1.931 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.032 * [progress]: [Phase 2 of 3] Improving.
0.032 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.032 * * [simplify]: iteration 0: 6 enodes
0.034 * * [simplify]: iteration 1: 7 enodes
0.036 * * [simplify]: iteration complete: 7 enodes
0.036 * * [simplify]: Extracting #0: cost 1 inf + 0
0.036 * * [simplify]: Extracting #1: cost 2 inf + 0
0.036 * * [simplify]: Extracting #2: cost 4 inf + 0
0.036 * * [simplify]: Extracting #3: cost 6 inf + 0
0.036 * * [simplify]: Extracting #4: cost 3 inf + 5
0.036 * * [simplify]: Extracting #5: cost 0 inf + 23
0.036 * [simplify]: Simplified to:
  (sqrt (+ (* re re) (* im im)))
0.037 * * [progress]: iteration 1 / 4
0.037 * * * [progress]: picking best candidate
0.042 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.042 * * * [progress]: localizing error
0.068 * * * [progress]: generating rewritten candidates
0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.095 * * * [progress]: generating series expansions
0.095 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.096 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.096 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.096 * [taylor]: Taking taylor expansion of im in im
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.096 * [taylor]: Taking taylor expansion of re in im
0.096 * [backup-simplify]: Simplify re into re
0.097 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.097 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.097 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.097 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.098 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.098 * [taylor]: Taking taylor expansion of im in re
0.098 * [backup-simplify]: Simplify im into im
0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.098 * [taylor]: Taking taylor expansion of re in re
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.098 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.098 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.098 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.099 * [taylor]: Taking taylor expansion of im in re
0.099 * [backup-simplify]: Simplify im into im
0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.099 * [taylor]: Taking taylor expansion of re in re
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.099 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.099 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.099 * [taylor]: Taking taylor expansion of im in im
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [taylor]: Taking taylor expansion of 0 in im
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.100 * [backup-simplify]: Simplify (* 1 1) into 1
0.101 * [backup-simplify]: Simplify (+ 0 1) into 1
0.101 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.101 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.101 * [taylor]: Taking taylor expansion of 1/2 in im
0.101 * [backup-simplify]: Simplify 1/2 into 1/2
0.101 * [taylor]: Taking taylor expansion of im in im
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.104 * [taylor]: Taking taylor expansion of 0 in im
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.105 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.105 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.105 * [taylor]: Taking taylor expansion of re in im
0.105 * [backup-simplify]: Simplify re into re
0.105 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.105 * [taylor]: Taking taylor expansion of im in im
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (* 1 1) into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [backup-simplify]: Simplify (+ 0 1) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.108 * [taylor]: Taking taylor expansion of re in re
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.109 * [taylor]: Taking taylor expansion of im in re
0.109 * [backup-simplify]: Simplify im into im
0.109 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.109 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.109 * [backup-simplify]: Simplify (+ 1 0) into 1
0.109 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.111 * [taylor]: Taking taylor expansion of re in re
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.111 * [taylor]: Taking taylor expansion of im in re
0.111 * [backup-simplify]: Simplify im into im
0.111 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.112 * [backup-simplify]: Simplify (+ 1 0) into 1
0.112 * [backup-simplify]: Simplify (sqrt 1) into 1
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.114 * [taylor]: Taking taylor expansion of 1 in im
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [taylor]: Taking taylor expansion of 0 in im
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.116 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.116 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.116 * [taylor]: Taking taylor expansion of 1/2 in im
0.116 * [backup-simplify]: Simplify 1/2 into 1/2
0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.116 * [taylor]: Taking taylor expansion of im in im
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (* 1 1) into 1
0.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in im
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.121 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.121 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.122 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.122 * [taylor]: Taking taylor expansion of re in im
0.122 * [backup-simplify]: Simplify re into re
0.122 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.122 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.122 * [taylor]: Taking taylor expansion of im in im
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.122 * [backup-simplify]: Simplify (/ 1 1) into 1
0.123 * [backup-simplify]: Simplify (+ 0 1) into 1
0.123 * [backup-simplify]: Simplify (sqrt 1) into 1
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.124 * [taylor]: Taking taylor expansion of re in re
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.125 * [taylor]: Taking taylor expansion of im in re
0.125 * [backup-simplify]: Simplify im into im
