24.743 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.033 * * * [progress]: [2/2] Setting up program.
0.035 * [progress]: [Phase 2 of 3] Improving.
0.035 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.067 * * [progress]: iteration 1 / 4
0.067 * * * [progress]: picking best candidate
0.070 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.070 * * * [progress]: localizing error
0.082 * * * [progress]: generating rewritten candidates
0.082 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.090 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.162 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.201 * * * [progress]: generating series expansions
0.201 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.201 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.202 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.202 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.202 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.202 * [taylor]: Taking taylor expansion of re in im
0.202 * [backup-simplify]: Simplify re into re
0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.202 * [taylor]: Taking taylor expansion of im in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.202 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.202 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.202 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.203 * [taylor]: Taking taylor expansion of re in re
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.203 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.203 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.204 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.204 * [taylor]: Taking taylor expansion of re in re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.204 * [taylor]: Taking taylor expansion of im in re
0.204 * [backup-simplify]: Simplify im into im
0.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.204 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.204 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.205 * [taylor]: Taking taylor expansion of im in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [taylor]: Taking taylor expansion of 0 in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.206 * [backup-simplify]: Simplify (+ 1 0) into 1
0.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.206 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.206 * [taylor]: Taking taylor expansion of 1/2 in im
0.206 * [backup-simplify]: Simplify 1/2 into 1/2
0.206 * [taylor]: Taking taylor expansion of im in im
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.210 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.210 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.210 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.210 * [taylor]: Taking taylor expansion of im in im
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.210 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.210 * [taylor]: Taking taylor expansion of re in im
0.210 * [backup-simplify]: Simplify re into re
0.210 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.211 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.211 * [backup-simplify]: Simplify (+ 1 0) into 1
0.211 * [backup-simplify]: Simplify (sqrt 1) into 1
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.214 * [backup-simplify]: Simplify (/ 1 1) into 1
0.214 * [backup-simplify]: Simplify (+ 0 1) into 1
0.214 * [backup-simplify]: Simplify (sqrt 1) into 1
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.216 * [taylor]: Taking taylor expansion of im in re
0.216 * [backup-simplify]: Simplify im into im
0.216 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.217 * [taylor]: Taking taylor expansion of re in re
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [backup-simplify]: Simplify (+ 0 1) into 1
0.218 * [backup-simplify]: Simplify (sqrt 1) into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.221 * [taylor]: Taking taylor expansion of 1 in im
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [taylor]: Taking taylor expansion of 0 in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.225 * [taylor]: Taking taylor expansion of 1/2 in im
0.225 * [backup-simplify]: Simplify 1/2 into 1/2
0.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.225 * [taylor]: Taking taylor expansion of im in im
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.234 * [taylor]: Taking taylor expansion of 0 in im
0.234 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.236 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.237 * [taylor]: Taking taylor expansion of im in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (/ 1 1) into 1
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.238 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.238 * [taylor]: Taking taylor expansion of re in im
0.238 * [backup-simplify]: Simplify re into re
0.238 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.238 * [backup-simplify]: Simplify (+ 1 0) into 1
0.239 * [backup-simplify]: Simplify (sqrt 1) into 1
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.241 * [taylor]: Taking taylor expansion of im in re
0.241 * [backup-simplify]: Simplify im into im
0.242 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.242 * [taylor]: Taking taylor expansion of re in re
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.243 * [backup-simplify]: Simplify (/ 1 1) into 1
0.243 * [backup-simplify]: Simplify (+ 0 1) into 1
0.244 * [backup-simplify]: Simplify (sqrt 1) into 1
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.246 * [taylor]: Taking taylor expansion of im in re
0.247 * [backup-simplify]: Simplify im into im
0.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
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 (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [backup-simplify]: Simplify (+ 0 1) into 1
0.249 * [backup-simplify]: Simplify (sqrt 1) into 1
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.251 * [taylor]: Taking taylor expansion of 1 in im
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of 0 in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.591 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.591 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.591 * [taylor]: Taking taylor expansion of 1/2 in im
0.591 * [backup-simplify]: Simplify 1/2 into 1/2
0.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.591 * [taylor]: Taking taylor expansion of im in im
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.592 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.597 * [taylor]: Taking taylor expansion of 0 in im
0.597 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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
0.600 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.600 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.600 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.600 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.600 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.600 * [taylor]: Taking taylor expansion of re in im
0.600 * [backup-simplify]: Simplify re into re
0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.600 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.600 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.600 * [taylor]: Taking taylor expansion of re in im
0.600 * [backup-simplify]: Simplify re into re
0.600 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.600 * [taylor]: Taking taylor expansion of im in im
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify 1 into 1
0.600 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.601 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.601 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.601 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.601 * [backup-simplify]: Simplify (+ 0 0) into 0
0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.602 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.602 * [taylor]: Taking taylor expansion of re in re
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 1 into 1
0.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.602 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.602 * [taylor]: Taking taylor expansion of re in re
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 1 into 1
0.602 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.602 * [taylor]: Taking taylor expansion of im in re
0.602 * [backup-simplify]: Simplify im into im
0.602 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.602 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.602 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.603 * [backup-simplify]: Simplify (+ 0 0) into 0
0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.603 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.603 * [taylor]: Taking taylor expansion of re in re
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.603 * [taylor]: Taking taylor expansion of re in re
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.603 * [taylor]: Taking taylor expansion of im in re
0.603 * [backup-simplify]: Simplify im into im
0.603 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.603 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.604 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.604 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.604 * [backup-simplify]: Simplify (+ 0 im) into im
0.604 * [taylor]: Taking taylor expansion of im in im
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify 1 into 1
0.604 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify (+ 1 0) into 1
0.605 * [taylor]: Taking taylor expansion of 1 in im
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify (* 1 1) into 1
0.606 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.606 * [backup-simplify]: Simplify (+ 1 0) into 1
0.607 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.607 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.607 * [taylor]: Taking taylor expansion of 1/2 in im
0.607 * [backup-simplify]: Simplify 1/2 into 1/2
0.607 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.607 * [taylor]: Taking taylor expansion of im in im
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.608 * [backup-simplify]: Simplify (/ 1 1) into 1
0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.611 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.611 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [taylor]: Taking taylor expansion of 0 in im
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.615 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.615 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.615 * [taylor]: Taking taylor expansion of re in im
0.615 * [backup-simplify]: Simplify re into re
0.615 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.615 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.615 * [taylor]: Taking taylor expansion of im in im
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 1 into 1
0.615 * [backup-simplify]: Simplify (* 1 1) into 1
0.616 * [backup-simplify]: Simplify (/ 1 1) into 1
0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.616 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.616 * [taylor]: Taking taylor expansion of re in im
0.616 * [backup-simplify]: Simplify re into re
0.616 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.616 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.617 * [backup-simplify]: Simplify (+ 1 0) into 1
0.617 * [backup-simplify]: Simplify (sqrt 1) into 1
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.620 * [taylor]: Taking taylor expansion of re in re
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (/ 1 1) into 1
0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.620 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.620 * [taylor]: Taking taylor expansion of im in re
0.620 * [backup-simplify]: Simplify im into im
0.620 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.621 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.621 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.621 * [taylor]: Taking taylor expansion of re in re
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (* 1 1) into 1
0.622 * [backup-simplify]: Simplify (/ 1 1) into 1
0.622 * [backup-simplify]: Simplify (+ 0 1) into 1
0.622 * [backup-simplify]: Simplify (sqrt 1) into 1
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ 0 0) into 0
0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.625 * [taylor]: Taking taylor expansion of re in re
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (/ 1 1) into 1
0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.626 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.626 * [taylor]: Taking taylor expansion of im in re
0.626 * [backup-simplify]: Simplify im into im
0.626 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.626 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.626 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.626 * [taylor]: Taking taylor expansion of re in re
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 1 into 1
0.627 * [backup-simplify]: Simplify (* 1 1) into 1
0.627 * [backup-simplify]: Simplify (/ 1 1) into 1
0.627 * [backup-simplify]: Simplify (+ 0 1) into 1
0.628 * [backup-simplify]: Simplify (sqrt 1) into 1
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.630 * [backup-simplify]: Simplify (+ 0 0) into 0
0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.631 * [backup-simplify]: Simplify (+ 1 1) into 2
0.631 * [taylor]: Taking taylor expansion of 2 in im
0.631 * [backup-simplify]: Simplify 2 into 2
0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.632 * [taylor]: Taking taylor expansion of 0 in im
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify 2 into 2
0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.636 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.637 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.637 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.637 * [taylor]: Taking taylor expansion of 1/2 in im
0.637 * [backup-simplify]: Simplify 1/2 into 1/2
0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.637 * [taylor]: Taking taylor expansion of (pow im 2) 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 (+ (* 1 0) (* 0 1)) into 0
0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.645 * [backup-simplify]: Simplify (+ 0 0) into 0
0.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.646 * [backup-simplify]: Simplify (+ 0 0) into 0
0.646 * [taylor]: Taking taylor expansion of 0 in im
0.646 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.650 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.650 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.650 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.650 * [taylor]: Taking taylor expansion of im in im
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [backup-simplify]: Simplify (* 1 1) into 1
0.651 * [backup-simplify]: Simplify (/ 1 1) into 1
0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.651 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.651 * [taylor]: Taking taylor expansion of re in im
0.651 * [backup-simplify]: Simplify re into re
0.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.651 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.652 * [backup-simplify]: Simplify (+ 1 0) into 1
0.652 * [backup-simplify]: Simplify (sqrt 1) into 1
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.655 * [taylor]: Taking taylor expansion of re in im
0.655 * [backup-simplify]: Simplify re into re
0.655 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.655 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.655 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.655 * [taylor]: Taking taylor expansion of im in re
0.655 * [backup-simplify]: Simplify im into im
0.655 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.655 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.655 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.655 * [taylor]: Taking taylor expansion of re in re
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 1 into 1
0.656 * [backup-simplify]: Simplify (* 1 1) into 1
0.656 * [backup-simplify]: Simplify (/ 1 1) into 1
0.657 * [backup-simplify]: Simplify (+ 0 1) into 1
0.657 * [backup-simplify]: Simplify (sqrt 1) into 1
0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.659 * [backup-simplify]: Simplify (+ 0 0) into 0
0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.660 * [taylor]: Taking taylor expansion of re in re
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (/ 1 1) into 1
0.661 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.661 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.661 * [taylor]: Taking taylor expansion of im in re
0.661 * [backup-simplify]: Simplify im into im
0.661 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.661 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.661 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.661 * [taylor]: Taking taylor expansion of re in re
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (* 1 1) into 1
0.662 * [backup-simplify]: Simplify (/ 1 1) into 1
0.663 * [backup-simplify]: Simplify (+ 0 1) into 1
0.663 * [backup-simplify]: Simplify (sqrt 1) into 1
0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.665 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.666 * [taylor]: Taking taylor expansion of re in re
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 1 into 1
0.666 * [backup-simplify]: Simplify (/ 1 1) into 1
0.667 * [backup-simplify]: Simplify (- 1) into -1
0.667 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.667 * [taylor]: Taking taylor expansion of 0 in im
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.668 * [backup-simplify]: Simplify (- 0) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [taylor]: Taking taylor expansion of 0 in im
0.669 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.671 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.673 * [backup-simplify]: Simplify (- 0) into 0
0.674 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.674 * [taylor]: Taking taylor expansion of 1/2 in im
0.674 * [backup-simplify]: Simplify 1/2 into 1/2
0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.674 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.674 * [taylor]: Taking taylor expansion of im in im
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 1 into 1
0.674 * [backup-simplify]: Simplify (* 1 1) into 1
0.675 * [backup-simplify]: Simplify (/ 1 1) into 1
0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.682 * [backup-simplify]: Simplify (- 0) into 0
0.683 * [backup-simplify]: Simplify (+ 0 0) into 0
0.683 * [taylor]: Taking taylor expansion of 0 in im
0.683 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.686 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
0.686 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.686 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.687 * [taylor]: Taking taylor expansion of 2.0 in im
0.687 * [backup-simplify]: Simplify 2.0 into 2.0
0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.688 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.688 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.688 * [taylor]: Taking taylor expansion of re in im
0.688 * [backup-simplify]: Simplify re into re
0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.688 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.688 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.688 * [taylor]: Taking taylor expansion of re in im
0.688 * [backup-simplify]: Simplify re into re
0.688 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.688 * [taylor]: Taking taylor expansion of im in im
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 1 into 1
0.688 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.688 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.689 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.689 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.689 * [backup-simplify]: Simplify (+ 0 0) into 0
0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.689 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.690 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.690 * [backup-simplify]: Simplify (+ 0 0) into 0
0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.690 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.690 * [taylor]: Taking taylor expansion of 2.0 in re
0.690 * [backup-simplify]: Simplify 2.0 into 2.0
0.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.692 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.692 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.692 * [taylor]: Taking taylor expansion of re in re
0.692 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify 1 into 1
0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.692 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.692 * [taylor]: Taking taylor expansion of re in re
0.692 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify 1 into 1
0.692 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.692 * [taylor]: Taking taylor expansion of im in re
0.692 * [backup-simplify]: Simplify im into im
0.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.692 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.693 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.693 * [backup-simplify]: Simplify (+ 0 0) into 0
0.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.693 * [backup-simplify]: Simplify (+ 0 im) into im
0.693 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.694 * [backup-simplify]: Simplify (+ 1 0) into 1
0.694 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.694 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.694 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.694 * [taylor]: Taking taylor expansion of 2.0 in re
0.694 * [backup-simplify]: Simplify 2.0 into 2.0
0.695 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.695 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.696 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.696 * [taylor]: Taking taylor expansion of re in re
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.696 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.696 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.696 * [taylor]: Taking taylor expansion of re in re
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.696 * [taylor]: Taking taylor expansion of im in re
0.696 * [backup-simplify]: Simplify im into im
0.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.696 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.696 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.696 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.697 * [backup-simplify]: Simplify (+ 0 0) into 0
0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.697 * [backup-simplify]: Simplify (+ 0 im) into im
0.697 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.698 * [backup-simplify]: Simplify (+ 1 0) into 1
0.698 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.698 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.698 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.698 * [taylor]: Taking taylor expansion of 2.0 in im
0.698 * [backup-simplify]: Simplify 2.0 into 2.0
0.699 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.700 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.700 * [taylor]: Taking taylor expansion of im in im
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (sqrt 0) into 0
0.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.702 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.702 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.702 * [taylor]: Taking taylor expansion of 1/2 in im
0.702 * [backup-simplify]: Simplify 1/2 into 1/2
0.702 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.702 * [taylor]: Taking taylor expansion of 2.0 in im
0.702 * [backup-simplify]: Simplify 2.0 into 2.0
0.702 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.703 * [taylor]: Taking taylor expansion of im in im
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.703 * [backup-simplify]: Simplify (/ 1 1) into 1
0.704 * [backup-simplify]: Simplify (sqrt 0) into 0
0.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.706 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.706 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.708 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.709 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.711 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.712 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.712 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.712 * [backup-simplify]: Simplify (+ 1 0) into 1
0.713 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.713 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.713 * [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))))
0.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.715 * [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)))))
0.715 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.715 * [taylor]: Taking taylor expansion of 1/8 in im
0.715 * [backup-simplify]: Simplify 1/8 into 1/8
0.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.715 * [taylor]: Taking taylor expansion of 2.0 in im
0.715 * [backup-simplify]: Simplify 2.0 into 2.0
0.715 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.716 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.716 * [taylor]: Taking taylor expansion of im in im
0.716 * [backup-simplify]: Simplify 0 into 0
0.716 * [backup-simplify]: Simplify 1 into 1
0.716 * [backup-simplify]: Simplify (* 1 1) into 1
0.716 * [backup-simplify]: Simplify (* 1 1) into 1
0.716 * [backup-simplify]: Simplify (/ 1 1) into 1
0.717 * [backup-simplify]: Simplify (sqrt 0) into 0
0.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.723 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.725 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.725 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.734 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.736 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.742 * [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)))))))
0.743 * [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 im 2)) (/ 1 (pow re 2)))))))
0.743 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
0.743 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.743 * [taylor]: Taking taylor expansion of 2.0 in im
0.743 * [backup-simplify]: Simplify 2.0 into 2.0
0.744 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.745 * [taylor]: Taking taylor expansion of re in im
0.745 * [backup-simplify]: Simplify re into re
0.745 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.745 * [taylor]: Taking taylor expansion of im in im
0.745 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify 1 into 1
0.745 * [backup-simplify]: Simplify (* 1 1) into 1
0.746 * [backup-simplify]: Simplify (/ 1 1) into 1
0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.746 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.746 * [taylor]: Taking taylor expansion of re in im
0.746 * [backup-simplify]: Simplify re into re
0.746 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.746 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.747 * [backup-simplify]: Simplify (+ 1 0) into 1
0.747 * [backup-simplify]: Simplify (sqrt 1) into 1
0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ 0 0) into 0
0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.750 * [backup-simplify]: Simplify (+ 0 1) into 1
0.750 * [backup-simplify]: Simplify (sqrt 0) into 0
0.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.752 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.752 * [taylor]: Taking taylor expansion of 2.0 in re
0.752 * [backup-simplify]: Simplify 2.0 into 2.0
0.752 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.753 * [taylor]: Taking taylor expansion of re in re
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify (/ 1 1) into 1
0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.753 * [taylor]: Taking taylor expansion of im in re
0.753 * [backup-simplify]: Simplify im into im
