12.030 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.033 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.056 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.064 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.082 * [taylor]: Taking taylor expansion of 1/2 in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of 1 in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of 1/2 in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.100 * [taylor]: Taking taylor expansion of re in im 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.110 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of 1/2 in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.114 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.115 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.115 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.115 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.115 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) 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))) 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 0.116 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of 1 in im 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.118 * [taylor]: Taking taylor expansion of 1/2 in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of 2 in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.135 * [taylor]: Taking taylor expansion of 1/2 in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.154 * [taylor]: Taking taylor expansion of 1/2 in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.160 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.161 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.161 * [taylor]: Taking taylor expansion of 2.0 in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.162 * [taylor]: Taking taylor expansion of im in im 0.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.163 * [taylor]: Taking taylor expansion of 2.0 in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.164 * [taylor]: Taking taylor expansion of 2.0 in re 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.165 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.166 * [taylor]: Taking taylor expansion of 2.0 in im 0.167 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.174 * [taylor]: Taking taylor expansion of 2.0 in im 0.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.187 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.187 * [taylor]: Taking taylor expansion of 1/8 in im 0.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.187 * [taylor]: Taking taylor expansion of 2.0 in im 0.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.188 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.203 * [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 0.203 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.203 * [taylor]: Taking taylor expansion of 2.0 in im 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.208 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.208 * [taylor]: Taking taylor expansion of 2.0 in re 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.213 * [taylor]: Taking taylor expansion of 2.0 in re 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.214 * [taylor]: Taking taylor expansion of re in re 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.214 * [taylor]: Taking taylor expansion of im in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.214 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.214 * [taylor]: Taking taylor expansion of re in re 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.220 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.220 * [taylor]: Taking taylor expansion of +nan.0 in im 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.220 * [taylor]: Taking taylor expansion of 2.0 in im 0.225 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.225 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.225 * [taylor]: Taking taylor expansion of +nan.0 in im 0.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.225 * [taylor]: Taking taylor expansion of 2.0 in im 0.234 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.234 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.234 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.234 * [taylor]: Taking taylor expansion of +nan.0 in im 0.234 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.234 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.236 * [taylor]: Taking taylor expansion of +nan.0 in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.247 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.247 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.247 * [taylor]: Taking taylor expansion of +nan.0 in im 0.247 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.247 * [taylor]: Taking taylor expansion of 2.0 in im 0.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.249 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.249 * [taylor]: Taking taylor expansion of +nan.0 in im 0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.249 * [taylor]: Taking taylor expansion of 2.0 in im 0.269 * [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 0.269 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.269 * [taylor]: Taking taylor expansion of 2.0 in im 0.270 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.270 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.272 * [taylor]: Taking taylor expansion of re in im 0.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.274 * [taylor]: Taking taylor expansion of 2.0 in re 0.274 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.275 * [taylor]: Taking taylor expansion of im in re 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.283 * [taylor]: Taking taylor expansion of 2.0 in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.292 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.292 * [taylor]: Taking taylor expansion of +nan.0 in im 0.292 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.292 * [taylor]: Taking taylor expansion of 2.0 in im 0.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.317 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.318 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.318 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.318 * [taylor]: Taking taylor expansion of +nan.0 in im 0.318 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.318 * [taylor]: Taking taylor expansion of 2.0 in im 0.318 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.319 * [taylor]: Taking taylor expansion of +nan.0 in im 0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.344 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (re im) around 0 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.344 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.351 * [taylor]: Taking taylor expansion of 2.0 in re 0.351 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.351 * [taylor]: Taking taylor expansion of 2.0 in re 0.351 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.352 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 0.352 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of 2.0 in im 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im 0.356 * [taylor]: Taking taylor expansion of 1.0 in im 0.