24.139 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.026 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.027 * [simplify]: Sending expressions to egg_math:
 (* h3 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
0.029 * * [simplify]: iteration  0 :  22  enodes  (cost  8 )
0.030 * * [simplify]: iteration  1 :  24  enodes  (cost  8 )
0.031 * * [simplify]: iteration  2 :  24  enodes  (cost  8 )
0.032 * * [progress]: iteration 1 / 4
0.032 * * * [progress]: picking best candidate
0.034 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.034 * * * [progress]: localizing error
0.044 * * * [progress]: generating rewritten candidates
0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1)
0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2)
0.082 * * * [progress]: generating series expansions
0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1)
0.082 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.083 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.083 * [taylor]: Taking taylor expansion of re in im
0.083 * [backup-simplify]: Simplify re into re
0.083 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.083 * [taylor]: Taking taylor expansion of im in im
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.083 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.083 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.083 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.084 * [taylor]: Taking taylor expansion of re in re
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.084 * [taylor]: Taking taylor expansion of im in re
0.084 * [backup-simplify]: Simplify im into im
0.084 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.084 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.084 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.084 * [taylor]: Taking taylor expansion of re in re
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.084 * [taylor]: Taking taylor expansion of im in re
0.084 * [backup-simplify]: Simplify im into im
0.084 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.085 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.085 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.085 * [taylor]: Taking taylor expansion of im in im
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [taylor]: Taking taylor expansion of 0 in im
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.086 * [backup-simplify]: Simplify (+ 1 0) into 1
0.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.087 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.087 * [taylor]: Taking taylor expansion of 1/2 in im
0.087 * [backup-simplify]: Simplify 1/2 into 1/2
0.087 * [taylor]: Taking taylor expansion of im in im
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.089 * [taylor]: Taking taylor expansion of 0 in im
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.090 * [taylor]: Taking taylor expansion of im in im
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.090 * [taylor]: Taking taylor expansion of re in im
0.090 * [backup-simplify]: Simplify re into re
0.090 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.091 * [backup-simplify]: Simplify (sqrt 1) into 1
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.092 * [taylor]: Taking taylor expansion of im in re
0.092 * [backup-simplify]: Simplify im into im
0.092 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.093 * [taylor]: Taking taylor expansion of re in re
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (* 1 1) into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [backup-simplify]: Simplify (+ 0 1) into 1
0.094 * [backup-simplify]: Simplify (sqrt 1) into 1
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.095 * [taylor]: Taking taylor expansion of im in re
0.095 * [backup-simplify]: Simplify im into im
0.095 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.095 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.095 * [taylor]: Taking taylor expansion of re in re
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.096 * [backup-simplify]: Simplify (+ 0 1) into 1
0.096 * [backup-simplify]: Simplify (sqrt 1) into 1
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.098 * [taylor]: Taking taylor expansion of 1 in im
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [taylor]: Taking taylor expansion of 0 in im
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.100 * [taylor]: Taking taylor expansion of 1/2 in im
0.100 * [backup-simplify]: Simplify 1/2 into 1/2
0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.100 * [taylor]: Taking taylor expansion of im in im
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (* 1 1) into 1
0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 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 (pow im 2)))))) (* 2 1)) into 0
0.103 * [taylor]: Taking taylor expansion of 0 in im
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.104 * [taylor]: Taking taylor expansion of im in im
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.107 * [taylor]: Taking taylor expansion of im in re
0.107 * [backup-simplify]: Simplify im into im
0.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.107 * [taylor]: Taking taylor expansion of re in re
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.110 * [taylor]: Taking taylor expansion of im in re
0.110 * [backup-simplify]: Simplify im into im
0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.110 * [taylor]: Taking taylor expansion of re in re
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [backup-simplify]: Simplify (+ 0 1) into 1
0.111 * [backup-simplify]: Simplify (sqrt 1) into 1
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.113 * [taylor]: Taking taylor expansion of 1 in im
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of 0 in im
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.115 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.115 * [taylor]: Taking taylor expansion of 1/2 in im
0.115 * [backup-simplify]: Simplify 1/2 into 1/2
0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.115 * [taylor]: Taking taylor expansion of im in im
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.118 * [taylor]: Taking taylor expansion of 0 in im
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.120 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2)
0.120 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.120 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.120 * [taylor]: Taking taylor expansion of re in im
0.120 * [backup-simplify]: Simplify re into re
0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.120 * [taylor]: Taking taylor expansion of re in im
0.120 * [backup-simplify]: Simplify re into re
0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.120 * [taylor]: Taking taylor expansion of im in im
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.120 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.120 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.120 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.121 * [taylor]: Taking taylor expansion of re in re
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.121 * [taylor]: Taking taylor expansion of re in re
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.121 * [taylor]: Taking taylor expansion of im in re
0.121 * [backup-simplify]: Simplify im into im
0.121 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.121 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.121 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.121 * [taylor]: Taking taylor expansion of re in re
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.122 * [taylor]: Taking taylor expansion of re in re
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.122 * [taylor]: Taking taylor expansion of im in re
0.122 * [backup-simplify]: Simplify im into im
0.122 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.122 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.122 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 im) into 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 0 into 0
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [taylor]: Taking taylor expansion of 1 in im
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.124 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.124 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.124 * [taylor]: Taking taylor expansion of 1/2 in im
0.124 * [backup-simplify]: Simplify 1/2 into 1/2
0.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.124 * [taylor]: Taking taylor expansion of im in im
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [taylor]: Taking taylor expansion of 0 in im
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.128 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.128 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.128 * [taylor]: Taking taylor expansion of re in im
0.128 * [backup-simplify]: Simplify re into re
0.128 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.128 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.128 * [taylor]: Taking taylor expansion of im in im
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.129 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.129 * [taylor]: Taking taylor expansion of re in im
0.129 * [backup-simplify]: Simplify re into re
0.129 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.129 * [backup-simplify]: Simplify (+ 1 0) into 1
0.129 * [backup-simplify]: Simplify (sqrt 1) into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.131 * [taylor]: Taking taylor expansion of re in re
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.131 * [taylor]: Taking taylor expansion of im in re
0.131 * [backup-simplify]: Simplify im into im
0.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.131 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.131 * [taylor]: Taking taylor expansion of re in re
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [backup-simplify]: Simplify (+ 0 1) into 1
0.132 * [backup-simplify]: Simplify (sqrt 1) into 1
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.134 * [taylor]: Taking taylor expansion of re in re
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (/ 1 1) into 1
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.134 * [taylor]: Taking taylor expansion of im in re
0.134 * [backup-simplify]: Simplify im into im
0.134 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.134 * [taylor]: Taking taylor expansion of re in re
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.135 * [backup-simplify]: Simplify (/ 1 1) into 1
0.135 * [backup-simplify]: Simplify (+ 0 1) into 1
0.135 * [backup-simplify]: Simplify (sqrt 1) into 1
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.137 * [backup-simplify]: Simplify (+ 1 1) into 2
0.137 * [taylor]: Taking taylor expansion of 2 in im
0.137 * [backup-simplify]: Simplify 2 into 2
0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [taylor]: Taking taylor expansion of 0 in im
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 2 into 2
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.140 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.140 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.140 * [taylor]: Taking taylor expansion of 1/2 in im
0.141 * [backup-simplify]: Simplify 1/2 into 1/2
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.141 * [taylor]: Taking taylor expansion of im in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) 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
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in im
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.147 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.147 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.147 * [taylor]: Taking taylor expansion of im in im
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.147 * [taylor]: Taking taylor expansion of re in im
0.148 * [backup-simplify]: Simplify re into re
0.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.148 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [backup-simplify]: Simplify (sqrt 1) into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.152 * [taylor]: Taking taylor expansion of re in im
0.152 * [backup-simplify]: Simplify re into re
0.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.153 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.153 * [taylor]: Taking taylor expansion of im in re
0.153 * [backup-simplify]: Simplify im into im
0.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.153 * [taylor]: Taking taylor expansion of re in re
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [backup-simplify]: Simplify (+ 0 1) into 1
0.154 * [backup-simplify]: Simplify (sqrt 1) into 1
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.155 * [taylor]: Taking taylor expansion of re in re
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.156 * [taylor]: Taking taylor expansion of im in re
0.156 * [backup-simplify]: Simplify im into im
0.156 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.156 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.156 * [taylor]: Taking taylor expansion of re in re
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [backup-simplify]: Simplify (+ 0 1) into 1
0.157 * [backup-simplify]: Simplify (sqrt 1) into 1
0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.158 * [taylor]: Taking taylor expansion of (/ 1 re) 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
0.159 * [backup-simplify]: Simplify (- 1) into -1
0.159 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in im
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (- 0) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [taylor]: Taking taylor expansion of 0 in im
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.162 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (- 0) into 0
0.163 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.163 * [taylor]: Taking taylor expansion of 1/2 in im
0.163 * [backup-simplify]: Simplify 1/2 into 1/2
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 0) (* 0 1)) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (- 0) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [taylor]: Taking taylor expansion of 0 in im
0.167 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * * * [progress]: simplifying candidates
0.169 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
0.169 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1))
 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))
 (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))
 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
0.172 * * [simplify]: iteration  0 :  141  enodes  (cost  198 )
0.175 * * [simplify]: iteration  1 :  358  enodes  (cost  186 )
0.182 * * [simplify]: iteration  2 :  866  enodes  (cost  182 )
0.199 * * [simplify]: iteration  3 :  2557  enodes  (cost  181 )
0.246 * * [simplify]: iteration  4 :  5001  enodes  (cost  181 )
0.248 * * * [progress]: adding candidates to table
0.340 * * [progress]: iteration 2 / 4
0.340 * * * [progress]: picking best candidate
0.351 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.351 * * * [progress]: localizing error
0.364 * * * [progress]: generating rewritten candidates
0.364 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
0.371 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
0.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
0.408 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
0.465 * * * [progress]: generating series expansions
0.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
0.465 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.465 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.465 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.465 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.465 * [taylor]: Taking taylor expansion of re in im
0.465 * [backup-simplify]: Simplify re into re
0.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.465 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.465 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.466 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.466 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.466 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.466 * [taylor]: Taking taylor expansion of re in re
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.466 * [taylor]: Taking taylor expansion of im in re
0.466 * [backup-simplify]: Simplify im into im
0.466 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.466 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.466 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.467 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.467 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.467 * [taylor]: Taking taylor expansion of re in re
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.467 * [taylor]: Taking taylor expansion of im in re
0.467 * [backup-simplify]: Simplify im into im
0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.467 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.467 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.468 * [taylor]: Taking taylor expansion of im in im
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [taylor]: Taking taylor expansion of 0 in im
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [backup-simplify]: Simplify (* 1 1) into 1
0.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.469 * [backup-simplify]: Simplify (+ 1 0) into 1
0.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.469 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.469 * [taylor]: Taking taylor expansion of 1/2 in im
0.469 * [backup-simplify]: Simplify 1/2 into 1/2
0.469 * [taylor]: Taking taylor expansion of im in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.471 * [taylor]: Taking taylor expansion of 0 in im
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.472 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.472 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.472 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.472 * [taylor]: Taking taylor expansion of im in im
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.473 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.473 * [taylor]: Taking taylor expansion of re in im
0.473 * [backup-simplify]: Simplify re into re
0.473 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.473 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.473 * [backup-simplify]: Simplify (+ 1 0) into 1
0.474 * [backup-simplify]: Simplify (sqrt 1) into 1
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.475 * [taylor]: Taking taylor expansion of im in re
0.475 * [backup-simplify]: Simplify im into im
0.475 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.475 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [backup-simplify]: Simplify (+ 0 1) into 1
0.476 * [backup-simplify]: Simplify (sqrt 1) into 1
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.478 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.478 * [taylor]: Taking taylor expansion of im in re
0.478 * [backup-simplify]: Simplify im into im
0.478 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.478 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.478 * [taylor]: Taking taylor expansion of re in re
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (* 1 1) into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [backup-simplify]: Simplify (+ 0 1) into 1