0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.125 * [backup-simplify]: Simplify (+ 1 0) into 1
0.126 * [backup-simplify]: Simplify (sqrt 1) into 1
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.127 * [taylor]: Taking taylor expansion of re in re
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (/ 1 1) into 1
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.128 * [taylor]: Taking taylor expansion of im in re
0.128 * [backup-simplify]: Simplify im into im
0.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.128 * [backup-simplify]: Simplify (+ 1 0) into 1
0.129 * [backup-simplify]: Simplify (sqrt 1) into 1
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.130 * [taylor]: Taking taylor expansion of 1 in im
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [taylor]: Taking taylor expansion of 0 in im
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.132 * [taylor]: Taking taylor expansion of 1/2 in im
0.132 * [backup-simplify]: Simplify 1/2 into 1/2
0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.132 * [taylor]: Taking taylor expansion of im in im
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.136 * [taylor]: Taking taylor expansion of 0 in im
0.136 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.138 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.138 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.138 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.138 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.138 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.138 * [taylor]: Taking taylor expansion of im in im
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.138 * [taylor]: Taking taylor expansion of re in im
0.138 * [backup-simplify]: Simplify re into re
0.138 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.138 * [taylor]: Taking taylor expansion of im in re
0.138 * [backup-simplify]: Simplify im into im
0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.138 * [taylor]: Taking taylor expansion of re in re
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.138 * [taylor]: Taking taylor expansion of im in re
0.138 * [backup-simplify]: Simplify im into im
0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.138 * [taylor]: Taking taylor expansion of re in re
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.139 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.139 * [taylor]: Taking taylor expansion of im in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [taylor]: Taking taylor expansion of 0 in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify (+ 0 1) into 1
0.140 * [taylor]: Taking taylor expansion of 1 in im
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.140 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [taylor]: Taking taylor expansion of 0 in im
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in im
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.144 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.144 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.144 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.144 * [taylor]: Taking taylor expansion of re in im
0.144 * [backup-simplify]: Simplify re into re
0.144 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.145 * [taylor]: Taking taylor expansion of im in im
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [backup-simplify]: Simplify (* 1 1) into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.145 * [taylor]: Taking taylor expansion of re in re
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [backup-simplify]: Simplify (* 1 1) into 1
0.146 * [backup-simplify]: Simplify (/ 1 1) into 1
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.146 * [taylor]: Taking taylor expansion of im in re
0.146 * [backup-simplify]: Simplify im into im
0.146 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.146 * [taylor]: Taking taylor expansion of re in re
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.146 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.147 * [taylor]: Taking taylor expansion of im in re
0.147 * [backup-simplify]: Simplify im into im
0.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.147 * [backup-simplify]: Simplify (+ 1 0) into 1
0.147 * [taylor]: Taking taylor expansion of 1 in im
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [taylor]: Taking taylor expansion of 0 in im
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.150 * [taylor]: Taking taylor expansion of im in im
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [taylor]: Taking taylor expansion of 0 in im
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in im
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.157 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.157 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.157 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.157 * [taylor]: Taking taylor expansion of re in im
0.157 * [backup-simplify]: Simplify re into re
0.157 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.157 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.157 * [taylor]: Taking taylor expansion of im in im
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (* 1 1) into 1
0.158 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.158 * [taylor]: Taking taylor expansion of re in re
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* 1 1) into 1
0.158 * [backup-simplify]: Simplify (/ 1 1) into 1
0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.158 * [taylor]: Taking taylor expansion of im in re
0.159 * [backup-simplify]: Simplify im into im
0.159 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.159 * [taylor]: Taking taylor expansion of re in re
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.159 * [taylor]: Taking taylor expansion of im in re
0.159 * [backup-simplify]: Simplify im into im
0.160 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.160 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.160 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [taylor]: Taking taylor expansion of 1 in im
0.160 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.163 * [taylor]: Taking taylor expansion of im in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (* 1 1) into 1
