2.958 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.053 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.054 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.055 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.056 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.057 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.058 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.077 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.095 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.107 * * * [progress]: generating series expansions 0.107 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.108 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of 1 in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of 1/2 in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.112 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.112 * [taylor]: Taking taylor expansion of re in im 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.114 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.114 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of -1 in im 0.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.116 * [taylor]: Taking taylor expansion of 1/2 in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.118 * [taylor]: Taking taylor expansion of 1/2 in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of 2 in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.120 * [taylor]: Taking taylor expansion of 1/2 in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.121 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.121 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.121 * [taylor]: Taking taylor expansion of 2.0 in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.121 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.122 * [taylor]: Taking taylor expansion of 2.0 in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.123 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.123 * [taylor]: Taking taylor expansion of 2.0 in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.123 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.123 * [taylor]: Taking taylor expansion of 2.0 in im 0.123 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.124 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.124 * [taylor]: Taking taylor expansion of 1/2 in im 0.124 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.124 * [taylor]: Taking taylor expansion of 2.0 in im 0.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.126 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.126 * [taylor]: Taking taylor expansion of 2.0 in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.126 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.126 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.126 * [taylor]: Taking taylor expansion of 2.0 in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.127 * [taylor]: Taking taylor expansion of 2.0 in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.128 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.128 * [taylor]: Taking taylor expansion of +nan.0 in im 0.128 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.129 * [taylor]: Taking taylor expansion of 2.0 in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.129 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.130 * [taylor]: Taking taylor expansion of +nan.0 in im 0.130 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.130 * [taylor]: Taking taylor expansion of 2.0 in im 0.130 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.134 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.134 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.134 * [taylor]: Taking taylor expansion of +nan.0 in im 0.134 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.134 * [taylor]: Taking taylor expansion of 2.0 in im 0.134 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.134 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.134 * [taylor]: Taking taylor expansion of +nan.0 in im 0.134 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.134 * [taylor]: Taking taylor expansion of 2.0 in im 0.134 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.135 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.135 * [taylor]: Taking taylor expansion of 2.0 in im 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.136 * [taylor]: Taking taylor expansion of 2.0 in re 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.137 * [taylor]: Taking taylor expansion of 2.0 in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.137 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.137 * [taylor]: Taking taylor expansion of +nan.0 in im 0.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.137 * [taylor]: Taking taylor expansion of 2.0 in im 0.138 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.138 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.138 * [taylor]: Taking taylor expansion of +nan.0 in im 0.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.138 * [taylor]: Taking taylor expansion of 2.0 in im 0.138 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.139 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.139 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.139 * [taylor]: Taking taylor expansion of +nan.0 in im 0.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.139 * [taylor]: Taking taylor expansion of 2.0 in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.139 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.139 * [taylor]: Taking taylor expansion of +nan.0 in im 0.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.139 * [taylor]: Taking taylor expansion of 2.0 in im 0.140 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.140 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.140 * [taylor]: Taking taylor expansion of +nan.0 in im 0.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.140 * [taylor]: Taking taylor expansion of 2.0 in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.140 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.140 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.140 * [taylor]: Taking taylor expansion of +nan.0 in im 0.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.140 * [taylor]: Taking taylor expansion of 2.0 in im 0.141 * * * [progress]: simplifying candidates 0.142 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.146 * * [simplify]: iteration 0 : 232 enodes (cost 382 ) 0.150 * * [simplify]: iteration 1 : 768 enodes (cost 356 ) 0.162 * * [simplify]: iteration 2 : 2506 enodes (cost 346 ) 0.212 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.214 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0.214 * * * [progress]: adding candidates to table 0.588 * * [progress]: iteration 2 / 4 0.588 * * * [progress]: picking best candidate 0.628 * * * * [pick]: Picked # 0.628 * * * [progress]: localizing error 0.641 * * * [progress]: generating rewritten candidates 0.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.665 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.680 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.696 * * * [progress]: generating series expansions 0.696 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.696 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.696 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.696 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.697 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.697 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.697 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of 0 in im 0.697 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.697 * [taylor]: Taking taylor expansion of 1/2 in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.698 * [taylor]: Taking taylor expansion of 0 in im 0.698 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.698 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.698 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.698 * [taylor]: Taking taylor expansion of re in im 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of 1 in im 0.699 * [taylor]: Taking taylor expansion of 0 in im 0.699 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.699 * [taylor]: Taking taylor expansion of 1/2 in im 0.699 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.700 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.700 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.700 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.700 * [taylor]: Taking taylor expansion of re in im 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.700 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.700 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.701 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of 1 in im 0.701 * [taylor]: Taking taylor expansion of 0 in im 0.701 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.701 * [taylor]: Taking taylor expansion of 1/2 in im 0.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of 0 in im 0.702 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.702 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 0.702 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.702 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.702 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.703 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.703 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.703 * [taylor]: Taking taylor expansion of re in im 0.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.703 * [taylor]: Taking taylor expansion of re in im 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.703 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.703 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.703 * [taylor]: Taking taylor expansion of re in im 0.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 0.703 * [taylor]: Taking taylor expansion of 1/2 in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of 0 in re 0.704 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 0.704 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 0.704 * [taylor]: Taking taylor expansion of 1/8 in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.704 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.705 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 0.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.705 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.705 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.706 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.706 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.706 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.706 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.706 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.706 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of 1 in re 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.707 * [taylor]: Taking taylor expansion of re in re 0.