18.112 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.033 * * * [progress]: [2/2] Setting up program.
0.037 * [progress]: [Phase 2 of 3] Improving.
0.037 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.037 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.038 * * [simplify]: iteration 0: 6 enodes
0.040 * * [simplify]: iteration 1: 9 enodes
0.042 * * [simplify]: iteration 2: 10 enodes
0.045 * * [simplify]: iteration complete: 10 enodes
0.045 * * [simplify]: Extracting #0: cost 1 inf + 0
0.045 * * [simplify]: Extracting #1: cost 4 inf + 0
0.045 * * [simplify]: Extracting #2: cost 4 inf + 2
0.045 * * [simplify]: Extracting #3: cost 0 inf + 238
0.045 * [simplify]: Simplified to:
  (hypot re im)
0.052 * * [progress]: iteration 1 / 4
0.052 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (re im) (hypot re im))>
0.059 * * * [progress]: localizing error
0.067 * * * [progress]: generating rewritten candidates
0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.068 * * * [progress]: generating series expansions
0.068 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.068 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.068 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.068 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.068 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.069 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.069 * [taylor]: Taking taylor expansion of (* re re) in im
0.069 * [taylor]: Taking taylor expansion of re in im
0.069 * [backup-simplify]: Simplify re into re
0.069 * [taylor]: Taking taylor expansion of re in im
0.069 * [backup-simplify]: Simplify re into re
0.069 * [taylor]: Taking taylor expansion of (* im im) in im
0.069 * [taylor]: Taking taylor expansion of im in im
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [taylor]: Taking taylor expansion of im in im
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.070 * [backup-simplify]: Simplify (* 0 0) into 0
0.070 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.070 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.071 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.071 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.072 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.072 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.072 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.072 * [taylor]: Taking taylor expansion of (* re re) in re
0.072 * [taylor]: Taking taylor expansion of re in re
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [taylor]: Taking taylor expansion of re in re
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [taylor]: Taking taylor expansion of (* im im) in re
0.072 * [taylor]: Taking taylor expansion of im in re
0.072 * [backup-simplify]: Simplify im into im
0.072 * [taylor]: Taking taylor expansion of im in re
0.072 * [backup-simplify]: Simplify im into im
0.073 * [backup-simplify]: Simplify (* 0 0) into 0
0.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.073 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.073 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.074 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
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 (hypot re im) in re
0.075 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.075 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.075 * [taylor]: Taking taylor expansion of (* re re) in re
0.075 * [taylor]: Taking taylor expansion of re in re
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [taylor]: Taking taylor expansion of re in re
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [taylor]: Taking taylor expansion of (* im im) in re
0.075 * [taylor]: Taking taylor expansion of im in re
0.075 * [backup-simplify]: Simplify im into im
0.075 * [taylor]: Taking taylor expansion of im in re
0.075 * [backup-simplify]: Simplify im into im
0.075 * [backup-simplify]: Simplify (* 0 0) into 0
0.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.076 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.076 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [taylor]: Taking taylor expansion of 0 in im
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.079 * [backup-simplify]: Simplify (+ 1 0) into 1
0.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.079 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.079 * [taylor]: Taking taylor expansion of 1/2 in im
0.079 * [backup-simplify]: Simplify 1/2 into 1/2
0.079 * [taylor]: Taking taylor expansion of im in im
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0
0.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.083 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.083 * [taylor]: Taking taylor expansion of 0 in im
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.085 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.085 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.085 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.085 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.085 * [taylor]: Taking taylor expansion of re in im
0.085 * [backup-simplify]: Simplify re into re
0.085 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.085 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.086 * [taylor]: Taking taylor expansion of re in im
0.086 * [backup-simplify]: Simplify re into re
0.086 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.086 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.086 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.086 * [taylor]: Taking taylor expansion of im in im
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 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.086 * [taylor]: Taking taylor expansion of im in im
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (/ 1 1) into 1
0.087 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (+ 0 1) into 1
0.088 * [backup-simplify]: Simplify (sqrt 1) into 1
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.091 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.092 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.092 * [taylor]: Taking taylor expansion of re in re
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [backup-simplify]: Simplify (/ 1 1) into 1
0.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.092 * [taylor]: Taking taylor expansion of re in re
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.093 * [taylor]: Taking taylor expansion of im in re
0.093 * [backup-simplify]: Simplify im into im
0.093 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.093 * [taylor]: Taking taylor expansion of im in re
0.093 * [backup-simplify]: Simplify im into im
0.093 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.093 * [backup-simplify]: Simplify (* 1 1) into 1
0.101 * [backup-simplify]: Simplify (+ 1 0) into 1
0.102 * [backup-simplify]: Simplify (sqrt 1) into 1
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.105 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.105 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.105 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.105 * [taylor]: Taking taylor expansion of re in re
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.106 * [taylor]: Taking taylor expansion of re in re
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.106 * [taylor]: Taking taylor expansion of im in re
0.107 * [backup-simplify]: Simplify im into im
0.107 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.107 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.107 * [taylor]: Taking taylor expansion of im in re
0.107 * [backup-simplify]: Simplify im into im
0.107 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [backup-simplify]: Simplify (sqrt 1) into 1
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 1 in im
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of 0 in im
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.115 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.115 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.116 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.117 * [taylor]: Taking taylor expansion of 1/2 in im
0.117 * [backup-simplify]: Simplify 1/2 into 1/2
0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.117 * [taylor]: Taking taylor expansion of im in im
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.123 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.123 * [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
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [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 re
0.126 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.126 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.126 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.126 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.126 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.126 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.126 * [taylor]: Taking taylor expansion of -1 in im
0.126 * [backup-simplify]: Simplify -1 into -1
0.126 * [taylor]: Taking taylor expansion of re in im
0.126 * [backup-simplify]: Simplify re into re
0.126 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.126 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.126 * [taylor]: Taking taylor expansion of -1 in im
0.126 * [backup-simplify]: Simplify -1 into -1
0.126 * [taylor]: Taking taylor expansion of re in im
0.126 * [backup-simplify]: Simplify re into re
0.126 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.126 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.126 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.127 * [taylor]: Taking taylor expansion of -1 in im
