71.698 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.020 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.025 * * [simplify]: iteration 0: 6 enodes
0.026 * * [simplify]: iteration 1: 7 enodes
0.027 * * [simplify]: iteration complete: 7 enodes
0.027 * * [simplify]: Extracting #0: cost 1 inf + 0
0.027 * * [simplify]: Extracting #1: cost 2 inf + 0
0.027 * * [simplify]: Extracting #2: cost 4 inf + 0
0.027 * * [simplify]: Extracting #3: cost 6 inf + 0
0.027 * * [simplify]: Extracting #4: cost 3 inf + 43
0.027 * * [simplify]: Extracting #5: cost 0 inf + 368
0.027 * [simplify]: Simplified to:
  (sqrt (+ (* re re) (* im im)))
0.028 * * [progress]: iteration 1 / 4
0.028 * * * [progress]: picking best candidate
0.032 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.032 * * * [progress]: localizing error
0.046 * * * [progress]: generating rewritten candidates
0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.071 * * * [progress]: generating series expansions
0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.071 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.071 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.071 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.072 * [taylor]: Taking taylor expansion of im in im
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.072 * [taylor]: Taking taylor expansion of re in im
0.072 * [backup-simplify]: Simplify re into re
0.072 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.072 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.072 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.072 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.073 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.073 * [taylor]: Taking taylor expansion of im in re
0.073 * [backup-simplify]: Simplify im into im
0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.073 * [taylor]: Taking taylor expansion of re in re
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.074 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.074 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.074 * [taylor]: Taking taylor expansion of im in re
0.074 * [backup-simplify]: Simplify im into im
0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.074 * [taylor]: Taking taylor expansion of re in re
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.075 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.075 * [taylor]: Taking taylor expansion of im in im
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [taylor]: Taking taylor expansion of 0 in im
0.075 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.076 * [backup-simplify]: Simplify (* 1 1) into 1
0.077 * [backup-simplify]: Simplify (+ 0 1) into 1
0.077 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.077 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.077 * [taylor]: Taking taylor expansion of 1/2 in im
0.077 * [backup-simplify]: Simplify 1/2 into 1/2
0.077 * [taylor]: Taking taylor expansion of im in im
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.080 * [taylor]: Taking taylor expansion of 0 in im
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.082 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.082 * [taylor]: Taking taylor expansion of re in im
0.082 * [backup-simplify]: Simplify re into re
0.082 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.082 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.082 * [taylor]: Taking taylor expansion of im in im
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (* 1 1) into 1
0.083 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [backup-simplify]: Simplify (+ 0 1) into 1
0.083 * [backup-simplify]: Simplify (sqrt 1) into 1
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.086 * [taylor]: Taking taylor expansion of re in re
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.087 * [taylor]: Taking taylor expansion of im in re
0.087 * [backup-simplify]: Simplify im into im
0.087 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.087 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.087 * [backup-simplify]: Simplify (+ 1 0) into 1
0.087 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.090 * [taylor]: Taking taylor expansion of re in re
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.090 * [taylor]: Taking taylor expansion of im in re
0.090 * [backup-simplify]: Simplify im into im
0.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.091 * [backup-simplify]: Simplify (sqrt 1) into 1
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.093 * [taylor]: Taking taylor expansion of 1 in im
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of 0 in im
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.096 * [taylor]: Taking taylor expansion of 1/2 in im
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.097 * [taylor]: Taking taylor expansion of im in im
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.102 * [taylor]: Taking taylor expansion of 0 in im
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.104 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.104 * [taylor]: Taking taylor expansion of re in im
0.104 * [backup-simplify]: Simplify re into re
0.104 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.104 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.104 * [taylor]: Taking taylor expansion of im in im
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [backup-simplify]: Simplify (+ 0 1) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.108 * [taylor]: Taking taylor expansion of re in re
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.109 * [backup-simplify]: Simplify (/ 1 1) into 1
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 * [backup-simplify]: Simplify (+ 1 0) 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
0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.112 * [taylor]: Taking taylor expansion of re in re
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (/ 1 1) into 1
0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.113 * [taylor]: Taking taylor expansion of im in re
0.113 * [backup-simplify]: Simplify im into im
0.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.113 * [backup-simplify]: Simplify (+ 1 0) into 1
0.114 * [backup-simplify]: Simplify (sqrt 1) into 1
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.116 * [taylor]: Taking taylor expansion of 1 in im
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [taylor]: Taking taylor expansion of 0 in im
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.119 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.119 * [taylor]: Taking taylor expansion of 1/2 in im
0.119 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in im
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.126 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.126 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.126 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.126 * [taylor]: Taking taylor expansion of im in im
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.126 * [taylor]: Taking taylor expansion of re in im
0.126 * [backup-simplify]: Simplify re into re
0.126 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [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 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.127 * [taylor]: Taking taylor expansion of im in re
0.127 * [backup-simplify]: Simplify im into im
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 (* im im) into (pow im 2)
0.127 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.127 * [taylor]: Taking taylor expansion of im in im
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.127 * [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
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (+ 0 1) into 1
0.129 * [taylor]: Taking taylor expansion of 1 in im
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [taylor]: Taking taylor expansion of 0 in im
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [taylor]: Taking taylor expansion of 0 in im
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.134 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.134 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.134 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.134 * [taylor]: Taking taylor expansion of re in im
0.135 * [backup-simplify]: Simplify re into re
0.135 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.135 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.135 * [taylor]: Taking taylor expansion of im in im
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.135 * [backup-simplify]: Simplify (/ 1 1) into 1
0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.136 * [taylor]: Taking taylor expansion of re in re
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.136 * [taylor]: Taking taylor expansion of im in re
0.136 * [backup-simplify]: Simplify im into im
0.136 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.137 * [taylor]: Taking taylor expansion of re in re
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 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
0.138 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.138 * [taylor]: Taking taylor expansion of 1 in im
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.139 * [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
0.140 * [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 (+ 0 (/ 1 (pow im 2))) 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
0.141 * [taylor]: Taking taylor expansion of im in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify 1 into 1
0.142 * [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
0.143 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [taylor]: Taking taylor expansion of 0 in im
0.143 * [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
0.146 * [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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [taylor]: Taking taylor expansion of 0 in im
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.150 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.150 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.150 * [taylor]: Taking taylor expansion of re in im
0.150 * [backup-simplify]: Simplify re into re
0.150 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.150 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.150 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.150 * [taylor]: Taking taylor expansion of im in im
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (* 1 1) into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.151 * [taylor]: Taking taylor expansion of re in re
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.152 * [taylor]: Taking taylor expansion of im in re
0.152 * [backup-simplify]: Simplify im into im
0.152 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.152 * [taylor]: Taking taylor expansion of re in re
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.152 * [taylor]: Taking taylor expansion of im in re
0.152 * [backup-simplify]: Simplify im into im
0.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [taylor]: Taking taylor expansion of 1 in im
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [taylor]: Taking taylor expansion of 0 in im
0.154 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.155 * [taylor]: Taking taylor expansion of im in im
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (/ 1 1) into 1
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [taylor]: Taking taylor expansion of 0 in im
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.163 * * * [progress]: simplifying candidates
0.164 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.165 * * [simplify]: iteration 0: 48 enodes
0.178 * * [simplify]: iteration 1: 142 enodes
0.246 * * [simplify]: iteration 2: 770 enodes
0.529 * * [simplify]: iteration complete: 5000 enodes
0.529 * * [simplify]: Extracting #0: cost 28 inf + 0
0.530 * * [simplify]: Extracting #1: cost 262 inf + 4
0.534 * * [simplify]: Extracting #2: cost 1739 inf + 4350
0.803 * * [simplify]: Extracting #3: cost 1667 inf + 70823
0.848 * * [simplify]: Extracting #4: cost 347 inf + 269973
0.928 * * [simplify]: Extracting #5: cost 43 inf + 330604
0.994 * * [simplify]: Extracting #6: cost 0 inf + 342675
1.076 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ (* re re) (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
  (+ (* re re) (* im im))
1.079 * * * [progress]: adding candidates to table
1.211 * * [progress]: iteration 2 / 4
1.211 * * * [progress]: picking best candidate
1.230 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
1.230 * * * [progress]: localizing error
1.247 * * * [progress]: generating rewritten candidates
1.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.254 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.320 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
1.332 * * * [progress]: generating series expansions
1.332 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.332 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
1.332 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