0.753 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.753 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.753 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.754 * [taylor]: Taking taylor expansion of re in re
0.754 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify 1 into 1
0.754 * [backup-simplify]: Simplify (* 1 1) into 1
0.754 * [backup-simplify]: Simplify (/ 1 1) into 1
0.754 * [backup-simplify]: Simplify (+ 0 1) into 1
0.755 * [backup-simplify]: Simplify (sqrt 1) into 1
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (+ 0 0) into 0
0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.756 * [backup-simplify]: Simplify (+ 1 1) into 2
0.756 * [backup-simplify]: Simplify (sqrt 0) into 0
0.757 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.757 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.757 * [taylor]: Taking taylor expansion of 2.0 in re
0.757 * [backup-simplify]: Simplify 2.0 into 2.0
0.758 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.758 * [taylor]: Taking taylor expansion of re in re
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (/ 1 1) into 1
0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.759 * [taylor]: Taking taylor expansion of im in re
0.759 * [backup-simplify]: Simplify im into im
0.759 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.759 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.759 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.759 * [taylor]: Taking taylor expansion of re in re
0.759 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify 1 into 1
0.759 * [backup-simplify]: Simplify (* 1 1) into 1
0.759 * [backup-simplify]: Simplify (/ 1 1) into 1
0.760 * [backup-simplify]: Simplify (+ 0 1) into 1
0.760 * [backup-simplify]: Simplify (sqrt 1) into 1
0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.762 * [backup-simplify]: Simplify (+ 1 1) into 2
0.762 * [backup-simplify]: Simplify (sqrt 0) into 0
0.763 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.763 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.763 * [taylor]: Taking taylor expansion of 0 in im
0.763 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.764 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.764 * [taylor]: Taking taylor expansion of +nan.0 in im
0.764 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.764 * [taylor]: Taking taylor expansion of 2.0 in im
0.764 * [backup-simplify]: Simplify 2.0 into 2.0
0.765 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.765 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.766 * [backup-simplify]: Simplify (+ 0 0) into 0
0.768 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.770 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.770 * [taylor]: Taking taylor expansion of +nan.0 in im
0.770 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.770 * [taylor]: Taking taylor expansion of 2.0 in im
0.770 * [backup-simplify]: Simplify 2.0 into 2.0
0.770 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.771 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.772 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.773 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.773 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.776 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.776 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.777 * [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))
0.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.779 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.779 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.779 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.779 * [taylor]: Taking taylor expansion of +nan.0 in im
0.779 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.779 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.779 * [taylor]: Taking taylor expansion of 2.0 in im
0.779 * [backup-simplify]: Simplify 2.0 into 2.0
0.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.780 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.780 * [taylor]: Taking taylor expansion of im in im
0.780 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify 1 into 1
0.780 * [backup-simplify]: Simplify (* 1 1) into 1
0.781 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.781 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.781 * [taylor]: Taking taylor expansion of +nan.0 in im
0.781 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.781 * [taylor]: Taking taylor expansion of 2.0 in im
0.781 * [backup-simplify]: Simplify 2.0 into 2.0
0.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.785 * [backup-simplify]: Simplify (+ 0 0) into 0
0.786 * [backup-simplify]: Simplify (- 0) into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.788 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.790 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.791 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.791 * [backup-simplify]: Simplify (- 0) into 0
0.791 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.797 * [backup-simplify]: Simplify (+ 0 0) into 0
0.798 * [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)))
0.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.802 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.802 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.802 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.802 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.802 * [taylor]: Taking taylor expansion of +nan.0 in im
0.802 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.803 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.803 * [taylor]: Taking taylor expansion of 2.0 in im
0.803 * [backup-simplify]: Simplify 2.0 into 2.0
0.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.804 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.804 * [taylor]: Taking taylor expansion of im in im
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify (* 1 1) into 1
0.805 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.805 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.805 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.805 * [taylor]: Taking taylor expansion of +nan.0 in im
0.805 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.806 * [taylor]: Taking taylor expansion of 2.0 in im
0.806 * [backup-simplify]: Simplify 2.0 into 2.0
0.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.810 * [backup-simplify]: Simplify (+ 0 0) into 0
0.810 * [backup-simplify]: Simplify (- 0) into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.815 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.816 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.818 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.821 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.823 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.825 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.830 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.831 * [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 im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
0.831 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
0.831 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.831 * [taylor]: Taking taylor expansion of 2.0 in im
0.831 * [backup-simplify]: Simplify 2.0 into 2.0
0.831 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.832 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.832 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.832 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.832 * [taylor]: Taking taylor expansion of im in im
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.833 * [backup-simplify]: Simplify (* 1 1) into 1
0.833 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.833 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.833 * [taylor]: Taking taylor expansion of re in im
0.833 * [backup-simplify]: Simplify re into re
0.833 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.834 * [backup-simplify]: Simplify (+ 1 0) into 1
0.834 * [backup-simplify]: Simplify (sqrt 1) into 1
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.837 * [backup-simplify]: Simplify (+ 0 0) into 0
0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.837 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.837 * [taylor]: Taking taylor expansion of re in im
0.837 * [backup-simplify]: Simplify re into re
0.838 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.838 * [backup-simplify]: Simplify (+ 1 0) into 1
0.838 * [backup-simplify]: Simplify (sqrt 0) into 0
0.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.840 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.840 * [taylor]: Taking taylor expansion of 2.0 in re
0.840 * [backup-simplify]: Simplify 2.0 into 2.0
0.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.842 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.842 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.842 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.842 * [taylor]: Taking taylor expansion of im in re
0.842 * [backup-simplify]: Simplify im into im
0.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.842 * [taylor]: Taking taylor expansion of re in re
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.843 * [backup-simplify]: Simplify (* 1 1) into 1
0.843 * [backup-simplify]: Simplify (/ 1 1) into 1
0.844 * [backup-simplify]: Simplify (+ 0 1) into 1
0.844 * [backup-simplify]: Simplify (sqrt 1) into 1
0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.847 * [taylor]: Taking taylor expansion of re in re
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 1 into 1
0.848 * [backup-simplify]: Simplify (/ 1 1) into 1
0.848 * [backup-simplify]: Simplify (- 1) into -1
0.849 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.850 * [backup-simplify]: Simplify (- 0) into 0
0.850 * [backup-simplify]: Simplify (+ 0 0) into 0
0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.853 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (- 0) into 0
0.856 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.856 * [backup-simplify]: Simplify (sqrt 0) into 0
0.857 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.857 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.857 * [taylor]: Taking taylor expansion of 2.0 in re
0.857 * [backup-simplify]: Simplify 2.0 into 2.0
0.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.858 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.858 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.859 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.859 * [taylor]: Taking taylor expansion of im in re
0.859 * [backup-simplify]: Simplify im into im
0.859 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.859 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.859 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.859 * [taylor]: Taking taylor expansion of re in re
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (* 1 1) into 1
0.860 * [backup-simplify]: Simplify (/ 1 1) into 1
0.861 * [backup-simplify]: Simplify (+ 0 1) into 1
0.861 * [backup-simplify]: Simplify (sqrt 1) into 1
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (+ 0 0) into 0
0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.865 * [taylor]: Taking taylor expansion of re in re
0.865 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify 1 into 1
0.865 * [backup-simplify]: Simplify (/ 1 1) into 1
0.866 * [backup-simplify]: Simplify (- 1) into -1
0.866 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (- 0) into 0
0.868 * [backup-simplify]: Simplify (+ 0 0) into 0
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.870 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (- 0) into 0
0.878 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.879 * [backup-simplify]: Simplify (sqrt 0) into 0
0.880 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.880 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.880 * [taylor]: Taking taylor expansion of 0 in im
0.880 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.881 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.881 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.881 * [taylor]: Taking taylor expansion of +nan.0 in im
0.881 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.882 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.882 * [taylor]: Taking taylor expansion of 2.0 in im
0.882 * [backup-simplify]: Simplify 2.0 into 2.0
0.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.883 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.883 * [taylor]: Taking taylor expansion of im in im
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 1 into 1
0.883 * [backup-simplify]: Simplify (* 1 1) into 1
0.884 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.887 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.887 * [backup-simplify]: Simplify (- 0) into 0
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.890 * [backup-simplify]: Simplify (+ 0 0) into 0
0.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.892 * [backup-simplify]: Simplify (- 0) into 0
0.893 * [backup-simplify]: Simplify (+ 0 0) into 0
0.894 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.896 * [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))))
0.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.896 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.896 * [taylor]: Taking taylor expansion of +nan.0 in im
0.896 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.896 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.896 * [taylor]: Taking taylor expansion of 2.0 in im
0.896 * [backup-simplify]: Simplify 2.0 into 2.0
0.897 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.898 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.898 * [taylor]: Taking taylor expansion of im in im
0.898 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify 1 into 1
0.898 * [backup-simplify]: Simplify (* 1 1) into 1
0.898 * [backup-simplify]: Simplify (* 1 1) into 1
0.899 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.907 * [backup-simplify]: Simplify (- 0) into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.910 * [backup-simplify]: Simplify (- 0) into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.913 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.914 * [backup-simplify]: Simplify (- 0) into 0
0.914 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.915 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.917 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 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))))))
0.917 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.917 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.917 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.917 * [taylor]: Taking taylor expansion of +nan.0 in im
0.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.917 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.917 * [taylor]: Taking taylor expansion of 2.0 in im
0.917 * [backup-simplify]: Simplify 2.0 into 2.0
0.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.918 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.918 * [taylor]: Taking taylor expansion of im in im
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify 1 into 1
0.918 * [backup-simplify]: Simplify (* 1 1) into 1
0.918 * [backup-simplify]: Simplify (* 1 1) into 1
0.919 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.919 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.919 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.919 * [taylor]: Taking taylor expansion of +nan.0 in im
0.919 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.919 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.919 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.919 * [taylor]: Taking taylor expansion of 2.0 in im
0.919 * [backup-simplify]: Simplify 2.0 into 2.0
0.919 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.920 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.920 * [taylor]: Taking taylor expansion of im in im
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 1 into 1
0.920 * [backup-simplify]: Simplify (* 1 1) into 1
0.920 * [backup-simplify]: Simplify (* 1 1) into 1
0.920 * [backup-simplify]: Simplify (* 1 1) into 1
0.921 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.928 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.956 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.956 * [backup-simplify]: Simplify (- 0) into 0
0.957 * [backup-simplify]: Simplify (+ 0 0) into 0
0.957 * [backup-simplify]: Simplify (- 0) into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * * * [progress]: simplifying candidates
0.958 * [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)
  (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
  (- (+ (* +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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
2.115 * * * [progress]: adding candidates to table
2.372 * * [progress]: iteration 2 / 4
2.372 * * * [progress]: picking best candidate
2.404 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.404 * * * [progress]: localizing error
2.442 * * * [progress]: generating rewritten candidates
2.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
2.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
2.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
2.601 * * * [progress]: generating series expansions
2.601 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.601 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.601 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.601 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.601 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.601 * [taylor]: Taking taylor expansion of re in im
2.601 * [backup-simplify]: Simplify re into re
2.601 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.601 * [taylor]: Taking taylor expansion of im in im
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 1 into 1
2.601 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.602 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.602 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.602 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.603 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.603 * [taylor]: Taking taylor expansion of re in re
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.603 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.603 * [taylor]: Taking taylor expansion of im in re
2.603 * [backup-simplify]: Simplify im into im
2.603 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.603 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.603 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.604 * [backup-simplify]: Simplify (+ 0 0) into 0
2.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.604 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.604 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.604 * [taylor]: Taking taylor expansion of re in re
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 1 into 1
2.604 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.604 * [taylor]: Taking taylor expansion of im in re
2.604 * [backup-simplify]: Simplify im into im
2.604 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.604 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.604 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.605 * [backup-simplify]: Simplify (+ 0 0) into 0
2.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.605 * [taylor]: Taking taylor expansion of im in im
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 1 into 1
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [taylor]: Taking taylor expansion of 0 in im
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 1 into 1
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.606 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.606 * [backup-simplify]: Simplify (+ 1 0) into 1
2.607 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.607 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.607 * [taylor]: Taking taylor expansion of 1/2 in im
2.607 * [backup-simplify]: Simplify 1/2 into 1/2
2.607 * [taylor]: Taking taylor expansion of im in im
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.609 * [backup-simplify]: Simplify (+ 0 0) into 0
2.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.609 * [taylor]: Taking taylor expansion of 0 in im
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.609 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.610 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.610 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.610 * [taylor]: Taking taylor expansion of im in im
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (* 1 1) into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.610 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.610 * [taylor]: Taking taylor expansion of re in im
2.610 * [backup-simplify]: Simplify re into re
2.610 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.611 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.611 * [backup-simplify]: Simplify (+ 1 0) into 1
2.611 * [backup-simplify]: Simplify (sqrt 1) into 1
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.612 * [backup-simplify]: Simplify (+ 0 0) into 0
2.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.613 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.613 * [taylor]: Taking taylor expansion of im in re
2.613 * [backup-simplify]: Simplify im into im
2.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.613 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.613 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.613 * [taylor]: Taking taylor expansion of re in re
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 1 into 1
2.613 * [backup-simplify]: Simplify (* 1 1) into 1
2.614 * [backup-simplify]: Simplify (/ 1 1) into 1
2.614 * [backup-simplify]: Simplify (+ 0 1) into 1
2.614 * [backup-simplify]: Simplify (sqrt 1) into 1
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (+ 0 0) into 0
2.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.616 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.616 * [taylor]: Taking taylor expansion of im in re
2.616 * [backup-simplify]: Simplify im into im
2.616 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.616 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.616 * [taylor]: Taking taylor expansion of re in re
2.616 * [backup-simplify]: Simplify 0 into 0
2.616 * [backup-simplify]: Simplify 1 into 1
2.616 * [backup-simplify]: Simplify (* 1 1) into 1
2.616 * [backup-simplify]: Simplify (/ 1 1) into 1
2.617 * [backup-simplify]: Simplify (+ 0 1) into 1
2.617 * [backup-simplify]: Simplify (sqrt 1) into 1
2.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.618 * [backup-simplify]: Simplify (+ 0 0) into 0
2.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.619 * [taylor]: Taking taylor expansion of 1 in im
2.619 * [backup-simplify]: Simplify 1 into 1
2.619 * [taylor]: Taking taylor expansion of 0 in im
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 1 into 1
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.620 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.621 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.621 * [taylor]: Taking taylor expansion of 1/2 in im
2.621 * [backup-simplify]: Simplify 1/2 into 1/2
2.621 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.621 * [taylor]: Taking taylor expansion of im in im
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 1 into 1
2.621 * [backup-simplify]: Simplify (* 1 1) into 1
2.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.625 * [taylor]: Taking taylor expansion of 0 in im
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.626 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.626 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.626 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.626 * [taylor]: Taking taylor expansion of im in im
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 1 into 1
2.627 * [backup-simplify]: Simplify (* 1 1) into 1
2.627 * [backup-simplify]: Simplify (/ 1 1) into 1
2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.627 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.627 * [taylor]: Taking taylor expansion of re in im
2.627 * [backup-simplify]: Simplify re into re
2.627 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.627 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.627 * [backup-simplify]: Simplify (+ 1 0) into 1
2.628 * [backup-simplify]: Simplify (sqrt 1) into 1
2.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.629 * [backup-simplify]: Simplify (+ 0 0) into 0
2.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.629 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.629 * [taylor]: Taking taylor expansion of im in re
2.629 * [backup-simplify]: Simplify im into im
2.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.630 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.630 * [taylor]: Taking taylor expansion of re in re
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.630 * [backup-simplify]: Simplify (* 1 1) into 1
2.631 * [backup-simplify]: Simplify (/ 1 1) into 1
2.631 * [backup-simplify]: Simplify (+ 0 1) into 1
2.631 * [backup-simplify]: Simplify (sqrt 1) into 1
2.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.633 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.633 * [taylor]: Taking taylor expansion of im in re
2.633 * [backup-simplify]: Simplify im into im
2.633 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.633 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.633 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.633 * [taylor]: Taking taylor expansion of re in re
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [backup-simplify]: Simplify (* 1 1) into 1
2.633 * [backup-simplify]: Simplify (/ 1 1) into 1
2.634 * [backup-simplify]: Simplify (+ 0 1) into 1
2.634 * [backup-simplify]: Simplify (sqrt 1) into 1
2.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.635 * [backup-simplify]: Simplify (+ 0 0) into 0
2.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.636 * [taylor]: Taking taylor expansion of 1 in im
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [taylor]: Taking taylor expansion of 0 in im
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.637 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.639 * [taylor]: Taking taylor expansion of 1/2 in im
2.639 * [backup-simplify]: Simplify 1/2 into 1/2
2.639 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.639 * [taylor]: Taking taylor expansion of im in im
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 1 into 1
2.639 * [backup-simplify]: Simplify (* 1 1) into 1
2.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.645 * [taylor]: Taking taylor expansion of 0 in im
2.645 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.653 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
2.653 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.653 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.653 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.654 * [taylor]: Taking taylor expansion of re in im
2.654 * [backup-simplify]: Simplify re into re
2.654 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.654 * [taylor]: Taking taylor expansion of im in im
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify 1 into 1
2.654 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.654 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.654 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.654 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.655 * [backup-simplify]: Simplify (+ 0 0) into 0
2.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.655 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.655 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.655 * [taylor]: Taking taylor expansion of re in re
2.655 * [backup-simplify]: Simplify 0 into 0
2.655 * [backup-simplify]: Simplify 1 into 1
2.656 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.656 * [taylor]: Taking taylor expansion of im in re
2.656 * [backup-simplify]: Simplify im into im