0.127 * [backup-simplify]: Simplify -1 into -1
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 (/ -1 1) into -1
0.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.127 * [taylor]: Taking taylor expansion of -1 in im
0.127 * [backup-simplify]: Simplify -1 into -1
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
0.128 * [backup-simplify]: Simplify (/ -1 1) into -1
0.128 * [backup-simplify]: Simplify (* -1 -1) into 1
0.128 * [backup-simplify]: Simplify (+ 0 1) into 1
0.129 * [backup-simplify]: Simplify (sqrt 1) into 1
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.132 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.132 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.132 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.132 * [taylor]: Taking taylor expansion of -1 in re
0.132 * [backup-simplify]: Simplify -1 into -1
0.132 * [taylor]: Taking taylor expansion of re in re
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (/ -1 1) into -1
0.133 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.133 * [taylor]: Taking taylor expansion of -1 in re
0.133 * [backup-simplify]: Simplify -1 into -1
0.133 * [taylor]: Taking taylor expansion of re in re
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (/ -1 1) into -1
0.134 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.134 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.134 * [taylor]: Taking taylor expansion of -1 in re
0.134 * [backup-simplify]: Simplify -1 into -1
0.134 * [taylor]: Taking taylor expansion of im in re
0.134 * [backup-simplify]: Simplify im into im
0.134 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.134 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.134 * [taylor]: Taking taylor expansion of -1 in re
0.134 * [backup-simplify]: Simplify -1 into -1
0.134 * [taylor]: Taking taylor expansion of im in re
0.134 * [backup-simplify]: Simplify im into im
0.134 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.134 * [backup-simplify]: Simplify (* -1 -1) into 1
0.135 * [backup-simplify]: Simplify (+ 1 0) into 1
0.135 * [backup-simplify]: Simplify (sqrt 1) into 1
0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.138 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.138 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.139 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.139 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.139 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.139 * [taylor]: Taking taylor expansion of -1 in re
0.139 * [backup-simplify]: Simplify -1 into -1
0.139 * [taylor]: Taking taylor expansion of re in re
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (/ -1 1) into -1
0.139 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.139 * [taylor]: Taking taylor expansion of -1 in re
0.139 * [backup-simplify]: Simplify -1 into -1
0.139 * [taylor]: Taking taylor expansion of re in re
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ -1 1) into -1
0.140 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.140 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.140 * [taylor]: Taking taylor expansion of -1 in re
0.140 * [backup-simplify]: Simplify -1 into -1
0.140 * [taylor]: Taking taylor expansion of im in re
0.140 * [backup-simplify]: Simplify im into im
0.140 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.140 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.140 * [taylor]: Taking taylor expansion of -1 in re
0.140 * [backup-simplify]: Simplify -1 into -1
0.140 * [taylor]: Taking taylor expansion of im in re
0.140 * [backup-simplify]: Simplify im into im
0.140 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.140 * [backup-simplify]: Simplify (* -1 -1) into 1
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (sqrt 1) into 1
0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.145 * [taylor]: Taking taylor expansion of 1 in im
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [taylor]: Taking taylor expansion of 0 in im
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.148 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.150 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.150 * [taylor]: Taking taylor expansion of 1/2 in im
0.150 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.155 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.156 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.156 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in im
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.159 * * * [progress]: simplifying candidates
0.159 * * * * [progress]: [ 1 / 14 ] simplifiying candidate #<alt (λ (re im) (log1p (expm1 (hypot re im))))>
0.159 * * * * [progress]: [ 2 / 14 ] simplifiying candidate #<alt (λ (re im) (expm1 (log1p (hypot re im))))>
0.160 * * * * [progress]: [ 3 / 14 ] simplifiying candidate #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.160 * * * * [progress]: [ 4 / 14 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) 1))>
0.160 * * * * [progress]: [ 5 / 14 ] simplifiying candidate #<alt (λ (re im) (exp (log (hypot re im))))>
0.160 * * * * [progress]: [ 6 / 14 ] simplifiying candidate #<alt (λ (re im) (log (exp (hypot re im))))>
0.160 * * * * [progress]: [ 7 / 14 ] simplifiying candidate #<alt (λ (re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))>
0.160 * * * * [progress]: [ 8 / 14 ] simplifiying candidate #<alt (λ (re im) (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))))>
0.160 * * * * [progress]: [ 9 / 14 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>
0.160 * * * * [progress]: [ 10 / 14 ] simplifiying candidate #<alt (λ (re im) (* 1 (hypot re im)))>
0.160 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #<alt (λ (re im) (posit16->real (real->posit16 (hypot re im))))>
0.160 * * * * [progress]: [ 12 / 14 ] simplifiying candidate #<alt (λ (re im) im)>
0.160 * * * * [progress]: [ 13 / 14 ] simplifiying candidate #<alt (λ (re im) re)>
0.160 * * * * [progress]: [ 14 / 14 ] simplifiying candidate #<alt (λ (re im) (* -1 re))>
0.161 * [simplify]: Simplifying:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (real->posit16 (hypot re im))
  im
  re
  (* -1 re)
0.161 * * [simplify]: iteration 0: 18 enodes
0.167 * * [simplify]: iteration 1: 23 enodes
0.174 * * [simplify]: iteration 2: 26 enodes
0.182 * * [simplify]: iteration 3: 31 enodes
0.192 * * [simplify]: iteration 4: 39 enodes
0.203 * * [simplify]: iteration 5: 51 enodes
0.211 * * [simplify]: iteration 6: 73 enodes
0.222 * * [simplify]: iteration 7: 118 enodes
0.256 * * [simplify]: iteration 8: 362 enodes
0.418 * * [simplify]: iteration 9: 871 enodes
2.116 * * [simplify]: iteration 10: 3925 enodes
3.974 * * [simplify]: iteration complete: 5026 enodes
3.974 * * [simplify]: Extracting #0: cost 13 inf + 0
3.975 * * [simplify]: Extracting #1: cost 143 inf + 2
3.981 * * [simplify]: Extracting #2: cost 853 inf + 811
3.989 * * [simplify]: Extracting #3: cost 883 inf + 6144
4.016 * * [simplify]: Extracting #4: cost 578 inf + 245897
4.099 * * [simplify]: Extracting #5: cost 131 inf + 621177
4.212 * * [simplify]: Extracting #6: cost 2 inf + 740304
4.327 * * [simplify]: Extracting #7: cost 0 inf + 739697
4.465 * [simplify]: Simplified to:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (real->posit16 (hypot re im))
  im
  re
  (- re)
4.466 * * * [progress]: adding candidates to table
4.532 * * [progress]: iteration 2 / 4
4.532 * * * [progress]: picking best candidate
4.534 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>
4.534 * * * [progress]: localizing error
4.543 * * * [progress]: generating rewritten candidates
4.543 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
4.557 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
4.557 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
4.560 * * * [progress]: generating series expansions
4.560 * * * * [progress]: [ 1 / 3 ] generating series at (2)
4.560 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
4.560 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.560 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.560 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.560 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.560 * [taylor]: Taking taylor expansion of (* re re) in im
4.560 * [taylor]: Taking taylor expansion of re in im
4.560 * [backup-simplify]: Simplify re into re
4.560 * [taylor]: Taking taylor expansion of re in im
4.560 * [backup-simplify]: Simplify re into re
4.560 * [taylor]: Taking taylor expansion of (* im im) in im
4.560 * [taylor]: Taking taylor expansion of im in im
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 1 into 1
4.560 * [taylor]: Taking taylor expansion of im in im
4.561 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify 1 into 1
4.561 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.561 * [backup-simplify]: Simplify (* 0 0) into 0
4.561 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.562 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.562 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.562 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.563 * [backup-simplify]: Simplify (+ 0 0) into 0
4.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.563 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.563 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.563 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.563 * [taylor]: Taking taylor expansion of (* re re) in re
4.563 * [taylor]: Taking taylor expansion of re in re