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.356 * [taylor]: Taking taylor expansion of im in im 0.360 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (re im) around 0 0.361 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.361 * [taylor]: Taking taylor expansion of 2.0 in im 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.362 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.362 * [taylor]: Taking taylor expansion of re in im 0.364 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.364 * [taylor]: Taking taylor expansion of 2.0 in re 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.364 * [taylor]: Taking taylor expansion of im in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.367 * [taylor]: Taking taylor expansion of 2.0 in re 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of 4.0 in im 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 0.374 * [taylor]: Taking taylor expansion of 1.0 in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.382 * [approximate]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in (re im) around 0 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.382 * [taylor]: Taking taylor expansion of 2.0 in im 0.382 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.383 * [taylor]: Taking taylor expansion of re in im 0.385 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.385 * [taylor]: Taking taylor expansion of re in im 0.385 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.385 * [taylor]: Taking taylor expansion of 2.0 in re 0.385 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.388 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.388 * [taylor]: Taking taylor expansion of 2.0 in re 0.388 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.388 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.388 * [taylor]: Taking taylor expansion of im in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.391 * [taylor]: Taking taylor expansion of 0 in im 0.393 * [taylor]: Taking taylor expansion of 0 in im 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 0.396 * [taylor]: Taking taylor expansion of 1.0 in im 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.396 * [taylor]: Taking taylor expansion of im in im 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.403 * * * [progress]: simplifying candidates 0.404 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (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)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (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) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) 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)))) (expm1 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (log1p (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (+ (log 2.0) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (exp (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 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) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (sqrt (+ (* re re) (* im im)))) (* 2.0 re) (* (sqrt (+ (* re re) (* im im))) 2.0) (* re 2.0) (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* 2.0 1) (* 2.0 1) (* (cbrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re)) (* (sqrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (* 2.0 re) (* 2.0 im)) (* 4.0 re) 0 0.409 * * [simplify]: iteration 0 : 328 enodes (cost 564 ) 0.415 * * [simplify]: iteration 1 : 1239 enodes (cost 485 ) 0.439 * * [simplify]: iteration 2 : 5001 enodes (cost 458 ) 0.442 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (* (hypot re im) 1)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re 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 (hypot re im) (hypot (pow im 3) (pow re 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)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (* (+ re (hypot re im)) 1)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (+ (* im im) 0) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) 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)))) (expm1 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (log1p (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* (+ re (hypot re im)) 2.0) (log (* (+ re (hypot re im)) 2.0)) (log (* (+ re (hypot re im)) 2.0)) (pow (exp 2.0) (+ re (hypot re im))) (pow (* (+ re (hypot re im)) 2.0) 3) (* (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (pow (* (+ re (hypot re im)) 2.0) 3) (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) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (hypot re im)) (* 2.0 re) (* 2.0 (hypot re im)) (* 2.0 re) (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 2.0 2.0 (* (+ re (hypot re im)) (cbrt 2.0)) (* (+ re (hypot re im)) (sqrt 2.0)) (* (+ re (hypot re im)) 2.0) (fma 2.0 (pow (hypot re im) 3) (* (pow re 3) 2.0)) (+ (* 2.0 (* im im)) (* 2.0 0)) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma 2.0 re (* 2.0 im)) (* 4.0 re) 0 0.443 * * * [progress]: adding candidates to table 0.664 * * [progress]: iteration 2 / 4 0.664 * * * [progress]: picking best candidate 0.678 * * * * [pick]: Picked # 0.678 * * * [progress]: localizing error 0.685 * * * [progress]: generating rewritten candidates 0.686 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.689 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.693 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.701 * * * [progress]: generating series expansions 0.701 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.701 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.701 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.701 * [taylor]: Taking taylor expansion of (* re re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (* im im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.702 * [taylor]: Taking taylor expansion of (* re re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (* im im) in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.704 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.704 * [taylor]: Taking taylor expansion of (* re re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (* im im) in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [taylor]: Taking taylor expansion of 1 in im 0.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.707 * [taylor]: Taking taylor expansion of 1/2 in im 0.707 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.707 * [taylor]: Taking taylor expansion of im in im 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.711 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.711 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.711 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.715 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.715 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.715 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 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 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.719 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.719 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of 2 in im 0.723 * [taylor]: Taking taylor expansion of 0 in im 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.726 * [taylor]: Taking taylor expansion of 1/2 in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.726 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of 0 in im 0.733 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.733 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.733 