29.933 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.036 * [progress]: [Phase 2 of 3] Improving.
0.036 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.036 * * [simplify]: iteration 0: 12 enodes
0.038 * * [simplify]: iteration 1: 22 enodes
0.041 * * [simplify]: iteration 2: 24 enodes
0.044 * * [simplify]: iteration complete: 24 enodes
0.044 * * [simplify]: Extracting #0: cost 1 inf + 0
0.044 * * [simplify]: Extracting #1: cost 3 inf + 0
0.044 * * [simplify]: Extracting #2: cost 3 inf + 1
0.044 * * [simplify]: Extracting #3: cost 7 inf + 1
0.044 * * [simplify]: Extracting #4: cost 8 inf + 2
0.044 * * [simplify]: Extracting #5: cost 8 inf + 3
0.044 * * [simplify]: Extracting #6: cost 9 inf + 45
0.044 * * [simplify]: Extracting #7: cost 9 inf + 86
0.044 * * [simplify]: Extracting #8: cost 7 inf + 128
0.044 * * [simplify]: Extracting #9: cost 5 inf + 412
0.045 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.045 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.045 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.046 * * [progress]: iteration 1 / 4
0.046 * * * [progress]: picking best candidate
0.050 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.050 * * * [progress]: localizing error
0.081 * * * [progress]: generating rewritten candidates
0.081 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.088 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.114 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.120 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.239 * * * [progress]: generating series expansions
0.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.239 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.239 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.239 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.239 * [taylor]: Taking taylor expansion of im in im
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.239 * [taylor]: Taking taylor expansion of re in im
0.239 * [backup-simplify]: Simplify re into re
0.240 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.240 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.240 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.240 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.241 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.241 * [taylor]: Taking taylor expansion of im in re
0.241 * [backup-simplify]: Simplify im into im
0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.241 * [taylor]: Taking taylor expansion of re in re
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.241 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.242 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.242 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.242 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.242 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.242 * [taylor]: Taking taylor expansion of im in re
0.242 * [backup-simplify]: Simplify im into im
0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.242 * [taylor]: Taking taylor expansion of re in re
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.243 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.243 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.244 * [taylor]: Taking taylor expansion of im in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [taylor]: Taking taylor expansion of 0 in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.245 * [backup-simplify]: Simplify (* 1 1) into 1
0.245 * [backup-simplify]: Simplify (+ 0 1) into 1
0.246 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.246 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.246 * [taylor]: Taking taylor expansion of 1/2 in im
0.246 * [backup-simplify]: Simplify 1/2 into 1/2
0.246 * [taylor]: Taking taylor expansion of im in im
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.250 * [taylor]: Taking taylor expansion of 0 in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.251 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.251 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.251 * [taylor]: Taking taylor expansion of re in im
0.252 * [backup-simplify]: Simplify re into re
0.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.252 * [taylor]: Taking taylor expansion of im in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ 0 1) into 1
0.255 * [backup-simplify]: Simplify (sqrt 1) into 1
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.259 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.259 * [taylor]: Taking taylor expansion of im in re
0.259 * [backup-simplify]: Simplify im into im
0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.260 * [backup-simplify]: Simplify (+ 1 0) into 1
0.260 * [backup-simplify]: Simplify (sqrt 1) into 1
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.263 * [taylor]: Taking taylor expansion of re in re
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.264 * [backup-simplify]: Simplify (/ 1 1) into 1
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.264 * [taylor]: Taking taylor expansion of im in re
0.264 * [backup-simplify]: Simplify im into im
0.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.265 * [backup-simplify]: Simplify (sqrt 1) into 1
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.268 * [taylor]: Taking taylor expansion of 1 in im
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of 0 in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.271 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.271 * [taylor]: Taking taylor expansion of 1/2 in im
0.271 * [backup-simplify]: Simplify 1/2 into 1/2
0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.271 * [taylor]: Taking taylor expansion of im in im
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.278 * [taylor]: Taking taylor expansion of 0 in im
0.278 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.280 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.280 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.280 * [taylor]: Taking taylor expansion of re in im
0.280 * [backup-simplify]: Simplify re into re
0.281 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.281 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.281 * [taylor]: Taking taylor expansion of im in im
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ 0 1) into 1
0.283 * [backup-simplify]: Simplify (sqrt 1) into 1
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.286 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.286 * [taylor]: Taking taylor expansion of re in re
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.286 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.286 * [taylor]: Taking taylor expansion of im in re
0.287 * [backup-simplify]: Simplify im into im
0.287 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.287 * [backup-simplify]: Simplify (+ 1 0) into 1
0.288 * [backup-simplify]: Simplify (sqrt 1) into 1
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.290 * [taylor]: Taking taylor expansion of re in re
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.291 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.291 * [taylor]: Taking taylor expansion of im in re
0.291 * [backup-simplify]: Simplify im into im
0.291 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.292 * [backup-simplify]: Simplify (+ 1 0) into 1
0.292 * [backup-simplify]: Simplify (sqrt 1) into 1
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of 1 in im
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of 0 in im
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.299 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.299 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.299 * [taylor]: Taking taylor expansion of 1/2 in im
0.299 * [backup-simplify]: Simplify 1/2 into 1/2
0.299 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.299 * [taylor]: Taking taylor expansion of im in im
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.308 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.308 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.308 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.308 * [taylor]: Taking taylor expansion of re in im
0.308 * [backup-simplify]: Simplify re into re
0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.308 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.308 * [taylor]: Taking taylor expansion of im in im
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.308 * [taylor]: Taking taylor expansion of re in im
0.308 * [backup-simplify]: Simplify re into re
0.308 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.308 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.308 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.309 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.309 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.309 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.309 * [taylor]: Taking taylor expansion of im in re
0.309 * [backup-simplify]: Simplify im into im
0.309 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.310 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.310 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.310 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.311 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.311 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.311 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.311 * [taylor]: Taking taylor expansion of im in re
0.311 * [backup-simplify]: Simplify im into im
0.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.311 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.311 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 im) into im
0.312 * [taylor]: Taking taylor expansion of im in im
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (+ 1 0) into 1
0.313 * [taylor]: Taking taylor expansion of 1 in im
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.315 * [backup-simplify]: Simplify (+ 0 1) into 1
0.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.315 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.316 * [taylor]: Taking taylor expansion of 1/2 in im
0.316 * [backup-simplify]: Simplify 1/2 into 1/2
0.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.323 * [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)))))
0.323 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.323 * [taylor]: Taking taylor expansion of re in im
0.323 * [backup-simplify]: Simplify re into re
0.323 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.323 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.323 * [taylor]: Taking taylor expansion of re in im
0.323 * [backup-simplify]: Simplify re into re
0.323 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.324 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.324 * [taylor]: Taking taylor expansion of im in im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (* 1 1) into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.325 * [backup-simplify]: Simplify (+ 0 1) into 1
0.325 * [backup-simplify]: Simplify (sqrt 1) into 1
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.328 * [taylor]: Taking taylor expansion of re in re
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.329 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.329 * [taylor]: Taking taylor expansion of re in re
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.330 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.330 * [taylor]: Taking taylor expansion of im in re
0.330 * [backup-simplify]: Simplify im into im
0.330 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.330 * [backup-simplify]: Simplify (+ 1 0) into 1
0.331 * [backup-simplify]: Simplify (sqrt 1) into 1
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.333 * [taylor]: Taking taylor expansion of re in re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.334 * [taylor]: Taking taylor expansion of re in re
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.335 * [taylor]: Taking taylor expansion of im in re
0.335 * [backup-simplify]: Simplify im into im
0.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (sqrt 1) into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.340 * [backup-simplify]: Simplify (+ 1 1) into 2
0.340 * [taylor]: Taking taylor expansion of 2 in im
0.340 * [backup-simplify]: Simplify 2 into 2
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [taylor]: Taking taylor expansion of 0 in im
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 2 into 2
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.345 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.346 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.346 * [taylor]: Taking taylor expansion of 1/2 in im
0.346 * [backup-simplify]: Simplify 1/2 into 1/2
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.346 * [taylor]: Taking taylor expansion of im in im
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in im
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.358 * [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))
0.358 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.358 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.358 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.358 * [taylor]: Taking taylor expansion of re in im
0.358 * [backup-simplify]: Simplify re into re
0.358 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.358 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.358 * [taylor]: Taking taylor expansion of im in im
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [backup-simplify]: Simplify (+ 0 1) into 1
0.360 * [backup-simplify]: Simplify (sqrt 1) into 1
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.362 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.362 * [taylor]: Taking taylor expansion of re in im
0.363 * [backup-simplify]: Simplify re into re
0.363 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.363 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (/ 1 1) into 1
0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.364 * [taylor]: Taking taylor expansion of im in re
0.364 * [backup-simplify]: Simplify im into im
0.364 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.364 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.365 * [backup-simplify]: Simplify (sqrt 1) into 1
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.368 * [taylor]: Taking taylor expansion of re in re
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.369 * [taylor]: Taking taylor expansion of im in re
0.369 * [backup-simplify]: Simplify im into im
0.369 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.370 * [backup-simplify]: Simplify (+ 1 0) into 1
0.370 * [backup-simplify]: Simplify (sqrt 1) into 1
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.373 * [taylor]: Taking taylor expansion of re in re
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [backup-simplify]: Simplify (- 1) into -1
0.374 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.374 * [taylor]: Taking taylor expansion of 0 in im
0.374 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (- 0) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.379 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.380 * [taylor]: Taking taylor expansion of 1/2 in im
0.380 * [backup-simplify]: Simplify 1/2 into 1/2
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.380 * [taylor]: Taking taylor expansion of im in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (- 0) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [taylor]: Taking taylor expansion of 0 in im
0.388 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.392 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.392 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.392 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.392 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.392 * [taylor]: Taking taylor expansion of im in im
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.392 * [taylor]: Taking taylor expansion of re in im
0.392 * [backup-simplify]: Simplify re into re
0.392 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.392 * [taylor]: Taking taylor expansion of im in re
0.392 * [backup-simplify]: Simplify im into im
0.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.392 * [taylor]: Taking taylor expansion of re in re
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.392 * [taylor]: Taking taylor expansion of im in re
0.392 * [backup-simplify]: Simplify im into im
0.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.392 * [taylor]: Taking taylor expansion of re in re
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.392 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.393 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.393 * [taylor]: Taking taylor expansion of im in im
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [taylor]: Taking taylor expansion of 0 in im
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.394 * [backup-simplify]: Simplify (* 1 1) into 1
0.394 * [backup-simplify]: Simplify (+ 0 1) into 1
0.394 * [taylor]: Taking taylor expansion of 1 in im
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.395 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [taylor]: Taking taylor expansion of 0 in im
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [taylor]: Taking taylor expansion of 0 in im
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.401 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.401 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.401 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.401 * [taylor]: Taking taylor expansion of re in im
0.401 * [backup-simplify]: Simplify re into re
0.401 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.401 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.401 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.401 * [taylor]: Taking taylor expansion of im in im
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (/ 1 1) into 1
0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.402 * [taylor]: Taking taylor expansion of re in re
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.403 * [taylor]: Taking taylor expansion of im in re
0.403 * [backup-simplify]: Simplify im into im
0.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.403 * [taylor]: Taking taylor expansion of re in re
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.404 * [taylor]: Taking taylor expansion of im in re
0.404 * [backup-simplify]: Simplify im into im
0.404 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.405 * [backup-simplify]: Simplify (+ 1 0) into 1
0.405 * [taylor]: Taking taylor expansion of 1 in im
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ 0 0) into 0
0.408 * [taylor]: Taking taylor expansion of 0 in im
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.411 * [taylor]: Taking taylor expansion of im in im
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (* 1 1) into 1
0.411 * [backup-simplify]: Simplify (/ 1 1) into 1
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.414 * [taylor]: Taking taylor expansion of 0 in im
0.414 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [taylor]: Taking taylor expansion of 0 in im
0.419 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.422 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.422 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.422 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.422 * [taylor]: Taking taylor expansion of re in im
0.422 * [backup-simplify]: Simplify re into re
0.422 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.422 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.423 * [taylor]: Taking taylor expansion of im in im
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (* 1 1) into 1
0.423 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.423 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.423 * [taylor]: Taking taylor expansion of re in re
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (* 1 1) into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.424 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.424 * [taylor]: Taking taylor expansion of im in re
0.424 * [backup-simplify]: Simplify im into im
0.424 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.425 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.425 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.425 * [taylor]: Taking taylor expansion of re in re
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (/ 1 1) into 1
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.425 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.426 * [taylor]: Taking taylor expansion of im in re
0.426 * [backup-simplify]: Simplify im into im
0.426 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.426 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.426 * [backup-simplify]: Simplify (+ 1 0) into 1
0.426 * [taylor]: Taking taylor expansion of 1 in im
0.426 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [taylor]: Taking taylor expansion of 0 in im
0.428 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.430 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.430 * [taylor]: Taking taylor expansion of im in im
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify (* 1 1) into 1
0.431 * [backup-simplify]: Simplify (/ 1 1) into 1
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.434 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [taylor]: Taking taylor expansion of 0 in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in im
0.440 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.442 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.443 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2)))))