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 1 into 1
4.563 * [taylor]: Taking taylor expansion of re in re
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 1 into 1
4.563 * [taylor]: Taking taylor expansion of (* im im) in re
4.568 * [taylor]: Taking taylor expansion of im in re
4.568 * [backup-simplify]: Simplify im into im
4.568 * [taylor]: Taking taylor expansion of im in re
4.568 * [backup-simplify]: Simplify im into im
4.569 * [backup-simplify]: Simplify (* 0 0) into 0
4.569 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.570 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.570 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.570 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.571 * [backup-simplify]: Simplify (+ 0 0) into 0
4.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.571 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.571 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.571 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.571 * [taylor]: Taking taylor expansion of (* re re) in re
4.571 * [taylor]: Taking taylor expansion of re in re
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [taylor]: Taking taylor expansion of re in re
4.571 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 1 into 1
4.572 * [taylor]: Taking taylor expansion of (* im im) in re
4.572 * [taylor]: Taking taylor expansion of im in re
4.572 * [backup-simplify]: Simplify im into im
4.572 * [taylor]: Taking taylor expansion of im in re
4.572 * [backup-simplify]: Simplify im into im
4.572 * [backup-simplify]: Simplify (* 0 0) into 0
4.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.572 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.572 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.573 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.573 * [backup-simplify]: Simplify (+ 0 0) into 0
4.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.574 * [taylor]: Taking taylor expansion of im in im
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [taylor]: Taking taylor expansion of 0 in im
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.575 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.576 * [backup-simplify]: Simplify (+ 1 0) into 1
4.576 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.576 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.576 * [taylor]: Taking taylor expansion of 1/2 in im
4.576 * [backup-simplify]: Simplify 1/2 into 1/2
4.576 * [taylor]: Taking taylor expansion of im in im
4.576 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.580 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.580 * [backup-simplify]: Simplify (+ 0 0) into 0
4.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.580 * [taylor]: Taking taylor expansion of 0 in im
4.580 * [backup-simplify]: Simplify 0 into 0
4.580 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.582 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
4.582 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.582 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.582 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.582 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.582 * [taylor]: Taking taylor expansion of re in im
4.582 * [backup-simplify]: Simplify re into re
4.582 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.582 * [taylor]: Taking taylor expansion of re in im
4.582 * [backup-simplify]: Simplify re into re
4.582 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.582 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.582 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.582 * [taylor]: Taking taylor expansion of im in im
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify 1 into 1
4.583 * [backup-simplify]: Simplify (/ 1 1) into 1
4.583 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.583 * [taylor]: Taking taylor expansion of im in im
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.583 * [backup-simplify]: Simplify (/ 1 1) into 1
4.584 * [backup-simplify]: Simplify (* 1 1) into 1
4.584 * [backup-simplify]: Simplify (+ 0 1) into 1
4.584 * [backup-simplify]: Simplify (sqrt 1) into 1
4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.587 * [backup-simplify]: Simplify (+ 0 0) into 0
4.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.588 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.588 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.588 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.588 * [taylor]: Taking taylor expansion of re in re
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 1 into 1
4.588 * [backup-simplify]: Simplify (/ 1 1) into 1
4.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.588 * [taylor]: Taking taylor expansion of re in re
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (/ 1 1) into 1
4.589 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.589 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.589 * [taylor]: Taking taylor expansion of im in re
4.589 * [backup-simplify]: Simplify im into im
4.589 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.589 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.589 * [taylor]: Taking taylor expansion of im in re
4.589 * [backup-simplify]: Simplify im into im
4.589 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.590 * [backup-simplify]: Simplify (* 1 1) into 1
4.590 * [backup-simplify]: Simplify (+ 1 0) into 1
4.590 * [backup-simplify]: Simplify (sqrt 1) into 1
4.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.593 * [backup-simplify]: Simplify (+ 0 0) into 0
4.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.594 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.594 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.594 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.594 * [taylor]: Taking taylor expansion of re in re
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 1 into 1
4.594 * [backup-simplify]: Simplify (/ 1 1) into 1
4.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.595 * [taylor]: Taking taylor expansion of re in re
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 1 into 1
4.595 * [backup-simplify]: Simplify (/ 1 1) into 1
4.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.595 * [taylor]: Taking taylor expansion of im in re
4.595 * [backup-simplify]: Simplify im into im
4.595 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.595 * [taylor]: Taking taylor expansion of im in re
4.595 * [backup-simplify]: Simplify im into im
4.595 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.596 * [backup-simplify]: Simplify (* 1 1) into 1
4.596 * [backup-simplify]: Simplify (+ 1 0) into 1
4.597 * [backup-simplify]: Simplify (sqrt 1) into 1
4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.599 * [backup-simplify]: Simplify (+ 0 0) into 0
4.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.600 * [taylor]: Taking taylor expansion of 1 in im
4.600 * [backup-simplify]: Simplify 1 into 1
4.600 * [taylor]: Taking taylor expansion of 0 in im
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 1 into 1
4.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.603 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.603 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.605 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.605 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.605 * [taylor]: Taking taylor expansion of 1/2 in im
4.605 * [backup-simplify]: Simplify 1/2 into 1/2
4.605 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.605 * [taylor]: Taking taylor expansion of im in im
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (* 1 1) into 1
4.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.611 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.612 * [backup-simplify]: Simplify (+ 0 0) into 0
4.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.613 * [taylor]: Taking taylor expansion of 0 in im
4.613 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.615 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
4.615 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.615 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.615 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.615 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.615 * [taylor]: Taking taylor expansion of -1 in im
4.615 * [backup-simplify]: Simplify -1 into -1
4.615 * [taylor]: Taking taylor expansion of re in im
4.615 * [backup-simplify]: Simplify re into re
4.616 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.616 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.616 * [taylor]: Taking taylor expansion of -1 in im
4.616 * [backup-simplify]: Simplify -1 into -1
4.616 * [taylor]: Taking taylor expansion of re in im
4.616 * [backup-simplify]: Simplify re into re
4.616 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.616 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.616 * [taylor]: Taking taylor expansion of -1 in im
4.616 * [backup-simplify]: Simplify -1 into -1
4.616 * [taylor]: Taking taylor expansion of im in im
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 1 into 1
4.616 * [backup-simplify]: Simplify (/ -1 1) into -1
4.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.616 * [taylor]: Taking taylor expansion of -1 in im
4.617 * [backup-simplify]: Simplify -1 into -1
4.617 * [taylor]: Taking taylor expansion of im in im
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 1 into 1
4.617 * [backup-simplify]: Simplify (/ -1 1) into -1
4.617 * [backup-simplify]: Simplify (* -1 -1) into 1
