8.191 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.017 * * * [progress]: [2/2] Setting up program.
0.019 * [progress]: [Phase 2 of 3] Improving.
0.019 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.019 * * [simplify]: Extracting # 0 : cost  0
0.019 * * [simplify]: Extracting # 1 : cost  0
0.019 * * [simplify]: Extracting # 2 : cost  0
0.019 * * [simplify]: Extracting # 3 : cost  0
0.019 * * [simplify]: Extracting # 4 : cost  0
0.019 * * [simplify]: Extracting # 5 : cost  0
0.019 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
0.020 * * [simplify]: Extracting # 0 : cost  0
0.020 * * [simplify]: iteration  1 :  7  enodes  (cost  8 )
0.021 * * [simplify]: Extracting # 0 : cost  0
0.021 * * [simplify]: iteration done:  7  enodes  (cost  8 )
0.021 * [simplify]: Simplified to:
  (sqrt (+ (* re re) (* im im)))
0.022 * * [progress]: iteration 1 / 4
0.022 * * * [progress]: picking best candidate
0.023 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.023 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.056 * * * [progress]: generating series expansions
0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.056 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.056 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.056 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.056 * [taylor]: Taking taylor expansion of re in im
0.056 * [backup-simplify]: Simplify re into re
0.056 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.056 * [taylor]: Taking taylor expansion of im in im
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.057 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.057 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.057 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.058 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.058 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.058 * [taylor]: Taking taylor expansion of re in re
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.058 * [taylor]: Taking taylor expansion of im in re
0.058 * [backup-simplify]: Simplify im into im
0.058 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.058 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.058 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.059 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.059 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.059 * [taylor]: Taking taylor expansion of re in re
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.059 * [taylor]: Taking taylor expansion of im in re
0.059 * [backup-simplify]: Simplify im into im
0.059 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.059 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.060 * [taylor]: Taking taylor expansion of im in im
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify 0 into 0
0.061 * [taylor]: Taking taylor expansion of 0 in im
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [backup-simplify]: Simplify (* 1 1) into 1
0.062 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.062 * [backup-simplify]: Simplify (+ 1 0) into 1
0.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.063 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.063 * [taylor]: Taking taylor expansion of 1/2 in im
0.063 * [backup-simplify]: Simplify 1/2 into 1/2
0.063 * [taylor]: Taking taylor expansion of im in im
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.066 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.067 * [taylor]: Taking taylor expansion of 0 in im
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.068 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.069 * [taylor]: Taking taylor expansion of im in im
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.069 * [backup-simplify]: Simplify (/ 1 1) into 1
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.069 * [taylor]: Taking taylor expansion of re in im
0.069 * [backup-simplify]: Simplify re into re
0.069 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.070 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.070 * [backup-simplify]: Simplify (+ 1 0) into 1
0.070 * [backup-simplify]: Simplify (sqrt 1) into 1
0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.072 * [taylor]: Taking taylor expansion of im in re
0.072 * [backup-simplify]: Simplify im into im
0.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.072 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.072 * [taylor]: Taking taylor expansion of re in re
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (* 1 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [backup-simplify]: Simplify (+ 0 1) into 1
0.073 * [backup-simplify]: Simplify (sqrt 1) into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.075 * [taylor]: Taking taylor expansion of im in re
0.075 * [backup-simplify]: Simplify im into im
0.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.076 * [taylor]: Taking taylor expansion of re in re
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.077 * [backup-simplify]: Simplify (+ 0 1) into 1
0.077 * [backup-simplify]: Simplify (sqrt 1) into 1
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.079 * [taylor]: Taking taylor expansion of 1 in im
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [taylor]: Taking taylor expansion of 0 in im
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.083 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.083 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.083 * [taylor]: Taking taylor expansion of 1/2 in im
0.083 * [backup-simplify]: Simplify 1/2 into 1/2
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 (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.088 * [taylor]: Taking taylor expansion of 0 in im
0.088 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.100 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
0.101 * [backup-simplify]: Simplify (* 1 1) into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.101 * [taylor]: Taking taylor expansion of re in im
0.101 * [backup-simplify]: Simplify re into re
0.101 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.102 * [backup-simplify]: Simplify (+ 1 0) into 1
0.103 * [backup-simplify]: Simplify (sqrt 1) into 1
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.105 * [taylor]: Taking taylor expansion of im in re
0.105 * [backup-simplify]: Simplify im into im
0.105 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.106 * [taylor]: Taking taylor expansion of re in re
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (* 1 1) into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ 0 1) into 1
0.107 * [backup-simplify]: Simplify (sqrt 1) into 1
0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.109 * [taylor]: Taking taylor expansion of im in re
0.109 * [backup-simplify]: Simplify im into im
0.109 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.109 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.109 * [taylor]: Taking taylor expansion of re in re
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify 1 into 1
0.109 * [backup-simplify]: Simplify (* 1 1) into 1
0.109 * [backup-simplify]: Simplify (/ 1 1) into 1
0.110 * [backup-simplify]: Simplify (+ 0 1) into 1
0.110 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.111 * [taylor]: Taking taylor expansion of 1 in im
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of 0 in im
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.114 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.114 * [taylor]: Taking taylor expansion of 1/2 in im
0.114 * [backup-simplify]: Simplify 1/2 into 1/2
0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.114 * [taylor]: Taking taylor expansion of im in im
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.117 * [taylor]: Taking taylor expansion of 0 in im
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.119 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.119 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.119 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.119 * [taylor]: Taking taylor expansion of re in im
0.119 * [backup-simplify]: Simplify re into re
0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.119 * [taylor]: Taking taylor expansion of im in im
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.119 * [taylor]: Taking taylor expansion of re in re
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.119 * [taylor]: Taking taylor expansion of im in re
0.119 * [backup-simplify]: Simplify im into im
0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.119 * [taylor]: Taking taylor expansion of re in re
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.119 * [taylor]: Taking taylor expansion of im in re
0.119 * [backup-simplify]: Simplify im into im
0.119 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.119 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.119 * [taylor]: Taking taylor expansion of im in im
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in im
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (* 1 1) into 1
0.120 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.121 * [backup-simplify]: Simplify (+ 1 0) into 1
0.121 * [taylor]: Taking taylor expansion of 1 in im
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (* 1 1) into 1
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [taylor]: Taking taylor expansion of 0 in im
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.124 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in im
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.125 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.125 * [taylor]: Taking taylor expansion of im in im
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [backup-simplify]: Simplify (* 1 1) into 1
0.125 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.125 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.125 * [taylor]: Taking taylor expansion of re in im
0.125 * [backup-simplify]: Simplify re into re
0.125 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.126 * [taylor]: Taking taylor expansion of im in re
0.126 * [backup-simplify]: Simplify im into im
0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.126 * [taylor]: Taking taylor expansion of re in re
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.126 * [taylor]: Taking taylor expansion of im in re
0.126 * [backup-simplify]: Simplify im into im
0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.127 * [taylor]: Taking taylor expansion of re in re
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (* 1 1) into 1
0.127 * [backup-simplify]: Simplify (/ 1 1) into 1
0.127 * [backup-simplify]: Simplify (+ 0 1) into 1
0.127 * [taylor]: Taking taylor expansion of 1 in im
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in im
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.130 * [taylor]: Taking taylor expansion of im in im
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.130 * [backup-simplify]: Simplify (/ 1 1) into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in im
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [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 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in im
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.136 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.136 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.137 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.137 * [taylor]: Taking taylor expansion of im in im
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.137 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.137 * [taylor]: Taking taylor expansion of re in im
0.137 * [backup-simplify]: Simplify re into re
0.137 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.137 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.137 * [taylor]: Taking taylor expansion of im in re
0.137 * [backup-simplify]: Simplify im into im
0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.138 * [taylor]: Taking taylor expansion of re in re
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (* 1 1) into 1
0.138 * [backup-simplify]: Simplify (/ 1 1) into 1
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.138 * [taylor]: Taking taylor expansion of im in re
0.138 * [backup-simplify]: Simplify im into im
0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.138 * [taylor]: Taking taylor expansion of re in re
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.139 * [backup-simplify]: Simplify (/ 1 1) into 1
0.139 * [backup-simplify]: Simplify (+ 0 1) into 1
0.139 * [taylor]: Taking taylor expansion of 1 in im
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [taylor]: Taking taylor expansion of 0 in im
0.140 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 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
0.142 * [taylor]: Taking taylor expansion of im in im
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [taylor]: Taking taylor expansion of 0 in im
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in im
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.148 * * * [progress]: simplifying candidates
0.149 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
0.149 * * [simplify]: Extracting # 0 : cost  0
0.149 * * [simplify]: Extracting # 1 : cost  0
0.149 * * [simplify]: Extracting # 2 : cost  0
0.149 * * [simplify]: Extracting # 3 : cost  0
0.149 * * [simplify]: Extracting # 4 : cost  0
0.149 * * [simplify]: Extracting # 5 : cost  0
0.150 * * [simplify]: iteration  0 :  48  enodes  (cost  379 )
0.166 * * [simplify]: Extracting # 0 : cost  0
0.166 * * [simplify]: Extracting # 1 : cost  0
0.166 * * [simplify]: Extracting # 2 : cost  0
0.167 * * [simplify]: Extracting # 3 : cost  0
0.167 * * [simplify]: Extracting # 4 : cost  0
0.167 * * [simplify]: iteration  1 :  124  enodes  (cost  347 )
0.213 * * [simplify]: Extracting # 0 : cost  0
0.214 * * [simplify]: Extracting # 1 : cost  0
0.214 * * [simplify]: Extracting # 2 : cost  0
0.215 * * [simplify]: Extracting # 3 : cost  0
0.215 * * [simplify]: Extracting # 4 : cost  0
0.215 * * [simplify]: iteration  2 :  343  enodes  (cost  295 )
0.371 * * [simplify]: Extracting # 0 : cost  0
0.372 * * [simplify]: Extracting # 1 : cost  0
0.373 * * [simplify]: Extracting # 2 : cost  0
0.375 * * [simplify]: Extracting # 3 : cost  0
0.375 * * [simplify]: Extracting # 4 : cost  0
0.376 * * [simplify]: iteration  3 :  968  enodes  (cost  295 )
1.102 * * [simplify]: Extracting # 0 : cost  0
1.107 * * [simplify]: Extracting # 1 : cost  0
1.112 * * [simplify]: Extracting # 2 : cost  0
1.115 * * [simplify]: Extracting # 3 : cost  0
1.118 * * [simplify]: Extracting # 4 : cost  0
1.120 * * [simplify]: iteration  4 :  2668  enodes  (cost  295 )
2.351 * * [simplify]: Extracting # 0 : cost  0
2.368 * * [simplify]: Extracting # 1 : cost  0
2.379 * * [simplify]: Extracting # 2 : cost  0
2.390 * * [simplify]: Extracting # 3 : cost  0
2.399 * * [simplify]: Extracting # 4 : cost  0
2.406 * * [simplify]: iteration done:  5000  enodes  (cost  295 )
2.406 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
2.406 * * * [progress]: adding candidates to table
2.492 * * [progress]: iteration 2 / 4
2.493 * * * [progress]: picking best candidate
2.513 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
2.513 * * * [progress]: localizing error
2.522 * * * [progress]: generating rewritten candidates
2.522 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.530 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
2.540 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
2.643 * * * [progress]: generating series expansions
2.643 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.643 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.643 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.643 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.643 * [taylor]: Taking taylor expansion of re in im
2.644 * [backup-simplify]: Simplify re into re
2.644 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.644 * [taylor]: Taking taylor expansion of im in im
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify 1 into 1
2.644 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.644 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.644 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.644 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.644 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.645 * [taylor]: Taking taylor expansion of re in re
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.645 * [taylor]: Taking taylor expansion of im in re
2.645 * [backup-simplify]: Simplify im into im
2.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.645 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.645 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.645 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.645 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.645 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.645 * [taylor]: Taking taylor expansion of re in re
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.645 * [taylor]: Taking taylor expansion of im in re
2.645 * [backup-simplify]: Simplify im into im
2.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.646 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.646 * [taylor]: Taking taylor expansion of im in im