0.443 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (re im) around 0
0.443 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.443 * [taylor]: Taking taylor expansion of 2.0 in im
0.443 * [backup-simplify]: Simplify 2.0 into 2.0
0.443 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.443 * [taylor]: Taking taylor expansion of re in im
0.443 * [backup-simplify]: Simplify re into re
0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.443 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.443 * [taylor]: Taking taylor expansion of im in im
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.443 * [taylor]: Taking taylor expansion of re in im
0.443 * [backup-simplify]: Simplify re into re
0.443 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.444 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.444 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.444 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.444 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.444 * [taylor]: Taking taylor expansion of 2.0 in re
0.444 * [backup-simplify]: Simplify 2.0 into 2.0
0.445 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.445 * [taylor]: Taking taylor expansion of re in re
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.445 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.445 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.445 * [taylor]: Taking taylor expansion of im in re
0.445 * [backup-simplify]: Simplify im into im
0.445 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.445 * [taylor]: Taking taylor expansion of re in re
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.445 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.445 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.445 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.446 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.446 * [taylor]: Taking taylor expansion of 2.0 in re
0.446 * [backup-simplify]: Simplify 2.0 into 2.0
0.446 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.446 * [taylor]: Taking taylor expansion of re in re
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.446 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.446 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.446 * [taylor]: Taking taylor expansion of im in re
0.446 * [backup-simplify]: Simplify im into im
0.446 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.446 * [taylor]: Taking taylor expansion of re in re
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.447 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.447 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.447 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.447 * [backup-simplify]: Simplify (+ 0 0) into 0
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.448 * [backup-simplify]: Simplify (+ 0 im) into im
0.448 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im)
0.448 * [taylor]: Taking taylor expansion of (* 2.0 im) in im
0.448 * [taylor]: Taking taylor expansion of 2.0 in im
0.448 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [taylor]: Taking taylor expansion of im in im
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (+ 1 0) into 1
0.449 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
0.449 * [taylor]: Taking taylor expansion of 2.0 in im
0.449 * [backup-simplify]: Simplify 2.0 into 2.0
0.449 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
0.451 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify (+ 0 1) into 1
0.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.453 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.454 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
0.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im
0.454 * [taylor]: Taking taylor expansion of 1.0 in im
0.454 * [backup-simplify]: Simplify 1.0 into 1.0
0.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.454 * [taylor]: Taking taylor expansion of im in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (/ 1 1) into 1
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im)))) into 0
0.461 * [taylor]: Taking taylor expansion of 0 in im
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
0.463 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))
0.463 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0
0.463 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.463 * [taylor]: Taking taylor expansion of 2.0 in im
0.463 * [backup-simplify]: Simplify 2.0 into 2.0
0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.463 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.463 * [taylor]: Taking taylor expansion of re in im
0.463 * [backup-simplify]: Simplify re into re
0.463 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.464 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.464 * [taylor]: Taking taylor expansion of re in im
0.464 * [backup-simplify]: Simplify re into re
0.464 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.464 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.464 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.464 * [taylor]: Taking taylor expansion of im in im
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (* 1 1) into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [backup-simplify]: Simplify (+ 0 1) into 1
0.466 * [backup-simplify]: Simplify (sqrt 1) into 1
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.468 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.468 * [taylor]: Taking taylor expansion of 2.0 in re
0.468 * [backup-simplify]: Simplify 2.0 into 2.0
0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.468 * [taylor]: Taking taylor expansion of re in re
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.469 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.469 * [taylor]: Taking taylor expansion of re in re
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.469 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.470 * [taylor]: Taking taylor expansion of im in re
0.470 * [backup-simplify]: Simplify im into im
0.470 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.470 * [backup-simplify]: Simplify (+ 1 0) into 1
0.471 * [backup-simplify]: Simplify (sqrt 1) into 1
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.473 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.473 * [taylor]: Taking taylor expansion of 2.0 in re
0.473 * [backup-simplify]: Simplify 2.0 into 2.0
0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.474 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.474 * [taylor]: Taking taylor expansion of re in re
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.474 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.474 * [taylor]: Taking taylor expansion of im in re
0.475 * [backup-simplify]: Simplify im into im
0.475 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.475 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.475 * [backup-simplify]: Simplify (+ 1 0) into 1
0.476 * [backup-simplify]: Simplify (sqrt 1) into 1
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.478 * [backup-simplify]: Simplify (+ 1 1) into 2
0.479 * [backup-simplify]: Simplify (* 2.0 2) into 4.0
0.479 * [taylor]: Taking taylor expansion of 4.0 in im
0.479 * [backup-simplify]: Simplify 4.0 into 4.0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in im
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 4.0 into 4.0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.485 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.485 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.486 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2)))
0.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
0.486 * [taylor]: Taking taylor expansion of 1.0 in im
0.486 * [backup-simplify]: Simplify 1.0 into 1.0
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.486 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.486 * [taylor]: Taking taylor expansion of im in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (/ 1 1) into 1
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.494 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0
0.495 * [taylor]: Taking taylor expansion of 0 in im
0.495 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (* 4.0 (* 1 (/ 1 (/ 1 re)))) into (* 4.0 re)
0.498 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))
0.498 * [approximate]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0
0.498 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.498 * [taylor]: Taking taylor expansion of 2.0 in im
0.498 * [backup-simplify]: Simplify 2.0 into 2.0
0.498 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.499 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.499 * [taylor]: Taking taylor expansion of re in im
0.499 * [backup-simplify]: Simplify re into re
0.499 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.499 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.499 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.499 * [taylor]: Taking taylor expansion of im in im
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.500 * [backup-simplify]: Simplify (/ 1 1) into 1
0.500 * [backup-simplify]: Simplify (+ 0 1) into 1
0.500 * [backup-simplify]: Simplify (sqrt 1) into 1
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.503 * [taylor]: Taking taylor expansion of re in im
0.503 * [backup-simplify]: Simplify re into re
0.503 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.503 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.503 * [taylor]: Taking taylor expansion of 2.0 in re
0.503 * [backup-simplify]: Simplify 2.0 into 2.0
0.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.503 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.503 * [taylor]: Taking taylor expansion of re in re
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.504 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.504 * [taylor]: Taking taylor expansion of im in re
0.504 * [backup-simplify]: Simplify im into im
0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.505 * [backup-simplify]: Simplify (+ 1 0) into 1
0.505 * [backup-simplify]: Simplify (sqrt 1) into 1
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.508 * [taylor]: Taking taylor expansion of re in re
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.508 * [taylor]: Taking taylor expansion of 2.0 in re
0.508 * [backup-simplify]: Simplify 2.0 into 2.0
0.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.508 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.508 * [taylor]: Taking taylor expansion of re in re
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.509 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.509 * [taylor]: Taking taylor expansion of im in re
0.509 * [backup-simplify]: Simplify im into im
0.509 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.510 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.510 * [backup-simplify]: Simplify (+ 1 0) into 1
0.510 * [backup-simplify]: Simplify (sqrt 1) into 1
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.513 * [taylor]: Taking taylor expansion of re in re
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [backup-simplify]: Simplify (- 1) into -1
0.514 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.514 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.514 * [taylor]: Taking taylor expansion of 0 in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0
0.517 * [taylor]: Taking taylor expansion of 0 in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (- 0) into 0
0.522 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.522 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2)))
0.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
0.522 * [taylor]: Taking taylor expansion of 1.0 in im
0.523 * [backup-simplify]: Simplify 1.0 into 1.0
0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.523 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.523 * [taylor]: Taking taylor expansion of im in im
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0
0.532 * [taylor]: Taking taylor expansion of 0 in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * * * [progress]: simplifying candidates
0.537 * [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)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) 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))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (log 2.0) (log (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (* 2.0 2.0) 2.0) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 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 (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 (sqrt (+ (* re re) (* im im))))
  (* 2.0 re)
  (* (sqrt (+ (* re re) (* im im))) 2.0)
  (* re 2.0)
  (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 1)
  (* 2.0 1)
  (* (cbrt 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))
  (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (* 2.0 re) (* 2.0 im))
  (* 4.0 re)
  0
0.540 * * [simplify]: iteration 0: 101 enodes
0.570 * * [simplify]: iteration 1: 274 enodes
0.699 * * [simplify]: iteration 2: 885 enodes
1.459 * * [simplify]: iteration 3: 4137 enodes
2.753 * * [simplify]: iteration complete: 5002 enodes
2.753 * * [simplify]: Extracting #0: cost 63 inf + 0
2.755 * * [simplify]: Extracting #1: cost 304 inf + 47
2.762 * * [simplify]: Extracting #2: cost 1101 inf + 7658
2.787 * * [simplify]: Extracting #3: cost 1015 inf + 53974
2.863 * * [simplify]: Extracting #4: cost 428 inf + 198661
2.965 * * [simplify]: Extracting #5: cost 95 inf + 312890
3.075 * * [simplify]: Extracting #6: cost 21 inf + 328323
3.191 * * [simplify]: Extracting #7: cost 0 inf + 334597
3.322 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (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 (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))
  (+ (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re)))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im)))
  (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))
  (* (+ (* im im) (* re re)) (- (* re re) (* im im)))
  (- (* re re) (* im im))
  (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)
  (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (exp (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)) (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (* 2.0 (sqrt (+ (* im im) (* re re))))
  (* 2.0 re)
  (* (sqrt (+ (* im im) (* re re))) 2.0)
  (* 2.0 re)
  (* (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) 2.0)
  (* 2.0 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  2.0
  2.0
  (* (+ (sqrt (+ (* im im) (* re re))) re) (cbrt 2.0))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (sqrt 2.0))
  (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)
  (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))))
  (* 2.0 (* im im))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (* (+ re im) 2.0)
  (* 4.0 re)
  0
3.330 * * * [progress]: adding candidates to table
3.751 * * [progress]: iteration 2 / 4
3.751 * * * [progress]: picking best candidate
3.768 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.769 * * * [progress]: localizing error
3.803 * * * [progress]: generating rewritten candidates
3.803 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.810 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.816 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.860 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.926 * * * [progress]: generating series expansions
3.927 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.927 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.927 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.927 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.927 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.927 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.927 * [taylor]: Taking taylor expansion of im in im
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.927 * [taylor]: Taking taylor expansion of re in im
3.927 * [backup-simplify]: Simplify re into re
3.927 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.927 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.927 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.927 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.928 * [backup-simplify]: Simplify (+ 0 0) into 0
3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.928 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.928 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.928 * [taylor]: Taking taylor expansion of im in re
3.928 * [backup-simplify]: Simplify im into im
3.928 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.928 * [taylor]: Taking taylor expansion of re in re
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.928 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.928 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.929 * [backup-simplify]: Simplify (+ 0 0) into 0
3.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.929 * [taylor]: Taking taylor expansion of im in re
3.929 * [backup-simplify]: Simplify im into im
3.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.929 * [taylor]: Taking taylor expansion of re in re
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.929 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.929 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.929 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.929 * [backup-simplify]: Simplify (+ 0 0) into 0
3.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.930 * [taylor]: Taking taylor expansion of im in im
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [taylor]: Taking taylor expansion of 0 in im
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.930 * [backup-simplify]: Simplify (* 1 1) into 1
3.931 * [backup-simplify]: Simplify (+ 0 1) into 1
3.931 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.931 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.931 * [taylor]: Taking taylor expansion of 1/2 in im
3.931 * [backup-simplify]: Simplify 1/2 into 1/2
3.931 * [taylor]: Taking taylor expansion of im in im
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.934 * [backup-simplify]: Simplify (+ 0 0) into 0
3.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.934 * [taylor]: Taking taylor expansion of 0 in im
3.934 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.935 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.936 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.936 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.936 * [taylor]: Taking taylor expansion of re in im
3.936 * [backup-simplify]: Simplify re into re
3.936 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.936 * [taylor]: Taking taylor expansion of im in im
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 1 into 1
3.936 * [backup-simplify]: Simplify (* 1 1) into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.938 * [backup-simplify]: Simplify (+ 0 1) into 1
3.938 * [backup-simplify]: Simplify (sqrt 1) into 1
3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.940 * [backup-simplify]: Simplify (+ 0 0) into 0
3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.940 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.940 * [taylor]: Taking taylor expansion of re in re
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (* 1 1) into 1
3.941 * [backup-simplify]: Simplify (/ 1 1) into 1
3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.941 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.941 * [taylor]: Taking taylor expansion of im in re
3.941 * [backup-simplify]: Simplify im into im
3.942 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.942 * [backup-simplify]: Simplify (+ 1 0) into 1
3.943 * [backup-simplify]: Simplify (sqrt 1) into 1
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.944 * [backup-simplify]: Simplify (+ 0 0) into 0
3.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.945 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.945 * [taylor]: Taking taylor expansion of re in re
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.946 * [backup-simplify]: Simplify (* 1 1) into 1
3.946 * [backup-simplify]: Simplify (/ 1 1) into 1
3.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.946 * [taylor]: Taking taylor expansion of im in re
3.946 * [backup-simplify]: Simplify im into im
3.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.947 * [backup-simplify]: Simplify (+ 1 0) into 1
3.947 * [backup-simplify]: Simplify (sqrt 1) into 1
3.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.950 * [taylor]: Taking taylor expansion of 1 in im
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [taylor]: Taking taylor expansion of 0 in im
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.952 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.953 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.953 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.953 * [taylor]: Taking taylor expansion of 1/2 in im
3.953 * [backup-simplify]: Simplify 1/2 into 1/2
3.953 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.953 * [taylor]: Taking taylor expansion of im in im
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [backup-simplify]: Simplify (* 1 1) into 1
3.954 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.958 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.959 * [taylor]: Taking taylor expansion of 0 in im
3.959 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.962 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.962 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.962 * [taylor]: Taking taylor expansion of re in im
3.962 * [backup-simplify]: Simplify re into re
3.962 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.962 * [taylor]: Taking taylor expansion of im in im