0.163 * [backup-simplify]: Simplify (/ 1 1) into 1
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [taylor]: Taking taylor expansion of 0 in im
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [taylor]: Taking taylor expansion of 0 in im
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.173 * * * [progress]: simplifying candidates
0.174 * [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 (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.174 * * [simplify]: iteration 0: 48 enodes
0.183 * * [simplify]: iteration 1: 142 enodes
0.266 * * [simplify]: iteration 2: 770 enodes
0.556 * * [simplify]: iteration complete: 5000 enodes
0.556 * * [simplify]: Extracting #0: cost 28 inf + 0
0.557 * * [simplify]: Extracting #1: cost 262 inf + 4
0.572 * * [simplify]: Extracting #2: cost 1739 inf + 155
0.585 * * [simplify]: Extracting #3: cost 1667 inf + 4154
0.599 * * [simplify]: Extracting #4: cost 347 inf + 16400
0.613 * * [simplify]: Extracting #5: cost 43 inf + 19427
0.627 * * [simplify]: Extracting #6: cost 0 inf + 19785
0.641 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (pow im 4) (* (* re re) (* (+ re im) (- re im)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow re 6) (pow im 6))
  (+ (pow im 4) (* (* re re) (* (+ re im) (- re im))))
  (- (pow re 4) (pow im 4))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
0.641 * * * [progress]: adding candidates to table
0.778 * * [progress]: iteration 2 / 4
0.778 * * * [progress]: picking best candidate
0.788 * * * * [pick]: Picked  #<alt (λ (re im) (exp (log (sqrt (+ (* re re) (* im im))))))>
0.788 * * * [progress]: localizing error
0.810 * * * [progress]: generating rewritten candidates
0.810 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
0.817 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
0.828 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
0.836 * * * [progress]: generating series expansions
0.836 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
0.836 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.836 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.836 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.836 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.836 * [taylor]: Taking taylor expansion of im in im
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.836 * [taylor]: Taking taylor expansion of re in im
0.836 * [backup-simplify]: Simplify re into re
0.836 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.836 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.836 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.836 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.837 * [backup-simplify]: Simplify (+ 0 0) into 0
0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.837 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.837 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.837 * [taylor]: Taking taylor expansion of im in re
0.837 * [backup-simplify]: Simplify im into im
0.837 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.837 * [taylor]: Taking taylor expansion of re in re
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.837 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.837 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.837 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.838 * [backup-simplify]: Simplify (+ 0 0) into 0
0.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.838 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.838 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.838 * [taylor]: Taking taylor expansion of im in re
0.838 * [backup-simplify]: Simplify im into im
0.838 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.838 * [taylor]: Taking taylor expansion of re in re
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify 1 into 1
0.838 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.838 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.838 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.839 * [backup-simplify]: Simplify (+ 0 0) into 0
0.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.839 * [taylor]: Taking taylor expansion of im in im
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 1 into 1
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [taylor]: Taking taylor expansion of 0 in im
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 1 into 1
0.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.840 * [backup-simplify]: Simplify (* 1 1) into 1
0.841 * [backup-simplify]: Simplify (+ 0 1) into 1
0.841 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.841 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.842 * [taylor]: Taking taylor expansion of 1/2 in im
0.842 * [backup-simplify]: Simplify 1/2 into 1/2
0.842 * [taylor]: Taking taylor expansion of im in im
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.846 * [taylor]: Taking taylor expansion of 0 in im
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.847 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.848 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.848 * [taylor]: Taking taylor expansion of re in im
0.848 * [backup-simplify]: Simplify re into re
0.848 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.848 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.848 * [taylor]: Taking taylor expansion of im in im
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.848 * [backup-simplify]: Simplify (* 1 1) into 1
0.849 * [backup-simplify]: Simplify (/ 1 1) into 1
0.849 * [backup-simplify]: Simplify (+ 0 1) into 1
0.850 * [backup-simplify]: Simplify (sqrt 1) into 1
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (+ 0 0) into 0
0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.852 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.852 * [taylor]: Taking taylor expansion of re in re
0.852 * [backup-simplify]: Simplify 0 into 0
0.852 * [backup-simplify]: Simplify 1 into 1
0.853 * [backup-simplify]: Simplify (* 1 1) into 1
0.853 * [backup-simplify]: Simplify (/ 1 1) into 1
0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.853 * [taylor]: Taking taylor expansion of im in re
0.853 * [backup-simplify]: Simplify im into im