1.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.332 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.332 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.332 * [taylor]: Taking taylor expansion of im in im
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 1 into 1
1.332 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.332 * [taylor]: Taking taylor expansion of re in im
1.332 * [backup-simplify]: Simplify re into re
1.332 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.333 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.333 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.333 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.333 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.333 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.333 * [taylor]: Taking taylor expansion of im in re
1.333 * [backup-simplify]: Simplify im into im
1.333 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.333 * [taylor]: Taking taylor expansion of re in re
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 1 into 1
1.334 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.334 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.334 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.334 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.334 * [backup-simplify]: Simplify (+ 0 0) into 0
1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.334 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.334 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.334 * [taylor]: Taking taylor expansion of im in re
1.334 * [backup-simplify]: Simplify im into im
1.334 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.334 * [taylor]: Taking taylor expansion of re in re
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 1 into 1
1.334 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.334 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.335 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.335 * [backup-simplify]: Simplify (+ 0 0) into 0
1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.335 * [taylor]: Taking taylor expansion of im in im
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [taylor]: Taking taylor expansion of 0 in im
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.336 * [backup-simplify]: Simplify (* 1 1) into 1
1.336 * [backup-simplify]: Simplify (+ 0 1) into 1
1.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.337 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.337 * [taylor]: Taking taylor expansion of 1/2 in im
1.337 * [backup-simplify]: Simplify 1/2 into 1/2
1.337 * [taylor]: Taking taylor expansion of im in im
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.339 * [backup-simplify]: Simplify (+ 0 0) into 0
1.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.339 * [taylor]: Taking taylor expansion of 0 in im
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.340 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.340 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.340 * [taylor]: Taking taylor expansion of re in im
1.340 * [backup-simplify]: Simplify re into re
1.340 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.340 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.340 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.340 * [taylor]: Taking taylor expansion of im in im
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (* 1 1) into 1
1.340 * [backup-simplify]: Simplify (/ 1 1) into 1
1.341 * [backup-simplify]: Simplify (+ 0 1) into 1
1.341 * [backup-simplify]: Simplify (sqrt 1) into 1
1.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.342 * [backup-simplify]: Simplify (+ 0 0) into 0
1.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.342 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.342 * [taylor]: Taking taylor expansion of re in re
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.343 * [backup-simplify]: Simplify (* 1 1) into 1
1.343 * [backup-simplify]: Simplify (/ 1 1) into 1
1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.343 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.343 * [taylor]: Taking taylor expansion of im in re
1.343 * [backup-simplify]: Simplify im into im
1.343 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.343 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.343 * [backup-simplify]: Simplify (+ 1 0) into 1
1.344 * [backup-simplify]: Simplify (sqrt 1) into 1
1.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.346 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.346 * [taylor]: Taking taylor expansion of re in re
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 1 into 1
1.346 * [backup-simplify]: Simplify (* 1 1) into 1
1.346 * [backup-simplify]: Simplify (/ 1 1) into 1
1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.346 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.346 * [taylor]: Taking taylor expansion of im in re
1.346 * [backup-simplify]: Simplify im into im
1.347 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.347 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.347 * [backup-simplify]: Simplify (+ 1 0) into 1
1.347 * [backup-simplify]: Simplify (sqrt 1) into 1
1.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.349 * [backup-simplify]: Simplify (+ 0 0) into 0
1.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.349 * [taylor]: Taking taylor expansion of 1 in im
1.349 * [backup-simplify]: Simplify 1 into 1
1.349 * [taylor]: Taking taylor expansion of 0 in im
1.349 * [backup-simplify]: Simplify 0 into 0
1.349 * [backup-simplify]: Simplify 1 into 1
1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.351 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.352 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.352 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.352 * [taylor]: Taking taylor expansion of 1/2 in im
1.352 * [backup-simplify]: Simplify 1/2 into 1/2
1.352 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.352 * [taylor]: Taking taylor expansion of im in im
1.352 * [backup-simplify]: Simplify 0 into 0
1.352 * [backup-simplify]: Simplify 1 into 1
1.352 * [backup-simplify]: Simplify (* 1 1) into 1
1.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.353 * [backup-simplify]: Simplify 0 into 0
1.353 * [backup-simplify]: Simplify 0 into 0
1.353 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.355 * [backup-simplify]: Simplify (+ 0 0) into 0
1.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.355 * [taylor]: Taking taylor expansion of 0 in im
1.355 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.357 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.357 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.357 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.357 * [taylor]: Taking taylor expansion of re in im
1.357 * [backup-simplify]: Simplify re into re
1.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.357 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.357 * [taylor]: Taking taylor expansion of im in im
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 1 into 1
1.357 * [backup-simplify]: Simplify (* 1 1) into 1
1.358 * [backup-simplify]: Simplify (/ 1 1) into 1
1.358 * [backup-simplify]: Simplify (+ 0 1) into 1
1.358 * [backup-simplify]: Simplify (sqrt 1) into 1
1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.360 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.360 * [taylor]: Taking taylor expansion of re in re
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify 1 into 1
1.360 * [backup-simplify]: Simplify (* 1 1) into 1
1.360 * [backup-simplify]: Simplify (/ 1 1) into 1
1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.360 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.360 * [taylor]: Taking taylor expansion of im in re
1.360 * [backup-simplify]: Simplify im into im
1.360 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.361 * [backup-simplify]: Simplify (+ 1 0) into 1
1.361 * [backup-simplify]: Simplify (sqrt 1) into 1
1.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.362 * [backup-simplify]: Simplify (+ 0 0) into 0
1.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.362 * [taylor]: Taking taylor expansion of re in re
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.363 * [backup-simplify]: Simplify (* 1 1) into 1
1.363 * [backup-simplify]: Simplify (/ 1 1) into 1
1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.363 * [taylor]: Taking taylor expansion of im in re
1.363 * [backup-simplify]: Simplify im into im
1.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.363 * [backup-simplify]: Simplify (+ 1 0) into 1
1.364 * [backup-simplify]: Simplify (sqrt 1) into 1
1.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.365 * [taylor]: Taking taylor expansion of 1 in im
1.365 * [backup-simplify]: Simplify 1 into 1
1.365 * [taylor]: Taking taylor expansion of 0 in im
1.365 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify 1 into 1
1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.368 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.368 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.368 * [taylor]: Taking taylor expansion of 1/2 in im
1.368 * [backup-simplify]: Simplify 1/2 into 1/2
1.368 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.368 * [taylor]: Taking taylor expansion of im in im
1.368 * [backup-simplify]: Simplify 0 into 0
1.368 * [backup-simplify]: Simplify 1 into 1
1.368 * [backup-simplify]: Simplify (* 1 1) into 1
1.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.369 * [backup-simplify]: Simplify 0 into 0
1.369 * [backup-simplify]: Simplify 0 into 0
1.369 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.371 * [backup-simplify]: Simplify (+ 0 0) into 0
1.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.371 * [taylor]: Taking taylor expansion of 0 in im
1.371 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
1.373 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
1.373 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.373 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.373 * [taylor]: Taking taylor expansion of im in im
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.373 * [taylor]: Taking taylor expansion of re in im
1.373 * [backup-simplify]: Simplify re into re
1.373 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.373 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.373 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.373 * [backup-simplify]: Simplify (+ 0 0) into 0
1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.373 * [taylor]: Taking taylor expansion of im in re
1.373 * [backup-simplify]: Simplify im into im
1.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.373 * [taylor]: Taking taylor expansion of re in re
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.374 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.374 * [backup-simplify]: Simplify (+ 0 0) into 0
1.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.374 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.374 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.374 * [taylor]: Taking taylor expansion of im in re
1.374 * [backup-simplify]: Simplify im into im
1.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.374 * [taylor]: Taking taylor expansion of re in re
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.374 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.375 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.375 * [backup-simplify]: Simplify (+ 0 0) into 0
1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.375 * [taylor]: Taking taylor expansion of im in im
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [taylor]: Taking taylor expansion of 0 in im
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.376 * [backup-simplify]: Simplify (* 1 1) into 1
1.376 * [backup-simplify]: Simplify (+ 0 1) into 1
1.376 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.376 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.376 * [taylor]: Taking taylor expansion of 1/2 in im
1.376 * [backup-simplify]: Simplify 1/2 into 1/2
1.376 * [taylor]: Taking taylor expansion of im in im
1.376 * [backup-simplify]: Simplify 0 into 0
1.376 * [backup-simplify]: Simplify 1 into 1
1.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.378 * [backup-simplify]: Simplify (+ 0 0) into 0
1.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.378 * [taylor]: Taking taylor expansion of 0 in im
1.378 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.379 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.379 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.379 * [taylor]: Taking taylor expansion of re in im
1.379 * [backup-simplify]: Simplify re into re
1.379 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.380 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.380 * [taylor]: Taking taylor expansion of im in im
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify 1 into 1
1.380 * [backup-simplify]: Simplify (* 1 1) into 1
1.380 * [backup-simplify]: Simplify (/ 1 1) into 1