2.656 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.656 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.656 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.656 * [backup-simplify]: Simplify (+ 0 0) into 0
2.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.657 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.657 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.657 * [taylor]: Taking taylor expansion of re in re
2.657 * [backup-simplify]: Simplify 0 into 0
2.657 * [backup-simplify]: Simplify 1 into 1
2.657 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.657 * [taylor]: Taking taylor expansion of im in re
2.657 * [backup-simplify]: Simplify im into im
2.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.657 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.657 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.657 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.658 * [backup-simplify]: Simplify (+ 0 0) into 0
2.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.658 * [taylor]: Taking taylor expansion of im in im
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 1 into 1
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [taylor]: Taking taylor expansion of 0 in im
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (* 1 1) into 1
2.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.660 * [backup-simplify]: Simplify (+ 1 0) into 1
2.660 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.660 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.660 * [taylor]: Taking taylor expansion of 1/2 in im
2.661 * [backup-simplify]: Simplify 1/2 into 1/2
2.661 * [taylor]: Taking taylor expansion of im in im
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 1 into 1
2.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 0 into 0
2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.664 * [taylor]: Taking taylor expansion of 0 in im
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.665 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.665 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.665 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.665 * [taylor]: Taking taylor expansion of im in im
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 1 into 1
2.665 * [backup-simplify]: Simplify (* 1 1) into 1
2.666 * [backup-simplify]: Simplify (/ 1 1) into 1
2.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.666 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.666 * [taylor]: Taking taylor expansion of re in im
2.666 * [backup-simplify]: Simplify re into re
2.666 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.666 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.666 * [backup-simplify]: Simplify (+ 1 0) into 1
2.666 * [backup-simplify]: Simplify (sqrt 1) into 1
2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.667 * [backup-simplify]: Simplify (+ 0 0) into 0
2.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.668 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.668 * [taylor]: Taking taylor expansion of im in re
2.668 * [backup-simplify]: Simplify im into im
2.668 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.668 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.668 * [taylor]: Taking taylor expansion of re in re
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 1 into 1
2.668 * [backup-simplify]: Simplify (* 1 1) into 1
2.669 * [backup-simplify]: Simplify (/ 1 1) into 1
2.669 * [backup-simplify]: Simplify (+ 0 1) into 1
2.669 * [backup-simplify]: Simplify (sqrt 1) into 1
2.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.670 * [backup-simplify]: Simplify (+ 0 0) into 0
2.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.671 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.671 * [taylor]: Taking taylor expansion of im in re
2.671 * [backup-simplify]: Simplify im into im
2.671 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.671 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.671 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.671 * [taylor]: Taking taylor expansion of re in re
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.671 * [backup-simplify]: Simplify (* 1 1) into 1
2.672 * [backup-simplify]: Simplify (/ 1 1) into 1
2.672 * [backup-simplify]: Simplify (+ 0 1) into 1
2.672 * [backup-simplify]: Simplify (sqrt 1) into 1
2.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.674 * [taylor]: Taking taylor expansion of 1 in im
2.674 * [backup-simplify]: Simplify 1 into 1
2.674 * [taylor]: Taking taylor expansion of 0 in im
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify 1 into 1
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.675 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.676 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.676 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.676 * [taylor]: Taking taylor expansion of 1/2 in im
2.676 * [backup-simplify]: Simplify 1/2 into 1/2
2.676 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.676 * [taylor]: Taking taylor expansion of im in im
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.676 * [backup-simplify]: Simplify (* 1 1) into 1
2.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.679 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.679 * [taylor]: Taking taylor expansion of 0 in im
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.681 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.681 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.681 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.681 * [taylor]: Taking taylor expansion of im in im
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [backup-simplify]: Simplify (* 1 1) into 1
2.682 * [backup-simplify]: Simplify (/ 1 1) into 1
2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.682 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.682 * [taylor]: Taking taylor expansion of re in im
2.682 * [backup-simplify]: Simplify re into re
2.682 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.682 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.682 * [backup-simplify]: Simplify (+ 1 0) into 1
2.682 * [backup-simplify]: Simplify (sqrt 1) into 1
2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.683 * [backup-simplify]: Simplify (+ 0 0) into 0
2.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.684 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.684 * [taylor]: Taking taylor expansion of im in re
2.684 * [backup-simplify]: Simplify im into im
2.684 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.684 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.684 * [taylor]: Taking taylor expansion of re in re
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (* 1 1) into 1
2.685 * [backup-simplify]: Simplify (/ 1 1) into 1
2.685 * [backup-simplify]: Simplify (+ 0 1) into 1
2.685 * [backup-simplify]: Simplify (sqrt 1) into 1
2.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.686 * [backup-simplify]: Simplify (+ 0 0) into 0
2.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.687 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.687 * [taylor]: Taking taylor expansion of im in re
2.687 * [backup-simplify]: Simplify im into im
2.687 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.687 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.687 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.687 * [taylor]: Taking taylor expansion of re in re
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 1 into 1
2.687 * [backup-simplify]: Simplify (* 1 1) into 1
2.688 * [backup-simplify]: Simplify (/ 1 1) into 1
2.688 * [backup-simplify]: Simplify (+ 0 1) into 1
2.688 * [backup-simplify]: Simplify (sqrt 1) into 1
2.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (+ 0 0) into 0
2.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.690 * [taylor]: Taking taylor expansion of 1 in im
2.690 * [backup-simplify]: Simplify 1 into 1
2.690 * [taylor]: Taking taylor expansion of 0 in im
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 1 into 1
2.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.691 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.692 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.692 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.692 * [taylor]: Taking taylor expansion of 1/2 in im
2.692 * [backup-simplify]: Simplify 1/2 into 1/2
2.692 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.692 * [taylor]: Taking taylor expansion of im in im
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (* 1 1) into 1
2.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.695 * [backup-simplify]: Simplify (+ 0 0) into 0
2.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.696 * [taylor]: Taking taylor expansion of 0 in im
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
2.698 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.698 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.698 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.698 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.698 * [taylor]: Taking taylor expansion of re in im
2.698 * [backup-simplify]: Simplify re into re
2.698 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.698 * [taylor]: Taking taylor expansion of im in im
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 1 into 1
2.698 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.698 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.699 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.699 * [backup-simplify]: Simplify (+ 0 0) into 0
2.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.699 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.699 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.699 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.699 * [taylor]: Taking taylor expansion of re in re
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.699 * [taylor]: Taking taylor expansion of im in re
2.699 * [backup-simplify]: Simplify im into im
2.700 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.700 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.700 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.701 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.701 * [taylor]: Taking taylor expansion of re in re
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.701 * [taylor]: Taking taylor expansion of im in re
2.701 * [backup-simplify]: Simplify im into im
2.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.701 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.701 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.701 * [backup-simplify]: Simplify (+ 0 0) into 0
2.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.702 * [taylor]: Taking taylor expansion of im in im
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [taylor]: Taking taylor expansion of 0 in im
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify (* 1 1) into 1
2.703 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.703 * [backup-simplify]: Simplify (+ 1 0) into 1
2.704 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.704 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.704 * [taylor]: Taking taylor expansion of 1/2 in im
2.704 * [backup-simplify]: Simplify 1/2 into 1/2
2.704 * [taylor]: Taking taylor expansion of im in im
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.707 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.707 * [taylor]: Taking taylor expansion of 0 in im
2.707 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.709 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.709 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.709 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.709 * [taylor]: Taking taylor expansion of im in im
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (* 1 1) into 1
2.710 * [backup-simplify]: Simplify (/ 1 1) into 1
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.710 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.710 * [taylor]: Taking taylor expansion of re in im
2.710 * [backup-simplify]: Simplify re into re
2.710 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.711 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.711 * [backup-simplify]: Simplify (+ 1 0) into 1
2.711 * [backup-simplify]: Simplify (sqrt 1) into 1
2.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.713 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.714 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.714 * [taylor]: Taking taylor expansion of im in re
2.714 * [backup-simplify]: Simplify im into im
2.714 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.714 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.714 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.714 * [taylor]: Taking taylor expansion of re in re
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 1 into 1
2.715 * [backup-simplify]: Simplify (* 1 1) into 1
2.715 * [backup-simplify]: Simplify (/ 1 1) into 1
2.716 * [backup-simplify]: Simplify (+ 0 1) into 1
2.716 * [backup-simplify]: Simplify (sqrt 1) into 1
2.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.719 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.719 * [taylor]: Taking taylor expansion of im in re
2.719 * [backup-simplify]: Simplify im into im
2.719 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.719 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.719 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.719 * [taylor]: Taking taylor expansion of re in re
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.720 * [backup-simplify]: Simplify (/ 1 1) into 1
2.720 * [backup-simplify]: Simplify (+ 0 1) into 1
2.721 * [backup-simplify]: Simplify (sqrt 1) into 1
2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.722 * [backup-simplify]: Simplify (+ 0 0) into 0
2.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.723 * [taylor]: Taking taylor expansion of 1 in im
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [taylor]: Taking taylor expansion of 0 in im
2.723 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify 1 into 1
2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.727 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.727 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.727 * [taylor]: Taking taylor expansion of 1/2 in im
2.727 * [backup-simplify]: Simplify 1/2 into 1/2
2.727 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.727 * [taylor]: Taking taylor expansion of im in im
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (* 1 1) into 1
2.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.733 * [backup-simplify]: Simplify (+ 0 0) into 0
2.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.734 * [taylor]: Taking taylor expansion of 0 in im
2.734 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.736 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.736 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.737 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.737 * [taylor]: Taking taylor expansion of im in im
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (* 1 1) into 1
2.737 * [backup-simplify]: Simplify (/ 1 1) into 1
2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.738 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.738 * [taylor]: Taking taylor expansion of re in im
2.738 * [backup-simplify]: Simplify re into re
2.738 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.738 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.738 * [backup-simplify]: Simplify (+ 1 0) into 1
2.739 * [backup-simplify]: Simplify (sqrt 1) into 1
2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.741 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.741 * [taylor]: Taking taylor expansion of im in re
2.741 * [backup-simplify]: Simplify im into im
2.741 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.741 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.741 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.741 * [taylor]: Taking taylor expansion of re in re
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (* 1 1) into 1
2.742 * [backup-simplify]: Simplify (/ 1 1) into 1
2.742 * [backup-simplify]: Simplify (+ 0 1) into 1
2.742 * [backup-simplify]: Simplify (sqrt 1) into 1
2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.744 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.744 * [taylor]: Taking taylor expansion of im in re
2.744 * [backup-simplify]: Simplify im into im
2.744 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.744 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.744 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.744 * [taylor]: Taking taylor expansion of re in re
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (* 1 1) into 1
2.745 * [backup-simplify]: Simplify (/ 1 1) into 1
2.745 * [backup-simplify]: Simplify (+ 0 1) into 1
2.745 * [backup-simplify]: Simplify (sqrt 1) into 1
2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.746 * [backup-simplify]: Simplify (+ 0 0) into 0
2.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.747 * [taylor]: Taking taylor expansion of 1 in im
2.747 * [backup-simplify]: Simplify 1 into 1
2.747 * [taylor]: Taking taylor expansion of 0 in im
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.748 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.749 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.749 * [taylor]: Taking taylor expansion of 1/2 in im
2.749 * [backup-simplify]: Simplify 1/2 into 1/2
2.749 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.749 * [taylor]: Taking taylor expansion of im in im
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [backup-simplify]: Simplify (* 1 1) into 1
2.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (+ 0 0) into 0
2.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.753 * [taylor]: Taking taylor expansion of 0 in im
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.754 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
2.754 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
2.755 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
2.755 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
2.755 * [taylor]: Taking taylor expansion of re in im
2.755 * [backup-simplify]: Simplify re into re
2.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.755 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.755 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.755 * [taylor]: Taking taylor expansion of re in im
2.755 * [backup-simplify]: Simplify re into re
2.755 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.755 * [taylor]: Taking taylor expansion of im in im
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 1 into 1
2.755 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.755 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.755 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.755 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.755 * [backup-simplify]: Simplify (+ 0 0) into 0
2.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.755 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
2.755 * [taylor]: Taking taylor expansion of re in re
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 1 into 1
2.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.756 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.756 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.756 * [taylor]: Taking taylor expansion of re in re
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.756 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.756 * [taylor]: Taking taylor expansion of im in re
2.756 * [backup-simplify]: Simplify im into im
2.756 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.756 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.756 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.756 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.756 * [backup-simplify]: Simplify (+ 0 0) into 0
2.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.756 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
2.756 * [taylor]: Taking taylor expansion of re in re
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.756 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.756 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.756 * [taylor]: Taking taylor expansion of re in re
2.756 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.757 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.757 * [taylor]: Taking taylor expansion of im in re
2.757 * [backup-simplify]: Simplify im into im
2.757 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.757 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.757 * [backup-simplify]: Simplify (+ 0 0) into 0
2.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.757 * [backup-simplify]: Simplify (+ 0 im) into im
2.757 * [taylor]: Taking taylor expansion of im in im
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify (+ 1 0) into 1
2.758 * [taylor]: Taking taylor expansion of 1 in im
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (* 1 1) into 1
2.758 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.759 * [backup-simplify]: Simplify (+ 1 0) into 1
2.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.759 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.759 * [taylor]: Taking taylor expansion of 1/2 in im
2.759 * [backup-simplify]: Simplify 1/2 into 1/2
2.759 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.759 * [taylor]: Taking taylor expansion of im in im
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify 1 into 1
2.759 * [backup-simplify]: Simplify (/ 1 1) into 1
2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.762 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.762 * [backup-simplify]: Simplify (+ 0 0) into 0
2.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.762 * [backup-simplify]: Simplify (+ 0 0) into 0
2.762 * [taylor]: Taking taylor expansion of 0 in im
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.764 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
2.764 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
2.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.764 * [taylor]: Taking taylor expansion of re in im
2.764 * [backup-simplify]: Simplify re into re
2.764 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.764 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.764 * [taylor]: Taking taylor expansion of im in im
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (* 1 1) into 1
2.765 * [backup-simplify]: Simplify (/ 1 1) into 1
2.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.765 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.765 * [taylor]: Taking taylor expansion of re in im
2.765 * [backup-simplify]: Simplify re into re
2.765 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.765 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.765 * [backup-simplify]: Simplify (+ 1 0) into 1
2.766 * [backup-simplify]: Simplify (sqrt 1) into 1
2.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.767 * [backup-simplify]: Simplify (+ 0 0) into 0
2.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.767 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.767 * [taylor]: Taking taylor expansion of re in re
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 1 into 1
2.771 * [backup-simplify]: Simplify (/ 1 1) into 1
2.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.771 * [taylor]: Taking taylor expansion of im in re
2.771 * [backup-simplify]: Simplify im into im
2.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.772 * [taylor]: Taking taylor expansion of re in re
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify (* 1 1) into 1
2.772 * [backup-simplify]: Simplify (/ 1 1) into 1
2.773 * [backup-simplify]: Simplify (+ 0 1) into 1
2.773 * [backup-simplify]: Simplify (sqrt 1) into 1
2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.775 * [taylor]: Taking taylor expansion of re in re
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 1 into 1
2.775 * [backup-simplify]: Simplify (/ 1 1) into 1
2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.775 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.775 * [taylor]: Taking taylor expansion of im in re
2.775 * [backup-simplify]: Simplify im into im
2.775 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.775 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.775 * [taylor]: Taking taylor expansion of re in re
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 1 into 1
2.776 * [backup-simplify]: Simplify (* 1 1) into 1
2.776 * [backup-simplify]: Simplify (/ 1 1) into 1
2.776 * [backup-simplify]: Simplify (+ 0 1) into 1
2.776 * [backup-simplify]: Simplify (sqrt 1) into 1
2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (+ 0 0) into 0
2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.778 * [backup-simplify]: Simplify (+ 1 1) into 2
2.778 * [taylor]: Taking taylor expansion of 2 in im
2.778 * [backup-simplify]: Simplify 2 into 2
2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.779 * [backup-simplify]: Simplify (+ 0 0) into 0
2.779 * [taylor]: Taking taylor expansion of 0 in im
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 2 into 2
2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.783 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.783 * [taylor]: Taking taylor expansion of 1/2 in im
2.783 * [backup-simplify]: Simplify 1/2 into 1/2
2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.783 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.783 * [taylor]: Taking taylor expansion of im in im
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 1 into 1
2.783 * [backup-simplify]: Simplify (* 1 1) into 1
2.784 * [backup-simplify]: Simplify (/ 1 1) into 1
2.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.787 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.790 * [backup-simplify]: Simplify (+ 0 0) into 0
2.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.791 * [backup-simplify]: Simplify (+ 0 0) into 0
2.791 * [taylor]: Taking taylor expansion of 0 in im
2.791 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.794 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.796 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
2.796 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
2.796 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.796 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.796 * [taylor]: Taking taylor expansion of im in im
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify (/ 1 1) into 1
2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.797 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.797 * [taylor]: Taking taylor expansion of re in im
2.797 * [backup-simplify]: Simplify re into re
2.797 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.797 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.797 * [backup-simplify]: Simplify (+ 1 0) into 1
2.798 * [backup-simplify]: Simplify (sqrt 1) into 1
2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.799 * [taylor]: Taking taylor expansion of re in im
2.799 * [backup-simplify]: Simplify re into re
2.799 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.799 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.799 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.799 * [taylor]: Taking taylor expansion of im in re
2.799 * [backup-simplify]: Simplify im into im
2.800 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.800 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.800 * [taylor]: Taking taylor expansion of re in re
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.800 * [backup-simplify]: Simplify (* 1 1) into 1
2.800 * [backup-simplify]: Simplify (/ 1 1) into 1
2.801 * [backup-simplify]: Simplify (+ 0 1) into 1
2.801 * [backup-simplify]: Simplify (sqrt 1) into 1
2.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.802 * [backup-simplify]: Simplify (+ 0 0) into 0
2.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.802 * [taylor]: Taking taylor expansion of re in re
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.803 * [backup-simplify]: Simplify (/ 1 1) into 1
2.803 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.803 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.803 * [taylor]: Taking taylor expansion of im in re