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.733 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.733 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [taylor]: Taking taylor expansion of im in im 0.734 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.734 * [taylor]: Taking taylor expansion of -1 in im 0.734 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.737 * [taylor]: Taking taylor expansion of re in im 0.737 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.737 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.741 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.741 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.741 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.741 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.741 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.741 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.741 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [taylor]: Taking taylor expansion of re in re 0.741 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.741 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.742 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.742 * [taylor]: Taking taylor expansion of -1 in re 0.742 * [taylor]: Taking taylor expansion of im in re 0.742 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.742 * [taylor]: Taking taylor expansion of -1 in re 0.742 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of 0 in im 0.751 * [taylor]: Taking taylor expansion of 0 in im 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.755 * [taylor]: Taking taylor expansion of 1/2 in im 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of 0 in im 0.762 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.762 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.762 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.762 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.762 * [taylor]: Taking taylor expansion of re in im 0.762 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.762 * [taylor]: Taking taylor expansion of (* re re) in im 0.762 * [taylor]: Taking taylor expansion of re in im 0.762 * [taylor]: Taking taylor expansion of re in im 0.762 * [taylor]: Taking taylor expansion of (* im im) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.764 * [taylor]: Taking taylor expansion of 2.0 in im 0.765 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.765 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.765 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.765 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.765 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.765 * [taylor]: Taking taylor expansion of (* re re) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of (* im im) in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.766 * [taylor]: Taking taylor expansion of 2.0 in re 0.767 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.767 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.767 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.767 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.767 * [taylor]: Taking taylor expansion of (* re re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (* im im) in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.769 * [taylor]: Taking taylor expansion of 2.0 in re 0.770 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.770 * [taylor]: Taking taylor expansion of 2.0 in im 0.771 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.771 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.773 * [taylor]: Taking taylor expansion of 1/2 in im 0.773 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.773 * [taylor]: Taking taylor expansion of 2.0 in im 0.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.785 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.785 * [taylor]: Taking taylor expansion of 1/8 in im 0.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.785 * [taylor]: Taking taylor expansion of 2.0 in im 0.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.786 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.802 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.802 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.802 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.802 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.802 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.807 * [taylor]: Taking taylor expansion of 2.0 in im 0.807 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.807 * [taylor]: Taking taylor expansion of re in re 0.808 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.808 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.808 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.812 * [taylor]: Taking taylor expansion of 2.0 in re 0.813 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.813 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.814 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.814 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.818 * [taylor]: Taking taylor expansion of 2.0 in re 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.820 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.821 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.821 * [taylor]: Taking taylor expansion of +nan.0 in im 0.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.821 * [taylor]: Taking taylor expansion of 2.0 in im 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.827 * [taylor]: Taking taylor expansion of +nan.0 in im 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.827 * [taylor]: Taking taylor expansion of 2.0 in im 0.843 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.843 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.843 * [taylor]: Taking taylor expansion of +nan.0 in im 0.843 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.843 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.843 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.844 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.844 * [taylor]: Taking taylor expansion of +nan.0 in im 0.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.844 * [taylor]: Taking taylor expansion of 2.0 in im 0.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.857 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.857 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.857 * [taylor]: Taking taylor expansion of +nan.0 in im 0.857 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.857 * [taylor]: Taking taylor expansion of 2.0 in im 0.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.858 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.858 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.858 * [taylor]: Taking taylor expansion of +nan.0 in im 0.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.858 * [taylor]: Taking taylor expansion of 2.0 in im 0.872 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.872 * [taylor]: Taking taylor expansion of 2.0 in im 0.873 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.873 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.873 * [taylor]: Taking taylor expansion of -1 in im 0.873 * [taylor]: Taking taylor expansion of re in im 0.