0.479 * [backup-simplify]: Simplify (sqrt 1) into 1
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.480 * [taylor]: Taking taylor expansion of 1 in im
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [taylor]: Taking taylor expansion of 0 in im
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.482 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.482 * [taylor]: Taking taylor expansion of 1/2 in im
0.482 * [backup-simplify]: Simplify 1/2 into 1/2
0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.482 * [taylor]: Taking taylor expansion of im in im
0.482 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.486 * [taylor]: Taking taylor expansion of 0 in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.487 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.487 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.487 * [taylor]: Taking taylor expansion of im in im
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.488 * [backup-simplify]: Simplify (/ 1 1) into 1
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.488 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.488 * [taylor]: Taking taylor expansion of re in im
0.488 * [backup-simplify]: Simplify re into re
0.488 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.488 * [backup-simplify]: Simplify (+ 1 0) into 1
0.489 * [backup-simplify]: Simplify (sqrt 1) into 1
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.490 * [taylor]: Taking taylor expansion of im in re
0.490 * [backup-simplify]: Simplify im into im
0.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.490 * [taylor]: Taking taylor expansion of re in re
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* 1 1) into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [backup-simplify]: Simplify (+ 0 1) into 1
0.491 * [backup-simplify]: Simplify (sqrt 1) into 1
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.493 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.493 * [taylor]: Taking taylor expansion of im in re
0.493 * [backup-simplify]: Simplify im into im
0.493 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.493 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.493 * [taylor]: Taking taylor expansion of re in re
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (* 1 1) into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.495 * [taylor]: Taking taylor expansion of 1 in im
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [taylor]: Taking taylor expansion of 0 in im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.497 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.497 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.497 * [taylor]: Taking taylor expansion of 1/2 in im
0.497 * [backup-simplify]: Simplify 1/2 into 1/2
0.497 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.497 * [taylor]: Taking taylor expansion of im in im
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (* 1 1) into 1
0.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in im
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
0.502 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.502 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.502 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.502 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.502 * [taylor]: Taking taylor expansion of re in im
0.502 * [backup-simplify]: Simplify re into re
0.502 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.502 * [taylor]: Taking taylor expansion of im in im
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.503 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.503 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.503 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.503 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.503 * [taylor]: Taking taylor expansion of re in re
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.503 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.503 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.503 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.504 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.504 * [taylor]: Taking taylor expansion of im in re
0.504 * [backup-simplify]: Simplify im into im
0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.504 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.504 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.505 * [taylor]: Taking taylor expansion of im in im
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [taylor]: Taking taylor expansion of 0 in im
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (* 1 1) into 1
0.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.505 * [backup-simplify]: Simplify (+ 1 0) into 1
0.506 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.506 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.506 * [taylor]: Taking taylor expansion of 1/2 in im
0.506 * [backup-simplify]: Simplify 1/2 into 1/2
0.506 * [taylor]: Taking taylor expansion of im in im
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.508 * [taylor]: Taking taylor expansion of 0 in im
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.509 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.509 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.509 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.509 * [taylor]: Taking taylor expansion of im in im
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.510 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.510 * [taylor]: Taking taylor expansion of re in im
0.510 * [backup-simplify]: Simplify re into re
0.510 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.510 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.510 * [backup-simplify]: Simplify (+ 1 0) into 1
0.510 * [backup-simplify]: Simplify (sqrt 1) into 1
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.512 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.512 * [taylor]: Taking taylor expansion of im in re
0.512 * [backup-simplify]: Simplify im into im
0.512 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.512 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.512 * [taylor]: Taking taylor expansion of re in re
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (/ 1 1) into 1
0.513 * [backup-simplify]: Simplify (+ 0 1) into 1
0.513 * [backup-simplify]: Simplify (sqrt 1) into 1
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.514 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.514 * [taylor]: Taking taylor expansion of im in re
0.514 * [backup-simplify]: Simplify im into im
0.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.515 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.515 * [taylor]: Taking taylor expansion of re in re
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [backup-simplify]: Simplify (+ 0 1) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of 1 in im
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [taylor]: Taking taylor expansion of 0 in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.519 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.519 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.519 * [taylor]: Taking taylor expansion of 1/2 in im
0.519 * [backup-simplify]: Simplify 1/2 into 1/2
0.519 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.519 * [taylor]: Taking taylor expansion of im in im
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.522 * [taylor]: Taking taylor expansion of 0 in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.524 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.524 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.524 * [taylor]: Taking taylor expansion of im in im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (* 1 1) into 1
0.524 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.524 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.524 * [taylor]: Taking taylor expansion of re in im
0.524 * [backup-simplify]: Simplify re into re
0.524 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.524 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.525 * [backup-simplify]: Simplify (+ 1 0) into 1
0.525 * [backup-simplify]: Simplify (sqrt 1) into 1
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.526 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.526 * [taylor]: Taking taylor expansion of im in re
0.526 * [backup-simplify]: Simplify im into im
0.526 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.527 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.527 * [taylor]: Taking taylor expansion of re in re
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.528 * [backup-simplify]: Simplify (sqrt 1) into 1
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.529 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.529 * [taylor]: Taking taylor expansion of im in re
0.529 * [backup-simplify]: Simplify im into im
0.529 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.529 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.529 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [backup-simplify]: Simplify (+ 0 1) into 1
0.530 * [backup-simplify]: Simplify (sqrt 1) into 1
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.532 * [taylor]: Taking taylor expansion of 1 in im
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [taylor]: Taking taylor expansion of 0 in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.534 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.534 * [taylor]: Taking taylor expansion of 1/2 in im
0.534 * [backup-simplify]: Simplify 1/2 into 1/2
0.534 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.534 * [taylor]: Taking taylor expansion of im in im
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.537 * [taylor]: Taking taylor expansion of 0 in im
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.538 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
0.539 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.539 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.539 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.539 * [taylor]: Taking taylor expansion of re in im
0.539 * [backup-simplify]: Simplify re into re
0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.539 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.539 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.539 * [taylor]: Taking taylor expansion of re in im
0.539 * [backup-simplify]: Simplify re into re
0.539 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.539 * [taylor]: Taking taylor expansion of im in im
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.539 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.539 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.539 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.540 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.540 * [taylor]: Taking taylor expansion of re in re
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.540 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.540 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.540 * [taylor]: Taking taylor expansion of re in re
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.540 * [taylor]: Taking taylor expansion of im in re
0.540 * [backup-simplify]: Simplify im into im
0.540 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.540 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.540 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.540 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.540 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.540 * [taylor]: Taking taylor expansion of re in re
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.540 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.540 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.541 * [taylor]: Taking taylor expansion of re in re
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.541 * [taylor]: Taking taylor expansion of im in re
0.541 * [backup-simplify]: Simplify im into im
0.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.541 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.541 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.541 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 im) into im
0.541 * [taylor]: Taking taylor expansion of im in im
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ 1 0) into 1
0.542 * [taylor]: Taking taylor expansion of 1 in im
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.542 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.542 * [backup-simplify]: Simplify (+ 1 0) into 1
0.543 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.543 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.543 * [taylor]: Taking taylor expansion of 1/2 in im
0.543 * [backup-simplify]: Simplify 1/2 into 1/2
0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.543 * [taylor]: Taking taylor expansion of im in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.545 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.545 * [backup-simplify]: Simplify (+ 0 0) into 0
0.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.545 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [taylor]: Taking taylor expansion of 0 in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.547 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.547 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.547 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.547 * [taylor]: Taking taylor expansion of re in im
0.547 * [backup-simplify]: Simplify re into re
0.547 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.547 * [taylor]: Taking taylor expansion of im in im
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.548 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.548 * [taylor]: Taking taylor expansion of re in im
0.548 * [backup-simplify]: Simplify re into re
0.548 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.548 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.548 * [backup-simplify]: Simplify (+ 1 0) into 1
0.549 * [backup-simplify]: Simplify (sqrt 1) into 1
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.550 * [taylor]: Taking taylor expansion of re in re
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (/ 1 1) into 1
0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.550 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.550 * [taylor]: Taking taylor expansion of im in re
0.550 * [backup-simplify]: Simplify im into im
0.551 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.551 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.551 * [taylor]: Taking taylor expansion of re in re
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify (* 1 1) into 1
0.551 * [backup-simplify]: Simplify (/ 1 1) into 1
0.551 * [backup-simplify]: Simplify (+ 0 1) into 1
0.552 * [backup-simplify]: Simplify (sqrt 1) into 1
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (/ 1 1) into 1
0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.553 * [taylor]: Taking taylor expansion of im in re
0.553 * [backup-simplify]: Simplify im into im
0.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.554 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.554 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.554 * [taylor]: Taking taylor expansion of re in re
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [backup-simplify]: Simplify (+ 0 1) into 1
0.555 * [backup-simplify]: Simplify (sqrt 1) into 1
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.556 * [backup-simplify]: Simplify (+ 1 1) into 2
0.556 * [taylor]: Taking taylor expansion of 2 in im
0.556 * [backup-simplify]: Simplify 2 into 2
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [taylor]: Taking taylor expansion of 0 in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 2 into 2
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.562 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.562 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.562 * [taylor]: Taking taylor expansion of 1/2 in im
0.562 * [backup-simplify]: Simplify 1/2 into 1/2
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.562 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.562 * [taylor]: Taking taylor expansion of im in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.567 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [taylor]: Taking taylor expansion of 0 in im
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.569 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.569 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.569 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.569 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.569 * [taylor]: Taking taylor expansion of im in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (* 1 1) into 1
0.570 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.570 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.570 * [taylor]: Taking taylor expansion of re in im
0.570 * [backup-simplify]: Simplify re into re
0.570 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.570 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.570 * [backup-simplify]: Simplify (+ 1 0) into 1
0.570 * [backup-simplify]: Simplify (sqrt 1) into 1
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.572 * [taylor]: Taking taylor expansion of re in im
0.572 * [backup-simplify]: Simplify re into re
0.572 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.572 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [backup-simplify]: Simplify (+ 0 1) into 1
0.573 * [backup-simplify]: Simplify (sqrt 1) into 1
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (+ 0 0) into 0
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.574 * [taylor]: Taking taylor expansion of re in re
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (/ 1 1) into 1
0.575 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.575 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.575 * [taylor]: Taking taylor expansion of im in re
0.575 * [backup-simplify]: Simplify im into im
0.575 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.575 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.575 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.575 * [taylor]: Taking taylor expansion of re in re
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (* 1 1) into 1
0.575 * [backup-simplify]: Simplify (/ 1 1) into 1
0.576 * [backup-simplify]: Simplify (+ 0 1) into 1
0.576 * [backup-simplify]: Simplify (sqrt 1) into 1
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.577 * [taylor]: Taking taylor expansion of re in re
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [backup-simplify]: Simplify (- 1) into -1
0.578 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- 0) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [taylor]: Taking taylor expansion of 0 in im
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.581 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (- 0) into 0
0.582 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.582 * [taylor]: Taking taylor expansion of 1/2 in im
0.582 * [backup-simplify]: Simplify 1/2 into 1/2
0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.582 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.582 * [taylor]: Taking taylor expansion of im in im
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (* 1 1) into 1
0.582 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (- 0) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.586 * [taylor]: Taking taylor expansion of 0 in im
