080 * [backup-simplify]: Simplify (- 0) into 0
4.080 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify (cbrt (* (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))
4.082 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in (re im) around 0
4.082 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in im
4.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.082 * [taylor]: Taking taylor expansion of re in im
4.082 * [backup-simplify]: Simplify re into re
4.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.082 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.082 * [taylor]: Taking taylor expansion of re in im
4.082 * [backup-simplify]: Simplify re into re
4.082 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.083 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.083 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.083 * [taylor]: Taking taylor expansion of im in im
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 1 into 1
4.084 * [backup-simplify]: Simplify (* 1 1) into 1
4.084 * [backup-simplify]: Simplify (/ 1 1) into 1
4.084 * [backup-simplify]: Simplify (+ 0 1) into 1
4.085 * [backup-simplify]: Simplify (sqrt 1) into 1
4.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ 0 0) into 0
4.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.088 * [backup-simplify]: Simplify (+ 0 1) into 1
4.088 * [backup-simplify]: Simplify (sqrt 0) into 0
4.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.090 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in im
4.090 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.090 * [taylor]: Taking taylor expansion of 1/3 in im
4.090 * [backup-simplify]: Simplify 1/3 into 1/3
4.090 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.090 * [taylor]: Taking taylor expansion of 2.0 in im
4.090 * [backup-simplify]: Simplify 2.0 into 2.0
4.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.092 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.093 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.095 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.095 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.096 * [taylor]: Taking taylor expansion of 2.0 in im
4.096 * [backup-simplify]: Simplify 2.0 into 2.0
4.096 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.097 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in re
4.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
4.097 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.097 * [taylor]: Taking taylor expansion of re in re
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.097 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.097 * [taylor]: Taking taylor expansion of re in re
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 1 into 1
4.098 * [backup-simplify]: Simplify (* 1 1) into 1
4.098 * [backup-simplify]: Simplify (/ 1 1) into 1
4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.098 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.098 * [taylor]: Taking taylor expansion of im in re
4.098 * [backup-simplify]: Simplify im into im
4.098 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.099 * [backup-simplify]: Simplify (+ 1 0) into 1
4.099 * [backup-simplify]: Simplify (sqrt 1) into 1
4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.101 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.102 * [backup-simplify]: Simplify (+ 1 1) into 2
4.103 * [backup-simplify]: Simplify (sqrt 0) into 0
4.104 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
4.104 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in re
4.104 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
4.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
4.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
4.104 * [taylor]: Taking taylor expansion of 1/3 in re
4.104 * [backup-simplify]: Simplify 1/3 into 1/3
4.104 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
4.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.104 * [taylor]: Taking taylor expansion of 2.0 in re
4.104 * [backup-simplify]: Simplify 2.0 into 2.0
4.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.106 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.108 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.110 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.110 * [taylor]: Taking taylor expansion of (cbrt 2.0) in re
4.110 * [taylor]: Taking taylor expansion of 2.0 in re
4.110 * [backup-simplify]: Simplify 2.0 into 2.0
4.110 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.111 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.111 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in re
4.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
4.111 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.111 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.111 * [taylor]: Taking taylor expansion of re in re
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 1 into 1
4.112 * [backup-simplify]: Simplify (/ 1 1) into 1
4.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.112 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.112 * [taylor]: Taking taylor expansion of re in re
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 1 into 1
4.112 * [backup-simplify]: Simplify (* 1 1) into 1
4.113 * [backup-simplify]: Simplify (/ 1 1) into 1
4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.113 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.113 * [taylor]: Taking taylor expansion of im in re
4.113 * [backup-simplify]: Simplify im into im
4.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.113 * [backup-simplify]: Simplify (+ 1 0) into 1
4.114 * [backup-simplify]: Simplify (sqrt 1) into 1
4.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.117 * [backup-simplify]: Simplify (+ 1 1) into 2
4.117 * [backup-simplify]: Simplify (sqrt 0) into 0
4.118 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
4.118 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in re
4.118 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
4.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
4.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
4.118 * [taylor]: Taking taylor expansion of 1/3 in re
4.118 * [backup-simplify]: Simplify 1/3 into 1/3
4.118 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
4.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.118 * [taylor]: Taking taylor expansion of 2.0 in re
4.118 * [backup-simplify]: Simplify 2.0 into 2.0
4.119 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.120 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.122 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.124 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.124 * [taylor]: Taking taylor expansion of (cbrt 2.0) in re
4.124 * [taylor]: Taking taylor expansion of 2.0 in re
4.124 * [backup-simplify]: Simplify 2.0 into 2.0
4.124 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.125 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.127 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.128 * [backup-simplify]: Simplify (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) into 0
4.128 * [taylor]: Taking taylor expansion of 0 in im
4.128 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
4.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
4.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.134 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
4.139 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) in im
4.139 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in im
4.140 * [taylor]: Taking taylor expansion of +nan.0 in im
4.140 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.140 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in im
4.140 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.140 * [taylor]: Taking taylor expansion of 1/3 in im
4.140 * [backup-simplify]: Simplify 1/3 into 1/3
4.140 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.140 * [taylor]: Taking taylor expansion of 2.0 in im
4.140 * [backup-simplify]: Simplify 2.0 into 2.0
4.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.142 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.143 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.146 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.146 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.146 * [taylor]: Taking taylor expansion of 2.0 in im
4.146 * [backup-simplify]: Simplify 2.0 into 2.0
4.146 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.147 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.147 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
4.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.153 * [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
4.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
4.160 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.161 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (cbrt 2.0)))) into 0
4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) in im
4.172 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in im
4.172 * [taylor]: Taking taylor expansion of +nan.0 in im
4.172 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.172 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in im
4.172 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.172 * [taylor]: Taking taylor expansion of 1/3 in im
4.172 * [backup-simplify]: Simplify 1/3 into 1/3
4.172 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.172 * [taylor]: Taking taylor expansion of 2.0 in im
4.173 * [backup-simplify]: Simplify 2.0 into 2.0
4.173 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.174 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.175 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.176 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.176 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.176 * [taylor]: Taking taylor expansion of 2.0 in im
4.176 * [backup-simplify]: Simplify 2.0 into 2.0
4.176 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.178 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.180 * [backup-simplify]: Simplify (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) into (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))
4.182 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.185 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.185 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2.0))) into 0
4.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.189 * [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
4.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
4.192 * [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
4.193 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0))))) into 0
4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.194 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.195 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.195 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.197 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
4.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))))))
4.199 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))))))) in im
4.199 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))))) in im
4.199 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in im
4.199 * [taylor]: Taking taylor expansion of +nan.0 in im
4.199 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.199 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in im
4.199 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.199 * [taylor]: Taking taylor expansion of 1/3 in im
4.199 * [backup-simplify]: Simplify 1/3 into 1/3
4.199 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.199 * [taylor]: Taking taylor expansion of 2.0 in im
4.199 * [backup-simplify]: Simplify 2.0 into 2.0
4.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.201 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.201 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.203 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.203 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.203 * [taylor]: Taking taylor expansion of 2.0 in im
4.203 * [backup-simplify]: Simplify 2.0 into 2.0
4.204 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.204 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.204 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))))) in im
4.205 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))) in im
4.205 * [taylor]: Taking taylor expansion of +nan.0 in im
4.205 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.205 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))) in im
4.205 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.205 * [taylor]: Taking taylor expansion of 1/3 in im
4.205 * [backup-simplify]: Simplify 1/3 into 1/3
4.205 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.205 * [taylor]: Taking taylor expansion of 2.0 in im
4.205 * [backup-simplify]: Simplify 2.0 into 2.0
4.205 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.207 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.209 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.211 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.211 * [taylor]: Taking taylor expansion of (/ (cbrt 2.0) (pow im 2)) in im
4.211 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.211 * [taylor]: Taking taylor expansion of 2.0 in im
4.211 * [backup-simplify]: Simplify 2.0 into 2.0
4.211 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.212 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.212 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.212 * [taylor]: Taking taylor expansion of im in im
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.213 * [backup-simplify]: Simplify (* 1 1) into 1
4.214 * [backup-simplify]: Simplify (/ (cbrt 2.0) 1) into (cbrt 2.0)
4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)))) into 0
4.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
4.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
4.220 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.221 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
4.223 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.224 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into 0
4.225 * [backup-simplify]: Simplify (- 0) into 0
4.225 * [backup-simplify]: Simplify (+ 0 0) into 0
4.226 * [backup-simplify]: Simplify (- 0) into 0
4.226 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.231 * [backup-simplify]: Simplify (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) into (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))
4.235 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.239 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
4.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
4.241 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.242 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
4.243 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into 0
4.243 * [backup-simplify]: Simplify (- 0) into 0
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
4.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.251 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2.0) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 1)))) 24) into 0
4.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))) into 0
4.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.255 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2.0)))))) into 0
4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.257 * [backup-simplify]: Simplify (+ 0 0) into 0
4.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.258 * [backup-simplify]: Simplify (+ 0 0) into 0
4.259 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
4.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))))))
4.264 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))))))) in im
4.265 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))))) in im
4.265 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) in im
4.265 * [taylor]: Taking taylor expansion of +nan.0 in im
4.265 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.265 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) in im
4.265 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.265 * [taylor]: Taking taylor expansion of 1/3 in im
4.265 * [backup-simplify]: Simplify 1/3 into 1/3
4.265 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.265 * [taylor]: Taking taylor expansion of 2.0 in im
4.265 * [backup-simplify]: Simplify 2.0 into 2.0
4.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.266 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.267 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.269 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.269 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.269 * [taylor]: Taking taylor expansion of 2.0 in im
4.269 * [backup-simplify]: Simplify 2.0 into 2.0
4.269 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.269 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.269 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))))) in im
