34.605 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.055 * * * [progress]: [2/2] Setting up program.
0.063 * [progress]: [Phase 2 of 3] Improving.
0.064 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.064 * * [simplify]: iteration 0: 12 enodes
0.067 * * [simplify]: iteration 1: 22 enodes
0.074 * * [simplify]: iteration 2: 24 enodes
0.080 * * [simplify]: iteration complete: 24 enodes
0.080 * * [simplify]: Extracting #0: cost 1 inf + 0
0.080 * * [simplify]: Extracting #1: cost 3 inf + 0
0.080 * * [simplify]: Extracting #2: cost 3 inf + 1
0.080 * * [simplify]: Extracting #3: cost 7 inf + 1
0.080 * * [simplify]: Extracting #4: cost 8 inf + 2
0.080 * * [simplify]: Extracting #5: cost 8 inf + 3
0.081 * * [simplify]: Extracting #6: cost 9 inf + 45
0.081 * * [simplify]: Extracting #7: cost 9 inf + 86
0.081 * * [simplify]: Extracting #8: cost 7 inf + 128
0.081 * * [simplify]: Extracting #9: cost 5 inf + 412
0.081 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.082 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.083 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.084 * * [progress]: iteration 1 / 4
0.084 * * * [progress]: picking best candidate
0.109 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.109 * * * [progress]: localizing error
0.155 * * * [progress]: generating rewritten candidates
0.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.205 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.213 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.246 * * * [progress]: generating series expansions
0.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.246 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.246 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.246 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
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
0.246 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.246 * [taylor]: Taking taylor expansion of re in im
0.246 * [backup-simplify]: Simplify re into re
0.246 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.246 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.246 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.246 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.247 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.247 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.247 * [taylor]: Taking taylor expansion of im in re
0.247 * [backup-simplify]: Simplify im into im
0.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.247 * [taylor]: Taking taylor expansion of re in re
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.247 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.247 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.247 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.248 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.248 * [taylor]: Taking taylor expansion of im in re
0.248 * [backup-simplify]: Simplify im into im
0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.248 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.248 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.249 * [taylor]: Taking taylor expansion of im in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [taylor]: Taking taylor expansion of 0 in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.249 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (+ 0 1) into 1
0.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.250 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.250 * [taylor]: Taking taylor expansion of 1/2 in im
0.250 * [backup-simplify]: Simplify 1/2 into 1/2
0.250 * [taylor]: Taking taylor expansion of im in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0
0.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.252 * [taylor]: Taking taylor expansion of 0 in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.253 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.253 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.253 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.253 * [taylor]: Taking taylor expansion of re in im
0.253 * [backup-simplify]: Simplify re into re
0.253 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.254 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.254 * [taylor]: Taking taylor expansion of im in im
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [backup-simplify]: Simplify (+ 0 1) into 1
0.255 * [backup-simplify]: Simplify (sqrt 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.257 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.257 * [taylor]: Taking taylor expansion of im in re
0.257 * [backup-simplify]: Simplify im into im
0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.257 * [backup-simplify]: Simplify (+ 1 0) into 1
0.257 * [backup-simplify]: Simplify (sqrt 1) into 1
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.259 * [taylor]: Taking taylor expansion of re in re
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.260 * [taylor]: Taking taylor expansion of im in re
0.260 * [backup-simplify]: Simplify im into im
0.260 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.260 * [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
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.262 * [taylor]: Taking taylor expansion of 1 in im
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of 0 in im
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.264 * [taylor]: Taking taylor expansion of 1/2 in im
0.264 * [backup-simplify]: Simplify 1/2 into 1/2
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.264 * [taylor]: Taking taylor expansion of im in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.270 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.270 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.270 * [taylor]: Taking taylor expansion of re in im
0.270 * [backup-simplify]: Simplify re into re
0.270 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ 0 1) into 1
0.272 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.275 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.275 * [taylor]: Taking taylor expansion of re in re
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.276 * [taylor]: Taking taylor expansion of im in re
0.276 * [backup-simplify]: Simplify im into im
0.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.276 * [backup-simplify]: Simplify (+ 1 0) into 1
0.277 * [backup-simplify]: Simplify (sqrt 1) into 1
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (sqrt 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.284 * [taylor]: Taking taylor expansion of 1 in im
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of 0 in im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.287 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.287 * [taylor]: Taking taylor expansion of 1/2 in im
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.287 * [taylor]: Taking taylor expansion of im in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in im
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.296 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.296 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.296 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.296 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.296 * [taylor]: Taking taylor expansion of re in im
0.296 * [backup-simplify]: Simplify re into re
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.296 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.296 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.296 * [taylor]: Taking taylor expansion of im in im
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.296 * [taylor]: Taking taylor expansion of re in im
0.296 * [backup-simplify]: Simplify re into re
0.296 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.297 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.297 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.297 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.297 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.297 * [taylor]: Taking taylor expansion of re in re
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.297 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.298 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.298 * [taylor]: Taking taylor expansion of im in re
0.298 * [backup-simplify]: Simplify im into im
0.298 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.298 * [taylor]: Taking taylor expansion of re in re
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.298 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.298 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.298 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.299 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.299 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.299 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.299 * [taylor]: Taking taylor expansion of im in re
0.299 * [backup-simplify]: Simplify im into im
0.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.299 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.299 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.299 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 im) into im
0.300 * [taylor]: Taking taylor expansion of im in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ 1 0) into 1
0.300 * [taylor]: Taking taylor expansion of 1 in im
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (+ 0 1) into 1
0.302 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.302 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.302 * [taylor]: Taking taylor expansion of 1/2 in im
0.302 * [backup-simplify]: Simplify 1/2 into 1/2
0.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.302 * [taylor]: Taking taylor expansion of im in im
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.306 * [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)))))
0.306 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.306 * [taylor]: Taking taylor expansion of re in im
0.306 * [backup-simplify]: Simplify re into re
0.306 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.306 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.306 * [taylor]: Taking taylor expansion of re in im
0.306 * [backup-simplify]: Simplify re into re
0.306 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.307 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.307 * [taylor]: Taking taylor expansion of im in im
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [backup-simplify]: Simplify (+ 0 1) into 1
0.308 * [backup-simplify]: Simplify (sqrt 1) into 1
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.309 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.310 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.310 * [taylor]: Taking taylor expansion of re in re
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.310 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.310 * [taylor]: Taking taylor expansion of im in re
0.310 * [backup-simplify]: Simplify im into im
0.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.311 * [backup-simplify]: Simplify (+ 1 0) into 1
0.311 * [backup-simplify]: Simplify (sqrt 1) into 1
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.313 * [taylor]: Taking taylor expansion of re in re
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.313 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.313 * [taylor]: Taking taylor expansion of re in re
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.314 * [taylor]: Taking taylor expansion of im in re
0.314 * [backup-simplify]: Simplify im into im
0.314 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.314 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.314 * [backup-simplify]: Simplify (+ 1 0) into 1
0.315 * [backup-simplify]: Simplify (sqrt 1) into 1
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.317 * [backup-simplify]: Simplify (+ 1 1) into 2
0.317 * [taylor]: Taking taylor expansion of 2 in im
0.317 * [backup-simplify]: Simplify 2 into 2
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in im
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 2 into 2
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.320 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.320 * [taylor]: Taking taylor expansion of 1/2 in im
0.320 * [backup-simplify]: Simplify 1/2 into 1/2
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.320 * [taylor]: Taking taylor expansion of im in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [taylor]: Taking taylor expansion of 0 in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.327 * [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))
0.327 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.327 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.327 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.328 * [taylor]: Taking taylor expansion of im in im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 0 1) into 1
0.330 * [backup-simplify]: Simplify (sqrt 1) into 1
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.332 * [taylor]: Taking taylor expansion of re in im
0.333 * [backup-simplify]: Simplify re into re
0.333 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.333 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.333 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.337 * [taylor]: Taking taylor expansion of im in re
0.337 * [backup-simplify]: Simplify im into im
0.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.337 * [backup-simplify]: Simplify (+ 1 0) into 1
0.338 * [backup-simplify]: Simplify (sqrt 1) into 1
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.341 * [taylor]: Taking taylor expansion of re in re
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (* 1 1) into 1
0.342 * [backup-simplify]: Simplify (/ 1 1) into 1
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.342 * [taylor]: Taking taylor expansion of im in re
0.342 * [backup-simplify]: Simplify im into im
0.342 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.342 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.343 * [backup-simplify]: Simplify (+ 1 0) into 1
0.343 * [backup-simplify]: Simplify (sqrt 1) into 1
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.346 * [taylor]: Taking taylor expansion of re in re
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
0.346 * [backup-simplify]: Simplify (- 1) into -1
0.347 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (- 0) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [taylor]: Taking taylor expansion of 0 in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.352 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (- 0) into 0
0.353 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.353 * [taylor]: Taking taylor expansion of 1/2 in im
0.354 * [backup-simplify]: Simplify 1/2 into 1/2
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.354 * [taylor]: Taking taylor expansion of im in im
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1/2 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
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (- 0) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in im
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.366 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.366 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.366 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.366 * [taylor]: Taking taylor expansion of im in im
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.366 * [taylor]: Taking taylor expansion of re in im
0.366 * [backup-simplify]: Simplify re into re
0.366 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.366 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.366 * [taylor]: Taking taylor expansion of im in re
0.366 * [backup-simplify]: Simplify im into im
0.366 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.366 * [taylor]: Taking taylor expansion of re in re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.366 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.366 * [taylor]: Taking taylor expansion of im in re
0.366 * [backup-simplify]: Simplify im into im
0.366 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.366 * [taylor]: Taking taylor expansion of re in re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.367 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.367 * [taylor]: Taking taylor expansion of im in im
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [taylor]: Taking taylor expansion of 0 in im
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (+ 0 1) into 1
0.369 * [taylor]: Taking taylor expansion of 1 in im
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [taylor]: Taking taylor expansion of 0 in im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.374 * [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
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.375 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.375 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.375 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.376 * [taylor]: Taking taylor expansion of re in im
0.376 * [backup-simplify]: Simplify re into re
0.376 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.376 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.376 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.376 * [taylor]: Taking taylor expansion of im in im
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.377 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.377 * [taylor]: Taking taylor expansion of re in re
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.378 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.378 * [taylor]: Taking taylor expansion of im in re
0.378 * [backup-simplify]: Simplify im into im
0.378 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.378 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.378 * [taylor]: Taking taylor expansion of re in re
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.379 * [taylor]: Taking taylor expansion of im in re
0.379 * [backup-simplify]: Simplify im into im
0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.380 * [backup-simplify]: Simplify (+ 1 0) into 1
0.380 * [taylor]: Taking taylor expansion of 1 in im
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.382 * [taylor]: Taking taylor expansion of 0 in im
0.382 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.384 * [taylor]: Taking taylor expansion of im in im
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) 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
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) 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
0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.395 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.395 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.396 * [taylor]: Taking taylor expansion of re in im
0.396 * [backup-simplify]: Simplify re into re
0.396 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.396 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.396 * [taylor]: Taking taylor expansion of im in im
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.397 * [backup-simplify]: Simplify (/ 1 1) into 1
0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.397 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.397 * [taylor]: Taking taylor expansion of re in re
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (/ 1 1) into 1
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.398 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.398 * [taylor]: Taking taylor expansion of im in re
0.398 * [backup-simplify]: Simplify im into im
0.398 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.398 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.398 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.398 * [taylor]: Taking taylor expansion of re in re
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (/ 1 1) into 1
0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.399 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.399 * [taylor]: Taking taylor expansion of im in re
0.399 * [backup-simplify]: Simplify im into im
0.399 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.399 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.400 * [backup-simplify]: Simplify (+ 1 0) into 1
0.400 * [taylor]: Taking taylor expansion of 1 in im
0.400 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [taylor]: Taking taylor expansion of 0 in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) 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
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [taylor]: Taking taylor expansion of 0 in im
0.412 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.414 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.414 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.414 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.414 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.414 * [taylor]: Taking taylor expansion of 2.0 in im
0.414 * [backup-simplify]: Simplify 2.0 into 2.0
0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.415 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.415 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.415 * [taylor]: Taking taylor expansion of re in im
0.415 * [backup-simplify]: Simplify re into re
0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.415 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.415 * [taylor]: Taking taylor expansion of im in im
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.415 * [taylor]: Taking taylor expansion of re in im
0.415 * [backup-simplify]: Simplify re into re
0.415 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.415 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.415 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.416 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.416 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.416 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.416 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.416 * [taylor]: Taking taylor expansion of 2.0 in re
0.416 * [backup-simplify]: Simplify 2.0 into 2.0
0.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.417 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.417 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.417 * [taylor]: Taking taylor expansion of re in re
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 1 into 1
0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.417 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.417 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.417 * [taylor]: Taking taylor expansion of im in re
0.417 * [backup-simplify]: Simplify im into im
0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.417 * [taylor]: Taking taylor expansion of re in re
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 1 into 1
0.417 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.417 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.418 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.418 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.418 * [backup-simplify]: Simplify (+ 0 im) into im
0.418 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.418 * [backup-simplify]: Simplify (+ 1 0) into 1
0.418 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.418 * [taylor]: Taking taylor expansion of 2.0 in re
0.418 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.419 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.419 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.419 * [taylor]: Taking taylor expansion of re in re
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.419 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.419 * [taylor]: Taking taylor expansion of im in re
0.419 * [backup-simplify]: Simplify im into im
0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.419 * [taylor]: Taking taylor expansion of re in re
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.420 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.420 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.420 * [backup-simplify]: Simplify (+ 0 im) into im
0.420 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.420 * [backup-simplify]: Simplify (+ 1 0) into 1
0.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.421 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.421 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.421 * [taylor]: Taking taylor expansion of 2.0 in im
0.421 * [backup-simplify]: Simplify 2.0 into 2.0
0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.422 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.422 * [taylor]: Taking taylor expansion of im in im
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (sqrt 0) into 0