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.707 * [taylor]: Taking taylor expansion of 1/2 in re 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.707 * [taylor]: Taking taylor expansion of re in re 0.708 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 0.708 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 0.708 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.709 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.709 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.709 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.709 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.709 * [taylor]: Taking taylor expansion of re in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.709 * [taylor]: Taking taylor expansion of re in im 0.709 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.710 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.710 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.710 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.710 * [taylor]: Taking taylor expansion of re in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.710 * [taylor]: Taking taylor expansion of re in im 0.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.710 * [taylor]: Taking taylor expansion of 1 in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.711 * [taylor]: Taking taylor expansion of 1/2 in re 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.711 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of 0 in re 0.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.712 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 0.713 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.713 * [taylor]: Taking taylor expansion of 2.0 in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.713 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.713 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.713 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.713 * [taylor]: Taking taylor expansion of 2.0 in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.713 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.714 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.714 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.714 * [taylor]: Taking taylor expansion of 2.0 in im 0.714 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.714 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.714 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.714 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.714 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.714 * [taylor]: Taking taylor expansion of im in im 0.715 * [taylor]: Taking taylor expansion of 0 in re 0.715 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.715 * [taylor]: Taking taylor expansion of 2.0 in re 0.715 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.715 * [taylor]: Taking taylor expansion of 1/2 in re 0.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of 0 in re 0.718 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 0.718 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 0.718 * [taylor]: Taking taylor expansion of 1/16 in re 0.718 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 0.718 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 0.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.718 * [taylor]: Taking taylor expansion of 2.0 in re 0.718 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.718 * [taylor]: Taking taylor expansion of 1/2 in re 0.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 0.718 * [taylor]: Taking taylor expansion of (pow re 5) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.721 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 0.721 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.721 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.721 * [taylor]: Taking taylor expansion of 2.0 in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.722 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.722 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.722 * [taylor]: Taking taylor expansion of 2.0 in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.722 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.722 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.722 * [taylor]: Taking taylor expansion of 2.0 in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.723 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [taylor]: Taking taylor expansion of 0 in re 0.723 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.723 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.723 * [taylor]: Taking taylor expansion of +nan.0 in re 0.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.723 * [taylor]: Taking taylor expansion of 2.0 in re 0.724 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.724 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.724 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.724 * [taylor]: Taking taylor expansion of +nan.0 in re 0.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.724 * [taylor]: Taking taylor expansion of 2.0 in re 0.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.724 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.724 * [taylor]: Taking taylor expansion of +nan.0 in re 0.724 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.724 * [taylor]: Taking taylor expansion of 2.0 in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.725 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.725 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.726 * [taylor]: Taking taylor expansion of +nan.0 in re 0.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.726 * [taylor]: Taking taylor expansion of 2.0 in re 0.726 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.726 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.726 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.726 * [taylor]: Taking taylor expansion of +nan.0 in re 0.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.726 * [taylor]: Taking taylor expansion of 2.0 in re 0.726 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.726 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.726 * [taylor]: Taking taylor expansion of +nan.0 in re 0.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.726 * [taylor]: Taking taylor expansion of 2.0 in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.727 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 0.727 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.727 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.727 * [taylor]: Taking taylor expansion of 2.0 in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.727 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.727 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.727 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.727 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.728 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.728 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.728 * [taylor]: Taking taylor expansion of 2.0 in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.728 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.728 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.729 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.729 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.729 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of 0 in re 0.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.730 * [taylor]: Taking taylor expansion of +nan.0 in re 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.730 * [taylor]: Taking taylor expansion of 2.0 in re 0.730 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.730 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.730 * [taylor]: Taking taylor expansion of +nan.0 in re 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.730 * [taylor]: Taking taylor expansion of 2.0 in re 0.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.730 * [taylor]: Taking taylor expansion of +nan.0 in re 0.730 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.730 * [taylor]: Taking taylor expansion of 2.0 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.732 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.732 * [taylor]: Taking taylor expansion of +nan.0 in re 0.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.732 * [taylor]: Taking taylor expansion of 2.0 in re 0.732 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.732 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.732 * [taylor]: Taking taylor expansion of +nan.0 in re 0.732 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.732 * [taylor]: Taking taylor expansion of 2.0 in re 0.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.732 * [taylor]: Taking taylor expansion of +nan.0 in re 0.732 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.732 * [taylor]: Taking taylor expansion of 2.0 in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.733 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.733 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.733 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.733 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.733 * [taylor]: Taking taylor expansion of im in im 0.734 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.734 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.734 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of im in im 0.735 * [taylor]: Taking taylor expansion of 1 in im 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.735 * [taylor]: Taking taylor expansion of 1/2 in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [taylor]: Taking taylor expansion of 0 in im 0.735 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.735 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.735 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of 2 in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.737 * [taylor]: Taking taylor expansion of 1/2 in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of 0 in im 0.738 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.738 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.739 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of 0 in im 0.739 * [taylor]: Taking taylor expansion of 0 in im 0.