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [taylor]: Taking taylor expansion of 0 in im
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (* 1 1) into 1
2.647 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.647 * [backup-simplify]: Simplify (+ 1 0) into 1
2.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.648 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.648 * [taylor]: Taking taylor expansion of 1/2 in im
2.648 * [backup-simplify]: Simplify 1/2 into 1/2
2.648 * [taylor]: Taking taylor expansion of im in im
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.649 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.649 * [backup-simplify]: Simplify (+ 0 0) into 0
2.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.650 * [taylor]: Taking taylor expansion of 0 in im
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.650 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.651 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.651 * [taylor]: Taking taylor expansion of im in im
2.651 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify 1 into 1
2.651 * [backup-simplify]: Simplify (* 1 1) into 1
2.651 * [backup-simplify]: Simplify (/ 1 1) into 1
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.651 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.651 * [taylor]: Taking taylor expansion of re in im
2.651 * [backup-simplify]: Simplify re into re
2.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.651 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.652 * [backup-simplify]: Simplify (+ 1 0) into 1
2.652 * [backup-simplify]: Simplify (sqrt 1) into 1
2.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.653 * [backup-simplify]: Simplify (+ 0 0) into 0
2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.653 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.653 * [taylor]: Taking taylor expansion of im in re
2.653 * [backup-simplify]: Simplify im into im
2.653 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.654 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.654 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.654 * [taylor]: Taking taylor expansion of re in re
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify 1 into 1
2.654 * [backup-simplify]: Simplify (* 1 1) into 1
2.654 * [backup-simplify]: Simplify (/ 1 1) into 1
2.654 * [backup-simplify]: Simplify (+ 0 1) into 1
2.655 * [backup-simplify]: Simplify (sqrt 1) into 1
2.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.656 * [backup-simplify]: Simplify (+ 0 0) into 0
2.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.656 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.656 * [taylor]: Taking taylor expansion of im in re
2.656 * [backup-simplify]: Simplify im into im
2.656 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.656 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.656 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.656 * [taylor]: Taking taylor expansion of re in re
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (* 1 1) into 1
2.657 * [backup-simplify]: Simplify (/ 1 1) into 1
2.657 * [backup-simplify]: Simplify (+ 0 1) into 1
2.657 * [backup-simplify]: Simplify (sqrt 1) into 1
2.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.658 * [backup-simplify]: Simplify (+ 0 0) into 0
2.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.659 * [taylor]: Taking taylor expansion of 1 in im
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [taylor]: Taking taylor expansion of 0 in im
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.661 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.661 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.661 * [taylor]: Taking taylor expansion of 1/2 in im
2.661 * [backup-simplify]: Simplify 1/2 into 1/2
2.661 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.661 * [taylor]: Taking taylor expansion of im in im
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 1 into 1
2.661 * [backup-simplify]: Simplify (* 1 1) into 1
2.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.664 * [taylor]: Taking taylor expansion of 0 in im
2.664 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.666 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.666 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.666 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.666 * [taylor]: Taking taylor expansion of im in im
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 1 into 1
2.667 * [backup-simplify]: Simplify (* 1 1) into 1
2.667 * [backup-simplify]: Simplify (/ 1 1) into 1
2.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.667 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.667 * [taylor]: Taking taylor expansion of re in im
2.667 * [backup-simplify]: Simplify re into re
2.667 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.668 * [backup-simplify]: Simplify (+ 1 0) into 1
2.668 * [backup-simplify]: Simplify (sqrt 1) into 1
2.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.670 * [backup-simplify]: Simplify (+ 0 0) into 0
2.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.671 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.671 * [taylor]: Taking taylor expansion of im in re
2.671 * [backup-simplify]: Simplify im into im
2.671 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.671 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.671 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.671 * [taylor]: Taking taylor expansion of re in re
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 1 into 1
2.671 * [backup-simplify]: Simplify (* 1 1) into 1
2.672 * [backup-simplify]: Simplify (/ 1 1) into 1
2.672 * [backup-simplify]: Simplify (+ 0 1) into 1
2.672 * [backup-simplify]: Simplify (sqrt 1) into 1
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.674 * [backup-simplify]: Simplify (+ 0 0) into 0
2.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.675 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.675 * [taylor]: Taking taylor expansion of im in re
2.675 * [backup-simplify]: Simplify im into im
2.675 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.675 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.675 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.675 * [taylor]: Taking taylor expansion of re in re
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 1 into 1
2.676 * [backup-simplify]: Simplify (* 1 1) into 1
2.676 * [backup-simplify]: Simplify (/ 1 1) into 1
2.676 * [backup-simplify]: Simplify (+ 0 1) into 1
2.677 * [backup-simplify]: Simplify (sqrt 1) into 1
2.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.678 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.679 * [taylor]: Taking taylor expansion of 1 in im
2.679 * [backup-simplify]: Simplify 1 into 1
2.679 * [taylor]: Taking taylor expansion of 0 in im
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 1 into 1
2.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.681 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.682 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.682 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.682 * [taylor]: Taking taylor expansion of 1/2 in im
2.682 * [backup-simplify]: Simplify 1/2 into 1/2
2.682 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.682 * [taylor]: Taking taylor expansion of im in im
2.682 * [backup-simplify]: Simplify 0 into 0
2.682 * [backup-simplify]: Simplify 1 into 1
2.683 * [backup-simplify]: Simplify (* 1 1) into 1
2.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.687 * [backup-simplify]: Simplify (+ 0 0) into 0
2.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.688 * [taylor]: Taking taylor expansion of 0 in im
2.688 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.695 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
2.695 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.695 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.695 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.695 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.695 * [taylor]: Taking taylor expansion of re in im
2.695 * [backup-simplify]: Simplify re into re
2.696 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.696 * [taylor]: Taking taylor expansion of im in im
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.696 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.696 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.696 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.696 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.696 * [backup-simplify]: Simplify (+ 0 0) into 0
2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.697 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.697 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.697 * [taylor]: Taking taylor expansion of re in re
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.697 * [taylor]: Taking taylor expansion of im in re
2.697 * [backup-simplify]: Simplify im into im
2.697 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.697 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.697 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.698 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.698 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.698 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.698 * [taylor]: Taking taylor expansion of re in re
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 1 into 1
2.698 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.698 * [taylor]: Taking taylor expansion of im in re
2.698 * [backup-simplify]: Simplify im into im
2.698 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.698 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.698 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.698 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.699 * [backup-simplify]: Simplify (+ 0 0) into 0
2.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.699 * [taylor]: Taking taylor expansion of im in im
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [taylor]: Taking taylor expansion of 0 in im
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* 1 1) into 1
2.700 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.700 * [backup-simplify]: Simplify (+ 1 0) into 1
2.701 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.701 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.701 * [taylor]: Taking taylor expansion of 1/2 in im
2.701 * [backup-simplify]: Simplify 1/2 into 1/2
2.701 * [taylor]: Taking taylor expansion of im in im
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.704 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.704 * [backup-simplify]: Simplify (+ 0 0) into 0
2.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.704 * [taylor]: Taking taylor expansion of 0 in im
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.706 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.706 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.706 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.706 * [taylor]: Taking taylor expansion of im in im
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [backup-simplify]: Simplify (* 1 1) into 1
2.707 * [backup-simplify]: Simplify (/ 1 1) into 1
2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.707 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.707 * [taylor]: Taking taylor expansion of re in im
2.707 * [backup-simplify]: Simplify re into re
2.707 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.707 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.707 * [backup-simplify]: Simplify (+ 1 0) into 1
2.708 * [backup-simplify]: Simplify (sqrt 1) into 1
2.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.710 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.710 * [taylor]: Taking taylor expansion of im in re
2.710 * [backup-simplify]: Simplify im into im
2.710 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.710 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.711 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.711 * [taylor]: Taking taylor expansion of re in re
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify 1 into 1
2.711 * [backup-simplify]: Simplify (* 1 1) into 1
2.711 * [backup-simplify]: Simplify (/ 1 1) into 1
2.712 * [backup-simplify]: Simplify (+ 0 1) into 1
2.712 * [backup-simplify]: Simplify (sqrt 1) into 1
2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.714 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.714 * [taylor]: Taking taylor expansion of im in re
2.714 * [backup-simplify]: Simplify im into im
2.714 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.715 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.715 * [taylor]: Taking taylor expansion of re in re
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 1 into 1
2.715 * [backup-simplify]: Simplify (* 1 1) into 1
2.715 * [backup-simplify]: Simplify (/ 1 1) into 1
2.716 * [backup-simplify]: Simplify (+ 0 1) into 1
2.716 * [backup-simplify]: Simplify (sqrt 1) into 1
2.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.719 * [taylor]: Taking taylor expansion of 1 in im
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [taylor]: Taking taylor expansion of 0 in im
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.721 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.722 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.722 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.722 * [taylor]: Taking taylor expansion of 1/2 in im
2.722 * [backup-simplify]: Simplify 1/2 into 1/2
2.722 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.722 * [taylor]: Taking taylor expansion of im in im
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.722 * [backup-simplify]: Simplify (* 1 1) into 1
2.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.727 * [taylor]: Taking taylor expansion of 0 in im
2.727 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.730 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.730 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.730 * [taylor]: Taking taylor expansion of im in im
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (* 1 1) into 1
2.731 * [backup-simplify]: Simplify (/ 1 1) into 1
2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.731 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.731 * [taylor]: Taking taylor expansion of re in im
2.731 * [backup-simplify]: Simplify re into re
2.731 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.731 * [backup-simplify]: Simplify (+ 1 0) into 1
2.732 * [backup-simplify]: Simplify (sqrt 1) into 1
2.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.733 * [backup-simplify]: Simplify (+ 0 0) into 0
2.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.734 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.734 * [taylor]: Taking taylor expansion of im in re
2.734 * [backup-simplify]: Simplify im into im
2.734 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.735 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.735 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.735 * [taylor]: Taking taylor expansion of re in re
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [backup-simplify]: Simplify (* 1 1) into 1
2.735 * [backup-simplify]: Simplify (/ 1 1) into 1
2.736 * [backup-simplify]: Simplify (+ 0 1) into 1
2.736 * [backup-simplify]: Simplify (sqrt 1) into 1
2.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.737 * [backup-simplify]: Simplify (+ 0 0) into 0
2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.737 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.737 * [taylor]: Taking taylor expansion of im in re
2.737 * [backup-simplify]: Simplify im into im
2.737 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.738 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.738 * [taylor]: Taking taylor expansion of re in re
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (* 1 1) into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [backup-simplify]: Simplify (+ 0 1) into 1
2.739 * [backup-simplify]: Simplify (sqrt 1) into 1
2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.740 * [taylor]: Taking taylor expansion of 1 in im
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [taylor]: Taking taylor expansion of 0 in im
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.742 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.742 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.742 * [taylor]: Taking taylor expansion of 1/2 in im
2.742 * [backup-simplify]: Simplify 1/2 into 1/2
2.742 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.742 * [taylor]: Taking taylor expansion of im in im
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.742 * [backup-simplify]: Simplify (* 1 1) into 1
2.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (+ 0 0) into 0
2.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.746 * [taylor]: Taking taylor expansion of 0 in im
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.747 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.747 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
2.747 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.747 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.747 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.747 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.747 * [taylor]: Taking taylor expansion of re in im