3.962 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (* 1 1) into 1
3.963 * [backup-simplify]: Simplify (/ 1 1) into 1
3.964 * [backup-simplify]: Simplify (+ 0 1) into 1
3.964 * [backup-simplify]: Simplify (sqrt 1) into 1
3.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.966 * [backup-simplify]: Simplify (+ 0 0) into 0
3.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.966 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.966 * [taylor]: Taking taylor expansion of re in re
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 1 into 1
3.967 * [backup-simplify]: Simplify (* 1 1) into 1
3.967 * [backup-simplify]: Simplify (/ 1 1) into 1
3.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.967 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.967 * [taylor]: Taking taylor expansion of im in re
3.967 * [backup-simplify]: Simplify im into im
3.967 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.968 * [backup-simplify]: Simplify (+ 1 0) into 1
3.968 * [backup-simplify]: Simplify (sqrt 1) into 1
3.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.970 * [backup-simplify]: Simplify (+ 0 0) into 0
3.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.971 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.971 * [taylor]: Taking taylor expansion of re in re
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (* 1 1) into 1
3.972 * [backup-simplify]: Simplify (/ 1 1) into 1
3.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.972 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.972 * [taylor]: Taking taylor expansion of im in re
3.972 * [backup-simplify]: Simplify im into im
3.972 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.972 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.973 * [backup-simplify]: Simplify (+ 1 0) into 1
3.973 * [backup-simplify]: Simplify (sqrt 1) into 1
3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.975 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.975 * [taylor]: Taking taylor expansion of 1 in im
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [taylor]: Taking taylor expansion of 0 in im
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.977 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.979 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.979 * [taylor]: Taking taylor expansion of 1/2 in im
3.979 * [backup-simplify]: Simplify 1/2 into 1/2
3.979 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.979 * [taylor]: Taking taylor expansion of im in im
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 1 into 1
3.979 * [backup-simplify]: Simplify (* 1 1) into 1
3.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.985 * [taylor]: Taking taylor expansion of 0 in im
3.985 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.987 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.988 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.988 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.988 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.988 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.988 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.988 * [taylor]: Taking taylor expansion of im in im
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 1 into 1
3.988 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.988 * [taylor]: Taking taylor expansion of re in im
3.988 * [backup-simplify]: Simplify re into re
3.988 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.988 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.988 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.988 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.989 * [backup-simplify]: Simplify (+ 0 0) into 0
3.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.989 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.989 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.989 * [taylor]: Taking taylor expansion of im in re
3.990 * [backup-simplify]: Simplify im into im
3.990 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.990 * [taylor]: Taking taylor expansion of re in re
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.990 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.990 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.991 * [backup-simplify]: Simplify (+ 0 0) into 0
3.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.991 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.991 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.991 * [taylor]: Taking taylor expansion of im in re
3.991 * [backup-simplify]: Simplify im into im
3.991 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.991 * [taylor]: Taking taylor expansion of re in re
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.991 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.991 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.992 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.992 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.992 * [backup-simplify]: Simplify (+ 0 0) into 0
3.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.992 * [taylor]: Taking taylor expansion of im in im
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify 1 into 1
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [taylor]: Taking taylor expansion of 0 in im
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 1 into 1
3.993 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.993 * [backup-simplify]: Simplify (* 1 1) into 1
3.994 * [backup-simplify]: Simplify (+ 0 1) into 1
3.995 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.995 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.995 * [taylor]: Taking taylor expansion of 1/2 in im
3.995 * [backup-simplify]: Simplify 1/2 into 1/2
3.995 * [taylor]: Taking taylor expansion of im in im
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.003 * [taylor]: Taking taylor expansion of 0 in im
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.005 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.005 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.005 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.005 * [taylor]: Taking taylor expansion of re in im
4.005 * [backup-simplify]: Simplify re into re
4.005 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.006 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.006 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.006 * [taylor]: Taking taylor expansion of im in im
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (* 1 1) into 1
4.006 * [backup-simplify]: Simplify (/ 1 1) into 1
4.007 * [backup-simplify]: Simplify (+ 0 1) into 1
4.007 * [backup-simplify]: Simplify (sqrt 1) into 1
4.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.009 * [backup-simplify]: Simplify (+ 0 0) into 0
4.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.010 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.010 * [taylor]: Taking taylor expansion of re in re
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify 1 into 1
4.010 * [backup-simplify]: Simplify (* 1 1) into 1
4.011 * [backup-simplify]: Simplify (/ 1 1) into 1
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.011 * [taylor]: Taking taylor expansion of im in re
4.011 * [backup-simplify]: Simplify im into im
4.011 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.011 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.011 * [backup-simplify]: Simplify (+ 1 0) into 1
4.012 * [backup-simplify]: Simplify (sqrt 1) into 1
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 0) into 0
4.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.014 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.014 * [taylor]: Taking taylor expansion of re in re
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (* 1 1) into 1
4.014 * [backup-simplify]: Simplify (/ 1 1) into 1
4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.014 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.014 * [taylor]: Taking taylor expansion of im in re
4.014 * [backup-simplify]: Simplify im into im
4.014 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.015 * [backup-simplify]: Simplify (+ 1 0) into 1
4.015 * [backup-simplify]: Simplify (sqrt 1) into 1
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ 0 0) into 0
4.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.016 * [taylor]: Taking taylor expansion of 1 in im
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [taylor]: Taking taylor expansion of 0 in im
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.018 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.018 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.018 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.019 * [taylor]: Taking taylor expansion of 1/2 in im
4.019 * [backup-simplify]: Simplify 1/2 into 1/2
4.019 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.019 * [taylor]: Taking taylor expansion of im in im
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.019 * [backup-simplify]: Simplify (* 1 1) into 1
4.019 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.022 * [taylor]: Taking taylor expansion of 0 in im
4.022 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.024 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.024 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.024 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.024 * [taylor]: Taking taylor expansion of re in im
4.024 * [backup-simplify]: Simplify re into re
4.024 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.024 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.024 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.024 * [taylor]: Taking taylor expansion of im in im
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (* 1 1) into 1
4.024 * [backup-simplify]: Simplify (/ 1 1) into 1
4.025 * [backup-simplify]: Simplify (+ 0 1) into 1
4.025 * [backup-simplify]: Simplify (sqrt 1) into 1
4.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (+ 0 0) into 0
4.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.026 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.027 * [taylor]: Taking taylor expansion of re in re
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 1 into 1
4.027 * [backup-simplify]: Simplify (* 1 1) into 1
4.027 * [backup-simplify]: Simplify (/ 1 1) into 1
4.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.027 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.027 * [taylor]: Taking taylor expansion of im in re
4.027 * [backup-simplify]: Simplify im into im
4.027 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.027 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.028 * [backup-simplify]: Simplify (+ 1 0) into 1
4.028 * [backup-simplify]: Simplify (sqrt 1) into 1
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.029 * [backup-simplify]: Simplify (+ 0 0) into 0
4.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.029 * [taylor]: Taking taylor expansion of re in re
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (* 1 1) into 1
4.030 * [backup-simplify]: Simplify (/ 1 1) into 1
4.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.030 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.030 * [taylor]: Taking taylor expansion of im in re
4.030 * [backup-simplify]: Simplify im into im
4.030 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.030 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.030 * [backup-simplify]: Simplify (+ 1 0) into 1
4.031 * [backup-simplify]: Simplify (sqrt 1) into 1
4.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.032 * [backup-simplify]: Simplify (+ 0 0) into 0
4.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.032 * [taylor]: Taking taylor expansion of 1 in im
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [taylor]: Taking taylor expansion of 0 in im
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.033 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.034 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.034 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.034 * [taylor]: Taking taylor expansion of 1/2 in im
4.034 * [backup-simplify]: Simplify 1/2 into 1/2
4.034 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.034 * [taylor]: Taking taylor expansion of im in im
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 1 into 1
4.035 * [backup-simplify]: Simplify (* 1 1) into 1
4.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.038 * [backup-simplify]: Simplify (+ 0 0) into 0
4.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.038 * [taylor]: Taking taylor expansion of 0 in im
4.038 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.039 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
4.040 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
4.040 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
4.040 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
4.040 * [taylor]: Taking taylor expansion of re in im
4.040 * [backup-simplify]: Simplify re into re
4.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.040 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.040 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.040 * [taylor]: Taking taylor expansion of im in im
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify 1 into 1
4.040 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.040 * [taylor]: Taking taylor expansion of re in im
4.040 * [backup-simplify]: Simplify re into re
4.040 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.040 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.040 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.040 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.040 * [backup-simplify]: Simplify (+ 0 0) into 0
4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.041 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
4.041 * [taylor]: Taking taylor expansion of re in re
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.041 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.041 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.041 * [taylor]: Taking taylor expansion of im in re
4.041 * [backup-simplify]: Simplify im into im
4.041 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.041 * [taylor]: Taking taylor expansion of re in re
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.041 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.041 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.041 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
4.041 * [taylor]: Taking taylor expansion of re in re
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.041 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.041 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.041 * [taylor]: Taking taylor expansion of im in re
4.042 * [backup-simplify]: Simplify im into im
4.042 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.042 * [taylor]: Taking taylor expansion of re in re
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 1 into 1
4.042 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.042 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.042 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.042 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.042 * [backup-simplify]: Simplify (+ 0 0) into 0
4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.042 * [backup-simplify]: Simplify (+ 0 im) into im
4.042 * [taylor]: Taking taylor expansion of im in im
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 1 into 1
4.042 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify (+ 1 0) into 1
4.043 * [taylor]: Taking taylor expansion of 1 in im
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.043 * [backup-simplify]: Simplify (* 1 1) into 1
4.043 * [backup-simplify]: Simplify (+ 0 1) into 1
4.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.044 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.044 * [taylor]: Taking taylor expansion of 1/2 in im
4.044 * [backup-simplify]: Simplify 1/2 into 1/2
4.044 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.044 * [taylor]: Taking taylor expansion of im in im
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 1 into 1
4.044 * [backup-simplify]: Simplify (/ 1 1) into 1
4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.048 * [backup-simplify]: Simplify (+ 0 0) into 0
4.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.048 * [backup-simplify]: Simplify (+ 0 0) into 0
4.048 * [taylor]: Taking taylor expansion of 0 in im
4.048 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.051 * [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)))))
4.051 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.051 * [taylor]: Taking taylor expansion of re in im
4.051 * [backup-simplify]: Simplify re into re
4.051 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.051 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.051 * [taylor]: Taking taylor expansion of re in im
4.051 * [backup-simplify]: Simplify re into re
4.051 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.051 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.052 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.052 * [taylor]: Taking taylor expansion of im in im
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 1 into 1
4.052 * [backup-simplify]: Simplify (* 1 1) into 1
4.052 * [backup-simplify]: Simplify (/ 1 1) into 1
4.053 * [backup-simplify]: Simplify (+ 0 1) into 1
4.053 * [backup-simplify]: Simplify (sqrt 1) into 1
4.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.055 * [backup-simplify]: Simplify (+ 0 0) into 0
4.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.056 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.056 * [taylor]: Taking taylor expansion of re in re
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (/ 1 1) into 1
4.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.056 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.056 * [taylor]: Taking taylor expansion of re in re
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.057 * [backup-simplify]: Simplify (* 1 1) into 1
4.057 * [backup-simplify]: Simplify (/ 1 1) into 1
4.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.057 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.057 * [taylor]: Taking taylor expansion of im in re
4.057 * [backup-simplify]: Simplify im into im
4.057 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.057 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.058 * [backup-simplify]: Simplify (+ 1 0) into 1
4.058 * [backup-simplify]: Simplify (sqrt 1) into 1
4.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.060 * [backup-simplify]: Simplify (+ 0 0) into 0
4.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.061 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.061 * [taylor]: Taking taylor expansion of re in re
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.061 * [backup-simplify]: Simplify (/ 1 1) into 1
4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.061 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.061 * [taylor]: Taking taylor expansion of re in re
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (* 1 1) into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.062 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.062 * [taylor]: Taking taylor expansion of im in re
4.062 * [backup-simplify]: Simplify im into im
4.062 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.063 * [backup-simplify]: Simplify (+ 1 0) into 1
4.063 * [backup-simplify]: Simplify (sqrt 1) into 1
4.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.065 * [backup-simplify]: Simplify (+ 0 0) into 0
4.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.066 * [backup-simplify]: Simplify (+ 1 1) into 2
4.066 * [taylor]: Taking taylor expansion of 2 in im
4.066 * [backup-simplify]: Simplify 2 into 2
4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.068 * [backup-simplify]: Simplify (+ 0 0) into 0
4.068 * [taylor]: Taking taylor expansion of 0 in im
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 2 into 2
4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.072 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.072 * [taylor]: Taking taylor expansion of 1/2 in im
4.072 * [backup-simplify]: Simplify 1/2 into 1/2
4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.072 * [taylor]: Taking taylor expansion of im in im
4.072 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 1 into 1
4.073 * [backup-simplify]: Simplify (* 1 1) into 1
4.073 * [backup-simplify]: Simplify (/ 1 1) into 1
4.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.075 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.079 * [backup-simplify]: Simplify (+ 0 0) into 0
4.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.080 * [backup-simplify]: Simplify (+ 0 0) into 0
4.081 * [taylor]: Taking taylor expansion of 0 in im
4.081 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.084 * [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))
4.084 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
4.084 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.085 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.085 * [taylor]: Taking taylor expansion of re in im
4.085 * [backup-simplify]: Simplify re into re
4.085 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.085 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.085 * [taylor]: Taking taylor expansion of im in im
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 1 into 1
4.085 * [backup-simplify]: Simplify (* 1 1) into 1
4.085 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [backup-simplify]: Simplify (+ 0 1) into 1
4.086 * [backup-simplify]: Simplify (sqrt 1) into 1
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.087 * [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