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.739 * [taylor]: Taking taylor expansion of 1/2 in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.740 * * * [progress]: simplifying candidates 0.741 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (log im) 2) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (* (log im) 2) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (log (pow im 2)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (- (pow im 2)) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (cbrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (cbrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (sqrt im) 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (sqrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow 1 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow 1 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow 1 2) 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow 1 2) 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (pow im 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im (/ 2 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (pow im 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) 1) (/ (pow im 2) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (cbrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (sqrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im (/ 2 2))) (/ (pow im 2) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (log (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 0.748 * * [simplify]: iteration 0 : 417 enodes (cost 1094 ) 0.754 * * [simplify]: iteration 1 : 1519 enodes (cost 985 ) 0.781 * * [simplify]: iteration 2 : 5002 enodes (cost 975 ) 0.786 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)) (* (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (- (pow im 2)) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (cbrt im) 4) (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)) (/ (pow (cbrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (cbrt im) 4) (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1)) (/ (pow (cbrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (pow (cbrt im) 4) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (pow (cbrt im) 4) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) 1 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (pow im 2)) (cbrt (pow im 2))) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (pow im 2)) (cbrt (pow im 2))) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) 1 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (pow im 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (pow im 2) (pow im 2) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (cbrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (fabs im)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (pow im 2) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ im (/ (+ (* re re) (- (pow im 2) (* re re))) im)) (log (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (pow (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) 3) (sqrt 2.0) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (+ (pow im 2) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (- (+ re im)) (* +nan.0 (+ (- (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (* +nan.0 (+ (- (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2))))) (+ re im) (* 2 re) 0 0.786 * * * [progress]: adding candidates to table 1.601 * * [progress]: iteration 3 / 4 1.601 * * * [progress]: picking best candidate 1.658 * * * * [pick]: Picked # 1.658 * * * [progress]: localizing error 1.670 * * * [progress]: generating rewritten candidates 1.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.707 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2) 1.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.766 * * * [progress]: generating series expansions 1.766 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 1.766 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.766 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.766 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.766 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.766 * [taylor]: Taking taylor expansion of re in im 1.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.766 * [taylor]: Taking taylor expansion of im in im 1.767 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.767 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.767 * [taylor]: Taking taylor expansion of re in re 1.767 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.767 * [taylor]: Taking taylor expansion of im in re 1.767 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.767 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.767 * [taylor]: Taking taylor expansion of re in re 1.767 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.767 * [taylor]: Taking taylor expansion of im in re 1.767 * [taylor]: Taking taylor expansion of im in im 1.767 * [taylor]: Taking taylor expansion of 0 in im 1.768 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.768 * [taylor]: Taking taylor expansion of 1/2 in im 1.768 * [taylor]: Taking taylor expansion of im in im 1.768 * [taylor]: Taking taylor expansion of 0 in im 1.768 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.768 * [taylor]: Taking taylor expansion of im in im 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.768 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.768 * [taylor]: Taking taylor expansion of re in im 1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.769 * [taylor]: Taking taylor expansion of im in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.769 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.769 * [taylor]: Taking taylor expansion of im in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.769 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of 1 in im 1.769 * [taylor]: Taking taylor expansion of 0 in im 1.769 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.769 * [taylor]: Taking taylor expansion of 1/2 in im 1.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.769 * [taylor]: Taking taylor expansion of im in im 1.770 * [taylor]: Taking taylor expansion of 0 in im 1.770 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.770 * [taylor]: Taking taylor expansion of im in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.770 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.771 * [taylor]: Taking taylor expansion of im in re 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.771 * [taylor]: Taking taylor expansion of re in re 1.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.771 * [taylor]: Taking taylor expansion of im in re 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.771 * [taylor]: Taking taylor expansion of re in re 1.771 * [taylor]: Taking taylor expansion of 1 in im 1.771 * [taylor]: Taking taylor expansion of 0 in im 1.771 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.771 * [taylor]: Taking taylor expansion of 1/2 in im 1.771 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.771 * [taylor]: Taking taylor expansion of im in im 1.772 * [taylor]: Taking taylor expansion of 0 in im 1.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.772 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.772 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.772 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 1.772 * [taylor]: Taking taylor expansion of (fabs im) in re 1.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.773 * [taylor]: Taking taylor expansion of 2.0 in re 1.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.773 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.773 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.773 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.773 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.773 * [taylor]: Taking taylor expansion of im in re 1.774 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.774 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 1.774 * [taylor]: Taking taylor expansion of (fabs im) in im 1.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.774 * [taylor]: Taking taylor expansion of 2.0 in im 1.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.774 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.774 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.774 * [taylor]: Taking taylor expansion of re in im 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.774 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.774 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.774 * [taylor]: Taking taylor expansion of re in im 1.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.774 * [taylor]: Taking taylor expansion of im in im 1.775 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.775 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 1.775 * [taylor]: Taking taylor expansion of (fabs im) in im 1.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.775 * [taylor]: Taking taylor expansion of 2.0 in im 1.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.775 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.775 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.775 * [taylor]: Taking taylor expansion of re in im 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.775 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.775 * [taylor]: Taking taylor expansion of re in im 1.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.775 * [taylor]: Taking taylor expansion of im in im 1.776 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) in re 1.776 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) in re 1.776 * [taylor]: Taking taylor expansion of (fabs im) in re 1.776 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.776 * [taylor]: Taking taylor expansion of 2.0 in re 1.776 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.776 * [taylor]: Taking taylor expansion of 1/2 in re 1.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.776 * [taylor]: Taking taylor expansion of re in re 1.777 * [taylor]: Taking taylor expansion of 0 in re 1.778 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.778 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.778 * [taylor]: Taking taylor expansion of 1/16 in re 1.778 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.778 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re 1.778 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 1.778 * [taylor]: Taking taylor expansion of (fabs im) in re 1.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.778 * [taylor]: Taking taylor expansion of 2.0 in re 1.778 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.778 * [taylor]: Taking taylor expansion of 1/2 in re 1.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.778 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.781 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.781 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.781 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.781 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.781 * [taylor]: Taking taylor expansion of 2.0 in re 1.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.782 * [taylor]: Taking taylor expansion of re in re 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.782 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.782 * [taylor]: Taking taylor expansion of im in re 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.782 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.782 * [taylor]: Taking taylor expansion of re in re 1.782 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.782 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 1.782 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 1.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.782 * [taylor]: Taking taylor expansion of 2.0 in im 1.782 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.782 * [taylor]: Taking taylor expansion of re in im 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.782 * [taylor]: Taking taylor expansion of re in im 1.783 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.783 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 1.783 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 1.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.783 * [taylor]: Taking taylor expansion of 2.0 in im 1.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.783 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.783 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.783 * [taylor]: Taking taylor expansion of re in im 1.