1.380 * [backup-simplify]: Simplify (+ 0 1) into 1
1.381 * [backup-simplify]: Simplify (sqrt 1) into 1
1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.382 * [backup-simplify]: Simplify (+ 0 0) into 0
1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.382 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.382 * [taylor]: Taking taylor expansion of re in re
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [backup-simplify]: Simplify (* 1 1) into 1
1.383 * [backup-simplify]: Simplify (/ 1 1) into 1
1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.383 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.383 * [taylor]: Taking taylor expansion of im in re
1.383 * [backup-simplify]: Simplify im into im
1.383 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.383 * [backup-simplify]: Simplify (+ 1 0) into 1
1.383 * [backup-simplify]: Simplify (sqrt 1) into 1
1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.384 * [backup-simplify]: Simplify (+ 0 0) into 0
1.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.385 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.385 * [taylor]: Taking taylor expansion of re in re
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.385 * [backup-simplify]: Simplify (* 1 1) into 1
1.385 * [backup-simplify]: Simplify (/ 1 1) into 1
1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.385 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.385 * [taylor]: Taking taylor expansion of im in re
1.385 * [backup-simplify]: Simplify im into im
1.385 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.386 * [backup-simplify]: Simplify (+ 1 0) into 1
1.386 * [backup-simplify]: Simplify (sqrt 1) into 1
1.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.388 * [taylor]: Taking taylor expansion of 1 in im
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [taylor]: Taking taylor expansion of 0 in im
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.390 * [taylor]: Taking taylor expansion of 1/2 in im
1.390 * [backup-simplify]: Simplify 1/2 into 1/2
1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.390 * [taylor]: Taking taylor expansion of im in im
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify 1 into 1
1.390 * [backup-simplify]: Simplify (* 1 1) into 1
1.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.392 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.394 * [backup-simplify]: Simplify (+ 0 0) into 0
1.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.395 * [taylor]: Taking taylor expansion of 0 in im
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.397 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.397 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.397 * [taylor]: Taking taylor expansion of re in im
1.397 * [backup-simplify]: Simplify re into re
1.397 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.397 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.397 * [taylor]: Taking taylor expansion of im in im
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 1 into 1
1.397 * [backup-simplify]: Simplify (* 1 1) into 1
1.398 * [backup-simplify]: Simplify (/ 1 1) into 1
1.398 * [backup-simplify]: Simplify (+ 0 1) into 1
1.398 * [backup-simplify]: Simplify (sqrt 1) into 1
1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.400 * [backup-simplify]: Simplify (+ 0 0) into 0
1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.400 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.400 * [taylor]: Taking taylor expansion of re in re
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 1 into 1
1.401 * [backup-simplify]: Simplify (* 1 1) into 1
1.401 * [backup-simplify]: Simplify (/ 1 1) into 1
1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.401 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.401 * [taylor]: Taking taylor expansion of im in re
1.401 * [backup-simplify]: Simplify im into im
1.401 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.401 * [backup-simplify]: Simplify (+ 1 0) into 1
1.402 * [backup-simplify]: Simplify (sqrt 1) into 1
1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.403 * [backup-simplify]: Simplify (+ 0 0) into 0
1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.404 * [taylor]: Taking taylor expansion of re in re
1.404 * [backup-simplify]: Simplify 0 into 0
1.404 * [backup-simplify]: Simplify 1 into 1
1.404 * [backup-simplify]: Simplify (* 1 1) into 1
1.404 * [backup-simplify]: Simplify (/ 1 1) into 1
1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.404 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.405 * [taylor]: Taking taylor expansion of im in re
1.405 * [backup-simplify]: Simplify im into im
1.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.405 * [backup-simplify]: Simplify (+ 1 0) into 1
1.405 * [backup-simplify]: Simplify (sqrt 1) into 1
1.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.407 * [backup-simplify]: Simplify (+ 0 0) into 0
1.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.409 * [taylor]: Taking taylor expansion of 1 in im
1.409 * [backup-simplify]: Simplify 1 into 1
1.409 * [taylor]: Taking taylor expansion of 0 in im
1.409 * [backup-simplify]: Simplify 0 into 0
1.409 * [backup-simplify]: Simplify 1 into 1
1.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.411 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.412 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.412 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.412 * [taylor]: Taking taylor expansion of 1/2 in im
1.412 * [backup-simplify]: Simplify 1/2 into 1/2
1.412 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.412 * [taylor]: Taking taylor expansion of im in im
1.412 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify 1 into 1
1.413 * [backup-simplify]: Simplify (* 1 1) into 1
1.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.416 * [backup-simplify]: Simplify (+ 0 0) into 0
1.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.417 * [taylor]: Taking taylor expansion of 0 in im
1.417 * [backup-simplify]: Simplify 0 into 0
1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.418 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.419 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
1.419 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.419 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.419 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.419 * [taylor]: Taking taylor expansion of im in im
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.419 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.419 * [taylor]: Taking taylor expansion of re in im
1.419 * [backup-simplify]: Simplify re into re
1.419 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.419 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.420 * [backup-simplify]: Simplify (+ 0 0) into 0
1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.420 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.420 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.420 * [taylor]: Taking taylor expansion of im in re
1.420 * [backup-simplify]: Simplify im into im
1.420 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.420 * [taylor]: Taking taylor expansion of re in re
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.420 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.420 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.421 * [backup-simplify]: Simplify (+ 0 0) into 0
1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.421 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.421 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.421 * [taylor]: Taking taylor expansion of im in re
1.421 * [backup-simplify]: Simplify im into im
1.421 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.421 * [taylor]: Taking taylor expansion of re in re
1.421 * [backup-simplify]: Simplify 0 into 0
1.421 * [backup-simplify]: Simplify 1 into 1
1.421 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.421 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.421 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.421 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.422 * [backup-simplify]: Simplify (+ 0 0) into 0
1.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.422 * [taylor]: Taking taylor expansion of im in im
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 1 into 1
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [taylor]: Taking taylor expansion of 0 in im
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 1 into 1
1.423 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.423 * [backup-simplify]: Simplify (* 1 1) into 1
1.423 * [backup-simplify]: Simplify (+ 0 1) into 1
1.424 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.424 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.424 * [taylor]: Taking taylor expansion of 1/2 in im
1.424 * [backup-simplify]: Simplify 1/2 into 1/2
1.424 * [taylor]: Taking taylor expansion of im in im
1.424 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify 1 into 1
1.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.425 * [backup-simplify]: Simplify 0 into 0
1.425 * [backup-simplify]: Simplify 0 into 0
1.425 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.426 * [backup-simplify]: Simplify (+ 0 0) into 0
1.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.427 * [taylor]: Taking taylor expansion of 0 in im
1.427 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.428 * [backup-simplify]: Simplify 0 into 0
1.428 * [backup-simplify]: Simplify 0 into 0
1.428 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.428 * [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 re 2)) (/ 1 (pow im 2))))
1.428 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.428 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.428 * [taylor]: Taking taylor expansion of re in im
1.428 * [backup-simplify]: Simplify re into re
1.428 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.428 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.429 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.429 * [taylor]: Taking taylor expansion of im in im
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify 1 into 1
1.429 * [backup-simplify]: Simplify (* 1 1) into 1
1.429 * [backup-simplify]: Simplify (/ 1 1) into 1
1.430 * [backup-simplify]: Simplify (+ 0 1) into 1
1.430 * [backup-simplify]: Simplify (sqrt 1) into 1
1.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.431 * [backup-simplify]: Simplify (+ 0 0) into 0
1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.432 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.432 * [taylor]: Taking taylor expansion of re in re
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [backup-simplify]: Simplify 1 into 1
1.432 * [backup-simplify]: Simplify (* 1 1) into 1
1.433 * [backup-simplify]: Simplify (/ 1 1) into 1
1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.433 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.433 * [taylor]: Taking taylor expansion of im in re
1.433 * [backup-simplify]: Simplify im into im
1.433 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.433 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.433 * [backup-simplify]: Simplify (+ 1 0) into 1
1.433 * [backup-simplify]: Simplify (sqrt 1) into 1
1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.435 * [backup-simplify]: Simplify (+ 0 0) into 0
1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.435 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.435 * [taylor]: Taking taylor expansion of re in re
1.436 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify 1 into 1
1.436 * [backup-simplify]: Simplify (* 1 1) into 1
1.436 * [backup-simplify]: Simplify (/ 1 1) into 1
1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.436 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.436 * [taylor]: Taking taylor expansion of im in re
1.436 * [backup-simplify]: Simplify im into im
1.436 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.437 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.437 * [backup-simplify]: Simplify (+ 1 0) into 1
1.437 * [backup-simplify]: Simplify (sqrt 1) into 1
1.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.439 * [backup-simplify]: Simplify (+ 0 0) into 0
1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.439 * [taylor]: Taking taylor expansion of 1 in im
1.439 * [backup-simplify]: Simplify 1 into 1
1.439 * [taylor]: Taking taylor expansion of 0 in im
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 1 into 1
1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.441 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.442 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.442 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.442 * [taylor]: Taking taylor expansion of 1/2 in im
1.442 * [backup-simplify]: Simplify 1/2 into 1/2
1.442 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.442 * [taylor]: Taking taylor expansion of im in im
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 1 into 1
1.443 * [backup-simplify]: Simplify (* 1 1) into 1
1.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.444 * [backup-simplify]: Simplify 0 into 0