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.873 * [taylor]: Taking taylor expansion of -1 in im 0.873 * [taylor]: Taking taylor expansion of re in im 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.873 * [taylor]: Taking taylor expansion of -1 in im 0.873 * [taylor]: Taking taylor expansion of im in im 0.874 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.874 * [taylor]: Taking taylor expansion of -1 in im 0.874 * [taylor]: Taking taylor expansion of im in im 0.877 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.877 * [taylor]: Taking taylor expansion of re in im 0.878 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.878 * [taylor]: Taking taylor expansion of 2.0 in re 0.879 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.879 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.879 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.879 * [taylor]: Taking taylor expansion of -1 in re 0.879 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.880 * [taylor]: Taking taylor expansion of -1 in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.880 * [taylor]: Taking taylor expansion of -1 in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.880 * [taylor]: Taking taylor expansion of -1 in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.883 * [taylor]: Taking taylor expansion of re in re 0.889 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.889 * [taylor]: Taking taylor expansion of 2.0 in re 0.889 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.889 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.889 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.890 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.890 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.890 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.890 * [taylor]: Taking taylor expansion of -1 in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.890 * [taylor]: Taking taylor expansion of -1 in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.890 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.890 * [taylor]: Taking taylor expansion of -1 in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.890 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.890 * [taylor]: Taking taylor expansion of -1 in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of 0 in im 0.900 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.900 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.900 * [taylor]: Taking taylor expansion of +nan.0 in im 0.900 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.900 * [taylor]: Taking taylor expansion of 2.0 in im 0.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.901 * [taylor]: Taking taylor expansion of im in im 0.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.909 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.909 * [taylor]: Taking taylor expansion of +nan.0 in im 0.909 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.909 * [taylor]: Taking taylor expansion of 2.0 in im 0.910 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.910 * [taylor]: Taking taylor expansion of im in im 0.932 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.932 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.932 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.933 * [taylor]: Taking taylor expansion of +nan.0 in im 0.933 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.933 * [taylor]: Taking taylor expansion of 2.0 in im 0.933 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.934 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.934 * [taylor]: Taking taylor expansion of +nan.0 in im 0.934 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.934 * [taylor]: Taking taylor expansion of 2.0 in im 0.935 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.935 * [taylor]: Taking taylor expansion of im in im 0.959 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.959 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in (re im) around 0 0.959 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in im 0.959 * [taylor]: Taking taylor expansion of 2.0 in im 0.959 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.959 * [taylor]: Taking taylor expansion of re in im 0.959 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.959 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.959 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.959 * [taylor]: Taking taylor expansion of (* re re) in im 0.959 * [taylor]: Taking taylor expansion of re in im 0.959 * [taylor]: Taking taylor expansion of re in im 0.959 * [taylor]: Taking taylor expansion of (* im im) in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.960 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 0.960 * [taylor]: Taking taylor expansion of 2.0 in re 0.960 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.961 * [taylor]: Taking taylor expansion of re in re 0.961 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.961 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.961 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.961 * [taylor]: Taking taylor expansion of (* re re) in re 0.961 * [taylor]: Taking taylor expansion of re in re 0.961 * [taylor]: Taking taylor expansion of re in re 0.961 * [taylor]: Taking taylor expansion of (* im im) in re 0.961 * [taylor]: Taking taylor expansion of im in re 0.961 * [taylor]: Taking taylor expansion of im in re 0.962 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 0.962 * [taylor]: Taking taylor expansion of 2.0 in re 0.962 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.962 * [taylor]: Taking taylor expansion of re in re 0.962 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.962 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.962 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.962 * [taylor]: Taking taylor expansion of (* re re) in re 0.962 * [taylor]: Taking taylor expansion of re in re 0.962 * [taylor]: Taking taylor expansion of re in re 0.962 * [taylor]: Taking taylor expansion of (* im im) in re 0.962 * [taylor]: Taking taylor expansion of im in re 0.962 * [taylor]: Taking taylor expansion of im in re 0.963 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 0.963 * [taylor]: Taking taylor expansion of 2.0 in im 0.963 * [taylor]: Taking taylor expansion of im in im 0.964 * [taylor]: Taking taylor expansion of 2.0 in im 0.967 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im 0.967 * [taylor]: Taking taylor expansion of 1.0 in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.971 * [taylor]: Taking taylor expansion of 0 in im 0.972 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 0.972 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.972 * [taylor]: Taking taylor expansion of 2.0 in im 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.972 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.972 * [taylor]: Taking taylor expansion of re in im 0.972 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.973 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.973 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.973 * [taylor]: Taking taylor expansion of re in im 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.973 * [taylor]: Taking taylor expansion of re in im 0.973 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.973 * [taylor]: Taking taylor expansion of im in im 0.