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.783 * [taylor]: Taking taylor expansion of im in im 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.783 * [taylor]: Taking taylor expansion of re in im 1.783 * [taylor]: Taking taylor expansion of 0 in re 1.783 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 1.784 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 1.784 * [taylor]: Taking taylor expansion of +nan.0 in re 1.784 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.784 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.784 * [taylor]: Taking taylor expansion of 2.0 in re 1.784 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 1.784 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 1.784 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 1.784 * [taylor]: Taking taylor expansion of +nan.0 in re 1.784 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.785 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.785 * [taylor]: Taking taylor expansion of 2.0 in re 1.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 1.785 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 1.785 * [taylor]: Taking taylor expansion of +nan.0 in re 1.785 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 1.785 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.785 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.785 * [taylor]: Taking taylor expansion of 2.0 in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.787 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 1.787 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 1.787 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 1.787 * [taylor]: Taking taylor expansion of +nan.0 in re 1.787 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.787 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.787 * [taylor]: Taking taylor expansion of 2.0 in re 1.787 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 1.787 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 1.787 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 1.787 * [taylor]: Taking taylor expansion of +nan.0 in re 1.787 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 1.787 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.787 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.787 * [taylor]: Taking taylor expansion of 2.0 in re 1.787 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.787 * [taylor]: Taking taylor expansion of re in re 1.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 1.788 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 1.788 * [taylor]: Taking taylor expansion of +nan.0 in re 1.788 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 1.788 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 1.788 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.788 * [taylor]: Taking taylor expansion of 2.0 in re 1.788 * [taylor]: Taking taylor expansion of re in re 1.790 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.790 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.790 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.790 * [taylor]: Taking taylor expansion of 2.0 in re 1.790 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.790 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.790 * [taylor]: Taking taylor expansion of im in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.791 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.791 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 1.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.791 * [taylor]: Taking taylor expansion of 2.0 in im 1.791 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 1.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.791 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.791 * [taylor]: Taking taylor expansion of im in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.791 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.791 * [taylor]: Taking taylor expansion of re in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.791 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.792 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 1.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.792 * [taylor]: Taking taylor expansion of 2.0 in im 1.792 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 1.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.792 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.792 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.794 * [taylor]: Taking taylor expansion of 0 in re 1.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 1.795 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 1.795 * [taylor]: Taking taylor expansion of +nan.0 in re 1.795 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.795 * [taylor]: Taking taylor expansion of 2.0 in re 1.795 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.795 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 1.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 1.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 1.795 * [taylor]: Taking taylor expansion of +nan.0 in re 1.795 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 1.795 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.796 * [taylor]: Taking taylor expansion of 2.0 in re 1.796 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.796 * [taylor]: Taking taylor expansion of re in re 1.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 1.796 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 1.796 * [taylor]: Taking taylor expansion of +nan.0 in re 1.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.796 * [taylor]: Taking taylor expansion of 2.0 in re 1.796 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.798 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 1.798 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 1.798 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 1.798 * [taylor]: Taking taylor expansion of +nan.0 in re 1.798 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 1.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.798 * [taylor]: Taking taylor expansion of 2.0 in re 1.798 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.798 * [taylor]: Taking taylor expansion of re in re 1.798 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 1.798 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 1.798 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 1.798 * [taylor]: Taking taylor expansion of +nan.0 in re 1.798 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 1.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.798 * [taylor]: Taking taylor expansion of 2.0 in re 1.798 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.798 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.798 * [taylor]: Taking taylor expansion of re in re 1.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 1.799 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 1.799 * [taylor]: Taking taylor expansion of +nan.0 in re 1.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 1.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.799 * [taylor]: Taking taylor expansion of 2.0 in re 1.799 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.800 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2) 1.800 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.800 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.800 * [taylor]: Taking taylor expansion of re in im 1.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.800 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.800 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.800 * [taylor]: Taking taylor expansion of re in im 1.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.800 * [taylor]: Taking taylor expansion of im in im 1.801 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.801 * [taylor]: Taking taylor expansion of re in re 1.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.801 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.801 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.801 * [taylor]: Taking taylor expansion of re in re 1.801 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.801 * [taylor]: Taking taylor expansion of im in re 1.801 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.801 * [taylor]: Taking taylor expansion of re in re 1.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.801 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.801 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.801 * [taylor]: Taking taylor expansion of re in re 1.801 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.801 * [taylor]: Taking taylor expansion of im in re 1.801 * [taylor]: Taking taylor expansion of im in im 1.801 * [taylor]: Taking taylor expansion of 1 in im 1.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.802 * [taylor]: Taking taylor expansion of 1/2 in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of 0 in im 1.802 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.802 * [taylor]: Taking taylor expansion of re in im 1.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.802 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.802 * [taylor]: Taking taylor expansion of re in im 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.803 * [taylor]: Taking taylor expansion of re in re 1.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.803 * [taylor]: Taking taylor expansion of im in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.803 * [taylor]: Taking taylor expansion of re in re 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.803 * [taylor]: Taking taylor expansion of re in re 1.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.803 * [taylor]: Taking taylor expansion of im in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.803 * [taylor]: Taking taylor expansion of re in re 1.803 * [taylor]: Taking taylor expansion of 2 in im 1.803 * [taylor]: Taking taylor expansion of 0 in im 1.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.804 * [taylor]: Taking taylor expansion of 1/2 in im 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.804 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.804 * [taylor]: Taking taylor expansion of im in im 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.804 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.804 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.805 * [taylor]: Taking taylor expansion of im in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.805 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.805 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.805 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.805 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.805 * [taylor]: Taking taylor expansion of im in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.805 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.805 * [taylor]: Taking taylor expansion of im in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.806 * [taylor]: Taking taylor expansion of re in re 1.806 * [taylor]: Taking taylor expansion of 0 in im 1.806 * [taylor]: Taking taylor expansion of 0 in im 1.