0.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.423 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.424 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.424 * [taylor]: Taking taylor expansion of 1/2 in im
0.424 * [backup-simplify]: Simplify 1/2 into 1/2
0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.424 * [taylor]: Taking taylor expansion of 2.0 in im
0.424 * [backup-simplify]: Simplify 2.0 into 2.0
0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.425 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.425 * [taylor]: Taking taylor expansion of im in im
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 (sqrt 0) into 0
0.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.428 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.431 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.433 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.434 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (+ 0 1) into 1
0.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.435 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.435 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.436 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.436 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.436 * [taylor]: Taking taylor expansion of 1/8 in im
0.436 * [backup-simplify]: Simplify 1/8 into 1/8
0.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.436 * [taylor]: Taking taylor expansion of 2.0 in im
0.436 * [backup-simplify]: Simplify 2.0 into 2.0
0.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.437 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.437 * [taylor]: Taking taylor expansion of im in im
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (/ 1 1) into 1
0.438 * [backup-simplify]: Simplify (sqrt 0) into 0
0.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.448 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.450 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.451 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.456 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.457 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.462 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.463 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.463 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.463 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) 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 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.464 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 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
0.465 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.465 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [backup-simplify]: Simplify (+ 0 1) into 1
0.467 * [backup-simplify]: Simplify (sqrt 1) into 1
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 1) into 1
0.473 * [backup-simplify]: Simplify (sqrt 0) into 0
0.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.474 * [taylor]: Taking taylor expansion of 2.0 in re
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.476 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.476 * [taylor]: Taking taylor expansion of re in re
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.477 * [backup-simplify]: Simplify (/ 1 1) into 1
0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.477 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.477 * [taylor]: Taking taylor expansion of im in re
0.477 * [backup-simplify]: Simplify im into im
0.477 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.478 * [backup-simplify]: Simplify (+ 1 0) into 1
0.478 * [backup-simplify]: Simplify (sqrt 1) into 1
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.481 * [backup-simplify]: Simplify (+ 1 1) into 2
0.481 * [backup-simplify]: Simplify (sqrt 0) into 0
0.482 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.482 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.483 * [taylor]: Taking taylor expansion of 2.0 in re
0.483 * [backup-simplify]: Simplify 2.0 into 2.0
0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.484 * [taylor]: Taking taylor expansion of re in re
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (/ 1 1) into 1
0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.484 * [taylor]: Taking taylor expansion of re in re
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.485 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.485 * [taylor]: Taking taylor expansion of im in re
0.485 * [backup-simplify]: Simplify im into im
0.485 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.486 * [backup-simplify]: Simplify (+ 1 0) into 1
0.486 * [backup-simplify]: Simplify (sqrt 1) into 1
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.489 * [backup-simplify]: Simplify (+ 1 1) into 2
0.489 * [backup-simplify]: Simplify (sqrt 0) into 0
0.491 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.491 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.491 * [taylor]: Taking taylor expansion of 0 in im
0.491 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.493 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.494 * [taylor]: Taking taylor expansion of +nan.0 in im
0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.494 * [taylor]: Taking taylor expansion of 2.0 in im
0.494 * [backup-simplify]: Simplify 2.0 into 2.0
0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.503 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.503 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.503 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.503 * [taylor]: Taking taylor expansion of +nan.0 in im
0.503 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.503 * [taylor]: Taking taylor expansion of 2.0 in im
0.503 * [backup-simplify]: Simplify 2.0 into 2.0
0.504 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.505 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.507 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.509 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.509 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.513 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.514 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.516 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.519 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.519 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.519 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.519 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.519 * [taylor]: Taking taylor expansion of +nan.0 in im
0.519 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.519 * [taylor]: Taking taylor expansion of 2.0 in im
0.519 * [backup-simplify]: Simplify 2.0 into 2.0
0.520 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.520 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.520 * [taylor]: Taking taylor expansion of +nan.0 in im
0.520 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.520 * [taylor]: Taking taylor expansion of 2.0 in im
0.520 * [backup-simplify]: Simplify 2.0 into 2.0
0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.522 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.526 * [backup-simplify]: Simplify (- 0) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (- 0) into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.529 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.530 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.541 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.541 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.542 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.542 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.542 * [taylor]: Taking taylor expansion of +nan.0 in im
0.542 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.542 * [taylor]: Taking taylor expansion of 2.0 in im
0.542 * [backup-simplify]: Simplify 2.0 into 2.0
0.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.543 * [taylor]: Taking taylor expansion of +nan.0 in im
0.543 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.543 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.543 * [taylor]: Taking taylor expansion of 2.0 in im
0.543 * [backup-simplify]: Simplify 2.0 into 2.0
0.543 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.544 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (- 0) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (- 0) into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.555 * [backup-simplify]: Simplify (- 0) into 0
0.556 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.558 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.560 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.565 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.565 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.565 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.565 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.565 * [taylor]: Taking taylor expansion of 2.0 in im
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.567 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.567 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.567 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.567 * [taylor]: Taking taylor expansion of re in im
0.567 * [backup-simplify]: Simplify re into re
0.567 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.567 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.567 * [taylor]: Taking taylor expansion of im in im
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ 1 1) into 1
0.569 * [backup-simplify]: Simplify (+ 0 1) into 1
0.569 * [backup-simplify]: Simplify (sqrt 1) into 1
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.571 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.571 * [taylor]: Taking taylor expansion of re in im
0.571 * [backup-simplify]: Simplify re into re
0.572 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.572 * [backup-simplify]: Simplify (+ 1 0) into 1
0.572 * [backup-simplify]: Simplify (sqrt 0) into 0
0.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.574 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.574 * [taylor]: Taking taylor expansion of 2.0 in re
0.574 * [backup-simplify]: Simplify 2.0 into 2.0
0.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.575 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.575 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.575 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.576 * [taylor]: Taking taylor expansion of re in re
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (* 1 1) into 1
0.576 * [backup-simplify]: Simplify (/ 1 1) into 1
0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.577 * [taylor]: Taking taylor expansion of im in re
0.577 * [backup-simplify]: Simplify im into im
0.577 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.577 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.577 * [backup-simplify]: Simplify (+ 1 0) into 1
0.578 * [backup-simplify]: Simplify (sqrt 1) into 1
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.580 * [taylor]: Taking taylor expansion of re in re
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (/ 1 1) into 1
0.580 * [backup-simplify]: Simplify (- 1) into -1
0.581 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (- 0) into 0
0.582 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.584 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (- 0) into 0
0.585 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.585 * [backup-simplify]: Simplify (sqrt 0) into 0
0.585 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.585 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.585 * [taylor]: Taking taylor expansion of 2.0 in re
0.585 * [backup-simplify]: Simplify 2.0 into 2.0
0.586 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.586 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.586 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.586 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.586 * [taylor]: Taking taylor expansion of re in re
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.587 * [backup-simplify]: Simplify (/ 1 1) into 1
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.587 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.587 * [taylor]: Taking taylor expansion of im in re
0.587 * [backup-simplify]: Simplify im into im
0.587 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.587 * [backup-simplify]: Simplify (+ 1 0) into 1
0.587 * [backup-simplify]: Simplify (sqrt 1) into 1
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.589 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.589 * [taylor]: Taking taylor expansion of re in re
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (/ 1 1) into 1
0.589 * [backup-simplify]: Simplify (- 1) into -1
0.590 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- 0) into 0
0.591 * [backup-simplify]: Simplify (+ 0 0) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.593 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.593 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.594 * [backup-simplify]: Simplify (sqrt 0) into 0
0.594 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.594 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.595 * [taylor]: Taking taylor expansion of 0 in im
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.595 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.595 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.595 * [taylor]: Taking taylor expansion of +nan.0 in im
0.595 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.595 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.595 * [taylor]: Taking taylor expansion of 2.0 in im
0.595 * [backup-simplify]: Simplify 2.0 into 2.0
0.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.596 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.596 * [taylor]: Taking taylor expansion of im in im
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify (* 1 1) into 1
0.597 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.598 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.599 * [backup-simplify]: Simplify (- 0) into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.602 * [backup-simplify]: Simplify (+ 0 0) into 0
0.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (- 0) into 0
0.603 * [backup-simplify]: Simplify (+ 0 0) into 0
0.604 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.605 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.605 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.605 * [taylor]: Taking taylor expansion of +nan.0 in im
0.605 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.605 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.605 * [taylor]: Taking taylor expansion of 2.0 in im
0.605 * [backup-simplify]: Simplify 2.0 into 2.0
0.606 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.606 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.606 * [taylor]: Taking taylor expansion of im in im
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.606 * [backup-simplify]: Simplify (* 1 1) into 1
0.607 * [backup-simplify]: Simplify (* 1 1) into 1
0.607 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.620 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.620 * [backup-simplify]: Simplify (- 0) into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.625 * [backup-simplify]: Simplify (- 0) into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.629 * [backup-simplify]: Simplify (+ 0 0) into 0
0.630 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (- 0) into 0
0.632 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.633 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.636 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.636 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.636 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.636 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.636 * [taylor]: Taking taylor expansion of +nan.0 in im
0.636 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.636 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.636 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.636 * [taylor]: Taking taylor expansion of 2.0 in im
0.636 * [backup-simplify]: Simplify 2.0 into 2.0
0.637 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.637 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.637 * [taylor]: Taking taylor expansion of im in im
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 1 into 1
0.638 * [backup-simplify]: Simplify (* 1 1) into 1
0.638 * [backup-simplify]: Simplify (* 1 1) into 1
0.639 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.639 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.639 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.639 * [taylor]: Taking taylor expansion of +nan.0 in im
0.639 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.639 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.639 * [taylor]: Taking taylor expansion of 2.0 in im
0.639 * [backup-simplify]: Simplify 2.0 into 2.0
0.640 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.640 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.640 * [taylor]: Taking taylor expansion of im in im
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify 1 into 1
0.641 * [backup-simplify]: Simplify (* 1 1) into 1
0.641 * [backup-simplify]: Simplify (* 1 1) into 1
0.641 * [backup-simplify]: Simplify (* 1 1) into 1
0.642 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.684 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.685 * [backup-simplify]: Simplify (- 0) into 0
0.685 * [backup-simplify]: Simplify (+ 0 0) into 0
0.685 * [backup-simplify]: Simplify (- 0) into 0
0.685 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * * * [progress]: simplifying candidates
0.687 * [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))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
0.689 * * [simplify]: iteration 0: 108 enodes
0.721 * * [simplify]: iteration 1: 276 enodes
0.859 * * [simplify]: iteration 2: 807 enodes
1.374 * * [simplify]: iteration 3: 2947 enodes
2.562 * * [simplify]: iteration complete: 5000 enodes
2.562 * * [simplify]: Extracting #0: cost 55 inf + 0
2.562 * * [simplify]: Extracting #1: cost 243 inf + 46
2.577 * * [simplify]: Extracting #2: cost 1177 inf + 4215
2.592 * * [simplify]: Extracting #3: cost 1013 inf + 77613
2.653 * * [simplify]: Extracting #4: cost 224 inf + 205906
2.746 * * [simplify]: Extracting #5: cost 82 inf + 254086
2.839 * * [simplify]: Extracting #6: cost 11 inf + 266210
2.899 * * [simplify]: Extracting #7: cost 0 inf + 269313
2.969 * [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) (- (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re 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))
  (+ (- (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* re re) (* im im)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* re re) (* im im)))
  (* (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) (- (* im im) (* re re))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (* (+ re im) (- re im))
  (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
  (cbrt (sqrt (* (+ (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 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))))
  (sqrt (+ (- (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (- (* (* (sqrt 2.0) +nan.0) (- (* re re) (- im re))))
  (+ (* (- (sqrt 2.0)) +nan.0) (- (* +nan.0 (/ (sqrt 2.0) re)) (/ (* (/ (sqrt 2.0) re) +nan.0) re)))
  0
2.974 * * * [progress]: adding candidates to table
3.420 * * [progress]: iteration 2 / 4
3.420 * * * [progress]: picking best candidate
3.458 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.458 * * * [progress]: localizing error
3.503 * * * [progress]: generating rewritten candidates
3.503 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1)
3.510 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1)
3.522 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2)
3.562 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2)
3.592 * * * [progress]: generating series expansions
3.592 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1)
3.593 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.593 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.593 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.593 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.593 * [taylor]: Taking taylor expansion of im in im
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 1 into 1
3.593 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.593 * [taylor]: Taking taylor expansion of re in im
3.593 * [backup-simplify]: Simplify re into re
3.593 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.593 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.593 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.593 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.594 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.594 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.594 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.594 * [taylor]: Taking taylor expansion of im in re
3.594 * [backup-simplify]: Simplify im into im
3.594 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.594 * [taylor]: Taking taylor expansion of re in re
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.594 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.594 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.594 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.595 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.595 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.595 * [taylor]: Taking taylor expansion of im in re
3.595 * [backup-simplify]: Simplify im into im
3.595 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.595 * [taylor]: Taking taylor expansion of re in re
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify 1 into 1
3.595 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.595 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.595 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.595 * [backup-simplify]: Simplify (+ 0 0) into 0
3.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.595 * [taylor]: Taking taylor expansion of im in im
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify 1 into 1
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [taylor]: Taking taylor expansion of 0 in im
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify 1 into 1
3.596 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.596 * [backup-simplify]: Simplify (* 1 1) into 1
3.596 * [backup-simplify]: Simplify (+ 0 1) into 1
3.597 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.597 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.597 * [taylor]: Taking taylor expansion of 1/2 in im
3.597 * [backup-simplify]: Simplify 1/2 into 1/2
3.597 * [taylor]: Taking taylor expansion of im in im
3.597 * [backup-simplify]: Simplify 0 into 0
3.597 * [backup-simplify]: Simplify 1 into 1
3.597 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.598 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify 0 into 0
3.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.599 * [taylor]: Taking taylor expansion of 0 in im
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.600 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.600 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.600 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.600 * [taylor]: Taking taylor expansion of re in im
3.600 * [backup-simplify]: Simplify re into re
3.600 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.600 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.600 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.600 * [taylor]: Taking taylor expansion of im in im
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 1 into 1
3.601 * [backup-simplify]: Simplify (* 1 1) into 1
3.601 * [backup-simplify]: Simplify (/ 1 1) into 1
3.601 * [backup-simplify]: Simplify (+ 0 1) into 1
3.601 * [backup-simplify]: Simplify (sqrt 1) into 1
3.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.603 * [taylor]: Taking taylor expansion of re in re
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify (* 1 1) into 1
3.603 * [backup-simplify]: Simplify (/ 1 1) into 1
3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.603 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.603 * [taylor]: Taking taylor expansion of im in re
3.603 * [backup-simplify]: Simplify im into im
3.604 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.604 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.604 * [backup-simplify]: Simplify (+ 1 0) into 1
3.604 * [backup-simplify]: Simplify (sqrt 1) into 1
3.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.606 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.606 * [taylor]: Taking taylor expansion of re in re