4.087 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.087 * [taylor]: Taking taylor expansion of re in im
4.087 * [backup-simplify]: Simplify re into re
4.088 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.088 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.088 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.088 * [taylor]: Taking taylor expansion of re in re
4.088 * [backup-simplify]: Simplify 0 into 0
4.088 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (* 1 1) into 1
4.088 * [backup-simplify]: Simplify (/ 1 1) into 1
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.088 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.088 * [taylor]: Taking taylor expansion of im in re
4.088 * [backup-simplify]: Simplify im into im
4.088 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.089 * [backup-simplify]: Simplify (+ 1 0) into 1
4.089 * [backup-simplify]: Simplify (sqrt 1) into 1
4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.090 * [backup-simplify]: Simplify (+ 0 0) into 0
4.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.091 * [taylor]: Taking taylor expansion of re in re
4.091 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify 1 into 1
4.091 * [backup-simplify]: Simplify (/ 1 1) into 1
4.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.091 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.091 * [taylor]: Taking taylor expansion of re in re
4.091 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify 1 into 1
4.091 * [backup-simplify]: Simplify (* 1 1) into 1
4.091 * [backup-simplify]: Simplify (/ 1 1) into 1
4.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.092 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.092 * [taylor]: Taking taylor expansion of im in re
4.092 * [backup-simplify]: Simplify im into im
4.092 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.092 * [backup-simplify]: Simplify (+ 1 0) into 1
4.092 * [backup-simplify]: Simplify (sqrt 1) into 1
4.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.093 * [backup-simplify]: Simplify (+ 0 0) into 0
4.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.094 * [taylor]: Taking taylor expansion of re in re
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (/ 1 1) into 1
4.094 * [backup-simplify]: Simplify (- 1) into -1
4.095 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.095 * [taylor]: Taking taylor expansion of 0 in im
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.095 * [backup-simplify]: Simplify (- 0) into 0
4.095 * [backup-simplify]: Simplify (+ 0 0) into 0
4.096 * [taylor]: Taking taylor expansion of 0 in im
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.097 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.098 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (- 0) into 0
4.099 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.099 * [taylor]: Taking taylor expansion of 1/2 in im
4.099 * [backup-simplify]: Simplify 1/2 into 1/2
4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.099 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.099 * [taylor]: Taking taylor expansion of im in im
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (* 1 1) into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.102 * [backup-simplify]: Simplify (+ 0 0) into 0
4.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.103 * [backup-simplify]: Simplify (- 0) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [taylor]: Taking taylor expansion of 0 in im
4.104 * [backup-simplify]: Simplify 0 into 0
4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
4.106 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
4.106 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
4.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.106 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.106 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.106 * [taylor]: Taking taylor expansion of im in im
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.106 * [taylor]: Taking taylor expansion of re in im
4.106 * [backup-simplify]: Simplify re into re
4.106 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.106 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.106 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.106 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.106 * [backup-simplify]: Simplify (+ 0 0) into 0
4.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.106 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.106 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.106 * [taylor]: Taking taylor expansion of im in re
4.106 * [backup-simplify]: Simplify im into im
4.106 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.106 * [taylor]: Taking taylor expansion of re in re
4.106 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 1 into 1
4.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.107 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.107 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.107 * [backup-simplify]: Simplify (+ 0 0) into 0
4.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.107 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.107 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.107 * [taylor]: Taking taylor expansion of im in re
4.107 * [backup-simplify]: Simplify im into im
4.107 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.107 * [taylor]: Taking taylor expansion of re in re
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 1 into 1
4.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.107 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.107 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.108 * [backup-simplify]: Simplify (+ 0 0) into 0
4.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.108 * [taylor]: Taking taylor expansion of im in im
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [taylor]: Taking taylor expansion of 0 in im
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.109 * [backup-simplify]: Simplify (* 1 1) into 1
4.109 * [backup-simplify]: Simplify (+ 0 1) into 1
4.109 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.109 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.109 * [taylor]: Taking taylor expansion of 1/2 in im
4.109 * [backup-simplify]: Simplify 1/2 into 1/2
4.109 * [taylor]: Taking taylor expansion of im in im
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 1 into 1
4.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.115 * [taylor]: Taking taylor expansion of 0 in im
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.117 * [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))))
4.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.117 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.117 * [taylor]: Taking taylor expansion of re in im
4.117 * [backup-simplify]: Simplify re into re
4.117 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.117 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.117 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.117 * [taylor]: Taking taylor expansion of im in im
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 1 into 1
4.118 * [backup-simplify]: Simplify (* 1 1) into 1
4.118 * [backup-simplify]: Simplify (/ 1 1) into 1
4.118 * [backup-simplify]: Simplify (+ 0 1) into 1
4.119 * [backup-simplify]: Simplify (sqrt 1) into 1
4.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.120 * [backup-simplify]: Simplify (+ 0 0) into 0
4.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.121 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.121 * [taylor]: Taking taylor expansion of re in re
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.122 * [backup-simplify]: Simplify (* 1 1) into 1
4.122 * [backup-simplify]: Simplify (/ 1 1) into 1
4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.122 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.122 * [taylor]: Taking taylor expansion of im in re
4.122 * [backup-simplify]: Simplify im into im
4.122 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.123 * [backup-simplify]: Simplify (+ 1 0) into 1
4.123 * [backup-simplify]: Simplify (sqrt 1) into 1
4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.125 * [backup-simplify]: Simplify (+ 0 0) into 0
4.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.125 * [taylor]: Taking taylor expansion of re in re
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.126 * [backup-simplify]: Simplify (* 1 1) into 1
4.126 * [backup-simplify]: Simplify (/ 1 1) into 1
4.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.126 * [taylor]: Taking taylor expansion of im in re
4.126 * [backup-simplify]: Simplify im into im
4.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.127 * [backup-simplify]: Simplify (+ 1 0) into 1
4.127 * [backup-simplify]: Simplify (sqrt 1) into 1
4.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.129 * [backup-simplify]: Simplify (+ 0 0) into 0
4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.130 * [taylor]: Taking taylor expansion of 1 in im
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [taylor]: Taking taylor expansion of 0 in im
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.133 * [taylor]: Taking taylor expansion of 1/2 in im
4.133 * [backup-simplify]: Simplify 1/2 into 1/2
4.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.133 * [taylor]: Taking taylor expansion of im in im
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 1 into 1
4.134 * [backup-simplify]: Simplify (* 1 1) into 1
4.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.139 * [backup-simplify]: Simplify (+ 0 0) into 0
4.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.139 * [taylor]: Taking taylor expansion of 0 in im
4.139 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.142 * [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))))
4.142 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.142 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.142 * [taylor]: Taking taylor expansion of re in im
4.142 * [backup-simplify]: Simplify re into re
4.142 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.142 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.143 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.143 * [taylor]: Taking taylor expansion of im in im
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (* 1 1) into 1
4.143 * [backup-simplify]: Simplify (/ 1 1) into 1
4.144 * [backup-simplify]: Simplify (+ 0 1) into 1
4.144 * [backup-simplify]: Simplify (sqrt 1) into 1
4.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.147 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.147 * [taylor]: Taking taylor expansion of re in re
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (* 1 1) into 1
4.147 * [backup-simplify]: Simplify (/ 1 1) into 1
4.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.147 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.147 * [taylor]: Taking taylor expansion of im in re
4.147 * [backup-simplify]: Simplify im into im
4.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.148 * [backup-simplify]: Simplify (+ 1 0) into 1
4.148 * [backup-simplify]: Simplify (sqrt 1) into 1
4.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.150 * [backup-simplify]: Simplify (+ 0 0) into 0
4.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.151 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.151 * [taylor]: Taking taylor expansion of re in re
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (* 1 1) into 1
4.152 * [backup-simplify]: Simplify (/ 1 1) into 1
4.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.152 * [taylor]: Taking taylor expansion of im in re
4.152 * [backup-simplify]: Simplify im into im
4.152 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.153 * [backup-simplify]: Simplify (+ 1 0) into 1
4.153 * [backup-simplify]: Simplify (sqrt 1) into 1
4.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (+ 0 0) into 0
4.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.156 * [taylor]: Taking taylor expansion of 1 in im
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [taylor]: Taking taylor expansion of 0 in im
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.159 * [taylor]: Taking taylor expansion of 1/2 in im
4.159 * [backup-simplify]: Simplify 1/2 into 1/2
4.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.159 * [taylor]: Taking taylor expansion of im in im
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 1 into 1
4.160 * [backup-simplify]: Simplify (* 1 1) into 1
4.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.162 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.165 * [backup-simplify]: Simplify (+ 0 0) into 0
4.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.165 * [taylor]: Taking taylor expansion of 0 in im
4.165 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.168 * * * [progress]: simplifying candidates
4.171 * [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)))
  (- (* (* (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)
  (+ 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)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
4.176 * * [simplify]: iteration 0: 133 enodes
4.242 * * [simplify]: iteration 1: 291 enodes
4.365 * * [simplify]: iteration 2: 732 enodes
4.801 * * [simplify]: iteration 3: 2357 enodes
5.723 * * [simplify]: iteration complete: 5018 enodes
5.724 * * [simplify]: Extracting #0: cost 46 inf + 0
5.725 * * [simplify]: Extracting #1: cost 246 inf + 88
5.730 * * [simplify]: Extracting #2: cost 1086 inf + 1194
5.753 * * [simplify]: Extracting #3: cost 1458 inf + 53842
5.833 * * [simplify]: Extracting #4: cost 881 inf + 213843
5.969 * * [simplify]: Extracting #5: cost 190 inf + 403225
6.101 * * [simplify]: Extracting #6: cost 48 inf + 459673
6.211 * * [simplify]: Extracting #7: cost 10 inf + 465327
6.346 * * [simplify]: Extracting #8: cost 0 inf + 468137
6.492 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (- (* re re) (* (sqrt (+ (* im im) (* re re))) (- re (sqrt (+ (* im im) (* re re))))))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  2
  (log (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))))
  (* (fabs (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (fabs (cbrt (+ (* im im) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
6.527 * * * [progress]: adding candidates to table
7.160 * * [progress]: iteration 3 / 4
7.160 * * * [progress]: picking best candidate
7.206 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))))>
7.206 * * * [progress]: localizing error
7.276 * * * [progress]: generating rewritten candidates
7.276 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1)
7.287 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
7.300 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
7.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
7.314 * * * [progress]: generating series expansions
7.314 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1 1)
7.315 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.315 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.315 * [taylor]: Taking taylor expansion of im in im
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.315 * [taylor]: Taking taylor expansion of re in im
7.315 * [backup-simplify]: Simplify re into re
7.315 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.315 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.315 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.315 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.316 * [backup-simplify]: Simplify (+ 0 0) into 0
7.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.316 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.316 * [taylor]: Taking taylor expansion of im in re
7.316 * [backup-simplify]: Simplify im into im
7.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.316 * [taylor]: Taking taylor expansion of re in re
7.316 * [backup-simplify]: Simplify 0 into 0
7.316 * [backup-simplify]: Simplify 1 into 1
7.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.316 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.316 * [backup-simplify]: Simplify (+ 0 0) into 0
7.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.317 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.317 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.317 * [taylor]: Taking taylor expansion of im in re
7.317 * [backup-simplify]: Simplify im into im
7.317 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.317 * [taylor]: Taking taylor expansion of re in re
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 1 into 1
7.317 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.317 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.317 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.317 * [backup-simplify]: Simplify (+ 0 0) into 0
7.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.317 * [taylor]: Taking taylor expansion of im in im
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 1 into 1
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [taylor]: Taking taylor expansion of 0 in im
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 0 into 0
7.318 * [backup-simplify]: Simplify 1 into 1
7.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.318 * [backup-simplify]: Simplify (* 1 1) into 1
7.318 * [backup-simplify]: Simplify (+ 0 1) into 1
7.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.319 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.319 * [taylor]: Taking taylor expansion of 1/2 in im
7.319 * [backup-simplify]: Simplify 1/2 into 1/2
7.319 * [taylor]: Taking taylor expansion of im in im
7.319 * [backup-simplify]: Simplify 0 into 0
7.319 * [backup-simplify]: Simplify 1 into 1
7.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.321 * [backup-simplify]: Simplify (+ 0 0) into 0
7.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.321 * [taylor]: Taking taylor expansion of 0 in im
7.321 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.322 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.322 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.322 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.322 * [taylor]: Taking taylor expansion of re in im
7.322 * [backup-simplify]: Simplify re into re
7.322 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.322 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.322 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.322 * [taylor]: Taking taylor expansion of im in im
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.323 * [backup-simplify]: Simplify (* 1 1) into 1
7.323 * [backup-simplify]: Simplify (/ 1 1) into 1
7.323 * [backup-simplify]: Simplify (+ 0 1) into 1
7.323 * [backup-simplify]: Simplify (sqrt 1) into 1
7.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.324 * [backup-simplify]: Simplify (+ 0 0) into 0
7.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.325 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.325 * [taylor]: Taking taylor expansion of re in re
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 1 into 1
7.326 * [backup-simplify]: Simplify (* 1 1) into 1
7.326 * [backup-simplify]: Simplify (/ 1 1) into 1
7.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.326 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.326 * [taylor]: Taking taylor expansion of im in re
7.326 * [backup-simplify]: Simplify im into im
7.326 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.327 * [backup-simplify]: Simplify (+ 1 0) into 1
7.327 * [backup-simplify]: Simplify (sqrt 1) into 1
7.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (+ 0 0) into 0
7.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.330 * [taylor]: Taking taylor expansion of re in re
7.330 * [backup-simplify]: Simplify 0 into 0
7.330 * [backup-simplify]: Simplify 1 into 1
7.330 * [backup-simplify]: Simplify (* 1 1) into 1
7.331 * [backup-simplify]: Simplify (/ 1 1) into 1
7.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.331 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.331 * [taylor]: Taking taylor expansion of im in re
7.331 * [backup-simplify]: Simplify im into im
7.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.331 * [backup-simplify]: Simplify (+ 1 0) into 1
7.332 * [backup-simplify]: Simplify (sqrt 1) into 1
7.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.333 * [backup-simplify]: Simplify (+ 0 0) into 0
7.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.333 * [taylor]: Taking taylor expansion of 1 in im
7.333 * [backup-simplify]: Simplify 1 into 1
7.333 * [taylor]: Taking taylor expansion of 0 in im
7.333 * [backup-simplify]: Simplify 0 into 0
7.333 * [backup-simplify]: Simplify 1 into 1
7.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.335 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.335 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.335 * [taylor]: Taking taylor expansion of 1/2 in im
7.335 * [backup-simplify]: Simplify 1/2 into 1/2
7.335 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.335 * [taylor]: Taking taylor expansion of im in im
7.335 * [backup-simplify]: Simplify 0 into 0
7.335 * [backup-simplify]: Simplify 1 into 1
7.336 * [backup-simplify]: Simplify (* 1 1) into 1
7.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.337 * [backup-simplify]: Simplify 0 into 0
7.337 * [backup-simplify]: Simplify 0 into 0
7.337 * [backup-simplify]: Simplify 0 into 0
7.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.338 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.338 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.339 * [taylor]: Taking taylor expansion of 0 in im
7.339 * [backup-simplify]: Simplify 0 into 0