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.806 * [taylor]: Taking taylor expansion of 1/2 in im 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.806 * [taylor]: Taking taylor expansion of im in im 1.807 * [taylor]: Taking taylor expansion of 0 in im 1.807 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.807 * [approximate]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 1.807 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.807 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 1.807 * [taylor]: Taking taylor expansion of (fabs im) in re 1.807 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.807 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.807 * [taylor]: Taking taylor expansion of im in re 1.807 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.807 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im 1.807 * [taylor]: Taking taylor expansion of (fabs im) in im 1.808 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.808 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.808 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.808 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.808 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im 1.808 * [taylor]: Taking taylor expansion of (fabs im) in im 1.808 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.808 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.808 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs im) 2) re)) in re 1.809 * [taylor]: Taking taylor expansion of 1/2 in re 1.809 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) re) in re 1.809 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 1.809 * [taylor]: Taking taylor expansion of (fabs im) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of 0 in re 1.810 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (pow (fabs im) 2) (pow re 3)))) in re 1.810 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (fabs im) 2) (pow re 3))) in re 1.810 * [taylor]: Taking taylor expansion of 1/8 in re 1.810 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (pow re 3)) in re 1.810 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 1.810 * [taylor]: Taking taylor expansion of (fabs im) in re 1.810 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.810 * [taylor]: Taking taylor expansion of re in re 1.812 * [approximate]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (im re) around 0 1.812 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.812 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 1.812 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.812 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im 1.812 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.812 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.812 * [taylor]: Taking taylor expansion of re in im 1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.812 * [taylor]: Taking taylor expansion of im in im 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.812 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.813 * [taylor]: Taking taylor expansion of re in im 1.813 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.813 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im 1.813 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.813 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.813 * [taylor]: Taking taylor expansion of re in im 1.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.813 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.813 * [taylor]: Taking taylor expansion of im in im 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.813 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.813 * [taylor]: Taking taylor expansion of re in im 1.813 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 1.813 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.814 * [taylor]: Taking taylor expansion of (- (/ (pow (fabs (/ 1 im)) 2) re)) in re 1.814 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) re) in re 1.814 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 1.814 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.814 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2))) in re 1.815 * [taylor]: Taking taylor expansion of 1/2 in re 1.815 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (pow re 2)) in re 1.815 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 1.815 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 1.816 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.817 * [approximate]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in (im re) around 0 1.817 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.817 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 1.817 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.817 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.817 * [taylor]: Taking taylor expansion of im in re 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.817 * [taylor]: Taking taylor expansion of re in re 1.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.818 * [taylor]: Taking taylor expansion of re in re 1.818 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.818 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im 1.818 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 1.818 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.818 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.818 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.818 * [taylor]: Taking taylor expansion of re in im 1.819 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.819 * [taylor]: Taking taylor expansion of re in im 1.819 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.819 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im 1.819 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 1.819 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.819 * [taylor]: Taking taylor expansion of im in im 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.819 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.819 * [taylor]: Taking taylor expansion of re in im 1.819 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.819 * [taylor]: Taking taylor expansion of re in im 1.819 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 1.819 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.820 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) re) in re 1.820 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 1.820 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.820 * [taylor]: Taking taylor expansion of re in re 1.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2))) in re 1.821 * [taylor]: Taking taylor expansion of 1/2 in re 1.821 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (pow re 2)) in re 1.821 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 1.821 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 1.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.821 * [taylor]: Taking taylor expansion of re in re 1.823 * [taylor]: Taking taylor expansion of 0 in re 1.824 * * * [progress]: simplifying candidates 1.825 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (* (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt 2.0) (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (fabs im) (fabs im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (+ (log (fabs im)) (- (log (fabs im)) (log (+ (sqrt (+ (* re re) (* im im))) re)))) (+ (log (fabs im)) (log (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (fabs im) (fabs im)) (fabs im)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (fabs im) (/ (sqrt (fabs im)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (sqrt (fabs im)) 1)) (* (fabs im) (/ (sqrt (fabs im)) 1)) (* (fabs im) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ 1 1)) (* (fabs im) (/ 1 1)) (* (fabs im) 1) (* (fabs im) (fabs im)) (* (fabs im) (/ (fabs im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* (fabs im) (/ (fabs im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (cbrt (fabs im)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (fabs im)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (fabs im)) im re (* -1 re) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (+ re im) (* 2 re) 0 0 0 (- (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2)))) 1.831 * * [simplify]: iteration 0 : 463 enodes (cost 834 ) 1.839 * * [simplify]: iteration 1 : 2015 enodes (cost 732 ) 1.875 * * [simplify]: iteration 2 : 5001 enodes (cost 726 ) 1.879 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (pow (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) 3) (sqrt 2.0) (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (fabs im) (fabs im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (+ (* re re) (- (pow im 2) (* re re))) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (/ (pow (fabs im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (log (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (pow (fabs im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) 3) (pow (/ (pow (fabs im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) 3) (* (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (pow (fabs im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) 3) (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (cbrt (fabs im)) (cbrt (fabs im))) (fabs im)) (* (* (cbrt (fabs im)) (cbrt (fabs im))) (fabs im)) (/ (pow (sqrt (fabs im)) 3) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (sqrt (fabs im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (pow (sqrt (fabs im)) 3) (pow (sqrt (fabs im)) 3) (/ (fabs im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im) (fabs im) (fabs im) (pow (fabs im) 2) (/ (pow (fabs im) 2) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (fabs im) (/ (+ (* re re) (- (pow im 2) (* re re))) (fabs im))) (* (cbrt (fabs im)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt (fabs im)) 3) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (fabs im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (pow (fabs im) 2) im re (* -1 re) (+ (* (* +nan.0 (fabs im)) (- (* (sqrt 2.0) (sqrt 1/2)) (* (sqrt 2.0) (* (sqrt 1/2) re)))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))))) (+ (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))))) (+ (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))))) (+ re im) (* 2 re) 0 0 0 (- (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2)))) 1.879 * * * [progress]: adding candidates to table 2.646 * * [progress]: iteration 4 / 4 2.646 * * * [progress]: picking best candidate 2.704 * * * * [pick]: Picked # 2.704 * * * [progress]: localizing error 2.722 * * * [progress]: generating rewritten candidates 2.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 2 1) 2.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 2.729 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 3.036 * * * [progress]: generating series expansions 3.036 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 2 1) 3.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.036 * [taylor]: Taking taylor expansion of re in im 3.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.036 * [taylor]: Taking taylor expansion of im in im 3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.037 * [taylor]: Taking taylor expansion of re in re 3.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.037 * [taylor]: Taking taylor expansion of im in re 3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.037 * [taylor]: Taking taylor expansion of re in re 3.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.037 * [taylor]: Taking taylor expansion of im in re 3.037 * [taylor]: Taking taylor expansion of im in im 3.038 * [taylor]: Taking taylor expansion of 0 in im 3.038 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.038 * [taylor]: Taking taylor expansion of 1/2 in im 3.038 * [taylor]: Taking taylor expansion of im in im 3.038 * [taylor]: Taking taylor expansion of 0 in im 3.