1.444 * [backup-simplify]: Simplify 0 into 0
1.444 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.446 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.446 * [backup-simplify]: Simplify (+ 0 0) into 0
1.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.447 * [taylor]: Taking taylor expansion of 0 in im
1.447 * [backup-simplify]: Simplify 0 into 0
1.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.448 * [backup-simplify]: Simplify 0 into 0
1.448 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.449 * [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 re 2)) (/ 1 (pow im 2))))
1.449 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.449 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.449 * [taylor]: Taking taylor expansion of re in im
1.449 * [backup-simplify]: Simplify re into re
1.449 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.450 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.450 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.450 * [taylor]: Taking taylor expansion of im in im
1.450 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify 1 into 1
1.450 * [backup-simplify]: Simplify (* 1 1) into 1
1.450 * [backup-simplify]: Simplify (/ 1 1) into 1
1.451 * [backup-simplify]: Simplify (+ 0 1) into 1
1.451 * [backup-simplify]: Simplify (sqrt 1) into 1
1.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.452 * [backup-simplify]: Simplify (+ 0 0) into 0
1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.453 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.453 * [taylor]: Taking taylor expansion of re in re
1.453 * [backup-simplify]: Simplify 0 into 0
1.453 * [backup-simplify]: Simplify 1 into 1
1.453 * [backup-simplify]: Simplify (* 1 1) into 1
1.454 * [backup-simplify]: Simplify (/ 1 1) into 1
1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.454 * [taylor]: Taking taylor expansion of im in re
1.454 * [backup-simplify]: Simplify im into im
1.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.454 * [backup-simplify]: Simplify (+ 1 0) into 1
1.454 * [backup-simplify]: Simplify (sqrt 1) into 1
1.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.456 * [backup-simplify]: Simplify (+ 0 0) into 0
1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.457 * [taylor]: Taking taylor expansion of re in re
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [backup-simplify]: Simplify 1 into 1
1.457 * [backup-simplify]: Simplify (* 1 1) into 1
1.457 * [backup-simplify]: Simplify (/ 1 1) into 1
1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.457 * [taylor]: Taking taylor expansion of im in re
1.457 * [backup-simplify]: Simplify im into im
1.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.458 * [backup-simplify]: Simplify (+ 1 0) into 1
1.458 * [backup-simplify]: Simplify (sqrt 1) into 1
1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.460 * [backup-simplify]: Simplify (+ 0 0) into 0
1.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.460 * [taylor]: Taking taylor expansion of 1 in im
1.460 * [backup-simplify]: Simplify 1 into 1
1.460 * [taylor]: Taking taylor expansion of 0 in im
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify 1 into 1
1.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.462 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.463 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.463 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.463 * [taylor]: Taking taylor expansion of 1/2 in im
1.463 * [backup-simplify]: Simplify 1/2 into 1/2
1.463 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.463 * [taylor]: Taking taylor expansion of im in im
1.463 * [backup-simplify]: Simplify 0 into 0
1.463 * [backup-simplify]: Simplify 1 into 1
1.463 * [backup-simplify]: Simplify (* 1 1) into 1
1.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.465 * [backup-simplify]: Simplify 0 into 0
1.465 * [backup-simplify]: Simplify 0 into 0
1.465 * [backup-simplify]: Simplify 0 into 0
1.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.467 * [backup-simplify]: Simplify (+ 0 0) into 0
1.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.467 * [taylor]: Taking taylor expansion of 0 in im
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.469 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.469 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
1.469 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
1.469 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.469 * [taylor]: Taking taylor expansion of im in im
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 1 into 1
1.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.470 * [taylor]: Taking taylor expansion of re in im
1.470 * [backup-simplify]: Simplify re into re
1.470 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.470 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.470 * [taylor]: Taking taylor expansion of im in re
1.470 * [backup-simplify]: Simplify im into im
1.470 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.470 * [taylor]: Taking taylor expansion of re in re
1.470 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify 1 into 1
1.470 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.470 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.470 * [taylor]: Taking taylor expansion of im in re
1.470 * [backup-simplify]: Simplify im into im
1.470 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.470 * [taylor]: Taking taylor expansion of re in re
1.470 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify 1 into 1
1.470 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.470 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.470 * [taylor]: Taking taylor expansion of im in im
1.470 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify 1 into 1
1.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.471 * [backup-simplify]: Simplify (+ 0 0) into 0
1.471 * [taylor]: Taking taylor expansion of 0 in im
1.471 * [backup-simplify]: Simplify 0 into 0
1.471 * [backup-simplify]: Simplify 0 into 0
1.471 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.471 * [backup-simplify]: Simplify (* 1 1) into 1
1.472 * [backup-simplify]: Simplify (+ 0 1) into 1
1.472 * [taylor]: Taking taylor expansion of 1 in im
1.472 * [backup-simplify]: Simplify 1 into 1
1.472 * [backup-simplify]: Simplify 1 into 1
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify (* 1 1) into 1
1.472 * [backup-simplify]: Simplify 1 into 1
1.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.474 * [backup-simplify]: Simplify (+ 0 0) into 0
1.474 * [taylor]: Taking taylor expansion of 0 in im
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.474 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
1.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.476 * [backup-simplify]: Simplify (+ 0 0) into 0
1.476 * [taylor]: Taking taylor expansion of 0 in im
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
1.477 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
1.477 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.477 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.477 * [taylor]: Taking taylor expansion of re in im
1.477 * [backup-simplify]: Simplify re into re
1.477 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.477 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.477 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.477 * [taylor]: Taking taylor expansion of im in im
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 1 into 1
1.478 * [backup-simplify]: Simplify (* 1 1) into 1
1.478 * [backup-simplify]: Simplify (/ 1 1) into 1
1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.478 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.478 * [taylor]: Taking taylor expansion of re in re
1.478 * [backup-simplify]: Simplify 0 into 0
1.478 * [backup-simplify]: Simplify 1 into 1
1.478 * [backup-simplify]: Simplify (* 1 1) into 1
1.479 * [backup-simplify]: Simplify (/ 1 1) into 1
1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.479 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.479 * [taylor]: Taking taylor expansion of im in re
1.479 * [backup-simplify]: Simplify im into im
1.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.479 * [taylor]: Taking taylor expansion of re in re
1.479 * [backup-simplify]: Simplify 0 into 0
1.479 * [backup-simplify]: Simplify 1 into 1
1.479 * [backup-simplify]: Simplify (* 1 1) into 1
1.480 * [backup-simplify]: Simplify (/ 1 1) into 1
1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.480 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.480 * [taylor]: Taking taylor expansion of im in re
1.480 * [backup-simplify]: Simplify im into im
1.480 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.480 * [backup-simplify]: Simplify (+ 1 0) into 1
1.480 * [taylor]: Taking taylor expansion of 1 in im
1.480 * [backup-simplify]: Simplify 1 into 1
1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.482 * [backup-simplify]: Simplify (+ 0 0) into 0
1.482 * [taylor]: Taking taylor expansion of 0 in im
1.482 * [backup-simplify]: Simplify 0 into 0
1.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.483 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.483 * [taylor]: Taking taylor expansion of im in im
1.483 * [backup-simplify]: Simplify 0 into 0
1.483 * [backup-simplify]: Simplify 1 into 1
1.484 * [backup-simplify]: Simplify (* 1 1) into 1
1.484 * [backup-simplify]: Simplify (/ 1 1) into 1
1.484 * [backup-simplify]: Simplify 1 into 1
1.484 * [backup-simplify]: Simplify 1 into 1
1.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.486 * [backup-simplify]: Simplify (+ 0 0) into 0
1.486 * [taylor]: Taking taylor expansion of 0 in im
1.486 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify 0 into 0
1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.490 * [backup-simplify]: Simplify (+ 0 0) into 0
1.490 * [taylor]: Taking taylor expansion of 0 in im
1.490 * [backup-simplify]: Simplify 0 into 0
1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
1.493 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
1.493 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.493 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.493 * [taylor]: Taking taylor expansion of re in im
1.493 * [backup-simplify]: Simplify re into re
1.493 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.493 * [taylor]: Taking taylor expansion of im in im
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify 1 into 1
1.493 * [backup-simplify]: Simplify (* 1 1) into 1
1.494 * [backup-simplify]: Simplify (/ 1 1) into 1
1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.494 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.494 * [taylor]: Taking taylor expansion of re in re
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.494 * [backup-simplify]: Simplify (* 1 1) into 1
1.494 * [backup-simplify]: Simplify (/ 1 1) into 1
1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.494 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.494 * [taylor]: Taking taylor expansion of im in re
1.494 * [backup-simplify]: Simplify im into im
1.495 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.495 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.495 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.495 * [taylor]: Taking taylor expansion of re in re
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.495 * [backup-simplify]: Simplify (* 1 1) into 1
1.495 * [backup-simplify]: Simplify (/ 1 1) into 1
1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.495 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.495 * [taylor]: Taking taylor expansion of im in re
1.496 * [backup-simplify]: Simplify im into im
1.496 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.496 * [backup-simplify]: Simplify (+ 1 0) into 1
1.496 * [taylor]: Taking taylor expansion of 1 in im
1.496 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.498 * [backup-simplify]: Simplify (+ 0 0) into 0
1.498 * [taylor]: Taking taylor expansion of 0 in im
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.499 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.499 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.499 * [taylor]: Taking taylor expansion of im in im
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [backup-simplify]: Simplify 1 into 1
1.500 * [backup-simplify]: Simplify (* 1 1) into 1
1.500 * [backup-simplify]: Simplify (/ 1 1) into 1
1.500 * [backup-simplify]: Simplify 1 into 1
1.500 * [backup-simplify]: Simplify 1 into 1
1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.502 * [backup-simplify]: Simplify (+ 0 0) into 0
1.502 * [taylor]: Taking taylor expansion of 0 in im
1.502 * [backup-simplify]: Simplify 0 into 0
1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify 0 into 0
1.503 * [backup-simplify]: Simplify 0 into 0
1.503 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.506 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [taylor]: Taking taylor expansion of 0 in im
1.506 * [backup-simplify]: Simplify 0 into 0
1.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