4.269 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2)))) in im
4.270 * [taylor]: Taking taylor expansion of +nan.0 in im
4.270 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.270 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow im 2))) in im
4.270 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
4.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
4.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
4.270 * [taylor]: Taking taylor expansion of 1/3 in im
4.270 * [backup-simplify]: Simplify 1/3 into 1/3
4.270 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
4.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.270 * [taylor]: Taking taylor expansion of 2.0 in im
4.270 * [backup-simplify]: Simplify 2.0 into 2.0
4.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.272 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
4.273 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
4.275 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
4.275 * [taylor]: Taking taylor expansion of (/ (cbrt 2.0) (pow im 2)) in im
4.275 * [taylor]: Taking taylor expansion of (cbrt 2.0) in im
4.275 * [taylor]: Taking taylor expansion of 2.0 in im
4.275 * [backup-simplify]: Simplify 2.0 into 2.0
4.276 * [backup-simplify]: Simplify (cbrt 2.0) into (cbrt 2.0)
4.276 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2.0))) into 0
4.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.276 * [taylor]: Taking taylor expansion of im in im
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify 1 into 1
4.277 * [backup-simplify]: Simplify (* 1 1) into 1
4.278 * [backup-simplify]: Simplify (/ (cbrt 2.0) 1) into (cbrt 2.0)
4.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)))) into 0
4.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
4.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
4.281 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.282 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (cbrt 2.0))) into 0
4.284 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.285 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into 0
4.285 * [backup-simplify]: Simplify (- 0) into 0
4.285 * [backup-simplify]: Simplify (+ 0 0) into 0
4.286 * [backup-simplify]: Simplify (- 0) into 0
4.286 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)) into (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))
4.289 * [backup-simplify]: Simplify (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) into (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))
4.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2.0))))) (* 3 (cbrt 2.0))) into 0
4.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.293 * [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
4.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
4.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.296 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (cbrt 2.0)))) into 0
4.297 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) into 0
4.297 * [backup-simplify]: Simplify (- 0) into 0
4.300 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) 0) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.303 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.306 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) into (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))))
4.313 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0)))))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow re 2)))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) re))))))))
4.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2)
4.314 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
4.314 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
4.314 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
4.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.314 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.314 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.314 * [taylor]: Taking taylor expansion of im in im
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 1 into 1
4.314 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.314 * [taylor]: Taking taylor expansion of re in im
4.314 * [backup-simplify]: Simplify re into re
4.314 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.314 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.314 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.314 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.315 * [backup-simplify]: Simplify (+ 0 0) into 0
4.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.315 * [taylor]: Taking taylor expansion of re in im
4.315 * [backup-simplify]: Simplify re into re
4.315 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
4.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.315 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.315 * [taylor]: Taking taylor expansion of im in re
4.315 * [backup-simplify]: Simplify im into im
4.315 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.315 * [taylor]: Taking taylor expansion of re in re
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.315 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.315 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.315 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.315 * [backup-simplify]: Simplify (+ 0 0) into 0
4.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.316 * [taylor]: Taking taylor expansion of re in re
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
4.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.316 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.316 * [taylor]: Taking taylor expansion of im in re
4.316 * [backup-simplify]: Simplify im into im
4.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.316 * [taylor]: Taking taylor expansion of re in re
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.316 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.316 * [backup-simplify]: Simplify (+ 0 0) into 0
4.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.316 * [taylor]: Taking taylor expansion of re in re
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify 1 into 1
4.317 * [backup-simplify]: Simplify (- 0) into 0
4.317 * [backup-simplify]: Simplify (+ im 0) into im
4.317 * [taylor]: Taking taylor expansion of im in im
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify 1 into 1
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify (- 1) into -1
4.318 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.318 * [taylor]: Taking taylor expansion of -1 in im
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.318 * [backup-simplify]: Simplify (* 1 1) into 1
4.319 * [backup-simplify]: Simplify (+ 0 1) into 1
4.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.319 * [backup-simplify]: Simplify (- 0) into 0
4.319 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.319 * [taylor]: Taking taylor expansion of 1/2 in im
4.319 * [backup-simplify]: Simplify 1/2 into 1/2
4.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.319 * [taylor]: Taking taylor expansion of im in im
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 1 into 1
4.320 * [backup-simplify]: Simplify (/ 1 1) into 1
4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.322 * [backup-simplify]: Simplify (+ 0 0) into 0
4.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.322 * [backup-simplify]: Simplify (- 0) into 0
4.322 * [backup-simplify]: Simplify (+ 0 0) into 0
4.322 * [taylor]: Taking taylor expansion of 0 in im
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.324 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
4.324 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
4.324 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.324 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.324 * [taylor]: Taking taylor expansion of re in im
4.324 * [backup-simplify]: Simplify re into re
4.324 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.324 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.324 * [taylor]: Taking taylor expansion of im in im
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.325 * [backup-simplify]: Simplify (* 1 1) into 1
4.325 * [backup-simplify]: Simplify (/ 1 1) into 1
4.325 * [backup-simplify]: Simplify (+ 0 1) into 1
4.325 * [backup-simplify]: Simplify (sqrt 1) into 1
4.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.326 * [backup-simplify]: Simplify (+ 0 0) into 0
4.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.327 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.327 * [taylor]: Taking taylor expansion of re in im
4.327 * [backup-simplify]: Simplify re into re
4.327 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.327 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.327 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.327 * [taylor]: Taking taylor expansion of re in re
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [backup-simplify]: Simplify (* 1 1) into 1
4.327 * [backup-simplify]: Simplify (/ 1 1) into 1
4.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.328 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.328 * [taylor]: Taking taylor expansion of im in re
4.328 * [backup-simplify]: Simplify im into im
4.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.328 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.328 * [backup-simplify]: Simplify (+ 1 0) into 1
4.328 * [backup-simplify]: Simplify (sqrt 1) into 1
4.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.329 * [backup-simplify]: Simplify (+ 0 0) into 0
4.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.330 * [taylor]: Taking taylor expansion of re in re
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 1 into 1
4.330 * [backup-simplify]: Simplify (/ 1 1) into 1
4.330 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.330 * [taylor]: Taking taylor expansion of re in re
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 1 into 1
4.330 * [backup-simplify]: Simplify (* 1 1) into 1
4.331 * [backup-simplify]: Simplify (/ 1 1) into 1
4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.331 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.331 * [taylor]: Taking taylor expansion of im in re
4.331 * [backup-simplify]: Simplify im into im
4.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.331 * [backup-simplify]: Simplify (+ 1 0) into 1
4.331 * [backup-simplify]: Simplify (sqrt 1) into 1
4.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.332 * [backup-simplify]: Simplify (+ 0 0) into 0
4.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.333 * [taylor]: Taking taylor expansion of re in re
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 1 into 1
4.333 * [backup-simplify]: Simplify (/ 1 1) into 1
4.333 * [backup-simplify]: Simplify (- 1) into -1
4.334 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.334 * [taylor]: Taking taylor expansion of 0 in im
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.334 * [backup-simplify]: Simplify (- 0) into 0
4.335 * [backup-simplify]: Simplify (+ 0 0) into 0
4.335 * [taylor]: Taking taylor expansion of 0 in im
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.338 * [backup-simplify]: Simplify (- 0) into 0
4.338 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.338 * [taylor]: Taking taylor expansion of 1/2 in im
4.338 * [backup-simplify]: Simplify 1/2 into 1/2
4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.338 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.338 * [taylor]: Taking taylor expansion of im in im
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [backup-simplify]: Simplify (* 1 1) into 1
4.339 * [backup-simplify]: Simplify (/ 1 1) into 1
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.342 * [backup-simplify]: Simplify (+ 0 0) into 0
4.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.343 * [backup-simplify]: Simplify (- 0) into 0
4.343 * [backup-simplify]: Simplify (+ 0 0) into 0
4.344 * [taylor]: Taking taylor expansion of 0 in im
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
4.345 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
4.346 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.346 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.346 * [taylor]: Taking taylor expansion of re in im
4.346 * [backup-simplify]: Simplify re into re
4.346 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.346 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.346 * [taylor]: Taking taylor expansion of re in im
4.346 * [backup-simplify]: Simplify re into re
4.346 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.346 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.346 * [taylor]: Taking taylor expansion of im in im
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [backup-simplify]: Simplify (* 1 1) into 1
4.346 * [backup-simplify]: Simplify (/ 1 1) into 1
4.347 * [backup-simplify]: Simplify (+ 0 1) into 1
4.347 * [backup-simplify]: Simplify (sqrt 1) into 1
4.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.348 * [backup-simplify]: Simplify (+ 0 0) into 0
4.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.348 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.348 * [taylor]: Taking taylor expansion of re in re
4.348 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (/ 1 1) into 1
4.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.349 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.349 * [taylor]: Taking taylor expansion of re in re
4.349 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (* 1 1) into 1
4.349 * [backup-simplify]: Simplify (/ 1 1) into 1
4.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.349 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.349 * [taylor]: Taking taylor expansion of im in re
4.349 * [backup-simplify]: Simplify im into im
4.349 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.350 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.350 * [backup-simplify]: Simplify (+ 1 0) into 1
4.350 * [backup-simplify]: Simplify (sqrt 1) into 1
4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.351 * [backup-simplify]: Simplify (+ 0 0) into 0
4.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.352 * [taylor]: Taking taylor expansion of re in re
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify 1 into 1
4.352 * [backup-simplify]: Simplify (/ 1 1) into 1
4.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.352 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.352 * [taylor]: Taking taylor expansion of re in re
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify 1 into 1
4.352 * [backup-simplify]: Simplify (* 1 1) into 1
4.353 * [backup-simplify]: Simplify (/ 1 1) into 1
4.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.353 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.353 * [taylor]: Taking taylor expansion of im in re
4.353 * [backup-simplify]: Simplify im into im
4.353 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.353 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.353 * [backup-simplify]: Simplify (+ 1 0) into 1
4.353 * [backup-simplify]: Simplify (sqrt 1) into 1
4.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.358 * [backup-simplify]: Simplify (+ 0 0) into 0
4.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.359 * [backup-simplify]: Simplify (+ 1 1) into 2
4.359 * [taylor]: Taking taylor expansion of 2 in im
4.359 * [backup-simplify]: Simplify 2 into 2
4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.359 * [backup-simplify]: Simplify (+ 0 0) into 0
4.359 * [taylor]: Taking taylor expansion of 0 in im
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 2 into 2
4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.362 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.362 * [taylor]: Taking taylor expansion of 1/2 in im
4.362 * [backup-simplify]: Simplify 1/2 into 1/2
4.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.362 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.362 * [taylor]: Taking taylor expansion of im in im
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify (* 1 1) into 1
4.363 * [backup-simplify]: Simplify (/ 1 1) into 1
4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.366 * [backup-simplify]: Simplify (+ 0 0) into 0
4.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.367 * [backup-simplify]: Simplify (+ 0 0) into 0
4.367 * [taylor]: Taking taylor expansion of 0 in im
4.367 * [backup-simplify]: Simplify 0 into 0
4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.369 * * * [progress]: simplifying candidates
4.370 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (exp (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))))
  (cbrt (* (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (* (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))))
  (cbrt (* (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))))
  (cbrt (* (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (* (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))))