0.586 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
0.588 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
0.588 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.588 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.588 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.588 * [taylor]: Taking taylor expansion of re in im
0.588 * [backup-simplify]: Simplify re into re
0.588 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.588 * [taylor]: Taking taylor expansion of im in im
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.589 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.589 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.589 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.589 * [backup-simplify]: Simplify (+ 0 0) into 0
0.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.589 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.589 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.589 * [taylor]: Taking taylor expansion of re in re
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.589 * [taylor]: Taking taylor expansion of im in re
0.589 * [backup-simplify]: Simplify im into im
0.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.589 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.589 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.590 * [backup-simplify]: Simplify (+ 0 0) into 0
0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.590 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.590 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.590 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.590 * [taylor]: Taking taylor expansion of re in re
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.590 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.590 * [taylor]: Taking taylor expansion of im in re
0.590 * [backup-simplify]: Simplify im into im
0.590 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.590 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.590 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.591 * [backup-simplify]: Simplify (+ 0 0) into 0
0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.591 * [taylor]: Taking taylor expansion of im in im
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [taylor]: Taking taylor expansion of 0 in im
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.592 * [backup-simplify]: Simplify (+ 1 0) into 1
0.592 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.592 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.592 * [taylor]: Taking taylor expansion of 1/2 in im
0.592 * [backup-simplify]: Simplify 1/2 into 1/2
0.592 * [taylor]: Taking taylor expansion of im in im
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 1 into 1
0.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.594 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.594 * [taylor]: Taking taylor expansion of 0 in im
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.595 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.595 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.595 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.595 * [taylor]: Taking taylor expansion of im in im
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.595 * [backup-simplify]: Simplify (* 1 1) into 1
0.596 * [backup-simplify]: Simplify (/ 1 1) into 1
0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.596 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.596 * [taylor]: Taking taylor expansion of re in im
0.596 * [backup-simplify]: Simplify re into re
0.596 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.596 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.596 * [backup-simplify]: Simplify (+ 1 0) into 1
0.596 * [backup-simplify]: Simplify (sqrt 1) into 1
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.598 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.598 * [taylor]: Taking taylor expansion of im in re
0.598 * [backup-simplify]: Simplify im into im
0.598 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.598 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.598 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.598 * [taylor]: Taking taylor expansion of re in re
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 1 into 1
0.598 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (/ 1 1) into 1
0.599 * [backup-simplify]: Simplify (+ 0 1) into 1
0.599 * [backup-simplify]: Simplify (sqrt 1) into 1
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (+ 0 0) into 0
0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.601 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.601 * [taylor]: Taking taylor expansion of im in re
0.601 * [backup-simplify]: Simplify im into im
0.601 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.601 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.601 * [taylor]: Taking taylor expansion of re in re
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 1 into 1
0.601 * [backup-simplify]: Simplify (* 1 1) into 1
0.601 * [backup-simplify]: Simplify (/ 1 1) into 1
0.602 * [backup-simplify]: Simplify (+ 0 1) into 1
0.602 * [backup-simplify]: Simplify (sqrt 1) into 1
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ 0 0) into 0
0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.603 * [taylor]: Taking taylor expansion of 1 in im
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [taylor]: Taking taylor expansion of 0 in im
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.605 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.605 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.605 * [taylor]: Taking taylor expansion of 1/2 in im
0.605 * [backup-simplify]: Simplify 1/2 into 1/2
0.605 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.605 * [taylor]: Taking taylor expansion of im in im
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 1 into 1
0.606 * [backup-simplify]: Simplify (* 1 1) into 1
0.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.608 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.609 * [taylor]: Taking taylor expansion of 0 in im
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.610 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.610 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.610 * [taylor]: Taking taylor expansion of im in im
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (* 1 1) into 1
0.611 * [backup-simplify]: Simplify (/ 1 1) into 1
0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.611 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.611 * [taylor]: Taking taylor expansion of re in im
0.611 * [backup-simplify]: Simplify re into re
0.611 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.611 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.611 * [backup-simplify]: Simplify (+ 1 0) into 1
0.611 * [backup-simplify]: Simplify (sqrt 1) into 1
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.613 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.613 * [taylor]: Taking taylor expansion of im in re
0.613 * [backup-simplify]: Simplify im into im
0.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.613 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.613 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.613 * [taylor]: Taking taylor expansion of re in re
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify (* 1 1) into 1
0.614 * [backup-simplify]: Simplify (/ 1 1) into 1
0.614 * [backup-simplify]: Simplify (+ 0 1) into 1
0.614 * [backup-simplify]: Simplify (sqrt 1) into 1
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.616 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.616 * [taylor]: Taking taylor expansion of im in re
0.616 * [backup-simplify]: Simplify im into im
0.616 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.616 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.616 * [taylor]: Taking taylor expansion of re in re
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 1 into 1
0.616 * [backup-simplify]: Simplify (* 1 1) into 1
0.616 * [backup-simplify]: Simplify (/ 1 1) into 1
0.616 * [backup-simplify]: Simplify (+ 0 1) into 1
0.617 * [backup-simplify]: Simplify (sqrt 1) into 1
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.618 * [taylor]: Taking taylor expansion of 1 in im
0.618 * [backup-simplify]: Simplify 1 into 1
0.618 * [taylor]: Taking taylor expansion of 0 in im
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 1 into 1
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.620 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.620 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.620 * [taylor]: Taking taylor expansion of 1/2 in im
0.620 * [backup-simplify]: Simplify 1/2 into 1/2
0.620 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.620 * [taylor]: Taking taylor expansion of im in im
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (* 1 1) into 1
0.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ 0 0) into 0
0.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.623 * [taylor]: Taking taylor expansion of 0 in im
0.623 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.625 * * * [progress]: simplifying candidates
0.627 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
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  im
  re
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  im
  re
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0.627 * [simplify]: Sending expressions to egg_math:
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 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 h0
 h1
 (* -1 h1)
0.634 * * [simplify]: iteration  0 :  267  enodes  (cost  1096 )
0.640 * * [simplify]: iteration  1 :  974  enodes  (cost  974 )
0.666 * * [simplify]: iteration  2 :  5001  enodes  (cost  950 )
0.670 * * * [progress]: adding candidates to table
0.939 * * [progress]: iteration 3 / 4
0.939 * * * [progress]: picking best candidate
0.955 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
0.955 * * * [progress]: localizing error
0.971 * * * [progress]: generating rewritten candidates
0.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
0.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
0.988 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.022 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
1.038 * * * [progress]: generating series expansions
1.038 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
1.038 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.038 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.038 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.038 * [taylor]: Taking taylor expansion of re in im
1.038 * [backup-simplify]: Simplify re into re
1.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.038 * [taylor]: Taking taylor expansion of im in im
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 1 into 1
1.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.038 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.038 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.038 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.039 * [backup-simplify]: Simplify (+ 0 0) into 0
1.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.039 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.039 * [taylor]: Taking taylor expansion of re in re
1.039 * [backup-simplify]: Simplify 0 into 0
1.039 * [backup-simplify]: Simplify 1 into 1
1.039 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.039 * [taylor]: Taking taylor expansion of im in re
1.039 * [backup-simplify]: Simplify im into im
1.039 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.039 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.039 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.040 * [backup-simplify]: Simplify (+ 0 0) into 0
1.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.040 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.040 * [taylor]: Taking taylor expansion of re in re
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 1 into 1
1.040 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.040 * [taylor]: Taking taylor expansion of im in re
1.040 * [backup-simplify]: Simplify im into im
1.040 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.040 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.040 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.040 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.041 * [backup-simplify]: Simplify (+ 0 0) into 0
1.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.041 * [taylor]: Taking taylor expansion of im in im
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 1 into 1
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [taylor]: Taking taylor expansion of 0 in im
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 1 into 1
1.041 * [backup-simplify]: Simplify (* 1 1) into 1
1.041 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.042 * [backup-simplify]: Simplify (+ 1 0) into 1
1.045 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.045 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.045 * [taylor]: Taking taylor expansion of 1/2 in im
1.045 * [backup-simplify]: Simplify 1/2 into 1/2
1.045 * [taylor]: Taking taylor expansion of im in im
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify 1 into 1
1.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.046 * [backup-simplify]: Simplify 0 into 0
1.046 * [backup-simplify]: Simplify 0 into 0
1.046 * [backup-simplify]: Simplify 0 into 0
1.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.047 * [backup-simplify]: Simplify (+ 0 0) into 0
1.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.047 * [taylor]: Taking taylor expansion of 0 in im
1.047 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.048 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.048 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.048 * [taylor]: Taking taylor expansion of im in im
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify 1 into 1
1.048 * [backup-simplify]: Simplify (* 1 1) into 1
1.049 * [backup-simplify]: Simplify (/ 1 1) into 1
1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.049 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.049 * [taylor]: Taking taylor expansion of re in im
1.049 * [backup-simplify]: Simplify re into re
1.049 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.049 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.049 * [backup-simplify]: Simplify (+ 1 0) into 1
1.049 * [backup-simplify]: Simplify (sqrt 1) into 1
1.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.050 * [backup-simplify]: Simplify (+ 0 0) into 0
1.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.051 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.051 * [taylor]: Taking taylor expansion of im in re
1.051 * [backup-simplify]: Simplify im into im
1.051 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.051 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.051 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.051 * [taylor]: Taking taylor expansion of re in re
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify 1 into 1
1.051 * [backup-simplify]: Simplify (* 1 1) into 1
1.052 * [backup-simplify]: Simplify (/ 1 1) into 1
1.052 * [backup-simplify]: Simplify (+ 0 1) into 1
1.052 * [backup-simplify]: Simplify (sqrt 1) into 1
1.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.053 * [backup-simplify]: Simplify (+ 0 0) into 0
1.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.054 * [taylor]: Taking taylor expansion of im in re
1.054 * [backup-simplify]: Simplify im into im
1.054 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.054 * [taylor]: Taking taylor expansion of re in re
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 1 into 1
1.054 * [backup-simplify]: Simplify (* 1 1) into 1
1.054 * [backup-simplify]: Simplify (/ 1 1) into 1
1.055 * [backup-simplify]: Simplify (+ 0 1) into 1
1.055 * [backup-simplify]: Simplify (sqrt 1) into 1
1.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.056 * [backup-simplify]: Simplify (+ 0 0) into 0
1.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.056 * [taylor]: Taking taylor expansion of 1 in im
1.056 * [backup-simplify]: Simplify 1 into 1
1.056 * [taylor]: Taking taylor expansion of 0 in im
1.056 * [backup-simplify]: Simplify 0 into 0
1.056 * [backup-simplify]: Simplify 1 into 1
1.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.057 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.058 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.058 * [taylor]: Taking taylor expansion of 1/2 in im
1.058 * [backup-simplify]: Simplify 1/2 into 1/2
1.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.058 * [taylor]: Taking taylor expansion of im in im
1.058 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify 1 into 1
1.059 * [backup-simplify]: Simplify (* 1 1) into 1
1.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.061 * [backup-simplify]: Simplify (+ 0 0) into 0
1.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.062 * [taylor]: Taking taylor expansion of 0 in im
1.062 * [backup-simplify]: Simplify 0 into 0
1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.063 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.063 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.063 * [taylor]: Taking taylor expansion of im in im
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 1 into 1
1.063 * [backup-simplify]: Simplify (* 1 1) into 1
1.064 * [backup-simplify]: Simplify (/ 1 1) into 1
1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.064 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.064 * [taylor]: Taking taylor expansion of re in im
1.064 * [backup-simplify]: Simplify re into re
1.064 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.064 * [backup-simplify]: Simplify (+ 1 0) into 1
1.064 * [backup-simplify]: Simplify (sqrt 1) into 1
1.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.065 * [backup-simplify]: Simplify (+ 0 0) into 0
1.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.066 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.066 * [taylor]: Taking taylor expansion of im in re
1.066 * [backup-simplify]: Simplify im into im
1.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.066 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.066 * [taylor]: Taking taylor expansion of re in re
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [backup-simplify]: Simplify 1 into 1
1.066 * [backup-simplify]: Simplify (* 1 1) into 1
1.067 * [backup-simplify]: Simplify (/ 1 1) into 1
1.067 * [backup-simplify]: Simplify (+ 0 1) into 1
1.067 * [backup-simplify]: Simplify (sqrt 1) into 1
1.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.068 * [backup-simplify]: Simplify (+ 0 0) into 0
1.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.068 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.068 * [taylor]: Taking taylor expansion of im in re
1.068 * [backup-simplify]: Simplify im into im
1.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.069 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.069 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.069 * [taylor]: Taking taylor expansion of re in re
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 1 into 1
1.069 * [backup-simplify]: Simplify (* 1 1) into 1
1.069 * [backup-simplify]: Simplify (/ 1 1) into 1
1.069 * [backup-simplify]: Simplify (+ 0 1) into 1