1.508 * * * [progress]: simplifying candidates
1.511 * [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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (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))))))
  (* (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 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (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))))) (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))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (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))))) (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))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (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))))) (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))))) (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))))) (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))))) (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))))) (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))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
1.514 * * [simplify]: iteration 0: 121 enodes
1.567 * * [simplify]: iteration 1: 292 enodes
1.705 * * [simplify]: iteration 2: 1649 enodes
2.867 * * [simplify]: iteration complete: 5000 enodes
2.867 * * [simplify]: Extracting #0: cost 42 inf + 0
2.871 * * [simplify]: Extracting #1: cost 1346 inf + 46
2.877 * * [simplify]: Extracting #2: cost 1715 inf + 606
2.887 * * [simplify]: Extracting #3: cost 1541 inf + 22986
2.923 * * [simplify]: Extracting #4: cost 783 inf + 176583
2.994 * * [simplify]: Extracting #5: cost 310 inf + 302466
3.072 * * [simplify]: Extracting #6: cost 38 inf + 390708
3.158 * * [simplify]: Extracting #7: cost 0 inf + 403316
3.243 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  2
  (log (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (* (+ re im) (- re im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (* (+ re im) (- re im)))) (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (sqrt (+ (* im im) (* re re))))))
  (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (cbrt (+ (* im im) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im)))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
3.253 * * * [progress]: adding candidates to table
3.773 * * [progress]: iteration 3 / 4
3.773 * * * [progress]: picking best candidate
3.791 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))>
3.792 * * * [progress]: localizing error
3.822 * * * [progress]: generating rewritten candidates
3.822 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
3.868 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
3.896 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
3.903 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
3.911 * * * [progress]: generating series expansions
3.911 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
3.912 * [backup-simplify]: Simplify (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))) into (+ (pow im 2) (pow re 2))
3.912 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
3.912 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.912 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.912 * [taylor]: Taking taylor expansion of im in im
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.912 * [taylor]: Taking taylor expansion of re in im
3.912 * [backup-simplify]: Simplify re into re
3.912 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.912 * [taylor]: Taking taylor expansion of im in re
3.912 * [backup-simplify]: Simplify im into im
3.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.912 * [taylor]: Taking taylor expansion of re in re
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.912 * [taylor]: Taking taylor expansion of im in re
3.912 * [backup-simplify]: Simplify im into im
3.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.912 * [taylor]: Taking taylor expansion of re in re
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.912 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.912 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.912 * [taylor]: Taking taylor expansion of im in im
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [taylor]: Taking taylor expansion of 0 in im
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.914 * [backup-simplify]: Simplify (* 1 1) into 1
3.914 * [backup-simplify]: Simplify (+ 0 1) into 1
3.914 * [taylor]: Taking taylor expansion of 1 in im
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify (* 1 1) into 1
3.914 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.916 * [backup-simplify]: Simplify (+ 0 0) into 0
3.916 * [taylor]: Taking taylor expansion of 0 in im
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.917 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
3.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.919 * [backup-simplify]: Simplify (+ 0 0) into 0
3.919 * [taylor]: Taking taylor expansion of 0 in im
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
3.920 * [backup-simplify]: Simplify (/ (* (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
3.920 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
3.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.920 * [taylor]: Taking taylor expansion of re in im
3.920 * [backup-simplify]: Simplify re into re
3.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.920 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.920 * [taylor]: Taking taylor expansion of im in im
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.920 * [backup-simplify]: Simplify (* 1 1) into 1
3.921 * [backup-simplify]: Simplify (/ 1 1) into 1
3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.921 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.921 * [taylor]: Taking taylor expansion of re in re
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.921 * [backup-simplify]: Simplify (* 1 1) into 1
3.921 * [backup-simplify]: Simplify (/ 1 1) into 1
3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.921 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.921 * [taylor]: Taking taylor expansion of im in re
3.921 * [backup-simplify]: Simplify im into im
3.922 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.922 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.922 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.922 * [taylor]: Taking taylor expansion of re in re
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (* 1 1) into 1
3.922 * [backup-simplify]: Simplify (/ 1 1) into 1
3.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.922 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.922 * [taylor]: Taking taylor expansion of im in re
3.923 * [backup-simplify]: Simplify im into im
3.923 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.923 * [backup-simplify]: Simplify (+ 1 0) into 1
3.923 * [taylor]: Taking taylor expansion of 1 in im
3.923 * [backup-simplify]: Simplify 1 into 1
3.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.925 * [backup-simplify]: Simplify (+ 0 0) into 0
3.925 * [taylor]: Taking taylor expansion of 0 in im
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.926 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.926 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.926 * [taylor]: Taking taylor expansion of im in im
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (* 1 1) into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.929 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.929 * [backup-simplify]: Simplify (+ 0 0) into 0
3.929 * [taylor]: Taking taylor expansion of 0 in im
3.929 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.933 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [taylor]: Taking taylor expansion of 0 in im
3.933 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
3.936 * [backup-simplify]: Simplify (/ (* (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
3.936 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.936 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.936 * [taylor]: Taking taylor expansion of re in im
3.936 * [backup-simplify]: Simplify re into re
3.936 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.936 * [taylor]: Taking taylor expansion of im in im
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (* 1 1) into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.937 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.937 * [taylor]: Taking taylor expansion of re in re
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (* 1 1) into 1
3.938 * [backup-simplify]: Simplify (/ 1 1) into 1
3.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.938 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.938 * [taylor]: Taking taylor expansion of im in re
3.938 * [backup-simplify]: Simplify im into im
3.938 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.938 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.938 * [taylor]: Taking taylor expansion of re in re
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 1 into 1
3.938 * [backup-simplify]: Simplify (* 1 1) into 1
3.939 * [backup-simplify]: Simplify (/ 1 1) into 1
3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.939 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.939 * [taylor]: Taking taylor expansion of im in re
3.939 * [backup-simplify]: Simplify im into im
3.939 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.939 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.939 * [backup-simplify]: Simplify (+ 1 0) into 1
3.939 * [taylor]: Taking taylor expansion of 1 in im
3.939 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.941 * [taylor]: Taking taylor expansion of 0 in im
3.941 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.942 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.942 * [taylor]: Taking taylor expansion of im in im
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (* 1 1) into 1
3.943 * [backup-simplify]: Simplify (/ 1 1) into 1
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify 1 into 1
3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.945 * [backup-simplify]: Simplify (+ 0 0) into 0
3.945 * [taylor]: Taking taylor expansion of 0 in im
3.945 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.949 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.949 * [taylor]: Taking taylor expansion of 0 in im
3.949 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
3.951 * * * * [progress]: [ 2 / 4 ] generating series at (2)
3.952 * [backup-simplify]: Simplify (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) into (sqrt (+ (pow im 2) (pow re 2)))
3.952 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.952 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.952 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.952 * [taylor]: Taking taylor expansion of im in im
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.952 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.952 * [taylor]: Taking taylor expansion of re in im
3.952 * [backup-simplify]: Simplify re into re
3.952 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.952 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.952 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.952 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.953 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.953 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.953 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.953 * [taylor]: Taking taylor expansion of im in re
3.953 * [backup-simplify]: Simplify im into im
3.953 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.953 * [taylor]: Taking taylor expansion of re in re
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 1 into 1
3.953 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.953 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.954 * [backup-simplify]: Simplify (+ 0 0) into 0
3.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.954 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.954 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.954 * [taylor]: Taking taylor expansion of im in re
3.954 * [backup-simplify]: Simplify im into im
3.954 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.954 * [taylor]: Taking taylor expansion of re in re
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.954 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.954 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.955 * [backup-simplify]: Simplify (+ 0 0) into 0
3.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.955 * [taylor]: Taking taylor expansion of im in im
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [taylor]: Taking taylor expansion of 0 in im
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.956 * [backup-simplify]: Simplify (* 1 1) into 1
3.956 * [backup-simplify]: Simplify (+ 0 1) into 1
3.957 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.957 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.957 * [taylor]: Taking taylor expansion of 1/2 in im
3.957 * [backup-simplify]: Simplify 1/2 into 1/2