7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.340 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.340 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.340 * [taylor]: Taking taylor expansion of re in im
7.340 * [backup-simplify]: Simplify re into re
7.340 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.341 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.341 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.341 * [taylor]: Taking taylor expansion of im in im
7.341 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify 1 into 1
7.341 * [backup-simplify]: Simplify (* 1 1) into 1
7.341 * [backup-simplify]: Simplify (/ 1 1) into 1
7.341 * [backup-simplify]: Simplify (+ 0 1) into 1
7.342 * [backup-simplify]: Simplify (sqrt 1) into 1
7.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.343 * [backup-simplify]: Simplify (+ 0 0) into 0
7.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.343 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.343 * [taylor]: Taking taylor expansion of re in re
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [backup-simplify]: Simplify (* 1 1) into 1
7.344 * [backup-simplify]: Simplify (/ 1 1) into 1
7.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.344 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.344 * [taylor]: Taking taylor expansion of im in re
7.344 * [backup-simplify]: Simplify im into im
7.344 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.344 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.344 * [backup-simplify]: Simplify (+ 1 0) into 1
7.344 * [backup-simplify]: Simplify (sqrt 1) into 1
7.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.345 * [backup-simplify]: Simplify (+ 0 0) into 0
7.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.346 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.346 * [taylor]: Taking taylor expansion of re in re
7.346 * [backup-simplify]: Simplify 0 into 0
7.346 * [backup-simplify]: Simplify 1 into 1
7.346 * [backup-simplify]: Simplify (* 1 1) into 1
7.346 * [backup-simplify]: Simplify (/ 1 1) into 1
7.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.346 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.347 * [taylor]: Taking taylor expansion of im in re
7.347 * [backup-simplify]: Simplify im into im
7.347 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.347 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.347 * [backup-simplify]: Simplify (+ 1 0) into 1
7.347 * [backup-simplify]: Simplify (sqrt 1) into 1
7.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.348 * [backup-simplify]: Simplify (+ 0 0) into 0
7.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.349 * [taylor]: Taking taylor expansion of 1 in im
7.349 * [backup-simplify]: Simplify 1 into 1
7.349 * [taylor]: Taking taylor expansion of 0 in im
7.349 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify 1 into 1
7.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.350 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.351 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.351 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.351 * [taylor]: Taking taylor expansion of 1/2 in im
7.351 * [backup-simplify]: Simplify 1/2 into 1/2
7.351 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.351 * [taylor]: Taking taylor expansion of im in im
7.351 * [backup-simplify]: Simplify 0 into 0
7.351 * [backup-simplify]: Simplify 1 into 1
7.351 * [backup-simplify]: Simplify (* 1 1) into 1
7.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.352 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.354 * [backup-simplify]: Simplify (+ 0 0) into 0
7.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.355 * [taylor]: Taking taylor expansion of 0 in im
7.355 * [backup-simplify]: Simplify 0 into 0
7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
7.356 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.356 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.356 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.356 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.356 * [taylor]: Taking taylor expansion of im in im
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 1 into 1
7.356 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.356 * [taylor]: Taking taylor expansion of re in im
7.356 * [backup-simplify]: Simplify re into re
7.356 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.356 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.357 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.357 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.357 * [backup-simplify]: Simplify (+ 0 0) into 0
7.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.357 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.357 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.357 * [taylor]: Taking taylor expansion of im in re
7.357 * [backup-simplify]: Simplify im into im
7.357 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.357 * [taylor]: Taking taylor expansion of re in re
7.357 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 1 into 1
7.358 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.358 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.358 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.358 * [backup-simplify]: Simplify (+ 0 0) into 0
7.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.359 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.359 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.359 * [taylor]: Taking taylor expansion of im in re
7.359 * [backup-simplify]: Simplify im into im
7.359 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.359 * [taylor]: Taking taylor expansion of re in re
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.359 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.359 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.359 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.360 * [backup-simplify]: Simplify (+ 0 0) into 0
7.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.360 * [taylor]: Taking taylor expansion of im in im
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 1 into 1
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [taylor]: Taking taylor expansion of 0 in im
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 1 into 1
7.361 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.361 * [backup-simplify]: Simplify (* 1 1) into 1
7.361 * [backup-simplify]: Simplify (+ 0 1) into 1
7.362 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.362 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.362 * [taylor]: Taking taylor expansion of 1/2 in im
7.362 * [backup-simplify]: Simplify 1/2 into 1/2
7.362 * [taylor]: Taking taylor expansion of im in im
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.366 * [backup-simplify]: Simplify (+ 0 0) into 0
7.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.366 * [taylor]: Taking taylor expansion of 0 in im
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.368 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.368 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.368 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.368 * [taylor]: Taking taylor expansion of re in im
7.368 * [backup-simplify]: Simplify re into re
7.368 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.368 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.368 * [taylor]: Taking taylor expansion of im in im
7.368 * [backup-simplify]: Simplify 0 into 0
7.368 * [backup-simplify]: Simplify 1 into 1
7.369 * [backup-simplify]: Simplify (* 1 1) into 1
7.369 * [backup-simplify]: Simplify (/ 1 1) into 1
7.370 * [backup-simplify]: Simplify (+ 0 1) into 1
7.370 * [backup-simplify]: Simplify (sqrt 1) into 1
7.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.372 * [backup-simplify]: Simplify (+ 0 0) into 0
7.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.373 * [taylor]: Taking taylor expansion of re in re
7.373 * [backup-simplify]: Simplify 0 into 0
7.373 * [backup-simplify]: Simplify 1 into 1
7.373 * [backup-simplify]: Simplify (* 1 1) into 1
7.374 * [backup-simplify]: Simplify (/ 1 1) into 1
7.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.374 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.374 * [taylor]: Taking taylor expansion of im in re
7.374 * [backup-simplify]: Simplify im into im
7.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.374 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.374 * [backup-simplify]: Simplify (+ 1 0) into 1
7.375 * [backup-simplify]: Simplify (sqrt 1) into 1
7.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.376 * [backup-simplify]: Simplify (+ 0 0) into 0
7.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.377 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.377 * [taylor]: Taking taylor expansion of re in re
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [backup-simplify]: Simplify 1 into 1
7.378 * [backup-simplify]: Simplify (* 1 1) into 1
7.378 * [backup-simplify]: Simplify (/ 1 1) into 1
7.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.378 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.378 * [taylor]: Taking taylor expansion of im in re
7.378 * [backup-simplify]: Simplify im into im
7.378 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.378 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.379 * [backup-simplify]: Simplify (+ 1 0) into 1
7.379 * [backup-simplify]: Simplify (sqrt 1) into 1
7.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.381 * [backup-simplify]: Simplify (+ 0 0) into 0
7.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.382 * [taylor]: Taking taylor expansion of 1 in im
7.382 * [backup-simplify]: Simplify 1 into 1
7.382 * [taylor]: Taking taylor expansion of 0 in im
7.382 * [backup-simplify]: Simplify 0 into 0
7.382 * [backup-simplify]: Simplify 1 into 1
7.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.385 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.385 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.385 * [taylor]: Taking taylor expansion of 1/2 in im
7.385 * [backup-simplify]: Simplify 1/2 into 1/2
7.385 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.385 * [taylor]: Taking taylor expansion of im in im
7.385 * [backup-simplify]: Simplify 0 into 0
7.385 * [backup-simplify]: Simplify 1 into 1
7.386 * [backup-simplify]: Simplify (* 1 1) into 1
7.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.390 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.391 * [backup-simplify]: Simplify (+ 0 0) into 0
7.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.391 * [taylor]: Taking taylor expansion of 0 in im
7.391 * [backup-simplify]: Simplify 0 into 0
7.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.394 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.394 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.394 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.394 * [taylor]: Taking taylor expansion of re in im
7.394 * [backup-simplify]: Simplify re into re
7.394 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.394 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.394 * [taylor]: Taking taylor expansion of im in im
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 1 into 1
7.395 * [backup-simplify]: Simplify (* 1 1) into 1
7.395 * [backup-simplify]: Simplify (/ 1 1) into 1
7.396 * [backup-simplify]: Simplify (+ 0 1) into 1
7.396 * [backup-simplify]: Simplify (sqrt 1) into 1
7.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.399 * [backup-simplify]: Simplify (+ 0 0) into 0
7.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.400 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.400 * [taylor]: Taking taylor expansion of re in re
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify 1 into 1
7.400 * [backup-simplify]: Simplify (* 1 1) into 1
7.401 * [backup-simplify]: Simplify (/ 1 1) into 1
7.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.401 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.401 * [taylor]: Taking taylor expansion of im in re
7.401 * [backup-simplify]: Simplify im into im
7.401 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.402 * [backup-simplify]: Simplify (+ 1 0) into 1
7.402 * [backup-simplify]: Simplify (sqrt 1) into 1
7.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.404 * [backup-simplify]: Simplify (+ 0 0) into 0
7.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.405 * [taylor]: Taking taylor expansion of re in re
7.405 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify 1 into 1
7.410 * [backup-simplify]: Simplify (* 1 1) into 1
7.411 * [backup-simplify]: Simplify (/ 1 1) into 1
7.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.411 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.411 * [taylor]: Taking taylor expansion of im in re
7.411 * [backup-simplify]: Simplify im into im
7.411 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.412 * [backup-simplify]: Simplify (+ 1 0) into 1
7.412 * [backup-simplify]: Simplify (sqrt 1) into 1
7.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.414 * [backup-simplify]: Simplify (+ 0 0) into 0
7.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.415 * [taylor]: Taking taylor expansion of 1 in im
7.415 * [backup-simplify]: Simplify 1 into 1
7.415 * [taylor]: Taking taylor expansion of 0 in im
7.415 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify 1 into 1
7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.417 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.419 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.419 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.419 * [taylor]: Taking taylor expansion of 1/2 in im
7.419 * [backup-simplify]: Simplify 1/2 into 1/2
7.419 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.419 * [taylor]: Taking taylor expansion of im in im
7.419 * [backup-simplify]: Simplify 0 into 0
7.419 * [backup-simplify]: Simplify 1 into 1
7.419 * [backup-simplify]: Simplify (* 1 1) into 1
7.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify 0 into 0
7.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.424 * [backup-simplify]: Simplify (+ 0 0) into 0
7.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.425 * [taylor]: Taking taylor expansion of 0 in im
7.425 * [backup-simplify]: Simplify 0 into 0
7.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
7.428 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.428 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.428 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.428 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.428 * [taylor]: Taking taylor expansion of im in im
7.428 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify 1 into 1
7.428 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.428 * [taylor]: Taking taylor expansion of re in im
7.428 * [backup-simplify]: Simplify re into re
7.428 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.428 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.428 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.429 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.429 * [backup-simplify]: Simplify (+ 0 0) into 0
7.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.429 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.429 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.429 * [taylor]: Taking taylor expansion of im in re
7.429 * [backup-simplify]: Simplify im into im
7.429 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.429 * [taylor]: Taking taylor expansion of re in re
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.430 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.430 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.430 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.430 * [backup-simplify]: Simplify (+ 0 0) into 0
7.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.431 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.431 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.431 * [taylor]: Taking taylor expansion of im in re
7.431 * [backup-simplify]: Simplify im into im
7.431 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.431 * [taylor]: Taking taylor expansion of re in re
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 1 into 1
7.431 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.431 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.432 * [backup-simplify]: Simplify (+ 0 0) into 0
7.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.432 * [taylor]: Taking taylor expansion of im in im
7.432 * [backup-simplify]: Simplify 0 into 0
7.432 * [backup-simplify]: Simplify 1 into 1
7.432 * [backup-simplify]: Simplify 0 into 0
7.432 * [taylor]: Taking taylor expansion of 0 in im
7.432 * [backup-simplify]: Simplify 0 into 0
7.432 * [backup-simplify]: Simplify 0 into 0
7.432 * [backup-simplify]: Simplify 1 into 1
7.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.433 * [backup-simplify]: Simplify (* 1 1) into 1
7.434 * [backup-simplify]: Simplify (+ 0 1) into 1
7.434 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.434 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.434 * [taylor]: Taking taylor expansion of 1/2 in im
7.434 * [backup-simplify]: Simplify 1/2 into 1/2
7.434 * [taylor]: Taking taylor expansion of im in im
7.434 * [backup-simplify]: Simplify 0 into 0
7.435 * [backup-simplify]: Simplify 1 into 1
7.435 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.436 * [backup-simplify]: Simplify 0 into 0
7.436 * [backup-simplify]: Simplify 0 into 0
7.436 * [backup-simplify]: Simplify 0 into 0
7.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.438 * [backup-simplify]: Simplify (+ 0 0) into 0
7.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.438 * [taylor]: Taking taylor expansion of 0 in im
7.438 * [backup-simplify]: Simplify 0 into 0
7.438 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.439 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.440 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.440 * [taylor]: Taking taylor expansion of re in im
7.440 * [backup-simplify]: Simplify re into re
7.440 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.440 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.440 * [taylor]: Taking taylor expansion of im in im
7.440 * [backup-simplify]: Simplify 0 into 0
7.440 * [backup-simplify]: Simplify 1 into 1
7.440 * [backup-simplify]: Simplify (* 1 1) into 1
7.441 * [backup-simplify]: Simplify (/ 1 1) into 1
7.441 * [backup-simplify]: Simplify (+ 0 1) into 1
7.442 * [backup-simplify]: Simplify (sqrt 1) into 1
7.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.443 * [backup-simplify]: Simplify (+ 0 0) into 0
7.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.444 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.444 * [taylor]: Taking taylor expansion of re in re
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [backup-simplify]: Simplify 1 into 1
7.445 * [backup-simplify]: Simplify (* 1 1) into 1
7.445 * [backup-simplify]: Simplify (/ 1 1) into 1
7.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.445 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.445 * [taylor]: Taking taylor expansion of im in re
7.445 * [backup-simplify]: Simplify im into im
7.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.446 * [backup-simplify]: Simplify (+ 1 0) into 1
7.446 * [backup-simplify]: Simplify (sqrt 1) into 1
7.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.448 * [backup-simplify]: Simplify (+ 0 0) into 0
7.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.449 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.449 * [taylor]: Taking taylor expansion of re in re
7.449 * [backup-simplify]: Simplify 0 into 0
7.449 * [backup-simplify]: Simplify 1 into 1
7.449 * [backup-simplify]: Simplify (* 1 1) into 1
7.450 * [backup-simplify]: Simplify (/ 1 1) into 1
7.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.450 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.450 * [taylor]: Taking taylor expansion of im in re
7.450 * [backup-simplify]: Simplify im into im
7.450 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.451 * [backup-simplify]: Simplify (+ 1 0) into 1
7.451 * [backup-simplify]: Simplify (sqrt 1) into 1
7.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.453 * [backup-simplify]: Simplify (+ 0 0) into 0
7.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.454 * [taylor]: Taking taylor expansion of 1 in im
7.454 * [backup-simplify]: Simplify 1 into 1
7.454 * [taylor]: Taking taylor expansion of 0 in im
7.454 * [backup-simplify]: Simplify 0 into 0
7.454 * [backup-simplify]: Simplify 1 into 1
7.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.456 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.457 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.457 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.457 * [taylor]: Taking taylor expansion of 1/2 in im
7.457 * [backup-simplify]: Simplify 1/2 into 1/2
7.457 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.457 * [taylor]: Taking taylor expansion of im in im
7.457 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 1 into 1
7.458 * [backup-simplify]: Simplify (* 1 1) into 1
7.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.463 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.464 * [taylor]: Taking taylor expansion of 0 in im
7.464 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.467 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.467 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.467 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.467 * [taylor]: Taking taylor expansion of re in im
7.467 * [backup-simplify]: Simplify re into re
7.467 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.468 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.468 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.468 * [taylor]: Taking taylor expansion of im in im