2.803 * [backup-simplify]: Simplify im into im
2.803 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.803 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.803 * [taylor]: Taking taylor expansion of re in re
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.803 * [backup-simplify]: Simplify (* 1 1) into 1
2.804 * [backup-simplify]: Simplify (/ 1 1) into 1
2.804 * [backup-simplify]: Simplify (+ 0 1) into 1
2.804 * [backup-simplify]: Simplify (sqrt 1) into 1
2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.805 * [backup-simplify]: Simplify (+ 0 0) into 0
2.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.806 * [taylor]: Taking taylor expansion of re in re
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (/ 1 1) into 1
2.806 * [backup-simplify]: Simplify (- 1) into -1
2.806 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.806 * [taylor]: Taking taylor expansion of 0 in im
2.806 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.807 * [backup-simplify]: Simplify (- 0) into 0
2.807 * [backup-simplify]: Simplify (+ 0 0) into 0
2.807 * [taylor]: Taking taylor expansion of 0 in im
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.809 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.810 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.810 * [backup-simplify]: Simplify (- 0) into 0
2.810 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.810 * [taylor]: Taking taylor expansion of 1/2 in im
2.811 * [backup-simplify]: Simplify 1/2 into 1/2
2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.811 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.811 * [taylor]: Taking taylor expansion of im in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (* 1 1) into 1
2.811 * [backup-simplify]: Simplify (/ 1 1) into 1
2.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (+ 0 0) into 0
2.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.816 * [backup-simplify]: Simplify (- 0) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [taylor]: Taking taylor expansion of 0 in im
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * * * [progress]: simplifying candidates
2.819 * [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))))
  (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
3.677 * * * [progress]: adding candidates to table
4.062 * * [progress]: iteration 3 / 4
4.062 * * * [progress]: picking best candidate
4.088 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.088 * * * [progress]: localizing error
4.121 * * * [progress]: generating rewritten candidates
4.122 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
4.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1)
4.135 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1)
4.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
4.153 * * * [progress]: generating series expansions
4.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
4.153 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3)
4.153 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0
4.153 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im
4.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im
4.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im
4.153 * [taylor]: Taking taylor expansion of 1/3 in im
4.153 * [backup-simplify]: Simplify 1/3 into 1/3
4.153 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
4.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.153 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.153 * [taylor]: Taking taylor expansion of re in im
4.153 * [backup-simplify]: Simplify re into re
4.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.154 * [taylor]: Taking taylor expansion of im in im
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.154 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.154 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
4.154 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
4.154 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
4.154 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
4.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
4.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
4.154 * [taylor]: Taking taylor expansion of 1/3 in re
4.154 * [backup-simplify]: Simplify 1/3 into 1/3
4.154 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.154 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.154 * [taylor]: Taking taylor expansion of re in re
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.154 * [taylor]: Taking taylor expansion of im in re
4.154 * [backup-simplify]: Simplify im into im
4.154 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.154 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.154 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.155 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
4.155 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
4.155 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re
4.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re
4.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re
4.155 * [taylor]: Taking taylor expansion of 1/3 in re
4.155 * [backup-simplify]: Simplify 1/3 into 1/3
4.155 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.155 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.155 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.155 * [taylor]: Taking taylor expansion of re in re
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.155 * [taylor]: Taking taylor expansion of im in re
4.155 * [backup-simplify]: Simplify im into im
4.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.155 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.155 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
4.155 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
4.155 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
4.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
4.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
4.155 * [taylor]: Taking taylor expansion of 1/3 in im
4.155 * [backup-simplify]: Simplify 1/3 into 1/3
4.155 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
4.155 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.155 * [taylor]: Taking taylor expansion of im in im
4.155 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (* 1 1) into 1
4.156 * [backup-simplify]: Simplify (log 1) into 0
4.157 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.157 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
4.157 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
4.157 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
4.157 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
4.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
4.159 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.159 * [taylor]: Taking taylor expansion of 0 in im
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.160 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.161 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
4.161 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.161 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify (* 1 1) into 1
4.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.162 * [backup-simplify]: Simplify (+ 1 0) into 1
4.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
4.164 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
4.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
4.165 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
4.165 * [taylor]: Taking taylor expansion of 1/3 in im
4.165 * [backup-simplify]: Simplify 1/3 into 1/3
4.165 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
4.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
4.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
4.165 * [taylor]: Taking taylor expansion of 1/3 in im
4.165 * [backup-simplify]: Simplify 1/3 into 1/3
4.165 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
4.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
4.165 * [taylor]: Taking taylor expansion of (pow im 4) in im
4.165 * [taylor]: Taking taylor expansion of im in im
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 1 into 1
4.165 * [backup-simplify]: Simplify (* 1 1) into 1
4.165 * [backup-simplify]: Simplify (* 1 1) into 1
4.165 * [backup-simplify]: Simplify (/ 1 1) into 1
4.166 * [backup-simplify]: Simplify (log 1) into 0
4.166 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
4.166 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
4.166 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
4.166 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
4.166 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
4.166 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.169 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
4.170 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.170 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.173 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
4.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
4.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.175 * [taylor]: Taking taylor expansion of 0 in im
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.178 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
4.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
4.179 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
4.179 * [backup-simplify]: Simplify 0 into 0
4.179 * [backup-simplify]: Simplify 0 into 0
4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.182 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.183 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
4.185 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3))
4.185 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)
4.185 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0
4.185 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
4.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.185 * [taylor]: Taking taylor expansion of 1/3 in im
4.185 * [backup-simplify]: Simplify 1/3 into 1/3
4.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.185 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.185 * [taylor]: Taking taylor expansion of im in im
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.186 * [backup-simplify]: Simplify (* 1 1) into 1
4.186 * [backup-simplify]: Simplify (/ 1 1) into 1
4.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.186 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.186 * [taylor]: Taking taylor expansion of re in im
4.186 * [backup-simplify]: Simplify re into re
4.186 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.186 * [backup-simplify]: Simplify (+ 1 0) into 1
4.187 * [backup-simplify]: Simplify (log 1) into 0
4.187 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.187 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
4.187 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
4.187 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
4.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.187 * [taylor]: Taking taylor expansion of 1/3 in re
4.187 * [backup-simplify]: Simplify 1/3 into 1/3
4.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.187 * [taylor]: Taking taylor expansion of im in re
4.187 * [backup-simplify]: Simplify im into im
4.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.187 * [taylor]: Taking taylor expansion of re in re
4.187 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 1 into 1
4.188 * [backup-simplify]: Simplify (* 1 1) into 1
4.192 * [backup-simplify]: Simplify (/ 1 1) into 1
4.192 * [backup-simplify]: Simplify (+ 0 1) into 1
4.193 * [backup-simplify]: Simplify (log 1) into 0
4.193 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.193 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
4.193 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
4.193 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
4.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.193 * [taylor]: Taking taylor expansion of 1/3 in re
4.193 * [backup-simplify]: Simplify 1/3 into 1/3
4.193 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.193 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.193 * [taylor]: Taking taylor expansion of im in re
4.193 * [backup-simplify]: Simplify im into im
4.193 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.194 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.194 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.194 * [taylor]: Taking taylor expansion of re in re
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 1 into 1
4.194 * [backup-simplify]: Simplify (* 1 1) into 1
4.195 * [backup-simplify]: Simplify (/ 1 1) into 1
4.195 * [backup-simplify]: Simplify (+ 0 1) into 1
4.195 * [backup-simplify]: Simplify (log 1) into 0
4.195 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.195 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
4.195 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
4.196 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
4.196 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
4.196 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
4.196 * [taylor]: Taking taylor expansion of -2/3 in im
4.196 * [backup-simplify]: Simplify -2/3 into -2/3
4.196 * [taylor]: Taking taylor expansion of (log re) in im
4.196 * [taylor]: Taking taylor expansion of re in im
4.196 * [backup-simplify]: Simplify re into re
4.196 * [backup-simplify]: Simplify (log re) into (log re)
4.196 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
4.196 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
4.196 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
4.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.197 * [backup-simplify]: Simplify (+ 0 0) into 0
4.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.198 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
4.199 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.199 * [taylor]: Taking taylor expansion of 0 in im
4.199 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
4.200 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
4.200 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.200 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.201 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.203 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.203 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
4.204 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
4.204 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
4.204 * [taylor]: Taking taylor expansion of 1/3 in im
4.204 * [backup-simplify]: Simplify 1/3 into 1/3
4.204 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
4.204 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
4.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
4.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
4.204 * [taylor]: Taking taylor expansion of 1/3 in im
4.204 * [backup-simplify]: Simplify 1/3 into 1/3
4.204 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.204 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.204 * [taylor]: Taking taylor expansion of re in im
4.204 * [backup-simplify]: Simplify re into re
4.204 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.204 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.205 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
4.205 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
4.205 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
4.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.205 * [taylor]: Taking taylor expansion of im in im
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (* 1 1) into 1
4.205 * [backup-simplify]: Simplify (/ 1 1) into 1
4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.207 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
4.208 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
4.209 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.209 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
4.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
4.211 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
4.212 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.213 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
4.213 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
4.213 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
4.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
4.216 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
4.216 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.216 * [backup-simplify]: Simplify 0 into 0
4.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.218 * [backup-simplify]: Simplify (+ 0 0) into 0
4.220 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.221 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
4.223 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.223 * [taylor]: Taking taylor expansion of 0 in im
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
4.223 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)
4.223 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0
4.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im
4.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.223 * [taylor]: Taking taylor expansion of 1/3 in im
4.223 * [backup-simplify]: Simplify 1/3 into 1/3
4.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.223 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.223 * [taylor]: Taking taylor expansion of im in im
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 1 into 1
4.224 * [backup-simplify]: Simplify (* 1 1) into 1
4.224 * [backup-simplify]: Simplify (/ 1 1) into 1
4.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.224 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.224 * [taylor]: Taking taylor expansion of re in im
4.224 * [backup-simplify]: Simplify re into re
4.224 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.224 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.224 * [backup-simplify]: Simplify (+ 1 0) into 1
4.225 * [backup-simplify]: Simplify (log 1) into 0
4.225 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.225 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
4.225 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
4.225 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
4.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.225 * [taylor]: Taking taylor expansion of 1/3 in re
4.225 * [backup-simplify]: Simplify 1/3 into 1/3
4.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.225 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.225 * [taylor]: Taking taylor expansion of im in re
4.225 * [backup-simplify]: Simplify im into im
4.225 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.225 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.225 * [taylor]: Taking taylor expansion of re in re
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.226 * [backup-simplify]: Simplify (* 1 1) into 1
4.226 * [backup-simplify]: Simplify (/ 1 1) into 1
4.226 * [backup-simplify]: Simplify (+ 0 1) into 1
4.226 * [backup-simplify]: Simplify (log 1) into 0
4.227 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.227 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
4.227 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
4.227 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re
4.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.227 * [taylor]: Taking taylor expansion of 1/3 in re
4.227 * [backup-simplify]: Simplify 1/3 into 1/3
4.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.227 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.227 * [taylor]: Taking taylor expansion of im in re
4.227 * [backup-simplify]: Simplify im into im
4.227 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.227 * [taylor]: Taking taylor expansion of re in re
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [backup-simplify]: Simplify (* 1 1) into 1
4.228 * [backup-simplify]: Simplify (/ 1 1) into 1
4.228 * [backup-simplify]: Simplify (+ 0 1) into 1
4.228 * [backup-simplify]: Simplify (log 1) into 0
4.228 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.229 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
4.229 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
4.229 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
4.229 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
4.229 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
4.229 * [taylor]: Taking taylor expansion of -2/3 in im
4.229 * [backup-simplify]: Simplify -2/3 into -2/3
4.229 * [taylor]: Taking taylor expansion of (log re) in im
4.229 * [taylor]: Taking taylor expansion of re in im
4.229 * [backup-simplify]: Simplify re into re
4.229 * [backup-simplify]: Simplify (log re) into (log re)
4.229 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
4.229 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
4.229 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
4.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (+ 0 0) into 0
4.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.231 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
4.232 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.232 * [taylor]: Taking taylor expansion of 0 in im
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
4.233 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
4.233 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.233 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.235 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.236 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.237 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
4.237 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
4.237 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
4.237 * [taylor]: Taking taylor expansion of 1/3 in im
4.237 * [backup-simplify]: Simplify 1/3 into 1/3
4.237 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
4.237 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
4.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
4.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
4.237 * [taylor]: Taking taylor expansion of 1/3 in im
4.237 * [backup-simplify]: Simplify 1/3 into 1/3
4.237 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
4.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.237 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.237 * [taylor]: Taking taylor expansion of re in im
4.238 * [backup-simplify]: Simplify re into re
4.238 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.238 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
4.238 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
4.238 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
4.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.238 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.238 * [taylor]: Taking taylor expansion of im in im
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [backup-simplify]: Simplify 1 into 1
4.238 * [backup-simplify]: Simplify (* 1 1) into 1
4.239 * [backup-simplify]: Simplify (/ 1 1) into 1
4.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.240 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
4.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
4.242 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.243 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
4.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
4.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
4.245 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.246 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
4.246 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
4.247 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
4.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
4.249 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
4.250 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (+ 0 0) into 0
4.253 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.254 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.255 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
4.256 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.256 * [taylor]: Taking taylor expansion of 0 in im
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
4.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1)
4.256 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow re 2) (pow im 2)))
4.256 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (im re) around 0
4.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.256 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.256 * [taylor]: Taking taylor expansion of re in re
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 1 into 1
4.256 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.256 * [taylor]: Taking taylor expansion of im in re
4.257 * [backup-simplify]: Simplify im into im
4.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.257 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.257 * [backup-simplify]: Simplify (+ 0 0) into 0
4.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.257 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.257 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.257 * [taylor]: Taking taylor expansion of re in im
4.257 * [backup-simplify]: Simplify re into re
4.257 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.257 * [taylor]: Taking taylor expansion of im in im
4.257 * [backup-simplify]: Simplify 0 into 0
4.257 * [backup-simplify]: Simplify 1 into 1
4.257 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.257 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.258 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.258 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.258 * [backup-simplify]: Simplify (+ 0 0) into 0
4.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.258 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.258 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.258 * [taylor]: Taking taylor expansion of re in im
4.258 * [backup-simplify]: Simplify re into re
4.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.258 * [taylor]: Taking taylor expansion of im in im
4.258 * [backup-simplify]: Simplify 0 into 0
4.258 * [backup-simplify]: Simplify 1 into 1
4.258 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.258 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.258 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.258 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.259 * [backup-simplify]: Simplify (+ 0 0) into 0
4.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.259 * [taylor]: Taking taylor expansion of re in re
4.259 * [backup-simplify]: Simplify 0 into 0
4.259 * [backup-simplify]: Simplify 1 into 1
4.259 * [backup-simplify]: Simplify 0 into 0
4.259 * [taylor]: Taking taylor expansion of 0 in re
4.259 * [backup-simplify]: Simplify 0 into 0
4.259 * [backup-simplify]: Simplify 0 into 0
4.259 * [backup-simplify]: Simplify 1 into 1
4.259 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
4.259 * [backup-simplify]: Simplify (* 1 1) into 1
4.260 * [backup-simplify]: Simplify (+ 0 1) into 1
4.260 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
4.260 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
4.260 * [taylor]: Taking taylor expansion of 1/2 in re
4.260 * [backup-simplify]: Simplify 1/2 into 1/2
4.260 * [taylor]: Taking taylor expansion of re in re
4.260 * [backup-simplify]: Simplify 0 into 0
4.260 * [backup-simplify]: Simplify 1 into 1
4.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
4.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.262 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
4.262 * [taylor]: Taking taylor expansion of 0 in re
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.263 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
4.263 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.263 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (im re) around 0
4.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.263 * [taylor]: Taking taylor expansion of im in re
4.263 * [backup-simplify]: Simplify im into im
4.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.264 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.264 * [taylor]: Taking taylor expansion of re in re
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify 1 into 1
4.264 * [backup-simplify]: Simplify (* 1 1) into 1