3.957 * [taylor]: Taking taylor expansion of im in im
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.958 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.960 * [backup-simplify]: Simplify (+ 0 0) into 0
3.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.960 * [taylor]: Taking taylor expansion of 0 in im
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.962 * [backup-simplify]: Simplify (sqrt (/ (* (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.962 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.962 * [taylor]: Taking taylor expansion of re in im
3.962 * [backup-simplify]: Simplify re into re
3.962 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.962 * [taylor]: Taking taylor expansion of im in im
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (* 1 1) into 1
3.963 * [backup-simplify]: Simplify (/ 1 1) into 1
3.963 * [backup-simplify]: Simplify (+ 0 1) into 1
3.963 * [backup-simplify]: Simplify (sqrt 1) into 1
3.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.965 * [backup-simplify]: Simplify (+ 0 0) into 0
3.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.965 * [taylor]: Taking taylor expansion of re in re
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (* 1 1) into 1
3.966 * [backup-simplify]: Simplify (/ 1 1) into 1
3.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.966 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.966 * [taylor]: Taking taylor expansion of im in re
3.966 * [backup-simplify]: Simplify im into im
3.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.967 * [backup-simplify]: Simplify (+ 1 0) into 1
3.967 * [backup-simplify]: Simplify (sqrt 1) into 1
3.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.969 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.969 * [taylor]: Taking taylor expansion of re in re
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 1 into 1
3.969 * [backup-simplify]: Simplify (* 1 1) into 1
3.970 * [backup-simplify]: Simplify (/ 1 1) into 1
3.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.970 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.970 * [taylor]: Taking taylor expansion of im in re
3.970 * [backup-simplify]: Simplify im into im
3.970 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.970 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.970 * [backup-simplify]: Simplify (+ 1 0) into 1
3.971 * [backup-simplify]: Simplify (sqrt 1) into 1
3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.972 * [backup-simplify]: Simplify (+ 0 0) into 0
3.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.973 * [taylor]: Taking taylor expansion of 1 in im
3.973 * [backup-simplify]: Simplify 1 into 1
3.973 * [taylor]: Taking taylor expansion of 0 in im
3.973 * [backup-simplify]: Simplify 0 into 0
3.973 * [backup-simplify]: Simplify 1 into 1
3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.975 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.975 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.975 * [taylor]: Taking taylor expansion of 1/2 in im
3.975 * [backup-simplify]: Simplify 1/2 into 1/2
3.975 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.975 * [taylor]: Taking taylor expansion of im in im
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.976 * [backup-simplify]: Simplify (* 1 1) into 1
3.976 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.982 * [backup-simplify]: Simplify (+ 0 0) into 0
3.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.982 * [taylor]: Taking taylor expansion of 0 in im
3.982 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.985 * [backup-simplify]: Simplify (sqrt (/ (* (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.985 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.985 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.985 * [taylor]: Taking taylor expansion of re in im
3.985 * [backup-simplify]: Simplify re into re
3.985 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.985 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.985 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.985 * [taylor]: Taking taylor expansion of im in im
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify (* 1 1) into 1
3.986 * [backup-simplify]: Simplify (/ 1 1) into 1
3.986 * [backup-simplify]: Simplify (+ 0 1) into 1
3.987 * [backup-simplify]: Simplify (sqrt 1) into 1
3.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.988 * [backup-simplify]: Simplify (+ 0 0) into 0
3.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.989 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.989 * [taylor]: Taking taylor expansion of re in re
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* 1 1) into 1
3.990 * [backup-simplify]: Simplify (/ 1 1) into 1
3.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.990 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.990 * [taylor]: Taking taylor expansion of im in re
3.990 * [backup-simplify]: Simplify im into im
3.990 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.990 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.991 * [backup-simplify]: Simplify (+ 1 0) into 1
3.991 * [backup-simplify]: Simplify (sqrt 1) into 1
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (+ 0 0) into 0
3.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.993 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.993 * [taylor]: Taking taylor expansion of re in re
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 1 into 1
3.994 * [backup-simplify]: Simplify (* 1 1) into 1
3.994 * [backup-simplify]: Simplify (/ 1 1) into 1
3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.994 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.994 * [taylor]: Taking taylor expansion of im in re
3.994 * [backup-simplify]: Simplify im into im
3.994 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.994 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.995 * [backup-simplify]: Simplify (+ 1 0) into 1
3.995 * [backup-simplify]: Simplify (sqrt 1) into 1
3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.996 * [backup-simplify]: Simplify (+ 0 0) into 0
3.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.997 * [taylor]: Taking taylor expansion of 1 in im
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [taylor]: Taking taylor expansion of 0 in im
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.000 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.000 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.000 * [taylor]: Taking taylor expansion of 1/2 in im
4.000 * [backup-simplify]: Simplify 1/2 into 1/2
4.000 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.000 * [taylor]: Taking taylor expansion of im in im
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (* 1 1) into 1
4.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.005 * [backup-simplify]: Simplify (+ 0 0) into 0
4.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.005 * [taylor]: Taking taylor expansion of 0 in im
4.005 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
4.007 * [backup-simplify]: Simplify (- (* re re) (* im im)) into (- (pow re 2) (pow im 2))
4.007 * [approximate]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in (re im) around 0
4.007 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im
4.007 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.007 * [taylor]: Taking taylor expansion of re in im
4.007 * [backup-simplify]: Simplify re into re
4.007 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.007 * [taylor]: Taking taylor expansion of im in im
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re
4.007 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.007 * [taylor]: Taking taylor expansion of re in re
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.008 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.008 * [taylor]: Taking taylor expansion of im in re
4.008 * [backup-simplify]: Simplify im into im
4.008 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re
4.008 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.008 * [taylor]: Taking taylor expansion of re in re
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.008 * [taylor]: Taking taylor expansion of im in re
4.008 * [backup-simplify]: Simplify im into im
4.008 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.008 * [backup-simplify]: Simplify (- (pow im 2)) into (- (pow im 2))
4.008 * [backup-simplify]: Simplify (+ 0 (- (pow im 2))) into (- (pow im 2))
4.008 * [taylor]: Taking taylor expansion of (- (pow im 2)) in im
4.008 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.008 * [taylor]: Taking taylor expansion of im in im
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.009 * [backup-simplify]: Simplify (- 0) into 0
4.009 * [backup-simplify]: Simplify (+ 0 0) into 0
4.009 * [taylor]: Taking taylor expansion of 0 in im
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify (* 1 1) into 1
4.010 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.010 * [backup-simplify]: Simplify (- 0) into 0
4.010 * [backup-simplify]: Simplify (+ 1 0) into 1
4.010 * [taylor]: Taking taylor expansion of 1 in im
4.010 * [backup-simplify]: Simplify 1 into 1
4.010 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify (* 1 1) into 1
4.011 * [backup-simplify]: Simplify (- 1) into -1
4.011 * [backup-simplify]: Simplify -1 into -1
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.012 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.013 * [backup-simplify]: Simplify (- 0) into 0
4.013 * [backup-simplify]: Simplify (+ 0 0) into 0
4.013 * [taylor]: Taking taylor expansion of 0 in im
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.014 * [backup-simplify]: Simplify (- 0) into 0
4.014 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.016 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
4.016 * [backup-simplify]: Simplify (- 0) into 0
4.016 * [backup-simplify]: Simplify (+ 0 0) into 0
4.016 * [taylor]: Taking taylor expansion of 0 in im
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2))
4.017 * [backup-simplify]: Simplify (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))
4.017 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
4.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.017 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.017 * [taylor]: Taking taylor expansion of re in im
4.017 * [backup-simplify]: Simplify re into re
4.017 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.017 * [taylor]: Taking taylor expansion of im in im
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (* 1 1) into 1
4.018 * [backup-simplify]: Simplify (/ 1 1) into 1
4.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.018 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.018 * [taylor]: Taking taylor expansion of re in re
4.018 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify 1 into 1
4.019 * [backup-simplify]: Simplify (* 1 1) into 1
4.019 * [backup-simplify]: Simplify (/ 1 1) into 1
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.019 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.019 * [taylor]: Taking taylor expansion of im in re
4.019 * [backup-simplify]: Simplify im into im
4.019 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.019 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.019 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.019 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.019 * [taylor]: Taking taylor expansion of re in re
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (* 1 1) into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.020 * [taylor]: Taking taylor expansion of im in re
4.020 * [backup-simplify]: Simplify im into im
4.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.021 * [backup-simplify]: Simplify (+ 1 0) into 1
4.021 * [taylor]: Taking taylor expansion of 1 in im
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [taylor]: Taking taylor expansion of 0 in im
4.022 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2)))
4.024 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2)))
4.024 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im
4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.024 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.024 * [taylor]: Taking taylor expansion of im in im
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (* 1 1) into 1
4.025 * [backup-simplify]: Simplify (/ 1 1) into 1
4.025 * [backup-simplify]: Simplify (- 1) into -1
4.025 * [backup-simplify]: Simplify -1 into -1
4.025 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.027 * [backup-simplify]: Simplify (- 0) into 0
4.028 * [backup-simplify]: Simplify (+ 0 0) into 0
4.028 * [taylor]: Taking taylor expansion of 0 in im
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.029 * [backup-simplify]: Simplify (- 0) into 0
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
4.032 * [backup-simplify]: Simplify (- 0) into 0
4.032 * [backup-simplify]: Simplify (+ 0 0) into 0
4.032 * [taylor]: Taking taylor expansion of 0 in im
4.032 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (- 0) into 0
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2))