7.468 * [backup-simplify]: Simplify 0 into 0
7.468 * [backup-simplify]: Simplify 1 into 1
7.468 * [backup-simplify]: Simplify (* 1 1) into 1
7.469 * [backup-simplify]: Simplify (/ 1 1) into 1
7.469 * [backup-simplify]: Simplify (+ 0 1) into 1
7.469 * [backup-simplify]: Simplify (sqrt 1) into 1
7.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.471 * [backup-simplify]: Simplify (+ 0 0) into 0
7.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.472 * [taylor]: Taking taylor expansion of re in re
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.473 * [backup-simplify]: Simplify (* 1 1) into 1
7.473 * [backup-simplify]: Simplify (/ 1 1) into 1
7.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.473 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.473 * [taylor]: Taking taylor expansion of im in re
7.473 * [backup-simplify]: Simplify im into im
7.473 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.474 * [backup-simplify]: Simplify (+ 1 0) into 1
7.474 * [backup-simplify]: Simplify (sqrt 1) into 1
7.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.476 * [backup-simplify]: Simplify (+ 0 0) into 0
7.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.477 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.477 * [taylor]: Taking taylor expansion of re in re
7.477 * [backup-simplify]: Simplify 0 into 0
7.477 * [backup-simplify]: Simplify 1 into 1
7.477 * [backup-simplify]: Simplify (* 1 1) into 1
7.477 * [backup-simplify]: Simplify (/ 1 1) into 1
7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.477 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.477 * [taylor]: Taking taylor expansion of im in re
7.477 * [backup-simplify]: Simplify im into im
7.477 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.478 * [backup-simplify]: Simplify (+ 1 0) into 1
7.478 * [backup-simplify]: Simplify (sqrt 1) into 1
7.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.479 * [backup-simplify]: Simplify (+ 0 0) into 0
7.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.480 * [taylor]: Taking taylor expansion of 1 in im
7.480 * [backup-simplify]: Simplify 1 into 1
7.480 * [taylor]: Taking taylor expansion of 0 in im
7.480 * [backup-simplify]: Simplify 0 into 0
7.480 * [backup-simplify]: Simplify 1 into 1
7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.481 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.482 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.482 * [taylor]: Taking taylor expansion of 1/2 in im
7.482 * [backup-simplify]: Simplify 1/2 into 1/2
7.482 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.482 * [taylor]: Taking taylor expansion of im in im
7.482 * [backup-simplify]: Simplify 0 into 0
7.482 * [backup-simplify]: Simplify 1 into 1
7.482 * [backup-simplify]: Simplify (* 1 1) into 1
7.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.485 * [taylor]: Taking taylor expansion of 0 in im
7.485 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
7.487 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.487 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.487 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.487 * [taylor]: Taking taylor expansion of im in im
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 1 into 1
7.487 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.487 * [taylor]: Taking taylor expansion of re in im
7.487 * [backup-simplify]: Simplify re into re
7.487 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.487 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.488 * [backup-simplify]: Simplify (+ 0 0) into 0
7.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.488 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.488 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.488 * [taylor]: Taking taylor expansion of im in re
7.488 * [backup-simplify]: Simplify im into im
7.488 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.488 * [taylor]: Taking taylor expansion of re in re
7.488 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.488 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.488 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.488 * [backup-simplify]: Simplify (+ 0 0) into 0
7.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.489 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.489 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.489 * [taylor]: Taking taylor expansion of im in re
7.489 * [backup-simplify]: Simplify im into im
7.489 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.489 * [taylor]: Taking taylor expansion of re in re
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.489 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.489 * [backup-simplify]: Simplify (+ 0 0) into 0
7.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.489 * [taylor]: Taking taylor expansion of im in im
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [taylor]: Taking taylor expansion of 0 in im
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.490 * [backup-simplify]: Simplify (* 1 1) into 1
7.490 * [backup-simplify]: Simplify (+ 0 1) into 1
7.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.491 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.491 * [taylor]: Taking taylor expansion of 1/2 in im
7.491 * [backup-simplify]: Simplify 1/2 into 1/2
7.491 * [taylor]: Taking taylor expansion of im in im
7.491 * [backup-simplify]: Simplify 0 into 0
7.491 * [backup-simplify]: Simplify 1 into 1
7.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.493 * [backup-simplify]: Simplify (+ 0 0) into 0
7.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.493 * [taylor]: Taking taylor expansion of 0 in im
7.493 * [backup-simplify]: Simplify 0 into 0
7.493 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.494 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.494 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.494 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.494 * [taylor]: Taking taylor expansion of re in im
7.494 * [backup-simplify]: Simplify re into re
7.494 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.494 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.494 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.494 * [taylor]: Taking taylor expansion of im in im
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify 1 into 1
7.494 * [backup-simplify]: Simplify (* 1 1) into 1
7.495 * [backup-simplify]: Simplify (/ 1 1) into 1
7.495 * [backup-simplify]: Simplify (+ 0 1) into 1
7.495 * [backup-simplify]: Simplify (sqrt 1) into 1
7.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.496 * [backup-simplify]: Simplify (+ 0 0) into 0
7.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.497 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.497 * [taylor]: Taking taylor expansion of re in re
7.497 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify 1 into 1
7.497 * [backup-simplify]: Simplify (* 1 1) into 1
7.497 * [backup-simplify]: Simplify (/ 1 1) into 1
7.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.497 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.497 * [taylor]: Taking taylor expansion of im in re
7.497 * [backup-simplify]: Simplify im into im
7.497 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.498 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.498 * [backup-simplify]: Simplify (+ 1 0) into 1
7.498 * [backup-simplify]: Simplify (sqrt 1) into 1
7.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.499 * [backup-simplify]: Simplify (+ 0 0) into 0
7.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.500 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.500 * [taylor]: Taking taylor expansion of re in re
7.500 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify 1 into 1
7.500 * [backup-simplify]: Simplify (* 1 1) into 1
7.500 * [backup-simplify]: Simplify (/ 1 1) into 1
7.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.500 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.500 * [taylor]: Taking taylor expansion of im in re
7.500 * [backup-simplify]: Simplify im into im
7.500 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.501 * [backup-simplify]: Simplify (+ 1 0) into 1
7.501 * [backup-simplify]: Simplify (sqrt 1) into 1
7.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.502 * [backup-simplify]: Simplify (+ 0 0) into 0
7.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.502 * [taylor]: Taking taylor expansion of 1 in im
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [taylor]: Taking taylor expansion of 0 in im
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.504 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.504 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.504 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.504 * [taylor]: Taking taylor expansion of 1/2 in im
7.505 * [backup-simplify]: Simplify 1/2 into 1/2
7.505 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.505 * [taylor]: Taking taylor expansion of im in im
7.505 * [backup-simplify]: Simplify 0 into 0
7.505 * [backup-simplify]: Simplify 1 into 1
7.505 * [backup-simplify]: Simplify (* 1 1) into 1
7.505 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.508 * [backup-simplify]: Simplify (+ 0 0) into 0
7.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.508 * [taylor]: Taking taylor expansion of 0 in im
7.508 * [backup-simplify]: Simplify 0 into 0
7.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.511 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.511 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.511 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.511 * [taylor]: Taking taylor expansion of re in im
7.511 * [backup-simplify]: Simplify re into re
7.511 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.511 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.511 * [taylor]: Taking taylor expansion of im in im
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify 1 into 1
7.512 * [backup-simplify]: Simplify (* 1 1) into 1
7.512 * [backup-simplify]: Simplify (/ 1 1) into 1
7.513 * [backup-simplify]: Simplify (+ 0 1) into 1
7.513 * [backup-simplify]: Simplify (sqrt 1) into 1
7.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.515 * [backup-simplify]: Simplify (+ 0 0) into 0
7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.516 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.516 * [taylor]: Taking taylor expansion of re in re
7.516 * [backup-simplify]: Simplify 0 into 0
7.516 * [backup-simplify]: Simplify 1 into 1
7.516 * [backup-simplify]: Simplify (* 1 1) into 1
7.517 * [backup-simplify]: Simplify (/ 1 1) into 1
7.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.517 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.517 * [taylor]: Taking taylor expansion of im in re
7.517 * [backup-simplify]: Simplify im into im
7.517 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.518 * [backup-simplify]: Simplify (+ 1 0) into 1
7.518 * [backup-simplify]: Simplify (sqrt 1) into 1
7.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.520 * [backup-simplify]: Simplify (+ 0 0) into 0
7.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.521 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.521 * [taylor]: Taking taylor expansion of re in re
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.521 * [backup-simplify]: Simplify (* 1 1) into 1
7.522 * [backup-simplify]: Simplify (/ 1 1) into 1
7.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.522 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.522 * [taylor]: Taking taylor expansion of im in re
7.522 * [backup-simplify]: Simplify im into im
7.522 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.523 * [backup-simplify]: Simplify (+ 1 0) into 1
7.523 * [backup-simplify]: Simplify (sqrt 1) into 1
7.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.525 * [backup-simplify]: Simplify (+ 0 0) into 0
7.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.526 * [taylor]: Taking taylor expansion of 1 in im
7.526 * [backup-simplify]: Simplify 1 into 1
7.526 * [taylor]: Taking taylor expansion of 0 in im
7.526 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify 1 into 1
7.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.528 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.530 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.530 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.530 * [taylor]: Taking taylor expansion of 1/2 in im
7.530 * [backup-simplify]: Simplify 1/2 into 1/2
7.530 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.530 * [taylor]: Taking taylor expansion of im in im
7.530 * [backup-simplify]: Simplify 0 into 0
7.530 * [backup-simplify]: Simplify 1 into 1
7.530 * [backup-simplify]: Simplify (* 1 1) into 1
7.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.535 * [backup-simplify]: Simplify (+ 0 0) into 0
7.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.536 * [taylor]: Taking taylor expansion of 0 in im
7.536 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.539 * * * [progress]: simplifying candidates
7.541 * [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)
7.542 * * [simplify]: iteration 0: 38 enodes
7.565 * * [simplify]: iteration 1: 91 enodes
7.604 * * [simplify]: iteration 2: 195 enodes
7.683 * * [simplify]: iteration 3: 429 enodes
7.875 * * [simplify]: iteration 4: 992 enodes
8.543 * * [simplify]: iteration 5: 3274 enodes
9.733 * * [simplify]: iteration complete: 5001 enodes
9.733 * * [simplify]: Extracting #0: cost 18 inf + 0
9.733 * * [simplify]: Extracting #1: cost 36 inf + 4
9.733 * * [simplify]: Extracting #2: cost 198 inf + 49
9.737 * * [simplify]: Extracting #3: cost 844 inf + 9394
9.757 * * [simplify]: Extracting #4: cost 709 inf + 109362
9.809 * * [simplify]: Extracting #5: cost 361 inf + 200387
9.892 * * [simplify]: Extracting #6: cost 181 inf + 287241
9.976 * * [simplify]: Extracting #7: cost 70 inf + 354319
10.062 * * [simplify]: Extracting #8: cost 19 inf + 368136
10.141 * * [simplify]: Extracting #9: cost 0 inf + 373703
10.213 * [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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im 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)
10.226 * * * [progress]: adding candidates to table
10.812 * * [progress]: iteration 4 / 4
10.812 * * * [progress]: picking best candidate
10.840 * * * * [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)))))))>
10.840 * * * [progress]: localizing error
10.942 * * * [progress]: generating rewritten candidates
10.942 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
10.959 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
10.971 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
10.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
10.996 * * * [progress]: generating series expansions
10.996 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
10.997 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.997 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.997 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.997 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.997 * [taylor]: Taking taylor expansion of im in im
10.997 * [backup-simplify]: Simplify 0 into 0
10.997 * [backup-simplify]: Simplify 1 into 1
10.997 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.997 * [taylor]: Taking taylor expansion of re in im
10.997 * [backup-simplify]: Simplify re into re
10.997 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.997 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.997 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.997 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.998 * [backup-simplify]: Simplify (+ 0 0) into 0
10.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.998 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.998 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.998 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.998 * [taylor]: Taking taylor expansion of im in re
10.998 * [backup-simplify]: Simplify im into im
10.998 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.999 * [taylor]: Taking taylor expansion of re in re
10.999 * [backup-simplify]: Simplify 0 into 0
10.999 * [backup-simplify]: Simplify 1 into 1
10.999 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.999 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.999 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.999 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.999 * [backup-simplify]: Simplify (+ 0 0) into 0
11.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.000 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.000 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.000 * [taylor]: Taking taylor expansion of im in re
11.000 * [backup-simplify]: Simplify im into im
11.000 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.000 * [taylor]: Taking taylor expansion of re in re
11.000 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify 1 into 1
11.000 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.000 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.000 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.000 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.001 * [backup-simplify]: Simplify (+ 0 0) into 0
11.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.001 * [taylor]: Taking taylor expansion of im in im
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [backup-simplify]: Simplify 1 into 1
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [taylor]: Taking taylor expansion of 0 in im
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [backup-simplify]: Simplify 1 into 1
11.001 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.002 * [backup-simplify]: Simplify (* 1 1) into 1
11.002 * [backup-simplify]: Simplify (+ 0 1) into 1
11.003 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.003 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.003 * [taylor]: Taking taylor expansion of 1/2 in im
11.003 * [backup-simplify]: Simplify 1/2 into 1/2
11.003 * [taylor]: Taking taylor expansion of im in im
11.003 * [backup-simplify]: Simplify 0 into 0
11.003 * [backup-simplify]: Simplify 1 into 1
11.004 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.005 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.006 * [backup-simplify]: Simplify (+ 0 0) into 0
11.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.006 * [taylor]: Taking taylor expansion of 0 in im
11.006 * [backup-simplify]: Simplify 0 into 0
11.007 * [backup-simplify]: Simplify 0 into 0
11.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.008 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.008 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.008 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.008 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.008 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.008 * [taylor]: Taking taylor expansion of re in im
11.008 * [backup-simplify]: Simplify re into re
11.008 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.008 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.008 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.008 * [taylor]: Taking taylor expansion of im in im
11.008 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify 1 into 1
11.009 * [backup-simplify]: Simplify (* 1 1) into 1
11.009 * [backup-simplify]: Simplify (/ 1 1) into 1
11.010 * [backup-simplify]: Simplify (+ 0 1) into 1
11.010 * [backup-simplify]: Simplify (sqrt 1) into 1
11.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.012 * [backup-simplify]: Simplify (+ 0 0) into 0
11.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.012 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.012 * [taylor]: Taking taylor expansion of re in re
11.012 * [backup-simplify]: Simplify 0 into 0
11.013 * [backup-simplify]: Simplify 1 into 1
11.013 * [backup-simplify]: Simplify (* 1 1) into 1
11.013 * [backup-simplify]: Simplify (/ 1 1) into 1
11.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.013 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.013 * [taylor]: Taking taylor expansion of im in re
11.013 * [backup-simplify]: Simplify im into im
11.013 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.014 * [backup-simplify]: Simplify (+ 1 0) into 1
11.014 * [backup-simplify]: Simplify (sqrt 1) into 1
11.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.016 * [backup-simplify]: Simplify (+ 0 0) into 0
11.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.017 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.017 * [taylor]: Taking taylor expansion of re in re
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 1 into 1
11.017 * [backup-simplify]: Simplify (* 1 1) into 1
11.018 * [backup-simplify]: Simplify (/ 1 1) into 1
11.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.018 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.018 * [taylor]: Taking taylor expansion of im in re
11.018 * [backup-simplify]: Simplify im into im
11.018 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.018 * [backup-simplify]: Simplify (+ 1 0) into 1
11.019 * [backup-simplify]: Simplify (sqrt 1) into 1
11.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.020 * [backup-simplify]: Simplify (+ 0 0) into 0
11.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.021 * [taylor]: Taking taylor expansion of 1 in im
11.021 * [backup-simplify]: Simplify 1 into 1
11.021 * [taylor]: Taking taylor expansion of 0 in im
11.021 * [backup-simplify]: Simplify 0 into 0
11.021 * [backup-simplify]: Simplify 1 into 1