0.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.854 * [backup-simplify]: Simplify (+ 1 0) into 1
0.854 * [backup-simplify]: Simplify (sqrt 1) into 1
0.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.856 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.856 * [taylor]: Taking taylor expansion of re in re
0.856 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify 1 into 1
0.857 * [backup-simplify]: Simplify (* 1 1) into 1
0.857 * [backup-simplify]: Simplify (/ 1 1) into 1
0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.857 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.857 * [taylor]: Taking taylor expansion of im in re
0.857 * [backup-simplify]: Simplify im into im
0.857 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.857 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.857 * [backup-simplify]: Simplify (+ 1 0) into 1
0.858 * [backup-simplify]: Simplify (sqrt 1) into 1
0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.859 * [backup-simplify]: Simplify (+ 0 0) into 0
0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.859 * [taylor]: Taking taylor expansion of 1 in im
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [taylor]: Taking taylor expansion of 0 in im
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.861 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.861 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.861 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.862 * [taylor]: Taking taylor expansion of 1/2 in im
0.862 * [backup-simplify]: Simplify 1/2 into 1/2
0.862 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.862 * [taylor]: Taking taylor expansion of im in im
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 1 into 1
0.862 * [backup-simplify]: Simplify (* 1 1) into 1
0.862 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.865 * [backup-simplify]: Simplify (+ 0 0) into 0
0.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.865 * [taylor]: Taking taylor expansion of 0 in im
0.865 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.867 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.867 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.867 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.867 * [taylor]: Taking taylor expansion of re in im
0.867 * [backup-simplify]: Simplify re into re
0.867 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.867 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.867 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.867 * [taylor]: Taking taylor expansion of im in im
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.868 * [backup-simplify]: Simplify (* 1 1) into 1
0.868 * [backup-simplify]: Simplify (/ 1 1) into 1
0.868 * [backup-simplify]: Simplify (+ 0 1) into 1
0.868 * [backup-simplify]: Simplify (sqrt 1) into 1
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ 0 0) into 0
0.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.870 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.870 * [taylor]: Taking taylor expansion of re in re
0.870 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify 1 into 1
0.870 * [backup-simplify]: Simplify (* 1 1) into 1
0.870 * [backup-simplify]: Simplify (/ 1 1) into 1
0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.870 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.870 * [taylor]: Taking taylor expansion of im in re
0.870 * [backup-simplify]: Simplify im into im
0.870 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.871 * [backup-simplify]: Simplify (+ 1 0) into 1
0.871 * [backup-simplify]: Simplify (sqrt 1) into 1
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.872 * [backup-simplify]: Simplify (+ 0 0) into 0
0.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.873 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.873 * [taylor]: Taking taylor expansion of re in re
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 1 into 1
0.873 * [backup-simplify]: Simplify (* 1 1) into 1
0.873 * [backup-simplify]: Simplify (/ 1 1) into 1
0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.873 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.873 * [taylor]: Taking taylor expansion of im in re
0.873 * [backup-simplify]: Simplify im into im
0.873 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.874 * [backup-simplify]: Simplify (+ 1 0) into 1
0.874 * [backup-simplify]: Simplify (sqrt 1) into 1
0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (+ 0 0) into 0
0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.875 * [taylor]: Taking taylor expansion of 1 in im
0.875 * [backup-simplify]: Simplify 1 into 1
0.875 * [taylor]: Taking taylor expansion of 0 in im
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 1 into 1
0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.877 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.877 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.877 * [taylor]: Taking taylor expansion of 1/2 in im
0.878 * [backup-simplify]: Simplify 1/2 into 1/2
0.878 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.878 * [taylor]: Taking taylor expansion of im in im
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (* 1 1) into 1
0.878 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.880 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.881 * [backup-simplify]: Simplify (+ 0 0) into 0
0.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.881 * [taylor]: Taking taylor expansion of 0 in im
0.881 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.882 * * * * [progress]: [ 2 / 3 ] generating series at (2)
0.883 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
0.883 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.883 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
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 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.883 * [taylor]: Taking taylor expansion of re in im
0.883 * [backup-simplify]: Simplify re into re
0.883 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.883 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.883 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.883 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.884 * [backup-simplify]: Simplify (+ 0 0) into 0