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.606 * [backup-simplify]: Simplify (* 1 1) into 1
3.606 * [backup-simplify]: Simplify (/ 1 1) into 1
3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.606 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.606 * [taylor]: Taking taylor expansion of im in re
3.606 * [backup-simplify]: Simplify im into im
3.606 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.606 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.607 * [backup-simplify]: Simplify (+ 1 0) into 1
3.607 * [backup-simplify]: Simplify (sqrt 1) into 1
3.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.608 * [backup-simplify]: Simplify (+ 0 0) into 0
3.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.609 * [taylor]: Taking taylor expansion of 1 in im
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [taylor]: Taking taylor expansion of 0 in im
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 1 into 1
3.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.611 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.613 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.613 * [taylor]: Taking taylor expansion of 1/2 in im
3.613 * [backup-simplify]: Simplify 1/2 into 1/2
3.613 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.613 * [taylor]: Taking taylor expansion of im in im
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 1 into 1
3.613 * [backup-simplify]: Simplify (* 1 1) into 1
3.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.619 * [taylor]: Taking taylor expansion of 0 in im
3.619 * [backup-simplify]: Simplify 0 into 0
3.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.621 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.622 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.622 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.622 * [taylor]: Taking taylor expansion of re in im
3.622 * [backup-simplify]: Simplify re into re
3.622 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.622 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.622 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.622 * [taylor]: Taking taylor expansion of im in im
3.622 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify 1 into 1
3.623 * [backup-simplify]: Simplify (* 1 1) into 1
3.623 * [backup-simplify]: Simplify (/ 1 1) into 1
3.623 * [backup-simplify]: Simplify (+ 0 1) into 1
3.624 * [backup-simplify]: Simplify (sqrt 1) into 1
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.625 * [backup-simplify]: Simplify (+ 0 0) into 0
3.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.626 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.626 * [taylor]: Taking taylor expansion of re in re
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 1 into 1
3.627 * [backup-simplify]: Simplify (* 1 1) into 1
3.627 * [backup-simplify]: Simplify (/ 1 1) into 1
3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.627 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.627 * [taylor]: Taking taylor expansion of im in re
3.627 * [backup-simplify]: Simplify im into im
3.627 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.628 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.628 * [backup-simplify]: Simplify (+ 1 0) into 1
3.628 * [backup-simplify]: Simplify (sqrt 1) into 1
3.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (+ 0 0) into 0
3.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.631 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.631 * [taylor]: Taking taylor expansion of re in re
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.632 * [backup-simplify]: Simplify (* 1 1) into 1
3.632 * [backup-simplify]: Simplify (/ 1 1) into 1
3.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.632 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.632 * [taylor]: Taking taylor expansion of im in re
3.632 * [backup-simplify]: Simplify im into im
3.632 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.632 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.633 * [backup-simplify]: Simplify (+ 1 0) into 1
3.633 * [backup-simplify]: Simplify (sqrt 1) into 1
3.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.635 * [backup-simplify]: Simplify (+ 0 0) into 0
3.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.636 * [taylor]: Taking taylor expansion of 1 in im
3.636 * [backup-simplify]: Simplify 1 into 1
3.636 * [taylor]: Taking taylor expansion of 0 in im
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [backup-simplify]: Simplify 1 into 1
3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.638 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.639 * [taylor]: Taking taylor expansion of 1/2 in im
3.639 * [backup-simplify]: Simplify 1/2 into 1/2
3.639 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.639 * [taylor]: Taking taylor expansion of im in im
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (* 1 1) into 1
3.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.645 * [backup-simplify]: Simplify (+ 0 0) into 0
3.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.645 * [taylor]: Taking taylor expansion of 0 in im
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.647 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1)
3.648 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.648 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.648 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.648 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.648 * [taylor]: Taking taylor expansion of im in im
3.648 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify 1 into 1
3.648 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.648 * [taylor]: Taking taylor expansion of re in im
3.648 * [backup-simplify]: Simplify re into re
3.648 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.649 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.649 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.649 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.649 * [backup-simplify]: Simplify (+ 0 0) into 0
3.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.650 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.650 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.650 * [taylor]: Taking taylor expansion of im in re
3.650 * [backup-simplify]: Simplify im into im
3.650 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.650 * [taylor]: Taking taylor expansion of re in re
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.650 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.650 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.651 * [backup-simplify]: Simplify (+ 0 0) into 0
3.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.651 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.651 * [taylor]: Taking taylor expansion of im in re
3.651 * [backup-simplify]: Simplify im into im
3.651 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.651 * [taylor]: Taking taylor expansion of re in re
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.651 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.651 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.652 * [taylor]: Taking taylor expansion of im in im
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [taylor]: Taking taylor expansion of 0 in im
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify 1 into 1
3.653 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.653 * [backup-simplify]: Simplify (* 1 1) into 1
3.654 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.655 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.655 * [taylor]: Taking taylor expansion of 1/2 in im
3.655 * [backup-simplify]: Simplify 1/2 into 1/2
3.655 * [taylor]: Taking taylor expansion of im in im
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 1 into 1
3.655 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.659 * [taylor]: Taking taylor expansion of 0 in im
3.659 * [backup-simplify]: Simplify 0 into 0
3.659 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.660 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.660 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.660 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.660 * [taylor]: Taking taylor expansion of re in im
3.660 * [backup-simplify]: Simplify re into re
3.660 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.661 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.661 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.661 * [taylor]: Taking taylor expansion of im in im
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 1 into 1
3.664 * [backup-simplify]: Simplify (* 1 1) into 1
3.664 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [backup-simplify]: Simplify (+ 0 1) into 1
3.665 * [backup-simplify]: Simplify (sqrt 1) into 1
3.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.667 * [backup-simplify]: Simplify (+ 0 0) into 0
3.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.668 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.668 * [taylor]: Taking taylor expansion of re in re
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (* 1 1) into 1
3.669 * [backup-simplify]: Simplify (/ 1 1) into 1
3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.669 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.669 * [taylor]: Taking taylor expansion of im in re
3.669 * [backup-simplify]: Simplify im into im
3.669 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.669 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.669 * [backup-simplify]: Simplify (+ 1 0) into 1
3.670 * [backup-simplify]: Simplify (sqrt 1) into 1
3.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.671 * [backup-simplify]: Simplify (+ 0 0) into 0
3.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.672 * [taylor]: Taking taylor expansion of re in re
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify 1 into 1
3.673 * [backup-simplify]: Simplify (* 1 1) into 1
3.673 * [backup-simplify]: Simplify (/ 1 1) into 1
3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.673 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.673 * [taylor]: Taking taylor expansion of im in re
3.673 * [backup-simplify]: Simplify im into im
3.673 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.673 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.674 * [backup-simplify]: Simplify (+ 1 0) into 1
3.674 * [backup-simplify]: Simplify (sqrt 1) into 1
3.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.676 * [backup-simplify]: Simplify (+ 0 0) into 0
3.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.676 * [taylor]: Taking taylor expansion of 1 in im
3.676 * [backup-simplify]: Simplify 1 into 1
3.676 * [taylor]: Taking taylor expansion of 0 in im
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.679 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.679 * [taylor]: Taking taylor expansion of 1/2 in im
3.679 * [backup-simplify]: Simplify 1/2 into 1/2
3.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.679 * [taylor]: Taking taylor expansion of im in im
3.679 * [backup-simplify]: Simplify 0 into 0
3.679 * [backup-simplify]: Simplify 1 into 1
3.679 * [backup-simplify]: Simplify (* 1 1) into 1
3.680 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.683 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.683 * [backup-simplify]: Simplify (+ 0 0) into 0
3.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.684 * [taylor]: Taking taylor expansion of 0 in im
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.686 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.686 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.686 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.686 * [taylor]: Taking taylor expansion of re in im
3.686 * [backup-simplify]: Simplify re into re
3.686 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.686 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.686 * [taylor]: Taking taylor expansion of im in im
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [backup-simplify]: Simplify (* 1 1) into 1
3.687 * [backup-simplify]: Simplify (/ 1 1) into 1
3.687 * [backup-simplify]: Simplify (+ 0 1) into 1
3.687 * [backup-simplify]: Simplify (sqrt 1) into 1
3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.688 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.689 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.689 * [taylor]: Taking taylor expansion of re in re
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify 1 into 1
3.689 * [backup-simplify]: Simplify (* 1 1) into 1
3.689 * [backup-simplify]: Simplify (/ 1 1) into 1
3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.689 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.689 * [taylor]: Taking taylor expansion of im in re
3.689 * [backup-simplify]: Simplify im into im
3.689 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.690 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.690 * [backup-simplify]: Simplify (+ 1 0) into 1
3.690 * [backup-simplify]: Simplify (sqrt 1) into 1
3.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.691 * [backup-simplify]: Simplify (+ 0 0) into 0
3.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.692 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.692 * [taylor]: Taking taylor expansion of re in re
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 1 into 1
3.692 * [backup-simplify]: Simplify (* 1 1) into 1
3.692 * [backup-simplify]: Simplify (/ 1 1) into 1
3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.692 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.692 * [taylor]: Taking taylor expansion of im in re
3.692 * [backup-simplify]: Simplify im into im
3.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.692 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.693 * [backup-simplify]: Simplify (+ 1 0) into 1
3.693 * [backup-simplify]: Simplify (sqrt 1) into 1
3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.694 * [backup-simplify]: Simplify (+ 0 0) into 0
3.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.695 * [taylor]: Taking taylor expansion of 1 in im
3.695 * [backup-simplify]: Simplify 1 into 1
3.695 * [taylor]: Taking taylor expansion of 0 in im
3.695 * [backup-simplify]: Simplify 0 into 0
3.695 * [backup-simplify]: Simplify 1 into 1
3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.696 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.697 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.697 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.697 * [taylor]: Taking taylor expansion of 1/2 in im
3.697 * [backup-simplify]: Simplify 1/2 into 1/2
3.697 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.697 * [taylor]: Taking taylor expansion of im in im
3.697 * [backup-simplify]: Simplify 0 into 0
3.697 * [backup-simplify]: Simplify 1 into 1
3.697 * [backup-simplify]: Simplify (* 1 1) into 1
3.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.698 * [backup-simplify]: Simplify 0 into 0
3.698 * [backup-simplify]: Simplify 0 into 0
3.698 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.700 * [backup-simplify]: Simplify (+ 0 0) into 0
3.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.701 * [taylor]: Taking taylor expansion of 0 in im
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.702 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2)
3.702 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.702 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.702 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.702 * [taylor]: Taking taylor expansion of re in im
3.702 * [backup-simplify]: Simplify re into re
3.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.702 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.702 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.702 * [taylor]: Taking taylor expansion of im in im
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 1 into 1
3.702 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.702 * [taylor]: Taking taylor expansion of re in im
3.702 * [backup-simplify]: Simplify re into re
3.702 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.703 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.703 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.703 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.703 * [backup-simplify]: Simplify (+ 0 0) into 0
3.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.703 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.703 * [taylor]: Taking taylor expansion of re in re
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 1 into 1
3.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.703 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.703 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.703 * [taylor]: Taking taylor expansion of im in re
3.703 * [backup-simplify]: Simplify im into im
3.703 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.703 * [taylor]: Taking taylor expansion of re in re
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 1 into 1
3.703 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.703 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.704 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.704 * [backup-simplify]: Simplify (+ 0 0) into 0
3.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.704 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.704 * [taylor]: Taking taylor expansion of re in re
3.704 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify 1 into 1
3.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.704 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.704 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.704 * [taylor]: Taking taylor expansion of im in re
3.704 * [backup-simplify]: Simplify im into im
3.704 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.704 * [taylor]: Taking taylor expansion of re in re
3.704 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify 1 into 1
3.704 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.704 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.704 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.705 * [backup-simplify]: Simplify (+ 0 0) into 0
3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.705 * [backup-simplify]: Simplify (+ 0 im) into im
3.705 * [taylor]: Taking taylor expansion of im in im
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify (+ 1 0) into 1
3.705 * [taylor]: Taking taylor expansion of 1 in im
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [backup-simplify]: Simplify 1 into 1
3.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.706 * [backup-simplify]: Simplify (* 1 1) into 1
3.706 * [backup-simplify]: Simplify (+ 0 1) into 1
3.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.707 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.707 * [taylor]: Taking taylor expansion of 1/2 in im
3.707 * [backup-simplify]: Simplify 1/2 into 1/2
3.707 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.707 * [taylor]: Taking taylor expansion of im in im
3.707 * [backup-simplify]: Simplify 0 into 0
3.707 * [backup-simplify]: Simplify 1 into 1
3.707 * [backup-simplify]: Simplify (/ 1 1) into 1
3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 0 into 0
3.709 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.709 * [backup-simplify]: Simplify (+ 0 0) into 0
3.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.710 * [backup-simplify]: Simplify (+ 0 0) into 0
3.710 * [taylor]: Taking taylor expansion of 0 in im
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.711 * [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)))))
3.711 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.711 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.711 * [taylor]: Taking taylor expansion of re in im
3.711 * [backup-simplify]: Simplify re into re
3.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.711 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.711 * [taylor]: Taking taylor expansion of re in im
3.711 * [backup-simplify]: Simplify re into re
3.711 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.711 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.711 * [taylor]: Taking taylor expansion of im in im
3.711 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 1 into 1
3.712 * [backup-simplify]: Simplify (* 1 1) into 1
3.712 * [backup-simplify]: Simplify (/ 1 1) into 1
3.712 * [backup-simplify]: Simplify (+ 0 1) into 1
3.713 * [backup-simplify]: Simplify (sqrt 1) into 1
3.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.714 * [backup-simplify]: Simplify (+ 0 0) into 0
3.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.714 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.714 * [taylor]: Taking taylor expansion of re in re
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify 1 into 1
3.714 * [backup-simplify]: Simplify (/ 1 1) into 1
3.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.714 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.714 * [taylor]: Taking taylor expansion of re in re
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify 1 into 1
3.715 * [backup-simplify]: Simplify (* 1 1) into 1
3.715 * [backup-simplify]: Simplify (/ 1 1) into 1
3.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.715 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.715 * [taylor]: Taking taylor expansion of im in re
3.715 * [backup-simplify]: Simplify im into im
3.715 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.715 * [backup-simplify]: Simplify (+ 1 0) into 1
3.716 * [backup-simplify]: Simplify (sqrt 1) into 1
3.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.717 * [backup-simplify]: Simplify (+ 0 0) into 0
3.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.717 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.717 * [taylor]: Taking taylor expansion of re in re
3.717 * [backup-simplify]: Simplify 0 into 0
3.717 * [backup-simplify]: Simplify 1 into 1
3.718 * [backup-simplify]: Simplify (/ 1 1) into 1
3.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.718 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.718 * [taylor]: Taking taylor expansion of re in re
3.718 * [backup-simplify]: Simplify 0 into 0
3.718 * [backup-simplify]: Simplify 1 into 1
3.718 * [backup-simplify]: Simplify (* 1 1) into 1
3.718 * [backup-simplify]: Simplify (/ 1 1) into 1
3.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.718 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.718 * [taylor]: Taking taylor expansion of im in re
3.718 * [backup-simplify]: Simplify im into im
3.718 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.718 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.719 * [backup-simplify]: Simplify (+ 1 0) into 1
3.719 * [backup-simplify]: Simplify (sqrt 1) into 1
3.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (+ 0 0) into 0
3.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.721 * [backup-simplify]: Simplify (+ 1 1) into 2
3.721 * [taylor]: Taking taylor expansion of 2 in im
3.721 * [backup-simplify]: Simplify 2 into 2
3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.721 * [backup-simplify]: Simplify (+ 0 0) into 0
3.721 * [taylor]: Taking taylor expansion of 0 in im
3.721 * [backup-simplify]: Simplify 0 into 0
3.721 * [backup-simplify]: Simplify 2 into 2
3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.724 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.725 * [taylor]: Taking taylor expansion of 1/2 in im
3.725 * [backup-simplify]: Simplify 1/2 into 1/2
3.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.725 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.725 * [taylor]: Taking taylor expansion of im in im
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (* 1 1) into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.731 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.732 * [backup-simplify]: Simplify (+ 0 0) into 0
3.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.733 * [backup-simplify]: Simplify (+ 0 0) into 0
3.733 * [taylor]: Taking taylor expansion of 0 in im
3.733 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.736 * [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))
3.736 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.736 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.736 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.736 * [taylor]: Taking taylor expansion of re in im
3.736 * [backup-simplify]: Simplify re into re
3.737 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.737 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.737 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.737 * [taylor]: Taking taylor expansion of im in im
3.737 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify 1 into 1
3.737 * [backup-simplify]: Simplify (* 1 1) into 1
3.738 * [backup-simplify]: Simplify (/ 1 1) into 1