4.618 * [backup-simplify]: Simplify (+ 0 1) into 1
4.618 * [backup-simplify]: Simplify (sqrt 1) into 1
4.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.622 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.623 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.623 * [taylor]: Taking taylor expansion of -1 in re
4.623 * [backup-simplify]: Simplify -1 into -1
4.623 * [taylor]: Taking taylor expansion of re in re
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify (/ -1 1) into -1
4.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.623 * [taylor]: Taking taylor expansion of -1 in re
4.624 * [backup-simplify]: Simplify -1 into -1
4.624 * [taylor]: Taking taylor expansion of re in re
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify 1 into 1
4.624 * [backup-simplify]: Simplify (/ -1 1) into -1
4.624 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.624 * [taylor]: Taking taylor expansion of -1 in re
4.624 * [backup-simplify]: Simplify -1 into -1
4.624 * [taylor]: Taking taylor expansion of im in re
4.624 * [backup-simplify]: Simplify im into im
4.624 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.624 * [taylor]: Taking taylor expansion of -1 in re
4.624 * [backup-simplify]: Simplify -1 into -1
4.624 * [taylor]: Taking taylor expansion of im in re
4.624 * [backup-simplify]: Simplify im into im
4.624 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.625 * [backup-simplify]: Simplify (* -1 -1) into 1
4.625 * [backup-simplify]: Simplify (+ 1 0) into 1
4.626 * [backup-simplify]: Simplify (sqrt 1) into 1
4.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.628 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.628 * [backup-simplify]: Simplify (+ 0 0) into 0
4.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.629 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.629 * [taylor]: Taking taylor expansion of -1 in re
4.629 * [backup-simplify]: Simplify -1 into -1
4.629 * [taylor]: Taking taylor expansion of re in re
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (/ -1 1) into -1
4.630 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.630 * [taylor]: Taking taylor expansion of -1 in re
4.630 * [backup-simplify]: Simplify -1 into -1
4.630 * [taylor]: Taking taylor expansion of re in re
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (/ -1 1) into -1
4.631 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.631 * [taylor]: Taking taylor expansion of -1 in re
4.631 * [backup-simplify]: Simplify -1 into -1
4.631 * [taylor]: Taking taylor expansion of im in re
4.631 * [backup-simplify]: Simplify im into im
4.631 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.631 * [taylor]: Taking taylor expansion of -1 in re
4.631 * [backup-simplify]: Simplify -1 into -1
4.631 * [taylor]: Taking taylor expansion of im in re
4.631 * [backup-simplify]: Simplify im into im
4.631 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.631 * [backup-simplify]: Simplify (* -1 -1) into 1
4.632 * [backup-simplify]: Simplify (+ 1 0) into 1
4.632 * [backup-simplify]: Simplify (sqrt 1) into 1
4.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.635 * [backup-simplify]: Simplify (+ 0 0) into 0
4.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.636 * [taylor]: Taking taylor expansion of 1 in im
4.636 * [backup-simplify]: Simplify 1 into 1
4.636 * [taylor]: Taking taylor expansion of 0 in im
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify 1 into 1
4.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.639 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.639 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.639 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.640 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.640 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.640 * [taylor]: Taking taylor expansion of 1/2 in im
4.640 * [backup-simplify]: Simplify 1/2 into 1/2
4.640 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.640 * [taylor]: Taking taylor expansion of im in im
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.641 * [backup-simplify]: Simplify (* 1 1) into 1
4.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.646 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.647 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.647 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.647 * [backup-simplify]: Simplify (+ 0 0) into 0
4.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.648 * [taylor]: Taking taylor expansion of 0 in im
4.648 * [backup-simplify]: Simplify 0 into 0
4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.650 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
4.650 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
4.650 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.650 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.651 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.651 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.651 * [taylor]: Taking taylor expansion of (* re re) in im
4.651 * [taylor]: Taking taylor expansion of re in im
4.651 * [backup-simplify]: Simplify re into re
4.651 * [taylor]: Taking taylor expansion of re in im
4.651 * [backup-simplify]: Simplify re into re
4.651 * [taylor]: Taking taylor expansion of (* im im) in im
4.651 * [taylor]: Taking taylor expansion of im in im
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify 1 into 1
4.651 * [taylor]: Taking taylor expansion of im in im
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify 1 into 1
4.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.651 * [backup-simplify]: Simplify (* 0 0) into 0
4.652 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.652 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.652 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.652 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.653 * [backup-simplify]: Simplify (+ 0 0) into 0
4.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.653 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.653 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.653 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.653 * [taylor]: Taking taylor expansion of (* re re) in re
4.653 * [taylor]: Taking taylor expansion of re in re
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 1 into 1
4.653 * [taylor]: Taking taylor expansion of re in re
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 1 into 1
4.653 * [taylor]: Taking taylor expansion of (* im im) in re
4.653 * [taylor]: Taking taylor expansion of im in re
4.653 * [backup-simplify]: Simplify im into im
4.653 * [taylor]: Taking taylor expansion of im in re
4.653 * [backup-simplify]: Simplify im into im
4.654 * [backup-simplify]: Simplify (* 0 0) into 0
4.654 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.654 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.654 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.655 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.655 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.655 * [backup-simplify]: Simplify (+ 0 0) into 0
4.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.655 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.656 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.656 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.656 * [taylor]: Taking taylor expansion of (* re re) in re
4.656 * [taylor]: Taking taylor expansion of re in re
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.656 * [taylor]: Taking taylor expansion of re in re
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.656 * [taylor]: Taking taylor expansion of (* im im) in re
4.656 * [taylor]: Taking taylor expansion of im in re
4.656 * [backup-simplify]: Simplify im into im
4.656 * [taylor]: Taking taylor expansion of im in re
4.656 * [backup-simplify]: Simplify im into im
4.656 * [backup-simplify]: Simplify (* 0 0) into 0
4.656 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.656 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.657 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.657 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.657 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.658 * [backup-simplify]: Simplify (+ 0 0) into 0
4.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.658 * [taylor]: Taking taylor expansion of im in im
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [taylor]: Taking taylor expansion of 0 in im
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.660 * [backup-simplify]: Simplify (+ 1 0) into 1
4.661 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.661 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.661 * [taylor]: Taking taylor expansion of 1/2 in im
4.661 * [backup-simplify]: Simplify 1/2 into 1/2
4.661 * [taylor]: Taking taylor expansion of im in im
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.664 * [backup-simplify]: Simplify (+ 0 0) into 0
4.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.664 * [taylor]: Taking taylor expansion of 0 in im
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.665 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
4.665 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.665 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.665 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.665 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.665 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.665 * [taylor]: Taking taylor expansion of re in im
4.665 * [backup-simplify]: Simplify re into re