0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.884 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.884 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.884 * [taylor]: Taking taylor expansion of im in re
0.884 * [backup-simplify]: Simplify im into im
0.884 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.884 * [taylor]: Taking taylor expansion of re in re
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.884 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.885 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.885 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.885 * [backup-simplify]: Simplify (+ 0 0) into 0
0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.885 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.885 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.885 * [taylor]: Taking taylor expansion of im in re
0.885 * [backup-simplify]: Simplify im into im
0.885 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.885 * [taylor]: Taking taylor expansion of re in re
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.886 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.886 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.886 * [backup-simplify]: Simplify (+ 0 0) into 0
0.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.887 * [taylor]: Taking taylor expansion of im in im
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 1 into 1
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [taylor]: Taking taylor expansion of 0 in im
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 1 into 1
0.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.888 * [backup-simplify]: Simplify (* 1 1) into 1
0.888 * [backup-simplify]: Simplify (+ 0 1) into 1
0.889 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.889 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.889 * [taylor]: Taking taylor expansion of 1/2 in im
0.889 * [backup-simplify]: Simplify 1/2 into 1/2
0.889 * [taylor]: Taking taylor expansion of im in im
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.892 * [backup-simplify]: Simplify (+ 0 0) into 0
0.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.893 * [taylor]: Taking taylor expansion of 0 in im
0.893 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.894 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.894 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.894 * [taylor]: Taking taylor expansion of re in im
0.894 * [backup-simplify]: Simplify re into re
0.895 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.895 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.895 * [taylor]: Taking taylor expansion of im in im
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (* 1 1) into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [backup-simplify]: Simplify (+ 0 1) into 1
0.896 * [backup-simplify]: Simplify (sqrt 1) into 1
0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.898 * [backup-simplify]: Simplify (+ 0 0) into 0
0.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.899 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.899 * [taylor]: Taking taylor expansion of re in re
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify 1 into 1
0.899 * [backup-simplify]: Simplify (* 1 1) into 1
0.899 * [backup-simplify]: Simplify (/ 1 1) into 1
0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.899 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.900 * [taylor]: Taking taylor expansion of im in re
0.900 * [backup-simplify]: Simplify im into im
0.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.900 * [backup-simplify]: Simplify (+ 1 0) into 1
0.900 * [backup-simplify]: Simplify (sqrt 1) into 1
0.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.901 * [backup-simplify]: Simplify (+ 0 0) into 0
0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.902 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.902 * [taylor]: Taking taylor expansion of re in re
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify 1 into 1
0.902 * [backup-simplify]: Simplify (* 1 1) into 1
0.902 * [backup-simplify]: Simplify (/ 1 1) into 1
0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.902 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.902 * [taylor]: Taking taylor expansion of im in re
0.902 * [backup-simplify]: Simplify im into im
0.902 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.903 * [backup-simplify]: Simplify (+ 1 0) into 1
0.903 * [backup-simplify]: Simplify (sqrt 1) into 1
0.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.904 * [backup-simplify]: Simplify (+ 0 0) into 0
0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.905 * [taylor]: Taking taylor expansion of 1 in im
0.905 * [backup-simplify]: Simplify 1 into 1
0.905 * [taylor]: Taking taylor expansion of 0 in im
0.905 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify 1 into 1
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.907 * [taylor]: Taking taylor expansion of 1/2 in im
0.907 * [backup-simplify]: Simplify 1/2 into 1/2
0.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.907 * [taylor]: Taking taylor expansion of im in im
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 1 into 1
0.907 * [backup-simplify]: Simplify (* 1 1) into 1
0.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.910 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.911 * [taylor]: Taking taylor expansion of 0 in im
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.912 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.912 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.912 * [taylor]: Taking taylor expansion of re in im
0.912 * [backup-simplify]: Simplify re into re
0.912 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.913 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.913 * [taylor]: Taking taylor expansion of im in im
0.913 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify 1 into 1
0.913 * [backup-simplify]: Simplify (* 1 1) into 1
0.913 * [backup-simplify]: Simplify (/ 1 1) into 1
0.914 * [backup-simplify]: Simplify (+ 0 1) into 1
0.914 * [backup-simplify]: Simplify (sqrt 1) into 1
0.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.915 * [backup-simplify]: Simplify (+ 0 0) into 0