1.070 * [backup-simplify]: Simplify (sqrt 1) into 1
1.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.071 * [backup-simplify]: Simplify (+ 0 0) into 0
1.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.071 * [taylor]: Taking taylor expansion of 1 in im
1.071 * [backup-simplify]: Simplify 1 into 1
1.071 * [taylor]: Taking taylor expansion of 0 in im
1.071 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify 1 into 1
1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.073 * [taylor]: Taking taylor expansion of 1/2 in im
1.073 * [backup-simplify]: Simplify 1/2 into 1/2
1.073 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.073 * [taylor]: Taking taylor expansion of im in im
1.073 * [backup-simplify]: Simplify 0 into 0
1.073 * [backup-simplify]: Simplify 1 into 1
1.073 * [backup-simplify]: Simplify (* 1 1) into 1
1.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.074 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.076 * [backup-simplify]: Simplify (+ 0 0) into 0
1.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.076 * [taylor]: Taking taylor expansion of 0 in im
1.076 * [backup-simplify]: Simplify 0 into 0
1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.078 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
1.078 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.078 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.078 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.078 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.078 * [taylor]: Taking taylor expansion of re in im
1.078 * [backup-simplify]: Simplify re into re
1.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.078 * [taylor]: Taking taylor expansion of im in im
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 1 into 1
1.078 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.078 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.078 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.079 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.079 * [backup-simplify]: Simplify (+ 0 0) into 0
1.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.079 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.079 * [taylor]: Taking taylor expansion of re in re
1.079 * [backup-simplify]: Simplify 0 into 0
1.079 * [backup-simplify]: Simplify 1 into 1
1.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.079 * [taylor]: Taking taylor expansion of im in re
1.079 * [backup-simplify]: Simplify im into im
1.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.079 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.079 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.079 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.080 * [backup-simplify]: Simplify (+ 0 0) into 0
1.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.080 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.080 * [taylor]: Taking taylor expansion of re in re
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [backup-simplify]: Simplify 1 into 1
1.080 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.080 * [taylor]: Taking taylor expansion of im in re
1.080 * [backup-simplify]: Simplify im into im
1.080 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.080 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.080 * [backup-simplify]: Simplify (+ 0 0) into 0
1.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.080 * [taylor]: Taking taylor expansion of im in im
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [backup-simplify]: Simplify 1 into 1
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [taylor]: Taking taylor expansion of 0 in im
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 1 into 1
1.081 * [backup-simplify]: Simplify (* 1 1) into 1
1.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.081 * [backup-simplify]: Simplify (+ 1 0) into 1
1.082 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.082 * [taylor]: Taking taylor expansion of 1/2 in im
1.082 * [backup-simplify]: Simplify 1/2 into 1/2
1.082 * [taylor]: Taking taylor expansion of im in im
1.082 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify 1 into 1
1.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.084 * [backup-simplify]: Simplify (+ 0 0) into 0
1.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.084 * [taylor]: Taking taylor expansion of 0 in im
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.084 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.085 * [taylor]: Taking taylor expansion of im in im
1.085 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify 1 into 1
1.085 * [backup-simplify]: Simplify (* 1 1) into 1
1.085 * [backup-simplify]: Simplify (/ 1 1) into 1
1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.085 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.085 * [taylor]: Taking taylor expansion of re in im
1.085 * [backup-simplify]: Simplify re into re
1.085 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.086 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.086 * [backup-simplify]: Simplify (+ 1 0) into 1
1.086 * [backup-simplify]: Simplify (sqrt 1) into 1
1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.087 * [backup-simplify]: Simplify (+ 0 0) into 0
1.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.088 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.088 * [taylor]: Taking taylor expansion of im in re
1.088 * [backup-simplify]: Simplify im into im
1.088 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.088 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.088 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.088 * [taylor]: Taking taylor expansion of re in re
1.088 * [backup-simplify]: Simplify 0 into 0
1.088 * [backup-simplify]: Simplify 1 into 1
1.088 * [backup-simplify]: Simplify (* 1 1) into 1
1.088 * [backup-simplify]: Simplify (/ 1 1) into 1
1.088 * [backup-simplify]: Simplify (+ 0 1) into 1
1.089 * [backup-simplify]: Simplify (sqrt 1) into 1
1.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.090 * [backup-simplify]: Simplify (+ 0 0) into 0
1.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.090 * [taylor]: Taking taylor expansion of im in re
1.090 * [backup-simplify]: Simplify im into im
1.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.090 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.090 * [taylor]: Taking taylor expansion of re in re
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 1 into 1
1.091 * [backup-simplify]: Simplify (* 1 1) into 1
1.091 * [backup-simplify]: Simplify (/ 1 1) into 1
1.091 * [backup-simplify]: Simplify (+ 0 1) into 1
1.091 * [backup-simplify]: Simplify (sqrt 1) into 1
1.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.092 * [backup-simplify]: Simplify (+ 0 0) into 0
1.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.093 * [taylor]: Taking taylor expansion of 1 in im
1.093 * [backup-simplify]: Simplify 1 into 1
1.093 * [taylor]: Taking taylor expansion of 0 in im
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 1 into 1
1.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.094 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.095 * [taylor]: Taking taylor expansion of 1/2 in im
1.095 * [backup-simplify]: Simplify 1/2 into 1/2
1.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.095 * [taylor]: Taking taylor expansion of im in im
1.095 * [backup-simplify]: Simplify 0 into 0
1.095 * [backup-simplify]: Simplify 1 into 1
1.095 * [backup-simplify]: Simplify (* 1 1) into 1
1.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.098 * [backup-simplify]: Simplify (+ 0 0) into 0
1.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.098 * [taylor]: Taking taylor expansion of 0 in im
1.098 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.100 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.100 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.100 * [taylor]: Taking taylor expansion of im in im
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 1 into 1
1.100 * [backup-simplify]: Simplify (* 1 1) into 1
1.100 * [backup-simplify]: Simplify (/ 1 1) into 1
1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.100 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.100 * [taylor]: Taking taylor expansion of re in im
1.100 * [backup-simplify]: Simplify re into re
1.100 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.100 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.101 * [backup-simplify]: Simplify (+ 1 0) into 1
1.101 * [backup-simplify]: Simplify (sqrt 1) into 1
1.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.102 * [backup-simplify]: Simplify (+ 0 0) into 0
1.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.102 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.102 * [taylor]: Taking taylor expansion of im in re
1.102 * [backup-simplify]: Simplify im into im
1.102 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.103 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.103 * [taylor]: Taking taylor expansion of re in re
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.103 * [backup-simplify]: Simplify (* 1 1) into 1
1.103 * [backup-simplify]: Simplify (/ 1 1) into 1
1.103 * [backup-simplify]: Simplify (+ 0 1) into 1
1.104 * [backup-simplify]: Simplify (sqrt 1) into 1
1.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.105 * [backup-simplify]: Simplify (+ 0 0) into 0
1.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.105 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.105 * [taylor]: Taking taylor expansion of im in re
1.105 * [backup-simplify]: Simplify im into im
1.105 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.105 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.105 * [taylor]: Taking taylor expansion of re in re
1.105 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify 1 into 1
1.105 * [backup-simplify]: Simplify (* 1 1) into 1
1.106 * [backup-simplify]: Simplify (/ 1 1) into 1
1.106 * [backup-simplify]: Simplify (+ 0 1) into 1
1.106 * [backup-simplify]: Simplify (sqrt 1) into 1
1.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.107 * [backup-simplify]: Simplify (+ 0 0) into 0
1.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.108 * [taylor]: Taking taylor expansion of 1 in im
1.108 * [backup-simplify]: Simplify 1 into 1
1.108 * [taylor]: Taking taylor expansion of 0 in im
1.108 * [backup-simplify]: Simplify 0 into 0
1.108 * [backup-simplify]: Simplify 1 into 1
1.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.109 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.110 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.110 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.110 * [taylor]: Taking taylor expansion of 1/2 in im
1.110 * [backup-simplify]: Simplify 1/2 into 1/2
1.110 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.110 * [taylor]: Taking taylor expansion of im in im
1.110 * [backup-simplify]: Simplify 0 into 0
1.110 * [backup-simplify]: Simplify 1 into 1
1.110 * [backup-simplify]: Simplify (* 1 1) into 1
1.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.113 * [backup-simplify]: Simplify (+ 0 0) into 0
1.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.113 * [taylor]: Taking taylor expansion of 0 in im
1.113 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.115 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
1.115 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
1.115 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
1.115 * [taylor]: Taking taylor expansion of re in im
1.115 * [backup-simplify]: Simplify re into re
1.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.115 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.115 * [taylor]: Taking taylor expansion of re in im
1.115 * [backup-simplify]: Simplify re into re
1.115 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.115 * [taylor]: Taking taylor expansion of im in im
1.115 * [backup-simplify]: Simplify 0 into 0
1.115 * [backup-simplify]: Simplify 1 into 1
1.115 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.115 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.115 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.115 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.115 * [backup-simplify]: Simplify (+ 0 0) into 0
1.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.115 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.116 * [taylor]: Taking taylor expansion of re in re
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 1 into 1
1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.116 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.116 * [taylor]: Taking taylor expansion of re in re
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 1 into 1
1.116 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.116 * [taylor]: Taking taylor expansion of im in re
1.116 * [backup-simplify]: Simplify im into im
1.116 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.116 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.116 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.116 * [backup-simplify]: Simplify (+ 0 0) into 0
1.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.116 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.116 * [taylor]: Taking taylor expansion of re in re
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 1 into 1
1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.116 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.116 * [taylor]: Taking taylor expansion of re in re
1.116 * [backup-simplify]: Simplify 0 into 0
1.116 * [backup-simplify]: Simplify 1 into 1
1.116 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.116 * [taylor]: Taking taylor expansion of im in re
1.116 * [backup-simplify]: Simplify im into im
1.117 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.117 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.117 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.117 * [backup-simplify]: Simplify (+ 0 0) into 0
1.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.117 * [backup-simplify]: Simplify (+ 0 im) into im
1.117 * [taylor]: Taking taylor expansion of im in im
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify 1 into 1
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify (+ 1 0) into 1
1.117 * [taylor]: Taking taylor expansion of 1 in im
1.118 * [backup-simplify]: Simplify 1 into 1
1.118 * [backup-simplify]: Simplify 1 into 1
1.118 * [backup-simplify]: Simplify 1 into 1
1.118 * [backup-simplify]: Simplify (* 1 1) into 1
1.118 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.118 * [backup-simplify]: Simplify (+ 1 0) into 1
1.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.119 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
1.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.119 * [taylor]: Taking taylor expansion of 1/2 in im
1.119 * [backup-simplify]: Simplify 1/2 into 1/2
1.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.119 * [taylor]: Taking taylor expansion of im in im
1.119 * [backup-simplify]: Simplify 0 into 0
1.119 * [backup-simplify]: Simplify 1 into 1
1.119 * [backup-simplify]: Simplify (/ 1 1) into 1
1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.120 * [backup-simplify]: Simplify 0 into 0
1.120 * [backup-simplify]: Simplify 0 into 0
1.120 * [backup-simplify]: Simplify 0 into 0
1.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.121 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.121 * [backup-simplify]: Simplify (+ 0 0) into 0
1.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.121 * [backup-simplify]: Simplify (+ 0 0) into 0
1.121 * [taylor]: Taking taylor expansion of 0 in im
1.121 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
1.123 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
1.123 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.123 * [taylor]: Taking taylor expansion of re in im
1.123 * [backup-simplify]: Simplify re into re
1.123 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.123 * [taylor]: Taking taylor expansion of im in im
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 1 into 1
1.124 * [backup-simplify]: Simplify (* 1 1) into 1
1.124 * [backup-simplify]: Simplify (/ 1 1) into 1
1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.124 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.124 * [taylor]: Taking taylor expansion of re in im
1.124 * [backup-simplify]: Simplify re into re
1.124 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.124 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.124 * [backup-simplify]: Simplify (+ 1 0) into 1
1.125 * [backup-simplify]: Simplify (sqrt 1) into 1
1.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.126 * [backup-simplify]: Simplify (+ 0 0) into 0
1.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.126 * [taylor]: Taking taylor expansion of re in re
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.126 * [backup-simplify]: Simplify (/ 1 1) into 1
1.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.126 * [taylor]: Taking taylor expansion of im in re
1.126 * [backup-simplify]: Simplify im into im
1.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.127 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.127 * [taylor]: Taking taylor expansion of re in re
1.127 * [backup-simplify]: Simplify 0 into 0
1.127 * [backup-simplify]: Simplify 1 into 1
1.127 * [backup-simplify]: Simplify (* 1 1) into 1
1.127 * [backup-simplify]: Simplify (/ 1 1) into 1
1.127 * [backup-simplify]: Simplify (+ 0 1) into 1
1.128 * [backup-simplify]: Simplify (sqrt 1) into 1
1.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.129 * [backup-simplify]: Simplify (+ 0 0) into 0
1.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.129 * [taylor]: Taking taylor expansion of re in re
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify 1 into 1
1.129 * [backup-simplify]: Simplify (/ 1 1) into 1
1.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.130 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.130 * [taylor]: Taking taylor expansion of im in re
1.130 * [backup-simplify]: Simplify im into im
1.130 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.130 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.130 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.130 * [taylor]: Taking taylor expansion of re in re
1.130 * [backup-simplify]: Simplify 0 into 0
1.130 * [backup-simplify]: Simplify 1 into 1
1.130 * [backup-simplify]: Simplify (* 1 1) into 1
1.130 * [backup-simplify]: Simplify (/ 1 1) into 1
1.131 * [backup-simplify]: Simplify (+ 0 1) into 1
1.131 * [backup-simplify]: Simplify (sqrt 1) into 1
1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.132 * [backup-simplify]: Simplify (+ 0 0) into 0
1.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.132 * [backup-simplify]: Simplify (+ 1 1) into 2
1.132 * [taylor]: Taking taylor expansion of 2 in im
1.132 * [backup-simplify]: Simplify 2 into 2
1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.133 * [backup-simplify]: Simplify (+ 0 0) into 0
1.133 * [taylor]: Taking taylor expansion of 0 in im
1.133 * [backup-simplify]: Simplify 0 into 0
1.133 * [backup-simplify]: Simplify 2 into 2
1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.135 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.136 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.136 * [taylor]: Taking taylor expansion of 1/2 in im
1.136 * [backup-simplify]: Simplify 1/2 into 1/2