4.665 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.665 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.665 * [taylor]: Taking taylor expansion of re in im
4.665 * [backup-simplify]: Simplify re into re
4.665 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.665 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.665 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.665 * [taylor]: Taking taylor expansion of im in im
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify 1 into 1
4.665 * [backup-simplify]: Simplify (/ 1 1) into 1
4.665 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.665 * [taylor]: Taking taylor expansion of im in im
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify 1 into 1
4.666 * [backup-simplify]: Simplify (/ 1 1) into 1
4.666 * [backup-simplify]: Simplify (* 1 1) into 1
4.666 * [backup-simplify]: Simplify (+ 0 1) into 1
4.666 * [backup-simplify]: Simplify (sqrt 1) into 1
4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.668 * [backup-simplify]: Simplify (+ 0 0) into 0
4.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.668 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.668 * [taylor]: Taking taylor expansion of re in re
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.669 * [backup-simplify]: Simplify (/ 1 1) into 1
4.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.669 * [taylor]: Taking taylor expansion of re in re
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 1 into 1
4.669 * [backup-simplify]: Simplify (/ 1 1) into 1
4.669 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.669 * [taylor]: Taking taylor expansion of im in re
4.669 * [backup-simplify]: Simplify im into im
4.669 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.669 * [taylor]: Taking taylor expansion of im in re
4.669 * [backup-simplify]: Simplify im into im
4.669 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.670 * [backup-simplify]: Simplify (* 1 1) into 1
4.670 * [backup-simplify]: Simplify (+ 1 0) into 1
4.670 * [backup-simplify]: Simplify (sqrt 1) into 1
4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.672 * [backup-simplify]: Simplify (+ 0 0) into 0
4.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.672 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.672 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.672 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.672 * [taylor]: Taking taylor expansion of re in re
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.673 * [taylor]: Taking taylor expansion of re in re
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify 1 into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.673 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.673 * [taylor]: Taking taylor expansion of im in re
4.673 * [backup-simplify]: Simplify im into im
4.673 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.673 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.673 * [taylor]: Taking taylor expansion of im in re
4.673 * [backup-simplify]: Simplify im into im
4.673 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.673 * [backup-simplify]: Simplify (* 1 1) into 1
4.674 * [backup-simplify]: Simplify (+ 1 0) into 1
4.674 * [backup-simplify]: Simplify (sqrt 1) into 1
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.675 * [backup-simplify]: Simplify (+ 0 0) into 0
4.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.676 * [taylor]: Taking taylor expansion of 1 in im
4.676 * [backup-simplify]: Simplify 1 into 1
4.676 * [taylor]: Taking taylor expansion of 0 in im
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 1 into 1
4.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.679 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.679 * [taylor]: Taking taylor expansion of 1/2 in im
4.679 * [backup-simplify]: Simplify 1/2 into 1/2
4.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.679 * [taylor]: Taking taylor expansion of im in im
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 1 into 1
4.679 * [backup-simplify]: Simplify (* 1 1) into 1
4.679 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.682 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.682 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.683 * [taylor]: Taking taylor expansion of 0 in im
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.684 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
4.684 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.684 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.684 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.684 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.684 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.684 * [taylor]: Taking taylor expansion of -1 in im
4.684 * [backup-simplify]: Simplify -1 into -1
4.684 * [taylor]: Taking taylor expansion of re in im
4.684 * [backup-simplify]: Simplify re into re
4.684 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.684 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.684 * [taylor]: Taking taylor expansion of -1 in im
4.684 * [backup-simplify]: Simplify -1 into -1
4.684 * [taylor]: Taking taylor expansion of re in im
4.684 * [backup-simplify]: Simplify re into re
4.685 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.685 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.685 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.685 * [taylor]: Taking taylor expansion of -1 in im
4.685 * [backup-simplify]: Simplify -1 into -1
4.685 * [taylor]: Taking taylor expansion of im in im
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.685 * [backup-simplify]: Simplify (/ -1 1) into -1
4.685 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.685 * [taylor]: Taking taylor expansion of -1 in im
4.685 * [backup-simplify]: Simplify -1 into -1
4.685 * [taylor]: Taking taylor expansion of im in im
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.685 * [backup-simplify]: Simplify (/ -1 1) into -1
4.685 * [backup-simplify]: Simplify (* -1 -1) into 1
4.686 * [backup-simplify]: Simplify (+ 0 1) into 1
4.686 * [backup-simplify]: Simplify (sqrt 1) into 1
4.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.687 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.688 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.688 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.688 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.688 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.688 * [taylor]: Taking taylor expansion of -1 in re
4.688 * [backup-simplify]: Simplify -1 into -1
4.688 * [taylor]: Taking taylor expansion of re in re
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (/ -1 1) into -1
4.689 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.689 * [taylor]: Taking taylor expansion of -1 in re
4.689 * [backup-simplify]: Simplify -1 into -1
4.689 * [taylor]: Taking taylor expansion of re in re
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify (/ -1 1) into -1
4.689 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.689 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.689 * [taylor]: Taking taylor expansion of -1 in re
4.689 * [backup-simplify]: Simplify -1 into -1
4.689 * [taylor]: Taking taylor expansion of im in re
4.689 * [backup-simplify]: Simplify im into im
4.689 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.689 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.689 * [taylor]: Taking taylor expansion of -1 in re
4.689 * [backup-simplify]: Simplify -1 into -1
4.689 * [taylor]: Taking taylor expansion of im in re
4.689 * [backup-simplify]: Simplify im into im
4.689 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.689 * [backup-simplify]: Simplify (* -1 -1) into 1
4.690 * [backup-simplify]: Simplify (+ 1 0) into 1
4.690 * [backup-simplify]: Simplify (sqrt 1) into 1
4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.691 * [backup-simplify]: Simplify (+ 0 0) into 0
4.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.692 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.692 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.692 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.692 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.692 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.692 * [taylor]: Taking taylor expansion of -1 in re
4.692 * [backup-simplify]: Simplify -1 into -1
4.692 * [taylor]: Taking taylor expansion of re in re
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 1 into 1
4.692 * [backup-simplify]: Simplify (/ -1 1) into -1
4.692 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.692 * [taylor]: Taking taylor expansion of -1 in re
4.692 * [backup-simplify]: Simplify -1 into -1
4.692 * [taylor]: Taking taylor expansion of re in re
4.692 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify 1 into 1
4.693 * [backup-simplify]: Simplify (/ -1 1) into -1
4.693 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.693 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.693 * [taylor]: Taking taylor expansion of -1 in re
4.693 * [backup-simplify]: Simplify -1 into -1
4.693 * [taylor]: Taking taylor expansion of im in re
4.693 * [backup-simplify]: Simplify im into im
4.693 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.693 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.693 * [taylor]: Taking taylor expansion of -1 in re
4.693 * [backup-simplify]: Simplify -1 into -1
4.693 * [taylor]: Taking taylor expansion of im in re
4.693 * [backup-simplify]: Simplify im into im
4.693 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.693 * [backup-simplify]: Simplify (* -1 -1) into 1