2.747 * [backup-simplify]: Simplify re into re
2.747 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.747 * [taylor]: Taking taylor expansion of im in im
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.748 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.748 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.748 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.748 * [backup-simplify]: Simplify (+ 0 0) into 0
2.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.748 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.748 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.748 * [taylor]: Taking taylor expansion of re in re
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.748 * [taylor]: Taking taylor expansion of im in re
2.748 * [backup-simplify]: Simplify im into im
2.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.748 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.748 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.748 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.749 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.749 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.749 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.749 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.749 * [taylor]: Taking taylor expansion of re in re
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.749 * [taylor]: Taking taylor expansion of im in re
2.749 * [backup-simplify]: Simplify im into im
2.749 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.749 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.749 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.749 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.749 * [backup-simplify]: Simplify (+ 0 0) into 0
2.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.750 * [taylor]: Taking taylor expansion of im in im
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [taylor]: Taking taylor expansion of 0 in im
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (* 1 1) into 1
2.750 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.751 * [backup-simplify]: Simplify (+ 1 0) into 1
2.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.751 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.751 * [taylor]: Taking taylor expansion of 1/2 in im
2.751 * [backup-simplify]: Simplify 1/2 into 1/2
2.751 * [taylor]: Taking taylor expansion of im in im
2.751 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.753 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.753 * [backup-simplify]: Simplify (+ 0 0) into 0
2.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.753 * [taylor]: Taking taylor expansion of 0 in im
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.754 * [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))))
2.754 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.754 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.754 * [taylor]: Taking taylor expansion of im in im
2.754 * [backup-simplify]: Simplify 0 into 0
2.754 * [backup-simplify]: Simplify 1 into 1
2.755 * [backup-simplify]: Simplify (* 1 1) into 1
2.755 * [backup-simplify]: Simplify (/ 1 1) into 1
2.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.755 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.755 * [taylor]: Taking taylor expansion of re in im
2.755 * [backup-simplify]: Simplify re into re
2.755 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.755 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.755 * [backup-simplify]: Simplify (+ 1 0) into 1
2.756 * [backup-simplify]: Simplify (sqrt 1) into 1
2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (+ 0 0) into 0
2.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.757 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.757 * [taylor]: Taking taylor expansion of im in re
2.757 * [backup-simplify]: Simplify im into im
2.757 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.757 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.757 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.757 * [taylor]: Taking taylor expansion of re in re
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (* 1 1) into 1
2.758 * [backup-simplify]: Simplify (/ 1 1) into 1
2.758 * [backup-simplify]: Simplify (+ 0 1) into 1
2.759 * [backup-simplify]: Simplify (sqrt 1) into 1
2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (+ 0 0) into 0
2.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.760 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.760 * [taylor]: Taking taylor expansion of im in re
2.760 * [backup-simplify]: Simplify im into im
2.760 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.760 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.760 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.760 * [taylor]: Taking taylor expansion of re in re
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 1 into 1
2.761 * [backup-simplify]: Simplify (* 1 1) into 1
2.761 * [backup-simplify]: Simplify (/ 1 1) into 1
2.761 * [backup-simplify]: Simplify (+ 0 1) into 1
2.761 * [backup-simplify]: Simplify (sqrt 1) into 1
2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (+ 0 0) into 0
2.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.764 * [taylor]: Taking taylor expansion of 1 in im
2.764 * [backup-simplify]: Simplify 1 into 1
2.764 * [taylor]: Taking taylor expansion of 0 in im
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.766 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.767 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.767 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.767 * [taylor]: Taking taylor expansion of 1/2 in im
2.767 * [backup-simplify]: Simplify 1/2 into 1/2
2.767 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.767 * [taylor]: Taking taylor expansion of im in im
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 1 into 1
2.768 * [backup-simplify]: Simplify (* 1 1) into 1
2.768 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (+ 0 0) into 0
2.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.773 * [taylor]: Taking taylor expansion of 0 in im
2.773 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.776 * [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))))
2.776 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.776 * [taylor]: Taking taylor expansion of im in im
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 1 into 1
2.776 * [backup-simplify]: Simplify (* 1 1) into 1
2.777 * [backup-simplify]: Simplify (/ 1 1) into 1
2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.777 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.777 * [taylor]: Taking taylor expansion of re in im
2.777 * [backup-simplify]: Simplify re into re
2.777 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.777 * [backup-simplify]: Simplify (+ 1 0) into 1
2.778 * [backup-simplify]: Simplify (sqrt 1) into 1
2.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.779 * [backup-simplify]: Simplify (+ 0 0) into 0
2.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.780 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.780 * [taylor]: Taking taylor expansion of im in re
2.780 * [backup-simplify]: Simplify im into im
2.780 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.781 * [taylor]: Taking taylor expansion of re in re
2.781 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify 1 into 1
2.781 * [backup-simplify]: Simplify (* 1 1) into 1
2.781 * [backup-simplify]: Simplify (/ 1 1) into 1
2.782 * [backup-simplify]: Simplify (+ 0 1) into 1
2.782 * [backup-simplify]: Simplify (sqrt 1) into 1
2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.784 * [backup-simplify]: Simplify (+ 0 0) into 0
2.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.785 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.785 * [taylor]: Taking taylor expansion of im in re
2.785 * [backup-simplify]: Simplify im into im
2.785 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.785 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.785 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.785 * [taylor]: Taking taylor expansion of re in re
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.785 * [backup-simplify]: Simplify (* 1 1) into 1
2.786 * [backup-simplify]: Simplify (/ 1 1) into 1
2.786 * [backup-simplify]: Simplify (+ 0 1) into 1
2.786 * [backup-simplify]: Simplify (sqrt 1) into 1
2.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.787 * [backup-simplify]: Simplify (+ 0 0) into 0
2.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.788 * [taylor]: Taking taylor expansion of 1 in im
2.788 * [backup-simplify]: Simplify 1 into 1
2.788 * [taylor]: Taking taylor expansion of 0 in im
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 1 into 1
2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.789 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.790 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.790 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.790 * [taylor]: Taking taylor expansion of 1/2 in im
2.790 * [backup-simplify]: Simplify 1/2 into 1/2
2.790 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.790 * [taylor]: Taking taylor expansion of im in im
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.790 * [backup-simplify]: Simplify (* 1 1) into 1
2.790 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.793 * [backup-simplify]: Simplify (+ 0 0) into 0
2.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.793 * [taylor]: Taking taylor expansion of 0 in im
2.793 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.794 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
2.795 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
2.795 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
2.795 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.795 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.795 * [taylor]: Taking taylor expansion of re in im
2.795 * [backup-simplify]: Simplify re into re
2.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.795 * [taylor]: Taking taylor expansion of im in im
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.795 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.795 * [taylor]: Taking taylor expansion of re in re
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.795 * [taylor]: Taking taylor expansion of im in re
2.795 * [backup-simplify]: Simplify im into im
2.795 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.795 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.795 * [taylor]: Taking taylor expansion of re in re
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.795 * [taylor]: Taking taylor expansion of im in re
2.795 * [backup-simplify]: Simplify im into im
2.795 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.795 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.795 * [taylor]: Taking taylor expansion of im in im
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.796 * [backup-simplify]: Simplify (+ 0 0) into 0
2.796 * [taylor]: Taking taylor expansion of 0 in im
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify (* 1 1) into 1
2.796 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.796 * [backup-simplify]: Simplify (+ 1 0) into 1
2.796 * [taylor]: Taking taylor expansion of 1 in im
2.796 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify 0 into 0
2.797 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.798 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.798 * [taylor]: Taking taylor expansion of 0 in im
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.800 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [taylor]: Taking taylor expansion of 0 in im
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
2.800 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
2.800 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.800 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.800 * [taylor]: Taking taylor expansion of im in im
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [backup-simplify]: Simplify (* 1 1) into 1
2.801 * [backup-simplify]: Simplify (/ 1 1) into 1
2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.801 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.801 * [taylor]: Taking taylor expansion of re in im
2.801 * [backup-simplify]: Simplify re into re
2.801 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.801 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.801 * [taylor]: Taking taylor expansion of im in re
2.801 * [backup-simplify]: Simplify im into im
2.801 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.801 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.802 * [taylor]: Taking taylor expansion of re in re
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.802 * [backup-simplify]: Simplify (* 1 1) into 1
2.802 * [backup-simplify]: Simplify (/ 1 1) into 1
2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.802 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.802 * [taylor]: Taking taylor expansion of im in re
2.802 * [backup-simplify]: Simplify im into im
2.802 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.803 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.803 * [taylor]: Taking taylor expansion of re in re
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.803 * [backup-simplify]: Simplify (* 1 1) into 1
2.803 * [backup-simplify]: Simplify (/ 1 1) into 1
2.803 * [backup-simplify]: Simplify (+ 0 1) into 1
2.803 * [taylor]: Taking taylor expansion of 1 in im
2.803 * [backup-simplify]: Simplify 1 into 1
2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.804 * [backup-simplify]: Simplify (+ 0 0) into 0
2.805 * [taylor]: Taking taylor expansion of 0 in im
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.806 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.806 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.806 * [taylor]: Taking taylor expansion of im in im
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (* 1 1) into 1
2.806 * [backup-simplify]: Simplify (/ 1 1) into 1
2.806 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.811 * [taylor]: Taking taylor expansion of 0 in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (+ 0 0) into 0
2.814 * [taylor]: Taking taylor expansion of 0 in im
2.814 * [backup-simplify]: Simplify 0 into 0
2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.815 * [backup-simplify]: Simplify 0 into 0
2.815 * [backup-simplify]: Simplify 0 into 0
2.815 * [backup-simplify]: Simplify 0 into 0
2.815 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
2.816 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
2.816 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.816 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.816 * [taylor]: Taking taylor expansion of im in im
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify 1 into 1
2.816 * [backup-simplify]: Simplify (* 1 1) into 1
2.816 * [backup-simplify]: Simplify (/ 1 1) into 1
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.816 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.816 * [taylor]: Taking taylor expansion of re in im
2.816 * [backup-simplify]: Simplify re into re
2.816 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.816 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.816 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.816 * [taylor]: Taking taylor expansion of im in re
2.817 * [backup-simplify]: Simplify im into im
2.817 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.817 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.817 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.817 * [taylor]: Taking taylor expansion of re in re
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 1 into 1
2.817 * [backup-simplify]: Simplify (* 1 1) into 1
2.817 * [backup-simplify]: Simplify (/ 1 1) into 1
2.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.817 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.817 * [taylor]: Taking taylor expansion of im in re
2.817 * [backup-simplify]: Simplify im into im
2.817 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.818 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.818 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.818 * [taylor]: Taking taylor expansion of re in re
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 1 into 1
2.818 * [backup-simplify]: Simplify (* 1 1) into 1
2.819 * [backup-simplify]: Simplify (/ 1 1) into 1
2.819 * [backup-simplify]: Simplify (+ 0 1) into 1
2.819 * [taylor]: Taking taylor expansion of 1 in im
2.819 * [backup-simplify]: Simplify 1 into 1
2.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.821 * [backup-simplify]: Simplify (+ 0 0) into 0
2.821 * [taylor]: Taking taylor expansion of 0 in im
2.821 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.823 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.823 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.823 * [taylor]: Taking taylor expansion of im in im
2.823 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify 1 into 1
2.824 * [backup-simplify]: Simplify (* 1 1) into 1
2.824 * [backup-simplify]: Simplify (/ 1 1) into 1