1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.136 * [taylor]: Taking taylor expansion of im in im
1.136 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify 1 into 1
1.136 * [backup-simplify]: Simplify (* 1 1) into 1
1.136 * [backup-simplify]: Simplify (/ 1 1) into 1
1.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.142 * [backup-simplify]: Simplify (+ 0 0) into 0
1.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.143 * [backup-simplify]: Simplify (+ 0 0) into 0
1.143 * [taylor]: Taking taylor expansion of 0 in im
1.143 * [backup-simplify]: Simplify 0 into 0
1.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.144 * [backup-simplify]: Simplify 0 into 0
1.144 * [backup-simplify]: Simplify 0 into 0
1.144 * [backup-simplify]: Simplify 0 into 0
1.144 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
1.145 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
1.145 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
1.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
1.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.145 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.145 * [taylor]: Taking taylor expansion of im in im
1.145 * [backup-simplify]: Simplify 0 into 0
1.145 * [backup-simplify]: Simplify 1 into 1
1.145 * [backup-simplify]: Simplify (* 1 1) into 1
1.146 * [backup-simplify]: Simplify (/ 1 1) into 1
1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.146 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.146 * [taylor]: Taking taylor expansion of re in im
1.146 * [backup-simplify]: Simplify re into re
1.146 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.146 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.146 * [backup-simplify]: Simplify (+ 1 0) into 1
1.146 * [backup-simplify]: Simplify (sqrt 1) into 1
1.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.147 * [backup-simplify]: Simplify (+ 0 0) into 0
1.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.148 * [taylor]: Taking taylor expansion of re in im
1.148 * [backup-simplify]: Simplify re into re
1.148 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.148 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.148 * [taylor]: Taking taylor expansion of im in re
1.148 * [backup-simplify]: Simplify im into im
1.148 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.148 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.148 * [taylor]: Taking taylor expansion of re in re
1.148 * [backup-simplify]: Simplify 0 into 0
1.148 * [backup-simplify]: Simplify 1 into 1
1.148 * [backup-simplify]: Simplify (* 1 1) into 1
1.149 * [backup-simplify]: Simplify (/ 1 1) into 1
1.149 * [backup-simplify]: Simplify (+ 0 1) into 1
1.149 * [backup-simplify]: Simplify (sqrt 1) into 1
1.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.150 * [backup-simplify]: Simplify (+ 0 0) into 0
1.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.151 * [taylor]: Taking taylor expansion of re in re
1.151 * [backup-simplify]: Simplify 0 into 0
1.151 * [backup-simplify]: Simplify 1 into 1
1.151 * [backup-simplify]: Simplify (/ 1 1) into 1
1.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.151 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.151 * [taylor]: Taking taylor expansion of im in re
1.151 * [backup-simplify]: Simplify im into im
1.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.151 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.151 * [taylor]: Taking taylor expansion of re in re
1.151 * [backup-simplify]: Simplify 0 into 0
1.151 * [backup-simplify]: Simplify 1 into 1
1.151 * [backup-simplify]: Simplify (* 1 1) into 1
1.152 * [backup-simplify]: Simplify (/ 1 1) into 1
1.152 * [backup-simplify]: Simplify (+ 0 1) into 1
1.152 * [backup-simplify]: Simplify (sqrt 1) into 1
1.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.153 * [backup-simplify]: Simplify (+ 0 0) into 0
1.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.153 * [taylor]: Taking taylor expansion of re in re
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 1 into 1
1.154 * [backup-simplify]: Simplify (/ 1 1) into 1
1.154 * [backup-simplify]: Simplify (- 1) into -1
1.154 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.154 * [taylor]: Taking taylor expansion of 0 in im
1.154 * [backup-simplify]: Simplify 0 into 0
1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.155 * [backup-simplify]: Simplify (- 0) into 0
1.155 * [backup-simplify]: Simplify (+ 0 0) into 0
1.155 * [taylor]: Taking taylor expansion of 0 in im
1.155 * [backup-simplify]: Simplify 0 into 0
1.155 * [backup-simplify]: Simplify 0 into 0
1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.156 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.158 * [backup-simplify]: Simplify (- 0) into 0
1.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.158 * [taylor]: Taking taylor expansion of 1/2 in im
1.158 * [backup-simplify]: Simplify 1/2 into 1/2
1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.158 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.158 * [taylor]: Taking taylor expansion of im in im
1.158 * [backup-simplify]: Simplify 0 into 0
1.158 * [backup-simplify]: Simplify 1 into 1
1.158 * [backup-simplify]: Simplify (* 1 1) into 1
1.158 * [backup-simplify]: Simplify (/ 1 1) into 1
1.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.161 * [backup-simplify]: Simplify (+ 0 0) into 0
1.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.162 * [backup-simplify]: Simplify (- 0) into 0
1.163 * [backup-simplify]: Simplify (+ 0 0) into 0
1.163 * [taylor]: Taking taylor expansion of 0 in im
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify 0 into 0
1.164 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
1.164 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3)
1.164 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0
1.164 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im
1.164 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im
1.164 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im
1.164 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im
1.165 * [taylor]: Taking taylor expansion of 1/8 in im
1.165 * [backup-simplify]: Simplify 1/8 into 1/8
1.165 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
1.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.165 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.165 * [taylor]: Taking taylor expansion of re in im
1.165 * [backup-simplify]: Simplify re into re
1.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.165 * [taylor]: Taking taylor expansion of im in im
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 1 into 1
1.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.165 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.165 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
1.165 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
1.165 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
1.165 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
1.165 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
1.165 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
1.165 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
1.165 * [taylor]: Taking taylor expansion of 1/8 in re
1.165 * [backup-simplify]: Simplify 1/8 into 1/8
1.165 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
1.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.165 * [taylor]: Taking taylor expansion of re in re
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 1 into 1
1.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.165 * [taylor]: Taking taylor expansion of im in re
1.165 * [backup-simplify]: Simplify im into im
1.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.165 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.166 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
1.166 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
1.166 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
1.166 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re
1.166 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re
1.166 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re
1.166 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re
1.166 * [taylor]: Taking taylor expansion of 1/8 in re
1.166 * [backup-simplify]: Simplify 1/8 into 1/8
1.166 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
1.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.166 * [taylor]: Taking taylor expansion of re in re
1.166 * [backup-simplify]: Simplify 0 into 0
1.166 * [backup-simplify]: Simplify 1 into 1
1.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.166 * [taylor]: Taking taylor expansion of im in re
1.166 * [backup-simplify]: Simplify im into im
1.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.166 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
1.166 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
1.166 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
1.167 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im)
1.167 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4)
1.167 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im
1.167 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
1.167 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im
1.167 * [taylor]: Taking taylor expansion of 1/4 in im
1.167 * [backup-simplify]: Simplify 1/4 into 1/4
1.167 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im
1.167 * [taylor]: Taking taylor expansion of (pow im 3) in im
1.167 * [taylor]: Taking taylor expansion of im in im
1.167 * [backup-simplify]: Simplify 0 into 0
1.167 * [backup-simplify]: Simplify 1 into 1
1.167 * [backup-simplify]: Simplify (* 1 1) into 1
1.167 * [backup-simplify]: Simplify (* 1 1) into 1
1.168 * [backup-simplify]: Simplify (log 1) into 0
1.168 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
1.168 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im))
1.168 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4)
1.168 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4)
1.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.168 * [backup-simplify]: Simplify (+ 0 0) into 0
1.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
1.169 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0
1.170 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.170 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0
1.170 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0
1.170 * [taylor]: Taking taylor expansion of 0 in im
1.170 * [backup-simplify]: Simplify 0 into 0
1.170 * [backup-simplify]: Simplify 0 into 0
1.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.172 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
1.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
1.173 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
1.173 * [backup-simplify]: Simplify 0 into 0
1.173 * [backup-simplify]: Simplify (* 1 1) into 1
1.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.173 * [backup-simplify]: Simplify (+ 1 0) into 1
1.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
1.175 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2)))
1.176 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
1.176 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
1.177 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
1.177 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
1.177 * [taylor]: Taking taylor expansion of 3/8 in im
1.177 * [backup-simplify]: Simplify 3/8 into 3/8
1.177 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
1.177 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
1.177 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im
1.177 * [taylor]: Taking taylor expansion of 1/4 in im
1.177 * [backup-simplify]: Simplify 1/4 into 1/4
1.177 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
1.177 * [taylor]: Taking taylor expansion of (pow im 5) in im
1.177 * [taylor]: Taking taylor expansion of im in im
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify 1 into 1
1.177 * [backup-simplify]: Simplify (* 1 1) into 1
1.178 * [backup-simplify]: Simplify (* 1 1) into 1
1.178 * [backup-simplify]: Simplify (* 1 1) into 1
1.178 * [backup-simplify]: Simplify (/ 1 1) into 1
1.178 * [backup-simplify]: Simplify (log 1) into 0
1.179 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
1.179 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
1.179 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
1.179 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
1.179 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
1.179 * [backup-simplify]: Simplify 0 into 0
1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1.182 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
1.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
1.183 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.183 * [backup-simplify]: Simplify 0 into 0
1.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.184 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.184 * [backup-simplify]: Simplify (+ 0 0) into 0
1.186 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
1.187 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
1.188 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.189 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0
1.189 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0
1.189 * [taylor]: Taking taylor expansion of 0 in im
1.189 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.192 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
1.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
1.192 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
1.193 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
1.193 * [backup-simplify]: Simplify 0 into 0
1.193 * [backup-simplify]: Simplify 0 into 0
1.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.196 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.197 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
1.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
1.198 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.198 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
1.199 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
1.199 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
1.199 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
1.199 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
1.199 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
1.199 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.199 * [taylor]: Taking taylor expansion of 1/8 in im
1.199 * [backup-simplify]: Simplify 1/8 into 1/8
1.199 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.199 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.199 * [taylor]: Taking taylor expansion of im in im
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [backup-simplify]: Simplify (* 1 1) into 1
1.200 * [backup-simplify]: Simplify (/ 1 1) into 1
1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.200 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.200 * [taylor]: Taking taylor expansion of re in im
1.200 * [backup-simplify]: Simplify re into re
1.200 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.200 * [backup-simplify]: Simplify (+ 1 0) into 1
1.200 * [backup-simplify]: Simplify (log 1) into 0
1.201 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
1.201 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
1.201 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
1.201 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
1.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
1.201 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.201 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.201 * [taylor]: Taking taylor expansion of 1/8 in re
1.201 * [backup-simplify]: Simplify 1/8 into 1/8
1.201 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.201 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.201 * [taylor]: Taking taylor expansion of im in re
1.201 * [backup-simplify]: Simplify im into im
1.201 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.201 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.201 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.201 * [taylor]: Taking taylor expansion of re in re
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.201 * [backup-simplify]: Simplify (* 1 1) into 1
1.202 * [backup-simplify]: Simplify (/ 1 1) into 1
1.202 * [backup-simplify]: Simplify (+ 0 1) into 1
1.202 * [backup-simplify]: Simplify (log 1) into 0
1.202 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.202 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
1.202 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
1.202 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
1.202 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
1.203 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.203 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.203 * [taylor]: Taking taylor expansion of 1/8 in re
1.203 * [backup-simplify]: Simplify 1/8 into 1/8
1.203 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.203 * [taylor]: Taking taylor expansion of im in re
1.203 * [backup-simplify]: Simplify im into im
1.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.203 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.203 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.203 * [taylor]: Taking taylor expansion of re in re
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 1 into 1
1.203 * [backup-simplify]: Simplify (* 1 1) into 1
1.203 * [backup-simplify]: Simplify (/ 1 1) into 1
1.204 * [backup-simplify]: Simplify (+ 0 1) into 1
1.204 * [backup-simplify]: Simplify (log 1) into 0
1.204 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.204 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
1.204 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
1.204 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
1.204 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
1.204 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
1.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
1.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
1.205 * [taylor]: Taking taylor expansion of 1/4 in im
1.205 * [backup-simplify]: Simplify 1/4 into 1/4
1.205 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
1.205 * [taylor]: Taking taylor expansion of (pow re 3) in im
1.205 * [taylor]: Taking taylor expansion of re in im
1.205 * [backup-simplify]: Simplify re into re
1.205 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.205 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
1.205 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
1.205 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
1.205 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
1.205 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
1.205 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
1.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (+ 0 0) into 0
1.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.207 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.208 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
1.208 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
1.208 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
1.208 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
1.209 * [taylor]: Taking taylor expansion of 0 in im
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify 0 into 0
1.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
1.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
1.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