4.264 * [backup-simplify]: Simplify (/ 1 1) into 1
4.264 * [backup-simplify]: Simplify (+ 0 1) into 1
4.265 * [backup-simplify]: Simplify (sqrt 1) into 1
4.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.266 * [backup-simplify]: Simplify (+ 0 0) into 0
4.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.266 * [taylor]: Taking taylor expansion of im in im
4.266 * [backup-simplify]: Simplify 0 into 0
4.266 * [backup-simplify]: Simplify 1 into 1
4.267 * [backup-simplify]: Simplify (* 1 1) into 1
4.267 * [backup-simplify]: Simplify (/ 1 1) into 1
4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.267 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.267 * [taylor]: Taking taylor expansion of re in im
4.267 * [backup-simplify]: Simplify re into re
4.267 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.267 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.267 * [backup-simplify]: Simplify (+ 1 0) into 1
4.268 * [backup-simplify]: Simplify (sqrt 1) into 1
4.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.269 * [backup-simplify]: Simplify (+ 0 0) into 0
4.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.270 * [taylor]: Taking taylor expansion of im in im
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.271 * [backup-simplify]: Simplify (* 1 1) into 1
4.271 * [backup-simplify]: Simplify (/ 1 1) into 1
4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.271 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.271 * [taylor]: Taking taylor expansion of re in im
4.271 * [backup-simplify]: Simplify re into re
4.271 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.272 * [backup-simplify]: Simplify (+ 1 0) into 1
4.272 * [backup-simplify]: Simplify (sqrt 1) into 1
4.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.274 * [backup-simplify]: Simplify (+ 0 0) into 0
4.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.275 * [taylor]: Taking taylor expansion of 1 in re
4.275 * [backup-simplify]: Simplify 1 into 1
4.275 * [taylor]: Taking taylor expansion of 0 in re
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 1 into 1
4.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
4.279 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.279 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
4.279 * [taylor]: Taking taylor expansion of 1/2 in re
4.279 * [backup-simplify]: Simplify 1/2 into 1/2
4.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.279 * [taylor]: Taking taylor expansion of re in re
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify 1 into 1
4.279 * [backup-simplify]: Simplify (* 1 1) into 1
4.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.283 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.284 * [backup-simplify]: Simplify (+ 0 0) into 0
4.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
4.285 * [taylor]: Taking taylor expansion of 0 in re
4.285 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
4.288 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.288 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (im re) around 0
4.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.288 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.288 * [taylor]: Taking taylor expansion of im in re
4.288 * [backup-simplify]: Simplify im into im
4.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.288 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.288 * [taylor]: Taking taylor expansion of re in re
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 1 into 1
4.289 * [backup-simplify]: Simplify (* 1 1) into 1
4.289 * [backup-simplify]: Simplify (/ 1 1) into 1
4.289 * [backup-simplify]: Simplify (+ 0 1) into 1
4.290 * [backup-simplify]: Simplify (sqrt 1) into 1
4.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.292 * [backup-simplify]: Simplify (+ 0 0) into 0
4.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.292 * [taylor]: Taking taylor expansion of im in im
4.293 * [backup-simplify]: Simplify 0 into 0
4.293 * [backup-simplify]: Simplify 1 into 1
4.293 * [backup-simplify]: Simplify (* 1 1) into 1
4.293 * [backup-simplify]: Simplify (/ 1 1) into 1
4.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.293 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.293 * [taylor]: Taking taylor expansion of re in im
4.293 * [backup-simplify]: Simplify re into re
4.293 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.294 * [backup-simplify]: Simplify (+ 1 0) into 1
4.295 * [backup-simplify]: Simplify (sqrt 1) into 1
4.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.301 * [backup-simplify]: Simplify (+ 0 0) into 0
4.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.302 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.302 * [taylor]: Taking taylor expansion of im in im
4.302 * [backup-simplify]: Simplify 0 into 0
4.302 * [backup-simplify]: Simplify 1 into 1
4.303 * [backup-simplify]: Simplify (* 1 1) into 1
4.303 * [backup-simplify]: Simplify (/ 1 1) into 1
4.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.303 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.303 * [taylor]: Taking taylor expansion of re in im
4.303 * [backup-simplify]: Simplify re into re
4.303 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.304 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.304 * [backup-simplify]: Simplify (+ 1 0) into 1
4.305 * [backup-simplify]: Simplify (sqrt 1) into 1
4.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.307 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.308 * [taylor]: Taking taylor expansion of 1 in re
4.308 * [backup-simplify]: Simplify 1 into 1
4.308 * [taylor]: Taking taylor expansion of 0 in re
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.310 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
4.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.311 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
4.311 * [taylor]: Taking taylor expansion of 1/2 in re
4.311 * [backup-simplify]: Simplify 1/2 into 1/2
4.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.311 * [taylor]: Taking taylor expansion of re in re
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 1 into 1
4.312 * [backup-simplify]: Simplify (* 1 1) into 1
4.312 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.316 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.317 * [backup-simplify]: Simplify (+ 0 0) into 0
4.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
4.317 * [taylor]: Taking taylor expansion of 0 in re
4.317 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
4.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1)
4.320 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.320 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.320 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.320 * [taylor]: Taking taylor expansion of re in im
4.320 * [backup-simplify]: Simplify re into re
4.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.320 * [taylor]: Taking taylor expansion of im in im
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 1 into 1
4.320 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.321 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.321 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.321 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.321 * [backup-simplify]: Simplify (+ 0 0) into 0
4.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.322 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.322 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.322 * [taylor]: Taking taylor expansion of re in re
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 1 into 1
4.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.322 * [taylor]: Taking taylor expansion of im in re
4.322 * [backup-simplify]: Simplify im into im
4.322 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.322 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.322 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.323 * [backup-simplify]: Simplify (+ 0 0) into 0
4.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.323 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.323 * [taylor]: Taking taylor expansion of re in re
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify 1 into 1
4.323 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.323 * [taylor]: Taking taylor expansion of im in re
4.323 * [backup-simplify]: Simplify im into im
4.323 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.323 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.324 * [backup-simplify]: Simplify (+ 0 0) into 0
4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.324 * [taylor]: Taking taylor expansion of im in im
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [taylor]: Taking taylor expansion of 0 in im
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.325 * [backup-simplify]: Simplify (* 1 1) into 1
4.325 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.326 * [backup-simplify]: Simplify (+ 1 0) into 1
4.326 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.326 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.326 * [taylor]: Taking taylor expansion of 1/2 in im
4.327 * [backup-simplify]: Simplify 1/2 into 1/2
4.327 * [taylor]: Taking taylor expansion of im in im
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.330 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.330 * [backup-simplify]: Simplify (+ 0 0) into 0
4.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.330 * [taylor]: Taking taylor expansion of 0 in im
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.332 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.332 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.332 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.332 * [taylor]: Taking taylor expansion of im in im
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 1 into 1
4.332 * [backup-simplify]: Simplify (* 1 1) into 1
4.333 * [backup-simplify]: Simplify (/ 1 1) into 1
4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.333 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.333 * [taylor]: Taking taylor expansion of re in im
4.333 * [backup-simplify]: Simplify re into re
4.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.333 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.334 * [backup-simplify]: Simplify (+ 1 0) into 1
4.334 * [backup-simplify]: Simplify (sqrt 1) into 1
4.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.336 * [backup-simplify]: Simplify (+ 0 0) into 0
4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.337 * [taylor]: Taking taylor expansion of im in re
4.337 * [backup-simplify]: Simplify im into im
4.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.337 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.337 * [taylor]: Taking taylor expansion of re in re
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 1 into 1
4.338 * [backup-simplify]: Simplify (* 1 1) into 1
4.338 * [backup-simplify]: Simplify (/ 1 1) into 1
4.338 * [backup-simplify]: Simplify (+ 0 1) into 1
4.339 * [backup-simplify]: Simplify (sqrt 1) into 1
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.340 * [backup-simplify]: Simplify (+ 0 0) into 0
4.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.341 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.341 * [taylor]: Taking taylor expansion of im in re
4.341 * [backup-simplify]: Simplify im into im
4.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.341 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.341 * [taylor]: Taking taylor expansion of re in re
4.341 * [backup-simplify]: Simplify 0 into 0
4.341 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (* 1 1) into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.342 * [backup-simplify]: Simplify (+ 0 1) into 1
4.342 * [backup-simplify]: Simplify (sqrt 1) into 1
4.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.343 * [backup-simplify]: Simplify (+ 0 0) into 0
4.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.344 * [taylor]: Taking taylor expansion of 1 in im
4.344 * [backup-simplify]: Simplify 1 into 1
4.344 * [taylor]: Taking taylor expansion of 0 in im
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify 1 into 1
4.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.345 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.346 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.346 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.346 * [taylor]: Taking taylor expansion of 1/2 in im
4.346 * [backup-simplify]: Simplify 1/2 into 1/2
4.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.346 * [taylor]: Taking taylor expansion of im in im
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [backup-simplify]: Simplify (* 1 1) into 1
4.347 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.350 * [taylor]: Taking taylor expansion of 0 in im
4.350 * [backup-simplify]: Simplify 0 into 0
4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.351 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.351 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.351 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.351 * [taylor]: Taking taylor expansion of im in im
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify 1 into 1
4.352 * [backup-simplify]: Simplify (* 1 1) into 1
4.352 * [backup-simplify]: Simplify (/ 1 1) into 1
4.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.352 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.352 * [taylor]: Taking taylor expansion of re in im
4.352 * [backup-simplify]: Simplify re into re
4.352 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.352 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.352 * [backup-simplify]: Simplify (+ 1 0) into 1
4.353 * [backup-simplify]: Simplify (sqrt 1) into 1
4.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.354 * [backup-simplify]: Simplify (+ 0 0) into 0
4.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.354 * [taylor]: Taking taylor expansion of im in re
4.354 * [backup-simplify]: Simplify im into im
4.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.354 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.355 * [taylor]: Taking taylor expansion of re in re
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify 1 into 1
4.355 * [backup-simplify]: Simplify (* 1 1) into 1
4.355 * [backup-simplify]: Simplify (/ 1 1) into 1
4.355 * [backup-simplify]: Simplify (+ 0 1) into 1
4.356 * [backup-simplify]: Simplify (sqrt 1) into 1
4.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.357 * [backup-simplify]: Simplify (+ 0 0) into 0
4.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.357 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.357 * [taylor]: Taking taylor expansion of im in re
4.357 * [backup-simplify]: Simplify im into im
4.357 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.357 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.357 * [taylor]: Taking taylor expansion of re in re
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify 1 into 1
4.358 * [backup-simplify]: Simplify (* 1 1) into 1
4.358 * [backup-simplify]: Simplify (/ 1 1) into 1
4.358 * [backup-simplify]: Simplify (+ 0 1) into 1
4.358 * [backup-simplify]: Simplify (sqrt 1) into 1
4.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.359 * [backup-simplify]: Simplify (+ 0 0) into 0
4.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.360 * [taylor]: Taking taylor expansion of 1 in im
4.360 * [backup-simplify]: Simplify 1 into 1
4.360 * [taylor]: Taking taylor expansion of 0 in im
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify 1 into 1
4.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.362 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.362 * [taylor]: Taking taylor expansion of 1/2 in im
4.362 * [backup-simplify]: Simplify 1/2 into 1/2
4.362 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.362 * [taylor]: Taking taylor expansion of im in im
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify 1 into 1
4.362 * [backup-simplify]: Simplify (* 1 1) into 1
4.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.366 * [backup-simplify]: Simplify (+ 0 0) into 0
4.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.366 * [taylor]: Taking taylor expansion of 0 in im
4.366 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.367 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 1)
4.368 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.368 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.368 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.368 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.368 * [taylor]: Taking taylor expansion of re in im
4.368 * [backup-simplify]: Simplify re into re
4.368 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.368 * [taylor]: Taking taylor expansion of im in im
4.368 * [backup-simplify]: Simplify 0 into 0
4.368 * [backup-simplify]: Simplify 1 into 1
4.368 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.368 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.368 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.368 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.368 * [backup-simplify]: Simplify (+ 0 0) into 0
4.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.369 * [taylor]: Taking taylor expansion of re in re
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.369 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.369 * [taylor]: Taking taylor expansion of im in re
4.369 * [backup-simplify]: Simplify im into im
4.369 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.369 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.369 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.369 * [backup-simplify]: Simplify (+ 0 0) into 0
4.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.369 * [taylor]: Taking taylor expansion of re in re
4.369 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.370 * [taylor]: Taking taylor expansion of im in re
4.370 * [backup-simplify]: Simplify im into im
4.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.370 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.370 * [backup-simplify]: Simplify (+ 0 0) into 0
4.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.370 * [taylor]: Taking taylor expansion of im in im
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [taylor]: Taking taylor expansion of 0 in im
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.371 * [backup-simplify]: Simplify (* 1 1) into 1
4.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.371 * [backup-simplify]: Simplify (+ 1 0) into 1
4.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.372 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.372 * [taylor]: Taking taylor expansion of 1/2 in im
4.372 * [backup-simplify]: Simplify 1/2 into 1/2
4.372 * [taylor]: Taking taylor expansion of im in im
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.375 * [backup-simplify]: Simplify (+ 0 0) into 0
4.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.375 * [taylor]: Taking taylor expansion of 0 in im
4.375 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.377 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.377 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.377 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.377 * [taylor]: Taking taylor expansion of im in im
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (* 1 1) into 1
4.378 * [backup-simplify]: Simplify (/ 1 1) into 1
4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.378 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.378 * [taylor]: Taking taylor expansion of re in im
4.378 * [backup-simplify]: Simplify re into re
4.378 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.379 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.379 * [backup-simplify]: Simplify (+ 1 0) into 1
4.379 * [backup-simplify]: Simplify (sqrt 1) into 1
4.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (+ 0 0) into 0
4.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.382 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.382 * [taylor]: Taking taylor expansion of im in re
4.382 * [backup-simplify]: Simplify im into im
4.382 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.383 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.383 * [taylor]: Taking taylor expansion of re in re
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 1 into 1
4.383 * [backup-simplify]: Simplify (* 1 1) into 1
4.383 * [backup-simplify]: Simplify (/ 1 1) into 1
4.384 * [backup-simplify]: Simplify (+ 0 1) into 1
4.384 * [backup-simplify]: Simplify (sqrt 1) into 1
4.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.386 * [backup-simplify]: Simplify (+ 0 0) into 0
4.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.387 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.387 * [taylor]: Taking taylor expansion of im in re
4.387 * [backup-simplify]: Simplify im into im
4.387 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.387 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.387 * [taylor]: Taking taylor expansion of re in re
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify 1 into 1
4.388 * [backup-simplify]: Simplify (* 1 1) into 1
4.388 * [backup-simplify]: Simplify (/ 1 1) into 1
4.389 * [backup-simplify]: Simplify (+ 0 1) into 1
4.389 * [backup-simplify]: Simplify (sqrt 1) into 1
4.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.391 * [backup-simplify]: Simplify (+ 0 0) into 0
4.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.392 * [taylor]: Taking taylor expansion of 1 in im
4.392 * [backup-simplify]: Simplify 1 into 1
4.392 * [taylor]: Taking taylor expansion of 0 in im
4.392 * [backup-simplify]: Simplify 0 into 0
4.392 * [backup-simplify]: Simplify 1 into 1
4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.394 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.395 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.395 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.395 * [taylor]: Taking taylor expansion of 1/2 in im
4.395 * [backup-simplify]: Simplify 1/2 into 1/2
4.395 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.395 * [taylor]: Taking taylor expansion of im in im
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 1 into 1
4.396 * [backup-simplify]: Simplify (* 1 1) into 1
4.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.398 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.401 * [backup-simplify]: Simplify (+ 0 0) into 0
4.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.401 * [taylor]: Taking taylor expansion of 0 in im
4.401 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.403 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.403 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.403 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.403 * [taylor]: Taking taylor expansion of im in im
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 1 into 1
4.403 * [backup-simplify]: Simplify (* 1 1) into 1
4.403 * [backup-simplify]: Simplify (/ 1 1) into 1
4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.403 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.403 * [taylor]: Taking taylor expansion of re in im
4.403 * [backup-simplify]: Simplify re into re
4.403 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.404 * [backup-simplify]: Simplify (+ 1 0) into 1
4.404 * [backup-simplify]: Simplify (sqrt 1) into 1
4.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (+ 0 0) into 0
4.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.406 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.406 * [taylor]: Taking taylor expansion of im in re
4.406 * [backup-simplify]: Simplify im into im
4.406 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.406 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.406 * [taylor]: Taking taylor expansion of re in re
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 1 into 1
4.406 * [backup-simplify]: Simplify (* 1 1) into 1
4.406 * [backup-simplify]: Simplify (/ 1 1) into 1
4.407 * [backup-simplify]: Simplify (+ 0 1) into 1
4.407 * [backup-simplify]: Simplify (sqrt 1) into 1
4.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.408 * [backup-simplify]: Simplify (+ 0 0) into 0
4.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.409 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.409 * [taylor]: Taking taylor expansion of im in re
4.409 * [backup-simplify]: Simplify im into im
4.409 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.409 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.409 * [taylor]: Taking taylor expansion of re in re
4.409 * [backup-simplify]: Simplify 0 into 0
4.409 * [backup-simplify]: Simplify 1 into 1
4.409 * [backup-simplify]: Simplify (* 1 1) into 1
4.409 * [backup-simplify]: Simplify (/ 1 1) into 1
4.410 * [backup-simplify]: Simplify (+ 0 1) into 1
4.410 * [backup-simplify]: Simplify (sqrt 1) into 1
4.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.411 * [backup-simplify]: Simplify (+ 0 0) into 0
4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.411 * [taylor]: Taking taylor expansion of 1 in im
4.411 * [backup-simplify]: Simplify 1 into 1
4.412 * [taylor]: Taking taylor expansion of 0 in im
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.413 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.414 * [taylor]: Taking taylor expansion of 1/2 in im
4.414 * [backup-simplify]: Simplify 1/2 into 1/2
4.414 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.414 * [taylor]: Taking taylor expansion of im in im
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify 1 into 1
4.414 * [backup-simplify]: Simplify (* 1 1) into 1
4.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (+ 0 0) into 0
4.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.417 * [taylor]: Taking taylor expansion of 0 in im
4.418 * [backup-simplify]: Simplify 0 into 0
4.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.419 * * * [progress]: simplifying candidates
4.420 * [simplify]: Simplifying:
  (log (cbrt (+ (* re re) (* im im))))
  (exp (cbrt (+ (* re re) (* im im))))
  (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt 1)
  (cbrt (+ (* re re) (* im im)))
  (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (- (* re re) (* im im)))
  (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (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))))
  (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  re
  im
  (* -1 im)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
6.131 * * * [progress]: adding candidates to table
6.632 * * [progress]: iteration 4 / 4
6.632 * * * [progress]: picking best candidate
6.667 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))>
6.668 * * * [progress]: localizing error
6.702 * * * [progress]: generating rewritten candidates
6.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2)
6.717 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
6.775 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
6.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2)
6.836 * * * [progress]: generating series expansions
6.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2)
6.836 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
6.836 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
6.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.836 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.836 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.836 * [taylor]: Taking taylor expansion of re in im
6.836 * [backup-simplify]: Simplify re into re
6.836 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.836 * [taylor]: Taking taylor expansion of im in im
6.836 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify 1 into 1
6.836 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.836 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.837 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.837 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.837 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.837 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.837 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.837 * [taylor]: Taking taylor expansion of re in re
6.837 * [backup-simplify]: Simplify 0 into 0
6.837 * [backup-simplify]: Simplify 1 into 1