3.738 * [backup-simplify]: Simplify (+ 0 1) into 1
3.738 * [backup-simplify]: Simplify (sqrt 1) into 1
3.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.740 * [backup-simplify]: Simplify (+ 0 0) into 0
3.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.741 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.741 * [taylor]: Taking taylor expansion of re in im
3.741 * [backup-simplify]: Simplify re into re
3.741 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.741 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.741 * [taylor]: Taking taylor expansion of re in re
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 1 into 1
3.742 * [backup-simplify]: Simplify (* 1 1) into 1
3.742 * [backup-simplify]: Simplify (/ 1 1) into 1
3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.742 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.742 * [taylor]: Taking taylor expansion of im in re
3.742 * [backup-simplify]: Simplify im into im
3.742 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.742 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.743 * [backup-simplify]: Simplify (+ 1 0) into 1
3.743 * [backup-simplify]: Simplify (sqrt 1) into 1
3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (+ 0 0) into 0
3.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.746 * [taylor]: Taking taylor expansion of re in re
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 1 into 1
3.746 * [backup-simplify]: Simplify (/ 1 1) into 1
3.746 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.746 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.746 * [taylor]: Taking taylor expansion of re in re
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 1 into 1
3.747 * [backup-simplify]: Simplify (* 1 1) into 1
3.747 * [backup-simplify]: Simplify (/ 1 1) into 1
3.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.747 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.747 * [taylor]: Taking taylor expansion of im in re
3.747 * [backup-simplify]: Simplify im into im
3.747 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.748 * [backup-simplify]: Simplify (+ 1 0) into 1
3.748 * [backup-simplify]: Simplify (sqrt 1) into 1
3.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (+ 0 0) into 0
3.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.750 * [taylor]: Taking taylor expansion of re in re
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.751 * [backup-simplify]: Simplify (/ 1 1) into 1
3.751 * [backup-simplify]: Simplify (- 1) into -1
3.752 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.752 * [taylor]: Taking taylor expansion of 0 in im
3.752 * [backup-simplify]: Simplify 0 into 0
3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (- 0) into 0
3.753 * [backup-simplify]: Simplify (+ 0 0) into 0
3.753 * [taylor]: Taking taylor expansion of 0 in im
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.754 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.755 * [backup-simplify]: Simplify (- 0) into 0
3.756 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.756 * [taylor]: Taking taylor expansion of 1/2 in im
3.756 * [backup-simplify]: Simplify 1/2 into 1/2
3.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.756 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.756 * [taylor]: Taking taylor expansion of im in im
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify 1 into 1
3.756 * [backup-simplify]: Simplify (* 1 1) into 1
3.756 * [backup-simplify]: Simplify (/ 1 1) into 1
3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.759 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.759 * [backup-simplify]: Simplify (+ 0 0) into 0
3.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.761 * [backup-simplify]: Simplify (- 0) into 0
3.761 * [backup-simplify]: Simplify (+ 0 0) into 0
3.761 * [taylor]: Taking taylor expansion of 0 in im
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.762 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2)
3.763 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.763 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.763 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.763 * [taylor]: Taking taylor expansion of re in im
3.763 * [backup-simplify]: Simplify re into re
3.763 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.763 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.763 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.763 * [taylor]: Taking taylor expansion of im in im
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 1 into 1
3.763 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.763 * [taylor]: Taking taylor expansion of re in im
3.763 * [backup-simplify]: Simplify re into re
3.763 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.763 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.763 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.763 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.764 * [backup-simplify]: Simplify (+ 0 0) into 0
3.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.764 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.764 * [taylor]: Taking taylor expansion of re in re
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify 1 into 1
3.764 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.764 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.764 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.764 * [taylor]: Taking taylor expansion of im in re
3.764 * [backup-simplify]: Simplify im into im
3.764 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.764 * [taylor]: Taking taylor expansion of re in re
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify 1 into 1
3.764 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.764 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.764 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.764 * [backup-simplify]: Simplify (+ 0 0) into 0
3.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.765 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.765 * [taylor]: Taking taylor expansion of re in re
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.765 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.765 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.765 * [taylor]: Taking taylor expansion of im in re
3.765 * [backup-simplify]: Simplify im into im
3.765 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.765 * [taylor]: Taking taylor expansion of re in re
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.765 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.765 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.765 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.765 * [backup-simplify]: Simplify (+ 0 0) into 0
3.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.765 * [backup-simplify]: Simplify (+ 0 im) into im
3.765 * [taylor]: Taking taylor expansion of im in im
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify (+ 1 0) into 1
3.766 * [taylor]: Taking taylor expansion of 1 in im
3.766 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.766 * [backup-simplify]: Simplify (* 1 1) into 1
3.767 * [backup-simplify]: Simplify (+ 0 1) into 1
3.767 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.767 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.767 * [taylor]: Taking taylor expansion of 1/2 in im
3.767 * [backup-simplify]: Simplify 1/2 into 1/2
3.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.767 * [taylor]: Taking taylor expansion of im in im
3.767 * [backup-simplify]: Simplify 0 into 0
3.767 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (/ 1 1) into 1
3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.770 * [taylor]: Taking taylor expansion of 0 in im
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.771 * [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)))))
3.771 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.772 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.772 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.772 * [taylor]: Taking taylor expansion of re in im
3.772 * [backup-simplify]: Simplify re into re
3.772 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.772 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.772 * [taylor]: Taking taylor expansion of re in im
3.772 * [backup-simplify]: Simplify re into re
3.772 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.772 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.772 * [taylor]: Taking taylor expansion of im in im
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 1 into 1
3.773 * [backup-simplify]: Simplify (* 1 1) into 1
3.774 * [backup-simplify]: Simplify (/ 1 1) into 1
3.774 * [backup-simplify]: Simplify (+ 0 1) into 1
3.774 * [backup-simplify]: Simplify (sqrt 1) into 1
3.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify (+ 0 0) into 0
3.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.776 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.776 * [taylor]: Taking taylor expansion of re in re
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 1 into 1
3.776 * [backup-simplify]: Simplify (/ 1 1) into 1
3.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.776 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.776 * [taylor]: Taking taylor expansion of re in re
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 1 into 1
3.776 * [backup-simplify]: Simplify (* 1 1) into 1
3.777 * [backup-simplify]: Simplify (/ 1 1) into 1
3.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.777 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.777 * [taylor]: Taking taylor expansion of im in re
3.777 * [backup-simplify]: Simplify im into im
3.777 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.777 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.777 * [backup-simplify]: Simplify (+ 1 0) into 1
3.777 * [backup-simplify]: Simplify (sqrt 1) into 1
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.779 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.779 * [taylor]: Taking taylor expansion of re in re
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify 1 into 1
3.779 * [backup-simplify]: Simplify (/ 1 1) into 1
3.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.779 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.779 * [taylor]: Taking taylor expansion of re in re
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify 1 into 1
3.780 * [backup-simplify]: Simplify (* 1 1) into 1
3.780 * [backup-simplify]: Simplify (/ 1 1) into 1
3.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.780 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.780 * [taylor]: Taking taylor expansion of im in re
3.780 * [backup-simplify]: Simplify im into im
3.780 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.780 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.780 * [backup-simplify]: Simplify (+ 1 0) into 1
3.781 * [backup-simplify]: Simplify (sqrt 1) into 1
3.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.782 * [backup-simplify]: Simplify (+ 1 1) into 2
3.782 * [taylor]: Taking taylor expansion of 2 in im
3.782 * [backup-simplify]: Simplify 2 into 2
3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.783 * [backup-simplify]: Simplify (+ 0 0) into 0
3.783 * [taylor]: Taking taylor expansion of 0 in im
3.783 * [backup-simplify]: Simplify 0 into 0
3.783 * [backup-simplify]: Simplify 2 into 2
3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.786 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.787 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.787 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.787 * [taylor]: Taking taylor expansion of 1/2 in im
3.787 * [backup-simplify]: Simplify 1/2 into 1/2
3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.787 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.788 * [taylor]: Taking taylor expansion of im in im
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 1 into 1
3.788 * [backup-simplify]: Simplify (* 1 1) into 1
3.788 * [backup-simplify]: Simplify (/ 1 1) into 1
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.795 * [backup-simplify]: Simplify (+ 0 0) into 0
3.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.796 * [backup-simplify]: Simplify (+ 0 0) into 0
3.796 * [taylor]: Taking taylor expansion of 0 in im
3.796 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.799 * [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))
3.800 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.800 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.800 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.800 * [taylor]: Taking taylor expansion of re in im
3.800 * [backup-simplify]: Simplify re into re
3.800 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.800 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.800 * [taylor]: Taking taylor expansion of im in im
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 1 into 1
3.801 * [backup-simplify]: Simplify (* 1 1) into 1
3.801 * [backup-simplify]: Simplify (/ 1 1) into 1
3.801 * [backup-simplify]: Simplify (+ 0 1) into 1
3.802 * [backup-simplify]: Simplify (sqrt 1) into 1
3.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (+ 0 0) into 0
3.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.804 * [taylor]: Taking taylor expansion of re in im
3.804 * [backup-simplify]: Simplify re into re
3.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.804 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.804 * [taylor]: Taking taylor expansion of re in re
3.804 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 1 into 1
3.805 * [backup-simplify]: Simplify (* 1 1) into 1
3.805 * [backup-simplify]: Simplify (/ 1 1) into 1
3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.805 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.805 * [taylor]: Taking taylor expansion of im in re
3.805 * [backup-simplify]: Simplify im into im
3.805 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.806 * [backup-simplify]: Simplify (+ 1 0) into 1
3.806 * [backup-simplify]: Simplify (sqrt 1) into 1
3.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.808 * [backup-simplify]: Simplify (+ 0 0) into 0
3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.809 * [taylor]: Taking taylor expansion of re in re
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [backup-simplify]: Simplify (/ 1 1) into 1
3.809 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.810 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.810 * [taylor]: Taking taylor expansion of re in re
3.810 * [backup-simplify]: Simplify 0 into 0
3.810 * [backup-simplify]: Simplify 1 into 1
3.810 * [backup-simplify]: Simplify (* 1 1) into 1
3.810 * [backup-simplify]: Simplify (/ 1 1) into 1
3.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.810 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.810 * [taylor]: Taking taylor expansion of im in re
3.810 * [backup-simplify]: Simplify im into im
3.811 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.811 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.811 * [backup-simplify]: Simplify (+ 1 0) into 1
3.812 * [backup-simplify]: Simplify (sqrt 1) into 1
3.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.814 * [taylor]: Taking taylor expansion of re in re
3.814 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify 1 into 1
3.815 * [backup-simplify]: Simplify (/ 1 1) into 1
3.815 * [backup-simplify]: Simplify (- 1) into -1
3.815 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.815 * [taylor]: Taking taylor expansion of 0 in im
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify (- 0) into 0
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.817 * [taylor]: Taking taylor expansion of 0 in im
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.822 * [backup-simplify]: Simplify (- 0) into 0
3.822 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.822 * [taylor]: Taking taylor expansion of 1/2 in im
3.822 * [backup-simplify]: Simplify 1/2 into 1/2
3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.822 * [taylor]: Taking taylor expansion of im in im
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.822 * [backup-simplify]: Simplify (* 1 1) into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.828 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (- 0) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [taylor]: Taking taylor expansion of 0 in im
3.832 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * * * [progress]: simplifying candidates
3.837 * [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 (+ (* 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 (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
3.838 * * [simplify]: iteration 0: 59 enodes
3.862 * * [simplify]: iteration 1: 143 enodes
3.927 * * [simplify]: iteration 2: 355 enodes
4.100 * * [simplify]: iteration 3: 832 enodes
4.536 * * [simplify]: iteration 4: 2238 enodes
5.321 * * [simplify]: iteration complete: 5001 enodes
5.321 * * [simplify]: Extracting #0: cost 32 inf + 0
5.321 * * [simplify]: Extracting #1: cost 131 inf + 87
5.323 * * [simplify]: Extracting #2: cost 400 inf + 983
5.327 * * [simplify]: Extracting #3: cost 1188 inf + 11269
5.355 * * [simplify]: Extracting #4: cost 1402 inf + 74573
5.435 * * [simplify]: Extracting #5: cost 713 inf + 278408
5.546 * * [simplify]: Extracting #6: cost 106 inf + 506826
5.702 * * [simplify]: Extracting #7: cost 48 inf + 521168
5.844 * * [simplify]: Extracting #8: cost 7 inf + 529347
5.967 * * [simplify]: Extracting #9: cost 0 inf + 531398
6.095 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (+ re im)
  (+ re re)
  0
6.111 * * * [progress]: adding candidates to table
6.667 * * [progress]: iteration 3 / 4
6.667 * * * [progress]: picking best candidate
6.692 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
6.692 * * * [progress]: localizing error
6.732 * * * [progress]: generating rewritten candidates
6.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
6.738 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
6.748 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
6.810 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
6.906 * * * [progress]: generating series expansions
6.906 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
6.906 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.906 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.907 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.907 * [taylor]: Taking taylor expansion of im in im
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 1 into 1
6.907 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.907 * [taylor]: Taking taylor expansion of re in im
6.907 * [backup-simplify]: Simplify re into re
6.907 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.907 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.907 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.907 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.908 * [backup-simplify]: Simplify (+ 0 0) into 0
6.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.908 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.908 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.908 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.908 * [taylor]: Taking taylor expansion of im in re
6.908 * [backup-simplify]: Simplify im into im
6.908 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.908 * [taylor]: Taking taylor expansion of re in re
6.908 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify 1 into 1
6.909 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.909 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.909 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.909 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.909 * [backup-simplify]: Simplify (+ 0 0) into 0
6.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.910 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.910 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.910 * [taylor]: Taking taylor expansion of im in re
6.910 * [backup-simplify]: Simplify im into im
6.910 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.910 * [taylor]: Taking taylor expansion of re in re
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.910 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.911 * [backup-simplify]: Simplify (+ 0 0) into 0
6.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.911 * [taylor]: Taking taylor expansion of im in im
6.911 * [backup-simplify]: Simplify 0 into 0
6.911 * [backup-simplify]: Simplify 1 into 1
6.911 * [backup-simplify]: Simplify 0 into 0
6.911 * [taylor]: Taking taylor expansion of 0 in im
6.911 * [backup-simplify]: Simplify 0 into 0
6.911 * [backup-simplify]: Simplify 0 into 0
6.911 * [backup-simplify]: Simplify 1 into 1
6.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.912 * [backup-simplify]: Simplify (* 1 1) into 1
6.913 * [backup-simplify]: Simplify (+ 0 1) into 1
6.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.913 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.913 * [taylor]: Taking taylor expansion of 1/2 in im
6.914 * [backup-simplify]: Simplify 1/2 into 1/2
6.914 * [taylor]: Taking taylor expansion of im in im
6.914 * [backup-simplify]: Simplify 0 into 0
6.914 * [backup-simplify]: Simplify 1 into 1
6.914 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.917 * [backup-simplify]: Simplify (+ 0 0) into 0
6.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.917 * [taylor]: Taking taylor expansion of 0 in im
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.919 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.919 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.919 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.919 * [taylor]: Taking taylor expansion of re in im
6.919 * [backup-simplify]: Simplify re into re
6.919 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.919 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.919 * [taylor]: Taking taylor expansion of im in im
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 1 into 1
6.920 * [backup-simplify]: Simplify (* 1 1) into 1
6.920 * [backup-simplify]: Simplify (/ 1 1) into 1
6.921 * [backup-simplify]: Simplify (+ 0 1) into 1
6.921 * [backup-simplify]: Simplify (sqrt 1) into 1
6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.923 * [backup-simplify]: Simplify (+ 0 0) into 0
6.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.924 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.924 * [taylor]: Taking taylor expansion of re in re
6.924 * [backup-simplify]: Simplify 0 into 0
6.924 * [backup-simplify]: Simplify 1 into 1
6.924 * [backup-simplify]: Simplify (* 1 1) into 1
6.928 * [backup-simplify]: Simplify (/ 1 1) into 1
6.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.928 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.928 * [taylor]: Taking taylor expansion of im in re
6.928 * [backup-simplify]: Simplify im into im
6.928 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.928 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.929 * [backup-simplify]: Simplify (+ 1 0) into 1
6.929 * [backup-simplify]: Simplify (sqrt 1) into 1
6.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.931 * [backup-simplify]: Simplify (+ 0 0) into 0
6.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.932 * [taylor]: Taking taylor expansion of re in re
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 1 into 1
6.932 * [backup-simplify]: Simplify (* 1 1) into 1
6.933 * [backup-simplify]: Simplify (/ 1 1) into 1
6.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.933 * [taylor]: Taking taylor expansion of im in re
6.933 * [backup-simplify]: Simplify im into im
6.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.933 * [backup-simplify]: Simplify (+ 1 0) into 1
6.934 * [backup-simplify]: Simplify (sqrt 1) into 1
6.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.936 * [backup-simplify]: Simplify (+ 0 0) into 0
6.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.936 * [taylor]: Taking taylor expansion of 1 in im
6.936 * [backup-simplify]: Simplify 1 into 1
6.936 * [taylor]: Taking taylor expansion of 0 in im
6.937 * [backup-simplify]: Simplify 0 into 0
6.937 * [backup-simplify]: Simplify 1 into 1
6.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.939 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.940 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.940 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.940 * [taylor]: Taking taylor expansion of 1/2 in im
6.940 * [backup-simplify]: Simplify 1/2 into 1/2
6.940 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.940 * [taylor]: Taking taylor expansion of im in im
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.941 * [backup-simplify]: Simplify (* 1 1) into 1
6.941 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 0 into 0