1.210 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
1.211 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.211 * [backup-simplify]: Simplify 0 into 0
1.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.212 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
1.213 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.214 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
1.215 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
1.216 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
1.216 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
1.217 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
1.217 * [taylor]: Taking taylor expansion of 3/8 in im
1.217 * [backup-simplify]: Simplify 3/8 into 3/8
1.217 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
1.217 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
1.217 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
1.217 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
1.217 * [taylor]: Taking taylor expansion of 1/4 in im
1.217 * [backup-simplify]: Simplify 1/4 into 1/4
1.217 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
1.217 * [taylor]: Taking taylor expansion of (pow re 3) in im
1.217 * [taylor]: Taking taylor expansion of re in im
1.217 * [backup-simplify]: Simplify re into re
1.217 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.217 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
1.217 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
1.217 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
1.217 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
1.217 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.217 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.217 * [taylor]: Taking taylor expansion of im in im
1.217 * [backup-simplify]: Simplify 0 into 0
1.217 * [backup-simplify]: Simplify 1 into 1
1.218 * [backup-simplify]: Simplify (* 1 1) into 1
1.218 * [backup-simplify]: Simplify (/ 1 1) into 1
1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.220 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
1.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
1.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
1.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
1.221 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.222 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.222 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
1.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
1.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
1.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
1.225 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.225 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
1.226 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
1.226 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
1.226 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
1.226 * [backup-simplify]: Simplify 0 into 0
1.226 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.227 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
1.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
1.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
1.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
1.230 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.232 * [backup-simplify]: Simplify (+ 0 0) into 0
1.233 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.234 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.234 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
1.241 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.241 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
1.242 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
1.242 * [taylor]: Taking taylor expansion of 0 in im
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4)
1.242 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3)
1.243 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0
1.243 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im
1.243 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im
1.243 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
1.243 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.243 * [taylor]: Taking taylor expansion of 1/8 in im
1.243 * [backup-simplify]: Simplify 1/8 into 1/8
1.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.243 * [taylor]: Taking taylor expansion of im in im
1.243 * [backup-simplify]: Simplify 0 into 0
1.243 * [backup-simplify]: Simplify 1 into 1
1.243 * [backup-simplify]: Simplify (* 1 1) into 1
1.243 * [backup-simplify]: Simplify (/ 1 1) into 1
1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.243 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.243 * [taylor]: Taking taylor expansion of re in im
1.243 * [backup-simplify]: Simplify re into re
1.243 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.243 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.244 * [backup-simplify]: Simplify (+ 1 0) into 1
1.244 * [backup-simplify]: Simplify (log 1) into 0
1.244 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
1.244 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
1.244 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
1.244 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
1.244 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
1.244 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.244 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.245 * [taylor]: Taking taylor expansion of 1/8 in re
1.245 * [backup-simplify]: Simplify 1/8 into 1/8
1.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.245 * [taylor]: Taking taylor expansion of im in re
1.245 * [backup-simplify]: Simplify im into im
1.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.245 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.245 * [taylor]: Taking taylor expansion of re in re
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 1 into 1
1.245 * [backup-simplify]: Simplify (* 1 1) into 1
1.245 * [backup-simplify]: Simplify (/ 1 1) into 1
1.246 * [backup-simplify]: Simplify (+ 0 1) into 1
1.246 * [backup-simplify]: Simplify (log 1) into 0
1.246 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.246 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
1.246 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
1.246 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re
1.246 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re
1.246 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
1.246 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.246 * [taylor]: Taking taylor expansion of 1/8 in re
1.246 * [backup-simplify]: Simplify 1/8 into 1/8
1.246 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.246 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.246 * [taylor]: Taking taylor expansion of im in re
1.246 * [backup-simplify]: Simplify im into im
1.246 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.247 * [taylor]: Taking taylor expansion of re in re
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [backup-simplify]: Simplify (* 1 1) into 1
1.247 * [backup-simplify]: Simplify (/ 1 1) into 1
1.247 * [backup-simplify]: Simplify (+ 0 1) into 1
1.248 * [backup-simplify]: Simplify (log 1) into 0
1.248 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.248 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
1.248 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
1.248 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re))
1.248 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4)
1.248 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
1.248 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
1.248 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
1.248 * [taylor]: Taking taylor expansion of 1/4 in im
1.248 * [backup-simplify]: Simplify 1/4 into 1/4
1.248 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
1.248 * [taylor]: Taking taylor expansion of (pow re 3) in im
1.248 * [taylor]: Taking taylor expansion of re in im
1.248 * [backup-simplify]: Simplify re into re
1.248 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.248 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
1.249 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
1.249 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
1.249 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
1.249 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
1.249 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4)
1.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1.251 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.251 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0
1.252 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
1.252 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0
1.252 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0
1.252 * [taylor]: Taking taylor expansion of 0 in im
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.252 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
1.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
1.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
1.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
1.254 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.255 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
1.256 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.257 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2)))
1.257 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))
1.258 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))
1.259 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))))
1.259 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im
1.259 * [taylor]: Taking taylor expansion of 3/8 in im
1.259 * [backup-simplify]: Simplify 3/8 into 3/8
1.259 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im
1.259 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im
1.259 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im
1.259 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im
1.259 * [taylor]: Taking taylor expansion of 1/4 in im
1.259 * [backup-simplify]: Simplify 1/4 into 1/4
1.259 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im
1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im
1.259 * [taylor]: Taking taylor expansion of (pow re 3) in im
1.259 * [taylor]: Taking taylor expansion of re in im
1.259 * [backup-simplify]: Simplify re into re
1.259 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.259 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3)
1.260 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3))
1.260 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3)))
1.260 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3))))
1.260 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4)
1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.260 * [taylor]: Taking taylor expansion of im in im
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 1 into 1
1.260 * [backup-simplify]: Simplify (* 1 1) into 1
1.260 * [backup-simplify]: Simplify (/ 1 1) into 1
1.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.262 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.262 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0
1.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0
1.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0
1.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0
1.264 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.264 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.265 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
1.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
1.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
1.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
1.267 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.268 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0
1.268 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0
1.268 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4)
1.269 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.270 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0
1.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0
1.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0
1.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0
1.272 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.274 * [backup-simplify]: Simplify (+ 0 0) into 0
1.276 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1.276 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
1.277 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
1.278 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.278 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0
1.279 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0
1.279 * [taylor]: Taking taylor expansion of 0 in im
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4)
1.279 * * * [progress]: simplifying candidates
1.281 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1/2 2) 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (* (/ (/ (/ 1 2) 2) 2) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1)
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)))
  (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3)
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
  (pow (pow re 3) 1/4)
  (pow (* -1 (pow re 3)) 1/4)
1.282 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp h1))
 (log (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (exp (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (* (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)))
 (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (* (* (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (+ (pow (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow h1 3))
 (+ (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (- (* h1 h1) (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)))
 (- (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* h1 h1))
 (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)
 (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (* 1/2 3)
 (* 1 3)
 (* (/ 1/2 2) 3)
 (* (/ 1 2) 3)
 (* (/ (/ 1/2 2) 2) 3)
 (* (/ (/ 1 2) 2) 3)
 (* (/ (/ (/ 1 2) 2) 2) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (cbrt 3) (cbrt 3)))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt 3))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 1)
 (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt 1))) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt 1)) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt 1) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow 1 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (log (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (exp (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)))
 (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt 1))) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt 1)) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt 1) 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3)
 (pow 1 3)
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)
 (pow (sqrt (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) 3)
 (pow (sqrt (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))) 3)
 (pow (sqrt (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) 3)
 (pow (sqrt (sqrt (sqrt (- (* h1 h1) (* h0 h0))))) 3)
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (/ 3 2)
 (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2))
 (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
 (+ (pow h0 3/4) (* 3/8 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/4))))
 (pow (pow h1 3) 1/4)
 (pow (* -1 (pow h1 3)) 1/4)
1.287 * * [simplify]: iteration  0 :  394  enodes  (cost  992 )
1.295 * * [simplify]: iteration  1 :  1342  enodes  (cost  878 )
1.327 * * [simplify]: iteration  2 :  5001  enodes  (cost  845 )
1.331 * * * [progress]: adding candidates to table
1.631 * * [progress]: iteration 4 / 4
1.631 * * * [progress]: picking best candidate
1.651 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
1.652 * * * [progress]: localizing error
1.671 * * * [progress]: generating rewritten candidates
1.671 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
1.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1 1)
1.689 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1 1)
1.696 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
1.849 * * * [progress]: generating series expansions
1.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
1.849 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.849 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.849 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.849 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.849 * [taylor]: Taking taylor expansion of re in im
1.849 * [backup-simplify]: Simplify re into re
1.849 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.849 * [taylor]: Taking taylor expansion of im in im
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.849 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.849 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.849 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.850 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.850 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.850 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.850 * [taylor]: Taking taylor expansion of re in re
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.850 * [taylor]: Taking taylor expansion of im in re
1.850 * [backup-simplify]: Simplify im into im
1.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.850 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.850 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.851 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.851 * [backup-simplify]: Simplify (+ 0 0) into 0
1.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.851 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.851 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.851 * [taylor]: Taking taylor expansion of re in re
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 1 into 1
1.851 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.851 * [taylor]: Taking taylor expansion of im in re
1.851 * [backup-simplify]: Simplify im into im
1.851 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.851 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.851 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.851 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.852 * [taylor]: Taking taylor expansion of im in im
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [taylor]: Taking taylor expansion of 0 in im
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [backup-simplify]: Simplify (* 1 1) into 1
1.852 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.853 * [backup-simplify]: Simplify (+ 1 0) into 1
1.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.856 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.856 * [taylor]: Taking taylor expansion of 1/2 in im
1.856 * [backup-simplify]: Simplify 1/2 into 1/2
1.856 * [taylor]: Taking taylor expansion of im in im
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 1 into 1
1.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.857 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.858 * [taylor]: Taking taylor expansion of 0 in im
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.859 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.859 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.859 * [taylor]: Taking taylor expansion of im in im