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.038 * [taylor]: Taking taylor expansion of im in im 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.038 * [taylor]: Taking taylor expansion of re in im 3.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.039 * [taylor]: Taking taylor expansion of im in re 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.039 * [taylor]: Taking taylor expansion of re in re 3.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.039 * [taylor]: Taking taylor expansion of im in re 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.039 * [taylor]: Taking taylor expansion of re in re 3.039 * [taylor]: Taking taylor expansion of 1 in im 3.039 * [taylor]: Taking taylor expansion of 0 in im 3.039 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.039 * [taylor]: Taking taylor expansion of 1/2 in im 3.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.039 * [taylor]: Taking taylor expansion of im in im 3.040 * [taylor]: Taking taylor expansion of 0 in im 3.040 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.040 * [taylor]: Taking taylor expansion of im in im 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.040 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.040 * [taylor]: Taking taylor expansion of re in im 3.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.041 * [taylor]: Taking taylor expansion of im in re 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.041 * [taylor]: Taking taylor expansion of re in re 3.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.041 * [taylor]: Taking taylor expansion of im in re 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.041 * [taylor]: Taking taylor expansion of re in re 3.041 * [taylor]: Taking taylor expansion of 1 in im 3.041 * [taylor]: Taking taylor expansion of 0 in im 3.041 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.042 * [taylor]: Taking taylor expansion of 1/2 in im 3.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.042 * [taylor]: Taking taylor expansion of im in im 3.042 * [taylor]: Taking taylor expansion of 0 in im 3.042 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 3.042 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.042 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.042 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.042 * [taylor]: Taking taylor expansion of re in im 3.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.042 * [taylor]: Taking taylor expansion of im in im 3.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.043 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.043 * [taylor]: Taking taylor expansion of re in re 3.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.043 * [taylor]: Taking taylor expansion of im in re 3.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.043 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.043 * [taylor]: Taking taylor expansion of re in re 3.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.043 * [taylor]: Taking taylor expansion of im in re 3.043 * [taylor]: Taking taylor expansion of im in im 3.043 * [taylor]: Taking taylor expansion of 0 in im 3.043 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.043 * [taylor]: Taking taylor expansion of 1/2 in im 3.044 * [taylor]: Taking taylor expansion of im in im 3.044 * [taylor]: Taking taylor expansion of 0 in im 3.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.044 * [taylor]: Taking taylor expansion of im in im 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.044 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.044 * [taylor]: Taking taylor expansion of re in im 3.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.044 * [taylor]: Taking taylor expansion of im in re 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.044 * [taylor]: Taking taylor expansion of re in re 3.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.045 * [taylor]: Taking taylor expansion of im in re 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.045 * [taylor]: Taking taylor expansion of re in re 3.045 * [taylor]: Taking taylor expansion of 1 in im 3.045 * [taylor]: Taking taylor expansion of 0 in im 3.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.045 * [taylor]: Taking taylor expansion of 1/2 in im 3.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.045 * [taylor]: Taking taylor expansion of im in im 3.046 * [taylor]: Taking taylor expansion of 0 in im 3.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.046 * [taylor]: Taking taylor expansion of im in im 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.046 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.046 * [taylor]: Taking taylor expansion of re in im 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.046 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.046 * [taylor]: Taking taylor expansion of im in re 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.046 * [taylor]: Taking taylor expansion of re in re 3.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.047 * [taylor]: Taking taylor expansion of im in re 3.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.047 * [taylor]: Taking taylor expansion of re in re 3.047 * [taylor]: Taking taylor expansion of 1 in im 3.047 * [taylor]: Taking taylor expansion of 0 in im 3.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.047 * [taylor]: Taking taylor expansion of 1/2 in im 3.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.047 * [taylor]: Taking taylor expansion of im in im 3.048 * [taylor]: Taking taylor expansion of 0 in im 3.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.048 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 3.048 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 3.048 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 3.048 * [taylor]: Taking taylor expansion of (fabs im) in re 3.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.048 * [taylor]: Taking taylor expansion of 2.0 in re 3.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 3.048 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 3.048 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.049 * [taylor]: Taking taylor expansion of re in re 3.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.049 * [taylor]: Taking taylor expansion of re in re 3.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.049 * [taylor]: Taking taylor expansion of im in re 3.049 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 3.049 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 3.049 * [taylor]: Taking taylor expansion of (fabs im) in im 3.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.049 * [taylor]: Taking taylor expansion of 2.0 in im 3.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.049 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.049 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.049 * [taylor]: Taking taylor expansion of re in im 3.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.049 * [taylor]: Taking taylor expansion of re in im 3.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.049 * [taylor]: Taking taylor expansion of im in im 3.050 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 3.050 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 3.050 * [taylor]: Taking taylor expansion of (fabs im) in im 3.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.050 * [taylor]: Taking taylor expansion of 2.0 in im 3.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.050 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.050 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.050 * [taylor]: Taking taylor expansion of re in im 3.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.050 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.050 * [taylor]: Taking taylor expansion of re in im 3.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.050 * [taylor]: Taking taylor expansion of im in im 3.051 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) in re 3.051 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) in re 3.051 * [taylor]: Taking taylor expansion of (fabs im) in re 3.051 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 3.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.051 * [taylor]: Taking taylor expansion of 2.0 in re 3.051 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 3.051 * [taylor]: Taking taylor expansion of 1/2 in re 3.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 3.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.051 * [taylor]: Taking taylor expansion of re in re 3.052 * [taylor]: Taking taylor expansion of 0 in re 3.053 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 3.053 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 3.053 * [taylor]: Taking taylor expansion of 1/16 in re 3.053 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 3.053 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re 3.053 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 3.053 * [taylor]: Taking taylor expansion of (fabs im) in re 3.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.054 * [taylor]: Taking taylor expansion of 2.0 in re 3.054 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 3.054 * [taylor]: Taking taylor expansion of 1/2 in re 3.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 3.054 * [taylor]: Taking taylor expansion of (pow re 5) in re 3.054 * [taylor]: Taking taylor expansion of re in re 3.057 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 3.057 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 3.057 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.057 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.057 * [taylor]: Taking taylor expansion of 2.0 in re 3.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 3.057 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.057 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.057 * [taylor]: Taking taylor expansion of re in re 3.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.057 * [taylor]: Taking taylor expansion of im in re 3.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.058 * [taylor]: Taking taylor expansion of re in re 3.058 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 3.058 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 3.058 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 3.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.058 * [taylor]: Taking taylor expansion of 2.0 in im 3.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.058 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.058 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.058 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.058 * [taylor]: Taking taylor expansion of re in im 3.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.058 * [taylor]: Taking taylor expansion of im in im 3.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.058 * [taylor]: Taking taylor expansion of re in im 3.058 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 3.058 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 3.058 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 3.059 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.059 * [taylor]: Taking taylor expansion of 2.0 in im 3.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.059 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.059 * [taylor]: Taking taylor expansion of re in im 3.