2.824 * [backup-simplify]: Simplify 1 into 1
2.824 * [backup-simplify]: Simplify 1 into 1
2.824 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.826 * [backup-simplify]: Simplify (+ 0 0) into 0
2.826 * [taylor]: Taking taylor expansion of 0 in im
2.826 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [taylor]: Taking taylor expansion of 0 in im
2.829 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
2.831 * * * [progress]: simplifying candidates
2.833 * [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))))
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  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
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  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
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  (log (sqrt (+ (* re re) (* im im))))
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  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
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  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
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  (+ 1/2 1/2)
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  (+ (/ 1 2) 1/2)
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  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
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  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
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  (* (sqrt 1) (sqrt 1))
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
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  (* 2 1/2)
  (* 2 1)
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  (* 2 (/ 1 2))
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  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
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  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
2.836 * * [simplify]: Extracting # 0 : cost  0
2.836 * * [simplify]: Extracting # 1 : cost  0
2.836 * * [simplify]: Extracting # 2 : cost  0
2.836 * * [simplify]: Extracting # 3 : cost  0
2.836 * * [simplify]: Extracting # 4 : cost  0
2.837 * * [simplify]: Extracting # 5 : cost  0
2.837 * * [simplify]: Extracting # 6 : cost  0
2.837 * * [simplify]: iteration  0 :  121  enodes  (cost  2803 )
2.883 * * [simplify]: Extracting # 0 : cost  0
2.883 * * [simplify]: Extracting # 1 : cost  0
2.884 * * [simplify]: Extracting # 2 : cost  0
2.884 * * [simplify]: Extracting # 3 : cost  0
2.884 * * [simplify]: Extracting # 4 : cost  0
2.885 * * [simplify]: iteration  1 :  233  enodes  (cost  1759 )
2.956 * * [simplify]: Extracting # 0 : cost  0
2.957 * * [simplify]: Extracting # 1 : cost  0
2.958 * * [simplify]: Extracting # 2 : cost  0
2.958 * * [simplify]: Extracting # 3 : cost  0
2.959 * * [simplify]: Extracting # 4 : cost  0
2.959 * * [simplify]: iteration  2 :  638  enodes  (cost  1533 )
3.476 * * [simplify]: Extracting # 0 : cost  0
3.482 * * [simplify]: Extracting # 1 : cost  0
3.487 * * [simplify]: Extracting # 2 : cost  0
3.491 * * [simplify]: Extracting # 3 : cost  0
3.495 * * [simplify]: Extracting # 4 : cost  0
3.499 * * [simplify]: iteration  3 :  2187  enodes  (cost  1496 )
4.937 * * [simplify]: Extracting # 0 : cost  0
4.947 * * [simplify]: Extracting # 1 : cost  0
4.959 * * [simplify]: Extracting # 2 : cost  0
4.971 * * [simplify]: Extracting # 3 : cost  0
4.991 * * [simplify]: Extracting # 4 : cost  0
5.003 * * [simplify]: iteration done:  5000  enodes  (cost  1457 )
5.004 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4)
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  (sqrt (sqrt (+ (* re re) (* im im))))
  1
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  (sqrt (- (pow re 4) (pow im 4)))
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  1/2
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  (sqrt (sqrt (+ (* re re) (* im im))))
  1
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  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* re re) (* im im)))
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  2
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  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
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  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
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  (sqrt (sqrt (+ (* re re) (* im im))))
  1
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  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5)
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  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
5.006 * * * [progress]: adding candidates to table
5.342 * * [progress]: iteration 3 / 4
5.342 * * * [progress]: picking best candidate
5.352 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))>
5.352 * * * [progress]: localizing error
5.377 * * * [progress]: generating rewritten candidates
5.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
5.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
5.403 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
5.411 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
5.421 * * * [progress]: generating series expansions
5.421 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
5.421 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.421 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.421 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.421 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.421 * [taylor]: Taking taylor expansion of re in im
5.421 * [backup-simplify]: Simplify re into re
5.421 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.421 * [taylor]: Taking taylor expansion of im in im
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 1 into 1
5.421 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.422 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.422 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.422 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.422 * [backup-simplify]: Simplify (+ 0 0) into 0
5.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.422 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.422 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.422 * [taylor]: Taking taylor expansion of re in re
5.422 * [backup-simplify]: Simplify 0 into 0
5.422 * [backup-simplify]: Simplify 1 into 1
5.422 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.422 * [taylor]: Taking taylor expansion of im in re
5.422 * [backup-simplify]: Simplify im into im
5.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.423 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.423 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.423 * [backup-simplify]: Simplify (+ 0 0) into 0
5.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.423 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.423 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.423 * [taylor]: Taking taylor expansion of re in re
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 1 into 1
5.423 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.423 * [taylor]: Taking taylor expansion of im in re
5.423 * [backup-simplify]: Simplify im into im
5.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.424 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.424 * [backup-simplify]: Simplify (+ 0 0) into 0
5.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.424 * [taylor]: Taking taylor expansion of im in im
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [taylor]: Taking taylor expansion of 0 in im
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify (* 1 1) into 1
5.425 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.425 * [backup-simplify]: Simplify (+ 1 0) into 1
5.426 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.426 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.426 * [taylor]: Taking taylor expansion of 1/2 in im
5.426 * [backup-simplify]: Simplify 1/2 into 1/2
5.426 * [taylor]: Taking taylor expansion of im in im
5.426 * [backup-simplify]: Simplify 0 into 0
5.426 * [backup-simplify]: Simplify 1 into 1
5.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.429 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.429 * [backup-simplify]: Simplify (+ 0 0) into 0
5.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.429 * [taylor]: Taking taylor expansion of 0 in im
5.429 * [backup-simplify]: Simplify 0 into 0
5.429 * [backup-simplify]: Simplify 0 into 0
5.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.430 * [backup-simplify]: Simplify 0 into 0
5.430 * [backup-simplify]: Simplify 0 into 0
5.430 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.431 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.431 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.431 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.431 * [taylor]: Taking taylor expansion of im in im
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 1 into 1
5.432 * [backup-simplify]: Simplify (* 1 1) into 1
5.432 * [backup-simplify]: Simplify (/ 1 1) into 1
5.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.432 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.432 * [taylor]: Taking taylor expansion of re in im
5.432 * [backup-simplify]: Simplify re into re
5.432 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.432 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.433 * [backup-simplify]: Simplify (+ 1 0) into 1
5.433 * [backup-simplify]: Simplify (sqrt 1) into 1
5.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.435 * [backup-simplify]: Simplify (+ 0 0) into 0
5.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.437 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.437 * [taylor]: Taking taylor expansion of im in re
5.437 * [backup-simplify]: Simplify im into im
5.438 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.438 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.438 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.438 * [taylor]: Taking taylor expansion of re in re
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 1 into 1
5.438 * [backup-simplify]: Simplify (* 1 1) into 1
5.439 * [backup-simplify]: Simplify (/ 1 1) into 1
5.439 * [backup-simplify]: Simplify (+ 0 1) into 1
5.440 * [backup-simplify]: Simplify (sqrt 1) into 1
5.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.442 * [backup-simplify]: Simplify (+ 0 0) into 0
5.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.443 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.443 * [taylor]: Taking taylor expansion of im in re
5.443 * [backup-simplify]: Simplify im into im
5.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.443 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.443 * [taylor]: Taking taylor expansion of re in re
5.443 * [backup-simplify]: Simplify 0 into 0
5.443 * [backup-simplify]: Simplify 1 into 1
5.444 * [backup-simplify]: Simplify (* 1 1) into 1
5.444 * [backup-simplify]: Simplify (/ 1 1) into 1
5.444 * [backup-simplify]: Simplify (+ 0 1) into 1
5.453 * [backup-simplify]: Simplify (sqrt 1) into 1
5.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.455 * [backup-simplify]: Simplify (+ 0 0) into 0
5.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.456 * [taylor]: Taking taylor expansion of 1 in im
5.456 * [backup-simplify]: Simplify 1 into 1
5.456 * [taylor]: Taking taylor expansion of 0 in im
5.456 * [backup-simplify]: Simplify 0 into 0
5.456 * [backup-simplify]: Simplify 1 into 1
5.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.458 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.460 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.460 * [taylor]: Taking taylor expansion of 1/2 in im
5.460 * [backup-simplify]: Simplify 1/2 into 1/2
5.460 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.460 * [taylor]: Taking taylor expansion of im in im
5.460 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify 1 into 1
5.460 * [backup-simplify]: Simplify (* 1 1) into 1
5.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.465 * [backup-simplify]: Simplify (+ 0 0) into 0
5.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.466 * [taylor]: Taking taylor expansion of 0 in im
5.466 * [backup-simplify]: Simplify 0 into 0
5.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.469 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.469 * [taylor]: Taking taylor expansion of im in im
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.470 * [backup-simplify]: Simplify (* 1 1) into 1
5.470 * [backup-simplify]: Simplify (/ 1 1) into 1
5.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.470 * [taylor]: Taking taylor expansion of re in im
5.470 * [backup-simplify]: Simplify re into re
5.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.471 * [backup-simplify]: Simplify (+ 1 0) into 1
5.471 * [backup-simplify]: Simplify (sqrt 1) into 1
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.473 * [backup-simplify]: Simplify (+ 0 0) into 0
5.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.474 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.474 * [taylor]: Taking taylor expansion of im in re
5.474 * [backup-simplify]: Simplify im into im
5.474 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.474 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.474 * [taylor]: Taking taylor expansion of re in re
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 1 into 1
5.475 * [backup-simplify]: Simplify (* 1 1) into 1
5.475 * [backup-simplify]: Simplify (/ 1 1) into 1
5.476 * [backup-simplify]: Simplify (+ 0 1) into 1
5.476 * [backup-simplify]: Simplify (sqrt 1) into 1
5.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.478 * [backup-simplify]: Simplify (+ 0 0) into 0
5.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.479 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.479 * [taylor]: Taking taylor expansion of im in re
5.479 * [backup-simplify]: Simplify im into im
5.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.479 * [taylor]: Taking taylor expansion of re in re
5.479 * [backup-simplify]: Simplify 0 into 0
5.479 * [backup-simplify]: Simplify 1 into 1
5.480 * [backup-simplify]: Simplify (* 1 1) into 1
5.480 * [backup-simplify]: Simplify (/ 1 1) into 1
5.480 * [backup-simplify]: Simplify (+ 0 1) into 1
5.481 * [backup-simplify]: Simplify (sqrt 1) into 1
5.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.482 * [backup-simplify]: Simplify (+ 0 0) into 0
5.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.483 * [taylor]: Taking taylor expansion of 1 in im
5.483 * [backup-simplify]: Simplify 1 into 1
5.483 * [taylor]: Taking taylor expansion of 0 in im
5.483 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 1 into 1
5.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.486 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.487 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.487 * [taylor]: Taking taylor expansion of 1/2 in im
5.487 * [backup-simplify]: Simplify 1/2 into 1/2
5.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.487 * [taylor]: Taking taylor expansion of im in im
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (* 1 1) into 1
5.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.493 * [taylor]: Taking taylor expansion of 0 in im
5.493 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
5.496 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.496 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.496 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.496 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.496 * [taylor]: Taking taylor expansion of re in im
5.496 * [backup-simplify]: Simplify re into re
5.496 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.496 * [taylor]: Taking taylor expansion of im in im
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify 1 into 1
5.496 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.497 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.497 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.497 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.497 * [backup-simplify]: Simplify (+ 0 0) into 0
5.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.497 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.498 * [taylor]: Taking taylor expansion of re in re
5.498 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify 1 into 1
5.498 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.498 * [taylor]: Taking taylor expansion of im in re
5.498 * [backup-simplify]: Simplify im into im
5.498 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.498 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.498 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.499 * [backup-simplify]: Simplify (+ 0 0) into 0
5.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.499 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.499 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.499 * [taylor]: Taking taylor expansion of re in re
5.499 * [backup-simplify]: Simplify 0 into 0
5.499 * [backup-simplify]: Simplify 1 into 1
5.499 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.499 * [taylor]: Taking taylor expansion of im in re
5.499 * [backup-simplify]: Simplify im into im