6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.946 * [backup-simplify]: Simplify (+ 0 0) into 0
6.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.947 * [taylor]: Taking taylor expansion of 0 in im
6.947 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.949 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.950 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.950 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.950 * [taylor]: Taking taylor expansion of re in im
6.950 * [backup-simplify]: Simplify re into re
6.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.950 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.950 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.950 * [taylor]: Taking taylor expansion of im in im
6.950 * [backup-simplify]: Simplify 0 into 0
6.950 * [backup-simplify]: Simplify 1 into 1
6.951 * [backup-simplify]: Simplify (* 1 1) into 1
6.951 * [backup-simplify]: Simplify (/ 1 1) into 1
6.952 * [backup-simplify]: Simplify (+ 0 1) into 1
6.952 * [backup-simplify]: Simplify (sqrt 1) into 1
6.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.954 * [backup-simplify]: Simplify (+ 0 0) into 0
6.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.955 * [taylor]: Taking taylor expansion of re in re
6.955 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify 1 into 1
6.955 * [backup-simplify]: Simplify (* 1 1) into 1
6.956 * [backup-simplify]: Simplify (/ 1 1) into 1
6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.956 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.956 * [taylor]: Taking taylor expansion of im in re
6.956 * [backup-simplify]: Simplify im into im
6.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.956 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.957 * [backup-simplify]: Simplify (+ 1 0) into 1
6.957 * [backup-simplify]: Simplify (sqrt 1) into 1
6.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.959 * [backup-simplify]: Simplify (+ 0 0) into 0
6.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.960 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.960 * [taylor]: Taking taylor expansion of re in re
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 1 into 1
6.960 * [backup-simplify]: Simplify (* 1 1) into 1
6.961 * [backup-simplify]: Simplify (/ 1 1) into 1
6.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.961 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.961 * [taylor]: Taking taylor expansion of im in re
6.961 * [backup-simplify]: Simplify im into im
6.961 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.962 * [backup-simplify]: Simplify (+ 1 0) into 1
6.962 * [backup-simplify]: Simplify (sqrt 1) into 1
6.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.964 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.965 * [taylor]: Taking taylor expansion of 1 in im
6.965 * [backup-simplify]: Simplify 1 into 1
6.965 * [taylor]: Taking taylor expansion of 0 in im
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 1 into 1
6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.968 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.970 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.970 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.970 * [taylor]: Taking taylor expansion of 1/2 in im
6.970 * [backup-simplify]: Simplify 1/2 into 1/2
6.970 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.970 * [taylor]: Taking taylor expansion of im in im
6.970 * [backup-simplify]: Simplify 0 into 0
6.970 * [backup-simplify]: Simplify 1 into 1
6.971 * [backup-simplify]: Simplify (* 1 1) into 1
6.971 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.976 * [backup-simplify]: Simplify (+ 0 0) into 0
6.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.977 * [taylor]: Taking taylor expansion of 0 in im
6.977 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.979 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
6.979 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im)
6.979 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
6.980 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.980 * [taylor]: Taking taylor expansion of 2.0 in im
6.980 * [backup-simplify]: Simplify 2.0 into 2.0
6.980 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.981 * [taylor]: Taking taylor expansion of im in im
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.981 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.981 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.981 * [taylor]: Taking taylor expansion of 2.0 in im
6.981 * [backup-simplify]: Simplify 2.0 into 2.0
6.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.982 * [taylor]: Taking taylor expansion of im in im
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify 1 into 1
6.983 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
6.985 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.988 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
6.988 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.990 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.993 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.996 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.000 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.003 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
7.004 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im)
7.004 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
7.004 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.004 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.004 * [taylor]: Taking taylor expansion of 2.0 in im
7.004 * [backup-simplify]: Simplify 2.0 into 2.0
7.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.005 * [taylor]: Taking taylor expansion of im in im
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 1 into 1
7.006 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.006 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.006 * [taylor]: Taking taylor expansion of 2.0 in im
7.006 * [backup-simplify]: Simplify 2.0 into 2.0
7.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.007 * [taylor]: Taking taylor expansion of im in im
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify 1 into 1
7.008 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.010 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.012 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
7.023 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im)
7.023 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
7.024 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.024 * [taylor]: Taking taylor expansion of 2.0 in im
7.024 * [backup-simplify]: Simplify 2.0 into 2.0
7.024 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.025 * [taylor]: Taking taylor expansion of im in im
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 1 into 1
7.026 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.026 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.026 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.026 * [taylor]: Taking taylor expansion of 2.0 in im
7.026 * [backup-simplify]: Simplify 2.0 into 2.0
7.026 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.027 * [taylor]: Taking taylor expansion of im in im
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.028 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.029 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.031 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.037 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.039 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
7.042 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
7.043 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
7.043 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
7.043 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
7.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.043 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.043 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.043 * [taylor]: Taking taylor expansion of im in im
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.043 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.043 * [taylor]: Taking taylor expansion of re in im
7.043 * [backup-simplify]: Simplify re into re
7.043 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.043 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.043 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.043 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.044 * [backup-simplify]: Simplify (+ 0 0) into 0
7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.044 * [taylor]: Taking taylor expansion of re in im
7.044 * [backup-simplify]: Simplify re into re
7.044 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
7.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.044 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.044 * [taylor]: Taking taylor expansion of im in re
7.044 * [backup-simplify]: Simplify im into im
7.044 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.044 * [taylor]: Taking taylor expansion of re in re
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify 1 into 1
7.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.044 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.045 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.045 * [backup-simplify]: Simplify (+ 0 0) into 0
7.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.045 * [taylor]: Taking taylor expansion of re in re
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.045 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
7.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.045 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.045 * [taylor]: Taking taylor expansion of im in re
7.045 * [backup-simplify]: Simplify im into im
7.045 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.046 * [taylor]: Taking taylor expansion of re in re
7.046 * [backup-simplify]: Simplify 0 into 0
7.046 * [backup-simplify]: Simplify 1 into 1
7.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.046 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.046 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.046 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.046 * [backup-simplify]: Simplify (+ 0 0) into 0
7.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.047 * [taylor]: Taking taylor expansion of re in re
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (- 0) into 0
7.047 * [backup-simplify]: Simplify (+ im 0) into im
7.047 * [taylor]: Taking taylor expansion of im in im
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (- 1) into -1
7.048 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.048 * [taylor]: Taking taylor expansion of -1 in im
7.048 * [backup-simplify]: Simplify -1 into -1
7.048 * [backup-simplify]: Simplify -1 into -1
7.048 * [backup-simplify]: Simplify 1 into 1
7.049 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.049 * [backup-simplify]: Simplify (* 1 1) into 1
7.049 * [backup-simplify]: Simplify (+ 0 1) into 1
7.050 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.050 * [backup-simplify]: Simplify (- 0) into 0
7.050 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.051 * [taylor]: Taking taylor expansion of 1/2 in im
7.051 * [backup-simplify]: Simplify 1/2 into 1/2
7.051 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.051 * [taylor]: Taking taylor expansion of im in im
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify 1 into 1
7.051 * [backup-simplify]: Simplify (/ 1 1) into 1
7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.055 * [backup-simplify]: Simplify (- 0) into 0
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [taylor]: Taking taylor expansion of 0 in im
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
7.058 * [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))
7.058 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
7.058 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.058 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.058 * [taylor]: Taking taylor expansion of re in im
7.058 * [backup-simplify]: Simplify re into re
7.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.059 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.059 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.059 * [taylor]: Taking taylor expansion of im in im
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 1 into 1
7.059 * [backup-simplify]: Simplify (* 1 1) into 1
7.060 * [backup-simplify]: Simplify (/ 1 1) into 1
7.060 * [backup-simplify]: Simplify (+ 0 1) into 1
7.061 * [backup-simplify]: Simplify (sqrt 1) into 1
7.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.063 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.063 * [taylor]: Taking taylor expansion of re in im
7.063 * [backup-simplify]: Simplify re into re
7.063 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.063 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.063 * [taylor]: Taking taylor expansion of re in re
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (* 1 1) into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.064 * [taylor]: Taking taylor expansion of im in re
7.064 * [backup-simplify]: Simplify im into im
7.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.065 * [backup-simplify]: Simplify (+ 1 0) into 1
7.065 * [backup-simplify]: Simplify (sqrt 1) into 1
7.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.068 * [taylor]: Taking taylor expansion of re in re
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (/ 1 1) into 1
7.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.068 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.068 * [taylor]: Taking taylor expansion of re in re
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.069 * [backup-simplify]: Simplify (* 1 1) into 1
7.069 * [backup-simplify]: Simplify (/ 1 1) into 1
7.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.069 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.069 * [taylor]: Taking taylor expansion of im in re
7.069 * [backup-simplify]: Simplify im into im
7.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.070 * [backup-simplify]: Simplify (+ 1 0) into 1
7.070 * [backup-simplify]: Simplify (sqrt 1) into 1
7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ 0 0) into 0
7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.073 * [taylor]: Taking taylor expansion of re in re
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [backup-simplify]: Simplify (/ 1 1) into 1
7.074 * [backup-simplify]: Simplify (- 1) into -1
7.074 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.074 * [taylor]: Taking taylor expansion of 0 in im
7.074 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.075 * [backup-simplify]: Simplify (- 0) into 0
7.075 * [backup-simplify]: Simplify (+ 0 0) into 0
7.075 * [taylor]: Taking taylor expansion of 0 in im
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.081 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.082 * [backup-simplify]: Simplify (- 0) into 0
7.083 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.083 * [taylor]: Taking taylor expansion of 1/2 in im
7.083 * [backup-simplify]: Simplify 1/2 into 1/2
7.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.083 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.083 * [taylor]: Taking taylor expansion of im in im
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 1 into 1
7.083 * [backup-simplify]: Simplify (* 1 1) into 1
7.084 * [backup-simplify]: Simplify (/ 1 1) into 1
7.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify (- 0) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [taylor]: Taking taylor expansion of 0 in im
7.091 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.095 * [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)))))
7.095 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
7.095 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.095 * [taylor]: Taking taylor expansion of re in im
7.095 * [backup-simplify]: Simplify re into re
7.095 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.095 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.095 * [taylor]: Taking taylor expansion of re in im
7.095 * [backup-simplify]: Simplify re into re
7.095 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.096 * [taylor]: Taking taylor expansion of im in im
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (* 1 1) into 1
7.096 * [backup-simplify]: Simplify (/ 1 1) into 1
7.097 * [backup-simplify]: Simplify (+ 0 1) into 1
7.097 * [backup-simplify]: Simplify (sqrt 1) into 1
7.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.099 * [backup-simplify]: Simplify (+ 0 0) into 0
7.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.100 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.100 * [taylor]: Taking taylor expansion of re in re
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.100 * [backup-simplify]: Simplify (/ 1 1) into 1
7.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.100 * [taylor]: Taking taylor expansion of re in re
7.100 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify 1 into 1
7.101 * [backup-simplify]: Simplify (* 1 1) into 1
7.101 * [backup-simplify]: Simplify (/ 1 1) into 1
7.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.101 * [taylor]: Taking taylor expansion of im in re
7.101 * [backup-simplify]: Simplify im into im
7.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.102 * [backup-simplify]: Simplify (+ 1 0) into 1
7.102 * [backup-simplify]: Simplify (sqrt 1) into 1
7.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.104 * [backup-simplify]: Simplify (+ 0 0) into 0
7.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.105 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.105 * [taylor]: Taking taylor expansion of re in re
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.106 * [backup-simplify]: Simplify (/ 1 1) into 1
7.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.106 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.106 * [taylor]: Taking taylor expansion of re in re
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 1 into 1
7.106 * [backup-simplify]: Simplify (* 1 1) into 1
7.107 * [backup-simplify]: Simplify (/ 1 1) into 1
7.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.107 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.107 * [taylor]: Taking taylor expansion of im in re
7.107 * [backup-simplify]: Simplify im into im
7.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.107 * [backup-simplify]: Simplify (+ 1 0) into 1
7.108 * [backup-simplify]: Simplify (sqrt 1) into 1
7.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.109 * [backup-simplify]: Simplify (+ 0 0) into 0
7.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.111 * [backup-simplify]: Simplify (+ 1 1) into 2
7.111 * [taylor]: Taking taylor expansion of 2 in im
7.111 * [backup-simplify]: Simplify 2 into 2
7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.112 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [taylor]: Taking taylor expansion of 0 in im
7.112 * [backup-simplify]: Simplify 0 into 0
7.112 * [backup-simplify]: Simplify 2 into 2
7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.115 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.116 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.116 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.117 * [taylor]: Taking taylor expansion of 1/2 in im
7.117 * [backup-simplify]: Simplify 1/2 into 1/2
7.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.117 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.117 * [taylor]: Taking taylor expansion of im in im
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 1 into 1
7.117 * [backup-simplify]: Simplify (* 1 1) into 1
7.117 * [backup-simplify]: Simplify (/ 1 1) into 1
7.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.125 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [taylor]: Taking taylor expansion of 0 in im
7.125 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
7.128 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
7.128 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
7.128 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
7.129 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
7.129 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
7.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.129 * [taylor]: Taking taylor expansion of 2.0 in re
7.129 * [backup-simplify]: Simplify 2.0 into 2.0
7.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.130 * [taylor]: Taking taylor expansion of im in re
7.130 * [backup-simplify]: Simplify im into im
7.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
7.130 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
7.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
7.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.130 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.130 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.130 * [taylor]: Taking taylor expansion of im in re
7.130 * [backup-simplify]: Simplify im into im
7.130 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.130 * [taylor]: Taking taylor expansion of re in re
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.130 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.131 * [backup-simplify]: Simplify (+ 0 0) into 0
7.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.131 * [taylor]: Taking taylor expansion of re in re
7.131 * [backup-simplify]: Simplify 0 into 0
7.131 * [backup-simplify]: Simplify 1 into 1
7.132 * [backup-simplify]: Simplify (- 0) into 0
7.132 * [backup-simplify]: Simplify (+ im 0) into im
7.132 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.132 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.132 * [backup-simplify]: Simplify (- 1) into -1
7.133 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
7.133 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
7.133 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
7.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.133 * [taylor]: Taking taylor expansion of 2.0 in im
7.133 * [backup-simplify]: Simplify 2.0 into 2.0
7.134 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.134 * [taylor]: Taking taylor expansion of im in im
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 1 into 1
7.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
7.135 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
7.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
7.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.135 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.135 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.135 * [taylor]: Taking taylor expansion of im in im
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 1 into 1
7.135 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.135 * [taylor]: Taking taylor expansion of re in im
7.135 * [backup-simplify]: Simplify re into re
7.135 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.135 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.135 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.135 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.136 * [backup-simplify]: Simplify (+ 0 0) into 0
7.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.136 * [taylor]: Taking taylor expansion of re in im
7.136 * [backup-simplify]: Simplify re into re
7.136 * [backup-simplify]: Simplify (- re) into (- re)
7.136 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.136 * [backup-simplify]: Simplify (- 0) into 0
7.137 * [backup-simplify]: Simplify (+ 0 0) into 0
7.137 * [backup-simplify]: Simplify (* 1 1) into 1
7.138 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.138 * [backup-simplify]: Simplify (+ 1 0) into 1
7.139 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.139 * [backup-simplify]: Simplify (- 0) into 0
7.139 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.140 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.140 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
7.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.141 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.142 * [backup-simplify]: Simplify (+ 0 0) into 0
7.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.142 * [backup-simplify]: Simplify (- 0) into 0
7.142 * [backup-simplify]: Simplify (+ 0 0) into 0
7.143 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.143 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
7.143 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.143 * [taylor]: Taking taylor expansion of 2.0 in im
7.143 * [backup-simplify]: Simplify 2.0 into 2.0
7.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.144 * [taylor]: Taking taylor expansion of im in im
7.144 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