  (cbrt (* (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))))
  (cbrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))))
  (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (* (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))
  (cbrt (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (* (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* re (* (cbrt 2.0) im)))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) im))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* (cbrt 2.0) (pow im 2)))))))))
  0
  (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) (pow re 2)))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (cbrt 2.0))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ (cbrt 2.0) re))))))))
  (- im re)
  0
  (* -2 re)
4.372 * * [simplify]: iteration 0: 146 enodes
4.395 * * [simplify]: iteration 1: 333 enodes
4.536 * * [simplify]: iteration 2: 1324 enodes
5.004 * * [simplify]: iteration complete: 5000 enodes
5.004 * * [simplify]: Extracting #0: cost 60 inf + 0
5.005 * * [simplify]: Extracting #1: cost 229 inf + 88
5.007 * * [simplify]: Extracting #2: cost 994 inf + 3101
5.030 * * [simplify]: Extracting #3: cost 1867 inf + 29030
5.072 * * [simplify]: Extracting #4: cost 1112 inf + 172560
5.156 * * [simplify]: Extracting #5: cost 239 inf + 405714
5.295 * * [simplify]: Extracting #6: cost 44 inf + 482147
5.421 * * [simplify]: Extracting #7: cost 11 inf + 488521
5.530 * * [simplify]: Extracting #8: cost 0 inf + 491974
5.660 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) 2.0) (sqrt (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) 2.0))))
  (cbrt (* (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (* 2.0 (sqrt (* (+ (* im im) 0) 2.0)))))
  (cbrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (sqrt (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) 2.0)) (* (+ (* im im) 0) 2.0)))
  (cbrt (* (sqrt (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))) (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (* (* (+ (* im im) 0) 2.0) (sqrt (* (+ (* im im) 0) 2.0))))
  (cbrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) 2.0))))
  (cbrt (sqrt (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (sqrt (* (+ (* im im) 0) 2.0)))))
  (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 2.0) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))))
  (cbrt (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* (+ (* im im) 0) 2.0)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (* (* +nan.0 (cbrt (sqrt 2.0))) (+ (- (* (cbrt 2.0) im) (* (* im im) (cbrt 2.0))) (- (* re (* (cbrt 2.0) im)))))
  0
  (- (* (* +nan.0 (cbrt (sqrt 2.0))) (- (/ (/ (cbrt 2.0) re) re) (- (cbrt 2.0) (/ (cbrt 2.0) re)))))
  (- im re)
  0
  (* re -2)
5.670 * * * [progress]: adding candidates to table
6.194 * * [progress]: iteration 3 / 4
6.194 * * * [progress]: picking best candidate
6.226 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.226 * * * [progress]: localizing error
6.279 * * * [progress]: generating rewritten candidates
6.279 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
6.292 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
6.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
6.329 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
6.393 * * * [progress]: generating series expansions
6.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
6.394 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.394 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.394 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.394 * [taylor]: Taking taylor expansion of im in im
6.394 * [backup-simplify]: Simplify 0 into 0
6.394 * [backup-simplify]: Simplify 1 into 1
6.394 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.394 * [taylor]: Taking taylor expansion of re in im
6.394 * [backup-simplify]: Simplify re into re
6.394 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.394 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.394 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.394 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.395 * [backup-simplify]: Simplify (+ 0 0) into 0
6.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.395 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.395 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.395 * [taylor]: Taking taylor expansion of im in re
6.395 * [backup-simplify]: Simplify im into im
6.395 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.395 * [taylor]: Taking taylor expansion of re in re
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify 1 into 1
6.395 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.395 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.395 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.396 * [backup-simplify]: Simplify (+ 0 0) into 0
6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.396 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.396 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.396 * [taylor]: Taking taylor expansion of im in re
6.396 * [backup-simplify]: Simplify im into im
6.396 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.396 * [taylor]: Taking taylor expansion of re in re
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.396 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.396 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.396 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.396 * [backup-simplify]: Simplify (+ 0 0) into 0
6.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.397 * [taylor]: Taking taylor expansion of im in im
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 1 into 1
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [taylor]: Taking taylor expansion of 0 in im
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 1 into 1
6.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.397 * [backup-simplify]: Simplify (* 1 1) into 1
6.398 * [backup-simplify]: Simplify (+ 0 1) into 1
6.398 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.398 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.398 * [taylor]: Taking taylor expansion of 1/2 in im
6.398 * [backup-simplify]: Simplify 1/2 into 1/2
6.398 * [taylor]: Taking taylor expansion of im in im
6.398 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify 1 into 1
6.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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
6.401 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.401 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.401 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.401 * [taylor]: Taking taylor expansion of re in im
6.401 * [backup-simplify]: Simplify re into re
6.401 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.401 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.401 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.401 * [taylor]: Taking taylor expansion of im in im
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.402 * [backup-simplify]: Simplify (* 1 1) into 1
6.402 * [backup-simplify]: Simplify (/ 1 1) into 1
6.402 * [backup-simplify]: Simplify (+ 0 1) into 1
6.402 * [backup-simplify]: Simplify (sqrt 1) into 1
6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.404 * [taylor]: Taking taylor expansion of re in re
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 1 into 1
6.404 * [backup-simplify]: Simplify (* 1 1) into 1
6.404 * [backup-simplify]: Simplify (/ 1 1) into 1
6.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.404 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.404 * [taylor]: Taking taylor expansion of im in re
6.404 * [backup-simplify]: Simplify im into im
6.404 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.405 * [backup-simplify]: Simplify (+ 1 0) into 1
6.405 * [backup-simplify]: Simplify (sqrt 1) into 1
6.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.406 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.407 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.407 * [taylor]: Taking taylor expansion of re in re
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify 1 into 1
6.407 * [backup-simplify]: Simplify (* 1 1) into 1
6.407 * [backup-simplify]: Simplify (/ 1 1) into 1
6.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.407 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.407 * [taylor]: Taking taylor expansion of im in re
6.407 * [backup-simplify]: Simplify im into im
6.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.408 * [backup-simplify]: Simplify (+ 1 0) into 1
6.408 * [backup-simplify]: Simplify (sqrt 1) into 1
6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.409 * [backup-simplify]: Simplify (+ 0 0) into 0
6.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.409 * [taylor]: Taking taylor expansion of 1 in im
6.409 * [backup-simplify]: Simplify 1 into 1
6.409 * [taylor]: Taking taylor expansion of 0 in im
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 1 into 1
6.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.411 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.411 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.411 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.411 * [taylor]: Taking taylor expansion of 1/2 in im
6.411 * [backup-simplify]: Simplify 1/2 into 1/2
6.411 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.411 * [taylor]: Taking taylor expansion of im in im
6.411 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify 1 into 1
6.412 * [backup-simplify]: Simplify (* 1 1) into 1
6.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.413 * [backup-simplify]: Simplify 0 into 0
6.413 * [backup-simplify]: Simplify 0 into 0
6.413 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.415 * [backup-simplify]: Simplify (+ 0 0) into 0
6.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.415 * [taylor]: Taking taylor expansion of 0 in im
6.415 * [backup-simplify]: Simplify 0 into 0
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.416 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.416 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.416 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.416 * [taylor]: Taking taylor expansion of re in im
6.417 * [backup-simplify]: Simplify re into re
6.417 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.417 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.417 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.417 * [taylor]: Taking taylor expansion of im in im
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (* 1 1) into 1
6.417 * [backup-simplify]: Simplify (/ 1 1) into 1
6.417 * [backup-simplify]: Simplify (+ 0 1) into 1
6.418 * [backup-simplify]: Simplify (sqrt 1) into 1
6.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (+ 0 0) into 0
6.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.419 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.419 * [taylor]: Taking taylor expansion of re in re
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [backup-simplify]: Simplify (* 1 1) into 1
6.420 * [backup-simplify]: Simplify (/ 1 1) into 1
6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.420 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.420 * [taylor]: Taking taylor expansion of im in re
6.420 * [backup-simplify]: Simplify im into im
6.420 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.420 * [backup-simplify]: Simplify (+ 1 0) into 1
6.420 * [backup-simplify]: Simplify (sqrt 1) into 1
6.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.421 * [backup-simplify]: Simplify (+ 0 0) into 0
6.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.422 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.422 * [taylor]: Taking taylor expansion of re in re
6.422 * [backup-simplify]: Simplify 0 into 0
6.422 * [backup-simplify]: Simplify 1 into 1
6.422 * [backup-simplify]: Simplify (* 1 1) into 1
6.422 * [backup-simplify]: Simplify (/ 1 1) into 1
6.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.422 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.423 * [taylor]: Taking taylor expansion of im in re
6.423 * [backup-simplify]: Simplify im into im
6.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.423 * [backup-simplify]: Simplify (+ 1 0) into 1
6.423 * [backup-simplify]: Simplify (sqrt 1) into 1
6.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (+ 0 0) into 0
6.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.425 * [taylor]: Taking taylor expansion of 1 in im
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [taylor]: Taking taylor expansion of 0 in im
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.427 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.427 * [taylor]: Taking taylor expansion of 1/2 in im
6.427 * [backup-simplify]: Simplify 1/2 into 1/2
6.427 * [taylor]: Taking taylor expansion of (pow im 2) in im
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
6.428 * [backup-simplify]: Simplify (* 1 1) into 1
6.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.433 * [backup-simplify]: Simplify (+ 0 0) into 0
6.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.433 * [taylor]: Taking taylor expansion of 0 in im
6.434 * [backup-simplify]: Simplify 0 into 0
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.436 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
6.436 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.436 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.436 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.436 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.436 * [taylor]: Taking taylor expansion of im in im
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 1 into 1
6.436 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.436 * [taylor]: Taking taylor expansion of re in im
6.436 * [backup-simplify]: Simplify re into re
6.437 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.437 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.437 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.437 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.437 * [backup-simplify]: Simplify (+ 0 0) into 0
6.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.438 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.438 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.438 * [taylor]: Taking taylor expansion of im in re
6.438 * [backup-simplify]: Simplify im into im
6.438 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.438 * [taylor]: Taking taylor expansion of re in re
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 1 into 1
6.438 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.438 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.438 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.439 * [backup-simplify]: Simplify (+ 0 0) into 0
6.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.439 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.439 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.439 * [taylor]: Taking taylor expansion of im in re
6.439 * [backup-simplify]: Simplify im into im
6.439 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.439 * [taylor]: Taking taylor expansion of re in re
6.439 * [backup-simplify]: Simplify 0 into 0
6.439 * [backup-simplify]: Simplify 1 into 1
6.439 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.439 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.439 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.440 * [backup-simplify]: Simplify (+ 0 0) into 0
6.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.440 * [taylor]: Taking taylor expansion of im in im
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [taylor]: Taking taylor expansion of 0 in im
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.440 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.441 * [backup-simplify]: Simplify (* 1 1) into 1
6.441 * [backup-simplify]: Simplify (+ 0 1) into 1
6.441 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.441 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.441 * [taylor]: Taking taylor expansion of 1/2 in im
6.441 * [backup-simplify]: Simplify 1/2 into 1/2
6.441 * [taylor]: Taking taylor expansion of im in im
6.441 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 1 into 1
6.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.446 * [backup-simplify]: Simplify (+ 0 0) into 0
6.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.446 * [taylor]: Taking taylor expansion of 0 in im
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.447 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.447 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.447 * [taylor]: Taking taylor expansion of re in im
6.447 * [backup-simplify]: Simplify re into re
6.447 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.447 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.447 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.447 * [taylor]: Taking taylor expansion of im in im
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify 1 into 1
6.448 * [backup-simplify]: Simplify (* 1 1) into 1