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.059 * [taylor]: Taking taylor expansion of im in im 3.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.059 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.059 * [taylor]: Taking taylor expansion of re in im 3.059 * [taylor]: Taking taylor expansion of 0 in re 3.059 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 3.059 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 3.059 * [taylor]: Taking taylor expansion of +nan.0 in re 3.059 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.059 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.060 * [taylor]: Taking taylor expansion of 2.0 in re 3.060 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 3.060 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 3.060 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 3.060 * [taylor]: Taking taylor expansion of +nan.0 in re 3.060 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.060 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.060 * [taylor]: Taking taylor expansion of 2.0 in re 3.061 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 3.061 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 3.061 * [taylor]: Taking taylor expansion of +nan.0 in re 3.061 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 3.061 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.061 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.061 * [taylor]: Taking taylor expansion of 2.0 in re 3.061 * [taylor]: Taking taylor expansion of re in re 3.063 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 3.063 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 3.063 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 3.063 * [taylor]: Taking taylor expansion of +nan.0 in re 3.063 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.063 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.063 * [taylor]: Taking taylor expansion of 2.0 in re 3.063 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 3.063 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 3.063 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 3.063 * [taylor]: Taking taylor expansion of +nan.0 in re 3.063 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 3.063 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.063 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.063 * [taylor]: Taking taylor expansion of 2.0 in re 3.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.063 * [taylor]: Taking taylor expansion of re in re 3.063 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 3.063 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 3.063 * [taylor]: Taking taylor expansion of +nan.0 in re 3.063 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 3.063 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 3.063 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.064 * [taylor]: Taking taylor expansion of 2.0 in re 3.064 * [taylor]: Taking taylor expansion of re in re 3.066 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 3.066 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 3.066 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.066 * [taylor]: Taking taylor expansion of 2.0 in re 3.066 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 3.066 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 3.066 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.066 * [taylor]: Taking taylor expansion of im in re 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.066 * [taylor]: Taking taylor expansion of re in re 3.067 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.067 * [taylor]: Taking taylor expansion of re in re 3.067 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 3.067 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 3.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.067 * [taylor]: Taking taylor expansion of 2.0 in im 3.067 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 3.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.067 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.067 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.067 * [taylor]: Taking taylor expansion of im in im 3.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.067 * [taylor]: Taking taylor expansion of re in im 3.068 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.068 * [taylor]: Taking taylor expansion of re in im 3.068 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 3.068 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 3.068 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.068 * [taylor]: Taking taylor expansion of 2.0 in im 3.068 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 3.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.068 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.068 * [taylor]: Taking taylor expansion of im in im 3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.068 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.068 * [taylor]: Taking taylor expansion of re in im 3.068 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.068 * [taylor]: Taking taylor expansion of re in im 3.068 * [taylor]: Taking taylor expansion of 0 in re 3.069 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 3.069 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 3.069 * [taylor]: Taking taylor expansion of +nan.0 in re 3.069 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.069 * [taylor]: Taking taylor expansion of 2.0 in re 3.069 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.069 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 3.069 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 3.069 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 3.069 * [taylor]: Taking taylor expansion of +nan.0 in re 3.069 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 3.069 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.069 * [taylor]: Taking taylor expansion of 2.0 in re 3.070 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.070 * [taylor]: Taking taylor expansion of re in re 3.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 3.070 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 3.070 * [taylor]: Taking taylor expansion of +nan.0 in re 3.070 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.070 * [taylor]: Taking taylor expansion of 2.0 in re 3.070 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.072 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 3.072 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 3.072 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 3.072 * [taylor]: Taking taylor expansion of +nan.0 in re 3.072 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 3.072 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.072 * [taylor]: Taking taylor expansion of 2.0 in re 3.072 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.072 * [taylor]: Taking taylor expansion of re in re 3.072 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 3.072 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 3.072 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 3.072 * [taylor]: Taking taylor expansion of +nan.0 in re 3.072 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 3.072 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.072 * [taylor]: Taking taylor expansion of 2.0 in re 3.072 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.072 * [taylor]: Taking taylor expansion of re in re 3.072 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 3.072 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 3.072 * [taylor]: Taking taylor expansion of +nan.0 in re 3.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 3.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.073 * [taylor]: Taking taylor expansion of 2.0 in re 3.073 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.074 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 3.074 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (im re) around 0 3.074 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 3.074 * [taylor]: Taking taylor expansion of (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 3.074 * [taylor]: Taking taylor expansion of (fabs im) in re 3.074 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.074 * [taylor]: Taking taylor expansion of re in re 3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.074 * [taylor]: Taking taylor expansion of re in re 3.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.074 * [taylor]: Taking taylor expansion of im in re 3.075 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.075 * [taylor]: Taking taylor expansion of (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.075 * [taylor]: Taking taylor expansion of (fabs im) in im 3.075 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.075 * [taylor]: Taking taylor expansion of re in im 3.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.075 * [taylor]: Taking taylor expansion of re in im 3.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.075 * [taylor]: Taking taylor expansion of im in im 3.076 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.076 * [taylor]: Taking taylor expansion of (/ (fabs im) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.076 * [taylor]: Taking taylor expansion of (fabs im) in im 3.076 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.076 * [taylor]: Taking taylor expansion of re in im 3.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.076 * [taylor]: Taking taylor expansion of re in im 3.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.076 * [taylor]: Taking taylor expansion of im in im 3.076 * [taylor]: Taking taylor expansion of (* (sqrt (/ (fabs im) re)) (sqrt 1/2)) in re 3.076 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs im) re)) in re 3.076 * [taylor]: Taking taylor expansion of (/ (fabs im) re) in re 3.076 * [taylor]: Taking taylor expansion of (fabs im) in re 3.077 * [taylor]: Taking taylor expansion of re in re 3.077 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 3.077 * [taylor]: Taking taylor expansion of 1/2 in re 3.077 * [taylor]: Taking taylor expansion of 0 in re 3.078 * [taylor]: Taking taylor expansion of (* -1/16 (* (sqrt (/ (fabs im) (pow re 5))) (/ 1 (sqrt 1/2)))) in re 3.078 * [taylor]: Taking taylor expansion of -1/16 in re 3.078 * [taylor]: Taking taylor expansion of (* (sqrt (/ (fabs im) (pow re 5))) (/ 1 (sqrt 1/2))) in re 3.078 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs im) (pow re 5))) in re 3.078 * [taylor]: Taking taylor expansion of (/ (fabs im) (pow re 5)) in re 3.078 * [taylor]: Taking taylor expansion of (fabs im) in re 3.078 * [taylor]: Taking taylor expansion of (pow re 5) in re 3.078 * [taylor]: Taking taylor expansion of re in re 3.078 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 1/2)) in re 3.078 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 3.078 * [taylor]: Taking taylor expansion of 1/2 in re 3.081 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (im re) around 0 3.081 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 3.081 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.081 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.081 * [taylor]: Taking taylor expansion of re in re 3.