4.694 * [backup-simplify]: Simplify (+ 1 0) into 1
4.694 * [backup-simplify]: Simplify (sqrt 1) into 1
4.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.698 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.698 * [backup-simplify]: Simplify (+ 0 0) into 0
4.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.699 * [taylor]: Taking taylor expansion of 1 in im
4.699 * [backup-simplify]: Simplify 1 into 1
4.699 * [taylor]: Taking taylor expansion of 0 in im
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.702 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.702 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.704 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.704 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.704 * [taylor]: Taking taylor expansion of 1/2 in im
4.704 * [backup-simplify]: Simplify 1/2 into 1/2
4.704 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.704 * [taylor]: Taking taylor expansion of im in im
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 1 into 1
4.704 * [backup-simplify]: Simplify (* 1 1) into 1
4.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.710 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.710 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.710 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.710 * [backup-simplify]: Simplify (+ 0 0) into 0
4.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.711 * [taylor]: Taking taylor expansion of 0 in im
4.711 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.713 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
4.714 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
4.714 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
4.714 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.714 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.714 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.714 * [taylor]: Taking taylor expansion of (* re re) in im
4.714 * [taylor]: Taking taylor expansion of re in im
4.714 * [backup-simplify]: Simplify re into re
4.714 * [taylor]: Taking taylor expansion of re in im
4.714 * [backup-simplify]: Simplify re into re
4.714 * [taylor]: Taking taylor expansion of (* im im) in im
4.714 * [taylor]: Taking taylor expansion of im in im
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [taylor]: Taking taylor expansion of im in im
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.715 * [backup-simplify]: Simplify (* 0 0) into 0
4.715 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.715 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.715 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.716 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.716 * [backup-simplify]: Simplify (+ 0 0) into 0
4.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.716 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.716 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.716 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.716 * [taylor]: Taking taylor expansion of (* re re) in re
4.716 * [taylor]: Taking taylor expansion of re in re
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 1 into 1
4.717 * [taylor]: Taking taylor expansion of re in re
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 1 into 1
4.717 * [taylor]: Taking taylor expansion of (* im im) in re
4.717 * [taylor]: Taking taylor expansion of im in re
4.717 * [backup-simplify]: Simplify im into im
4.717 * [taylor]: Taking taylor expansion of im in re
4.717 * [backup-simplify]: Simplify im into im
4.717 * [backup-simplify]: Simplify (* 0 0) into 0
4.717 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.717 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.717 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.718 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.718 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.719 * [backup-simplify]: Simplify (+ 0 0) into 0
4.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.719 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.719 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.719 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.719 * [taylor]: Taking taylor expansion of (* re re) in re
4.719 * [taylor]: Taking taylor expansion of re in re
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 1 into 1
4.719 * [taylor]: Taking taylor expansion of re in re
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify 1 into 1
4.720 * [taylor]: Taking taylor expansion of (* im im) in re
4.720 * [taylor]: Taking taylor expansion of im in re
4.720 * [backup-simplify]: Simplify im into im
4.720 * [taylor]: Taking taylor expansion of im in re
4.720 * [backup-simplify]: Simplify im into im
4.720 * [backup-simplify]: Simplify (* 0 0) into 0
4.720 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.720 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.721 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.722 * [backup-simplify]: Simplify (+ 0 0) into 0
4.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.722 * [taylor]: Taking taylor expansion of im in im
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [taylor]: Taking taylor expansion of 0 in im
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.724 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.724 * [backup-simplify]: Simplify (+ 1 0) into 1
4.725 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.725 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.725 * [taylor]: Taking taylor expansion of 1/2 in im
4.725 * [backup-simplify]: Simplify 1/2 into 1/2
4.725 * [taylor]: Taking taylor expansion of im in im
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.729 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.729 * [backup-simplify]: Simplify (+ 0 0) into 0
4.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.729 * [taylor]: Taking taylor expansion of 0 in im
4.729 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.731 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
4.731 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
4.731 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.731 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.731 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.731 * [taylor]: Taking taylor expansion of re in im
4.731 * [backup-simplify]: Simplify re into re
4.731 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.732 * [taylor]: Taking taylor expansion of re in im
4.732 * [backup-simplify]: Simplify re into re
4.732 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.732 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.732 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.732 * [taylor]: Taking taylor expansion of im in im
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.732 * [backup-simplify]: Simplify (/ 1 1) into 1
4.732 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.732 * [taylor]: Taking taylor expansion of im in im
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (/ 1 1) into 1
4.733 * [backup-simplify]: Simplify (* 1 1) into 1
4.734 * [backup-simplify]: Simplify (+ 0 1) into 1
4.734 * [backup-simplify]: Simplify (sqrt 1) into 1
4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.737 * [backup-simplify]: Simplify (+ 0 0) into 0
4.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.738 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.738 * [taylor]: Taking taylor expansion of re in re
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 1 into 1
4.738 * [backup-simplify]: Simplify (/ 1 1) into 1
4.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.738 * [taylor]: Taking taylor expansion of re in re
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 1 into 1
4.739 * [backup-simplify]: Simplify (/ 1 1) into 1
4.739 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.739 * [taylor]: Taking taylor expansion of im in re
4.739 * [backup-simplify]: Simplify im into im
4.739 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.739 * [taylor]: Taking taylor expansion of im in re
4.739 * [backup-simplify]: Simplify im into im
4.739 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.739 * [backup-simplify]: Simplify (* 1 1) into 1
4.739 * [backup-simplify]: Simplify (+ 1 0) into 1
4.740 * [backup-simplify]: Simplify (sqrt 1) into 1
4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.741 * [backup-simplify]: Simplify (+ 0 0) into 0
4.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.742 * [taylor]: Taking taylor expansion of re in re
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 1 into 1
4.742 * [backup-simplify]: Simplify (/ 1 1) into 1
4.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.742 * [taylor]: Taking taylor expansion of re in re
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 1 into 1
4.743 * [backup-simplify]: Simplify (/ 1 1) into 1
4.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.743 * [taylor]: Taking taylor expansion of im in re
4.743 * [backup-simplify]: Simplify im into im
4.743 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.743 * [taylor]: Taking taylor expansion of im in re
4.743 * [backup-simplify]: Simplify im into im
4.743 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.743 * [backup-simplify]: Simplify (* 1 1) into 1
4.744 * [backup-simplify]: Simplify (+ 1 0) into 1
4.744 * [backup-simplify]: Simplify (sqrt 1) into 1
4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.746 * [taylor]: Taking taylor expansion of 1 in im
4.746 * [backup-simplify]: Simplify 1 into 1