6.448 * [backup-simplify]: Simplify (/ 1 1) into 1
6.448 * [backup-simplify]: Simplify (+ 0 1) into 1
6.448 * [backup-simplify]: Simplify (sqrt 1) into 1
6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.449 * [backup-simplify]: Simplify (+ 0 0) into 0
6.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.450 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.450 * [taylor]: Taking taylor expansion of re in re
6.450 * [backup-simplify]: Simplify 0 into 0
6.450 * [backup-simplify]: Simplify 1 into 1
6.450 * [backup-simplify]: Simplify (* 1 1) into 1
6.450 * [backup-simplify]: Simplify (/ 1 1) into 1
6.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.450 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.450 * [taylor]: Taking taylor expansion of im in re
6.450 * [backup-simplify]: Simplify im into im
6.451 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.451 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.451 * [backup-simplify]: Simplify (+ 1 0) into 1
6.451 * [backup-simplify]: Simplify (sqrt 1) into 1
6.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.452 * [backup-simplify]: Simplify (+ 0 0) into 0
6.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.453 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.453 * [taylor]: Taking taylor expansion of re in re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify 1 into 1
6.453 * [backup-simplify]: Simplify (* 1 1) into 1
6.453 * [backup-simplify]: Simplify (/ 1 1) into 1
6.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.453 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.453 * [taylor]: Taking taylor expansion of im in re
6.453 * [backup-simplify]: Simplify im into im
6.453 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.454 * [backup-simplify]: Simplify (+ 1 0) into 1
6.454 * [backup-simplify]: Simplify (sqrt 1) into 1
6.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.455 * [backup-simplify]: Simplify (+ 0 0) into 0
6.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.456 * [taylor]: Taking taylor expansion of 1 in im
6.456 * [backup-simplify]: Simplify 1 into 1
6.456 * [taylor]: Taking taylor expansion of 0 in im
6.456 * [backup-simplify]: Simplify 0 into 0
6.456 * [backup-simplify]: Simplify 1 into 1
6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.457 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.458 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.458 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.458 * [taylor]: Taking taylor expansion of 1/2 in im
6.458 * [backup-simplify]: Simplify 1/2 into 1/2
6.458 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.458 * [taylor]: Taking taylor expansion of im in im
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 1 into 1
6.458 * [backup-simplify]: Simplify (* 1 1) into 1
6.458 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.459 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify 0 into 0
6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.461 * [backup-simplify]: Simplify (+ 0 0) into 0
6.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.462 * [taylor]: Taking taylor expansion of 0 in im
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [backup-simplify]: Simplify 0 into 0
6.463 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.464 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.464 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.464 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.464 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.464 * [taylor]: Taking taylor expansion of re in im
6.464 * [backup-simplify]: Simplify re into re
6.464 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.464 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.464 * [taylor]: Taking taylor expansion of (pow im 2) 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
6.464 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (/ 1 1) into 1
6.465 * [backup-simplify]: Simplify (+ 0 1) into 1
6.465 * [backup-simplify]: Simplify (sqrt 1) into 1
6.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.466 * [backup-simplify]: Simplify (+ 0 0) into 0
6.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.467 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.467 * [taylor]: Taking taylor expansion of re in re
6.467 * [backup-simplify]: Simplify 0 into 0
6.467 * [backup-simplify]: Simplify 1 into 1
6.467 * [backup-simplify]: Simplify (* 1 1) into 1
6.467 * [backup-simplify]: Simplify (/ 1 1) into 1
6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.467 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.467 * [taylor]: Taking taylor expansion of im in re
6.467 * [backup-simplify]: Simplify im into im
6.467 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.468 * [backup-simplify]: Simplify (+ 1 0) into 1
6.468 * [backup-simplify]: Simplify (sqrt 1) into 1
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.469 * [backup-simplify]: Simplify (+ 0 0) into 0
6.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.470 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.470 * [taylor]: Taking taylor expansion of re in re
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.470 * [backup-simplify]: Simplify (* 1 1) into 1
6.470 * [backup-simplify]: Simplify (/ 1 1) into 1
6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.470 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.470 * [taylor]: Taking taylor expansion of im in re
6.470 * [backup-simplify]: Simplify im into im
6.470 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.471 * [backup-simplify]: Simplify (+ 1 0) into 1
6.471 * [backup-simplify]: Simplify (sqrt 1) into 1
6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.472 * [backup-simplify]: Simplify (+ 0 0) into 0
6.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.473 * [taylor]: Taking taylor expansion of 1 in im
6.473 * [backup-simplify]: Simplify 1 into 1
6.473 * [taylor]: Taking taylor expansion of 0 in im
6.473 * [backup-simplify]: Simplify 0 into 0
6.473 * [backup-simplify]: Simplify 1 into 1
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.474 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.475 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.475 * [taylor]: Taking taylor expansion of 1/2 in im
6.475 * [backup-simplify]: Simplify 1/2 into 1/2
6.475 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.475 * [taylor]: Taking taylor expansion of im in im
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 1 into 1
6.475 * [backup-simplify]: Simplify (* 1 1) into 1
6.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.476 * [backup-simplify]: Simplify 0 into 0
6.477 * [backup-simplify]: Simplify 0 into 0
6.477 * [backup-simplify]: Simplify 0 into 0
6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.478 * [backup-simplify]: Simplify (+ 0 0) into 0
6.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.479 * [taylor]: Taking taylor expansion of 0 in im
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.480 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
6.480 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
6.480 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
6.480 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.480 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.480 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.480 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.480 * [taylor]: Taking taylor expansion of im in im
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 1 into 1
6.480 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.480 * [taylor]: Taking taylor expansion of re in im
6.480 * [backup-simplify]: Simplify re into re
6.481 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.481 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.481 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.481 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.481 * [backup-simplify]: Simplify (+ 0 0) into 0
6.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.481 * [taylor]: Taking taylor expansion of re in im
6.481 * [backup-simplify]: Simplify re into re
6.481 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.481 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.481 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.481 * [taylor]: Taking taylor expansion of im in re
6.481 * [backup-simplify]: Simplify im into im
6.481 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.481 * [taylor]: Taking taylor expansion of re in re
6.481 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify 1 into 1
6.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.481 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.482 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.482 * [backup-simplify]: Simplify (+ 0 0) into 0
6.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.482 * [taylor]: Taking taylor expansion of re in re
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 1 into 1
6.482 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.482 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.482 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.482 * [taylor]: Taking taylor expansion of im in re
6.482 * [backup-simplify]: Simplify im into im
6.482 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.482 * [taylor]: Taking taylor expansion of re in re
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 1 into 1
6.482 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.483 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.483 * [backup-simplify]: Simplify (+ 0 0) into 0
6.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.483 * [taylor]: Taking taylor expansion of re in re
6.483 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 1 into 1
6.484 * [backup-simplify]: Simplify (- 0) into 0
6.484 * [backup-simplify]: Simplify (+ im 0) into im
6.484 * [taylor]: Taking taylor expansion of im in im
6.484 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 1 into 1
6.484 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify (- 1) into -1
6.485 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.485 * [taylor]: Taking taylor expansion of -1 in im
6.485 * [backup-simplify]: Simplify -1 into -1
6.485 * [backup-simplify]: Simplify -1 into -1
6.485 * [backup-simplify]: Simplify 1 into 1
6.486 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.486 * [backup-simplify]: Simplify (* 1 1) into 1
6.486 * [backup-simplify]: Simplify (+ 0 1) into 1
6.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.488 * [backup-simplify]: Simplify (- 0) into 0
6.488 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.488 * [taylor]: Taking taylor expansion of 1/2 in im
6.488 * [backup-simplify]: Simplify 1/2 into 1/2
6.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.488 * [taylor]: Taking taylor expansion of im in im
6.488 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify 1 into 1
6.488 * [backup-simplify]: Simplify (/ 1 1) into 1
6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify 0 into 0
6.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.492 * [backup-simplify]: Simplify (+ 0 0) into 0
6.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.493 * [backup-simplify]: Simplify (- 0) into 0
6.493 * [backup-simplify]: Simplify (+ 0 0) into 0
6.493 * [taylor]: Taking taylor expansion of 0 in im
6.493 * [backup-simplify]: Simplify 0 into 0
6.493 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.496 * [backup-simplify]: Simplify 0 into 0
6.496 * [backup-simplify]: Simplify 0 into 0
6.496 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.497 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
6.497 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
6.497 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.497 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.497 * [taylor]: Taking taylor expansion of re in im
6.497 * [backup-simplify]: Simplify re into re
6.497 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.497 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.497 * [taylor]: Taking taylor expansion of im in im
6.497 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify 1 into 1
6.498 * [backup-simplify]: Simplify (* 1 1) into 1
6.498 * [backup-simplify]: Simplify (/ 1 1) into 1
6.499 * [backup-simplify]: Simplify (+ 0 1) into 1
6.499 * [backup-simplify]: Simplify (sqrt 1) into 1
6.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.501 * [backup-simplify]: Simplify (+ 0 0) into 0
6.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.502 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.502 * [taylor]: Taking taylor expansion of re in im
6.502 * [backup-simplify]: Simplify re into re
6.502 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.502 * [taylor]: Taking taylor expansion of re in re
6.502 * [backup-simplify]: Simplify 0 into 0
6.502 * [backup-simplify]: Simplify 1 into 1
6.502 * [backup-simplify]: Simplify (* 1 1) into 1
6.503 * [backup-simplify]: Simplify (/ 1 1) into 1
6.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.503 * [taylor]: Taking taylor expansion of im in re
6.503 * [backup-simplify]: Simplify im into im
6.503 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.503 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.504 * [backup-simplify]: Simplify (+ 1 0) into 1
6.504 * [backup-simplify]: Simplify (sqrt 1) into 1
6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.506 * [backup-simplify]: Simplify (+ 0 0) into 0
6.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.507 * [taylor]: Taking taylor expansion of re in re
6.507 * [backup-simplify]: Simplify 0 into 0
6.507 * [backup-simplify]: Simplify 1 into 1
6.507 * [backup-simplify]: Simplify (/ 1 1) into 1
6.507 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.507 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.507 * [taylor]: Taking taylor expansion of re in re
6.507 * [backup-simplify]: Simplify 0 into 0
6.507 * [backup-simplify]: Simplify 1 into 1
6.508 * [backup-simplify]: Simplify (* 1 1) into 1
6.508 * [backup-simplify]: Simplify (/ 1 1) into 1
6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.508 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.508 * [taylor]: Taking taylor expansion of im in re
6.508 * [backup-simplify]: Simplify im into im
6.508 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.508 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.509 * [backup-simplify]: Simplify (+ 1 0) into 1
6.509 * [backup-simplify]: Simplify (sqrt 1) into 1
6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.511 * [backup-simplify]: Simplify (+ 0 0) into 0
6.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.512 * [taylor]: Taking taylor expansion of re in re
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify 1 into 1
6.512 * [backup-simplify]: Simplify (/ 1 1) into 1
6.513 * [backup-simplify]: Simplify (- 1) into -1
6.513 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.513 * [taylor]: Taking taylor expansion of 0 in im
6.513 * [backup-simplify]: Simplify 0 into 0
6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.514 * [backup-simplify]: Simplify (- 0) into 0
6.515 * [backup-simplify]: Simplify (+ 0 0) into 0
6.515 * [taylor]: Taking taylor expansion of 0 in im
6.515 * [backup-simplify]: Simplify 0 into 0
6.515 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.517 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.518 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.520 * [backup-simplify]: Simplify (- 0) into 0
6.520 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.520 * [taylor]: Taking taylor expansion of 1/2 in im
6.520 * [backup-simplify]: Simplify 1/2 into 1/2
6.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.520 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.520 * [taylor]: Taking taylor expansion of im in im
6.520 * [backup-simplify]: Simplify 0 into 0
6.520 * [backup-simplify]: Simplify 1 into 1
6.521 * [backup-simplify]: Simplify (* 1 1) into 1
6.521 * [backup-simplify]: Simplify (/ 1 1) into 1
6.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.523 * [backup-simplify]: Simplify 0 into 0
6.523 * [backup-simplify]: Simplify 0 into 0
6.523 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.526 * [backup-simplify]: Simplify (+ 0 0) into 0
6.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.528 * [backup-simplify]: Simplify (- 0) into 0
6.529 * [backup-simplify]: Simplify (+ 0 0) into 0
6.529 * [taylor]: Taking taylor expansion of 0 in im
6.529 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
6.533 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
6.533 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.533 * [taylor]: Taking taylor expansion of re in im
6.533 * [backup-simplify]: Simplify re into re
6.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.533 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.533 * [taylor]: Taking taylor expansion of re in im
6.533 * [backup-simplify]: Simplify re into re