11.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.023 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.025 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.025 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.025 * [taylor]: Taking taylor expansion of 1/2 in im
11.025 * [backup-simplify]: Simplify 1/2 into 1/2
11.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.025 * [taylor]: Taking taylor expansion of im in im
11.025 * [backup-simplify]: Simplify 0 into 0
11.025 * [backup-simplify]: Simplify 1 into 1
11.025 * [backup-simplify]: Simplify (* 1 1) into 1
11.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.027 * [backup-simplify]: Simplify 0 into 0
11.027 * [backup-simplify]: Simplify 0 into 0
11.027 * [backup-simplify]: Simplify 0 into 0
11.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.030 * [backup-simplify]: Simplify (+ 0 0) into 0
11.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.031 * [taylor]: Taking taylor expansion of 0 in im
11.031 * [backup-simplify]: Simplify 0 into 0
11.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.033 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.034 * [taylor]: Taking taylor expansion of re in im
11.034 * [backup-simplify]: Simplify re into re
11.034 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.034 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.034 * [taylor]: Taking taylor expansion of im in im
11.034 * [backup-simplify]: Simplify 0 into 0
11.034 * [backup-simplify]: Simplify 1 into 1
11.034 * [backup-simplify]: Simplify (* 1 1) into 1
11.035 * [backup-simplify]: Simplify (/ 1 1) into 1
11.035 * [backup-simplify]: Simplify (+ 0 1) into 1
11.036 * [backup-simplify]: Simplify (sqrt 1) into 1
11.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.037 * [backup-simplify]: Simplify (+ 0 0) into 0
11.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.038 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.038 * [taylor]: Taking taylor expansion of re in re
11.038 * [backup-simplify]: Simplify 0 into 0
11.038 * [backup-simplify]: Simplify 1 into 1
11.038 * [backup-simplify]: Simplify (* 1 1) into 1
11.039 * [backup-simplify]: Simplify (/ 1 1) into 1
11.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.039 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.039 * [taylor]: Taking taylor expansion of im in re
11.039 * [backup-simplify]: Simplify im into im
11.039 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.040 * [backup-simplify]: Simplify (+ 1 0) into 1
11.040 * [backup-simplify]: Simplify (sqrt 1) into 1
11.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.042 * [backup-simplify]: Simplify (+ 0 0) into 0
11.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.042 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.042 * [taylor]: Taking taylor expansion of re in re
11.042 * [backup-simplify]: Simplify 0 into 0
11.042 * [backup-simplify]: Simplify 1 into 1
11.043 * [backup-simplify]: Simplify (* 1 1) into 1
11.043 * [backup-simplify]: Simplify (/ 1 1) into 1
11.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.043 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.043 * [taylor]: Taking taylor expansion of im in re
11.043 * [backup-simplify]: Simplify im into im
11.043 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.044 * [backup-simplify]: Simplify (+ 1 0) into 1
11.044 * [backup-simplify]: Simplify (sqrt 1) into 1
11.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.046 * [backup-simplify]: Simplify (+ 0 0) into 0
11.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.047 * [taylor]: Taking taylor expansion of 1 in im
11.047 * [backup-simplify]: Simplify 1 into 1
11.047 * [taylor]: Taking taylor expansion of 0 in im
11.047 * [backup-simplify]: Simplify 0 into 0
11.047 * [backup-simplify]: Simplify 1 into 1
11.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.049 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.050 * [taylor]: Taking taylor expansion of 1/2 in im
11.050 * [backup-simplify]: Simplify 1/2 into 1/2
11.050 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.050 * [taylor]: Taking taylor expansion of im in im
11.050 * [backup-simplify]: Simplify 0 into 0
11.050 * [backup-simplify]: Simplify 1 into 1
11.051 * [backup-simplify]: Simplify (* 1 1) into 1
11.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.052 * [backup-simplify]: Simplify 0 into 0
11.053 * [backup-simplify]: Simplify 0 into 0
11.053 * [backup-simplify]: Simplify 0 into 0
11.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.055 * [backup-simplify]: Simplify (+ 0 0) into 0
11.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.056 * [taylor]: Taking taylor expansion of 0 in im
11.056 * [backup-simplify]: Simplify 0 into 0
11.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
11.058 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.058 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.058 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.058 * [taylor]: Taking taylor expansion of im in im
11.058 * [backup-simplify]: Simplify 0 into 0
11.059 * [backup-simplify]: Simplify 1 into 1
11.059 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.059 * [taylor]: Taking taylor expansion of re in im
11.059 * [backup-simplify]: Simplify re into re
11.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.059 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.059 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.059 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.059 * [backup-simplify]: Simplify (+ 0 0) into 0
11.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.060 * [taylor]: Taking taylor expansion of im in re
11.060 * [backup-simplify]: Simplify im into im
11.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.060 * [taylor]: Taking taylor expansion of re in re
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 1 into 1
11.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.060 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.061 * [backup-simplify]: Simplify (+ 0 0) into 0
11.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.061 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.061 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.061 * [taylor]: Taking taylor expansion of im in re
11.061 * [backup-simplify]: Simplify im into im
11.061 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.061 * [taylor]: Taking taylor expansion of re in re
11.061 * [backup-simplify]: Simplify 0 into 0
11.061 * [backup-simplify]: Simplify 1 into 1
11.061 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.061 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.062 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.062 * [backup-simplify]: Simplify (+ 0 0) into 0
11.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.062 * [taylor]: Taking taylor expansion of im in im
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 1 into 1
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [taylor]: Taking taylor expansion of 0 in im
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.063 * [backup-simplify]: Simplify 1 into 1
11.063 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.063 * [backup-simplify]: Simplify (* 1 1) into 1
11.064 * [backup-simplify]: Simplify (+ 0 1) into 1
11.065 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.065 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.065 * [taylor]: Taking taylor expansion of 1/2 in im
11.065 * [backup-simplify]: Simplify 1/2 into 1/2
11.065 * [taylor]: Taking taylor expansion of im in im
11.065 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify 1 into 1
11.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.066 * [backup-simplify]: Simplify 0 into 0
11.066 * [backup-simplify]: Simplify 0 into 0
11.066 * [backup-simplify]: Simplify 0 into 0
11.067 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.068 * [backup-simplify]: Simplify (+ 0 0) into 0
11.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.068 * [taylor]: Taking taylor expansion of 0 in im
11.068 * [backup-simplify]: Simplify 0 into 0
11.069 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.070 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.070 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.070 * [taylor]: Taking taylor expansion of re in im
11.070 * [backup-simplify]: Simplify re into re
11.070 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.071 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.071 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.071 * [taylor]: Taking taylor expansion of im in im
11.071 * [backup-simplify]: Simplify 0 into 0
11.071 * [backup-simplify]: Simplify 1 into 1
11.071 * [backup-simplify]: Simplify (* 1 1) into 1
11.071 * [backup-simplify]: Simplify (/ 1 1) into 1
11.072 * [backup-simplify]: Simplify (+ 0 1) into 1
11.072 * [backup-simplify]: Simplify (sqrt 1) into 1
11.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.074 * [backup-simplify]: Simplify (+ 0 0) into 0
11.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.075 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.075 * [taylor]: Taking taylor expansion of re in re
11.075 * [backup-simplify]: Simplify 0 into 0
11.075 * [backup-simplify]: Simplify 1 into 1
11.075 * [backup-simplify]: Simplify (* 1 1) into 1
11.076 * [backup-simplify]: Simplify (/ 1 1) into 1
11.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.076 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.076 * [taylor]: Taking taylor expansion of im in re
11.076 * [backup-simplify]: Simplify im into im
11.076 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.077 * [backup-simplify]: Simplify (+ 1 0) into 1
11.077 * [backup-simplify]: Simplify (sqrt 1) into 1
11.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.079 * [backup-simplify]: Simplify (+ 0 0) into 0
11.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.080 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.080 * [taylor]: Taking taylor expansion of re in re
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 1 into 1
11.081 * [backup-simplify]: Simplify (* 1 1) into 1
11.081 * [backup-simplify]: Simplify (/ 1 1) into 1
11.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.081 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.081 * [taylor]: Taking taylor expansion of im in re
11.081 * [backup-simplify]: Simplify im into im
11.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.082 * [backup-simplify]: Simplify (+ 1 0) into 1
11.082 * [backup-simplify]: Simplify (sqrt 1) into 1
11.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.084 * [backup-simplify]: Simplify (+ 0 0) into 0
11.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.085 * [taylor]: Taking taylor expansion of 1 in im
11.085 * [backup-simplify]: Simplify 1 into 1
11.085 * [taylor]: Taking taylor expansion of 0 in im
11.085 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify 1 into 1
11.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.093 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.093 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.093 * [taylor]: Taking taylor expansion of 1/2 in im
11.093 * [backup-simplify]: Simplify 1/2 into 1/2
11.093 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.093 * [taylor]: Taking taylor expansion of im in im
11.093 * [backup-simplify]: Simplify 0 into 0
11.093 * [backup-simplify]: Simplify 1 into 1
11.093 * [backup-simplify]: Simplify (* 1 1) into 1
11.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.095 * [backup-simplify]: Simplify 0 into 0
11.096 * [backup-simplify]: Simplify 0 into 0
11.096 * [backup-simplify]: Simplify 0 into 0
11.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.099 * [backup-simplify]: Simplify (+ 0 0) into 0
11.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.099 * [taylor]: Taking taylor expansion of 0 in im
11.099 * [backup-simplify]: Simplify 0 into 0
11.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.101 * [backup-simplify]: Simplify 0 into 0
11.101 * [backup-simplify]: Simplify 0 into 0
11.102 * [backup-simplify]: Simplify 0 into 0
11.102 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.102 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.102 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.102 * [taylor]: Taking taylor expansion of re in im
11.102 * [backup-simplify]: Simplify re into re
11.102 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.102 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.103 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.103 * [taylor]: Taking taylor expansion of im in im
11.103 * [backup-simplify]: Simplify 0 into 0
11.103 * [backup-simplify]: Simplify 1 into 1
11.103 * [backup-simplify]: Simplify (* 1 1) into 1
11.103 * [backup-simplify]: Simplify (/ 1 1) into 1
11.104 * [backup-simplify]: Simplify (+ 0 1) into 1
11.104 * [backup-simplify]: Simplify (sqrt 1) into 1
11.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.106 * [backup-simplify]: Simplify (+ 0 0) into 0
11.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.107 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.107 * [taylor]: Taking taylor expansion of re in re
11.107 * [backup-simplify]: Simplify 0 into 0
11.107 * [backup-simplify]: Simplify 1 into 1
11.107 * [backup-simplify]: Simplify (* 1 1) into 1
11.108 * [backup-simplify]: Simplify (/ 1 1) into 1
11.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.108 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.108 * [taylor]: Taking taylor expansion of im in re
11.108 * [backup-simplify]: Simplify im into im
11.108 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.109 * [backup-simplify]: Simplify (+ 1 0) into 1
11.109 * [backup-simplify]: Simplify (sqrt 1) into 1
11.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.111 * [backup-simplify]: Simplify (+ 0 0) into 0
11.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.112 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.112 * [taylor]: Taking taylor expansion of re in re
11.112 * [backup-simplify]: Simplify 0 into 0
11.112 * [backup-simplify]: Simplify 1 into 1
11.112 * [backup-simplify]: Simplify (* 1 1) into 1
11.113 * [backup-simplify]: Simplify (/ 1 1) into 1
11.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.113 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.113 * [taylor]: Taking taylor expansion of im in re
11.113 * [backup-simplify]: Simplify im into im
11.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.113 * [backup-simplify]: Simplify (+ 1 0) into 1
11.114 * [backup-simplify]: Simplify (sqrt 1) into 1
11.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.116 * [backup-simplify]: Simplify (+ 0 0) into 0
11.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.116 * [taylor]: Taking taylor expansion of 1 in im
11.117 * [backup-simplify]: Simplify 1 into 1
11.117 * [taylor]: Taking taylor expansion of 0 in im
11.117 * [backup-simplify]: Simplify 0 into 0
11.117 * [backup-simplify]: Simplify 1 into 1
11.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.120 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.120 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.120 * [taylor]: Taking taylor expansion of 1/2 in im
11.120 * [backup-simplify]: Simplify 1/2 into 1/2
11.120 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.120 * [taylor]: Taking taylor expansion of im in im
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify 1 into 1
11.121 * [backup-simplify]: Simplify (* 1 1) into 1
11.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.123 * [backup-simplify]: Simplify 0 into 0
11.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.125 * [backup-simplify]: Simplify (+ 0 0) into 0
11.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.126 * [taylor]: Taking taylor expansion of 0 in im
11.126 * [backup-simplify]: Simplify 0 into 0
11.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.128 * [backup-simplify]: Simplify 0 into 0
11.128 * [backup-simplify]: Simplify 0 into 0
11.128 * [backup-simplify]: Simplify 0 into 0
11.128 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
11.129 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.129 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.129 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.129 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.129 * [taylor]: Taking taylor expansion of im in im
11.129 * [backup-simplify]: Simplify 0 into 0
11.129 * [backup-simplify]: Simplify 1 into 1
11.129 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.129 * [taylor]: Taking taylor expansion of re in im
11.129 * [backup-simplify]: Simplify re into re
11.129 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.129 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.130 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.130 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.130 * [backup-simplify]: Simplify (+ 0 0) into 0
11.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.131 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.131 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.131 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.131 * [taylor]: Taking taylor expansion of im in re
11.131 * [backup-simplify]: Simplify im into im
11.131 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.131 * [taylor]: Taking taylor expansion of re in re
11.131 * [backup-simplify]: Simplify 0 into 0
11.131 * [backup-simplify]: Simplify 1 into 1
11.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.131 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.132 * [backup-simplify]: Simplify (+ 0 0) into 0
11.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.132 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.132 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.132 * [taylor]: Taking taylor expansion of im in re
11.132 * [backup-simplify]: Simplify im into im
11.132 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.132 * [taylor]: Taking taylor expansion of re in re
11.132 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify 1 into 1
11.132 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.132 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.132 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.133 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.133 * [backup-simplify]: Simplify (+ 0 0) into 0
11.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.133 * [taylor]: Taking taylor expansion of im in im
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify 1 into 1
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [taylor]: Taking taylor expansion of 0 in im
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify 1 into 1
11.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.134 * [backup-simplify]: Simplify (* 1 1) into 1
11.135 * [backup-simplify]: Simplify (+ 0 1) into 1
11.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.136 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.136 * [taylor]: Taking taylor expansion of 1/2 in im
11.136 * [backup-simplify]: Simplify 1/2 into 1/2
11.136 * [taylor]: Taking taylor expansion of im in im
11.136 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify 1 into 1
11.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [backup-simplify]: Simplify 0 into 0
11.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.139 * [backup-simplify]: Simplify (+ 0 0) into 0
11.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.139 * [taylor]: Taking taylor expansion of 0 in im
11.139 * [backup-simplify]: Simplify 0 into 0
11.139 * [backup-simplify]: Simplify 0 into 0
11.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.140 * [backup-simplify]: Simplify 0 into 0
11.140 * [backup-simplify]: Simplify 0 into 0
11.140 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.141 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.141 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.141 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.141 * [taylor]: Taking taylor expansion of re in im
11.141 * [backup-simplify]: Simplify re into re
11.141 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.141 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.141 * [taylor]: Taking taylor expansion of im in im
11.141 * [backup-simplify]: Simplify 0 into 0
11.141 * [backup-simplify]: Simplify 1 into 1
11.142 * [backup-simplify]: Simplify (* 1 1) into 1
11.142 * [backup-simplify]: Simplify (/ 1 1) into 1
11.142 * [backup-simplify]: Simplify (+ 0 1) into 1
11.143 * [backup-simplify]: Simplify (sqrt 1) into 1
11.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.145 * [backup-simplify]: Simplify (+ 0 0) into 0
11.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.146 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.146 * [taylor]: Taking taylor expansion of re in re
11.146 * [backup-simplify]: Simplify 0 into 0
11.146 * [backup-simplify]: Simplify 1 into 1
11.146 * [backup-simplify]: Simplify (* 1 1) into 1
11.146 * [backup-simplify]: Simplify (/ 1 1) into 1
11.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.146 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.146 * [taylor]: Taking taylor expansion of im in re
11.147 * [backup-simplify]: Simplify im into im
11.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.147 * [backup-simplify]: Simplify (+ 1 0) into 1
11.148 * [backup-simplify]: Simplify (sqrt 1) into 1
11.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.149 * [backup-simplify]: Simplify (+ 0 0) into 0
11.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.150 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.150 * [taylor]: Taking taylor expansion of re in re
11.150 * [backup-simplify]: Simplify 0 into 0
11.150 * [backup-simplify]: Simplify 1 into 1
11.151 * [backup-simplify]: Simplify (* 1 1) into 1
11.151 * [backup-simplify]: Simplify (/ 1 1) into 1