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [backup-simplify]: Simplify (* 1 1) into 1
1.859 * [backup-simplify]: Simplify (/ 1 1) into 1
1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.859 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.859 * [taylor]: Taking taylor expansion of re in im
1.859 * [backup-simplify]: Simplify re into re
1.859 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.859 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.860 * [backup-simplify]: Simplify (+ 1 0) into 1
1.860 * [backup-simplify]: Simplify (sqrt 1) into 1
1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (+ 0 0) into 0
1.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.862 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.862 * [taylor]: Taking taylor expansion of im in re
1.862 * [backup-simplify]: Simplify im into im
1.862 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.862 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.862 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.862 * [taylor]: Taking taylor expansion of re in re
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [backup-simplify]: Simplify (* 1 1) into 1
1.862 * [backup-simplify]: Simplify (/ 1 1) into 1
1.863 * [backup-simplify]: Simplify (+ 0 1) into 1
1.863 * [backup-simplify]: Simplify (sqrt 1) into 1
1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.864 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.864 * [taylor]: Taking taylor expansion of im in re
1.864 * [backup-simplify]: Simplify im into im
1.864 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.865 * [taylor]: Taking taylor expansion of re in re
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [backup-simplify]: Simplify (* 1 1) into 1
1.865 * [backup-simplify]: Simplify (/ 1 1) into 1
1.865 * [backup-simplify]: Simplify (+ 0 1) into 1
1.866 * [backup-simplify]: Simplify (sqrt 1) into 1
1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.866 * [backup-simplify]: Simplify (+ 0 0) into 0
1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.867 * [taylor]: Taking taylor expansion of 1 in im
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [taylor]: Taking taylor expansion of 0 in im
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.868 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.869 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.869 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.869 * [taylor]: Taking taylor expansion of 1/2 in im
1.869 * [backup-simplify]: Simplify 1/2 into 1/2
1.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.869 * [taylor]: Taking taylor expansion of im in im
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 1 into 1
1.869 * [backup-simplify]: Simplify (* 1 1) into 1
1.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (+ 0 0) into 0
1.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.872 * [taylor]: Taking taylor expansion of 0 in im
1.872 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.874 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.874 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.874 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.874 * [taylor]: Taking taylor expansion of im in im
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify 1 into 1
1.874 * [backup-simplify]: Simplify (* 1 1) into 1
1.874 * [backup-simplify]: Simplify (/ 1 1) into 1
1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.874 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.874 * [taylor]: Taking taylor expansion of re in im
1.874 * [backup-simplify]: Simplify re into re
1.874 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.875 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.875 * [backup-simplify]: Simplify (+ 1 0) into 1
1.875 * [backup-simplify]: Simplify (sqrt 1) into 1
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.877 * [taylor]: Taking taylor expansion of im in re
1.877 * [backup-simplify]: Simplify im into im
1.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.877 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.877 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.877 * [taylor]: Taking taylor expansion of re in re
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify (* 1 1) into 1
1.877 * [backup-simplify]: Simplify (/ 1 1) into 1
1.878 * [backup-simplify]: Simplify (+ 0 1) into 1
1.878 * [backup-simplify]: Simplify (sqrt 1) into 1
1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.879 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.879 * [taylor]: Taking taylor expansion of im in re
1.879 * [backup-simplify]: Simplify im into im
1.879 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.879 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.879 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.879 * [taylor]: Taking taylor expansion of re in re
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.880 * [backup-simplify]: Simplify (* 1 1) into 1
1.880 * [backup-simplify]: Simplify (/ 1 1) into 1
1.880 * [backup-simplify]: Simplify (+ 0 1) into 1
1.880 * [backup-simplify]: Simplify (sqrt 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.882 * [taylor]: Taking taylor expansion of 1 in im
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [taylor]: Taking taylor expansion of 0 in im
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.883 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.884 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.884 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.884 * [taylor]: Taking taylor expansion of 1/2 in im
1.884 * [backup-simplify]: Simplify 1/2 into 1/2
1.884 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.884 * [taylor]: Taking taylor expansion of im in im
1.884 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify 1 into 1
1.884 * [backup-simplify]: Simplify (* 1 1) into 1
1.885 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.887 * [backup-simplify]: Simplify (+ 0 0) into 0
1.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.887 * [taylor]: Taking taylor expansion of 0 in im
1.887 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.889 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1 1)
1.889 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.889 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.889 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.889 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.889 * [taylor]: Taking taylor expansion of re in im
1.889 * [backup-simplify]: Simplify re into re
1.889 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.889 * [taylor]: Taking taylor expansion of im in im
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.889 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.889 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.889 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.889 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.890 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.890 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.890 * [taylor]: Taking taylor expansion of re in re
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.890 * [taylor]: Taking taylor expansion of im in re
1.890 * [backup-simplify]: Simplify im into im
1.890 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.890 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.890 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.890 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.890 * [backup-simplify]: Simplify (+ 0 0) into 0
1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.890 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.890 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.890 * [taylor]: Taking taylor expansion of re in re
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.890 * [taylor]: Taking taylor expansion of im in re
1.890 * [backup-simplify]: Simplify im into im
1.890 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.891 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.891 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.891 * [backup-simplify]: Simplify (+ 0 0) into 0
1.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.891 * [taylor]: Taking taylor expansion of im in im
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [taylor]: Taking taylor expansion of 0 in im
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [backup-simplify]: Simplify (* 1 1) into 1
1.892 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.892 * [backup-simplify]: Simplify (+ 1 0) into 1
1.892 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.892 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.892 * [taylor]: Taking taylor expansion of 1/2 in im
1.892 * [backup-simplify]: Simplify 1/2 into 1/2
1.892 * [taylor]: Taking taylor expansion of im in im
1.892 * [backup-simplify]: Simplify 0 into 0
1.892 * [backup-simplify]: Simplify 1 into 1
1.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.893 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify 0 into 0
1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.894 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.894 * [backup-simplify]: Simplify (+ 0 0) into 0
1.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.894 * [taylor]: Taking taylor expansion of 0 in im
1.894 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.895 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.895 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.895 * [taylor]: Taking taylor expansion of im in im
1.895 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 1 into 1
1.896 * [backup-simplify]: Simplify (* 1 1) into 1
1.896 * [backup-simplify]: Simplify (/ 1 1) into 1
1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.896 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.896 * [taylor]: Taking taylor expansion of re in im
1.896 * [backup-simplify]: Simplify re into re
1.896 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.896 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.896 * [backup-simplify]: Simplify (+ 1 0) into 1
1.897 * [backup-simplify]: Simplify (sqrt 1) into 1
1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.898 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.898 * [taylor]: Taking taylor expansion of im in re
1.898 * [backup-simplify]: Simplify im into im
1.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.898 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.898 * [taylor]: Taking taylor expansion of re in re
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify 1 into 1
1.899 * [backup-simplify]: Simplify (* 1 1) into 1
1.899 * [backup-simplify]: Simplify (/ 1 1) into 1
1.899 * [backup-simplify]: Simplify (+ 0 1) into 1
1.899 * [backup-simplify]: Simplify (sqrt 1) into 1
1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ 0 0) into 0
1.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.901 * [taylor]: Taking taylor expansion of im in re
1.901 * [backup-simplify]: Simplify im into im
1.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.901 * [taylor]: Taking taylor expansion of re in re
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [backup-simplify]: Simplify (* 1 1) into 1
1.902 * [backup-simplify]: Simplify (/ 1 1) into 1
1.902 * [backup-simplify]: Simplify (+ 0 1) into 1
1.902 * [backup-simplify]: Simplify (sqrt 1) into 1
1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ 0 0) into 0
1.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.903 * [taylor]: Taking taylor expansion of 1 in im
1.903 * [backup-simplify]: Simplify 1 into 1
1.904 * [taylor]: Taking taylor expansion of 0 in im
1.904 * [backup-simplify]: Simplify 0 into 0
1.904 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.905 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.905 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.905 * [taylor]: Taking taylor expansion of 1/2 in im
1.905 * [backup-simplify]: Simplify 1/2 into 1/2
1.906 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.906 * [taylor]: Taking taylor expansion of im in im
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (* 1 1) into 1
1.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.908 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.909 * [taylor]: Taking taylor expansion of 0 in im
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.910 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.910 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.911 * [taylor]: Taking taylor expansion of im in im
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (* 1 1) into 1
1.911 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.911 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.911 * [taylor]: Taking taylor expansion of re in im
1.911 * [backup-simplify]: Simplify re into re
1.911 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.911 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.912 * [backup-simplify]: Simplify (+ 1 0) into 1
1.912 * [backup-simplify]: Simplify (sqrt 1) into 1
1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.913 * [taylor]: Taking taylor expansion of im in re
1.913 * [backup-simplify]: Simplify im into im
1.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.913 * [taylor]: Taking taylor expansion of re in re
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (* 1 1) into 1
1.914 * [backup-simplify]: Simplify (/ 1 1) into 1
1.914 * [backup-simplify]: Simplify (+ 0 1) into 1
1.914 * [backup-simplify]: Simplify (sqrt 1) into 1
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.916 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.916 * [taylor]: Taking taylor expansion of im in re
1.916 * [backup-simplify]: Simplify im into im
1.916 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.916 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.916 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.916 * [taylor]: Taking taylor expansion of re in re
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.916 * [backup-simplify]: Simplify (* 1 1) into 1
1.917 * [backup-simplify]: Simplify (/ 1 1) into 1
1.917 * [backup-simplify]: Simplify (+ 0 1) into 1
1.917 * [backup-simplify]: Simplify (sqrt 1) into 1
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify (+ 0 0) into 0
1.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.919 * [taylor]: Taking taylor expansion of 1 in im
1.919 * [backup-simplify]: Simplify 1 into 1
1.919 * [taylor]: Taking taylor expansion of 0 in im
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 1 into 1
1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.920 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.921 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.921 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.921 * [taylor]: Taking taylor expansion of 1/2 in im
1.921 * [backup-simplify]: Simplify 1/2 into 1/2
1.921 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.921 * [taylor]: Taking taylor expansion of im in im
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.921 * [backup-simplify]: Simplify (* 1 1) into 1
1.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.924 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.924 * [taylor]: Taking taylor expansion of 0 in im
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.925 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1 1)
1.925 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.925 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.925 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.925 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.925 * [taylor]: Taking taylor expansion of re in im
1.925 * [backup-simplify]: Simplify re into re
1.925 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.925 * [taylor]: Taking taylor expansion of im in im
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 1 into 1
1.926 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.926 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.926 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.926 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.926 * [backup-simplify]: Simplify (+ 0 0) into 0
1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.926 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.926 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.926 * [taylor]: Taking taylor expansion of re in re
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.926 * [taylor]: Taking taylor expansion of im in re
1.926 * [backup-simplify]: Simplify im into im
1.926 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.926 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.926 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.926 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.927 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.927 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.927 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.927 * [taylor]: Taking taylor expansion of re in re
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.927 * [taylor]: Taking taylor expansion of im in re
1.927 * [backup-simplify]: Simplify im into im
1.927 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.927 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.927 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.927 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.928 * [taylor]: Taking taylor expansion of im in im
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [taylor]: Taking taylor expansion of 0 in im
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.928 * [backup-simplify]: Simplify (+ 1 0) into 1
1.929 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.929 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.929 * [taylor]: Taking taylor expansion of 1/2 in im
1.929 * [backup-simplify]: Simplify 1/2 into 1/2
1.929 * [taylor]: Taking taylor expansion of im in im
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.931 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.931 * [taylor]: Taking taylor expansion of 0 in im
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.932 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.932 * [taylor]: Taking taylor expansion of im in im
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (* 1 1) into 1
1.932 * [backup-simplify]: Simplify (/ 1 1) into 1
1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.933 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.933 * [taylor]: Taking taylor expansion of re in im
1.933 * [backup-simplify]: Simplify re into re
1.933 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.933 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.933 * [backup-simplify]: Simplify (+ 1 0) into 1
1.933 * [backup-simplify]: Simplify (sqrt 1) into 1
1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (+ 0 0) into 0
1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.935 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.935 * [taylor]: Taking taylor expansion of im in re
1.935 * [backup-simplify]: Simplify im into im
1.935 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.935 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.935 * [taylor]: Taking taylor expansion of re in re
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (* 1 1) into 1
1.935 * [backup-simplify]: Simplify (/ 1 1) into 1
1.936 * [backup-simplify]: Simplify (+ 0 1) into 1
1.936 * [backup-simplify]: Simplify (sqrt 1) into 1