6.533 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.533 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.534 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.534 * [taylor]: Taking taylor expansion of im in im
6.534 * [backup-simplify]: Simplify 0 into 0
6.534 * [backup-simplify]: Simplify 1 into 1
6.534 * [backup-simplify]: Simplify (* 1 1) into 1
6.535 * [backup-simplify]: Simplify (/ 1 1) into 1
6.535 * [backup-simplify]: Simplify (+ 0 1) into 1
6.536 * [backup-simplify]: Simplify (sqrt 1) into 1
6.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.537 * [backup-simplify]: Simplify (+ 0 0) into 0
6.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.538 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.538 * [taylor]: Taking taylor expansion of re in re
6.538 * [backup-simplify]: Simplify 0 into 0
6.538 * [backup-simplify]: Simplify 1 into 1
6.539 * [backup-simplify]: Simplify (/ 1 1) into 1
6.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.539 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.539 * [taylor]: Taking taylor expansion of re in re
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 1 into 1
6.540 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (/ 1 1) into 1
6.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.540 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.540 * [taylor]: Taking taylor expansion of im in re
6.540 * [backup-simplify]: Simplify im into im
6.540 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.541 * [backup-simplify]: Simplify (+ 1 0) into 1
6.541 * [backup-simplify]: Simplify (sqrt 1) into 1
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.543 * [backup-simplify]: Simplify (+ 0 0) into 0
6.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.543 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.543 * [taylor]: Taking taylor expansion of re in re
6.543 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify 1 into 1
6.543 * [backup-simplify]: Simplify (/ 1 1) into 1
6.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.544 * [taylor]: Taking taylor expansion of re in re
6.544 * [backup-simplify]: Simplify 0 into 0
6.544 * [backup-simplify]: Simplify 1 into 1
6.544 * [backup-simplify]: Simplify (* 1 1) into 1
6.544 * [backup-simplify]: Simplify (/ 1 1) into 1
6.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.544 * [taylor]: Taking taylor expansion of im in re
6.544 * [backup-simplify]: Simplify im into im
6.544 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.544 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.545 * [backup-simplify]: Simplify (+ 1 0) into 1
6.545 * [backup-simplify]: Simplify (sqrt 1) into 1
6.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.546 * [backup-simplify]: Simplify (+ 0 0) into 0
6.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.546 * [backup-simplify]: Simplify (+ 1 1) into 2
6.547 * [taylor]: Taking taylor expansion of 2 in im
6.547 * [backup-simplify]: Simplify 2 into 2
6.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.547 * [backup-simplify]: Simplify (+ 0 0) into 0
6.547 * [taylor]: Taking taylor expansion of 0 in im
6.547 * [backup-simplify]: Simplify 0 into 0
6.547 * [backup-simplify]: Simplify 2 into 2
6.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.549 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.550 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.550 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.550 * [taylor]: Taking taylor expansion of 1/2 in im
6.550 * [backup-simplify]: Simplify 1/2 into 1/2
6.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.550 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.550 * [taylor]: Taking taylor expansion of im in im
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify 1 into 1
6.550 * [backup-simplify]: Simplify (* 1 1) into 1
6.551 * [backup-simplify]: Simplify (/ 1 1) into 1
6.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.552 * [backup-simplify]: Simplify 0 into 0
6.552 * [backup-simplify]: Simplify 0 into 0
6.552 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.554 * [backup-simplify]: Simplify (+ 0 0) into 0
6.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.555 * [backup-simplify]: Simplify (+ 0 0) into 0
6.555 * [taylor]: Taking taylor expansion of 0 in im
6.555 * [backup-simplify]: Simplify 0 into 0
6.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
6.558 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
6.558 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.558 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.558 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.558 * [taylor]: Taking taylor expansion of im in im
6.558 * [backup-simplify]: Simplify 0 into 0
6.558 * [backup-simplify]: Simplify 1 into 1
6.558 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.558 * [taylor]: Taking taylor expansion of re in im
6.558 * [backup-simplify]: Simplify re into re
6.558 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.558 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.558 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.558 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.559 * [backup-simplify]: Simplify (+ 0 0) into 0
6.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.559 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.559 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.559 * [taylor]: Taking taylor expansion of im in re
6.559 * [backup-simplify]: Simplify im into im
6.559 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.559 * [taylor]: Taking taylor expansion of re in re
6.559 * [backup-simplify]: Simplify 0 into 0
6.559 * [backup-simplify]: Simplify 1 into 1
6.559 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.559 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.559 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.559 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.559 * [backup-simplify]: Simplify (+ 0 0) into 0
6.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.559 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.560 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.560 * [taylor]: Taking taylor expansion of im in re
6.560 * [backup-simplify]: Simplify im into im
6.560 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.560 * [taylor]: Taking taylor expansion of re in re
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify 1 into 1
6.560 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.560 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.560 * [backup-simplify]: Simplify (+ 0 0) into 0
6.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.560 * [taylor]: Taking taylor expansion of im in im
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify 1 into 1
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [taylor]: Taking taylor expansion of 0 in im
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify 1 into 1
6.561 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.561 * [backup-simplify]: Simplify (* 1 1) into 1
6.561 * [backup-simplify]: Simplify (+ 0 1) into 1
6.562 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.562 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.562 * [taylor]: Taking taylor expansion of 1/2 in im
6.562 * [backup-simplify]: Simplify 1/2 into 1/2
6.562 * [taylor]: Taking taylor expansion of im in im
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.564 * [backup-simplify]: Simplify 0 into 0
6.564 * [backup-simplify]: Simplify 0 into 0
6.564 * [backup-simplify]: Simplify 0 into 0
6.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.565 * [backup-simplify]: Simplify (+ 0 0) into 0
6.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.565 * [taylor]: Taking taylor expansion of 0 in im
6.565 * [backup-simplify]: Simplify 0 into 0
6.565 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.566 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.566 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.566 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.566 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.566 * [taylor]: Taking taylor expansion of re in im
6.566 * [backup-simplify]: Simplify re into re
6.566 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.567 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.567 * [taylor]: Taking taylor expansion of im in im
6.567 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify 1 into 1
6.567 * [backup-simplify]: Simplify (* 1 1) into 1
6.567 * [backup-simplify]: Simplify (/ 1 1) into 1
6.567 * [backup-simplify]: Simplify (+ 0 1) into 1
6.568 * [backup-simplify]: Simplify (sqrt 1) into 1
6.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.569 * [backup-simplify]: Simplify (+ 0 0) into 0
6.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.569 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.569 * [taylor]: Taking taylor expansion of re in re
6.569 * [backup-simplify]: Simplify 0 into 0
6.569 * [backup-simplify]: Simplify 1 into 1
6.569 * [backup-simplify]: Simplify (* 1 1) into 1
6.570 * [backup-simplify]: Simplify (/ 1 1) into 1
6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.570 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.570 * [taylor]: Taking taylor expansion of im in re
6.570 * [backup-simplify]: Simplify im into im
6.570 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.570 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.570 * [backup-simplify]: Simplify (+ 1 0) into 1
6.570 * [backup-simplify]: Simplify (sqrt 1) into 1
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 (+ 0 0) into 0
6.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.572 * [taylor]: Taking taylor expansion of re in re
6.572 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify 1 into 1
6.572 * [backup-simplify]: Simplify (* 1 1) into 1
6.573 * [backup-simplify]: Simplify (/ 1 1) into 1
6.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.573 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.573 * [taylor]: Taking taylor expansion of im in re
6.573 * [backup-simplify]: Simplify im into im
6.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.573 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.573 * [backup-simplify]: Simplify (+ 1 0) into 1
6.573 * [backup-simplify]: Simplify (sqrt 1) into 1
6.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.574 * [backup-simplify]: Simplify (+ 0 0) into 0
6.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.575 * [taylor]: Taking taylor expansion of 1 in im
6.575 * [backup-simplify]: Simplify 1 into 1
6.575 * [taylor]: Taking taylor expansion of 0 in im
6.575 * [backup-simplify]: Simplify 0 into 0
6.575 * [backup-simplify]: Simplify 1 into 1
6.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.576 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.577 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.577 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.577 * [taylor]: Taking taylor expansion of 1/2 in im
6.577 * [backup-simplify]: Simplify 1/2 into 1/2
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
6.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.578 * [backup-simplify]: Simplify 0 into 0
6.578 * [backup-simplify]: Simplify 0 into 0
6.578 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.580 * [backup-simplify]: Simplify (+ 0 0) into 0
6.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.580 * [taylor]: Taking taylor expansion of 0 in im
6.581 * [backup-simplify]: Simplify 0 into 0
6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.582 * [backup-simplify]: Simplify 0 into 0
6.582 * [backup-simplify]: Simplify 0 into 0
6.582 * [backup-simplify]: Simplify 0 into 0
6.582 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.582 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.582 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.582 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.582 * [taylor]: Taking taylor expansion of re in im
6.583 * [backup-simplify]: Simplify re into re
6.583 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.583 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.583 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.583 * [taylor]: Taking taylor expansion of im in im
6.583 * [backup-simplify]: Simplify 0 into 0
6.583 * [backup-simplify]: Simplify 1 into 1
6.583 * [backup-simplify]: Simplify (* 1 1) into 1
6.584 * [backup-simplify]: Simplify (/ 1 1) into 1
6.584 * [backup-simplify]: Simplify (+ 0 1) into 1
6.584 * [backup-simplify]: Simplify (sqrt 1) into 1
6.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.586 * [backup-simplify]: Simplify (+ 0 0) into 0
6.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.587 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1
6.588 * [backup-simplify]: Simplify (/ 1 1) into 1
6.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.588 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.588 * [taylor]: Taking taylor expansion of im in re
6.588 * [backup-simplify]: Simplify im into im
6.588 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.588 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.588 * [backup-simplify]: Simplify (+ 1 0) into 1
6.589 * [backup-simplify]: Simplify (sqrt 1) into 1
6.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.591 * [backup-simplify]: Simplify (+ 0 0) into 0
6.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.591 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.591 * [taylor]: Taking taylor expansion of re in re
6.591 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify 1 into 1
6.592 * [backup-simplify]: Simplify (* 1 1) into 1
6.592 * [backup-simplify]: Simplify (/ 1 1) into 1
6.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.592 * [taylor]: Taking taylor expansion of im in re
6.592 * [backup-simplify]: Simplify im into im
6.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.593 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.593 * [backup-simplify]: Simplify (+ 1 0) into 1
6.593 * [backup-simplify]: Simplify (sqrt 1) into 1
6.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.595 * [backup-simplify]: Simplify (+ 0 0) into 0
6.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.596 * [taylor]: Taking taylor expansion of 1 in im
6.596 * [backup-simplify]: Simplify 1 into 1
6.596 * [taylor]: Taking taylor expansion of 0 in im
6.596 * [backup-simplify]: Simplify 0 into 0
6.596 * [backup-simplify]: Simplify 1 into 1
6.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.598 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.599 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.599 * [taylor]: Taking taylor expansion of 1/2 in im
6.599 * [backup-simplify]: Simplify 1/2 into 1/2
6.599 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.599 * [taylor]: Taking taylor expansion of im in im
6.599 * [backup-simplify]: Simplify 0 into 0
6.599 * [backup-simplify]: Simplify 1 into 1
6.600 * [backup-simplify]: Simplify (* 1 1) into 1
6.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.601 * [backup-simplify]: Simplify 0 into 0
6.602 * [backup-simplify]: Simplify 0 into 0
6.602 * [backup-simplify]: Simplify 0 into 0
6.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.603 * [backup-simplify]: Simplify (+ 0 0) into 0
6.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.604 * [taylor]: Taking taylor expansion of 0 in im
6.604 * [backup-simplify]: Simplify 0 into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.605 * [backup-simplify]: Simplify 0 into 0
6.605 * [backup-simplify]: Simplify 0 into 0
6.605 * [backup-simplify]: Simplify 0 into 0
6.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.606 * * * [progress]: simplifying candidates
6.608 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
6.610 * * [simplify]: iteration 0: 138 enodes
6.666 * * [simplify]: iteration 1: 295 enodes
6.833 * * [simplify]: iteration 2: 1373 enodes
8.238 * * [simplify]: iteration complete: 5001 enodes
8.238 * * [simplify]: Extracting #0: cost 48 inf + 0
8.241 * * [simplify]: Extracting #1: cost 1406 inf + 89
8.252 * * [simplify]: Extracting #2: cost 1621 inf + 1545
8.264 * * [simplify]: Extracting #3: cost 1672 inf + 9473
8.288 * * [simplify]: Extracting #4: cost 1271 inf + 93567
8.366 * * [simplify]: Extracting #5: cost 485 inf + 292402
8.462 * * [simplify]: Extracting #6: cost 147 inf + 398291
8.591 * * [simplify]: Extracting #7: cost 5 inf + 443851
8.742 * * [simplify]: Extracting #8: cost 0 inf + 445316
8.855 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))
  (+ (+ (* re re) (* im im)) (+ (* re (sqrt (+ (* re re) (* im im)))) (* re re)))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  im
  re
  (- re)
8.887 * * * [progress]: adding candidates to table
9.544 * * [progress]: iteration 4 / 4
9.544 * * * [progress]: picking best candidate
9.589 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
9.589 * * * [progress]: localizing error
9.699 * * * [progress]: generating rewritten candidates
9.699 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