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.081 * [taylor]: Taking taylor expansion of im in re 3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.081 * [taylor]: Taking taylor expansion of re in re 3.081 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.082 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.082 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.082 * [taylor]: Taking taylor expansion of re in im 3.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.082 * [taylor]: Taking taylor expansion of im in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.082 * [taylor]: Taking taylor expansion of re in im 3.082 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.082 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.082 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.082 * [taylor]: Taking taylor expansion of re in im 3.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.082 * [taylor]: Taking taylor expansion of im in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.082 * [taylor]: Taking taylor expansion of re in im 3.083 * [taylor]: Taking taylor expansion of 0 in re 3.083 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 3.083 * [taylor]: Taking taylor expansion of +nan.0 in re 3.083 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.083 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ (fabs (/ 1 im)) re) (- (* +nan.0 (pow (fabs (/ 1 im)) 2))))) in re 3.083 * [taylor]: Taking taylor expansion of +nan.0 in re 3.083 * [taylor]: Taking taylor expansion of (+ (/ (fabs (/ 1 im)) re) (- (* +nan.0 (pow (fabs (/ 1 im)) 2)))) in re 3.083 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 3.083 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.083 * [taylor]: Taking taylor expansion of re in re 3.083 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (fabs (/ 1 im)) 2))) in re 3.083 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (fabs (/ 1 im)) 2)) in re 3.083 * [taylor]: Taking taylor expansion of +nan.0 in re 3.083 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 3.083 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.085 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (fabs (/ 1 im)) (pow re 2))) (+ (* +nan.0 (/ (pow (fabs (/ 1 im)) 2) re)) (- (* +nan.0 (pow (fabs (/ 1 im)) 3)))))) in re 3.085 * [taylor]: Taking taylor expansion of +nan.0 in re 3.085 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (fabs (/ 1 im)) (pow re 2))) (+ (* +nan.0 (/ (pow (fabs (/ 1 im)) 2) re)) (- (* +nan.0 (pow (fabs (/ 1 im)) 3))))) in re 3.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ (fabs (/ 1 im)) (pow re 2))) in re 3.085 * [taylor]: Taking taylor expansion of 1/2 in re 3.085 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (pow re 2)) in re 3.085 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.085 * [taylor]: Taking taylor expansion of re in re 3.086 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (fabs (/ 1 im)) 2) re)) (- (* +nan.0 (pow (fabs (/ 1 im)) 3)))) in re 3.086 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (fabs (/ 1 im)) 2) re)) in re 3.086 * [taylor]: Taking taylor expansion of +nan.0 in re 3.086 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) re) in re 3.086 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 3.086 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.086 * [taylor]: Taking taylor expansion of re in re 3.086 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (fabs (/ 1 im)) 3))) in re 3.086 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (fabs (/ 1 im)) 3)) in re 3.086 * [taylor]: Taking taylor expansion of +nan.0 in re 3.086 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 3) in re 3.086 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 3.089 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (im re) around 0 3.089 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 3.089 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 3.089 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.089 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.089 * [taylor]: Taking taylor expansion of im in re 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.089 * [taylor]: Taking taylor expansion of re in re 3.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.089 * [taylor]: Taking taylor expansion of re in re 3.090 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.090 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.090 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 3.090 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.090 * [taylor]: Taking taylor expansion of im in im 3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.090 * [taylor]: Taking taylor expansion of re in im 3.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.090 * [taylor]: Taking taylor expansion of re in im 3.090 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.090 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.090 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 3.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.091 * [taylor]: Taking taylor expansion of im in im 3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.091 * [taylor]: Taking taylor expansion of re in im 3.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.091 * [taylor]: Taking taylor expansion of re in im 3.091 * [taylor]: Taking taylor expansion of 0 in re 3.091 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 3.091 * [taylor]: Taking taylor expansion of +nan.0 in re 3.091 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.091 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (fabs (/ -1 im)) re) (* +nan.0 (pow (fabs (/ -1 im)) 2)))) in re 3.092 * [taylor]: Taking taylor expansion of +nan.0 in re 3.092 * [taylor]: Taking taylor expansion of (- (/ (fabs (/ -1 im)) re) (* +nan.0 (pow (fabs (/ -1 im)) 2))) in re 3.092 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 3.092 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.092 * [taylor]: Taking taylor expansion of re in re 3.092 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (fabs (/ -1 im)) 2)) in re 3.092 * [taylor]: Taking taylor expansion of +nan.0 in re 3.092 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 3.092 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.093 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (fabs (/ -1 im)) (pow re 2))) (+ (* +nan.0 (pow (fabs (/ -1 im)) 3)) (- (* +nan.0 (/ (pow (fabs (/ -1 im)) 2) re)))))) in re 3.093 * [taylor]: Taking taylor expansion of +nan.0 in re 3.093 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (fabs (/ -1 im)) (pow re 2))) (+ (* +nan.0 (pow (fabs (/ -1 im)) 3)) (- (* +nan.0 (/ (pow (fabs (/ -1 im)) 2) re))))) in re 3.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ (fabs (/ -1 im)) (pow re 2))) in re 3.093 * [taylor]: Taking taylor expansion of 1/2 in re 3.093 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (pow re 2)) in re 3.093 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.093 * [taylor]: Taking taylor expansion of re in re 3.093 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (fabs (/ -1 im)) 3)) (- (* +nan.0 (/ (pow (fabs (/ -1 im)) 2) re)))) in re 3.093 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (fabs (/ -1 im)) 3)) in re 3.093 * [taylor]: Taking taylor expansion of +nan.0 in re 3.093 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 3) in re 3.093 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.093 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (fabs (/ -1 im)) 2) re))) in re 3.093 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (fabs (/ -1 im)) 2) re)) in re 3.093 * [taylor]: Taking taylor expansion of +nan.0 in re 3.094 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) re) in re 3.094 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 3.094 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 3.094 * [taylor]: Taking taylor expansion of re in re 3.095 * * * [progress]: simplifying candidates 3.097 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (exp (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (* (cbrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))) (cbrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (* (* (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (sqrt 2.0) (sqrt (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (fabs im))) (* (sqrt (fabs im)) (sqrt (fabs im)))))) (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (fabs im)))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (fabs im))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (sqrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (log (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (cbrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (sqrt (/ (cbrt (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (sqrt (/ (cbrt (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (sqrt (fabs im)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (sqrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (fabs im)) 1)) (sqrt (/ (sqrt (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (sqrt (fabs im)) 1)) (sqrt (/ (sqrt (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ 1 1)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ 1 1)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 1) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im)) (sqrt (/ 1 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (fabs im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (sqrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (pow (fabs im) 3) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (sqrt 1/2))) (- (* +nan.0 (* (pow (fabs im) 2) (* re (sqrt 1/2))))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (pow (fabs im) 2) (pow im 2))) (- (* +nan.0 (/ (pow (fabs im) 3) (pow im 3)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (pow (fabs im) 2) re) (pow im 3)))))))) 3.106 * * [simplify]: iteration 0 : 496 enodes (cost 1049 ) 3.113 * * [simplify]: iteration 1 : 1940 enodes (cost 980 ) 3.144 * * [simplify]: iteration 2 : 5002 enodes (cost 970 ) 3.148 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) 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(sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))) (cbrt (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))) (pow (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))) 3) (sqrt 2.0) (fabs (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* (* (sqrt (fabs im)) (sqrt (fabs im))) (* (sqrt (fabs im)) (sqrt (fabs im)))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* (* 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re)) (pow im 3))))) (* +nan.0 (+ (- (/ (* (pow (fabs im) 3) (pow im 2)) (sqrt 1/2))) (- (* (fabs im) (sqrt 1/2)) (* (pow (fabs im) 2) (* re (sqrt 1/2)))))) (* +nan.0 (+ (- (/ (fabs im) im)) (- (/ (pow (fabs im) 2) (pow im 2)) (/ (pow (fabs im) 3) (pow im 3))))) (* +nan.0 (+ (- (/ (fabs im) im)) (- (/ (* (fabs im) re) (pow im 2)) (/ (* (pow (fabs im) 2) re) (pow im 3))))) 3.149 * * * [progress]: adding candidates to table 4.450 * [progress]: [Phase 3 of 3] Extracting. 4.450 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.453 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 4.453 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 4.549 * * * * [regimes]: Trying to branch on (* im im) from (# #) 4.595 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 4.730 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 4.842 * * * [regime]: Found split indices: #