1.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.937 * [backup-simplify]: Simplify (+ 0 0) into 0
1.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.937 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.937 * [taylor]: Taking taylor expansion of im in re
1.937 * [backup-simplify]: Simplify im into im
1.938 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.938 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.938 * [taylor]: Taking taylor expansion of re in re
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [backup-simplify]: Simplify (* 1 1) into 1
1.938 * [backup-simplify]: Simplify (/ 1 1) into 1
1.938 * [backup-simplify]: Simplify (+ 0 1) into 1
1.939 * [backup-simplify]: Simplify (sqrt 1) into 1
1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.940 * [taylor]: Taking taylor expansion of 1 in im
1.940 * [backup-simplify]: Simplify 1 into 1
1.940 * [taylor]: Taking taylor expansion of 0 in im
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.941 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.942 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.942 * [taylor]: Taking taylor expansion of 1/2 in im
1.942 * [backup-simplify]: Simplify 1/2 into 1/2
1.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.942 * [taylor]: Taking taylor expansion of im in im
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.945 * [backup-simplify]: Simplify (+ 0 0) into 0
1.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.946 * [taylor]: Taking taylor expansion of 0 in im
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.947 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.947 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.947 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.947 * [taylor]: Taking taylor expansion of im in im
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify (* 1 1) into 1
1.947 * [backup-simplify]: Simplify (/ 1 1) into 1
1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.948 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.948 * [taylor]: Taking taylor expansion of re in im
1.948 * [backup-simplify]: Simplify re into re
1.948 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.948 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.948 * [backup-simplify]: Simplify (+ 1 0) into 1
1.948 * [backup-simplify]: Simplify (sqrt 1) into 1
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.955 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.955 * [taylor]: Taking taylor expansion of im in re
1.955 * [backup-simplify]: Simplify im into im
1.955 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.955 * [taylor]: Taking taylor expansion of re in re
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.956 * [backup-simplify]: Simplify (/ 1 1) into 1
1.956 * [backup-simplify]: Simplify (+ 0 1) into 1
1.956 * [backup-simplify]: Simplify (sqrt 1) into 1
1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.957 * [backup-simplify]: Simplify (+ 0 0) into 0
1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.958 * [taylor]: Taking taylor expansion of im in re
1.958 * [backup-simplify]: Simplify im into im
1.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.958 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.958 * [taylor]: Taking taylor expansion of re in re
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.958 * [backup-simplify]: Simplify (* 1 1) into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.959 * [backup-simplify]: Simplify (+ 0 1) into 1
1.959 * [backup-simplify]: Simplify (sqrt 1) into 1
1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.960 * [taylor]: Taking taylor expansion of 1 in im
1.960 * [backup-simplify]: Simplify 1 into 1
1.960 * [taylor]: Taking taylor expansion of 0 in im
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 1 into 1
1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.963 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.963 * [taylor]: Taking taylor expansion of 1/2 in im
1.963 * [backup-simplify]: Simplify 1/2 into 1/2
1.963 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.963 * [taylor]: Taking taylor expansion of im in im
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (* 1 1) into 1
1.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.966 * [taylor]: Taking taylor expansion of 0 in im
1.966 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.967 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
1.968 * [backup-simplify]: Simplify (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
1.968 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
1.968 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
1.968 * [taylor]: Taking taylor expansion of re in im
1.968 * [backup-simplify]: Simplify re into re
1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.968 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.968 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.968 * [taylor]: Taking taylor expansion of re in im
1.968 * [backup-simplify]: Simplify re into re
1.968 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.968 * [taylor]: Taking taylor expansion of im in im
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 1 into 1
1.968 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.968 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.968 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.968 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.969 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.969 * [taylor]: Taking taylor expansion of re in re
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.969 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.969 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.969 * [taylor]: Taking taylor expansion of re in re
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.969 * [taylor]: Taking taylor expansion of im in re
1.969 * [backup-simplify]: Simplify im into im
1.969 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.969 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.969 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.970 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
1.970 * [taylor]: Taking taylor expansion of re in re
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.970 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.970 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.970 * [taylor]: Taking taylor expansion of re in re
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.970 * [taylor]: Taking taylor expansion of im in re
1.970 * [backup-simplify]: Simplify im into im
1.970 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.970 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.970 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.970 * [backup-simplify]: Simplify (+ 0 im) into im
1.970 * [taylor]: Taking taylor expansion of im in im
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify (+ 1 0) into 1
1.971 * [taylor]: Taking taylor expansion of 1 in im
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (* 1 1) into 1
1.971 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.972 * [backup-simplify]: Simplify (+ 1 0) into 1
1.972 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.972 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
1.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.972 * [taylor]: Taking taylor expansion of 1/2 in im
1.972 * [backup-simplify]: Simplify 1/2 into 1/2
1.972 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.972 * [taylor]: Taking taylor expansion of im in im
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (/ 1 1) into 1
1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.974 * [backup-simplify]: Simplify (+ 0 0) into 0
1.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.975 * [backup-simplify]: Simplify (+ 0 0) into 0
1.975 * [taylor]: Taking taylor expansion of 0 in im
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
1.977 * [backup-simplify]: Simplify (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
1.977 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.977 * [taylor]: Taking taylor expansion of re in im
1.977 * [backup-simplify]: Simplify re into re
1.977 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.977 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.977 * [taylor]: Taking taylor expansion of im in im
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (* 1 1) into 1
1.977 * [backup-simplify]: Simplify (/ 1 1) into 1
1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.977 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.977 * [taylor]: Taking taylor expansion of re in im
1.977 * [backup-simplify]: Simplify re into re
1.978 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.978 * [backup-simplify]: Simplify (+ 1 0) into 1
1.978 * [backup-simplify]: Simplify (sqrt 1) into 1
1.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.979 * [backup-simplify]: Simplify (+ 0 0) into 0
1.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.980 * [taylor]: Taking taylor expansion of re in re
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (/ 1 1) into 1
1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.980 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.980 * [taylor]: Taking taylor expansion of im in re
1.980 * [backup-simplify]: Simplify im into im
1.980 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.980 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.980 * [taylor]: Taking taylor expansion of re in re
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [backup-simplify]: Simplify (* 1 1) into 1
1.981 * [backup-simplify]: Simplify (/ 1 1) into 1
1.981 * [backup-simplify]: Simplify (+ 0 1) into 1
1.981 * [backup-simplify]: Simplify (sqrt 1) into 1
1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.983 * [taylor]: Taking taylor expansion of re in re
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (/ 1 1) into 1
1.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.983 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.983 * [taylor]: Taking taylor expansion of im in re
1.983 * [backup-simplify]: Simplify im into im
1.983 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.983 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.983 * [taylor]: Taking taylor expansion of re in re
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (* 1 1) into 1
1.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1.984 * [backup-simplify]: Simplify (+ 0 1) into 1
1.984 * [backup-simplify]: Simplify (sqrt 1) into 1
1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.985 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.986 * [backup-simplify]: Simplify (+ 1 1) into 2
1.986 * [taylor]: Taking taylor expansion of 2 in im
1.986 * [backup-simplify]: Simplify 2 into 2
1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.986 * [backup-simplify]: Simplify (+ 0 0) into 0
1.986 * [taylor]: Taking taylor expansion of 0 in im
1.986 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 2 into 2
1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.988 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.989 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.989 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.989 * [taylor]: Taking taylor expansion of 1/2 in im
1.989 * [backup-simplify]: Simplify 1/2 into 1/2
1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.989 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.989 * [taylor]: Taking taylor expansion of im in im
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [backup-simplify]: Simplify (* 1 1) into 1
1.989 * [backup-simplify]: Simplify (/ 1 1) into 1
1.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [taylor]: Taking taylor expansion of 0 in im
1.993 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
1.996 * [backup-simplify]: Simplify (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
1.996 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
1.996 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.996 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.996 * [taylor]: Taking taylor expansion of im in im
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 1 into 1
1.996 * [backup-simplify]: Simplify (* 1 1) into 1
1.997 * [backup-simplify]: Simplify (/ 1 1) into 1
1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.997 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.997 * [taylor]: Taking taylor expansion of re in im
1.997 * [backup-simplify]: Simplify re into re
1.997 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.997 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.997 * [backup-simplify]: Simplify (+ 1 0) into 1
1.997 * [backup-simplify]: Simplify (sqrt 1) into 1
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.999 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.999 * [taylor]: Taking taylor expansion of re in im
1.999 * [backup-simplify]: Simplify re into re
1.999 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.999 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.999 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.999 * [taylor]: Taking taylor expansion of im in re
1.999 * [backup-simplify]: Simplify im into im
1.999 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.999 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.999 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.999 * [taylor]: Taking taylor expansion of re in re
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (* 1 1) into 1
2.000 * [backup-simplify]: Simplify (/ 1 1) into 1
2.000 * [backup-simplify]: Simplify (+ 0 1) into 1
2.000 * [backup-simplify]: Simplify (sqrt 1) into 1
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.001 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.001 * [taylor]: Taking taylor expansion of re in re
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 1 into 1
2.002 * [backup-simplify]: Simplify (/ 1 1) into 1
2.002 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.002 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.002 * [taylor]: Taking taylor expansion of im in re
2.002 * [backup-simplify]: Simplify im into im
2.002 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.002 * [taylor]: Taking taylor expansion of re in re
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.002 * [backup-simplify]: Simplify (* 1 1) into 1
2.002 * [backup-simplify]: Simplify (/ 1 1) into 1
2.003 * [backup-simplify]: Simplify (+ 0 1) into 1
2.003 * [backup-simplify]: Simplify (sqrt 1) into 1
2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.004 * [taylor]: Taking taylor expansion of re in re
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 1 into 1
2.005 * [backup-simplify]: Simplify (/ 1 1) into 1
2.005 * [backup-simplify]: Simplify (- 1) into -1
2.005 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.005 * [taylor]: Taking taylor expansion of 0 in im
2.005 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.006 * [backup-simplify]: Simplify (- 0) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [taylor]: Taking taylor expansion of 0 in im
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.007 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.008 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.009 * [backup-simplify]: Simplify (- 0) into 0
2.009 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.009 * [taylor]: Taking taylor expansion of 1/2 in im
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.009 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.009 * [taylor]: Taking taylor expansion of im in im
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (* 1 1) into 1
2.009 * [backup-simplify]: Simplify (/ 1 1) into 1
2.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (- 0) into 0
2.014 * [backup-simplify]: Simplify (+ 0 0) into 0
2.014 * [taylor]: Taking taylor expansion of 0 in im
2.014 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * * * [progress]: simplifying candidates
2.016 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re))
  (- (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
2.017 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (exp (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp h1))
 (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (exp (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (* (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)))
 (cbrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (* (* (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (sqrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (sqrt (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))
 (+ (pow (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow h1 3))
 (+ (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (- (* h1 h1) (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)))
 (- (* (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* h1 h1))
 (- (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (+ h1 h0)
 (* 2 h1)
 0
2.021 * * [simplify]: iteration  0 :  170  enodes  (cost  720 )
2.025 * * [simplify]: iteration  1 :  558  enodes  (cost  621 )
2.038 * * [simplify]: iteration  2 :  2165  enodes  (cost  604 )
2.094 * * [simplify]: iteration  3 :  5002  enodes  (cost  603 )
2.097 * * * [progress]: adding candidates to table
2.430 * [progress]: [Phase 3 of 3] Extracting.
2.430 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.436 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
2.436 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.471 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.506 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.553 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.602 * * * [regime]: Found split indices: #<option (#s(si 3 124) #s(si 0 145) #s(si 2 209) #s(si 5 255))>
2.603 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.728 * [regimes]: Found splitpoints: (#s(sp 3 re -1.0158325814464316e-264) #s(sp 0 re 2.165263052480363e-217) #s(sp 2 re 2.0656519016176576e+119) #s(sp 5 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow re 3) (* (pow (sqrt (+ (* re re) (* im im))) 3/2) (pow (sqrt (+ (* re re) (* im im))) 3/2))) (+ (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (* re re)) (* im im)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>)
2.729 * [simplify]: Simplifying:
  (if (<= re -1.0158325814464316e-264) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) (* -1 re)))))) (if (<= re 2.165263052480363e-217) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 2.0656519016176576e+119) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))) (* 0.5 (sqrt (* 2.0 (* 2 re)))))))
2.729 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h6) (* h2 (sqrt (* h1 (/ (+ (* h3 h3) 0) (+ (sqrt (+ (* h0 h0) (* h3 h3))) (* -1 h0)))))) (if (<= h0 h5) (* h2 (sqrt (* h1 (+ h0 h3)))) (if (<= h0 h4) (* h2 (sqrt (* h1 (exp (log (+ (* (sqrt (sqrt (+ (* h0 h0) (* h3 h3)))) (sqrt (sqrt (+ (* h0 h0) (* h3 h3))))) h0)))))) (* h2 (sqrt (* h1 (* 2 h0)))))))
2.730 * * [simplify]: iteration  0 :  59  enodes  (cost  37 )
2.730 * * [simplify]: iteration  1 :  63  enodes  (cost  37 )
2.730 * * [simplify]: iteration  2 :  63  enodes  (cost  37 )
3.816 * [regime-testing]: Baseline error score: 40.55495188426055
3.816 * [regime-testing]: Oracle error score: 17.45917347353642
3.818 * [regime-testing]: End program error score: 27.362102037106258
3.869 * [regime-testing]: Target error score: 33.81606137727471