9.711 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
9.717 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
9.725 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
9.732 * * * [progress]: generating series expansions
9.732 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
9.733 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.733 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.733 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.733 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.733 * [taylor]: Taking taylor expansion of im in im
9.733 * [backup-simplify]: Simplify 0 into 0
9.733 * [backup-simplify]: Simplify 1 into 1
9.733 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.733 * [taylor]: Taking taylor expansion of re in im
9.733 * [backup-simplify]: Simplify re into re
9.733 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.733 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.733 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.733 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.734 * [backup-simplify]: Simplify (+ 0 0) into 0
9.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.734 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.734 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.734 * [taylor]: Taking taylor expansion of im in re
9.734 * [backup-simplify]: Simplify im into im
9.734 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.734 * [taylor]: Taking taylor expansion of re in re
9.734 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify 1 into 1
9.734 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.734 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.734 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.734 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.735 * [backup-simplify]: Simplify (+ 0 0) into 0
9.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.735 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.735 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.735 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.735 * [taylor]: Taking taylor expansion of im in re
9.735 * [backup-simplify]: Simplify im into im
9.735 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.735 * [taylor]: Taking taylor expansion of re in re
9.735 * [backup-simplify]: Simplify 0 into 0
9.735 * [backup-simplify]: Simplify 1 into 1
9.735 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.735 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.735 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.735 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.735 * [backup-simplify]: Simplify (+ 0 0) into 0
9.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.736 * [taylor]: Taking taylor expansion of im in im
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify 1 into 1
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [taylor]: Taking taylor expansion of 0 in im
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify 0 into 0
9.736 * [backup-simplify]: Simplify 1 into 1
9.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.736 * [backup-simplify]: Simplify (* 1 1) into 1
9.737 * [backup-simplify]: Simplify (+ 0 1) into 1
9.737 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.737 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.737 * [taylor]: Taking taylor expansion of 1/2 in im
9.737 * [backup-simplify]: Simplify 1/2 into 1/2
9.737 * [taylor]: Taking taylor expansion of im in im
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [backup-simplify]: Simplify 1 into 1
9.737 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.738 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify 0 into 0
9.739 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.739 * [backup-simplify]: Simplify (+ 0 0) into 0
9.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.739 * [taylor]: Taking taylor expansion of 0 in im
9.739 * [backup-simplify]: Simplify 0 into 0
9.739 * [backup-simplify]: Simplify 0 into 0
9.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.740 * [backup-simplify]: Simplify 0 into 0
9.740 * [backup-simplify]: Simplify 0 into 0
9.740 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.740 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.740 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.740 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.740 * [taylor]: Taking taylor expansion of re in im
9.740 * [backup-simplify]: Simplify re into re
9.740 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.740 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.741 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.741 * [taylor]: Taking taylor expansion of im in im
9.741 * [backup-simplify]: Simplify 0 into 0
9.741 * [backup-simplify]: Simplify 1 into 1
9.741 * [backup-simplify]: Simplify (* 1 1) into 1
9.741 * [backup-simplify]: Simplify (/ 1 1) into 1
9.741 * [backup-simplify]: Simplify (+ 0 1) into 1
9.742 * [backup-simplify]: Simplify (sqrt 1) into 1
9.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.743 * [backup-simplify]: Simplify (+ 0 0) into 0
9.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.744 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.744 * [taylor]: Taking taylor expansion of re in re
9.744 * [backup-simplify]: Simplify 0 into 0
9.744 * [backup-simplify]: Simplify 1 into 1
9.744 * [backup-simplify]: Simplify (* 1 1) into 1
9.745 * [backup-simplify]: Simplify (/ 1 1) into 1
9.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.745 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.745 * [taylor]: Taking taylor expansion of im in re
9.745 * [backup-simplify]: Simplify im into im
9.745 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.745 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.746 * [backup-simplify]: Simplify (+ 1 0) into 1
9.746 * [backup-simplify]: Simplify (sqrt 1) into 1
9.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.747 * [backup-simplify]: Simplify (+ 0 0) into 0
9.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.748 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.748 * [taylor]: Taking taylor expansion of re in re
9.748 * [backup-simplify]: Simplify 0 into 0
9.748 * [backup-simplify]: Simplify 1 into 1
9.748 * [backup-simplify]: Simplify (* 1 1) into 1
9.748 * [backup-simplify]: Simplify (/ 1 1) into 1
9.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.748 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.748 * [taylor]: Taking taylor expansion of im in re
9.748 * [backup-simplify]: Simplify im into im
9.749 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.749 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.749 * [backup-simplify]: Simplify (+ 1 0) into 1
9.749 * [backup-simplify]: Simplify (sqrt 1) into 1
9.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.750 * [backup-simplify]: Simplify (+ 0 0) into 0
9.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.751 * [taylor]: Taking taylor expansion of 1 in im
9.751 * [backup-simplify]: Simplify 1 into 1
9.751 * [taylor]: Taking taylor expansion of 0 in im
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [backup-simplify]: Simplify 1 into 1
9.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.753 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.753 * [taylor]: Taking taylor expansion of 1/2 in im
9.753 * [backup-simplify]: Simplify 1/2 into 1/2
9.753 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.753 * [taylor]: Taking taylor expansion of im in im
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 1 into 1
9.753 * [backup-simplify]: Simplify (* 1 1) into 1
9.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.756 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.756 * [backup-simplify]: Simplify (+ 0 0) into 0
9.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.756 * [taylor]: Taking taylor expansion of 0 in im
9.756 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.758 * [backup-simplify]: Simplify 0 into 0
9.758 * [backup-simplify]: Simplify 0 into 0
9.758 * [backup-simplify]: Simplify 0 into 0
9.758 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.758 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.758 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.758 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.758 * [taylor]: Taking taylor expansion of re in im
9.758 * [backup-simplify]: Simplify re into re
9.758 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.758 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.758 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.758 * [taylor]: Taking taylor expansion of im in im
9.758 * [backup-simplify]: Simplify 0 into 0
9.758 * [backup-simplify]: Simplify 1 into 1
9.759 * [backup-simplify]: Simplify (* 1 1) into 1
9.759 * [backup-simplify]: Simplify (/ 1 1) into 1
9.759 * [backup-simplify]: Simplify (+ 0 1) into 1
9.759 * [backup-simplify]: Simplify (sqrt 1) into 1
9.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.760 * [backup-simplify]: Simplify (+ 0 0) into 0
9.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.761 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.761 * [taylor]: Taking taylor expansion of re in re
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [backup-simplify]: Simplify 1 into 1
9.761 * [backup-simplify]: Simplify (* 1 1) into 1
9.761 * [backup-simplify]: Simplify (/ 1 1) into 1
9.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.761 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.761 * [taylor]: Taking taylor expansion of im in re
9.761 * [backup-simplify]: Simplify im into im
9.762 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.762 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.762 * [backup-simplify]: Simplify (+ 1 0) into 1
9.762 * [backup-simplify]: Simplify (sqrt 1) into 1
9.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.763 * [backup-simplify]: Simplify (+ 0 0) into 0
9.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.764 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.764 * [taylor]: Taking taylor expansion of re in re
9.764 * [backup-simplify]: Simplify 0 into 0
9.764 * [backup-simplify]: Simplify 1 into 1
9.764 * [backup-simplify]: Simplify (* 1 1) into 1
9.764 * [backup-simplify]: Simplify (/ 1 1) into 1
9.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.764 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.764 * [taylor]: Taking taylor expansion of im in re
9.764 * [backup-simplify]: Simplify im into im
9.764 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.765 * [backup-simplify]: Simplify (+ 1 0) into 1
9.765 * [backup-simplify]: Simplify (sqrt 1) into 1
9.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.766 * [backup-simplify]: Simplify (+ 0 0) into 0
9.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.766 * [taylor]: Taking taylor expansion of 1 in im
9.766 * [backup-simplify]: Simplify 1 into 1
9.766 * [taylor]: Taking taylor expansion of 0 in im
9.767 * [backup-simplify]: Simplify 0 into 0
9.767 * [backup-simplify]: Simplify 1 into 1
9.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.768 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.769 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.769 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.769 * [taylor]: Taking taylor expansion of 1/2 in im
9.769 * [backup-simplify]: Simplify 1/2 into 1/2
9.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.769 * [taylor]: Taking taylor expansion of im in im
9.769 * [backup-simplify]: Simplify 0 into 0
9.769 * [backup-simplify]: Simplify 1 into 1
9.769 * [backup-simplify]: Simplify (* 1 1) into 1
9.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.770 * [backup-simplify]: Simplify 0 into 0
9.770 * [backup-simplify]: Simplify 0 into 0
9.770 * [backup-simplify]: Simplify 0 into 0
9.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.772 * [backup-simplify]: Simplify (+ 0 0) into 0
9.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.772 * [taylor]: Taking taylor expansion of 0 in im
9.772 * [backup-simplify]: Simplify 0 into 0
9.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.774 * [backup-simplify]: Simplify 0 into 0
9.774 * [backup-simplify]: Simplify 0 into 0
9.774 * [backup-simplify]: Simplify 0 into 0
9.774 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.774 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
9.774 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.774 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.774 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.774 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.774 * [taylor]: Taking taylor expansion of im in im
9.774 * [backup-simplify]: Simplify 0 into 0
9.774 * [backup-simplify]: Simplify 1 into 1
9.774 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.774 * [taylor]: Taking taylor expansion of re in im
9.774 * [backup-simplify]: Simplify re into re
9.774 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.774 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.774 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.774 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.775 * [backup-simplify]: Simplify (+ 0 0) into 0
9.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.775 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.775 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.775 * [taylor]: Taking taylor expansion of im in re
9.775 * [backup-simplify]: Simplify im into im
9.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.775 * [taylor]: Taking taylor expansion of re in re
9.775 * [backup-simplify]: Simplify 0 into 0
9.775 * [backup-simplify]: Simplify 1 into 1
9.775 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.775 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.775 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.775 * [backup-simplify]: Simplify (+ 0 0) into 0
9.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.775 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.776 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.776 * [taylor]: Taking taylor expansion of im in re
9.776 * [backup-simplify]: Simplify im into im
9.776 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.776 * [taylor]: Taking taylor expansion of re in re
9.776 * [backup-simplify]: Simplify 0 into 0
9.776 * [backup-simplify]: Simplify 1 into 1
9.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.776 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.776 * [backup-simplify]: Simplify (+ 0 0) into 0
9.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.776 * [taylor]: Taking taylor expansion of im in im
9.776 * [backup-simplify]: Simplify 0 into 0
9.776 * [backup-simplify]: Simplify 1 into 1
9.776 * [backup-simplify]: Simplify 0 into 0
9.776 * [taylor]: Taking taylor expansion of 0 in im
9.776 * [backup-simplify]: Simplify 0 into 0
9.776 * [backup-simplify]: Simplify 0 into 0
9.776 * [backup-simplify]: Simplify 1 into 1
9.777 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.777 * [backup-simplify]: Simplify (* 1 1) into 1
9.777 * [backup-simplify]: Simplify (+ 0 1) into 1
9.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.778 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.778 * [taylor]: Taking taylor expansion of 1/2 in im
9.778 * [backup-simplify]: Simplify 1/2 into 1/2
9.778 * [taylor]: Taking taylor expansion of im in im
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [backup-simplify]: Simplify 1 into 1
9.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.781 * [backup-simplify]: Simplify (+ 0 0) into 0
9.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.781 * [taylor]: Taking taylor expansion of 0 in im
9.781 * [backup-simplify]: Simplify 0 into 0
9.781 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.782 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.783 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.783 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.783 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.783 * [taylor]: Taking taylor expansion of re in im
9.783 * [backup-simplify]: Simplify re into re
9.783 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.783 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.783 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.783 * [taylor]: Taking taylor expansion of im in im
9.783 * [backup-simplify]: Simplify 0 into 0
9.783 * [backup-simplify]: Simplify 1 into 1
9.783 * [backup-simplify]: Simplify (* 1 1) into 1
9.784 * [backup-simplify]: Simplify (/ 1 1) into 1
9.784 * [backup-simplify]: Simplify (+ 0 1) into 1
9.785 * [backup-simplify]: Simplify (sqrt 1) into 1
9.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.786 * [backup-simplify]: Simplify (+ 0 0) into 0
9.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.787 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.787 * [taylor]: Taking taylor expansion of re in re
9.787 * [backup-simplify]: Simplify 0 into 0