0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.915 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.915 * [taylor]: Taking taylor expansion of re in re
0.915 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify 1 into 1
0.916 * [backup-simplify]: Simplify (* 1 1) into 1
0.916 * [backup-simplify]: Simplify (/ 1 1) into 1
0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.916 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.916 * [taylor]: Taking taylor expansion of im in re
0.916 * [backup-simplify]: Simplify im into im
0.916 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.916 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.916 * [backup-simplify]: Simplify (+ 1 0) into 1
0.917 * [backup-simplify]: Simplify (sqrt 1) into 1
0.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.918 * [backup-simplify]: Simplify (+ 0 0) into 0
0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.918 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.918 * [taylor]: Taking taylor expansion of re in re
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
0.919 * [backup-simplify]: Simplify (/ 1 1) into 1
0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.919 * [taylor]: Taking taylor expansion of im in re
0.919 * [backup-simplify]: Simplify im into im
0.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.919 * [backup-simplify]: Simplify (+ 1 0) into 1
0.919 * [backup-simplify]: Simplify (sqrt 1) into 1
0.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.921 * [backup-simplify]: Simplify (+ 0 0) into 0
0.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.921 * [taylor]: Taking taylor expansion of 1 in im
0.921 * [backup-simplify]: Simplify 1 into 1
0.921 * [taylor]: Taking taylor expansion of 0 in im
0.921 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify 1 into 1
0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.924 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.924 * [taylor]: Taking taylor expansion of 1/2 in im
0.924 * [backup-simplify]: Simplify 1/2 into 1/2
0.924 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.924 * [taylor]: Taking taylor expansion of im in im
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 1 into 1
0.924 * [backup-simplify]: Simplify (* 1 1) into 1
0.924 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.927 * [backup-simplify]: Simplify (+ 0 0) into 0
0.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.927 * [taylor]: Taking taylor expansion of 0 in im
0.927 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.929 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
0.929 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.929 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.929 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.929 * [taylor]: Taking taylor expansion of im in im
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 1 into 1
0.929 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.929 * [taylor]: Taking taylor expansion of re in im
0.929 * [backup-simplify]: Simplify re into re
0.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.929 * [taylor]: Taking taylor expansion of im in re
0.929 * [backup-simplify]: Simplify im into im
0.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.929 * [taylor]: Taking taylor expansion of re in re
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 1 into 1
0.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.929 * [taylor]: Taking taylor expansion of im in re
0.929 * [backup-simplify]: Simplify im into im
0.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.929 * [taylor]: Taking taylor expansion of re in re
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 1 into 1
0.929 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.929 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.929 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.929 * [taylor]: Taking taylor expansion of im in im
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 1 into 1
0.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.932 * [backup-simplify]: Simplify (+ 0 0) into 0
0.932 * [taylor]: Taking taylor expansion of 0 in im
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.934 * [backup-simplify]: Simplify (* 1 1) into 1
0.934 * [backup-simplify]: Simplify (+ 0 1) into 1
0.934 * [taylor]: Taking taylor expansion of 1 in im
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify (* 1 1) into 1
0.935 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.937 * [backup-simplify]: Simplify (+ 0 0) into 0
0.937 * [taylor]: Taking taylor expansion of 0 in im
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.940 * [backup-simplify]: Simplify (+ 0 0) into 0
0.940 * [taylor]: Taking taylor expansion of 0 in im
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.941 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.941 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.941 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.941 * [taylor]: Taking taylor expansion of re in im
0.941 * [backup-simplify]: Simplify re into re
0.941 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.941 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.941 * [taylor]: Taking taylor expansion of im in im
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify (* 1 1) into 1
0.942 * [backup-simplify]: Simplify (/ 1 1) into 1
0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.942 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.942 * [taylor]: Taking taylor expansion of re in re
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 1 into 1
0.943 * [backup-simplify]: Simplify (* 1 1) into 1
0.943 * [backup-simplify]: Simplify (/ 1 1) into 1
0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.943 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.943 * [taylor]: Taking taylor expansion of im in re
0.943 * [backup-simplify]: Simplify im into im
0.943 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.944 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.944 * [taylor]: Taking taylor expansion of re in re
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify 1 into 1
0.944 * [backup-simplify]: Simplify (* 1 1) into 1