5.499 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.499 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.499 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.500 * [backup-simplify]: Simplify (+ 0 0) into 0
5.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.500 * [taylor]: Taking taylor expansion of im in im
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 1 into 1
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [taylor]: Taking taylor expansion of 0 in im
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 1 into 1
5.501 * [backup-simplify]: Simplify (* 1 1) into 1
5.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.502 * [backup-simplify]: Simplify (+ 1 0) into 1
5.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.502 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.502 * [taylor]: Taking taylor expansion of 1/2 in im
5.503 * [backup-simplify]: Simplify 1/2 into 1/2
5.503 * [taylor]: Taking taylor expansion of im in im
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify 1 into 1
5.503 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.506 * [backup-simplify]: Simplify (+ 0 0) into 0
5.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.506 * [taylor]: Taking taylor expansion of 0 in im
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.508 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.508 * [taylor]: Taking taylor expansion of im in im
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 1 into 1
5.508 * [backup-simplify]: Simplify (* 1 1) into 1
5.509 * [backup-simplify]: Simplify (/ 1 1) into 1
5.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.509 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.509 * [taylor]: Taking taylor expansion of re in im
5.509 * [backup-simplify]: Simplify re into re
5.509 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.509 * [backup-simplify]: Simplify (+ 1 0) into 1
5.510 * [backup-simplify]: Simplify (sqrt 1) into 1
5.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.511 * [backup-simplify]: Simplify (+ 0 0) into 0
5.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.511 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.511 * [taylor]: Taking taylor expansion of im in re
5.511 * [backup-simplify]: Simplify im into im
5.511 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.511 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.511 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.512 * [taylor]: Taking taylor expansion of re in re
5.512 * [backup-simplify]: Simplify 0 into 0
5.512 * [backup-simplify]: Simplify 1 into 1
5.512 * [backup-simplify]: Simplify (* 1 1) into 1
5.512 * [backup-simplify]: Simplify (/ 1 1) into 1
5.512 * [backup-simplify]: Simplify (+ 0 1) into 1
5.512 * [backup-simplify]: Simplify (sqrt 1) into 1
5.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.513 * [backup-simplify]: Simplify (+ 0 0) into 0
5.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.514 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.514 * [taylor]: Taking taylor expansion of im in re
5.514 * [backup-simplify]: Simplify im into im
5.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.514 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.514 * [taylor]: Taking taylor expansion of re in re
5.514 * [backup-simplify]: Simplify 0 into 0
5.514 * [backup-simplify]: Simplify 1 into 1
5.515 * [backup-simplify]: Simplify (* 1 1) into 1
5.515 * [backup-simplify]: Simplify (/ 1 1) into 1
5.515 * [backup-simplify]: Simplify (+ 0 1) into 1
5.515 * [backup-simplify]: Simplify (sqrt 1) into 1
5.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.516 * [backup-simplify]: Simplify (+ 0 0) into 0
5.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.517 * [taylor]: Taking taylor expansion of 1 in im
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [taylor]: Taking taylor expansion of 0 in im
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.519 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.519 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.519 * [taylor]: Taking taylor expansion of 1/2 in im
5.519 * [backup-simplify]: Simplify 1/2 into 1/2
5.519 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.519 * [taylor]: Taking taylor expansion of im in im
5.519 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify 1 into 1
5.519 * [backup-simplify]: Simplify (* 1 1) into 1
5.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.520 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.522 * [backup-simplify]: Simplify (+ 0 0) into 0
5.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.522 * [taylor]: Taking taylor expansion of 0 in im
5.522 * [backup-simplify]: Simplify 0 into 0
5.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.523 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.524 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.524 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.524 * [taylor]: Taking taylor expansion of im in im
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 1 into 1
5.524 * [backup-simplify]: Simplify (* 1 1) into 1
5.524 * [backup-simplify]: Simplify (/ 1 1) into 1
5.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.525 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.525 * [taylor]: Taking taylor expansion of re in im
5.525 * [backup-simplify]: Simplify re into re
5.525 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.525 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.525 * [backup-simplify]: Simplify (+ 1 0) into 1
5.525 * [backup-simplify]: Simplify (sqrt 1) into 1
5.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.526 * [backup-simplify]: Simplify (+ 0 0) into 0
5.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.527 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.527 * [taylor]: Taking taylor expansion of im in re
5.527 * [backup-simplify]: Simplify im into im
5.527 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.527 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.527 * [taylor]: Taking taylor expansion of re in re
5.527 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify 1 into 1
5.528 * [backup-simplify]: Simplify (* 1 1) into 1
5.528 * [backup-simplify]: Simplify (/ 1 1) into 1
5.528 * [backup-simplify]: Simplify (+ 0 1) into 1
5.528 * [backup-simplify]: Simplify (sqrt 1) into 1
5.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.529 * [backup-simplify]: Simplify (+ 0 0) into 0
5.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.530 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.530 * [taylor]: Taking taylor expansion of im in re
5.530 * [backup-simplify]: Simplify im into im
5.530 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.530 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.530 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.530 * [taylor]: Taking taylor expansion of re in re
5.530 * [backup-simplify]: Simplify 0 into 0
5.530 * [backup-simplify]: Simplify 1 into 1
5.530 * [backup-simplify]: Simplify (* 1 1) into 1
5.531 * [backup-simplify]: Simplify (/ 1 1) into 1
5.531 * [backup-simplify]: Simplify (+ 0 1) into 1
5.531 * [backup-simplify]: Simplify (sqrt 1) into 1
5.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (+ 0 0) into 0
5.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.533 * [taylor]: Taking taylor expansion of 1 in im
5.533 * [backup-simplify]: Simplify 1 into 1
5.533 * [taylor]: Taking taylor expansion of 0 in im
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 1 into 1
5.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.534 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.535 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.535 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.535 * [taylor]: Taking taylor expansion of 1/2 in im
5.535 * [backup-simplify]: Simplify 1/2 into 1/2
5.535 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.535 * [taylor]: Taking taylor expansion of im in im
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 1 into 1
5.535 * [backup-simplify]: Simplify (* 1 1) into 1
5.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.539 * [backup-simplify]: Simplify (+ 0 0) into 0
5.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.540 * [taylor]: Taking taylor expansion of 0 in im
5.540 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
5.543 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.543 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.543 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.543 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.543 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.543 * [taylor]: Taking taylor expansion of re in im
5.543 * [backup-simplify]: Simplify re into re
5.543 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.543 * [taylor]: Taking taylor expansion of im in im
5.543 * [backup-simplify]: Simplify 0 into 0
5.543 * [backup-simplify]: Simplify 1 into 1
5.543 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.543 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.543 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.543 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.544 * [backup-simplify]: Simplify (+ 0 0) into 0
5.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.544 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.544 * [taylor]: Taking taylor expansion of re in re
5.544 * [backup-simplify]: Simplify 0 into 0
5.544 * [backup-simplify]: Simplify 1 into 1
5.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.544 * [taylor]: Taking taylor expansion of im in re
5.544 * [backup-simplify]: Simplify im into im
5.544 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.544 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.544 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.545 * [backup-simplify]: Simplify (+ 0 0) into 0
5.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.545 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.545 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.545 * [taylor]: Taking taylor expansion of re in re
5.545 * [backup-simplify]: Simplify 0 into 0
5.545 * [backup-simplify]: Simplify 1 into 1
5.545 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.545 * [taylor]: Taking taylor expansion of im in re
5.545 * [backup-simplify]: Simplify im into im
5.545 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.545 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.546 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.546 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.546 * [backup-simplify]: Simplify (+ 0 0) into 0
5.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.546 * [taylor]: Taking taylor expansion of im in im
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 1 into 1
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [taylor]: Taking taylor expansion of 0 in im
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 1 into 1
5.546 * [backup-simplify]: Simplify (* 1 1) into 1
5.547 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.547 * [backup-simplify]: Simplify (+ 1 0) into 1
5.547 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.547 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.547 * [taylor]: Taking taylor expansion of 1/2 in im
5.547 * [backup-simplify]: Simplify 1/2 into 1/2
5.547 * [taylor]: Taking taylor expansion of im in im
5.548 * [backup-simplify]: Simplify 0 into 0
5.548 * [backup-simplify]: Simplify 1 into 1
5.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.548 * [backup-simplify]: Simplify 0 into 0
5.548 * [backup-simplify]: Simplify 0 into 0
5.548 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.549 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.549 * [backup-simplify]: Simplify (+ 0 0) into 0
5.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.550 * [taylor]: Taking taylor expansion of 0 in im
5.550 * [backup-simplify]: Simplify 0 into 0
5.550 * [backup-simplify]: Simplify 0 into 0
5.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify 0 into 0
5.550 * [backup-simplify]: Simplify 0 into 0
5.550 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.550 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.550 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.551 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.551 * [taylor]: Taking taylor expansion of im in im
5.551 * [backup-simplify]: Simplify 0 into 0
5.551 * [backup-simplify]: Simplify 1 into 1
5.551 * [backup-simplify]: Simplify (* 1 1) into 1
5.551 * [backup-simplify]: Simplify (/ 1 1) into 1
5.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.551 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.551 * [taylor]: Taking taylor expansion of re in im
5.551 * [backup-simplify]: Simplify re into re
5.551 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.551 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.552 * [backup-simplify]: Simplify (+ 1 0) into 1
5.552 * [backup-simplify]: Simplify (sqrt 1) into 1
5.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.553 * [backup-simplify]: Simplify (+ 0 0) into 0
5.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.553 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.553 * [taylor]: Taking taylor expansion of im in re
5.553 * [backup-simplify]: Simplify im into im
5.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.554 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.554 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.554 * [taylor]: Taking taylor expansion of re in re
5.554 * [backup-simplify]: Simplify 0 into 0
5.554 * [backup-simplify]: Simplify 1 into 1
5.554 * [backup-simplify]: Simplify (* 1 1) into 1
5.554 * [backup-simplify]: Simplify (/ 1 1) into 1
5.554 * [backup-simplify]: Simplify (+ 0 1) into 1
5.555 * [backup-simplify]: Simplify (sqrt 1) into 1
5.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.556 * [backup-simplify]: Simplify (+ 0 0) into 0
5.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.556 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.556 * [taylor]: Taking taylor expansion of im in re
5.556 * [backup-simplify]: Simplify im into im
5.556 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.556 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.556 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.556 * [taylor]: Taking taylor expansion of re in re
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify 1 into 1
5.557 * [backup-simplify]: Simplify (* 1 1) into 1
5.557 * [backup-simplify]: Simplify (/ 1 1) into 1
5.557 * [backup-simplify]: Simplify (+ 0 1) into 1
5.557 * [backup-simplify]: Simplify (sqrt 1) into 1
5.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.558 * [backup-simplify]: Simplify (+ 0 0) into 0
5.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.559 * [taylor]: Taking taylor expansion of 1 in im
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [taylor]: Taking taylor expansion of 0 in im
5.559 * [backup-simplify]: Simplify 0 into 0
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.560 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.561 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.561 * [taylor]: Taking taylor expansion of 1/2 in im
5.561 * [backup-simplify]: Simplify 1/2 into 1/2
5.561 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.561 * [taylor]: Taking taylor expansion of im in im
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify 1 into 1
5.561 * [backup-simplify]: Simplify (* 1 1) into 1
5.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.562 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.564 * [backup-simplify]: Simplify (+ 0 0) into 0
5.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.564 * [taylor]: Taking taylor expansion of 0 in im
5.564 * [backup-simplify]: Simplify 0 into 0
5.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.565 * [backup-simplify]: Simplify 0 into 0
5.565 * [backup-simplify]: Simplify 0 into 0
5.565 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.566 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.566 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.566 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.566 * [taylor]: Taking taylor expansion of im in im
5.566 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify 1 into 1
5.566 * [backup-simplify]: Simplify (* 1 1) into 1
5.566 * [backup-simplify]: Simplify (/ 1 1) into 1
5.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.566 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.566 * [taylor]: Taking taylor expansion of re in im
5.566 * [backup-simplify]: Simplify re into re
5.566 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.567 * [backup-simplify]: Simplify (+ 1 0) into 1
5.567 * [backup-simplify]: Simplify (sqrt 1) into 1
5.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (+ 0 0) into 0
5.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.569 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.569 * [taylor]: Taking taylor expansion of im in re
5.569 * [backup-simplify]: Simplify im into im
5.569 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.569 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.569 * [taylor]: Taking taylor expansion of re in re
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify 1 into 1