9.787 * [backup-simplify]: Simplify 1 into 1
9.787 * [backup-simplify]: Simplify (* 1 1) into 1
9.788 * [backup-simplify]: Simplify (/ 1 1) into 1
9.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.788 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.788 * [taylor]: Taking taylor expansion of im in re
9.788 * [backup-simplify]: Simplify im into im
9.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.788 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.789 * [backup-simplify]: Simplify (+ 1 0) into 1
9.789 * [backup-simplify]: Simplify (sqrt 1) into 1
9.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.791 * [backup-simplify]: Simplify (+ 0 0) into 0
9.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.791 * [taylor]: Taking taylor expansion of re in re
9.791 * [backup-simplify]: Simplify 0 into 0
9.791 * [backup-simplify]: Simplify 1 into 1
9.792 * [backup-simplify]: Simplify (* 1 1) into 1
9.792 * [backup-simplify]: Simplify (/ 1 1) into 1
9.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.792 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.792 * [taylor]: Taking taylor expansion of im in re
9.792 * [backup-simplify]: Simplify im into im
9.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.793 * [backup-simplify]: Simplify (+ 1 0) into 1
9.793 * [backup-simplify]: Simplify (sqrt 1) into 1
9.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.795 * [backup-simplify]: Simplify (+ 0 0) into 0
9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.796 * [taylor]: Taking taylor expansion of 1 in im
9.796 * [backup-simplify]: Simplify 1 into 1
9.796 * [taylor]: Taking taylor expansion of 0 in im
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 1 into 1
9.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.798 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.799 * [taylor]: Taking taylor expansion of 1/2 in im
9.799 * [backup-simplify]: Simplify 1/2 into 1/2
9.799 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.799 * [taylor]: Taking taylor expansion of im in im
9.799 * [backup-simplify]: Simplify 0 into 0
9.799 * [backup-simplify]: Simplify 1 into 1
9.799 * [backup-simplify]: Simplify (* 1 1) into 1
9.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.801 * [backup-simplify]: Simplify 0 into 0
9.801 * [backup-simplify]: Simplify 0 into 0
9.801 * [backup-simplify]: Simplify 0 into 0
9.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.804 * [backup-simplify]: Simplify (+ 0 0) into 0
9.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.805 * [taylor]: Taking taylor expansion of 0 in im
9.805 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [backup-simplify]: Simplify 0 into 0
9.807 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.807 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.808 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.808 * [taylor]: Taking taylor expansion of re in im
9.808 * [backup-simplify]: Simplify re into re
9.808 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.808 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.808 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.808 * [taylor]: Taking taylor expansion of im in im
9.808 * [backup-simplify]: Simplify 0 into 0
9.808 * [backup-simplify]: Simplify 1 into 1
9.808 * [backup-simplify]: Simplify (* 1 1) into 1
9.809 * [backup-simplify]: Simplify (/ 1 1) into 1
9.809 * [backup-simplify]: Simplify (+ 0 1) into 1
9.810 * [backup-simplify]: Simplify (sqrt 1) into 1
9.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.811 * [backup-simplify]: Simplify (+ 0 0) into 0
9.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.812 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.812 * [taylor]: Taking taylor expansion of re in re
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 1 into 1
9.813 * [backup-simplify]: Simplify (* 1 1) into 1
9.813 * [backup-simplify]: Simplify (/ 1 1) into 1
9.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.813 * [taylor]: Taking taylor expansion of im in re
9.813 * [backup-simplify]: Simplify im into im
9.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.814 * [backup-simplify]: Simplify (+ 1 0) into 1
9.814 * [backup-simplify]: Simplify (sqrt 1) into 1
9.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.816 * [backup-simplify]: Simplify (+ 0 0) into 0
9.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.817 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.817 * [taylor]: Taking taylor expansion of re in re
9.817 * [backup-simplify]: Simplify 0 into 0
9.817 * [backup-simplify]: Simplify 1 into 1
9.817 * [backup-simplify]: Simplify (* 1 1) into 1
9.818 * [backup-simplify]: Simplify (/ 1 1) into 1
9.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.818 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.818 * [taylor]: Taking taylor expansion of im in re
9.818 * [backup-simplify]: Simplify im into im
9.818 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.818 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.818 * [backup-simplify]: Simplify (+ 1 0) into 1
9.819 * [backup-simplify]: Simplify (sqrt 1) into 1
9.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.821 * [backup-simplify]: Simplify (+ 0 0) into 0
9.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.821 * [taylor]: Taking taylor expansion of 1 in im
9.821 * [backup-simplify]: Simplify 1 into 1
9.822 * [taylor]: Taking taylor expansion of 0 in im
9.822 * [backup-simplify]: Simplify 0 into 0
9.822 * [backup-simplify]: Simplify 1 into 1
9.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.824 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.825 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.825 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.825 * [taylor]: Taking taylor expansion of 1/2 in im
9.825 * [backup-simplify]: Simplify 1/2 into 1/2
9.825 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.825 * [taylor]: Taking taylor expansion of im in im
9.825 * [backup-simplify]: Simplify 0 into 0
9.825 * [backup-simplify]: Simplify 1 into 1
9.826 * [backup-simplify]: Simplify (* 1 1) into 1
9.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.828 * [backup-simplify]: Simplify 0 into 0
9.828 * [backup-simplify]: Simplify 0 into 0
9.828 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.831 * [backup-simplify]: Simplify (+ 0 0) into 0
9.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.831 * [taylor]: Taking taylor expansion of 0 in im
9.831 * [backup-simplify]: Simplify 0 into 0
9.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.833 * [backup-simplify]: Simplify 0 into 0
9.833 * [backup-simplify]: Simplify 0 into 0
9.833 * [backup-simplify]: Simplify 0 into 0
9.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.833 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
9.834 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.834 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.834 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.834 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.834 * [taylor]: Taking taylor expansion of im in im
9.834 * [backup-simplify]: Simplify 0 into 0
9.834 * [backup-simplify]: Simplify 1 into 1
9.834 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.834 * [taylor]: Taking taylor expansion of re in im
9.834 * [backup-simplify]: Simplify re into re
9.834 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.834 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.834 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.835 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.835 * [backup-simplify]: Simplify (+ 0 0) into 0
9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.835 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.835 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.835 * [taylor]: Taking taylor expansion of im in re
9.835 * [backup-simplify]: Simplify im into im
9.835 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.835 * [taylor]: Taking taylor expansion of re in re
9.835 * [backup-simplify]: Simplify 0 into 0
9.835 * [backup-simplify]: Simplify 1 into 1
9.836 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.836 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.836 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.841 * [backup-simplify]: Simplify (+ 0 0) into 0
9.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.841 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.841 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.841 * [taylor]: Taking taylor expansion of im in re
9.842 * [backup-simplify]: Simplify im into im
9.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.842 * [taylor]: Taking taylor expansion of re in re
9.842 * [backup-simplify]: Simplify 0 into 0
9.842 * [backup-simplify]: Simplify 1 into 1
9.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.842 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.842 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.842 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.843 * [backup-simplify]: Simplify (+ 0 0) into 0
9.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.844 * [taylor]: Taking taylor expansion of im in im
9.844 * [backup-simplify]: Simplify 0 into 0
9.844 * [backup-simplify]: Simplify 1 into 1
9.844 * [backup-simplify]: Simplify 0 into 0
9.844 * [taylor]: Taking taylor expansion of 0 in im
9.844 * [backup-simplify]: Simplify 0 into 0
9.844 * [backup-simplify]: Simplify 0 into 0
9.844 * [backup-simplify]: Simplify 1 into 1
9.844 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.845 * [backup-simplify]: Simplify (* 1 1) into 1
9.845 * [backup-simplify]: Simplify (+ 0 1) into 1
9.846 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.846 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.846 * [taylor]: Taking taylor expansion of 1/2 in im
9.846 * [backup-simplify]: Simplify 1/2 into 1/2
9.846 * [taylor]: Taking taylor expansion of im in im
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [backup-simplify]: Simplify 1 into 1
9.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.848 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.849 * [backup-simplify]: Simplify (+ 0 0) into 0
9.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.849 * [taylor]: Taking taylor expansion of 0 in im
9.849 * [backup-simplify]: Simplify 0 into 0
9.849 * [backup-simplify]: Simplify 0 into 0
9.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.850 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.851 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.851 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.851 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.851 * [taylor]: Taking taylor expansion of re in im
9.851 * [backup-simplify]: Simplify re into re
9.851 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.851 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.852 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.852 * [taylor]: Taking taylor expansion of im in im
9.852 * [backup-simplify]: Simplify 0 into 0
9.852 * [backup-simplify]: Simplify 1 into 1
9.852 * [backup-simplify]: Simplify (* 1 1) into 1
9.852 * [backup-simplify]: Simplify (/ 1 1) into 1
9.853 * [backup-simplify]: Simplify (+ 0 1) into 1
9.853 * [backup-simplify]: Simplify (sqrt 1) into 1
9.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.855 * [backup-simplify]: Simplify (+ 0 0) into 0
9.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.856 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.856 * [taylor]: Taking taylor expansion of re in re
9.856 * [backup-simplify]: Simplify 0 into 0
9.856 * [backup-simplify]: Simplify 1 into 1
9.856 * [backup-simplify]: Simplify (* 1 1) into 1
9.856 * [backup-simplify]: Simplify (/ 1 1) into 1
9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.857 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.857 * [taylor]: Taking taylor expansion of im in re
9.857 * [backup-simplify]: Simplify im into im
9.857 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.857 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.857 * [backup-simplify]: Simplify (+ 1 0) into 1
9.858 * [backup-simplify]: Simplify (sqrt 1) into 1
9.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.859 * [backup-simplify]: Simplify (+ 0 0) into 0
9.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.860 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.860 * [taylor]: Taking taylor expansion of re in re
9.860 * [backup-simplify]: Simplify 0 into 0
9.860 * [backup-simplify]: Simplify 1 into 1
9.861 * [backup-simplify]: Simplify (* 1 1) into 1
9.861 * [backup-simplify]: Simplify (/ 1 1) into 1
9.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.861 * [taylor]: Taking taylor expansion of im in re
9.861 * [backup-simplify]: Simplify im into im
9.861 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.861 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.862 * [backup-simplify]: Simplify (+ 1 0) into 1
9.862 * [backup-simplify]: Simplify (sqrt 1) into 1
9.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.864 * [backup-simplify]: Simplify (+ 0 0) into 0
9.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.865 * [taylor]: Taking taylor expansion of 1 in im
9.865 * [backup-simplify]: Simplify 1 into 1
9.865 * [taylor]: Taking taylor expansion of 0 in im
9.865 * [backup-simplify]: Simplify 0 into 0
9.865 * [backup-simplify]: Simplify 1 into 1
9.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.867 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.868 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.868 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.868 * [taylor]: Taking taylor expansion of 1/2 in im
9.868 * [backup-simplify]: Simplify 1/2 into 1/2
9.868 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.868 * [taylor]: Taking taylor expansion of im in im
9.868 * [backup-simplify]: Simplify 0 into 0
9.868 * [backup-simplify]: Simplify 1 into 1
9.868 * [backup-simplify]: Simplify (* 1 1) into 1
9.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.871 * [backup-simplify]: Simplify 0 into 0
9.871 * [backup-simplify]: Simplify 0 into 0
9.871 * [backup-simplify]: Simplify 0 into 0
9.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.873 * [backup-simplify]: Simplify (+ 0 0) into 0
9.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.874 * [taylor]: Taking taylor expansion of 0 in im
9.874 * [backup-simplify]: Simplify 0 into 0
9.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.876 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.877 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.877 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.877 * [taylor]: Taking taylor expansion of re in im
9.877 * [backup-simplify]: Simplify re into re
9.877 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.877 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.877 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.877 * [taylor]: Taking taylor expansion of im in im
9.877 * [backup-simplify]: Simplify 0 into 0
9.877 * [backup-simplify]: Simplify 1 into 1
9.877 * [backup-simplify]: Simplify (* 1 1) into 1
9.878 * [backup-simplify]: Simplify (/ 1 1) into 1
9.878 * [backup-simplify]: Simplify (+ 0 1) into 1
9.879 * [backup-simplify]: Simplify (sqrt 1) into 1
9.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.880 * [backup-simplify]: Simplify (+ 0 0) into 0
9.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.881 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.881 * [taylor]: Taking taylor expansion of re in re
9.881 * [backup-simplify]: Simplify 0 into 0
9.881 * [backup-simplify]: Simplify 1 into 1
9.881 * [backup-simplify]: Simplify (* 1 1) into 1
9.882 * [backup-simplify]: Simplify (/ 1 1) into 1
9.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.882 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.882 * [taylor]: Taking taylor expansion of im in re
9.882 * [backup-simplify]: Simplify im into im
9.882 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.882 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.883 * [backup-simplify]: Simplify (+ 1 0) into 1
9.883 * [backup-simplify]: Simplify (sqrt 1) into 1
9.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.885 * [backup-simplify]: Simplify (+ 0 0) into 0
9.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.885 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.885 * [taylor]: Taking taylor expansion of re in re
9.885 * [backup-simplify]: Simplify 0 into 0
9.885 * [backup-simplify]: Simplify 1 into 1
9.886 * [backup-simplify]: Simplify (* 1 1) into 1
9.886 * [backup-simplify]: Simplify (/ 1 1) into 1
9.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.886 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.886 * [taylor]: Taking taylor expansion of im in re
9.886 * [backup-simplify]: Simplify im into im
9.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.887 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.887 * [backup-simplify]: Simplify (+ 1 0) into 1