0.945 * [backup-simplify]: Simplify (/ 1 1) into 1
0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.945 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.945 * [taylor]: Taking taylor expansion of im in re
0.945 * [backup-simplify]: Simplify im into im
0.945 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.945 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.945 * [backup-simplify]: Simplify (+ 1 0) into 1
0.945 * [taylor]: Taking taylor expansion of 1 in im
0.946 * [backup-simplify]: Simplify 1 into 1
0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (+ 0 0) into 0
0.947 * [taylor]: Taking taylor expansion of 0 in im
0.947 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.949 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.950 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.950 * [taylor]: Taking taylor expansion of im in im
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 1 into 1
0.950 * [backup-simplify]: Simplify (* 1 1) into 1
0.950 * [backup-simplify]: Simplify (/ 1 1) into 1
0.950 * [backup-simplify]: Simplify 1 into 1
0.951 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.953 * [backup-simplify]: Simplify (+ 0 0) into 0
0.953 * [taylor]: Taking taylor expansion of 0 in im
0.953 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.958 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.959 * [backup-simplify]: Simplify (+ 0 0) into 0
0.959 * [taylor]: Taking taylor expansion of 0 in im
0.959 * [backup-simplify]: Simplify 0 into 0
0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.961 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.961 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.962 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.962 * [taylor]: Taking taylor expansion of re in im
0.962 * [backup-simplify]: Simplify re into re
0.962 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.962 * [taylor]: Taking taylor expansion of im in im
0.962 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify 1 into 1
0.962 * [backup-simplify]: Simplify (* 1 1) into 1
0.963 * [backup-simplify]: Simplify (/ 1 1) into 1
0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.963 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.963 * [taylor]: Taking taylor expansion of re in re
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 1 into 1
0.964 * [backup-simplify]: Simplify (* 1 1) into 1
0.964 * [backup-simplify]: Simplify (/ 1 1) into 1
0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.964 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.964 * [taylor]: Taking taylor expansion of im in re
0.964 * [backup-simplify]: Simplify im into im
0.964 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.965 * [taylor]: Taking taylor expansion of re in re
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 1 into 1
0.965 * [backup-simplify]: Simplify (* 1 1) into 1
0.965 * [backup-simplify]: Simplify (/ 1 1) into 1
0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.965 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.965 * [taylor]: Taking taylor expansion of im in re
0.966 * [backup-simplify]: Simplify im into im
0.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.966 * [backup-simplify]: Simplify (+ 1 0) into 1
0.966 * [taylor]: Taking taylor expansion of 1 in im
0.966 * [backup-simplify]: Simplify 1 into 1
0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.968 * [backup-simplify]: Simplify (+ 0 0) into 0
0.968 * [taylor]: Taking taylor expansion of 0 in im
0.968 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.971 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.971 * [taylor]: Taking taylor expansion of im in im
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 1 into 1
0.971 * [backup-simplify]: Simplify (* 1 1) into 1
0.971 * [backup-simplify]: Simplify (/ 1 1) into 1
0.972 * [backup-simplify]: Simplify 1 into 1
0.972 * [backup-simplify]: Simplify 1 into 1
0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.974 * [backup-simplify]: Simplify (+ 0 0) into 0
0.974 * [taylor]: Taking taylor expansion of 0 in im
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 0 into 0
0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.979 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.980 * [backup-simplify]: Simplify (+ 0 0) into 0
0.980 * [taylor]: Taking taylor expansion of 0 in im
0.980 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.983 * * * [progress]: simplifying candidates
0.984 * [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 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.986 * * [simplify]: iteration 0: 87 enodes
1.013 * * [simplify]: iteration 1: 191 enodes
1.082 * * [simplify]: iteration 2: 919 enodes
1.496 * * [simplify]: iteration complete: 5001 enodes
1.496 * * [simplify]: Extracting #0: cost 32 inf + 0
1.498 * * [simplify]: Extracting #1: cost 361 inf + 7
1.504 * * [simplify]: Extracting #2: cost 1696 inf + 574
1.516 * * [simplify]: Extracting #3: cost 1393 inf + 10629
1.539 * * [simplify]: Extracting #4: cost 157 inf + 22815
1.548 * * [simplify]: Extracting #5: cost 21 inf + 23845
1.556 * * [simplify]: Extracting #6: cost 0 inf + 24004
1.563 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (pow (exp 2) (log (cbrt (sqrt (+ (* im im) (* re re))))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt E)
  E
  (sqrt E)
  (exp (* (cbrt (log (sqrt (+ (* im im) (* re re))))) (cbrt (log (sqrt (+ (* im im) (* re re)))))))
  (exp (sqrt (log (sqrt (+ (* im im) (* re re))))))
  E
  (pow (exp 2) (log (cbrt (sqrt (+ (* im im) (* re re))))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (* (+ re im) (- re im)))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (pow (exp 2) (log (cbrt (sqrt (+ (* im im) (* re re))))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (pow (+ (* im im) (* re re)) 3)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (pow re 6) (pow im 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
1.563 * * * [progress]: adding candidates to table
1.807 * * [progress]: iteration 3 / 4
1.807 * * * [progress]: picking best candidate
1.823 * * * * [pick]: Picked  #<alt (λ (re im) (pow (sqrt E) (log (+ (* re re) (* im im)))))>
1.823 * * * [progress]: localizing error