6.837 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.837 * [taylor]: Taking taylor expansion of im in re
6.837 * [backup-simplify]: Simplify im into im
6.837 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.838 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.838 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.838 * [backup-simplify]: Simplify (+ 0 0) into 0
6.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.838 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.838 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.838 * [taylor]: Taking taylor expansion of re in re
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 1 into 1
6.838 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.838 * [taylor]: Taking taylor expansion of im in re
6.838 * [backup-simplify]: Simplify im into im
6.838 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.838 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.839 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.839 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.839 * [backup-simplify]: Simplify (+ 0 0) into 0
6.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.839 * [taylor]: Taking taylor expansion of im in im
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [taylor]: Taking taylor expansion of 0 in im
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.840 * [backup-simplify]: Simplify (* 1 1) into 1
6.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.840 * [backup-simplify]: Simplify (+ 1 0) into 1
6.841 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.841 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.841 * [taylor]: Taking taylor expansion of 1/2 in im
6.841 * [backup-simplify]: Simplify 1/2 into 1/2
6.841 * [taylor]: Taking taylor expansion of im in im
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify 1 into 1
6.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.843 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.843 * [backup-simplify]: Simplify (+ 0 0) into 0
6.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.843 * [taylor]: Taking taylor expansion of 0 in im
6.843 * [backup-simplify]: Simplify 0 into 0
6.843 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.844 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.844 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.844 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.844 * [taylor]: Taking taylor expansion of im in im
6.844 * [backup-simplify]: Simplify 0 into 0
6.844 * [backup-simplify]: Simplify 1 into 1
6.845 * [backup-simplify]: Simplify (* 1 1) into 1
6.845 * [backup-simplify]: Simplify (/ 1 1) into 1
6.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.845 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.845 * [taylor]: Taking taylor expansion of re in im
6.845 * [backup-simplify]: Simplify re into re
6.845 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.845 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.846 * [backup-simplify]: Simplify (+ 1 0) into 1
6.846 * [backup-simplify]: Simplify (sqrt 1) into 1
6.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.848 * [backup-simplify]: Simplify (+ 0 0) into 0
6.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.849 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.849 * [taylor]: Taking taylor expansion of im in re
6.849 * [backup-simplify]: Simplify im into im
6.849 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.849 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.849 * [taylor]: Taking taylor expansion of re in re
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 1 into 1
6.850 * [backup-simplify]: Simplify (* 1 1) into 1
6.850 * [backup-simplify]: Simplify (/ 1 1) into 1
6.850 * [backup-simplify]: Simplify (+ 0 1) into 1
6.851 * [backup-simplify]: Simplify (sqrt 1) into 1
6.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.853 * [taylor]: Taking taylor expansion of im in re
6.853 * [backup-simplify]: Simplify im into im
6.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.854 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.854 * [taylor]: Taking taylor expansion of re in re
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 1 into 1
6.854 * [backup-simplify]: Simplify (* 1 1) into 1
6.855 * [backup-simplify]: Simplify (/ 1 1) into 1
6.855 * [backup-simplify]: Simplify (+ 0 1) into 1
6.855 * [backup-simplify]: Simplify (sqrt 1) into 1
6.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.857 * [backup-simplify]: Simplify (+ 0 0) into 0
6.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.858 * [taylor]: Taking taylor expansion of 1 in im
6.858 * [backup-simplify]: Simplify 1 into 1
6.858 * [taylor]: Taking taylor expansion of 0 in im
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 1 into 1
6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.860 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.862 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.862 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.862 * [taylor]: Taking taylor expansion of 1/2 in im
6.862 * [backup-simplify]: Simplify 1/2 into 1/2
6.862 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.862 * [taylor]: Taking taylor expansion of im in im
6.862 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify 1 into 1
6.863 * [backup-simplify]: Simplify (* 1 1) into 1
6.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.865 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.869 * [backup-simplify]: Simplify (+ 0 0) into 0
6.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.869 * [taylor]: Taking taylor expansion of 0 in im
6.870 * [backup-simplify]: Simplify 0 into 0
6.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.871 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.872 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
6.872 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
6.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.872 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.872 * [taylor]: Taking taylor expansion of im in im
6.872 * [backup-simplify]: Simplify 0 into 0
6.872 * [backup-simplify]: Simplify 1 into 1
6.873 * [backup-simplify]: Simplify (* 1 1) into 1
6.873 * [backup-simplify]: Simplify (/ 1 1) into 1
6.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.873 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.873 * [taylor]: Taking taylor expansion of re in im
6.873 * [backup-simplify]: Simplify re into re
6.873 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.874 * [backup-simplify]: Simplify (+ 1 0) into 1
6.874 * [backup-simplify]: Simplify (sqrt 1) into 1
6.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.876 * [backup-simplify]: Simplify (+ 0 0) into 0
6.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.877 * [taylor]: Taking taylor expansion of im in re
6.877 * [backup-simplify]: Simplify im into im
6.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.877 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.877 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.877 * [taylor]: Taking taylor expansion of re in re
6.878 * [backup-simplify]: Simplify 0 into 0
6.878 * [backup-simplify]: Simplify 1 into 1
6.878 * [backup-simplify]: Simplify (* 1 1) into 1
6.878 * [backup-simplify]: Simplify (/ 1 1) into 1
6.879 * [backup-simplify]: Simplify (+ 0 1) into 1
6.879 * [backup-simplify]: Simplify (sqrt 1) into 1
6.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.881 * [backup-simplify]: Simplify (+ 0 0) into 0
6.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.882 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.882 * [taylor]: Taking taylor expansion of im in re
6.882 * [backup-simplify]: Simplify im into im
6.882 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.882 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.883 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.883 * [taylor]: Taking taylor expansion of re in re
6.883 * [backup-simplify]: Simplify 0 into 0
6.883 * [backup-simplify]: Simplify 1 into 1
6.883 * [backup-simplify]: Simplify (* 1 1) into 1
6.883 * [backup-simplify]: Simplify (/ 1 1) into 1
6.884 * [backup-simplify]: Simplify (+ 0 1) into 1
6.885 * [backup-simplify]: Simplify (sqrt 1) into 1
6.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.886 * [backup-simplify]: Simplify (+ 0 0) into 0
6.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.887 * [taylor]: Taking taylor expansion of 1 in im
6.887 * [backup-simplify]: Simplify 1 into 1
6.887 * [taylor]: Taking taylor expansion of 0 in im
6.887 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify 1 into 1
6.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.890 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.891 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.891 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.891 * [taylor]: Taking taylor expansion of 1/2 in im
6.891 * [backup-simplify]: Simplify 1/2 into 1/2
6.891 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.891 * [taylor]: Taking taylor expansion of im in im
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [backup-simplify]: Simplify 1 into 1
6.892 * [backup-simplify]: Simplify (* 1 1) into 1
6.892 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.897 * [backup-simplify]: Simplify (+ 0 0) into 0
6.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.898 * [taylor]: Taking taylor expansion of 0 in im
6.898 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
6.901 * [backup-simplify]: Simplify (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) into (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re))
6.901 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0
6.901 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
6.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.901 * [taylor]: Taking taylor expansion of im in re
6.901 * [backup-simplify]: Simplify im into im
6.901 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
6.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
6.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
6.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.901 * [taylor]: Taking taylor expansion of re in re
6.901 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify 1 into 1
6.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.901 * [taylor]: Taking taylor expansion of im in re
6.901 * [backup-simplify]: Simplify im into im
6.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.901 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.902 * [backup-simplify]: Simplify (+ 0 0) into 0
6.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.902 * [taylor]: Taking taylor expansion of re in re
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 1 into 1
6.902 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.903 * [backup-simplify]: Simplify (- 0) into 0
6.903 * [backup-simplify]: Simplify (+ im 0) into im
6.903 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
6.903 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
6.903 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.903 * [taylor]: Taking taylor expansion of im in im
6.903 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify 1 into 1
6.903 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
6.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.903 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.903 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.903 * [taylor]: Taking taylor expansion of re in im
6.903 * [backup-simplify]: Simplify re into re
6.903 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.903 * [taylor]: Taking taylor expansion of im in im
6.903 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 1 into 1
6.904 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.904 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.904 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.904 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.904 * [backup-simplify]: Simplify (+ 0 0) into 0
6.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.905 * [taylor]: Taking taylor expansion of re in im
6.905 * [backup-simplify]: Simplify re into re
6.905 * [backup-simplify]: Simplify (* 1 1) into 1
6.905 * [backup-simplify]: Simplify (- re) into (- re)
6.906 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.906 * [backup-simplify]: Simplify (- 0) into 0
6.907 * [backup-simplify]: Simplify (+ 0 0) into 0
6.908 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.908 * [backup-simplify]: Simplify (* 1 1) into 1
6.908 * [backup-simplify]: Simplify (+ 0 1) into 1
6.909 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.910 * [backup-simplify]: Simplify (- 0) into 0
6.910 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.910 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.910 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
6.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.910 * [taylor]: Taking taylor expansion of im in im
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
6.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
6.910 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
6.910 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.910 * [taylor]: Taking taylor expansion of re in im
6.910 * [backup-simplify]: Simplify re into re
6.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.910 * [taylor]: Taking taylor expansion of im in im
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.911 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.911 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.911 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.911 * [backup-simplify]: Simplify (+ 0 0) into 0
6.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.912 * [taylor]: Taking taylor expansion of re in im
6.912 * [backup-simplify]: Simplify re into re
6.912 * [backup-simplify]: Simplify (* 1 1) into 1
6.912 * [backup-simplify]: Simplify (- re) into (- re)
6.912 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.912 * [backup-simplify]: Simplify (- 0) into 0
6.913 * [backup-simplify]: Simplify (+ 0 0) into 0
6.913 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.914 * [backup-simplify]: Simplify (* 1 1) into 1
6.914 * [backup-simplify]: Simplify (+ 0 1) into 1
6.915 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.915 * [backup-simplify]: Simplify (- 0) into 0
6.916 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.916 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.916 * [taylor]: Taking taylor expansion of (* 2 re) in re
6.916 * [taylor]: Taking taylor expansion of 2 in re
6.916 * [backup-simplify]: Simplify 2 into 2
6.916 * [taylor]: Taking taylor expansion of re in re
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 1 into 1
6.916 * [backup-simplify]: Simplify (* 2 0) into 0
6.916 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.918 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.919 * [backup-simplify]: Simplify (+ 0 0) into 0
6.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.920 * [backup-simplify]: Simplify (- 0) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.920 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.920 * [taylor]: Taking taylor expansion of 0 in re
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.921 * [backup-simplify]: Simplify 2 into 2
6.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.923 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
6.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.925 * [backup-simplify]: Simplify (+ 0 0) into 0
6.925 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
6.926 * [backup-simplify]: Simplify (- 0) into 0
6.926 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
6.927 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
6.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
6.927 * [taylor]: Taking taylor expansion of 1/2 in re
6.927 * [backup-simplify]: Simplify 1/2 into 1/2
6.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.927 * [taylor]: Taking taylor expansion of re in re
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 1 into 1
6.927 * [backup-simplify]: Simplify (/ 1 1) into 1
6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.930 * [backup-simplify]: Simplify 0 into 0
6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.938 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
6.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.940 * [backup-simplify]: Simplify (+ 0 0) into 0
6.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
6.941 * [backup-simplify]: Simplify (- 0) into 0
6.941 * [backup-simplify]: Simplify (+ 0 0) into 0
6.941 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 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
6.941 * [taylor]: Taking taylor expansion of 0 in re
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 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 (* 2 (* re 1)) into (* 2 re)
6.943 * [backup-simplify]: Simplify (/ (- (* (/ 1 im) (/ 1 im)) 0) (+ (* -1 (/ 1 re)) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)))
6.943 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0
6.943 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re
6.943 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re
6.943 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
6.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.943 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.943 * [taylor]: Taking taylor expansion of im in re
6.943 * [backup-simplify]: Simplify im into im
6.943 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.943 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.943 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.943 * [taylor]: Taking taylor expansion of re in re
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 1 into 1
6.944 * [backup-simplify]: Simplify (* 1 1) into 1
6.944 * [backup-simplify]: Simplify (/ 1 1) into 1
6.944 * [backup-simplify]: Simplify (+ 0 1) into 1
6.945 * [backup-simplify]: Simplify (sqrt 1) into 1
6.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.946 * [backup-simplify]: Simplify (+ 0 0) into 0
6.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.946 * [taylor]: Taking taylor expansion of re in re
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 1 into 1
6.946 * [backup-simplify]: Simplify (/ 1 1) into 1
6.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.946 * [taylor]: Taking taylor expansion of im in re
6.946 * [backup-simplify]: Simplify im into im
6.947 * [backup-simplify]: Simplify (- 1) into -1
6.947 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.947 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.947 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0
6.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.948 * [backup-simplify]: Simplify (- 0) into 0
6.948 * [backup-simplify]: Simplify (+ 0 0) into 0
6.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0
6.949 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.950 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
6.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.952 * [backup-simplify]: Simplify (- 0) into 0
6.952 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2
6.953 * [backup-simplify]: Simplify (/ 1 1/2) into 2
6.953 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
6.953 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
6.953 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.953 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.953 * [taylor]: Taking taylor expansion of im in im
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify 1 into 1
6.953 * [backup-simplify]: Simplify (* 1 1) into 1
6.953 * [backup-simplify]: Simplify (/ 1 1) into 1
6.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.953 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.953 * [taylor]: Taking taylor expansion of re in im
6.953 * [backup-simplify]: Simplify re into re
6.953 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.954 * [backup-simplify]: Simplify (+ 1 0) into 1
6.954 * [backup-simplify]: Simplify (sqrt 1) into 1
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (+ 0 0) into 0
6.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.956 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.956 * [taylor]: Taking taylor expansion of re in im
6.956 * [backup-simplify]: Simplify re into re
6.956 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.956 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.956 * [taylor]: Taking taylor expansion of im in im
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (+ 1 0) into 1
6.956 * [backup-simplify]: Simplify (* 1 1) into 1
6.957 * [backup-simplify]: Simplify (* 1 1) into 1
6.957 * [backup-simplify]: Simplify (/ 1 1) into 1
6.957 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
6.957 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
6.957 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
6.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.957 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.957 * [taylor]: Taking taylor expansion of im in im
6.957 * [backup-simplify]: Simplify 0 into 0
6.958 * [backup-simplify]: Simplify 1 into 1
6.958 * [backup-simplify]: Simplify (* 1 1) into 1
6.958 * [backup-simplify]: Simplify (/ 1 1) into 1
6.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.958 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.958 * [taylor]: Taking taylor expansion of re in im
6.958 * [backup-simplify]: Simplify re into re
6.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.959 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.959 * [backup-simplify]: Simplify (+ 1 0) into 1
6.960 * [backup-simplify]: Simplify (sqrt 1) into 1
6.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.961 * [backup-simplify]: Simplify (+ 0 0) into 0
6.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.962 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.962 * [taylor]: Taking taylor expansion of re in im
6.962 * [backup-simplify]: Simplify re into re
6.962 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.962 * [taylor]: Taking taylor expansion of im in im
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.963 * [backup-simplify]: Simplify (+ 1 0) into 1
6.963 * [backup-simplify]: Simplify (* 1 1) into 1
6.964 * [backup-simplify]: Simplify (* 1 1) into 1
6.964 * [backup-simplify]: Simplify (/ 1 1) into 1
6.964 * [taylor]: Taking taylor expansion of 1 in re
6.964 * [backup-simplify]: Simplify 1 into 1
6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.965 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
6.965 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
6.966 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re))
6.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
6.966 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.966 * [taylor]: Taking taylor expansion of re in re
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify 1 into 1
6.966 * [backup-simplify]: Simplify (/ 1 1) into 1
6.966 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.970 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
6.971 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.972 * [backup-simplify]: Simplify (- 0) into 0
6.972 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
6.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
6.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
6.973 * [taylor]: Taking taylor expansion of 1/2 in re
6.973 * [backup-simplify]: Simplify 1/2 into 1/2
6.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.973 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.973 * [taylor]: Taking taylor expansion of re in re
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 1 into 1
6.974 * [backup-simplify]: Simplify (* 1 1) into 1
6.974 * [backup-simplify]: Simplify (/ 1 1) into 1
6.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.981 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.981 * [backup-simplify]: Simplify (+ 0 0) into 0
6.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
6.983 * [backup-simplify]: Simplify (- 0) into 0
6.983 * [backup-simplify]: Simplify (+ 0 0) into 0
6.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0
6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
6.986 * [taylor]: Taking taylor expansion of 0 in re
6.986 * [backup-simplify]: Simplify 0 into 0
6.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.989 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
6.991 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- im)) (/ 1 (- im))) 0) (+ (* -1 (/ 1 (- re))) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)))
6.991 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0
6.991 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re
6.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re
6.991 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
6.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.991 * [taylor]: Taking taylor expansion of re in re
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 1 into 1
6.992 * [backup-simplify]: Simplify (/ 1 1) into 1
6.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
6.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
6.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.992 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.992 * [taylor]: Taking taylor expansion of im in re
6.992 * [backup-simplify]: Simplify im into im
6.992 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.992 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.992 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.992 * [taylor]: Taking taylor expansion of re in re
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify 1 into 1
6.993 * [backup-simplify]: Simplify (* 1 1) into 1
6.993 * [backup-simplify]: Simplify (/ 1 1) into 1
6.993 * [backup-simplify]: Simplify (+ 0 1) into 1
6.994 * [backup-simplify]: Simplify (sqrt 1) into 1
6.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.996 * [backup-simplify]: Simplify (+ 0 0) into 0
6.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.997 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.997 * [taylor]: Taking taylor expansion of im in re
6.997 * [backup-simplify]: Simplify im into im
6.997 * [backup-simplify]: Simplify (+ 1 1) into 2
6.997 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.997 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
6.997 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
6.997 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
6.997 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
6.997 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
6.997 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.997 * [taylor]: Taking taylor expansion of re in im
6.997 * [backup-simplify]: Simplify re into re
6.997 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
6.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
6.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.997 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.997 * [taylor]: Taking taylor expansion of im in im
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 1 into 1
6.998 * [backup-simplify]: Simplify (* 1 1) into 1
6.998 * [backup-simplify]: Simplify (/ 1 1) into 1
6.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.998 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.998 * [taylor]: Taking taylor expansion of re in im
6.998 * [backup-simplify]: Simplify re into re
6.998 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.998 * [backup-simplify]: Simplify (+ 1 0) into 1
6.999 * [backup-simplify]: Simplify (sqrt 1) into 1
6.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.000 * [backup-simplify]: Simplify (+ 0 0) into 0
7.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.000 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.000 * [taylor]: Taking taylor expansion of im in im
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 1 into 1
7.001 * [backup-simplify]: Simplify (+ 0 1) into 1
7.001 * [backup-simplify]: Simplify (* 1 1) into 1
7.001 * [backup-simplify]: Simplify (* 1 1) into 1
7.001 * [backup-simplify]: Simplify (/ 1 1) into 1