4.035 * [backup-simplify]: Simplify (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))
4.035 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
4.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.035 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.035 * [taylor]: Taking taylor expansion of re in im
4.035 * [backup-simplify]: Simplify re into re
4.035 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.035 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.035 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.035 * [taylor]: Taking taylor expansion of im in im
4.035 * [backup-simplify]: Simplify 0 into 0
4.035 * [backup-simplify]: Simplify 1 into 1
4.035 * [backup-simplify]: Simplify (* 1 1) into 1
4.036 * [backup-simplify]: Simplify (/ 1 1) into 1
4.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.036 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.036 * [taylor]: Taking taylor expansion of re in re
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 1 into 1
4.036 * [backup-simplify]: Simplify (* 1 1) into 1
4.037 * [backup-simplify]: Simplify (/ 1 1) into 1
4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.037 * [taylor]: Taking taylor expansion of im in re
4.037 * [backup-simplify]: Simplify im into im
4.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.037 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.037 * [taylor]: Taking taylor expansion of re in re
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 1 into 1
4.037 * [backup-simplify]: Simplify (* 1 1) into 1
4.038 * [backup-simplify]: Simplify (/ 1 1) into 1
4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.038 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.038 * [taylor]: Taking taylor expansion of im in re
4.038 * [backup-simplify]: Simplify im into im
4.038 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.038 * [backup-simplify]: Simplify (+ 1 0) into 1
4.038 * [taylor]: Taking taylor expansion of 1 in im
4.038 * [backup-simplify]: Simplify 1 into 1
4.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (+ 0 0) into 0
4.040 * [taylor]: Taking taylor expansion of 0 in im
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.041 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2)))
4.041 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2)))
4.041 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im
4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.042 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.042 * [taylor]: Taking taylor expansion of im in im
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 1 into 1
4.042 * [backup-simplify]: Simplify (* 1 1) into 1
4.042 * [backup-simplify]: Simplify (/ 1 1) into 1
4.042 * [backup-simplify]: Simplify (- 1) into -1
4.043 * [backup-simplify]: Simplify -1 into -1
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.045 * [backup-simplify]: Simplify (- 0) into 0
4.045 * [backup-simplify]: Simplify (+ 0 0) into 0
4.045 * [taylor]: Taking taylor expansion of 0 in im
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (- 0) into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.048 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
4.049 * [backup-simplify]: Simplify (- 0) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.049 * [taylor]: Taking taylor expansion of 0 in im
4.049 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.051 * [backup-simplify]: Simplify (- 0) into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2))
4.052 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
4.052 * [backup-simplify]: Simplify (- (* re re) (* im im)) into (- (pow re 2) (pow im 2))
4.052 * [approximate]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in (re im) around 0
4.052 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im
4.052 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.052 * [taylor]: Taking taylor expansion of re in im
4.052 * [backup-simplify]: Simplify re into re
4.052 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.052 * [taylor]: Taking taylor expansion of im in im
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 1 into 1
4.052 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re
4.052 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.052 * [taylor]: Taking taylor expansion of re in re
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 1 into 1
4.052 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.052 * [taylor]: Taking taylor expansion of im in re
4.052 * [backup-simplify]: Simplify im into im
4.052 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re
4.052 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.052 * [taylor]: Taking taylor expansion of re in re
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 1 into 1
4.052 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.052 * [taylor]: Taking taylor expansion of im in re
4.053 * [backup-simplify]: Simplify im into im
4.053 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.053 * [backup-simplify]: Simplify (- (pow im 2)) into (- (pow im 2))
4.053 * [backup-simplify]: Simplify (+ 0 (- (pow im 2))) into (- (pow im 2))
4.053 * [taylor]: Taking taylor expansion of (- (pow im 2)) in im
4.053 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.053 * [taylor]: Taking taylor expansion of im in im
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.053 * [backup-simplify]: Simplify (- 0) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [taylor]: Taking taylor expansion of 0 in im
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify (* 1 1) into 1
4.054 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.055 * [backup-simplify]: Simplify (- 0) into 0
4.055 * [backup-simplify]: Simplify (+ 1 0) into 1
4.055 * [taylor]: Taking taylor expansion of 1 in im
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (* 1 1) into 1
4.056 * [backup-simplify]: Simplify (- 1) into -1
4.056 * [backup-simplify]: Simplify -1 into -1
4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.057 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.057 * [backup-simplify]: Simplify (- 0) into 0
4.058 * [backup-simplify]: Simplify (+ 0 0) into 0
4.058 * [taylor]: Taking taylor expansion of 0 in im
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.059 * [backup-simplify]: Simplify (- 0) into 0
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
4.060 * [backup-simplify]: Simplify (- 0) into 0
4.061 * [backup-simplify]: Simplify (+ 0 0) into 0
4.061 * [taylor]: Taking taylor expansion of 0 in im
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2))
4.061 * [backup-simplify]: Simplify (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))
4.061 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
4.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.062 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.062 * [taylor]: Taking taylor expansion of re in im
4.062 * [backup-simplify]: Simplify re into re
4.062 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.062 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.062 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.062 * [taylor]: Taking taylor expansion of im in im
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (* 1 1) into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.063 * [taylor]: Taking taylor expansion of re in re
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [backup-simplify]: Simplify (* 1 1) into 1
4.063 * [backup-simplify]: Simplify (/ 1 1) into 1
4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.063 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.063 * [taylor]: Taking taylor expansion of im in re
4.063 * [backup-simplify]: Simplify im into im
4.063 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.064 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.064 * [taylor]: Taking taylor expansion of re in re
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify (* 1 1) into 1
4.064 * [backup-simplify]: Simplify (/ 1 1) into 1
4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.064 * [taylor]: Taking taylor expansion of im in re
4.064 * [backup-simplify]: Simplify im into im
4.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.065 * [backup-simplify]: Simplify (+ 1 0) into 1
4.065 * [taylor]: Taking taylor expansion of 1 in im
4.065 * [backup-simplify]: Simplify 1 into 1
4.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.066 * [backup-simplify]: Simplify (+ 0 0) into 0
4.066 * [taylor]: Taking taylor expansion of 0 in im
4.066 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.068 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2)))
4.068 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2)))
4.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im
4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.068 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.068 * [taylor]: Taking taylor expansion of im in im
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (* 1 1) into 1
4.069 * [backup-simplify]: Simplify (/ 1 1) into 1
4.069 * [backup-simplify]: Simplify (- 1) into -1
4.069 * [backup-simplify]: Simplify -1 into -1
4.069 * [backup-simplify]: Simplify 1 into 1
4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.071 * [backup-simplify]: Simplify (- 0) into 0
4.072 * [backup-simplify]: Simplify (+ 0 0) into 0
4.072 * [taylor]: Taking taylor expansion of 0 in im
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.073 * [backup-simplify]: Simplify (- 0) into 0
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
4.076 * [backup-simplify]: Simplify (- 0) into 0
4.076 * [backup-simplify]: Simplify (+ 0 0) into 0
4.076 * [taylor]: Taking taylor expansion of 0 in im
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (- 0) into 0
4.077 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2))
4.078 * [backup-simplify]: Simplify (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))
4.078 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
4.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.078 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.078 * [taylor]: Taking taylor expansion of re in im
4.078 * [backup-simplify]: Simplify re into re
4.078 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.078 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.078 * [taylor]: Taking taylor expansion of im in im
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 1 into 1
4.079 * [backup-simplify]: Simplify (* 1 1) into 1
4.079 * [backup-simplify]: Simplify (/ 1 1) into 1
4.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.079 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.079 * [taylor]: Taking taylor expansion of re in re
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [backup-simplify]: Simplify (* 1 1) into 1
4.080 * [backup-simplify]: Simplify (/ 1 1) into 1
4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.080 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.080 * [taylor]: Taking taylor expansion of im in re
4.080 * [backup-simplify]: Simplify im into im
4.080 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.080 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.080 * [taylor]: Taking taylor expansion of re in re
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify 1 into 1
4.080 * [backup-simplify]: Simplify (* 1 1) into 1
4.081 * [backup-simplify]: Simplify (/ 1 1) into 1
4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.081 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.081 * [taylor]: Taking taylor expansion of im in re
4.081 * [backup-simplify]: Simplify im into im
4.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.081 * [backup-simplify]: Simplify (+ 1 0) into 1
4.081 * [taylor]: Taking taylor expansion of 1 in im
4.081 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [taylor]: Taking taylor expansion of 0 in im
4.083 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.084 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2)))
4.085 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2)))
4.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im
4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.085 * [taylor]: Taking taylor expansion of im in im
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 1 into 1
4.085 * [backup-simplify]: Simplify (* 1 1) into 1
4.085 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [backup-simplify]: Simplify (- 1) into -1
4.086 * [backup-simplify]: Simplify -1 into -1
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.088 * [backup-simplify]: Simplify (- 0) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [taylor]: Taking taylor expansion of 0 in im
4.088 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.089 * [backup-simplify]: Simplify (- 0) into 0
4.089 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
4.092 * [backup-simplify]: Simplify (- 0) into 0
4.092 * [backup-simplify]: Simplify (+ 0 0) into 0
4.093 * [taylor]: Taking taylor expansion of 0 in im
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.094 * [backup-simplify]: Simplify (- 0) into 0