5.569 * [backup-simplify]: Simplify (* 1 1) into 1
5.569 * [backup-simplify]: Simplify (/ 1 1) into 1
5.570 * [backup-simplify]: Simplify (+ 0 1) into 1
5.574 * [backup-simplify]: Simplify (sqrt 1) into 1
5.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.576 * [backup-simplify]: Simplify (+ 0 0) into 0
5.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.577 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.577 * [taylor]: Taking taylor expansion of im in re
5.577 * [backup-simplify]: Simplify im into im
5.577 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.577 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.577 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.577 * [taylor]: Taking taylor expansion of re in re
5.577 * [backup-simplify]: Simplify 0 into 0
5.577 * [backup-simplify]: Simplify 1 into 1
5.577 * [backup-simplify]: Simplify (* 1 1) into 1
5.577 * [backup-simplify]: Simplify (/ 1 1) into 1
5.578 * [backup-simplify]: Simplify (+ 0 1) into 1
5.578 * [backup-simplify]: Simplify (sqrt 1) into 1
5.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.579 * [backup-simplify]: Simplify (+ 0 0) into 0
5.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.579 * [taylor]: Taking taylor expansion of 1 in im
5.579 * [backup-simplify]: Simplify 1 into 1
5.579 * [taylor]: Taking taylor expansion of 0 in im
5.579 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify 1 into 1
5.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.581 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.581 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.582 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.582 * [taylor]: Taking taylor expansion of 1/2 in im
5.582 * [backup-simplify]: Simplify 1/2 into 1/2
5.582 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.582 * [taylor]: Taking taylor expansion of im in im
5.582 * [backup-simplify]: Simplify 0 into 0
5.582 * [backup-simplify]: Simplify 1 into 1
5.582 * [backup-simplify]: Simplify (* 1 1) into 1
5.582 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.587 * [backup-simplify]: Simplify (+ 0 0) into 0
5.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.587 * [taylor]: Taking taylor expansion of 0 in im
5.587 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.590 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
5.590 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
5.590 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
5.590 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.590 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.590 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.590 * [taylor]: Taking taylor expansion of re in im
5.590 * [backup-simplify]: Simplify re into re
5.590 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.590 * [taylor]: Taking taylor expansion of im in im
5.590 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify 1 into 1
5.590 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.590 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.591 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.591 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.591 * [backup-simplify]: Simplify (+ 0 0) into 0
5.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.591 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.591 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.591 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.591 * [taylor]: Taking taylor expansion of re in re
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.592 * [taylor]: Taking taylor expansion of im in re
5.592 * [backup-simplify]: Simplify im into im
5.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.592 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.592 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.592 * [backup-simplify]: Simplify (+ 0 0) into 0
5.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.593 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.593 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.593 * [taylor]: Taking taylor expansion of re in re
5.593 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify 1 into 1
5.593 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.593 * [taylor]: Taking taylor expansion of im in re
5.593 * [backup-simplify]: Simplify im into im
5.593 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.593 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.593 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.594 * [backup-simplify]: Simplify (+ 0 0) into 0
5.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.594 * [taylor]: Taking taylor expansion of im in im
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify 1 into 1
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [taylor]: Taking taylor expansion of 0 in im
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify 1 into 1
5.595 * [backup-simplify]: Simplify (* 1 1) into 1
5.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.595 * [backup-simplify]: Simplify (+ 1 0) into 1
5.596 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.596 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.596 * [taylor]: Taking taylor expansion of 1/2 in im
5.596 * [backup-simplify]: Simplify 1/2 into 1/2
5.596 * [taylor]: Taking taylor expansion of im in im
5.596 * [backup-simplify]: Simplify 0 into 0
5.596 * [backup-simplify]: Simplify 1 into 1
5.597 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.599 * [backup-simplify]: Simplify (+ 0 0) into 0
5.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.599 * [taylor]: Taking taylor expansion of 0 in im
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.600 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.600 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.600 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.600 * [taylor]: Taking taylor expansion of im in im
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [backup-simplify]: Simplify 1 into 1
5.600 * [backup-simplify]: Simplify (* 1 1) into 1
5.600 * [backup-simplify]: Simplify (/ 1 1) into 1
5.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.600 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.600 * [taylor]: Taking taylor expansion of re in im
5.600 * [backup-simplify]: Simplify re into re
5.600 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.601 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.601 * [backup-simplify]: Simplify (+ 1 0) into 1
5.601 * [backup-simplify]: Simplify (sqrt 1) into 1
5.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.602 * [backup-simplify]: Simplify (+ 0 0) into 0
5.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.603 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.603 * [taylor]: Taking taylor expansion of im in re
5.603 * [backup-simplify]: Simplify im into im
5.603 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.603 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.603 * [taylor]: Taking taylor expansion of re in re
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 1 into 1
5.603 * [backup-simplify]: Simplify (* 1 1) into 1
5.603 * [backup-simplify]: Simplify (/ 1 1) into 1
5.604 * [backup-simplify]: Simplify (+ 0 1) into 1
5.604 * [backup-simplify]: Simplify (sqrt 1) into 1
5.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.605 * [backup-simplify]: Simplify (+ 0 0) into 0
5.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.605 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.605 * [taylor]: Taking taylor expansion of im in re
5.605 * [backup-simplify]: Simplify im into im
5.605 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.605 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.605 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.605 * [taylor]: Taking taylor expansion of re in re
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 1 into 1
5.606 * [backup-simplify]: Simplify (* 1 1) into 1
5.606 * [backup-simplify]: Simplify (/ 1 1) into 1
5.606 * [backup-simplify]: Simplify (+ 0 1) into 1
5.606 * [backup-simplify]: Simplify (sqrt 1) into 1
5.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.607 * [backup-simplify]: Simplify (+ 0 0) into 0
5.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.608 * [taylor]: Taking taylor expansion of 1 in im
5.608 * [backup-simplify]: Simplify 1 into 1
5.608 * [taylor]: Taking taylor expansion of 0 in im
5.608 * [backup-simplify]: Simplify 0 into 0
5.608 * [backup-simplify]: Simplify 1 into 1
5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.609 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.610 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.610 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.610 * [taylor]: Taking taylor expansion of 1/2 in im
5.610 * [backup-simplify]: Simplify 1/2 into 1/2
5.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.610 * [taylor]: Taking taylor expansion of im in im
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify 1 into 1
5.610 * [backup-simplify]: Simplify (* 1 1) into 1
5.611 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.611 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.613 * [backup-simplify]: Simplify (+ 0 0) into 0
5.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.614 * [taylor]: Taking taylor expansion of 0 in im
5.614 * [backup-simplify]: Simplify 0 into 0
5.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.615 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.615 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.615 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.615 * [taylor]: Taking taylor expansion of im in im
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 1 into 1
5.616 * [backup-simplify]: Simplify (* 1 1) into 1
5.616 * [backup-simplify]: Simplify (/ 1 1) into 1
5.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.616 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.616 * [taylor]: Taking taylor expansion of re in im
5.616 * [backup-simplify]: Simplify re into re
5.616 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.616 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.616 * [backup-simplify]: Simplify (+ 1 0) into 1
5.617 * [backup-simplify]: Simplify (sqrt 1) into 1
5.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.618 * [backup-simplify]: Simplify (+ 0 0) into 0
5.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.619 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.619 * [taylor]: Taking taylor expansion of im in re
5.619 * [backup-simplify]: Simplify im into im
5.619 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.619 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.619 * [taylor]: Taking taylor expansion of re in re
5.619 * [backup-simplify]: Simplify 0 into 0
5.619 * [backup-simplify]: Simplify 1 into 1
5.620 * [backup-simplify]: Simplify (* 1 1) into 1
5.620 * [backup-simplify]: Simplify (/ 1 1) into 1
5.620 * [backup-simplify]: Simplify (+ 0 1) into 1
5.621 * [backup-simplify]: Simplify (sqrt 1) into 1
5.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.623 * [backup-simplify]: Simplify (+ 0 0) into 0
5.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.624 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.624 * [taylor]: Taking taylor expansion of im in re
5.624 * [backup-simplify]: Simplify im into im
5.624 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.624 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.624 * [taylor]: Taking taylor expansion of re in re
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.625 * [backup-simplify]: Simplify (* 1 1) into 1
5.625 * [backup-simplify]: Simplify (/ 1 1) into 1
5.625 * [backup-simplify]: Simplify (+ 0 1) into 1
5.626 * [backup-simplify]: Simplify (sqrt 1) into 1
5.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.628 * [backup-simplify]: Simplify (+ 0 0) into 0
5.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.629 * [taylor]: Taking taylor expansion of 1 in im
5.629 * [backup-simplify]: Simplify 1 into 1
5.629 * [taylor]: Taking taylor expansion of 0 in im
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 1 into 1
5.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.631 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.632 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.632 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.632 * [taylor]: Taking taylor expansion of 1/2 in im
5.633 * [backup-simplify]: Simplify 1/2 into 1/2
5.633 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.633 * [taylor]: Taking taylor expansion of im in im
5.633 * [backup-simplify]: Simplify 0 into 0
5.633 * [backup-simplify]: Simplify 1 into 1
5.633 * [backup-simplify]: Simplify (* 1 1) into 1
5.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.638 * [backup-simplify]: Simplify (+ 0 0) into 0
5.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.639 * [taylor]: Taking taylor expansion of 0 in im
5.639 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.641 * * * [progress]: simplifying candidates
5.643 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
5.645 * * [simplify]: Extracting # 0 : cost  0
5.645 * * [simplify]: Extracting # 1 : cost  0
5.645 * * [simplify]: Extracting # 2 : cost  0
5.645 * * [simplify]: Extracting # 3 : cost  0
5.645 * * [simplify]: Extracting # 4 : cost  0
5.645 * * [simplify]: Extracting # 5 : cost  0
5.645 * * [simplify]: Extracting # 6 : cost  0
5.646 * * [simplify]: iteration  0 :  38  enodes  (cost  852 )
5.663 * * [simplify]: Extracting # 0 : cost  0
5.664 * * [simplify]: Extracting # 1 : cost  0
5.664 * * [simplify]: Extracting # 2 : cost  0
5.664 * * [simplify]: Extracting # 3 : cost  0
5.664 * * [simplify]: Extracting # 4 : cost  0
5.664 * * [simplify]: iteration  1 :  91  enodes  (cost  744 )
5.690 * * [simplify]: Extracting # 0 : cost  0
5.690 * * [simplify]: Extracting # 1 : cost  0
5.691 * * [simplify]: Extracting # 2 : cost  0
5.691 * * [simplify]: Extracting # 3 : cost  0
5.691 * * [simplify]: Extracting # 4 : cost  0
5.691 * * [simplify]: iteration  2 :  205  enodes  (cost  680 )
5.758 * * [simplify]: Extracting # 0 : cost  0
5.759 * * [simplify]: Extracting # 1 : cost  0
5.760 * * [simplify]: Extracting # 2 : cost  0
5.760 * * [simplify]: Extracting # 3 : cost  0
5.761 * * [simplify]: Extracting # 4 : cost  0
5.762 * * [simplify]: iteration  3 :  444  enodes  (cost  656 )
6.010 * * [simplify]: Extracting # 0 : cost  0
6.012 * * [simplify]: Extracting # 1 : cost  0
6.014 * * [simplify]: Extracting # 2 : cost  0
6.016 * * [simplify]: Extracting # 3 : cost  0
6.018 * * [simplify]: iteration  4 :  1114  enodes  (cost  656 )
7.102 * * [simplify]: Extracting # 0 : cost  0
7.106 * * [simplify]: Extracting # 1 : cost  0
7.114 * * [simplify]: Extracting # 2 : cost  0
7.119 * * [simplify]: Extracting # 3 : cost  0
7.125 * * [simplify]: Extracting # 4 : cost  0
7.130 * * [simplify]: iteration  5 :  3182  enodes  (cost  656 )
8.589 * * [simplify]: Extracting # 0 : cost  0
8.597 * * [simplify]: Extracting # 1 : cost  0
8.605 * * [simplify]: Extracting # 2 : cost  0
8.611 * * [simplify]: Extracting # 3 : cost  0
8.616 * * [simplify]: Extracting # 4 : cost  0
8.620 * * [simplify]: iteration done:  5001  enodes  (cost  656 )
8.621 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
8.621 * * * [progress]: adding candidates to table
9.005 * * [progress]: iteration 4 / 4
9.005 * * * [progress]: picking best candidate
9.013 * * * * [pick]: Picked  #<alt (λ (re im) (exp (log (sqrt (+ (* re re) (* im im))))))>
9.013 * * * [progress]: localizing error
9.032 * * * [progress]: generating rewritten candidates
9.032 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
9.047 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
9.073 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1)
9.089 * * * [progress]: generating series expansions
9.089 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
9.090 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.090 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.090 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.090 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.090 * [taylor]: Taking taylor expansion of re in im
9.090 * [backup-simplify]: Simplify re into re
9.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.090 * [taylor]: Taking taylor expansion of im in im
9.090 * [backup-simplify]: Simplify 0 into 0
9.090 * [backup-simplify]: Simplify 1 into 1
9.090 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.090 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.090 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.091 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.091 * [backup-simplify]: Simplify (+ 0 0) into 0
9.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.091 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.092 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.092 * [taylor]: Taking taylor expansion of re in re
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify 1 into 1
9.092 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.092 * [taylor]: Taking taylor expansion of im in re
9.092 * [backup-simplify]: Simplify im into im
9.092 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.092 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.092 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.092 * [backup-simplify]: Simplify (+ 0 0) into 0