7.145 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
7.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
7.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.145 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.145 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.145 * [taylor]: Taking taylor expansion of im in im
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.145 * [taylor]: Taking taylor expansion of re in im
7.145 * [backup-simplify]: Simplify re into re
7.145 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.145 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.145 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.145 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.146 * [backup-simplify]: Simplify (+ 0 0) into 0
7.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.146 * [taylor]: Taking taylor expansion of re in im
7.146 * [backup-simplify]: Simplify re into re
7.146 * [backup-simplify]: Simplify (- re) into (- re)
7.146 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.147 * [backup-simplify]: Simplify (- 0) into 0
7.147 * [backup-simplify]: Simplify (+ 0 0) into 0
7.147 * [backup-simplify]: Simplify (* 1 1) into 1
7.148 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.148 * [backup-simplify]: Simplify (+ 1 0) into 1
7.149 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.149 * [backup-simplify]: Simplify (- 0) into 0
7.149 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.150 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.150 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
7.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.151 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.152 * [backup-simplify]: Simplify (- 0) into 0
7.152 * [backup-simplify]: Simplify (+ 0 0) into 0
7.153 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.153 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.154 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0
7.154 * [taylor]: Taking taylor expansion of 0 in re
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.157 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
7.157 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
7.157 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
7.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.157 * [taylor]: Taking taylor expansion of 2.0 in re
7.157 * [backup-simplify]: Simplify 2.0 into 2.0
7.158 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.158 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.158 * [taylor]: Taking taylor expansion of 2 in re
7.158 * [backup-simplify]: Simplify 2 into 2
7.159 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.159 * [taylor]: Taking taylor expansion of (sqrt re) in re
7.159 * [taylor]: Taking taylor expansion of re in re
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify 1 into 1
7.160 * [backup-simplify]: Simplify (sqrt 0) into 0
7.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.163 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
7.163 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
7.163 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.166 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
7.166 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
7.167 * [backup-simplify]: Simplify (- 0) into 0
7.168 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
7.168 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
7.169 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
7.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.172 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.174 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0
7.174 * [taylor]: Taking taylor expansion of 0 in re
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
7.178 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.181 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.181 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
7.184 * [backup-simplify]: Simplify (+ 0 0) into 0
7.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
7.185 * [backup-simplify]: Simplify (- 0) into 0
7.185 * [backup-simplify]: Simplify (+ 0 0) into 0
7.186 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
7.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.190 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
7.193 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
7.193 * [taylor]: Taking taylor expansion of 1/4 in re
7.193 * [backup-simplify]: Simplify 1/4 into 1/4
7.193 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
7.193 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
7.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.193 * [taylor]: Taking taylor expansion of 2.0 in re
7.193 * [backup-simplify]: Simplify 2.0 into 2.0
7.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.195 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.195 * [taylor]: Taking taylor expansion of 2 in re
7.195 * [backup-simplify]: Simplify 2 into 2
7.195 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.197 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
7.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
7.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
7.197 * [taylor]: Taking taylor expansion of (pow re 3) in re
7.197 * [taylor]: Taking taylor expansion of re in re
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.198 * [backup-simplify]: Simplify (* 1 1) into 1
7.198 * [backup-simplify]: Simplify (* 1 1) into 1
7.198 * [backup-simplify]: Simplify (/ 1 1) into 1
7.199 * [backup-simplify]: Simplify (sqrt 0) into 0
7.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.206 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.207 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
7.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.211 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
7.215 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.219 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.219 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
7.230 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.233 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.233 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
7.244 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.247 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.257 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
7.258 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
7.258 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
7.258 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
7.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.258 * [taylor]: Taking taylor expansion of 2.0 in re
7.258 * [backup-simplify]: Simplify 2.0 into 2.0
7.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.259 * [taylor]: Taking taylor expansion of im in re
7.259 * [backup-simplify]: Simplify im into im
7.260 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
7.260 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
7.260 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.260 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.260 * [taylor]: Taking taylor expansion of re in re
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify 1 into 1
7.260 * [backup-simplify]: Simplify (* 1 1) into 1
7.261 * [backup-simplify]: Simplify (/ 1 1) into 1
7.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.261 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.261 * [taylor]: Taking taylor expansion of im in re
7.261 * [backup-simplify]: Simplify im into im
7.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.262 * [backup-simplify]: Simplify (+ 1 0) into 1
7.262 * [backup-simplify]: Simplify (sqrt 1) into 1
7.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.264 * [backup-simplify]: Simplify (+ 0 0) into 0
7.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.265 * [taylor]: Taking taylor expansion of re in re
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify 1 into 1
7.266 * [backup-simplify]: Simplify (/ 1 1) into 1
7.266 * [backup-simplify]: Simplify (- 1) into -1
7.267 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.268 * [backup-simplify]: Simplify (- 0) into 0
7.268 * [backup-simplify]: Simplify (+ 0 0) into 0
7.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.272 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.273 * [backup-simplify]: Simplify (- 0) into 0
7.273 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.273 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.274 * [backup-simplify]: Simplify (sqrt 0) into 0
7.274 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.274 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
7.275 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.275 * [taylor]: Taking taylor expansion of 2.0 in im
7.275 * [backup-simplify]: Simplify 2.0 into 2.0
7.275 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.276 * [taylor]: Taking taylor expansion of im in im
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [backup-simplify]: Simplify 1 into 1
7.277 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
7.277 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
7.277 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.277 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.277 * [taylor]: Taking taylor expansion of re in im
7.277 * [backup-simplify]: Simplify re into re
7.277 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.277 * [taylor]: Taking taylor expansion of im in im
7.277 * [backup-simplify]: Simplify 0 into 0
7.277 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (* 1 1) into 1
7.278 * [backup-simplify]: Simplify (/ 1 1) into 1
7.279 * [backup-simplify]: Simplify (+ 0 1) into 1
7.279 * [backup-simplify]: Simplify (sqrt 1) into 1
7.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.281 * [backup-simplify]: Simplify (+ 0 0) into 0
7.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.282 * [taylor]: Taking taylor expansion of re in im
7.282 * [backup-simplify]: Simplify re into re
7.282 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.282 * [backup-simplify]: Simplify (+ 1 0) into 1
7.283 * [backup-simplify]: Simplify (/ 1 1) into 1
7.283 * [backup-simplify]: Simplify (sqrt 0) into 0
7.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.284 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
7.284 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.284 * [taylor]: Taking taylor expansion of 2.0 in im
7.284 * [backup-simplify]: Simplify 2.0 into 2.0
7.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.285 * [taylor]: Taking taylor expansion of im in im
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 1 into 1
7.286 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
7.286 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
7.286 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.286 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.286 * [taylor]: Taking taylor expansion of re in im
7.286 * [backup-simplify]: Simplify re into re
7.286 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.286 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.286 * [taylor]: Taking taylor expansion of im in im
7.286 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify 1 into 1
7.286 * [backup-simplify]: Simplify (* 1 1) into 1
7.287 * [backup-simplify]: Simplify (/ 1 1) into 1
7.287 * [backup-simplify]: Simplify (+ 0 1) into 1
7.287 * [backup-simplify]: Simplify (sqrt 1) into 1
7.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.288 * [backup-simplify]: Simplify (+ 0 0) into 0
7.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.289 * [taylor]: Taking taylor expansion of re in im
7.289 * [backup-simplify]: Simplify re into re
7.289 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.289 * [backup-simplify]: Simplify (+ 1 0) into 1
7.289 * [backup-simplify]: Simplify (/ 1 1) into 1
7.289 * [backup-simplify]: Simplify (sqrt 0) into 0
7.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.291 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.291 * [taylor]: Taking taylor expansion of 0 in re
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.292 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.292 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.293 * [taylor]: Taking taylor expansion of +nan.0 in re
7.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.293 * [taylor]: Taking taylor expansion of 2.0 in re
7.293 * [backup-simplify]: Simplify 2.0 into 2.0
7.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.293 * [backup-simplify]: Simplify 0 into 0
7.293 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.294 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
7.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.296 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
7.296 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.296 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.297 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.297 * [taylor]: Taking taylor expansion of +nan.0 in re
7.297 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.297 * [taylor]: Taking taylor expansion of 2.0 in re
7.297 * [backup-simplify]: Simplify 2.0 into 2.0
7.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.297 * [taylor]: Taking taylor expansion of +nan.0 in re
7.297 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.297 * [taylor]: Taking taylor expansion of 2.0 in re
7.297 * [backup-simplify]: Simplify 2.0 into 2.0
7.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.298 * [taylor]: Taking taylor expansion of re in re
7.298 * [backup-simplify]: Simplify 0 into 0
7.298 * [backup-simplify]: Simplify 1 into 1
7.299 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.299 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.300 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.302 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.303 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.304 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.305 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.306 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.306 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.307 * [backup-simplify]: Simplify 0 into 0
7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
7.309 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.309 * [backup-simplify]: Simplify (- 0) into 0
7.309 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.310 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
7.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
7.313 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
7.313 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
7.313 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.313 * [taylor]: Taking taylor expansion of +nan.0 in re
7.313 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.313 * [taylor]: Taking taylor expansion of 2.0 in re
7.313 * [backup-simplify]: Simplify 2.0 into 2.0
7.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.314 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
7.314 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
7.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.314 * [taylor]: Taking taylor expansion of +nan.0 in re
7.314 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.314 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.314 * [taylor]: Taking taylor expansion of 2.0 in re
7.314 * [backup-simplify]: Simplify 2.0 into 2.0
7.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.315 * [taylor]: Taking taylor expansion of re in re
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.315 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.315 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
7.315 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.315 * [taylor]: Taking taylor expansion of +nan.0 in re
7.315 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.315 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.315 * [taylor]: Taking taylor expansion of 2.0 in re
7.315 * [backup-simplify]: Simplify 2.0 into 2.0
7.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
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 (* 1 1) into 1
7.318 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.319 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.322 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.322 * [backup-simplify]: Simplify (- 0) into 0
7.324 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.326 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.329 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.331 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.333 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.338 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
7.339 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
7.339 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
7.339 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
7.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.339 * [taylor]: Taking taylor expansion of 2.0 in re
7.339 * [backup-simplify]: Simplify 2.0 into 2.0
7.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.340 * [taylor]: Taking taylor expansion of im in re
7.340 * [backup-simplify]: Simplify im into im
7.340 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
7.341 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
7.341 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.341 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.341 * [taylor]: Taking taylor expansion of re in re
7.341 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify 1 into 1
7.342 * [backup-simplify]: Simplify (* 1 1) into 1
7.342 * [backup-simplify]: Simplify (/ 1 1) into 1
7.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.342 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.342 * [taylor]: Taking taylor expansion of im in re
7.342 * [backup-simplify]: Simplify im into im
7.342 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.342 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.343 * [backup-simplify]: Simplify (+ 1 0) into 1
7.343 * [backup-simplify]: Simplify (sqrt 1) into 1
7.344 * [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 * [backup-simplify]: Simplify (+ 1 1) into 2
7.347 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.347 * [backup-simplify]: Simplify (sqrt 0) into 0
7.351 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.351 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
7.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.351 * [taylor]: Taking taylor expansion of 2.0 in im
7.351 * [backup-simplify]: Simplify 2.0 into 2.0
7.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.352 * [taylor]: Taking taylor expansion of im in im
7.352 * [backup-simplify]: Simplify 0 into 0
7.352 * [backup-simplify]: Simplify 1 into 1
7.353 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.353 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.353 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.354 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.354 * [taylor]: Taking taylor expansion of re in im
7.354 * [backup-simplify]: Simplify re into re
7.354 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.354 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.354 * [taylor]: Taking taylor expansion of re in im
7.354 * [backup-simplify]: Simplify re into re
7.354 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.354 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.354 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.354 * [taylor]: Taking taylor expansion of im in im
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify 1 into 1
7.355 * [backup-simplify]: Simplify (* 1 1) into 1
7.355 * [backup-simplify]: Simplify (/ 1 1) into 1
7.356 * [backup-simplify]: Simplify (+ 0 1) into 1
7.356 * [backup-simplify]: Simplify (sqrt 1) into 1
7.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.358 * [backup-simplify]: Simplify (+ 0 0) into 0
7.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.359 * [backup-simplify]: Simplify (+ 0 1) into 1
7.359 * [backup-simplify]: Simplify (/ 1 1) into 1
7.360 * [backup-simplify]: Simplify (sqrt 0) into 0
7.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.361 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
7.361 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.361 * [taylor]: Taking taylor expansion of 2.0 in im
7.361 * [backup-simplify]: Simplify 2.0 into 2.0
7.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
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 (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.363 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.364 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.364 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.364 * [taylor]: Taking taylor expansion of re in im
7.364 * [backup-simplify]: Simplify re into re
7.364 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.364 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.364 * [taylor]: Taking taylor expansion of re in im
7.364 * [backup-simplify]: Simplify re into re
7.364 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.364 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.364 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.364 * [taylor]: Taking taylor expansion of im in im
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (* 1 1) into 1
7.365 * [backup-simplify]: Simplify (/ 1 1) into 1
7.366 * [backup-simplify]: Simplify (+ 0 1) into 1
7.366 * [backup-simplify]: Simplify (sqrt 1) into 1
7.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.368 * [backup-simplify]: Simplify (+ 0 0) into 0
7.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.369 * [backup-simplify]: Simplify (+ 0 1) into 1
7.369 * [backup-simplify]: Simplify (/ 1 1) into 1
7.370 * [backup-simplify]: Simplify (sqrt 0) into 0
7.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.372 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.372 * [taylor]: Taking taylor expansion of 0 in re
7.372 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify 0 into 0
7.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.375 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.375 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.375 * [taylor]: Taking taylor expansion of +nan.0 in re
7.375 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.375 * [taylor]: Taking taylor expansion of 2.0 in re
7.375 * [backup-simplify]: Simplify 2.0 into 2.0
7.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.377 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.380 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.381 * [backup-simplify]: Simplify 0 into 0
7.381 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.382 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.386 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
7.386 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.386 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.386 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.386 * [taylor]: Taking taylor expansion of +nan.0 in re
7.387 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.387 * [taylor]: Taking taylor expansion of 2.0 in re
7.387 * [backup-simplify]: Simplify 2.0 into 2.0
7.387 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.388 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.388 * [taylor]: Taking taylor expansion of +nan.0 in re
7.388 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.388 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.388 * [taylor]: Taking taylor expansion of 2.0 in re
7.388 * [backup-simplify]: Simplify 2.0 into 2.0
7.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.389 * [taylor]: Taking taylor expansion of re in re
7.389 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify 1 into 1
7.390 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.391 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.393 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.393 * [backup-simplify]: Simplify (- 0) into 0
7.395 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.397 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.398 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.399 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.400 * [backup-simplify]: Simplify (- 0) into 0
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.402 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
7.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.404 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.406 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
7.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.411 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