7.001 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
7.001 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.001 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.001 * [taylor]: Taking taylor expansion of re in im
7.001 * [backup-simplify]: Simplify re into re
7.001 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.001 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.002 * [taylor]: Taking taylor expansion of im in im
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [backup-simplify]: Simplify (* 1 1) into 1
7.002 * [backup-simplify]: Simplify (/ 1 1) into 1
7.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.002 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.002 * [taylor]: Taking taylor expansion of re in im
7.002 * [backup-simplify]: Simplify re into re
7.002 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.002 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.003 * [backup-simplify]: Simplify (+ 1 0) into 1
7.003 * [backup-simplify]: Simplify (sqrt 1) into 1
7.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.004 * [backup-simplify]: Simplify (+ 0 0) into 0
7.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.004 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.004 * [taylor]: Taking taylor expansion of im in im
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 1 into 1
7.005 * [backup-simplify]: Simplify (+ 0 1) into 1
7.005 * [backup-simplify]: Simplify (* 1 1) into 1
7.005 * [backup-simplify]: Simplify (* 1 1) into 1
7.005 * [backup-simplify]: Simplify (/ 1 1) into 1
7.005 * [taylor]: Taking taylor expansion of 1 in re
7.005 * [backup-simplify]: Simplify 1 into 1
7.005 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.006 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.006 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
7.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.006 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
7.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.006 * [taylor]: Taking taylor expansion of re in re
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify 1 into 1
7.007 * [backup-simplify]: Simplify (/ 1 1) into 1
7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.008 * [backup-simplify]: Simplify (- 0) into 0
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.010 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.011 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.011 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
7.012 * [taylor]: Taking taylor expansion of 1/2 in re
7.012 * [backup-simplify]: Simplify 1/2 into 1/2
7.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.012 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.012 * [taylor]: Taking taylor expansion of re in re
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [backup-simplify]: Simplify (* 1 1) into 1
7.012 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.017 * [backup-simplify]: Simplify (- 0) into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.017 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
7.017 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
7.017 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
7.017 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
7.017 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.017 * [taylor]: Taking taylor expansion of 2.0 in re
7.017 * [backup-simplify]: Simplify 2.0 into 2.0
7.017 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.018 * [taylor]: Taking taylor expansion of im in re
7.018 * [backup-simplify]: Simplify im into im
7.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
7.018 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
7.018 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.018 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.018 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.018 * [taylor]: Taking taylor expansion of re in re
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.018 * [taylor]: Taking taylor expansion of im in re
7.018 * [backup-simplify]: Simplify im into im
7.018 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.018 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.018 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.019 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.019 * [backup-simplify]: Simplify (+ 0 0) into 0
7.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.019 * [taylor]: Taking taylor expansion of re in re
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (- 0) into 0
7.019 * [backup-simplify]: Simplify (+ im 0) into im
7.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.019 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.020 * [backup-simplify]: Simplify (- 1) into -1
7.020 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
7.020 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
7.020 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
7.020 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.020 * [taylor]: Taking taylor expansion of 2.0 in im
7.020 * [backup-simplify]: Simplify 2.0 into 2.0
7.020 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.021 * [taylor]: Taking taylor expansion of im in im
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
7.021 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
7.021 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.021 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.021 * [taylor]: Taking taylor expansion of re in im
7.021 * [backup-simplify]: Simplify re into re
7.021 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.021 * [taylor]: Taking taylor expansion of im in im
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.021 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.021 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.022 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.022 * [backup-simplify]: Simplify (+ 0 0) into 0
7.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.022 * [taylor]: Taking taylor expansion of re in im
7.022 * [backup-simplify]: Simplify re into re
7.022 * [backup-simplify]: Simplify (- re) into (- re)
7.022 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.022 * [backup-simplify]: Simplify (- 0) into 0
7.022 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.023 * [backup-simplify]: Simplify (* 1 1) into 1
7.023 * [backup-simplify]: Simplify (+ 0 1) into 1
7.024 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.024 * [backup-simplify]: Simplify (- 0) into 0
7.024 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.024 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.024 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.025 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.026 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.027 * [backup-simplify]: Simplify (- 0) into 0
7.027 * [backup-simplify]: Simplify (+ 0 0) into 0
7.027 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.027 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
7.028 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.028 * [taylor]: Taking taylor expansion of 2.0 in im
7.028 * [backup-simplify]: Simplify 2.0 into 2.0
7.028 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.029 * [taylor]: Taking taylor expansion of im in im
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
7.029 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
7.029 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.029 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.029 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.029 * [taylor]: Taking taylor expansion of re in im
7.029 * [backup-simplify]: Simplify re into re
7.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.029 * [taylor]: Taking taylor expansion of im in im
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.030 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.030 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.030 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.031 * [taylor]: Taking taylor expansion of re in im
7.031 * [backup-simplify]: Simplify re into re
7.031 * [backup-simplify]: Simplify (- re) into (- re)
7.031 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.031 * [backup-simplify]: Simplify (- 0) into 0
7.032 * [backup-simplify]: Simplify (+ 0 0) into 0
7.032 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.032 * [backup-simplify]: Simplify (* 1 1) into 1
7.033 * [backup-simplify]: Simplify (+ 0 1) into 1
7.034 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.034 * [backup-simplify]: Simplify (- 0) into 0
7.034 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.034 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.034 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.035 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.036 * [backup-simplify]: Simplify (+ 0 0) into 0
7.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.037 * [backup-simplify]: Simplify (- 0) into 0
7.037 * [backup-simplify]: Simplify (+ 0 0) into 0
7.037 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.038 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.039 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
7.039 * [taylor]: Taking taylor expansion of 0 in re
7.039 * [backup-simplify]: Simplify 0 into 0
7.039 * [backup-simplify]: Simplify 0 into 0
7.041 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.042 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
7.043 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
7.043 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
7.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.043 * [taylor]: Taking taylor expansion of 2.0 in re
7.043 * [backup-simplify]: Simplify 2.0 into 2.0
7.043 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.044 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.044 * [taylor]: Taking taylor expansion of 2 in re
7.044 * [backup-simplify]: Simplify 2 into 2
7.044 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.045 * [taylor]: Taking taylor expansion of (sqrt re) in re
7.045 * [taylor]: Taking taylor expansion of re in re
7.045 * [backup-simplify]: Simplify 0 into 0
7.046 * [backup-simplify]: Simplify 1 into 1
7.046 * [backup-simplify]: Simplify (sqrt 0) into 0
7.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.049 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
7.050 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.053 * [backup-simplify]: Simplify (+ 0 0) into 0
7.054 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
7.054 * [backup-simplify]: Simplify (- 0) into 0
7.054 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
7.055 * [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))
7.056 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
7.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.059 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.061 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0
7.061 * [taylor]: Taking taylor expansion of 0 in re
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
7.071 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.075 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.075 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.078 * [backup-simplify]: Simplify (+ 0 0) into 0
7.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
7.079 * [backup-simplify]: Simplify (- 0) into 0
7.079 * [backup-simplify]: Simplify (+ 0 0) into 0
7.080 * [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
7.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
7.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.085 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
7.088 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
7.088 * [taylor]: Taking taylor expansion of 1/4 in re
7.088 * [backup-simplify]: Simplify 1/4 into 1/4
7.088 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
7.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
7.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.089 * [taylor]: Taking taylor expansion of 2.0 in re
7.089 * [backup-simplify]: Simplify 2.0 into 2.0
7.089 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.090 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.090 * [taylor]: Taking taylor expansion of 2 in re
7.090 * [backup-simplify]: Simplify 2 into 2
7.090 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.092 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
7.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
7.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
7.092 * [taylor]: Taking taylor expansion of (pow re 3) in re
7.093 * [taylor]: Taking taylor expansion of re in re
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* 1 1) into 1
7.093 * [backup-simplify]: Simplify (* 1 1) into 1
7.093 * [backup-simplify]: Simplify (/ 1 1) into 1
7.094 * [backup-simplify]: Simplify (sqrt 0) into 0
7.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.098 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.099 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
7.099 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.101 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
7.103 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.106 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.106 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
7.111 * [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))))
7.113 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.113 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.117 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
7.120 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.122 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.128 * [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)))))))))
7.128 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (- (* (/ 1 im) (/ 1 im)) 0) (+ (* -1 (/ 1 re)) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
7.128 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
7.128 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
7.128 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.128 * [taylor]: Taking taylor expansion of 2.0 in re
7.128 * [backup-simplify]: Simplify 2.0 into 2.0
7.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.129 * [taylor]: Taking taylor expansion of im in re
7.129 * [backup-simplify]: Simplify im into im
7.130 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
7.130 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
7.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.130 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
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 (* 1 1) into 1
7.131 * [backup-simplify]: Simplify (/ 1 1) into 1
7.131 * [backup-simplify]: Simplify (+ 0 1) into 1
7.131 * [backup-simplify]: Simplify (sqrt 1) into 1
7.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.132 * [backup-simplify]: Simplify (+ 0 0) into 0
7.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.133 * [taylor]: Taking taylor expansion of re in re
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 1 into 1
7.133 * [backup-simplify]: Simplify (/ 1 1) into 1
7.133 * [backup-simplify]: Simplify (- 1) into -1
7.133 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (- 0) into 0
7.134 * [backup-simplify]: Simplify (+ 0 0) into 0
7.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.136 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.137 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.137 * [backup-simplify]: Simplify (- 0) into 0
7.137 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.138 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.138 * [backup-simplify]: Simplify (sqrt 0) into 0
7.138 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.138 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
7.138 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.138 * [taylor]: Taking taylor expansion of 2.0 in im
7.138 * [backup-simplify]: Simplify 2.0 into 2.0
7.139 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.139 * [taylor]: Taking taylor expansion of im in im
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 1 into 1
7.140 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.140 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.140 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.140 * [taylor]: Taking taylor expansion of im in im
7.140 * [backup-simplify]: Simplify 0 into 0
7.140 * [backup-simplify]: Simplify 1 into 1
7.140 * [backup-simplify]: Simplify (* 1 1) into 1
7.141 * [backup-simplify]: Simplify (/ 1 1) into 1
7.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.141 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.141 * [taylor]: Taking taylor expansion of re in im
7.141 * [backup-simplify]: Simplify re into re
7.141 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.141 * [backup-simplify]: Simplify (+ 1 0) into 1
7.141 * [backup-simplify]: Simplify (sqrt 1) into 1
7.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (+ 0 0) into 0
7.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.143 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.143 * [taylor]: Taking taylor expansion of re in im
7.143 * [backup-simplify]: Simplify re into re
7.143 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.143 * [backup-simplify]: Simplify (+ 1 0) into 1
7.144 * [backup-simplify]: Simplify (/ 1 1) into 1
7.144 * [backup-simplify]: Simplify (sqrt 0) into 0
7.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.145 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
7.145 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.145 * [taylor]: Taking taylor expansion of 2.0 in im
7.145 * [backup-simplify]: Simplify 2.0 into 2.0
7.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.146 * [taylor]: Taking taylor expansion of im in im
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 1 into 1
7.146 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.146 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.147 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.147 * [taylor]: Taking taylor expansion of im in im
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.147 * [backup-simplify]: Simplify (* 1 1) into 1
7.147 * [backup-simplify]: Simplify (/ 1 1) into 1
7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.147 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.147 * [taylor]: Taking taylor expansion of re in im
7.147 * [backup-simplify]: Simplify re into re
7.147 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.147 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.148 * [backup-simplify]: Simplify (+ 1 0) into 1
7.148 * [backup-simplify]: Simplify (sqrt 1) into 1
7.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (+ 0 0) into 0
7.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.150 * [taylor]: Taking taylor expansion of re in im
7.150 * [backup-simplify]: Simplify re into re
7.150 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.150 * [backup-simplify]: Simplify (+ 1 0) into 1
7.150 * [backup-simplify]: Simplify (/ 1 1) into 1
7.150 * [backup-simplify]: Simplify (sqrt 0) into 0
7.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.152 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.152 * [taylor]: Taking taylor expansion of 0 in re
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.154 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.154 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.154 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.154 * [taylor]: Taking taylor expansion of +nan.0 in re
7.154 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.154 * [taylor]: Taking taylor expansion of 2.0 in re
7.154 * [backup-simplify]: Simplify 2.0 into 2.0
7.154 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.155 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.156 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
7.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.159 * [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)))))
7.159 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.159 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.159 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.159 * [taylor]: Taking taylor expansion of +nan.0 in re
7.159 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.159 * [taylor]: Taking taylor expansion of 2.0 in re
7.159 * [backup-simplify]: Simplify 2.0 into 2.0
7.160 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.160 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.160 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.160 * [taylor]: Taking taylor expansion of +nan.0 in re
7.160 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.160 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.160 * [taylor]: Taking taylor expansion of 2.0 in re
7.160 * [backup-simplify]: Simplify 2.0 into 2.0
7.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.161 * [taylor]: Taking taylor expansion of re in re
7.161 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify 1 into 1
7.162 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.163 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.165 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.167 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.170 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.171 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.173 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.174 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.176 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.176 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.186 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.187 * [backup-simplify]: Simplify (- 0) into 0
7.187 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.188 * [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))))
7.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.193 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
7.194 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
7.194 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
7.194 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.194 * [taylor]: Taking taylor expansion of +nan.0 in re
7.194 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.194 * [taylor]: Taking taylor expansion of 2.0 in re
7.194 * [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 (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.195 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.195 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.195 * [taylor]: Taking taylor expansion of +nan.0 in re
7.195 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.195 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.195 * [taylor]: Taking taylor expansion of 2.0 in re
7.195 * [backup-simplify]: Simplify 2.0 into 2.0
7.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.197 * [taylor]: Taking taylor expansion of (pow re 2) 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
7.199 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.199 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.199 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.199 * [taylor]: Taking taylor expansion of +nan.0 in re
7.199 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.199 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.199 * [taylor]: Taking taylor expansion of 2.0 in re
7.199 * [backup-simplify]: Simplify 2.0 into 2.0
7.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.200 * [taylor]: Taking taylor expansion of re in re
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify 1 into 1
7.201 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.203 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.204 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.206 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.208 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.211 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.213 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.216 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.217 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.220 * [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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
7.221 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (- (* (/ 1 (- im)) (/ 1 (- im))) 0) (+ (* -1 (/ 1 (- re))) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
7.221 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
7.221 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
7.221 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.221 * [taylor]: Taking taylor expansion of 2.0 in re
7.221 * [backup-simplify]: Simplify 2.0 into 2.0
7.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.221 * [taylor]: Taking taylor expansion of im in re
7.221 * [backup-simplify]: Simplify im into im
7.222 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
7.222 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.222 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.222 * [taylor]: Taking taylor expansion of re in re
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify 1 into 1
7.222 * [backup-simplify]: Simplify (/ 1 1) into 1
7.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.222 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.222 * [taylor]: Taking taylor expansion of im in re
7.222 * [backup-simplify]: Simplify im into im
7.222 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.222 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.222 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.223 * [taylor]: Taking taylor expansion of re in re
7.223 * [backup-simplify]: Simplify 0 into 0
7.223 * [backup-simplify]: Simplify 1 into 1
7.223 * [backup-simplify]: Simplify (* 1 1) into 1
7.223 * [backup-simplify]: Simplify (/ 1 1) into 1
7.223 * [backup-simplify]: Simplify (+ 0 1) into 1
7.224 * [backup-simplify]: Simplify (sqrt 1) into 1
7.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.225 * [backup-simplify]: Simplify (+ 0 0) into 0
7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.225 * [backup-simplify]: Simplify (+ 1 1) into 2
7.226 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.226 * [backup-simplify]: Simplify (sqrt 0) into 0
7.227 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.227 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
7.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.227 * [taylor]: Taking taylor expansion of 2.0 in im
7.227 * [backup-simplify]: Simplify 2.0 into 2.0
7.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.228 * [taylor]: Taking taylor expansion of im in im
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 1 into 1
7.228 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.228 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.228 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.228 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.228 * [taylor]: Taking taylor expansion of re in im
7.228 * [backup-simplify]: Simplify re into re
7.228 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.228 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.228 * [taylor]: Taking taylor expansion of im in im
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 1 into 1
7.229 * [backup-simplify]: Simplify (* 1 1) into 1
7.229 * [backup-simplify]: Simplify (/ 1 1) into 1
7.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.229 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.229 * [taylor]: Taking taylor expansion of re in im
7.229 * [backup-simplify]: Simplify re into re
7.229 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.229 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.229 * [backup-simplify]: Simplify (+ 1 0) into 1
7.230 * [backup-simplify]: Simplify (sqrt 1) into 1
7.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.231 * [backup-simplify]: Simplify (+ 0 0) into 0
7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.232 * [backup-simplify]: Simplify (+ 0 1) into 1
7.232 * [backup-simplify]: Simplify (/ 1 1) into 1
7.232 * [backup-simplify]: Simplify (sqrt 0) into 0
7.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.233 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