11.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.151 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.151 * [taylor]: Taking taylor expansion of im in re
11.151 * [backup-simplify]: Simplify im into im
11.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.152 * [backup-simplify]: Simplify (+ 1 0) into 1
11.152 * [backup-simplify]: Simplify (sqrt 1) into 1
11.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.154 * [backup-simplify]: Simplify (+ 0 0) into 0
11.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.155 * [taylor]: Taking taylor expansion of 1 in im
11.155 * [backup-simplify]: Simplify 1 into 1
11.155 * [taylor]: Taking taylor expansion of 0 in im
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [backup-simplify]: Simplify 1 into 1
11.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.159 * [taylor]: Taking taylor expansion of 1/2 in im
11.159 * [backup-simplify]: Simplify 1/2 into 1/2
11.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.159 * [taylor]: Taking taylor expansion of im in im
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify 1 into 1
11.159 * [backup-simplify]: Simplify (* 1 1) into 1
11.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.161 * [backup-simplify]: Simplify 0 into 0
11.161 * [backup-simplify]: Simplify 0 into 0
11.161 * [backup-simplify]: Simplify 0 into 0
11.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.164 * [backup-simplify]: Simplify (+ 0 0) into 0
11.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.165 * [taylor]: Taking taylor expansion of 0 in im
11.165 * [backup-simplify]: Simplify 0 into 0
11.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.167 * [backup-simplify]: Simplify 0 into 0
11.167 * [backup-simplify]: Simplify 0 into 0
11.167 * [backup-simplify]: Simplify 0 into 0
11.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.168 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.168 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.168 * [taylor]: Taking taylor expansion of re in im
11.168 * [backup-simplify]: Simplify re into re
11.168 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.168 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.168 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.168 * [taylor]: Taking taylor expansion of im in im
11.168 * [backup-simplify]: Simplify 0 into 0
11.168 * [backup-simplify]: Simplify 1 into 1
11.169 * [backup-simplify]: Simplify (* 1 1) into 1
11.169 * [backup-simplify]: Simplify (/ 1 1) into 1
11.170 * [backup-simplify]: Simplify (+ 0 1) into 1
11.170 * [backup-simplify]: Simplify (sqrt 1) into 1
11.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.172 * [backup-simplify]: Simplify (+ 0 0) into 0
11.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.173 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.173 * [taylor]: Taking taylor expansion of re in re
11.173 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify 1 into 1
11.173 * [backup-simplify]: Simplify (* 1 1) into 1
11.173 * [backup-simplify]: Simplify (/ 1 1) into 1
11.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.174 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.174 * [taylor]: Taking taylor expansion of im in re
11.174 * [backup-simplify]: Simplify im into im
11.174 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.174 * [backup-simplify]: Simplify (+ 1 0) into 1
11.175 * [backup-simplify]: Simplify (sqrt 1) into 1
11.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.177 * [backup-simplify]: Simplify (+ 0 0) into 0
11.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.177 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.177 * [taylor]: Taking taylor expansion of re in re
11.178 * [backup-simplify]: Simplify 0 into 0
11.178 * [backup-simplify]: Simplify 1 into 1
11.178 * [backup-simplify]: Simplify (* 1 1) into 1
11.178 * [backup-simplify]: Simplify (/ 1 1) into 1
11.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.178 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.178 * [taylor]: Taking taylor expansion of im in re
11.179 * [backup-simplify]: Simplify im into im
11.179 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.179 * [backup-simplify]: Simplify (+ 1 0) into 1
11.180 * [backup-simplify]: Simplify (sqrt 1) into 1
11.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.182 * [backup-simplify]: Simplify (+ 0 0) into 0
11.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.183 * [taylor]: Taking taylor expansion of 1 in im
11.183 * [backup-simplify]: Simplify 1 into 1
11.183 * [taylor]: Taking taylor expansion of 0 in im
11.183 * [backup-simplify]: Simplify 0 into 0
11.183 * [backup-simplify]: Simplify 1 into 1
11.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.185 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.187 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.187 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.187 * [taylor]: Taking taylor expansion of 1/2 in im
11.187 * [backup-simplify]: Simplify 1/2 into 1/2
11.187 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.187 * [taylor]: Taking taylor expansion of im in im
11.187 * [backup-simplify]: Simplify 0 into 0
11.187 * [backup-simplify]: Simplify 1 into 1
11.187 * [backup-simplify]: Simplify (* 1 1) into 1
11.188 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.189 * [backup-simplify]: Simplify 0 into 0
11.189 * [backup-simplify]: Simplify 0 into 0
11.189 * [backup-simplify]: Simplify 0 into 0
11.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.192 * [backup-simplify]: Simplify (+ 0 0) into 0
11.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.193 * [taylor]: Taking taylor expansion of 0 in im
11.193 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.195 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.195 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
11.195 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.195 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.195 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.196 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.196 * [taylor]: Taking taylor expansion of im in im
11.196 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify 1 into 1
11.196 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.196 * [taylor]: Taking taylor expansion of re in im
11.196 * [backup-simplify]: Simplify re into re
11.196 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.196 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.196 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.196 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.197 * [backup-simplify]: Simplify (+ 0 0) into 0
11.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.197 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.197 * [taylor]: Taking taylor expansion of im in re
11.197 * [backup-simplify]: Simplify im into im
11.197 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.197 * [taylor]: Taking taylor expansion of re in re
11.197 * [backup-simplify]: Simplify 0 into 0
11.197 * [backup-simplify]: Simplify 1 into 1
11.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.197 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.198 * [backup-simplify]: Simplify (+ 0 0) into 0
11.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.198 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.198 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.198 * [taylor]: Taking taylor expansion of im in re
11.198 * [backup-simplify]: Simplify im into im
11.198 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.198 * [taylor]: Taking taylor expansion of re in re
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify 1 into 1
11.198 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.199 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.199 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.199 * [backup-simplify]: Simplify (+ 0 0) into 0
11.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.199 * [taylor]: Taking taylor expansion of im in im
11.199 * [backup-simplify]: Simplify 0 into 0
11.200 * [backup-simplify]: Simplify 1 into 1
11.200 * [backup-simplify]: Simplify 0 into 0
11.200 * [taylor]: Taking taylor expansion of 0 in im
11.200 * [backup-simplify]: Simplify 0 into 0
11.200 * [backup-simplify]: Simplify 0 into 0
11.200 * [backup-simplify]: Simplify 1 into 1
11.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.201 * [backup-simplify]: Simplify (* 1 1) into 1
11.201 * [backup-simplify]: Simplify (+ 0 1) into 1
11.202 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.202 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.202 * [taylor]: Taking taylor expansion of 1/2 in im
11.202 * [backup-simplify]: Simplify 1/2 into 1/2
11.202 * [taylor]: Taking taylor expansion of im in im
11.202 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify 1 into 1
11.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.204 * [backup-simplify]: Simplify 0 into 0
11.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.205 * [backup-simplify]: Simplify (+ 0 0) into 0
11.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.206 * [taylor]: Taking taylor expansion of 0 in im
11.206 * [backup-simplify]: Simplify 0 into 0
11.206 * [backup-simplify]: Simplify 0 into 0
11.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.207 * [backup-simplify]: Simplify 0 into 0
11.207 * [backup-simplify]: Simplify 0 into 0
11.207 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.207 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.207 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.207 * [taylor]: Taking taylor expansion of re in im
11.208 * [backup-simplify]: Simplify re into re
11.208 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.208 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.208 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.208 * [taylor]: Taking taylor expansion of im in im
11.208 * [backup-simplify]: Simplify 0 into 0
11.208 * [backup-simplify]: Simplify 1 into 1
11.208 * [backup-simplify]: Simplify (* 1 1) into 1
11.209 * [backup-simplify]: Simplify (/ 1 1) into 1
11.209 * [backup-simplify]: Simplify (+ 0 1) into 1
11.210 * [backup-simplify]: Simplify (sqrt 1) into 1
11.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.211 * [backup-simplify]: Simplify (+ 0 0) into 0
11.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.212 * [taylor]: Taking taylor expansion of re in re
11.212 * [backup-simplify]: Simplify 0 into 0
11.212 * [backup-simplify]: Simplify 1 into 1
11.213 * [backup-simplify]: Simplify (* 1 1) into 1
11.213 * [backup-simplify]: Simplify (/ 1 1) into 1
11.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.213 * [taylor]: Taking taylor expansion of im in re
11.213 * [backup-simplify]: Simplify im into im
11.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.214 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.214 * [backup-simplify]: Simplify (+ 1 0) into 1
11.214 * [backup-simplify]: Simplify (sqrt 1) into 1
11.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.216 * [backup-simplify]: Simplify (+ 0 0) into 0
11.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.217 * [taylor]: Taking taylor expansion of re in re
11.217 * [backup-simplify]: Simplify 0 into 0
11.217 * [backup-simplify]: Simplify 1 into 1
11.217 * [backup-simplify]: Simplify (* 1 1) into 1
11.218 * [backup-simplify]: Simplify (/ 1 1) into 1
11.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.218 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.218 * [taylor]: Taking taylor expansion of im in re
11.218 * [backup-simplify]: Simplify im into im
11.218 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.219 * [backup-simplify]: Simplify (+ 1 0) into 1
11.219 * [backup-simplify]: Simplify (sqrt 1) into 1
11.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.221 * [backup-simplify]: Simplify (+ 0 0) into 0
11.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.222 * [taylor]: Taking taylor expansion of 1 in im
11.222 * [backup-simplify]: Simplify 1 into 1
11.222 * [taylor]: Taking taylor expansion of 0 in im
11.222 * [backup-simplify]: Simplify 0 into 0
11.222 * [backup-simplify]: Simplify 1 into 1
11.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.225 * [taylor]: Taking taylor expansion of 1/2 in im
11.225 * [backup-simplify]: Simplify 1/2 into 1/2
11.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.226 * [taylor]: Taking taylor expansion of im in im
11.226 * [backup-simplify]: Simplify 0 into 0
11.226 * [backup-simplify]: Simplify 1 into 1
11.226 * [backup-simplify]: Simplify (* 1 1) into 1
11.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.228 * [backup-simplify]: Simplify 0 into 0
11.228 * [backup-simplify]: Simplify 0 into 0
11.228 * [backup-simplify]: Simplify 0 into 0
11.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.231 * [backup-simplify]: Simplify (+ 0 0) into 0
11.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.232 * [taylor]: Taking taylor expansion of 0 in im
11.232 * [backup-simplify]: Simplify 0 into 0
11.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.235 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.235 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.235 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.235 * [taylor]: Taking taylor expansion of re in im
11.235 * [backup-simplify]: Simplify re into re
11.235 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.235 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.235 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.235 * [taylor]: Taking taylor expansion of im in im
11.235 * [backup-simplify]: Simplify 0 into 0
11.235 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify (* 1 1) into 1
11.236 * [backup-simplify]: Simplify (/ 1 1) into 1
11.236 * [backup-simplify]: Simplify (+ 0 1) into 1
11.237 * [backup-simplify]: Simplify (sqrt 1) into 1
11.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.239 * [backup-simplify]: Simplify (+ 0 0) into 0
11.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.239 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.240 * [taylor]: Taking taylor expansion of re in re
11.240 * [backup-simplify]: Simplify 0 into 0
11.240 * [backup-simplify]: Simplify 1 into 1
11.240 * [backup-simplify]: Simplify (* 1 1) into 1
11.240 * [backup-simplify]: Simplify (/ 1 1) into 1
11.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.241 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.241 * [taylor]: Taking taylor expansion of im in re
11.241 * [backup-simplify]: Simplify im into im
11.241 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.241 * [backup-simplify]: Simplify (+ 1 0) into 1
11.242 * [backup-simplify]: Simplify (sqrt 1) into 1
11.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.244 * [backup-simplify]: Simplify (+ 0 0) into 0
11.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.244 * [taylor]: Taking taylor expansion of re in re
11.245 * [backup-simplify]: Simplify 0 into 0
11.245 * [backup-simplify]: Simplify 1 into 1
11.245 * [backup-simplify]: Simplify (* 1 1) into 1
11.245 * [backup-simplify]: Simplify (/ 1 1) into 1
11.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.245 * [taylor]: Taking taylor expansion of im in re
11.245 * [backup-simplify]: Simplify im into im
11.246 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.246 * [backup-simplify]: Simplify (+ 1 0) into 1
11.247 * [backup-simplify]: Simplify (sqrt 1) into 1
11.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.253 * [backup-simplify]: Simplify (+ 0 0) into 0
11.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.254 * [taylor]: Taking taylor expansion of 1 in im
11.254 * [backup-simplify]: Simplify 1 into 1
11.254 * [taylor]: Taking taylor expansion of 0 in im
11.254 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify 1 into 1
11.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.257 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.258 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.258 * [taylor]: Taking taylor expansion of 1/2 in im
11.258 * [backup-simplify]: Simplify 1/2 into 1/2
11.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.258 * [taylor]: Taking taylor expansion of im in im
11.258 * [backup-simplify]: Simplify 0 into 0
11.258 * [backup-simplify]: Simplify 1 into 1
11.258 * [backup-simplify]: Simplify (* 1 1) into 1
11.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.260 * [backup-simplify]: Simplify 0 into 0
11.261 * [backup-simplify]: Simplify 0 into 0
11.261 * [backup-simplify]: Simplify 0 into 0
11.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.264 * [backup-simplify]: Simplify (+ 0 0) into 0
11.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.264 * [taylor]: Taking taylor expansion of 0 in im
11.264 * [backup-simplify]: Simplify 0 into 0
11.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.266 * [backup-simplify]: Simplify 0 into 0
11.266 * [backup-simplify]: Simplify 0 into 0
11.266 * [backup-simplify]: Simplify 0 into 0
11.267 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.267 * * * [progress]: simplifying candidates
11.269 * [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)
11.270 * * [simplify]: iteration 0: 38 enodes
11.286 * * [simplify]: iteration 1: 91 enodes
11.324 * * [simplify]: iteration 2: 195 enodes
11.422 * * [simplify]: iteration 3: 429 enodes
11.643 * * [simplify]: iteration 4: 992 enodes
12.452 * * [simplify]: iteration 5: 3274 enodes
13.678 * * [simplify]: iteration complete: 5001 enodes
13.678 * * [simplify]: Extracting #0: cost 18 inf + 0
13.678 * * [simplify]: Extracting #1: cost 36 inf + 4
13.679 * * [simplify]: Extracting #2: cost 198 inf + 49
13.682 * * [simplify]: Extracting #3: cost 844 inf + 9394
13.703 * * [simplify]: Extracting #4: cost 709 inf + 109362
13.770 * * [simplify]: Extracting #5: cost 361 inf + 200387
13.842 * * [simplify]: Extracting #6: cost 181 inf + 287241
13.924 * * [simplify]: Extracting #7: cost 70 inf + 354319
13.987 * * [simplify]: Extracting #8: cost 19 inf + 368136
14.059 * * [simplify]: Extracting #9: cost 0 inf + 373703
14.136 * [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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im 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)
14.166 * * * [progress]: adding candidates to table
14.794 * [progress]: [Phase 3 of 3] Extracting.
14.794 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
14.795 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
14.795 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
14.855 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
14.905 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
15.041 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
15.157 * * * [regime]: Found split indices: #<option (#s(si 3 96) #s(si 5 125) #s(si 0 148) #s(si 5 152) #s(si 2 209) #s(si 4 255))>
15.158 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
15.580 * [regimes]: Found splitpoints: (#s(sp 3 im -9.439166578523512e-151) #s(sp 5 im -4.032427712052754e-269) #s(sp 0 im 3.87842665094286e-204) #s(sp 5 im 1.7188715849926042e-165) #s(sp 2 im 1.37255374618474e+91) #s(sp 4 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<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 (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))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>)
15.580 * [simplify]: Simplifying:
  (if (<= im -9.439166578523512e-151) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= im -4.032427712052754e-269) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 3.87842665094286e-204) (* 0.5 (sqrt 0)) (if (<= im 1.7188715849926042e-165) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 1.37255374618474e+91) (* 0.5 (sqrt (* 2.0 (+ (* (* (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))))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re im)))))))))
15.580 * * [simplify]: iteration 0: 47 enodes
15.583 * * [simplify]: iteration 1: 59 enodes
15.586 * * [simplify]: iteration complete: 59 enodes
15.586 * * [simplify]: Extracting #0: cost 1 inf + 0
15.586 * * [simplify]: Extracting #1: cost 4 inf + 0
15.586 * * [simplify]: Extracting #2: cost 11 inf + 0
15.586 * * [simplify]: Extracting #3: cost 14 inf + 3
15.586 * * [simplify]: Extracting #4: cost 17 inf + 72
15.586 * * [simplify]: Extracting #5: cost 23 inf + 207
15.586 * * [simplify]: Extracting #6: cost 22 inf + 252
15.586 * * [simplify]: Extracting #7: cost 21 inf + 444
15.586 * * [simplify]: Extracting #8: cost 18 inf + 879
15.587 * * [simplify]: Extracting #9: cost 13 inf + 1974
15.587 * * [simplify]: Extracting #10: cost 11 inf + 2625
15.587 * * [simplify]: Extracting #11: cost 12 inf + 2625
15.588 * * [simplify]: Extracting #12: cost 13 inf + 2625
15.588 * * [simplify]: Extracting #13: cost 12 inf + 2827
15.589 * * [simplify]: Extracting #14: cost 10 inf + 3351
15.589 * * [simplify]: Extracting #15: cost 7 inf + 4438
15.591 * * [simplify]: Extracting #16: cost 3 inf + 7167
15.593 * * [simplify]: Extracting #17: cost 0 inf + 11237
15.594 * [simplify]: Simplified to:
  (if (<= im -9.439166578523512e-151) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= im -4.032427712052754e-269) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 3.87842665094286e-204) 0 (if (<= im 1.7188715849926042e-165) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 1.37255374618474e+91) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))) re)))) (* (sqrt (* (+ im re) 2.0)) 0.5))))))
18.733 * [regime-testing]: Baseline error score: 38.57180229511743
18.749 * [regime-testing]: Oracle error score: 17.518514293451844
18.770 * [regime-testing]: End program error score: 31.110675614832385
18.942 * [regime-testing]: Target error score: 32.65113667624059