9.887 * [backup-simplify]: Simplify (sqrt 1) into 1
9.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.889 * [backup-simplify]: Simplify (+ 0 0) into 0
9.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.890 * [taylor]: Taking taylor expansion of 1 in im
9.890 * [backup-simplify]: Simplify 1 into 1
9.890 * [taylor]: Taking taylor expansion of 0 in im
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify 1 into 1
9.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.892 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.893 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.893 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.893 * [taylor]: Taking taylor expansion of 1/2 in im
9.893 * [backup-simplify]: Simplify 1/2 into 1/2
9.893 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.893 * [taylor]: Taking taylor expansion of im in im
9.893 * [backup-simplify]: Simplify 0 into 0
9.893 * [backup-simplify]: Simplify 1 into 1
9.894 * [backup-simplify]: Simplify (* 1 1) into 1
9.894 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.896 * [backup-simplify]: Simplify 0 into 0
9.896 * [backup-simplify]: Simplify 0 into 0
9.896 * [backup-simplify]: Simplify 0 into 0
9.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.899 * [backup-simplify]: Simplify (+ 0 0) into 0
9.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.899 * [taylor]: Taking taylor expansion of 0 in im
9.899 * [backup-simplify]: Simplify 0 into 0
9.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
9.902 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.902 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.902 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.902 * [taylor]: Taking taylor expansion of im in im
9.902 * [backup-simplify]: Simplify 0 into 0
9.902 * [backup-simplify]: Simplify 1 into 1
9.902 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.902 * [taylor]: Taking taylor expansion of re in im
9.902 * [backup-simplify]: Simplify re into re
9.902 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.903 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.903 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.903 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.903 * [backup-simplify]: Simplify (+ 0 0) into 0
9.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.903 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.903 * [taylor]: Taking taylor expansion of im in re
9.903 * [backup-simplify]: Simplify im into im
9.904 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.904 * [taylor]: Taking taylor expansion of re in re
9.904 * [backup-simplify]: Simplify 0 into 0
9.904 * [backup-simplify]: Simplify 1 into 1
9.904 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.904 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.904 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.904 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.904 * [backup-simplify]: Simplify (+ 0 0) into 0
9.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.905 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.905 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.905 * [taylor]: Taking taylor expansion of im in re
9.905 * [backup-simplify]: Simplify im into im
9.905 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.905 * [taylor]: Taking taylor expansion of re in re
9.905 * [backup-simplify]: Simplify 0 into 0
9.905 * [backup-simplify]: Simplify 1 into 1
9.905 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.905 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.905 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.905 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.906 * [backup-simplify]: Simplify (+ 0 0) into 0
9.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.906 * [taylor]: Taking taylor expansion of im in im
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [backup-simplify]: Simplify 1 into 1
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [taylor]: Taking taylor expansion of 0 in im
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [backup-simplify]: Simplify 1 into 1
9.906 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.907 * [backup-simplify]: Simplify (* 1 1) into 1
9.907 * [backup-simplify]: Simplify (+ 0 1) into 1
9.908 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.908 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.908 * [taylor]: Taking taylor expansion of 1/2 in im
9.908 * [backup-simplify]: Simplify 1/2 into 1/2
9.908 * [taylor]: Taking taylor expansion of im in im
9.908 * [backup-simplify]: Simplify 0 into 0
9.908 * [backup-simplify]: Simplify 1 into 1
9.909 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.910 * [backup-simplify]: Simplify 0 into 0
9.910 * [backup-simplify]: Simplify 0 into 0
9.910 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.912 * [backup-simplify]: Simplify (+ 0 0) into 0
9.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.912 * [taylor]: Taking taylor expansion of 0 in im
9.912 * [backup-simplify]: Simplify 0 into 0
9.912 * [backup-simplify]: Simplify 0 into 0
9.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.913 * [backup-simplify]: Simplify 0 into 0
9.913 * [backup-simplify]: Simplify 0 into 0
9.913 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.913 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.913 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.913 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.913 * [taylor]: Taking taylor expansion of re in im
9.913 * [backup-simplify]: Simplify re into re
9.914 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.914 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.914 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.914 * [taylor]: Taking taylor expansion of im in im
9.914 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify 1 into 1
9.914 * [backup-simplify]: Simplify (* 1 1) into 1
9.915 * [backup-simplify]: Simplify (/ 1 1) into 1
9.915 * [backup-simplify]: Simplify (+ 0 1) into 1
9.915 * [backup-simplify]: Simplify (sqrt 1) into 1
9.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.917 * [backup-simplify]: Simplify (+ 0 0) into 0
9.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.918 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.918 * [taylor]: Taking taylor expansion of re in re
9.918 * [backup-simplify]: Simplify 0 into 0
9.918 * [backup-simplify]: Simplify 1 into 1
9.918 * [backup-simplify]: Simplify (* 1 1) into 1
9.919 * [backup-simplify]: Simplify (/ 1 1) into 1
9.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.919 * [taylor]: Taking taylor expansion of im in re
9.919 * [backup-simplify]: Simplify im into im
9.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.920 * [backup-simplify]: Simplify (+ 1 0) into 1
9.920 * [backup-simplify]: Simplify (sqrt 1) into 1
9.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.922 * [backup-simplify]: Simplify (+ 0 0) into 0
9.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.923 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.923 * [taylor]: Taking taylor expansion of re in re
9.923 * [backup-simplify]: Simplify 0 into 0
9.923 * [backup-simplify]: Simplify 1 into 1
9.923 * [backup-simplify]: Simplify (* 1 1) into 1
9.924 * [backup-simplify]: Simplify (/ 1 1) into 1
9.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.924 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.924 * [taylor]: Taking taylor expansion of im in re
9.924 * [backup-simplify]: Simplify im into im
9.924 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.924 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.924 * [backup-simplify]: Simplify (+ 1 0) into 1
9.925 * [backup-simplify]: Simplify (sqrt 1) into 1
9.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.927 * [backup-simplify]: Simplify (+ 0 0) into 0
9.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.927 * [taylor]: Taking taylor expansion of 1 in im
9.927 * [backup-simplify]: Simplify 1 into 1
9.927 * [taylor]: Taking taylor expansion of 0 in im
9.927 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify 1 into 1
9.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.931 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.931 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.931 * [taylor]: Taking taylor expansion of 1/2 in im
9.931 * [backup-simplify]: Simplify 1/2 into 1/2
9.931 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.931 * [taylor]: Taking taylor expansion of im in im
9.931 * [backup-simplify]: Simplify 0 into 0
9.931 * [backup-simplify]: Simplify 1 into 1
9.932 * [backup-simplify]: Simplify (* 1 1) into 1
9.932 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.934 * [backup-simplify]: Simplify 0 into 0
9.934 * [backup-simplify]: Simplify 0 into 0
9.934 * [backup-simplify]: Simplify 0 into 0
9.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.936 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.936 * [backup-simplify]: Simplify (+ 0 0) into 0
9.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.937 * [taylor]: Taking taylor expansion of 0 in im
9.937 * [backup-simplify]: Simplify 0 into 0
9.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.939 * [backup-simplify]: Simplify 0 into 0
9.939 * [backup-simplify]: Simplify 0 into 0
9.939 * [backup-simplify]: Simplify 0 into 0
9.939 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.940 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.940 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.940 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.940 * [taylor]: Taking taylor expansion of re in im
9.940 * [backup-simplify]: Simplify re into re
9.940 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.940 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.940 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.940 * [taylor]: Taking taylor expansion of im in im
9.940 * [backup-simplify]: Simplify 0 into 0
9.940 * [backup-simplify]: Simplify 1 into 1
9.941 * [backup-simplify]: Simplify (* 1 1) into 1
9.941 * [backup-simplify]: Simplify (/ 1 1) into 1
9.942 * [backup-simplify]: Simplify (+ 0 1) into 1
9.942 * [backup-simplify]: Simplify (sqrt 1) into 1
9.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.944 * [backup-simplify]: Simplify (+ 0 0) into 0
9.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.945 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.945 * [taylor]: Taking taylor expansion of re in re
9.945 * [backup-simplify]: Simplify 0 into 0
9.945 * [backup-simplify]: Simplify 1 into 1
9.945 * [backup-simplify]: Simplify (* 1 1) into 1
9.945 * [backup-simplify]: Simplify (/ 1 1) into 1
9.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.946 * [taylor]: Taking taylor expansion of im in re
9.946 * [backup-simplify]: Simplify im into im
9.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.946 * [backup-simplify]: Simplify (+ 1 0) into 1
9.947 * [backup-simplify]: Simplify (sqrt 1) into 1
9.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.948 * [backup-simplify]: Simplify (+ 0 0) into 0
9.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.949 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.949 * [taylor]: Taking taylor expansion of re in re
9.949 * [backup-simplify]: Simplify 0 into 0
9.949 * [backup-simplify]: Simplify 1 into 1
9.950 * [backup-simplify]: Simplify (* 1 1) into 1
9.950 * [backup-simplify]: Simplify (/ 1 1) into 1
9.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.950 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.950 * [taylor]: Taking taylor expansion of im in re
9.950 * [backup-simplify]: Simplify im into im
9.950 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.951 * [backup-simplify]: Simplify (+ 1 0) into 1
9.951 * [backup-simplify]: Simplify (sqrt 1) into 1
9.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.953 * [backup-simplify]: Simplify (+ 0 0) into 0
9.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.954 * [taylor]: Taking taylor expansion of 1 in im
9.954 * [backup-simplify]: Simplify 1 into 1
9.954 * [taylor]: Taking taylor expansion of 0 in im
9.954 * [backup-simplify]: Simplify 0 into 0
9.954 * [backup-simplify]: Simplify 1 into 1
9.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.956 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.957 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.957 * [taylor]: Taking taylor expansion of 1/2 in im
9.957 * [backup-simplify]: Simplify 1/2 into 1/2
9.957 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.957 * [taylor]: Taking taylor expansion of im in im
9.957 * [backup-simplify]: Simplify 0 into 0
9.957 * [backup-simplify]: Simplify 1 into 1
9.958 * [backup-simplify]: Simplify (* 1 1) into 1
9.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.960 * [backup-simplify]: Simplify 0 into 0
9.960 * [backup-simplify]: Simplify 0 into 0
9.960 * [backup-simplify]: Simplify 0 into 0
9.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.962 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.962 * [backup-simplify]: Simplify (+ 0 0) into 0
9.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.963 * [taylor]: Taking taylor expansion of 0 in im
9.963 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.965 * [backup-simplify]: Simplify 0 into 0
9.965 * [backup-simplify]: Simplify 0 into 0
9.965 * [backup-simplify]: Simplify 0 into 0
9.965 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.965 * * * [progress]: simplifying candidates
9.967 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
9.969 * * [simplify]: iteration 0: 38 enodes
9.982 * * [simplify]: iteration 1: 91 enodes
10.017 * * [simplify]: iteration 2: 220 enodes
10.092 * * [simplify]: iteration 3: 528 enodes
10.362 * * [simplify]: iteration 4: 1462 enodes
10.815 * * [simplify]: iteration complete: 5000 enodes
10.816 * * [simplify]: Extracting #0: cost 18 inf + 0
10.816 * * [simplify]: Extracting #1: cost 42 inf + 4
10.817 * * [simplify]: Extracting #2: cost 353 inf + 47
10.823 * * [simplify]: Extracting #3: cost 1457 inf + 1083
10.838 * * [simplify]: Extracting #4: cost 1357 inf + 90562
10.894 * * [simplify]: Extracting #5: cost 462 inf + 277192
11.003 * * [simplify]: Extracting #6: cost 139 inf + 359646
11.079 * * [simplify]: Extracting #7: cost 16 inf + 391513
11.179 * * [simplify]: Extracting #8: cost 0 inf + 396382
11.263 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
11.281 * * * [progress]: adding candidates to table
11.876 * [progress]: [Phase 3 of 3] Extracting.
11.876 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.882 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
11.882 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.013 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.090 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.180 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.265 * * * [regime]: Found split indices: #<option (#s(si 7 56) #s(si 3 135) #s(si 5 255))>
12.267 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.368 * [regimes]: Found splitpoints: (#s(sp 7 re -2.2734489944960353e+87) #s(sp 3 re -6.316428651001183e-302) #s(sp 5 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
12.369 * [simplify]: Simplifying:
  (if (<= re -2.2734489944960353e+87) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= re -6.316428651001183e-302) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))
12.369 * * [simplify]: iteration 0: 33 enodes
12.370 * * [simplify]: iteration 1: 43 enodes
12.372 * * [simplify]: iteration 2: 44 enodes
12.373 * * [simplify]: iteration complete: 44 enodes
12.373 * * [simplify]: Extracting #0: cost 1 inf + 0
12.373 * * [simplify]: Extracting #1: cost 4 inf + 0
12.373 * * [simplify]: Extracting #2: cost 11 inf + 0
12.373 * * [simplify]: Extracting #3: cost 12 inf + 3
12.373 * * [simplify]: Extracting #4: cost 14 inf + 138
12.373 * * [simplify]: Extracting #5: cost 17 inf + 139
12.373 * * [simplify]: Extracting #6: cost 19 inf + 140
12.373 * * [simplify]: Extracting #7: cost 19 inf + 552
12.373 * * [simplify]: Extracting #8: cost 18 inf + 554
12.374 * * [simplify]: Extracting #9: cost 16 inf + 636
12.374 * * [simplify]: Extracting #10: cost 13 inf + 1002
12.374 * * [simplify]: Extracting #11: cost 9 inf + 1770
12.374 * * [simplify]: Extracting #12: cost 7 inf + 2375
12.375 * * [simplify]: Extracting #13: cost 4 inf + 3384
12.375 * * [simplify]: Extracting #14: cost 3 inf + 3747
12.376 * * [simplify]: Extracting #15: cost 2 inf + 4151
12.377 * * [simplify]: Extracting #16: cost 0 inf + 5993
12.378 * [simplify]: Simplified to:
  (if (<= re -2.2734489944960353e+87) (* (sqrt (* (* -2 re) 2.0)) 0.5) (if (<= re -6.316428651001183e-302) (* (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re))))) re))) 0.5) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))))
15.756 * [regime-testing]: Baseline error score: 38.80733276151584
15.773 * [regime-testing]: Oracle error score: 17.05679022210596
15.814 * [regime-testing]: End program error score: 26.09366517687697