7.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.233 * [taylor]: Taking taylor expansion of 2.0 in im
7.233 * [backup-simplify]: Simplify 2.0 into 2.0
7.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.234 * [taylor]: Taking taylor expansion of im in im
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.234 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.234 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.234 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.234 * [taylor]: Taking taylor expansion of re in im
7.234 * [backup-simplify]: Simplify re into re
7.234 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.235 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.235 * [taylor]: Taking taylor expansion of im in im
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify 1 into 1
7.235 * [backup-simplify]: Simplify (* 1 1) into 1
7.235 * [backup-simplify]: Simplify (/ 1 1) into 1
7.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.235 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.235 * [taylor]: Taking taylor expansion of re in im
7.235 * [backup-simplify]: Simplify re into re
7.235 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.235 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.236 * [backup-simplify]: Simplify (+ 1 0) into 1
7.236 * [backup-simplify]: Simplify (sqrt 1) into 1
7.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.237 * [backup-simplify]: Simplify (+ 0 0) into 0
7.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.238 * [backup-simplify]: Simplify (+ 0 1) into 1
7.238 * [backup-simplify]: Simplify (/ 1 1) into 1
7.238 * [backup-simplify]: Simplify (sqrt 0) into 0
7.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.239 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.239 * [taylor]: Taking taylor expansion of 0 in re
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.241 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.241 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.241 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.241 * [taylor]: Taking taylor expansion of +nan.0 in re
7.241 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.241 * [taylor]: Taking taylor expansion of 2.0 in re
7.241 * [backup-simplify]: Simplify 2.0 into 2.0
7.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.243 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.245 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.246 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.246 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.248 * [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)))))
7.248 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.248 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.248 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.248 * [taylor]: Taking taylor expansion of +nan.0 in re
7.248 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.248 * [taylor]: Taking taylor expansion of 2.0 in re
7.248 * [backup-simplify]: Simplify 2.0 into 2.0
7.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.250 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.250 * [taylor]: Taking taylor expansion of +nan.0 in re
7.250 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.250 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.250 * [taylor]: Taking taylor expansion of 2.0 in re
7.250 * [backup-simplify]: Simplify 2.0 into 2.0
7.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.251 * [taylor]: Taking taylor expansion of re in re
7.251 * [backup-simplify]: Simplify 0 into 0
7.251 * [backup-simplify]: Simplify 1 into 1
7.252 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.253 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.255 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.255 * [backup-simplify]: Simplify (- 0) into 0
7.257 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.260 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.261 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.261 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.262 * [backup-simplify]: Simplify (- 0) into 0
7.262 * [backup-simplify]: Simplify 0 into 0
7.262 * [backup-simplify]: Simplify 0 into 0
7.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.264 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.265 * [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))))
7.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.268 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
7.268 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
7.268 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
7.268 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.268 * [taylor]: Taking taylor expansion of +nan.0 in re
7.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.268 * [taylor]: Taking taylor expansion of 2.0 in re
7.268 * [backup-simplify]: Simplify 2.0 into 2.0
7.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.269 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.269 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.269 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.269 * [taylor]: Taking taylor expansion of +nan.0 in re
7.269 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.269 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.269 * [taylor]: Taking taylor expansion of 2.0 in re
7.269 * [backup-simplify]: Simplify 2.0 into 2.0
7.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.270 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.270 * [taylor]: Taking taylor expansion of re in re
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (* 1 1) into 1
7.271 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.271 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.271 * [taylor]: Taking taylor expansion of +nan.0 in re
7.271 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.271 * [taylor]: Taking taylor expansion of 2.0 in re
7.271 * [backup-simplify]: Simplify 2.0 into 2.0
7.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.272 * [taylor]: Taking taylor expansion of re in re
7.272 * [backup-simplify]: Simplify 0 into 0
7.272 * [backup-simplify]: Simplify 1 into 1
7.272 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.273 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.276 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.278 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.278 * [backup-simplify]: Simplify (- 0) into 0
7.278 * [backup-simplify]: Simplify (+ 0 0) into 0
7.278 * [backup-simplify]: Simplify (- 0) into 0
7.279 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.281 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.282 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.285 * [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) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
7.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2)
7.285 * [backup-simplify]: Simplify (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
7.285 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
7.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
7.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.285 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.285 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.285 * [taylor]: Taking taylor expansion of re in im
7.285 * [backup-simplify]: Simplify re into re
7.285 * [taylor]: Taking taylor expansion of (pow im 2) in im
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
7.285 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.285 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.286 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.286 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.286 * [backup-simplify]: Simplify (+ 0 0) into 0
7.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.286 * [taylor]: Taking taylor expansion of re in im
7.286 * [backup-simplify]: Simplify re into re
7.286 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.286 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.286 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.286 * [taylor]: Taking taylor expansion of re in re
7.286 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify 1 into 1
7.286 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.286 * [taylor]: Taking taylor expansion of im in re
7.286 * [backup-simplify]: Simplify im into im
7.286 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.286 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.287 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.287 * [backup-simplify]: Simplify (+ 0 0) into 0
7.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.287 * [taylor]: Taking taylor expansion of re in re
7.287 * [backup-simplify]: Simplify 0 into 0
7.287 * [backup-simplify]: Simplify 1 into 1
7.287 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
7.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.287 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.287 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.287 * [taylor]: Taking taylor expansion of re in re
7.287 * [backup-simplify]: Simplify 0 into 0
7.287 * [backup-simplify]: Simplify 1 into 1
7.287 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.287 * [taylor]: Taking taylor expansion of im in re
7.287 * [backup-simplify]: Simplify im into im
7.287 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.287 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.287 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.288 * [backup-simplify]: Simplify (+ 0 0) into 0
7.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.288 * [taylor]: Taking taylor expansion of re in re
7.288 * [backup-simplify]: Simplify 0 into 0
7.288 * [backup-simplify]: Simplify 1 into 1
7.288 * [backup-simplify]: Simplify (- 0) into 0
7.288 * [backup-simplify]: Simplify (+ im 0) into im
7.288 * [taylor]: Taking taylor expansion of im in im
7.288 * [backup-simplify]: Simplify 0 into 0
7.288 * [backup-simplify]: Simplify 1 into 1
7.288 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify (- 1) into -1
7.289 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.289 * [taylor]: Taking taylor expansion of -1 in im
7.289 * [backup-simplify]: Simplify -1 into -1
7.289 * [backup-simplify]: Simplify -1 into -1
7.289 * [backup-simplify]: Simplify 1 into 1
7.289 * [backup-simplify]: Simplify (* 1 1) into 1
7.290 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.290 * [backup-simplify]: Simplify (+ 1 0) into 1
7.290 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.291 * [backup-simplify]: Simplify (- 0) into 0
7.291 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.291 * [taylor]: Taking taylor expansion of 1/2 in im
7.291 * [backup-simplify]: Simplify 1/2 into 1/2
7.291 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.291 * [taylor]: Taking taylor expansion of im in im
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 1 into 1
7.291 * [backup-simplify]: Simplify (/ 1 1) into 1
7.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.292 * [backup-simplify]: Simplify 0 into 0
7.292 * [backup-simplify]: Simplify 0 into 0
7.293 * [backup-simplify]: Simplify 0 into 0
7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.295 * [backup-simplify]: Simplify (+ 0 0) into 0
7.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.295 * [backup-simplify]: Simplify (- 0) into 0
7.302 * [backup-simplify]: Simplify (+ 0 0) into 0
7.302 * [taylor]: Taking taylor expansion of 0 in im
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.304 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify 0 into 0
7.305 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
7.305 * [backup-simplify]: Simplify (+ (* -1 (/ 1 re)) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
7.305 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
7.305 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.305 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.305 * [taylor]: Taking taylor expansion of im in im
7.305 * [backup-simplify]: Simplify 0 into 0
7.305 * [backup-simplify]: Simplify 1 into 1
7.306 * [backup-simplify]: Simplify (* 1 1) into 1
7.306 * [backup-simplify]: Simplify (/ 1 1) into 1
7.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.306 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.306 * [taylor]: Taking taylor expansion of re in im
7.306 * [backup-simplify]: Simplify re into re
7.306 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.307 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.307 * [backup-simplify]: Simplify (+ 1 0) into 1
7.307 * [backup-simplify]: Simplify (sqrt 1) into 1
7.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.309 * [backup-simplify]: Simplify (+ 0 0) into 0
7.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.310 * [taylor]: Taking taylor expansion of re in im
7.310 * [backup-simplify]: Simplify re into re
7.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.310 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.311 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.311 * [taylor]: Taking taylor expansion of im in re
7.311 * [backup-simplify]: Simplify im into im
7.311 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.311 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.311 * [taylor]: Taking taylor expansion of re in re
7.311 * [backup-simplify]: Simplify 0 into 0
7.311 * [backup-simplify]: Simplify 1 into 1
7.312 * [backup-simplify]: Simplify (* 1 1) into 1
7.312 * [backup-simplify]: Simplify (/ 1 1) into 1
7.312 * [backup-simplify]: Simplify (+ 0 1) into 1
7.313 * [backup-simplify]: Simplify (sqrt 1) into 1
7.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.315 * [backup-simplify]: Simplify (+ 0 0) into 0
7.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.316 * [taylor]: Taking taylor expansion of re in re
7.316 * [backup-simplify]: Simplify 0 into 0
7.316 * [backup-simplify]: Simplify 1 into 1
7.316 * [backup-simplify]: Simplify (/ 1 1) into 1
7.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.316 * [taylor]: Taking taylor expansion of im in re
7.316 * [backup-simplify]: Simplify im into im
7.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.317 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.317 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
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 (/ 1 1) into 1
7.318 * [backup-simplify]: Simplify (+ 0 1) into 1
7.319 * [backup-simplify]: Simplify (sqrt 1) into 1
7.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (+ 0 0) into 0
7.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.321 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.321 * [taylor]: Taking taylor expansion of re in re
7.321 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify 1 into 1
7.321 * [backup-simplify]: Simplify (/ 1 1) into 1
7.321 * [backup-simplify]: Simplify (- 1) into -1
7.322 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.322 * [taylor]: Taking taylor expansion of 0 in im
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.322 * [backup-simplify]: Simplify (- 0) into 0
7.323 * [backup-simplify]: Simplify (+ 0 0) into 0
7.323 * [taylor]: Taking taylor expansion of 0 in im
7.323 * [backup-simplify]: Simplify 0 into 0
7.323 * [backup-simplify]: Simplify 0 into 0
7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.324 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.325 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.325 * [backup-simplify]: Simplify (- 0) into 0
7.326 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.326 * [taylor]: Taking taylor expansion of 1/2 in im
7.326 * [backup-simplify]: Simplify 1/2 into 1/2
7.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.326 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.326 * [taylor]: Taking taylor expansion of im in im
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 1 into 1
7.326 * [backup-simplify]: Simplify (* 1 1) into 1
7.326 * [backup-simplify]: Simplify (/ 1 1) into 1
7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.327 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (+ 0 0) into 0
7.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.330 * [backup-simplify]: Simplify (- 0) into 0
7.331 * [backup-simplify]: Simplify (+ 0 0) into 0
7.331 * [taylor]: Taking taylor expansion of 0 in im
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.332 * [backup-simplify]: Simplify 0 into 0
7.332 * [backup-simplify]: Simplify 0 into 0
7.332 * [backup-simplify]: Simplify 0 into 0
7.333 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- re))) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
7.333 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.333 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.333 * [taylor]: Taking taylor expansion of re in im
7.333 * [backup-simplify]: Simplify re into re
7.333 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.333 * [taylor]: Taking taylor expansion of im in im
7.333 * [backup-simplify]: Simplify 0 into 0
7.333 * [backup-simplify]: Simplify 1 into 1
7.333 * [backup-simplify]: Simplify (* 1 1) into 1
7.333 * [backup-simplify]: Simplify (/ 1 1) into 1
7.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.333 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.333 * [taylor]: Taking taylor expansion of re in im
7.333 * [backup-simplify]: Simplify re into re
7.333 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.334 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.334 * [backup-simplify]: Simplify (+ 1 0) into 1
7.334 * [backup-simplify]: Simplify (sqrt 1) into 1
7.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.335 * [backup-simplify]: Simplify (+ 0 0) into 0
7.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.336 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.336 * [taylor]: Taking taylor expansion of re in re
7.336 * [backup-simplify]: Simplify 0 into 0
7.336 * [backup-simplify]: Simplify 1 into 1
7.336 * [backup-simplify]: Simplify (/ 1 1) into 1
7.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.336 * [taylor]: Taking taylor expansion of im in re
7.336 * [backup-simplify]: Simplify im into im
7.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.336 * [taylor]: Taking taylor expansion of re in re
7.336 * [backup-simplify]: Simplify 0 into 0
7.336 * [backup-simplify]: Simplify 1 into 1
7.337 * [backup-simplify]: Simplify (* 1 1) into 1
7.337 * [backup-simplify]: Simplify (/ 1 1) into 1
7.337 * [backup-simplify]: Simplify (+ 0 1) into 1
7.337 * [backup-simplify]: Simplify (sqrt 1) into 1
7.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.338 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.339 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.339 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.339 * [taylor]: Taking taylor expansion of re in re
7.339 * [backup-simplify]: Simplify 0 into 0
7.339 * [backup-simplify]: Simplify 1 into 1
7.339 * [backup-simplify]: Simplify (/ 1 1) into 1
7.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.339 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.339 * [taylor]: Taking taylor expansion of im in re
7.339 * [backup-simplify]: Simplify im into im
7.339 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.339 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.340 * [taylor]: Taking taylor expansion of re in re
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 1 into 1
7.340 * [backup-simplify]: Simplify (* 1 1) into 1
7.340 * [backup-simplify]: Simplify (/ 1 1) into 1
7.340 * [backup-simplify]: Simplify (+ 0 1) into 1
7.341 * [backup-simplify]: Simplify (sqrt 1) into 1
7.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.342 * [backup-simplify]: Simplify (+ 0 0) into 0
7.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.342 * [backup-simplify]: Simplify (+ 1 1) into 2
7.342 * [taylor]: Taking taylor expansion of 2 in im
7.342 * [backup-simplify]: Simplify 2 into 2
7.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.343 * [backup-simplify]: Simplify (+ 0 0) into 0
7.343 * [taylor]: Taking taylor expansion of 0 in im
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 2 into 2
7.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.345 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.346 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.346 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.346 * [taylor]: Taking taylor expansion of 1/2 in im
7.346 * [backup-simplify]: Simplify 1/2 into 1/2
7.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.346 * [taylor]: Taking taylor expansion of im in im
7.346 * [backup-simplify]: Simplify 0 into 0
7.346 * [backup-simplify]: Simplify 1 into 1
7.346 * [backup-simplify]: Simplify (* 1 1) into 1
7.346 * [backup-simplify]: Simplify (/ 1 1) into 1
7.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.348 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.350 * [backup-simplify]: Simplify (+ 0 0) into 0
7.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.351 * [backup-simplify]: Simplify (+ 0 0) into 0
7.351 * [taylor]: Taking taylor expansion of 0 in im
7.351 * [backup-simplify]: Simplify 0 into 0
7.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
7.353 * * * [progress]: simplifying candidates
7.356 * [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 (- (* im im) 0)) (log (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (log (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (exp (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (* (* (- (* im im) 0) (- (* im im) 0)) (- (* im im) 0)) (* (* (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (cbrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))
  (cbrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (* (* (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (- (- (* im im) 0))
  (- (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ (* im im) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ 0 (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ (* (cbrt (- (* im im) 0)) (cbrt (- (* im im) 0))) (* (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))
  (/ (cbrt (- (* im im) 0)) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (* (cbrt (- (* im im) 0)) (cbrt (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (cbrt (- (* im im) 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (* (cbrt (- (* im im) 0)) (cbrt (- (* im im) 0))) 1)
  (/ (cbrt (- (* im im) 0)) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ (sqrt (- (* im im) 0)) (* (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (- (* im im) 0)) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (sqrt (- (* im im) 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (sqrt (- (* im im) 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (sqrt (- (* im im) 0)) 1)
  (/ (sqrt (- (* im im) 0)) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ 1 (* (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))
  (/ (- (* im im) 0) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ 1 (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (- (* im im) 0) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ 1 1)
  (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ (+ im (sqrt 0)) (* (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))
  (/ (- im (sqrt 0)) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (+ im (sqrt 0)) 1)
  (/ (- im (sqrt 0)) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ 1 (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (- (* im im) 0))
  (/ (- (* im im) 0) (* (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))
  (/ (- (* im im) 0) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (/ (- (* im im) 0) 1)
  (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (cbrt (- (* im im) 0)))
  (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (sqrt (- (* im im) 0)))
  (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (- (* im im) 0))
  (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (- im (sqrt 0)))
  (/ (- (* im im) 0) (+ (pow (* -1 re) 3) (pow (sqrt (+ (* re re) (* im im))) 3)))
  (/ (- (* im im) 0) (- (* (* -1 re) (* -1 re)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))
  (* (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (+ (* (* im im) (* im im)) (+ (* 0 0) (* (* im im) 0))))
  (* (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (+ (* im im) 0))
  (log (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))
  (exp (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))
  (* (cbrt (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))
  (cbrt (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))
  (* (* (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))) (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))
  (sqrt 2.0)
  (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (sqrt (* 2.0 (- (* im im) 0)))
  (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))
  (sqrt (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))
  (* (exp (* -1 re)) (exp (sqrt (+ (* re re) (* im im)))))
  (log (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (exp (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (* (* (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (+ (* -1 re) (sqrt (+ (* re re) (* im im))))) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))
  (+ (pow (* -1 re) 3) (pow (sqrt (+ (* re re) (* im im))) 3))
  (+ (* (* -1 re) (* -1 re)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (* -1 re) (sqrt (+ (* re re) (* im im))))))
  (- (* (* -1 re) (* -1 re)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))
  (- (* -1 re) (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  (* 2 re)
  (+ re im)
  0
  (- (+ (* +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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
  (- im re)
  0
  (* -2 re)
8.726 * * * [progress]: adding candidates to table
9.218 * [progress]: [Phase 3 of 3] Extracting.
9.218 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (- (* im im) 0)) (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
9.227 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
9.227 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (- (* im im) 0)) (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
9.315 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
9.356 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (- (* im im) 0)) (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
9.465 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (- (* im im) 0)) (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
9.605 * * * [regime]: Found split indices: #<option (#s(si 3 24) #s(si 9 100) #s(si 7 113) #s(si 1 207) #s(si 4 255))>
9.606 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (- (* im im) 0)) (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
10.047 * [regimes]: Found splitpoints: (#s(sp 3 re -6.884475381550605e+182) #s(sp 9 re -3.29905290750459e-203) #s(sp 7 re -9.854979918925235e-302) #s(sp 1 re 9.050853877782241e+72) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (pow (sqrt (+ (* im im) (* re re))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (pow (/ -1 re) -2/3) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (sqrt (- (* im im) 0)) (/ (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* im im) 0) (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (+ im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))) (/ (- im (sqrt 0)) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* im im) 0))) (sqrt (+ (* -1 re) (sqrt (+ (* re re) (* im im))))))))>)
10.048 * [simplify]: Simplifying:
  (if (<= re -6.884475381550605e+182) (* 0.5 (sqrt (* 2.0 (/ (- (* im im) 0) (+ (* -1 re) (* -1 re)))))) (if (<= re -3.29905290750459e-203) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (if (<= re -9.854979918925235e-302) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 9.050853877782241e+72) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))))
16.969 * [regime-testing]: Baseline error score: 39.35246380040641
16.974 * [regime-testing]: Oracle error score: 14.21303599615672
16.983 * [regime-testing]: End program error score: 24.151101587598745
17.092 * [regime-testing]: Target error score: 33.53775128206898