4.746 * [taylor]: Taking taylor expansion of 0 in im
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.748 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
4.748 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.749 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.749 * [taylor]: Taking taylor expansion of 1/2 in im
4.749 * [backup-simplify]: Simplify 1/2 into 1/2
4.749 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.749 * [taylor]: Taking taylor expansion of im in im
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 1 into 1
4.749 * [backup-simplify]: Simplify (* 1 1) into 1
4.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.752 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
4.752 * [backup-simplify]: Simplify (+ 0 0) into 0
4.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.753 * [taylor]: Taking taylor expansion of 0 in im
4.753 * [backup-simplify]: Simplify 0 into 0
4.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.755 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
4.755 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
4.755 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
4.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.755 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
4.755 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
4.755 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.755 * [taylor]: Taking taylor expansion of -1 in im
4.755 * [backup-simplify]: Simplify -1 into -1
4.755 * [taylor]: Taking taylor expansion of re in im
4.755 * [backup-simplify]: Simplify re into re
4.755 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.755 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.755 * [taylor]: Taking taylor expansion of -1 in im
4.755 * [backup-simplify]: Simplify -1 into -1
4.755 * [taylor]: Taking taylor expansion of re in im
4.755 * [backup-simplify]: Simplify re into re
4.755 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.755 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
4.755 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.755 * [taylor]: Taking taylor expansion of -1 in im
4.755 * [backup-simplify]: Simplify -1 into -1
4.755 * [taylor]: Taking taylor expansion of im in im
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 1 into 1
4.756 * [backup-simplify]: Simplify (/ -1 1) into -1
4.756 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.756 * [taylor]: Taking taylor expansion of -1 in im
4.756 * [backup-simplify]: Simplify -1 into -1
4.756 * [taylor]: Taking taylor expansion of im in im
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify 1 into 1
4.756 * [backup-simplify]: Simplify (/ -1 1) into -1
4.756 * [backup-simplify]: Simplify (* -1 -1) into 1
4.756 * [backup-simplify]: Simplify (+ 0 1) into 1
4.757 * [backup-simplify]: Simplify (sqrt 1) into 1
4.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.758 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.758 * [backup-simplify]: Simplify (+ 0 0) into 0
4.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.759 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.759 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.759 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.759 * [taylor]: Taking taylor expansion of -1 in re
4.759 * [backup-simplify]: Simplify -1 into -1
4.759 * [taylor]: Taking taylor expansion of re in re
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.759 * [backup-simplify]: Simplify (/ -1 1) into -1
4.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.759 * [taylor]: Taking taylor expansion of -1 in re
4.759 * [backup-simplify]: Simplify -1 into -1
4.759 * [taylor]: Taking taylor expansion of re in re
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.760 * [backup-simplify]: Simplify (/ -1 1) into -1
4.760 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.760 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.760 * [taylor]: Taking taylor expansion of -1 in re
4.760 * [backup-simplify]: Simplify -1 into -1
4.760 * [taylor]: Taking taylor expansion of im in re
4.760 * [backup-simplify]: Simplify im into im
4.760 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.760 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.760 * [taylor]: Taking taylor expansion of -1 in re
4.760 * [backup-simplify]: Simplify -1 into -1
4.760 * [taylor]: Taking taylor expansion of im in re
4.760 * [backup-simplify]: Simplify im into im
4.760 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.760 * [backup-simplify]: Simplify (* -1 -1) into 1
4.760 * [backup-simplify]: Simplify (+ 1 0) into 1
4.761 * [backup-simplify]: Simplify (sqrt 1) into 1
4.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.763 * [backup-simplify]: Simplify (+ 0 0) into 0
4.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.763 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
4.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
4.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
4.763 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
4.763 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.763 * [taylor]: Taking taylor expansion of -1 in re
4.763 * [backup-simplify]: Simplify -1 into -1
4.763 * [taylor]: Taking taylor expansion of re in re
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify 1 into 1
4.764 * [backup-simplify]: Simplify (/ -1 1) into -1
4.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.764 * [taylor]: Taking taylor expansion of -1 in re
4.764 * [backup-simplify]: Simplify -1 into -1
4.764 * [taylor]: Taking taylor expansion of re in re
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 1 into 1
4.764 * [backup-simplify]: Simplify (/ -1 1) into -1
4.764 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
4.764 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.764 * [taylor]: Taking taylor expansion of -1 in re
4.764 * [backup-simplify]: Simplify -1 into -1
4.764 * [taylor]: Taking taylor expansion of im in re
4.764 * [backup-simplify]: Simplify im into im
4.764 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.764 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.764 * [taylor]: Taking taylor expansion of -1 in re
4.764 * [backup-simplify]: Simplify -1 into -1
4.764 * [taylor]: Taking taylor expansion of im in re
4.764 * [backup-simplify]: Simplify im into im
4.764 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.764 * [backup-simplify]: Simplify (* -1 -1) into 1
4.765 * [backup-simplify]: Simplify (+ 1 0) into 1
4.765 * [backup-simplify]: Simplify (sqrt 1) into 1
4.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.766 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.766 * [backup-simplify]: Simplify (+ 0 0) into 0
4.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.767 * [taylor]: Taking taylor expansion of 1 in im
4.767 * [backup-simplify]: Simplify 1 into 1
4.767 * [taylor]: Taking taylor expansion of 0 in im
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 1 into 1
4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.769 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.769 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
4.769 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.770 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.770 * [taylor]: Taking taylor expansion of 1/2 in im
4.770 * [backup-simplify]: Simplify 1/2 into 1/2
4.770 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.770 * [taylor]: Taking taylor expansion of im in im
4.770 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify 1 into 1
4.770 * [backup-simplify]: Simplify (* 1 1) into 1
4.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.776 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.776 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.776 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
4.776 * [backup-simplify]: Simplify (+ 0 0) into 0
4.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.777 * [taylor]: Taking taylor expansion of 0 in im
4.777 * [backup-simplify]: Simplify 0 into 0
4.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.780 * * * [progress]: simplifying candidates
4.780 * * * * [progress]: [ 1 / 83 ] simplifiying candidate #<alt (λ (re im) (log1p (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.780 * * * * [progress]: [ 2 / 83 ] simplifiying candidate #<alt (λ (re im) (expm1 (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.780 * * * * [progress]: [ 3 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) (+ 1/2 1/2)))>
4.780 * * * * [progress]: [ 4 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) (+ 1/2 (/ 1 2))))>
4.780 * * * * [progress]: [ 5 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (sqrt (hypot re im)) (+ 1 1)))>
4.780 * * * * [progress]: [ 6 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) (+ (/ 1 2) 1/2)))>
4.780 * * * * [progress]: [ 7 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) (+ (/ 1 2) (/ 1 2))))>
4.780 * * * * [progress]: [ 8 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (* (hypot re im) (hypot re im)) 1/2))>
4.780 * * * * [progress]: [ 9 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1))>
4.780 * * * * [progress]: [ 10 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (* (hypot re im) (hypot re im)) (/ 1 2)))>
4.780 * * * * [progress]: [ 11 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (sqrt (hypot re im)) 2))>
4.780 * * * * [progress]: [ 12 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (sqrt (hypot re im)) (+ 1 1)))>
4.780 * * * * [progress]: [ 13 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1))>