9.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.093 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.093 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.093 * [taylor]: Taking taylor expansion of re in re
9.093 * [backup-simplify]: Simplify 0 into 0
9.093 * [backup-simplify]: Simplify 1 into 1
9.093 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.093 * [taylor]: Taking taylor expansion of im in re
9.093 * [backup-simplify]: Simplify im into im
9.093 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.093 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.093 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.093 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.094 * [backup-simplify]: Simplify (+ 0 0) into 0
9.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.094 * [taylor]: Taking taylor expansion of im in im
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify 1 into 1
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [taylor]: Taking taylor expansion of 0 in im
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify 1 into 1
9.095 * [backup-simplify]: Simplify (* 1 1) into 1
9.095 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.095 * [backup-simplify]: Simplify (+ 1 0) into 1
9.096 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.096 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.096 * [taylor]: Taking taylor expansion of 1/2 in im
9.096 * [backup-simplify]: Simplify 1/2 into 1/2
9.096 * [taylor]: Taking taylor expansion of im in im
9.096 * [backup-simplify]: Simplify 0 into 0
9.096 * [backup-simplify]: Simplify 1 into 1
9.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.098 * [backup-simplify]: Simplify 0 into 0
9.098 * [backup-simplify]: Simplify 0 into 0
9.098 * [backup-simplify]: Simplify 0 into 0
9.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.099 * [backup-simplify]: Simplify (+ 0 0) into 0
9.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.100 * [taylor]: Taking taylor expansion of 0 in im
9.100 * [backup-simplify]: Simplify 0 into 0
9.100 * [backup-simplify]: Simplify 0 into 0
9.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.101 * [backup-simplify]: Simplify 0 into 0
9.101 * [backup-simplify]: Simplify 0 into 0
9.101 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.101 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.101 * [taylor]: Taking taylor expansion of im in im
9.101 * [backup-simplify]: Simplify 0 into 0
9.101 * [backup-simplify]: Simplify 1 into 1
9.102 * [backup-simplify]: Simplify (* 1 1) into 1
9.102 * [backup-simplify]: Simplify (/ 1 1) into 1
9.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.102 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.102 * [taylor]: Taking taylor expansion of re in im
9.102 * [backup-simplify]: Simplify re into re
9.102 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.103 * [backup-simplify]: Simplify (+ 1 0) into 1
9.103 * [backup-simplify]: Simplify (sqrt 1) into 1
9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.105 * [backup-simplify]: Simplify (+ 0 0) into 0
9.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.106 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.106 * [taylor]: Taking taylor expansion of im in re
9.106 * [backup-simplify]: Simplify im into im
9.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.107 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.107 * [taylor]: Taking taylor expansion of re in re
9.107 * [backup-simplify]: Simplify 0 into 0
9.107 * [backup-simplify]: Simplify 1 into 1
9.108 * [backup-simplify]: Simplify (* 1 1) into 1
9.108 * [backup-simplify]: Simplify (/ 1 1) into 1
9.109 * [backup-simplify]: Simplify (+ 0 1) into 1
9.109 * [backup-simplify]: Simplify (sqrt 1) into 1
9.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.111 * [backup-simplify]: Simplify (+ 0 0) into 0
9.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.112 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.112 * [taylor]: Taking taylor expansion of im in re
9.112 * [backup-simplify]: Simplify im into im
9.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.112 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.112 * [taylor]: Taking taylor expansion of re in re
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify 1 into 1
9.113 * [backup-simplify]: Simplify (* 1 1) into 1
9.113 * [backup-simplify]: Simplify (/ 1 1) into 1
9.113 * [backup-simplify]: Simplify (+ 0 1) into 1
9.114 * [backup-simplify]: Simplify (sqrt 1) into 1
9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.116 * [backup-simplify]: Simplify (+ 0 0) into 0
9.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.117 * [taylor]: Taking taylor expansion of 1 in im
9.117 * [backup-simplify]: Simplify 1 into 1
9.117 * [taylor]: Taking taylor expansion of 0 in im
9.117 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify 1 into 1
9.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.119 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.121 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.121 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.121 * [taylor]: Taking taylor expansion of 1/2 in im
9.121 * [backup-simplify]: Simplify 1/2 into 1/2
9.121 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.121 * [taylor]: Taking taylor expansion of im in im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify (* 1 1) into 1
9.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 0 into 0
9.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.126 * [backup-simplify]: Simplify (+ 0 0) into 0
9.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.127 * [taylor]: Taking taylor expansion of 0 in im
9.127 * [backup-simplify]: Simplify 0 into 0
9.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.130 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.130 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.130 * [taylor]: Taking taylor expansion of im in im
9.130 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify 1 into 1
9.130 * [backup-simplify]: Simplify (* 1 1) into 1
9.131 * [backup-simplify]: Simplify (/ 1 1) into 1
9.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.131 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.131 * [taylor]: Taking taylor expansion of re in im
9.131 * [backup-simplify]: Simplify re into re
9.131 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.131 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.132 * [backup-simplify]: Simplify (+ 1 0) into 1
9.132 * [backup-simplify]: Simplify (sqrt 1) into 1
9.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (+ 0 0) into 0
9.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.135 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.135 * [taylor]: Taking taylor expansion of im in re
9.135 * [backup-simplify]: Simplify im into im
9.135 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.135 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.135 * [taylor]: Taking taylor expansion of re in re
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify 1 into 1
9.136 * [backup-simplify]: Simplify (* 1 1) into 1
9.136 * [backup-simplify]: Simplify (/ 1 1) into 1
9.137 * [backup-simplify]: Simplify (+ 0 1) into 1
9.137 * [backup-simplify]: Simplify (sqrt 1) into 1
9.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.139 * [backup-simplify]: Simplify (+ 0 0) into 0
9.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.140 * [taylor]: Taking taylor expansion of im in re
9.140 * [backup-simplify]: Simplify im into im
9.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.140 * [taylor]: Taking taylor expansion of re in re
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 1 into 1
9.140 * [backup-simplify]: Simplify (* 1 1) into 1
9.141 * [backup-simplify]: Simplify (/ 1 1) into 1
9.141 * [backup-simplify]: Simplify (+ 0 1) into 1
9.142 * [backup-simplify]: Simplify (sqrt 1) into 1
9.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.143 * [backup-simplify]: Simplify (+ 0 0) into 0
9.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.144 * [taylor]: Taking taylor expansion of 1 in im
9.144 * [backup-simplify]: Simplify 1 into 1
9.144 * [taylor]: Taking taylor expansion of 0 in im
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [backup-simplify]: Simplify 1 into 1
9.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.147 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.148 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.149 * [taylor]: Taking taylor expansion of 1/2 in im
9.149 * [backup-simplify]: Simplify 1/2 into 1/2
9.149 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.149 * [taylor]: Taking taylor expansion of im in im
9.149 * [backup-simplify]: Simplify 0 into 0
9.149 * [backup-simplify]: Simplify 1 into 1
9.149 * [backup-simplify]: Simplify (* 1 1) into 1
9.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.151 * [backup-simplify]: Simplify 0 into 0
9.151 * [backup-simplify]: Simplify 0 into 0
9.151 * [backup-simplify]: Simplify 0 into 0
9.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.155 * [backup-simplify]: Simplify (+ 0 0) into 0
9.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.155 * [taylor]: Taking taylor expansion of 0 in im
9.155 * [backup-simplify]: Simplify 0 into 0
9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.157 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.157 * * * * [progress]: [ 2 / 3 ] generating series at (2)
9.158 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
9.158 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.158 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.158 * [taylor]: Taking taylor expansion of re in im
9.158 * [backup-simplify]: Simplify re into re
9.158 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.158 * [taylor]: Taking taylor expansion of im in im
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [backup-simplify]: Simplify 1 into 1
9.158 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.158 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.158 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.158 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.159 * [backup-simplify]: Simplify (+ 0 0) into 0
9.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.159 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.159 * [taylor]: Taking taylor expansion of re in re
9.159 * [backup-simplify]: Simplify 0 into 0
9.159 * [backup-simplify]: Simplify 1 into 1
9.159 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.159 * [taylor]: Taking taylor expansion of im in re
9.159 * [backup-simplify]: Simplify im into im
9.159 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.159 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.159 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.160 * [backup-simplify]: Simplify (+ 0 0) into 0
9.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.160 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.160 * [taylor]: Taking taylor expansion of re in re
9.160 * [backup-simplify]: Simplify 0 into 0
9.160 * [backup-simplify]: Simplify 1 into 1
9.160 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.160 * [taylor]: Taking taylor expansion of im in re
9.160 * [backup-simplify]: Simplify im into im
9.160 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.160 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.161 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.161 * [backup-simplify]: Simplify (+ 0 0) into 0
9.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.161 * [taylor]: Taking taylor expansion of im in im
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 1 into 1
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [taylor]: Taking taylor expansion of 0 in im
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify 1 into 1
9.162 * [backup-simplify]: Simplify (* 1 1) into 1
9.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.163 * [backup-simplify]: Simplify (+ 1 0) into 1
9.163 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.163 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.163 * [taylor]: Taking taylor expansion of 1/2 in im
9.163 * [backup-simplify]: Simplify 1/2 into 1/2
9.163 * [taylor]: Taking taylor expansion of im in im
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify 1 into 1
9.164 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.166 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.166 * [backup-simplify]: Simplify (+ 0 0) into 0
9.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.167 * [taylor]: Taking taylor expansion of 0 in im
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.168 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.169 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.169 * [taylor]: Taking taylor expansion of im in im
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify 1 into 1
9.169 * [backup-simplify]: Simplify (* 1 1) into 1
9.169 * [backup-simplify]: Simplify (/ 1 1) into 1
9.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.169 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.169 * [taylor]: Taking taylor expansion of re in im
9.169 * [backup-simplify]: Simplify re into re
9.170 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.170 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.170 * [backup-simplify]: Simplify (+ 1 0) into 1
9.170 * [backup-simplify]: Simplify (sqrt 1) into 1
9.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.172 * [backup-simplify]: Simplify (+ 0 0) into 0
9.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.173 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.173 * [taylor]: Taking taylor expansion of im in re
9.173 * [backup-simplify]: Simplify im into im
9.173 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.173 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.173 * [taylor]: Taking taylor expansion of re in re
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 1 into 1
9.174 * [backup-simplify]: Simplify (* 1 1) into 1
9.174 * [backup-simplify]: Simplify (/ 1 1) into 1
9.174 * [backup-simplify]: Simplify (+ 0 1) into 1
9.175 * [backup-simplify]: Simplify (sqrt 1) into 1
9.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.176 * [backup-simplify]: Simplify (+ 0 0) into 0
9.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.177 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.177 * [taylor]: Taking taylor expansion of im in re
9.177 * [backup-simplify]: Simplify im into im
9.177 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.177 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.177 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.177 * [taylor]: Taking taylor expansion of re in re
9.177 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify 1 into 1
9.178 * [backup-simplify]: Simplify (* 1 1) into 1
9.178 * [backup-simplify]: Simplify (/ 1 1) into 1
9.178 * [backup-simplify]: Simplify (+ 0 1) into 1
9.179 * [backup-simplify]: Simplify (sqrt 1) into 1
9.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.180 * [backup-simplify]: Simplify (+ 0 0) into 0
9.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.181 * [taylor]: Taking taylor expansion of 1 in im
9.181 * [backup-simplify]: Simplify 1 into 1
9.181 * [taylor]: Taking taylor expansion of 0 in im
9.181 * [backup-simplify]: Simplify 0 into 0
9.181 * [backup-simplify]: Simplify 1 into 1
9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.183 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.184 * [taylor]: Taking taylor expansion of 1/2 in im
9.184 * [backup-simplify]: Simplify 1/2 into 1/2
9.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.184 * [taylor]: Taking taylor expansion of im in im
9.184 * [backup-simplify]: Simplify 0 into 0
9.184 * [backup-simplify]: Simplify 1 into 1
9.185 * [backup-simplify]: Simplify (* 1 1) into 1
9.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.187 * [backup-simplify]: Simplify 0 into 0
9.187 * [backup-simplify]: Simplify 0 into 0
9.187 * [backup-simplify]: Simplify 0 into 0
9.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.189 * [backup-simplify]: Simplify (+ 0 0) into 0
9.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.190 * [taylor]: Taking taylor expansion of 0 in im
9.190 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.192 * [backup-simplify]: Simplify 0 into 0
9.192 * [backup-simplify]: Simplify 0 into 0
9.192 * [backup-simplify]: Simplify 0 into 0
9.192 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.193 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.193 * [taylor]: Taking taylor expansion of im in im
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 1 into 1
9.193 * [backup-simplify]: Simplify (* 1 1) into 1
9.194 * [backup-simplify]: Simplify (/ 1 1) into 1
9.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.194 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.194 * [taylor]: Taking taylor expansion of re in im
9.194 * [backup-simplify]: Simplify re into re
9.194 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.194 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.194 * [backup-simplify]: Simplify (+ 1 0) into 1
9.195 * [backup-simplify]: Simplify (sqrt 1) into 1