7.411 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
7.411 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
7.411 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.411 * [taylor]: Taking taylor expansion of +nan.0 in re
7.411 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.411 * [taylor]: Taking taylor expansion of 2.0 in re
7.411 * [backup-simplify]: Simplify 2.0 into 2.0
7.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.413 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
7.413 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
7.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.413 * [taylor]: Taking taylor expansion of +nan.0 in re
7.413 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.413 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.413 * [taylor]: Taking taylor expansion of 2.0 in re
7.413 * [backup-simplify]: Simplify 2.0 into 2.0
7.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.414 * [taylor]: Taking taylor expansion of re in re
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify 1 into 1
7.415 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
7.415 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.415 * [taylor]: Taking taylor expansion of +nan.0 in re
7.415 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.415 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.415 * [taylor]: Taking taylor expansion of 2.0 in re
7.415 * [backup-simplify]: Simplify 2.0 into 2.0
7.416 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.417 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.417 * [taylor]: Taking taylor expansion of re in re
7.417 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify 1 into 1
7.417 * [backup-simplify]: Simplify (* 1 1) into 1
7.418 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.419 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.421 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.427 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.428 * [backup-simplify]: Simplify (- 0) into 0
7.428 * [backup-simplify]: Simplify (+ 0 0) into 0
7.428 * [backup-simplify]: Simplify (- 0) into 0
7.430 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.432 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.434 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.439 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
7.440 * * * [progress]: simplifying candidates
7.443 * [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 (* 2.0 (* im im))))
  (exp (sqrt (* 2.0 (* im im))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (cbrt (sqrt (* 2.0 (* im im))))
  (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im))))
  (sqrt 2.0)
  (sqrt (* im im))
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (* im im))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* 2.0 (* im im))))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1)
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) 1)
  (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) 1)
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt 1))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* 2.0 (* im im))) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
7.448 * * [simplify]: iteration 0: 195 enodes
7.505 * * [simplify]: iteration 1: 403 enodes
7.643 * * [simplify]: iteration 2: 1035 enodes
8.227 * * [simplify]: iteration 3: 3517 enodes
9.405 * * [simplify]: iteration complete: 5026 enodes
9.405 * * [simplify]: Extracting #0: cost 102 inf + 0
9.406 * * [simplify]: Extracting #1: cost 417 inf + 47
9.408 * * [simplify]: Extracting #2: cost 906 inf + 1552
9.415 * * [simplify]: Extracting #3: cost 1168 inf + 24794
9.462 * * [simplify]: Extracting #4: cost 621 inf + 124631
9.499 * * [simplify]: Extracting #5: cost 276 inf + 204703
9.580 * * [simplify]: Extracting #6: cost 55 inf + 300673
9.670 * * [simplify]: Extracting #7: cost 5 inf + 314727
9.793 * * [simplify]: Extracting #8: cost 0 inf + 316192
9.888 * [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 (* (+ (* re re) (* im im)) (- (* 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) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (* (sqrt (* (* im im) 2.0)) (* (* im im) 2.0))
  (sqrt 2.0)
  (fabs im)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (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)))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (sqrt (+ (* im im) (* re re))) re)) (* re re))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (* (* im im) 2.0)) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* (* im im) 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (* (* im im) 2.0)) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* (* im im) 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (* im im) 2.0) (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (/ (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (* (* im im) 2.0)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (* (* im im) 2.0)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (* (* im im) 2.0)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (* im im) 0)))
  im
  re
  (- re)
  (* im (sqrt 2.0))
  (* im (sqrt 2.0))
  (* (sqrt 2.0) (- im))
  (- im re)
  0
  (* -2 re)
  (- (- (* (/ (sqrt 2.0) (sqrt 2)) (* (* im im) +nan.0)) (* +nan.0 (* (* (sqrt 2) (sqrt 2.0)) (- re (* re re))))))
  (+ (/ (* +nan.0 (- (sqrt 2.0))) (* (/ im re) im)) (* +nan.0 (- (sqrt 2.0) (/ (sqrt 2.0) (/ im re)))))
  (+ (* +nan.0 (- (sqrt 2.0))) (* +nan.0 (- (/ (sqrt 2.0) im) (/ (/ (sqrt 2.0) im) im))))
9.902 * * * [progress]: adding candidates to table
10.607 * * [progress]: iteration 4 / 4
10.607 * * * [progress]: picking best candidate
10.665 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
10.665 * * * [progress]: localizing error
10.730 * * * [progress]: generating rewritten candidates
10.730 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1 1)
10.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1 1)
10.749 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1 1)
10.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
10.781 * * * [progress]: generating series expansions
10.781 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1 1)
10.782 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.782 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.782 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.782 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.782 * [taylor]: Taking taylor expansion of im in im
10.782 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.782 * [taylor]: Taking taylor expansion of re in im
10.782 * [backup-simplify]: Simplify re into re
10.782 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.782 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.782 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.783 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.783 * [backup-simplify]: Simplify (+ 0 0) into 0
10.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.784 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.784 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.784 * [taylor]: Taking taylor expansion of im in re
10.784 * [backup-simplify]: Simplify im into im
10.784 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.784 * [taylor]: Taking taylor expansion of re in re
10.784 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify 1 into 1
10.784 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.784 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.784 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.784 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.785 * [backup-simplify]: Simplify (+ 0 0) into 0
10.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.785 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.785 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.785 * [taylor]: Taking taylor expansion of im in re
10.785 * [backup-simplify]: Simplify im into im
10.785 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.785 * [taylor]: Taking taylor expansion of re in re
10.785 * [backup-simplify]: Simplify 0 into 0
10.785 * [backup-simplify]: Simplify 1 into 1
10.785 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.785 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.786 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.786 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.786 * [backup-simplify]: Simplify (+ 0 0) into 0
10.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.786 * [taylor]: Taking taylor expansion of im in im
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 1 into 1
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [taylor]: Taking taylor expansion of 0 in im
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.787 * [backup-simplify]: Simplify 1 into 1
10.787 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.787 * [backup-simplify]: Simplify (* 1 1) into 1
10.788 * [backup-simplify]: Simplify (+ 0 1) into 1
10.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.789 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.789 * [taylor]: Taking taylor expansion of 1/2 in im
10.789 * [backup-simplify]: Simplify 1/2 into 1/2
10.789 * [taylor]: Taking taylor expansion of im in im
10.789 * [backup-simplify]: Simplify 0 into 0
10.789 * [backup-simplify]: Simplify 1 into 1
10.790 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.792 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.793 * [backup-simplify]: Simplify (+ 0 0) into 0
10.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.793 * [taylor]: Taking taylor expansion of 0 in im
10.793 * [backup-simplify]: Simplify 0 into 0
10.793 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.795 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.795 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.795 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.795 * [taylor]: Taking taylor expansion of re in im
10.795 * [backup-simplify]: Simplify re into re
10.795 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.795 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.795 * [taylor]: Taking taylor expansion of im in im
10.795 * [backup-simplify]: Simplify 0 into 0
10.795 * [backup-simplify]: Simplify 1 into 1
10.796 * [backup-simplify]: Simplify (* 1 1) into 1
10.796 * [backup-simplify]: Simplify (/ 1 1) into 1
10.797 * [backup-simplify]: Simplify (+ 0 1) into 1
10.797 * [backup-simplify]: Simplify (sqrt 1) into 1
10.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.799 * [backup-simplify]: Simplify (+ 0 0) into 0
10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.800 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.800 * [taylor]: Taking taylor expansion of re in re
10.800 * [backup-simplify]: Simplify 0 into 0
10.800 * [backup-simplify]: Simplify 1 into 1
10.800 * [backup-simplify]: Simplify (* 1 1) into 1
10.801 * [backup-simplify]: Simplify (/ 1 1) into 1
10.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.801 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.801 * [taylor]: Taking taylor expansion of im in re
10.801 * [backup-simplify]: Simplify im into im
10.801 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.801 * [backup-simplify]: Simplify (+ 1 0) into 1
10.802 * [backup-simplify]: Simplify (sqrt 1) into 1
10.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.804 * [backup-simplify]: Simplify (+ 0 0) into 0
10.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.805 * [taylor]: Taking taylor expansion of re in re
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [backup-simplify]: Simplify 1 into 1
10.805 * [backup-simplify]: Simplify (* 1 1) into 1
10.805 * [backup-simplify]: Simplify (/ 1 1) into 1
10.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.805 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.805 * [taylor]: Taking taylor expansion of im in re
10.806 * [backup-simplify]: Simplify im into im
10.806 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.806 * [backup-simplify]: Simplify (+ 1 0) into 1
10.807 * [backup-simplify]: Simplify (sqrt 1) into 1
10.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.808 * [backup-simplify]: Simplify (+ 0 0) into 0
10.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.809 * [taylor]: Taking taylor expansion of 1 in im
10.809 * [backup-simplify]: Simplify 1 into 1
10.809 * [taylor]: Taking taylor expansion of 0 in im
10.809 * [backup-simplify]: Simplify 0 into 0
10.809 * [backup-simplify]: Simplify 1 into 1
10.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.811 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.813 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.813 * [taylor]: Taking taylor expansion of 1/2 in im
10.813 * [backup-simplify]: Simplify 1/2 into 1/2
10.813 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.813 * [taylor]: Taking taylor expansion of im in im
10.813 * [backup-simplify]: Simplify 0 into 0
10.813 * [backup-simplify]: Simplify 1 into 1
10.813 * [backup-simplify]: Simplify (* 1 1) into 1
10.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.815 * [backup-simplify]: Simplify 0 into 0
10.815 * [backup-simplify]: Simplify 0 into 0
10.815 * [backup-simplify]: Simplify 0 into 0
10.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.818 * [backup-simplify]: Simplify (+ 0 0) into 0
10.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.819 * [taylor]: Taking taylor expansion of 0 in im
10.819 * [backup-simplify]: Simplify 0 into 0
10.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.822 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.822 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.822 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.822 * [taylor]: Taking taylor expansion of re in im
10.822 * [backup-simplify]: Simplify re into re
10.822 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.822 * [taylor]: Taking taylor expansion of im in im
10.822 * [backup-simplify]: Simplify 0 into 0
10.822 * [backup-simplify]: Simplify 1 into 1
10.823 * [backup-simplify]: Simplify (* 1 1) into 1
10.823 * [backup-simplify]: Simplify (/ 1 1) into 1
10.824 * [backup-simplify]: Simplify (+ 0 1) into 1
10.824 * [backup-simplify]: Simplify (sqrt 1) into 1
10.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.826 * [backup-simplify]: Simplify (+ 0 0) into 0
10.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.827 * [taylor]: Taking taylor expansion of re in re
10.827 * [backup-simplify]: Simplify 0 into 0
10.827 * [backup-simplify]: Simplify 1 into 1
10.827 * [backup-simplify]: Simplify (* 1 1) into 1
10.828 * [backup-simplify]: Simplify (/ 1 1) into 1
10.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.828 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.828 * [taylor]: Taking taylor expansion of im in re
10.828 * [backup-simplify]: Simplify im into im
10.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.829 * [backup-simplify]: Simplify (+ 1 0) into 1
10.829 * [backup-simplify]: Simplify (sqrt 1) into 1
10.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.831 * [backup-simplify]: Simplify (+ 0 0) into 0
10.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.832 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.832 * [taylor]: Taking taylor expansion of re in re
10.832 * [backup-simplify]: Simplify 0 into 0
10.832 * [backup-simplify]: Simplify 1 into 1
10.832 * [backup-simplify]: Simplify (* 1 1) into 1
10.833 * [backup-simplify]: Simplify (/ 1 1) into 1
10.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.833 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.833 * [taylor]: Taking taylor expansion of im in re
10.833 * [backup-simplify]: Simplify im into im
10.833 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.833 * [backup-simplify]: Simplify (+ 1 0) into 1
10.834 * [backup-simplify]: Simplify (sqrt 1) into 1
10.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.836 * [backup-simplify]: Simplify (+ 0 0) into 0
10.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.837 * [taylor]: Taking taylor expansion of 1 in im
10.837 * [backup-simplify]: Simplify 1 into 1
10.837 * [taylor]: Taking taylor expansion of 0 in im
10.837 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 1 into 1
10.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.839 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.841 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.841 * [taylor]: Taking taylor expansion of 1/2 in im
10.841 * [backup-simplify]: Simplify 1/2 into 1/2
10.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.841 * [taylor]: Taking taylor expansion of im in im
10.841 * [backup-simplify]: Simplify 0 into 0
10.841 * [backup-simplify]: Simplify 1 into 1
10.841 * [backup-simplify]: Simplify (* 1 1) into 1
10.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.844 * [backup-simplify]: Simplify 0 into 0
10.844 * [backup-simplify]: Simplify 0 into 0
10.844 * [backup-simplify]: Simplify 0 into 0
10.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.846 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.847 * [backup-simplify]: Simplify (+ 0 0) into 0
10.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.848 * [taylor]: Taking taylor expansion of 0 in im
10.848 * [backup-simplify]: Simplify 0 into 0
10.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.850 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.851 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2 1 1)
10.851 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.851 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.851 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.851 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.851 * [taylor]: Taking taylor expansion of im in im
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify 1 into 1
10.851 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.851 * [taylor]: Taking taylor expansion of re in im
10.851 * [backup-simplify]: Simplify re into re
10.851 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.852 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.852 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.852 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.852 * [backup-simplify]: Simplify (+ 0 0) into 0
10.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.853 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.853 * [taylor]: Taking taylor expansion of im in re
10.853 * [backup-simplify]: Simplify im into im
10.853 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.853 * [taylor]: Taking taylor expansion of re in re
10.853 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify 1 into 1
10.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.853 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.853 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.854 * [backup-simplify]: Simplify (+ 0 0) into 0
10.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.854 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.854 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.854 * [taylor]: Taking taylor expansion of im in re
10.854 * [backup-simplify]: Simplify im into im
10.854 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.854 * [taylor]: Taking taylor expansion of re in re
10.854 * [backup-simplify]: Simplify 0 into 0
10.854 * [backup-simplify]: Simplify 1 into 1
10.854 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.854 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.854 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.855 * [backup-simplify]: Simplify (+ 0 0) into 0
10.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.855 * [taylor]: Taking taylor expansion of im in im
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 1 into 1
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [taylor]: Taking taylor expansion of 0 in im
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify 1 into 1
10.856 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.856 * [backup-simplify]: Simplify (* 1 1) into 1
10.857 * [backup-simplify]: Simplify (+ 0 1) into 1
10.858 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.858 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.858 * [taylor]: Taking taylor expansion of 1/2 in im
10.858 * [backup-simplify]: Simplify 1/2 into 1/2
10.858 * [taylor]: Taking taylor expansion of im in im
10.858 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify 1 into 1
10.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.859 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify 0 into 0
10.860 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.861 * [backup-simplify]: Simplify (+ 0 0) into 0
10.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.862 * [taylor]: Taking taylor expansion of 0 in im
10.862 * [backup-simplify]: Simplify 0 into 0
10.862 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.863 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.863 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.863 * [taylor]: Taking taylor expansion of re in im
10.863 * [backup-simplify]: Simplify re into re
10.863 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.864 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.864 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.864 * [taylor]: Taking taylor expansion of im in im
10.864 * [backup-simplify]: Simplify 0 into 0
10.864 * [backup-simplify]: Simplify 1 into 1
10.864 * [backup-simplify]: Simplify (* 1 1) into 1
10.865 * [backup-simplify]: Simplify (/ 1 1) into 1
10.865 * [backup-simplify]: Simplify (+ 0 1) into 1
10.865 * [backup-simplify]: Simplify (sqrt 1) into 1
10.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.867 * [backup-simplify]: Simplify (+ 0 0) into 0
10.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.868 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.868 * [taylor]: Taking taylor expansion of re in re
10.868 * [backup-simplify]: Simplify 0 into 0
10.868 * [backup-simplify]: Simplify 1 into 1
10.869 * [backup-simplify]: Simplify (* 1 1) into 1
10.869 * [backup-simplify]: Simplify (/ 1 1) into 1
10.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.869 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.869 * [taylor]: Taking taylor expansion of im in re
10.869 * [backup-simplify]: Simplify im into im
10.869 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.870 * [backup-simplify]: Simplify (+ 1 0) into 1
10.870 * [backup-simplify]: Simplify (sqrt 1) into 1
10.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.873 * [backup-simplify]: Simplify (+ 0 0) into 0
10.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.874 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.874 * [taylor]: Taking taylor expansion of re in re
10.874 * [backup-simplify]: Simplify 0 into 0
10.874 * [backup-simplify]: Simplify 1 into 1
10.874 * [backup-simplify]: Simplify (* 1 1) into 1
10.875 * [backup-simplify]: Simplify (/ 1 1) into 1
10.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.875 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.875 * [taylor]: Taking taylor expansion of im in re
10.875 * [backup-simplify]: Simplify im into im
10.875 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.876 * [backup-simplify]: Simplify (+ 1 0) into 1
10.876 * [backup-simplify]: Simplify (sqrt 1) into 1
10.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.878 * [backup-simplify]: Simplify (+ 0 0) into 0
10.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.879 * [taylor]: Taking taylor expansion of 1 in im
10.879 * [backup-simplify]: Simplify 1 into 1
10.879 * [taylor]: Taking taylor expansion of 0 in im
10.879 * [backup-simplify]: Simplify 0 into 0
10.879 * [backup-simplify]: Simplify 1 into 1
10.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.881 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.883 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.883 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.883 * [taylor]: Taking taylor expansion of 1/2 in im
10.883 * [backup-simplify]: Simplify 1/2 into 1/2
10.883 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.883 * [taylor]: Taking taylor expansion of im in im
10.883 * [backup-simplify]: Simplify 0 into 0
10.883 * [backup-simplify]: Simplify 1 into 1
10.883 * [backup-simplify]: Simplify (* 1 1) into 1
10.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.888 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.891 * [backup-simplify]: Simplify (+ 0 0) into 0
10.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.892 * [taylor]: Taking taylor expansion of 0 in im
10.892 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.895 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.895 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.895 * [taylor]: Taking taylor expansion of re in im
10.895 * [backup-simplify]: Simplify re into re