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2))
4.095 * * * [progress]: simplifying candidates
4.097 * [simplify]: Simplifying:
  (- (+ (log (+ (* re re) (* im im))) (log (- (* re re) (* im im)))) (log (- (* re re) (* im im))))
  (- (log (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (log (- (* re re) (* im im))))
  (log (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (exp (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (/ (* (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* (- (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) (* (* (- (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (/ (* (* (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (* (* (- (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (* (cbrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) (cbrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (cbrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (* (* (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))) (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (- (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (- (- (* re re) (* im im)))
  (/ (+ (* re re) (* im im)) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))
  (/ (- (* re re) (* im im)) (cbrt (- (* re re) (* im im))))
  (/ (+ (* re re) (* im im)) (sqrt (- (* re re) (* im im))))
  (/ (- (* re re) (* im im)) (sqrt (- (* re re) (* im im))))
  (/ (+ (* re re) (* im im)) 1)
  (/ (- (* re re) (* im im)) (- (* re re) (* im im)))
  (/ (+ (* re re) (* im im)) (+ re im))
  (/ (- (* re re) (* im im)) (- re im))
  (/ 1 (- (* re re) (* im im)))
  (/ (- (* re re) (* im im)) (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))
  (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (sqrt (- (* re re) (* im im))))
  (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) 1)
  (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (+ re im))
  (/ (- (* re re) (* im im)) (- (* re re) (* im im)))
  (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (pow (* re re) 3) (pow (* im im) 3)))
  (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (* (- (* re re) (* im im)) (* (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (+ (* (* re re) (* re re)) (+ (* (* im im) (* im im)) (* (* re re) (* im im))))))
  (* (- (* re re) (* im im)) (* (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (+ (* re re) (* im im))))
  (* (- (* re re) (* im im)) (* (- (* re re) (* im im)) (+ (* (* re re) (* re re)) (+ (* (* im im) (* im im)) (* (* re re) (* im im))))))
  (* (- (* re re) (* im im)) (* (- (* re re) (* im im)) (+ (* re re) (* im im))))
  (* (- (* re re) (* im im)) (+ (* (* re re) (* re re)) (+ (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (* (- (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (- (* re re) (* im im)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (* (- (* re re) (* im im)) (- (* re re) (* im im)))
  (log (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (exp (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (* (cbrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))) (cbrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))))
  (cbrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (* (* (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (sqrt (* (cbrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) (cbrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))))
  (sqrt (cbrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (sqrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (sqrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (sqrt (/ (+ (* re re) (* im im)) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))))
  (sqrt (/ (- (* re re) (* im im)) (cbrt (- (* re re) (* im im)))))
  (sqrt (/ (+ (* re re) (* im im)) (sqrt (- (* re re) (* im im)))))
  (sqrt (/ (- (* re re) (* im im)) (sqrt (- (* re re) (* im im)))))
  (sqrt (/ (+ (* re re) (* im im)) 1))
  (sqrt (/ (- (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (/ (+ (* re re) (* im im)) (+ re im)))
  (sqrt (/ (- (* re re) (* im im)) (- re im)))
  (sqrt 1)
  (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (/ 1 (- (* re re) (* im im))))
  (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (pow (* re re) 3) (pow (* im im) 3))))
  (sqrt (+ (* (* re re) (* re re)) (+ (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* (* re re) (* re re)) (* (* im im) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))
  (sqrt (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* 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))))
  (- (* im im))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (+ (* re re) (* im im))
  (+ re im)
  (- re im)
  (- (* 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))))
  (- (* im im))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (+ (* re re) (* im im))
  (+ re im)
  (- re im)
  (- (* im im))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  im
  re
  (* -1 re)
  (- (pow re 2) (pow im 2))
  (- (pow re 2) (pow im 2))
  (- (pow re 2) (pow im 2))
  (- (pow re 2) (pow im 2))
  (- (pow re 2) (pow im 2))
  (- (pow re 2) (pow im 2))
4.099 * * [simplify]: iteration 0: 112 enodes
4.130 * * [simplify]: iteration 1: 356 enodes
4.377 * * [simplify]: iteration 2: 2684 enodes
5.348 * * [simplify]: iteration complete: 5001 enodes
5.348 * * [simplify]: Extracting #0: cost 67 inf + 0
5.349 * * [simplify]: Extracting #1: cost 912 inf + 453
5.356 * * [simplify]: Extracting #2: cost 1495 inf + 30829
5.392 * * [simplify]: Extracting #3: cost 1295 inf + 189713
5.489 * * [simplify]: Extracting #4: cost 155 inf + 516590
5.624 * * [simplify]: Extracting #5: cost 2 inf + 572165
5.783 * * [simplify]: Extracting #6: cost 0 inf + 572266
5.925 * [simplify]: Simplified to:
  (log (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (- (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1))
  (- (* (- re im) (+ re im)))
  (/ (+ (* im im) (* re re)) (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))))
  (/ (* (- re im) (+ re im)) (cbrt (* (- re im) (+ re im))))
  (/ (+ (* im im) (* re re)) (sqrt (* (- re im) (+ re im))))
  (/ (* (- re im) (+ re im)) (sqrt (* (- re im) (+ re im))))
  (+ (* im im) (* re re))
  1
  (/ (+ (* im im) (* re re)) (+ re im))
  (/ (* (- re im) (+ re im)) (- re im))
  (/ 1 (* (- re im) (+ re im)))
  (/ 1 (+ (* im im) (* re re)))
  (/ (+ (* im im) (* re re)) (/ (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (* (- re im) (+ re im))))
  (/ (+ (* im im) (* re re)) (/ (sqrt (* (- re im) (+ re im))) (* (- re im) (+ re im))))
  (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1)
  (/ (+ (* im im) (* re re)) (/ (+ re im) (* (- re im) (+ re im))))
  1
  (/ (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1) (- (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (/ (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  (* (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))) (* (+ (* (* re re) (* re re)) (* (+ (* im im) (* re re)) (* im im))) (* (- re im) (+ re im))))
  (* (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))) (* (+ (* im im) (* re re)) (* (- re im) (+ re im))))
  (* (* (* (- re im) (+ re im)) (* (- re im) (+ re im))) (+ (* (* re re) (* re re)) (* (+ (* im im) (* re re)) (* im im))))
  (* (+ (* im im) (* re re)) (* (* (- re im) (+ re im)) (* (- re im) (+ re im))))
  (* (+ (* (* re re) (* re re)) (* (+ (* im im) (* re re)) (* im im))) (* (- re im) (+ re im)))
  (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1)
  (* (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))) (* (- re im) (+ re im)))
  (* (* (- re im) (+ re im)) (* (- re im) (+ re im)))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (/ (+ (* im im) (* re re)) (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im))))))
  (sqrt (/ (* (- re im) (+ re im)) (cbrt (* (- re im) (+ re im)))))
  (sqrt (/ (+ (* im im) (* re re)) (sqrt (* (- re im) (+ re im)))))
  (sqrt (/ (* (- re im) (+ re im)) (sqrt (* (- re im) (+ re im)))))
  (sqrt (+ (* im im) (* re re)))
  1
  (sqrt (/ (+ (* im im) (* re re)) (+ re im)))
  (sqrt (/ (* (- re im) (+ re im)) (- re im)))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1))
  (sqrt (/ 1 (* (- re im) (+ re im))))
  (sqrt (/ (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1) (- (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im)))))
  (sqrt (+ (* (* re re) (* re re)) (* (+ (* im im) (* re re)) (* im im))))
  (sqrt (/ (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) 1))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (* (- re im) (+ re im)))
  (log (* (- re im) (+ re im)))
  (exp (* (- re im) (+ re im)))
  (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im))))
  (cbrt (* (- re im) (+ re im)))
  (* (* (- re im) (+ re im)) (* (* (- re im) (+ re im)) (* (- re im) (+ re im))))
  (sqrt (* (- re im) (+ re im)))
  (sqrt (* (- re im) (+ re im)))
  (- (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im)))
  (+ (* (* re re) (* re re)) (* (+ (* im im) (* re re)) (* im im)))
  (* (- im) im)
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (+ (* im im) (* re re))
  (+ re im)
  (- re im)
  (* (- im) im)
  (exp (* (- re im) (+ re im)))
  (log (* (- re im) (+ re im)))
  (exp (* (- re im) (+ re im)))
  (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im))))
  (cbrt (* (- re im) (+ re im)))
  (* (* (- re im) (+ re im)) (* (* (- re im) (+ re im)) (* (- re im) (+ re im))))
  (sqrt (* (- re im) (+ re im)))
  (sqrt (* (- re im) (+ re im)))
  (- (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im)))
  (+ (* (* re re) (* re re)) (* (+ (* im im) (* re re)) (* im im)))
  (* (- im) im)
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (+ (* im im) (* re re))
  (+ re im)
  (- re im)
  (* (- im) im)
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  im
  re
  (- re)
  (* (- re im) (+ re im))
  (* (- re im) (+ re im))
  (* (- re im) (+ re im))
  (* (- re im) (+ re im))
  (* (- re im) (+ re im))
  (* (- re im) (+ re im))
5.931 * * * [progress]: adding candidates to table
6.288 * * [progress]: iteration 4 / 4
6.288 * * * [progress]: picking best candidate
6.296 * * * * [pick]: Picked  #<alt (λ (re im) (- re))>
6.296 * * * [progress]: localizing error
6.299 * * * [progress]: generating rewritten candidates
6.299 * * * [progress]: generating series expansions
6.299 * * * [progress]: simplifying candidates
6.299 * [simplify]: Simplifying:
  
6.299 * * [simplify]: iteration 0: 0 enodes
6.299 * * [simplify]: iteration complete: 0 enodes
6.299 * * [simplify]: Extracting #0: cost 0 inf + 0
6.299 * [simplify]: Simplified to:
  
6.299 * * * [progress]: adding candidates to table
6.300 * [progress]: [Phase 3 of 3] Extracting.
6.300 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.300 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
6.300 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.344 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
6.384 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.436 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) (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) im)>)
6.474 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.532 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
6.558 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.610 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>)
6.640 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.689 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.744 * * * [regime]: Found split indices: #<option (#s(si 2 41) #s(si 3 214) #s(si 1 255))>
6.745 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.803 * [regimes]: Found splitpoints: (#s(sp 2 re -1.9401195934627838e+70) #s(sp 3 re 1.1493803764036757e+95) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) (sqrt (/ (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))))> #<alt (λ (re im) re)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (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) im)>)
6.803 * [simplify]: Simplifying:
  (if (<= re -1.9401195934627838e+70) (- re) (if (<= re 1.1493803764036757e+95) (sqrt (+ (* re re) (* im im))) re))
6.803 * * [simplify]: iteration 0: 13 enodes
6.804 * * [simplify]: iteration 1: 14 enodes
6.804 * * [simplify]: iteration complete: 14 enodes
6.804 * * [simplify]: Extracting #0: cost 1 inf + 0
6.804 * * [simplify]: Extracting #1: cost 4 inf + 0
6.804 * * [simplify]: Extracting #2: cost 8 inf + 0
6.804 * * [simplify]: Extracting #3: cost 8 inf + 2
6.804 * * [simplify]: Extracting #4: cost 6 inf + 178
6.804 * * [simplify]: Extracting #5: cost 6 inf + 219
6.804 * * [simplify]: Extracting #6: cost 5 inf + 220
6.804 * * [simplify]: Extracting #7: cost 3 inf + 383
6.804 * * [simplify]: Extracting #8: cost 1 inf + 838
6.805 * * [simplify]: Extracting #9: cost 0 inf + 1302
6.805 * [simplify]: Simplified to:
  (if (<= re -1.9401195934627838e+70) (- re) (if (<= re 1.1493803764036757e+95) (sqrt (+ (* im im) (* re re))) re))
8.146 * [regime-testing]: Baseline error score: 31.467784501695146
8.158 * [regime-testing]: Oracle error score: 7.568915503526036
8.184 * [regime-testing]: End program error score: 18.008772484560165