4.781 * * * * [progress]: [ 14 / 83 ] simplifiying candidate #<alt (λ (re im) (exp (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 15 / 83 ] simplifiying candidate #<alt (λ (re im) (exp (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 16 / 83 ] simplifiying candidate #<alt (λ (re im) (log (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 17 / 83 ] simplifiying candidate #<alt (λ (re im) (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 18 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 19 / 83 ] simplifiying candidate #<alt (λ (re im) (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 20 / 83 ] simplifiying candidate #<alt (λ (re im) (sqrt (* (hypot re im) (hypot re im))))>
4.781 * * * * [progress]: [ 21 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 22 / 83 ] simplifiying candidate #<alt (λ (re im) (hypot re im))>
4.781 * * * * [progress]: [ 23 / 83 ] simplifiying candidate #<alt (λ (re im) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))))>
4.781 * * * * [progress]: [ 24 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 25 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))))>
4.781 * * * * [progress]: [ 26 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 27 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.781 * * * * [progress]: [ 28 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))>
4.781 * * * * [progress]: [ 29 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.782 * * * * [progress]: [ 30 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.782 * * * * [progress]: [ 31 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))>
4.782 * * * * [progress]: [ 32 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.782 * * * * [progress]: [ 33 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.782 * * * * [progress]: [ 34 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.782 * * * * [progress]: [ 35 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))>
4.782 * * * * [progress]: [ 36 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) (* 2 1/2)))>
4.782 * * * * [progress]: [ 37 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (sqrt (hypot re im)) (* 2 1)))>
4.782 * * * * [progress]: [ 38 / 83 ] simplifiying candidate #<alt (λ (re im) (pow (hypot re im) (* 2 (/ 1 2))))>
4.782 * * * * [progress]: [ 39 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))))>
4.782 * * * * [progress]: [ 40 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))))>
4.782 * * * * [progress]: [ 41 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))>
4.782 * * * * [progress]: [ 42 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (hypot re im)) (sqrt 1)) (sqrt (hypot re im))))>
4.782 * * * * [progress]: [ 43 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))>
4.782 * * * * [progress]: [ 44 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (hypot re im)) 1) (sqrt (hypot re im))))>
4.783 * * * * [progress]: [ 45 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))))>
4.783 * * * * [progress]: [ 46 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))>
4.783 * * * * [progress]: [ 47 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))>
4.783 * * * * [progress]: [ 48 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))>
4.783 * * * * [progress]: [ 49 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))>
4.783 * * * * [progress]: [ 50 / 83 ] simplifiying candidate #<alt (λ (re im) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))))>
4.783 * * * * [progress]: [ 51 / 83 ] simplifiying candidate #<alt (λ (re im) (posit16->real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.783 * * * * [progress]: [ 52 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>
4.783 * * * * [progress]: [ 53 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (log1p (expm1 (hypot re im))))))>
4.783 * * * * [progress]: [ 54 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (expm1 (log1p (hypot re im))))))>
4.783 * * * * [progress]: [ 55 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (sqrt (+ (* re re) (* im im))))))>
4.783 * * * * [progress]: [ 56 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (pow (hypot re im) 1))))>
4.783 * * * * [progress]: [ 57 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))))>
4.783 * * * * [progress]: [ 58 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (log (exp (hypot re im))))))>
4.783 * * * * [progress]: [ 59 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))>
4.783 * * * * [progress]: [ 60 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))))))>
4.784 * * * * [progress]: [ 61 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))))>
4.784 * * * * [progress]: [ 62 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))>
4.784 * * * * [progress]: [ 63 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (posit16->real (real->posit16 (hypot re im))))))>
4.784 * * * * [progress]: [ 64 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (log1p (expm1 (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 65 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (expm1 (log1p (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 66 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 67 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (pow (hypot re im) 1)) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 68 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (exp (log (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 69 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (log (exp (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 70 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 71 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 72 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 73 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* 1 (hypot re im))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 74 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (posit16->real (real->posit16 (hypot re im)))) (sqrt (hypot re im))))>
4.784 * * * * [progress]: [ 75 / 83 ] simplifiying candidate #<alt (λ (re im) im)>
4.784 * * * * [progress]: [ 76 / 83 ] simplifiying candidate #<alt (λ (re im) re)>
4.784 * * * * [progress]: [ 77 / 83 ] simplifiying candidate #<alt (λ (re im) (* -1 re))>
4.784 * * * * [progress]: [ 78 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt im)))>
4.785 * * * * [progress]: [ 79 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt re)))>
4.785 * * * * [progress]: [ 80 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (* -1 re))))>
4.785 * * * * [progress]: [ 81 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt im) (sqrt (hypot re im))))>
4.785 * * * * [progress]: [ 82 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt re) (sqrt (hypot re im))))>
4.785 * * * * [progress]: [ 83 / 83 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* -1 re)) (sqrt (hypot re im))))>
4.786 * [simplify]: Simplifying:
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (real->posit16 (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (real->posit16 (hypot re im))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
4.787 * * [simplify]: iteration 0: 65 enodes
4.819 * * [simplify]: iteration 1: 121 enodes
4.873 * * [simplify]: iteration 2: 237 enodes
4.993 * * [simplify]: iteration 3: 615 enodes
6.234 * * [simplify]: iteration 4: 3818 enodes
8.103 * * [simplify]: iteration complete: 5000 enodes
8.103 * * [simplify]: Extracting #0: cost 23 inf + 0
8.105 * * [simplify]: Extracting #1: cost 309 inf + 4
8.112 * * [simplify]: Extracting #2: cost 727 inf + 1759
8.123 * * [simplify]: Extracting #3: cost 687 inf + 9975
8.163 * * [simplify]: Extracting #4: cost 343 inf + 97395
8.254 * * [simplify]: Extracting #5: cost 42 inf + 186317
8.332 * * [simplify]: Extracting #6: cost 0 inf + 198038
8.385 * [simplify]: Simplified to:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (* (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (sqrt (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (sqrt (hypot re im))
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (hypot re im)
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (hypot re im)
  (real->posit16 (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (real->posit16 (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (real->posit16 (hypot re im))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
8.387 * * * [progress]: adding candidates to table
8.643 * [progress]: [Phase 3 of 3] Extracting.
8.643 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))> #<alt (λ (re im) (hypot re im))>)
8.644 * * * [regime-changes]: Trying 2 branch expressions: (im re)
8.644 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))> #<alt (λ (re im) (hypot re im))>)
8.685 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))> #<alt (λ (re im) (hypot re im))>)
8.724 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
8.724 * [simplify]: Simplifying:
  (hypot re im)
8.724 * * [simplify]: iteration 0: 3 enodes
8.725 * * [simplify]: iteration complete: 3 enodes
8.725 * * [simplify]: Extracting #0: cost 1 inf + 0
8.725 * * [simplify]: Extracting #1: cost 3 inf + 0
8.725 * * [simplify]: Extracting #2: cost 1 inf + 2
8.725 * * [simplify]: Extracting #3: cost 0 inf + 59
8.725 * [simplify]: Simplified to:
  (hypot re im)
9.897 * [regime-testing]: Baseline error score: 0.004375546943367921
9.903 * [regime-testing]: Oracle error score: 0.0030003750468808603
9.912 * [regime-testing]: End program error score: 0.004375546943367921