10.895 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.895 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.895 * [taylor]: Taking taylor expansion of im in im
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify 1 into 1
10.896 * [backup-simplify]: Simplify (* 1 1) into 1
10.896 * [backup-simplify]: Simplify (/ 1 1) into 1
10.896 * [backup-simplify]: Simplify (+ 0 1) into 1
10.897 * [backup-simplify]: Simplify (sqrt 1) into 1
10.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.899 * [backup-simplify]: Simplify (+ 0 0) into 0
10.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.900 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.900 * [taylor]: Taking taylor expansion of re in re
10.900 * [backup-simplify]: Simplify 0 into 0
10.900 * [backup-simplify]: Simplify 1 into 1
10.900 * [backup-simplify]: Simplify (* 1 1) into 1
10.900 * [backup-simplify]: Simplify (/ 1 1) into 1
10.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.900 * [taylor]: Taking taylor expansion of im in re
10.900 * [backup-simplify]: Simplify im into im
10.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.901 * [backup-simplify]: Simplify (+ 1 0) into 1
10.901 * [backup-simplify]: Simplify (sqrt 1) into 1
10.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.902 * [backup-simplify]: Simplify (+ 0 0) into 0
10.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.902 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.903 * [taylor]: Taking taylor expansion of re in re
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 1 into 1
10.903 * [backup-simplify]: Simplify (* 1 1) into 1
10.903 * [backup-simplify]: Simplify (/ 1 1) into 1
10.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.903 * [taylor]: Taking taylor expansion of im in re
10.903 * [backup-simplify]: Simplify im into im
10.903 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.903 * [backup-simplify]: Simplify (+ 1 0) into 1
10.904 * [backup-simplify]: Simplify (sqrt 1) into 1
10.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.905 * [backup-simplify]: Simplify (+ 0 0) into 0
10.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.905 * [taylor]: Taking taylor expansion of 1 in im
10.905 * [backup-simplify]: Simplify 1 into 1
10.905 * [taylor]: Taking taylor expansion of 0 in im
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 1 into 1
10.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.907 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.907 * [taylor]: Taking taylor expansion of 1/2 in im
10.907 * [backup-simplify]: Simplify 1/2 into 1/2
10.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.907 * [taylor]: Taking taylor expansion of im in im
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (* 1 1) into 1
10.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.909 * [backup-simplify]: Simplify 0 into 0
10.909 * [backup-simplify]: Simplify 0 into 0
10.909 * [backup-simplify]: Simplify 0 into 0
10.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.911 * [backup-simplify]: Simplify (+ 0 0) into 0
10.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.911 * [taylor]: Taking taylor expansion of 0 in im
10.911 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.912 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.912 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 1 1)
10.912 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.912 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.913 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.913 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.913 * [taylor]: Taking taylor expansion of im in im
10.913 * [backup-simplify]: Simplify 0 into 0
10.913 * [backup-simplify]: Simplify 1 into 1
10.913 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.913 * [taylor]: Taking taylor expansion of re in im
10.913 * [backup-simplify]: Simplify re into re
10.913 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.913 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.913 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.913 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.913 * [backup-simplify]: Simplify (+ 0 0) into 0
10.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.913 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.913 * [taylor]: Taking taylor expansion of im in re
10.913 * [backup-simplify]: Simplify im into im
10.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.913 * [taylor]: Taking taylor expansion of re in re
10.913 * [backup-simplify]: Simplify 0 into 0
10.913 * [backup-simplify]: Simplify 1 into 1
10.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.914 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.914 * [backup-simplify]: Simplify (+ 0 0) into 0
10.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.914 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.914 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.914 * [taylor]: Taking taylor expansion of im in re
10.914 * [backup-simplify]: Simplify im into im
10.914 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.914 * [taylor]: Taking taylor expansion of re in re
10.914 * [backup-simplify]: Simplify 0 into 0
10.914 * [backup-simplify]: Simplify 1 into 1
10.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.914 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.915 * [backup-simplify]: Simplify (+ 0 0) into 0
10.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.915 * [taylor]: Taking taylor expansion of im in im
10.915 * [backup-simplify]: Simplify 0 into 0
10.915 * [backup-simplify]: Simplify 1 into 1
10.915 * [backup-simplify]: Simplify 0 into 0
10.915 * [taylor]: Taking taylor expansion of 0 in im
10.915 * [backup-simplify]: Simplify 0 into 0
10.915 * [backup-simplify]: Simplify 0 into 0
10.915 * [backup-simplify]: Simplify 1 into 1
10.915 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.916 * [backup-simplify]: Simplify (* 1 1) into 1
10.916 * [backup-simplify]: Simplify (+ 0 1) into 1
10.916 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.916 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.916 * [taylor]: Taking taylor expansion of 1/2 in im
10.916 * [backup-simplify]: Simplify 1/2 into 1/2
10.916 * [taylor]: Taking taylor expansion of im in im
10.916 * [backup-simplify]: Simplify 0 into 0
10.916 * [backup-simplify]: Simplify 1 into 1
10.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.917 * [backup-simplify]: Simplify 0 into 0
10.917 * [backup-simplify]: Simplify 0 into 0
10.917 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.918 * [backup-simplify]: Simplify (+ 0 0) into 0
10.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.919 * [taylor]: Taking taylor expansion of 0 in im
10.919 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.919 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.919 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.919 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.920 * [taylor]: Taking taylor expansion of re in im
10.920 * [backup-simplify]: Simplify re into re
10.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.920 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.920 * [taylor]: Taking taylor expansion of im in im
10.920 * [backup-simplify]: Simplify 0 into 0
10.920 * [backup-simplify]: Simplify 1 into 1
10.920 * [backup-simplify]: Simplify (* 1 1) into 1
10.920 * [backup-simplify]: Simplify (/ 1 1) into 1
10.921 * [backup-simplify]: Simplify (+ 0 1) into 1
10.921 * [backup-simplify]: Simplify (sqrt 1) into 1
10.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.922 * [backup-simplify]: Simplify (+ 0 0) into 0
10.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.922 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.922 * [taylor]: Taking taylor expansion of re in re
10.922 * [backup-simplify]: Simplify 0 into 0
10.922 * [backup-simplify]: Simplify 1 into 1
10.923 * [backup-simplify]: Simplify (* 1 1) into 1
10.923 * [backup-simplify]: Simplify (/ 1 1) into 1
10.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.923 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.923 * [taylor]: Taking taylor expansion of im in re
10.923 * [backup-simplify]: Simplify im into im
10.923 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.923 * [backup-simplify]: Simplify (+ 1 0) into 1
10.924 * [backup-simplify]: Simplify (sqrt 1) into 1
10.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.925 * [backup-simplify]: Simplify (+ 0 0) into 0
10.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.925 * [taylor]: Taking taylor expansion of re in re
10.925 * [backup-simplify]: Simplify 0 into 0
10.925 * [backup-simplify]: Simplify 1 into 1
10.925 * [backup-simplify]: Simplify (* 1 1) into 1
10.926 * [backup-simplify]: Simplify (/ 1 1) into 1
10.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.926 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.926 * [taylor]: Taking taylor expansion of im in re
10.926 * [backup-simplify]: Simplify im into im
10.926 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.926 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.926 * [backup-simplify]: Simplify (+ 1 0) into 1
10.926 * [backup-simplify]: Simplify (sqrt 1) into 1
10.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.927 * [backup-simplify]: Simplify (+ 0 0) into 0
10.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.928 * [taylor]: Taking taylor expansion of 1 in im
10.928 * [backup-simplify]: Simplify 1 into 1
10.928 * [taylor]: Taking taylor expansion of 0 in im
10.928 * [backup-simplify]: Simplify 0 into 0
10.928 * [backup-simplify]: Simplify 1 into 1
10.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.929 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.930 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.930 * [taylor]: Taking taylor expansion of 1/2 in im
10.930 * [backup-simplify]: Simplify 1/2 into 1/2
10.930 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.930 * [taylor]: Taking taylor expansion of im in im
10.930 * [backup-simplify]: Simplify 0 into 0
10.930 * [backup-simplify]: Simplify 1 into 1
10.930 * [backup-simplify]: Simplify (* 1 1) into 1
10.931 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.933 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.934 * [taylor]: Taking taylor expansion of 0 in im
10.934 * [backup-simplify]: Simplify 0 into 0
10.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.935 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.935 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.935 * [taylor]: Taking taylor expansion of re in im
10.935 * [backup-simplify]: Simplify re into re
10.935 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.935 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.936 * [taylor]: Taking taylor expansion of im in im
10.936 * [backup-simplify]: Simplify 0 into 0
10.936 * [backup-simplify]: Simplify 1 into 1
10.936 * [backup-simplify]: Simplify (* 1 1) into 1
10.936 * [backup-simplify]: Simplify (/ 1 1) into 1
10.936 * [backup-simplify]: Simplify (+ 0 1) into 1
10.937 * [backup-simplify]: Simplify (sqrt 1) into 1
10.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.938 * [backup-simplify]: Simplify (+ 0 0) into 0
10.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.938 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.938 * [taylor]: Taking taylor expansion of re in re
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 1 into 1
10.938 * [backup-simplify]: Simplify (* 1 1) into 1
10.939 * [backup-simplify]: Simplify (/ 1 1) into 1
10.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.939 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.939 * [taylor]: Taking taylor expansion of im in re
10.939 * [backup-simplify]: Simplify im into im
10.939 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.939 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.939 * [backup-simplify]: Simplify (+ 1 0) into 1
10.939 * [backup-simplify]: Simplify (sqrt 1) into 1
10.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.940 * [backup-simplify]: Simplify (+ 0 0) into 0
10.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.941 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.941 * [taylor]: Taking taylor expansion of re in re
10.941 * [backup-simplify]: Simplify 0 into 0
10.941 * [backup-simplify]: Simplify 1 into 1
10.941 * [backup-simplify]: Simplify (* 1 1) into 1
10.941 * [backup-simplify]: Simplify (/ 1 1) into 1
10.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.942 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.942 * [taylor]: Taking taylor expansion of im in re
10.942 * [backup-simplify]: Simplify im into im
10.942 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.942 * [backup-simplify]: Simplify (+ 1 0) into 1
10.942 * [backup-simplify]: Simplify (sqrt 1) into 1
10.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.943 * [backup-simplify]: Simplify (+ 0 0) into 0
10.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.944 * [taylor]: Taking taylor expansion of 1 in im
10.944 * [backup-simplify]: Simplify 1 into 1
10.944 * [taylor]: Taking taylor expansion of 0 in im
10.944 * [backup-simplify]: Simplify 0 into 0
10.944 * [backup-simplify]: Simplify 1 into 1
10.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.945 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.946 * [taylor]: Taking taylor expansion of 1/2 in im
10.946 * [backup-simplify]: Simplify 1/2 into 1/2
10.946 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.946 * [taylor]: Taking taylor expansion of im in im
10.946 * [backup-simplify]: Simplify 0 into 0
10.946 * [backup-simplify]: Simplify 1 into 1
10.946 * [backup-simplify]: Simplify (* 1 1) into 1
10.946 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.947 * [backup-simplify]: Simplify 0 into 0
10.947 * [backup-simplify]: Simplify 0 into 0
10.947 * [backup-simplify]: Simplify 0 into 0
10.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.949 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.949 * [backup-simplify]: Simplify (+ 0 0) into 0
10.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.950 * [taylor]: Taking taylor expansion of 0 in im
10.950 * [backup-simplify]: Simplify 0 into 0
10.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.951 * [backup-simplify]: Simplify 0 into 0
10.951 * [backup-simplify]: Simplify 0 into 0
10.951 * [backup-simplify]: Simplify 0 into 0
10.951 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
10.951 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im)
10.951 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
10.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
10.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.951 * [taylor]: Taking taylor expansion of 2.0 in im
10.951 * [backup-simplify]: Simplify 2.0 into 2.0
10.951 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.952 * [taylor]: Taking taylor expansion of im in im
10.952 * [backup-simplify]: Simplify 0 into 0
10.952 * [backup-simplify]: Simplify 1 into 1
10.952 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
10.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.952 * [taylor]: Taking taylor expansion of 2.0 in im
10.952 * [backup-simplify]: Simplify 2.0 into 2.0
10.952 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.953 * [taylor]: Taking taylor expansion of im in im
10.953 * [backup-simplify]: Simplify 0 into 0
10.953 * [backup-simplify]: Simplify 1 into 1
10.953 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.953 * [backup-simplify]: Simplify 0 into 0
10.954 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
10.955 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.955 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.956 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
10.956 * [backup-simplify]: Simplify 0 into 0
10.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.957 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.957 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.959 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
10.959 * [backup-simplify]: Simplify 0 into 0
10.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.962 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
10.962 * [backup-simplify]: Simplify 0 into 0
10.964 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.965 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
10.965 * [backup-simplify]: Simplify 0 into 0
10.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.968 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
10.969 * [backup-simplify]: Simplify 0 into 0
10.969 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
10.969 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im)
10.969 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
10.969 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.969 * [taylor]: Taking taylor expansion of 2.0 in im
10.969 * [backup-simplify]: Simplify 2.0 into 2.0
10.970 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.970 * [taylor]: Taking taylor expansion of im in im
10.970 * [backup-simplify]: Simplify 0 into 0
10.970 * [backup-simplify]: Simplify 1 into 1
10.971 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.971 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.971 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.971 * [taylor]: Taking taylor expansion of 2.0 in im
10.971 * [backup-simplify]: Simplify 2.0 into 2.0
10.972 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.972 * [taylor]: Taking taylor expansion of im in im
10.973 * [backup-simplify]: Simplify 0 into 0
10.973 * [backup-simplify]: Simplify 1 into 1
10.973 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.974 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.975 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.977 * [backup-simplify]: Simplify 0 into 0
10.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.979 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.982 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.984 * [backup-simplify]: Simplify 0 into 0
10.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.987 * [backup-simplify]: Simplify 0 into 0
10.987 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
10.988 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im)
10.988 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
10.988 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.988 * [taylor]: Taking taylor expansion of 2.0 in im
10.988 * [backup-simplify]: Simplify 2.0 into 2.0
10.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.989 * [taylor]: Taking taylor expansion of im in im
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [backup-simplify]: Simplify 1 into 1
10.990 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.990 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.990 * [taylor]: Taking taylor expansion of 2.0 in im
10.990 * [backup-simplify]: Simplify 2.0 into 2.0
10.991 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.991 * [taylor]: Taking taylor expansion of im in im
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 1 into 1
10.992 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.993 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.994 * [backup-simplify]: Simplify 0 into 0
10.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.998 * [backup-simplify]: Simplify 0 into 0
10.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.000 * [backup-simplify]: Simplify 0 into 0
11.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.003 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.005 * [backup-simplify]: Simplify 0 into 0
11.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.008 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
11.008 * * * [progress]: simplifying candidates
11.010 * [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 (* 2.0 (* im im))))
  (exp (sqrt (* 2.0 (* im im))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (cbrt (sqrt (* 2.0 (* im im))))
  (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im))))
  (sqrt 2.0)
  (sqrt (* im im))
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (* im im))))
  (sqrt (sqrt (* 2.0 (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
11.011 * * [simplify]: iteration 0: 52 enodes
11.028 * * [simplify]: iteration 1: 115 enodes
11.051 * * [simplify]: iteration 2: 239 enodes
11.140 * * [simplify]: iteration 3: 465 enodes
11.317 * * [simplify]: iteration 4: 1076 enodes
12.078 * * [simplify]: iteration 5: 3239 enodes
13.325 * * [simplify]: iteration complete: 5000 enodes
13.325 * * [simplify]: Extracting #0: cost 28 inf + 0
13.326 * * [simplify]: Extracting #1: cost 62 inf + 45
13.327 * * [simplify]: Extracting #2: cost 179 inf + 497
13.333 * * [simplify]: Extracting #3: cost 785 inf + 6133
13.365 * * [simplify]: Extracting #4: cost 687 inf + 89447
13.421 * * [simplify]: Extracting #5: cost 376 inf + 184409
13.514 * * [simplify]: Extracting #6: cost 196 inf + 268076
13.587 * * [simplify]: Extracting #7: cost 71 inf + 333037
13.651 * * [simplify]: Extracting #8: cost 11 inf + 357408
13.736 * * [simplify]: Extracting #9: cost 0 inf + 360631
13.811 * [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)) (* (- (* re re) (* im im)) (* im im))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (- (* (* re re) (* re re)) (* (- (* re re) (* im im)) (* im im))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (- (* (* re re) (* re re)) (* (- (* re re) (* im im)) (* im im))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (* (sqrt (* (* im im) 2.0)) (* (* im im) 2.0))
  (sqrt 2.0)
  (fabs im)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (* im (sqrt 2.0))
  (* im (sqrt 2.0))
  (* (sqrt 2.0) (- im))
13.821 * * * [progress]: adding candidates to table
14.392 * [progress]: [Phase 3 of 3] Extracting.
14.392 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.395 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) im re)
14.395 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.527 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>)
14.613 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.710 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.827 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.951 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
15.112 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
15.215 * * * [regime]: Found split indices: #<option (#s(si 5 38) #s(si 2 117) #s(si 7 214) #s(si 1 255))>
15.216 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
15.428 * [regimes]: Found splitpoints: (#s(sp 5 re -1.2522334126502323e+106) #s(sp 2 re 2.87148784553548e-309) #s(sp 7 re 1.1984894250054891e+97) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re 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 (* im im))) (sqrt (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
15.429 * [simplify]: Simplifying:
  (if (<= re -1.2522334126502323e+106) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re)))) (if (<= re 2.87148784553548e-309) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 1.1984894250054891e+97) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
15.429 * * [simplify]: iteration 0: 38 enodes
15.433 * * [simplify]: iteration 1: 48 enodes
15.436 * * [simplify]: iteration complete: 48 enodes
15.436 * * [simplify]: Extracting #0: cost 1 inf + 0
15.436 * * [simplify]: Extracting #1: cost 4 inf + 0
15.436 * * [simplify]: Extracting #2: cost 11 inf + 0
15.436 * * [simplify]: Extracting #3: cost 15 inf + 3
15.436 * * [simplify]: Extracting #4: cost 18 inf + 138
15.436 * * [simplify]: Extracting #5: cost 22 inf + 206
15.437 * * [simplify]: Extracting #6: cost 24 inf + 208
15.437 * * [simplify]: Extracting #7: cost 21 inf + 456
15.437 * * [simplify]: Extracting #8: cost 16 inf + 1515
15.438 * * [simplify]: Extracting #9: cost 15 inf + 1556
15.438 * * [simplify]: Extracting #10: cost 14 inf + 1678
15.439 * * [simplify]: Extracting #11: cost 12 inf + 2042
15.440 * * [simplify]: Extracting #12: cost 9 inf + 2770
15.441 * * [simplify]: Extracting #13: cost 6 inf + 3699
15.442 * * [simplify]: Extracting #14: cost 4 inf + 4426
15.443 * * [simplify]: Extracting #15: cost 2 inf + 5525
15.445 * * [simplify]: Extracting #16: cost 0 inf + 7909
15.464 * [simplify]: Simplified to:
  (if (<= re -1.2522334126502323e+106) (* (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re))) 0.5) (if (<= re 2.87148784553548e-309) (* (sqrt (/ (* (* im im) 2.0) (- (sqrt (+ (* im im) (* re re))) re))) 0.5) (if (<= re 1.1984894250054891e+97) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
19.155 * [regime-testing]: Baseline error score: 39.055896639896325
19.173 * [regime-testing]: Oracle error score: 10.148255619707205
19.199 * [regime-testing]: End program error score: 23.023996794673977
19.381 * [regime-testing]: Target error score: 33.785596205857914