9.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.196 * [backup-simplify]: Simplify (+ 0 0) into 0
9.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.197 * [taylor]: Taking taylor expansion of im in re
9.197 * [backup-simplify]: Simplify im into im
9.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.198 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.198 * [taylor]: Taking taylor expansion of re in re
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 1 into 1
9.198 * [backup-simplify]: Simplify (* 1 1) into 1
9.198 * [backup-simplify]: Simplify (/ 1 1) into 1
9.199 * [backup-simplify]: Simplify (+ 0 1) into 1
9.199 * [backup-simplify]: Simplify (sqrt 1) into 1
9.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.201 * [backup-simplify]: Simplify (+ 0 0) into 0
9.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.202 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.202 * [taylor]: Taking taylor expansion of im in re
9.202 * [backup-simplify]: Simplify im into im
9.202 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.202 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.202 * [taylor]: Taking taylor expansion of re in re
9.202 * [backup-simplify]: Simplify 0 into 0
9.202 * [backup-simplify]: Simplify 1 into 1
9.202 * [backup-simplify]: Simplify (* 1 1) into 1
9.203 * [backup-simplify]: Simplify (/ 1 1) into 1
9.203 * [backup-simplify]: Simplify (+ 0 1) into 1
9.203 * [backup-simplify]: Simplify (sqrt 1) into 1
9.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.205 * [backup-simplify]: Simplify (+ 0 0) into 0
9.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.206 * [taylor]: Taking taylor expansion of 1 in im
9.206 * [backup-simplify]: Simplify 1 into 1
9.206 * [taylor]: Taking taylor expansion of 0 in im
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 1 into 1
9.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.215 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.217 * [taylor]: Taking taylor expansion of 1/2 in im
9.217 * [backup-simplify]: Simplify 1/2 into 1/2
9.217 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.217 * [taylor]: Taking taylor expansion of im in im
9.217 * [backup-simplify]: Simplify 0 into 0
9.217 * [backup-simplify]: Simplify 1 into 1
9.217 * [backup-simplify]: Simplify (* 1 1) into 1
9.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.220 * [backup-simplify]: Simplify (+ 0 0) into 0
9.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.221 * [taylor]: Taking taylor expansion of 0 in im
9.221 * [backup-simplify]: Simplify 0 into 0
9.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.222 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1)
9.222 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
9.222 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
9.222 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.222 * [taylor]: Taking taylor expansion of re in im
9.222 * [backup-simplify]: Simplify re into re
9.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.222 * [taylor]: Taking taylor expansion of im in im
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 1 into 1
9.222 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.222 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.222 * [taylor]: Taking taylor expansion of re in re
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 1 into 1
9.222 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.222 * [taylor]: Taking taylor expansion of im in re
9.222 * [backup-simplify]: Simplify im into im
9.223 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.223 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.223 * [taylor]: Taking taylor expansion of re in re
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify 1 into 1
9.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.223 * [taylor]: Taking taylor expansion of im in re
9.223 * [backup-simplify]: Simplify im into im
9.223 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.223 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.223 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.223 * [taylor]: Taking taylor expansion of im in im
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify 1 into 1
9.223 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.223 * [backup-simplify]: Simplify (+ 0 0) into 0
9.223 * [taylor]: Taking taylor expansion of 0 in im
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify (* 1 1) into 1
9.224 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.224 * [backup-simplify]: Simplify (+ 1 0) into 1
9.224 * [taylor]: Taking taylor expansion of 1 in im
9.224 * [backup-simplify]: Simplify 1 into 1
9.224 * [backup-simplify]: Simplify 1 into 1
9.224 * [backup-simplify]: Simplify 0 into 0
9.224 * [backup-simplify]: Simplify (* 1 1) into 1
9.224 * [backup-simplify]: Simplify 1 into 1
9.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.225 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.225 * [backup-simplify]: Simplify (+ 0 0) into 0
9.225 * [taylor]: Taking taylor expansion of 0 in im
9.225 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.227 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
9.227 * [backup-simplify]: Simplify (+ 0 0) into 0
9.227 * [taylor]: Taking taylor expansion of 0 in im
9.227 * [backup-simplify]: Simplify 0 into 0
9.227 * [backup-simplify]: Simplify 0 into 0
9.227 * [backup-simplify]: Simplify 0 into 0
9.228 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
9.228 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
9.228 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
9.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.228 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.228 * [taylor]: Taking taylor expansion of im in im
9.228 * [backup-simplify]: Simplify 0 into 0
9.228 * [backup-simplify]: Simplify 1 into 1
9.228 * [backup-simplify]: Simplify (* 1 1) into 1
9.228 * [backup-simplify]: Simplify (/ 1 1) into 1
9.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.228 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.229 * [taylor]: Taking taylor expansion of re in im
9.229 * [backup-simplify]: Simplify re into re
9.229 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.229 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.229 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.229 * [taylor]: Taking taylor expansion of im in re
9.229 * [backup-simplify]: Simplify im into im
9.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.229 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.229 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.229 * [taylor]: Taking taylor expansion of re in re
9.229 * [backup-simplify]: Simplify 0 into 0
9.229 * [backup-simplify]: Simplify 1 into 1
9.229 * [backup-simplify]: Simplify (* 1 1) into 1
9.229 * [backup-simplify]: Simplify (/ 1 1) into 1
9.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.230 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.230 * [taylor]: Taking taylor expansion of im in re
9.230 * [backup-simplify]: Simplify im into im
9.230 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.230 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.230 * [taylor]: Taking taylor expansion of re in re
9.230 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify 1 into 1
9.230 * [backup-simplify]: Simplify (* 1 1) into 1
9.230 * [backup-simplify]: Simplify (/ 1 1) into 1
9.231 * [backup-simplify]: Simplify (+ 0 1) into 1
9.231 * [taylor]: Taking taylor expansion of 1 in im
9.231 * [backup-simplify]: Simplify 1 into 1
9.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.232 * [backup-simplify]: Simplify (+ 0 0) into 0
9.232 * [taylor]: Taking taylor expansion of 0 in im
9.232 * [backup-simplify]: Simplify 0 into 0
9.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.233 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.233 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.233 * [taylor]: Taking taylor expansion of im in im
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 1 into 1
9.233 * [backup-simplify]: Simplify (* 1 1) into 1
9.233 * [backup-simplify]: Simplify (/ 1 1) into 1
9.233 * [backup-simplify]: Simplify 1 into 1
9.233 * [backup-simplify]: Simplify 1 into 1
9.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.235 * [backup-simplify]: Simplify (+ 0 0) into 0
9.235 * [taylor]: Taking taylor expansion of 0 in im
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.236 * [backup-simplify]: Simplify 0 into 0
9.236 * [backup-simplify]: Simplify 0 into 0
9.236 * [backup-simplify]: Simplify 0 into 0
9.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.238 * [backup-simplify]: Simplify (+ 0 0) into 0
9.238 * [taylor]: Taking taylor expansion of 0 in im
9.238 * [backup-simplify]: Simplify 0 into 0
9.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.239 * [backup-simplify]: Simplify 0 into 0
9.239 * [backup-simplify]: Simplify 0 into 0
9.239 * [backup-simplify]: Simplify 0 into 0
9.239 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
9.239 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
9.239 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
9.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.240 * [taylor]: Taking taylor expansion of im in im
9.240 * [backup-simplify]: Simplify 0 into 0
9.240 * [backup-simplify]: Simplify 1 into 1
9.240 * [backup-simplify]: Simplify (* 1 1) into 1
9.240 * [backup-simplify]: Simplify (/ 1 1) into 1
9.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.240 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.240 * [taylor]: Taking taylor expansion of re in im
9.240 * [backup-simplify]: Simplify re into re
9.240 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.240 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.240 * [taylor]: Taking taylor expansion of im in re
9.240 * [backup-simplify]: Simplify im into im
9.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.241 * [taylor]: Taking taylor expansion of re in re
9.241 * [backup-simplify]: Simplify 0 into 0
9.241 * [backup-simplify]: Simplify 1 into 1
9.241 * [backup-simplify]: Simplify (* 1 1) into 1
9.241 * [backup-simplify]: Simplify (/ 1 1) into 1
9.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.241 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.241 * [taylor]: Taking taylor expansion of im in re
9.241 * [backup-simplify]: Simplify im into im
9.241 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.241 * [taylor]: Taking taylor expansion of re in re
9.241 * [backup-simplify]: Simplify 0 into 0
9.241 * [backup-simplify]: Simplify 1 into 1
9.242 * [backup-simplify]: Simplify (* 1 1) into 1
9.242 * [backup-simplify]: Simplify (/ 1 1) into 1
9.242 * [backup-simplify]: Simplify (+ 0 1) into 1
9.242 * [taylor]: Taking taylor expansion of 1 in im
9.242 * [backup-simplify]: Simplify 1 into 1
9.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.243 * [backup-simplify]: Simplify (+ 0 0) into 0
9.243 * [taylor]: Taking taylor expansion of 0 in im
9.243 * [backup-simplify]: Simplify 0 into 0
9.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.244 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.244 * [taylor]: Taking taylor expansion of im in im
9.244 * [backup-simplify]: Simplify 0 into 0
9.244 * [backup-simplify]: Simplify 1 into 1
9.245 * [backup-simplify]: Simplify (* 1 1) into 1
9.245 * [backup-simplify]: Simplify (/ 1 1) into 1
9.245 * [backup-simplify]: Simplify 1 into 1
9.245 * [backup-simplify]: Simplify 1 into 1
9.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.247 * [backup-simplify]: Simplify (+ 0 0) into 0
9.247 * [taylor]: Taking taylor expansion of 0 in im
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.249 * [backup-simplify]: Simplify (+ 0 0) into 0
9.249 * [taylor]: Taking taylor expansion of 0 in im
9.249 * [backup-simplify]: Simplify 0 into 0
9.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.250 * [backup-simplify]: Simplify 0 into 0
9.251 * [backup-simplify]: Simplify 0 into 0
9.251 * [backup-simplify]: Simplify 0 into 0
9.251 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
9.251 * * * [progress]: simplifying candidates
9.252 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
9.253 * * [simplify]: Extracting # 0 : cost  0
9.253 * * [simplify]: Extracting # 1 : cost  0
9.253 * * [simplify]: Extracting # 2 : cost  0
9.253 * * [simplify]: Extracting # 3 : cost  0
9.253 * * [simplify]: Extracting # 4 : cost  0
9.253 * * [simplify]: Extracting # 5 : cost  0
9.253 * * [simplify]: Extracting # 6 : cost  0
9.254 * * [simplify]: iteration  0 :  87  enodes  (cost  739 )
9.272 * * [simplify]: Extracting # 0 : cost  0
9.273 * * [simplify]: Extracting # 1 : cost  0
9.273 * * [simplify]: Extracting # 2 : cost  0
9.273 * * [simplify]: Extracting # 3 : cost  0
9.273 * * [simplify]: Extracting # 4 : cost  0
9.273 * * [simplify]: iteration  1 :  169  enodes  (cost  626 )
9.325 * * [simplify]: Extracting # 0 : cost  0
9.326 * * [simplify]: Extracting # 1 : cost  0
9.327 * * [simplify]: Extracting # 2 : cost  0
9.328 * * [simplify]: Extracting # 3 : cost  0
9.329 * * [simplify]: Extracting # 4 : cost  0
9.330 * * [simplify]: iteration  2 :  398  enodes  (cost  534 )
9.512 * * [simplify]: Extracting # 0 : cost  0
9.514 * * [simplify]: Extracting # 1 : cost  0
9.515 * * [simplify]: Extracting # 2 : cost  0
9.515 * * [simplify]: Extracting # 3 : cost  0
9.516 * * [simplify]: Extracting # 4 : cost  0
9.517 * * [simplify]: iteration  3 :  1056  enodes  (cost  534 )
10.262 * * [simplify]: Extracting # 0 : cost  0
10.270 * * [simplify]: Extracting # 1 : cost  0
10.273 * * [simplify]: Extracting # 2 : cost  0
10.275 * * [simplify]: Extracting # 3 : cost  0
10.278 * * [simplify]: Extracting # 4 : cost  0
10.281 * * [simplify]: iteration  4 :  2807  enodes  (cost  528 )
11.477 * * [simplify]: Extracting # 0 : cost  0
11.483 * * [simplify]: Extracting # 1 : cost  0
11.489 * * [simplify]: Extracting # 2 : cost  0
11.494 * * [simplify]: Extracting # 3 : cost  0
11.502 * * [simplify]: Extracting # 4 : cost  0
11.508 * * [simplify]: Extracting # 5 : cost  0
11.516 * * [simplify]: iteration done:  5001  enodes  (cost  528 )
11.517 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp 1/2)
  E
  (exp 1/2)
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  E
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (pow (+ (* re re) (* im im)) 3)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow im 6) (pow re 6))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (- (* re re) (* im im))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
11.517 * * * [progress]: adding candidates to table
11.624 * [progress]: [Phase 3 of 3] Extracting.
11.624 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.625 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
11.625 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.659 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.700 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.729 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.757 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.804 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.831 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.898 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.923 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
11.998 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
12.066 * * * [regime]: Found split indices: #<option (#s(si 8 34) #s(si 9 211) #s(si 4 255))>
12.067 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
12.132 * [regimes]: Found splitpoints: (#s(sp 8 re -1.1564076018637175e+112) #s(sp 9 re 1.3595155319523303e+138) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im)))))> #<alt (λ (re im) (exp (log re)))> #<alt (λ (re im) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))))> #<alt (λ (re im) (exp (log (- re))))> #<alt (λ (re im) re)> #<alt (λ (re im) (exp (log im)))> #<alt (λ (re im) im)> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
12.133 * [simplify]: Simplifying:
  (if (<= re -1.1564076018637175e+112) (- re) (if (<= re 1.3595155319523303e+138) (sqrt (+ (* re re) (* im im))) re))
12.133 * * [simplify]: Extracting # 0 : cost  0
12.133 * * [simplify]: Extracting # 1 : cost  0
12.133 * * [simplify]: Extracting # 2 : cost  0
12.133 * * [simplify]: Extracting # 3 : cost  0
12.133 * * [simplify]: Extracting # 4 : cost  0
12.133 * * [simplify]: Extracting # 5 : cost  0
12.133 * * [simplify]: Extracting # 6 : cost  0
12.133 * * [simplify]: Extracting # 7 : cost  0
12.133 * * [simplify]: Extracting # 8 : cost  0
12.133 * * [simplify]: Extracting # 9 : cost  0
12.133 * * [simplify]: iteration  0 :  13  enodes  (cost  19 )
12.134 * * [simplify]: Extracting # 0 : cost  0
12.134 * * [simplify]: iteration  1 :  14  enodes  (cost  19 )
12.135 * * [simplify]: Extracting # 0 : cost  0
12.135 * * [simplify]: iteration done:  14  enodes  (cost  19 )
12.135 * [simplify]: Simplified to:
  (if (<= re -1.1564076018637175e+112) (- re) (if (<= re 1.3595155319523303e+138) (sqrt (+ (* re re) (* im im))) re))
13.319 * [regime-testing]: Baseline error score: 31.60898001601765
13.320 * [regime-testing]: Oracle error score: 7.884190684029036
13.322 * [regime-testing]: End program error score: 17.792082895301338