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.973 * [taylor]: Taking taylor expansion of im in im 0.976 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.976 * [taylor]: Taking taylor expansion of 2.0 in re 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.976 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.976 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.977 * [taylor]: Taking taylor expansion of re in re 0.977 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.977 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.977 * [taylor]: Taking taylor expansion of im in re 0.977 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.977 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.980 * [taylor]: Taking taylor expansion of 2.0 in re 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.980 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.980 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.981 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.981 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.981 * [taylor]: Taking taylor expansion of im in re 0.981 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.981 * [taylor]: Taking taylor expansion of im in re 0.984 * [taylor]: Taking taylor expansion of 4.0 in im 0.985 * [taylor]: Taking taylor expansion of 0 in im 0.989 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 0.989 * [taylor]: Taking taylor expansion of 1.0 in im 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.989 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.989 * [taylor]: Taking taylor expansion of im in im 0.995 * [taylor]: Taking taylor expansion of 0 in im 0.996 * [approximate]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 0.996 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.997 * [taylor]: Taking taylor expansion of 2.0 in im 0.997 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.997 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.997 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.997 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.997 * [taylor]: Taking taylor expansion of -1 in im 0.997 * [taylor]: Taking taylor expansion of re in im 0.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.997 * [taylor]: Taking taylor expansion of -1 in im 0.997 * [taylor]: Taking taylor expansion of re in im 0.997 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.997 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.997 * [taylor]: Taking taylor expansion of -1 in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.997 * [taylor]: Taking taylor expansion of -1 in im 0.997 * [taylor]: Taking taylor expansion of im in im 1.000 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.000 * [taylor]: Taking taylor expansion of re in im 1.000 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.000 * [taylor]: Taking taylor expansion of 2.0 in re 1.000 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.001 * [taylor]: Taking taylor expansion of -1 in re 1.001 * [taylor]: Taking taylor expansion of re in re 1.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.001 * [taylor]: Taking taylor expansion of -1 in re 1.001 * [taylor]: Taking taylor expansion of re in re 1.001 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.001 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.001 * [taylor]: Taking taylor expansion of -1 in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.001 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.001 * [taylor]: Taking taylor expansion of -1 in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.004 * [taylor]: Taking taylor expansion of 2.0 in re 1.004 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.004 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.005 * [taylor]: Taking taylor expansion of -1 in re 1.005 * [taylor]: Taking taylor expansion of re in re 1.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.005 * [taylor]: Taking taylor expansion of -1 in re 1.005 * [taylor]: Taking taylor expansion of re in re 1.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.005 * [taylor]: Taking taylor expansion of -1 in re 1.005 * [taylor]: Taking taylor expansion of im in re 1.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.005 * [taylor]: Taking taylor expansion of -1 in re 1.005 * [taylor]: Taking taylor expansion of im in re 1.008 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.008 * [taylor]: Taking taylor expansion of re in re 1.009 * [taylor]: Taking taylor expansion of 0 in im 1.010 * [taylor]: Taking taylor expansion of 0 in im 1.020 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 1.020 * [taylor]: Taking taylor expansion of 1.0 in im 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.020 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of 0 in im 1.028 * * * [progress]: simplifying candidates 1.029 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (* (* (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (expm1 (* 2.0 (+ (hypot re im) re))) (log1p (* 2.0 (+ (hypot re im) re))) (* 2.0 (+ (hypot re im) re)) (+ (log 2.0) (log (+ (hypot re im) re))) (log (* 2.0 (+ (hypot re im) re))) (exp (* 2.0 (+ (hypot re im) re))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))) (* (cbrt (* 2.0 (+ (hypot re im) re))) (cbrt (* 2.0 (+ (hypot re im) re)))) (cbrt (* 2.0 (+ (hypot re im) re))) (* (* (* 2.0 (+ (hypot re im) re)) (* 2.0 (+ (hypot re im) re))) (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (hypot re im)) (* 2.0 re) (* (hypot re im) 2.0) (* re 2.0) (* 2.0 (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (* 2.0 (sqrt (+ (hypot re im) re))) (* 2.0 1) (* 2.0 1) (* (cbrt 2.0) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re)) (* 2.0 (+ (hypot re im) re)) (* 2.0 (+ (pow (hypot re im) 3) (pow re 3))) (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (* 2.0 re) (* 2.0 im)) (* 4.0 re) 0 1.033 * * [simplify]: iteration 0 : 247 enodes (cost 292 ) 1.038 * * [simplify]: iteration 1 : 928 enodes (cost 261 ) 1.057 * * [simplify]: iteration 2 : 4404 enodes (cost 255 ) 1.128 * * [simplify]: iteration 3 : 5001 enodes (cost 254 ) 1.130 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (expm1 (* 2.0 (+ (hypot re im) re))) (log1p (* 2.0 (+ (hypot re im) re))) (* 2.0 (+ (hypot re im) re)) (log (* 2.0 (+ (hypot re im) re))) (log (* 2.0 (+ (hypot re im) re))) (exp (* 2.0 (+ (hypot re im) re))) (pow (* 2.0 (+ (hypot re im) re)) 3) (* (cbrt (* 2.0 (+ (hypot re im) re))) (cbrt (* 2.0 (+ (hypot re im) re)))) (cbrt (* 2.0 (+ (hypot re im) re))) (pow (* 2.0 (+ (hypot re im) re)) 3) (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (hypot re im)) (* 2.0 re) (* 2.0 (hypot re im)) (* 2.0 re) (* 2.0 (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (* 2.0 (sqrt (+ (hypot re im) re))) 2.0 2.0 (* (cbrt 2.0) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re)) (* 2.0 (+ (hypot re im) re)) (* 2.0 (+ (pow (hypot re im) 3) (pow re 3))) (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma 2.0 re (* 2.0 im)) (* 4.0 re) 0 1.130 * * * [progress]: adding candidates to table 1.263 * * [progress]: iteration 3 / 4 1.263 * * * [progress]: picking best candidate 1.275 * * * * [pick]: Picked # 1.275 * * * [progress]: localizing error 1.287 * * * [progress]: generating rewritten candidates 1.287 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 1.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2) 1.293 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) 1.296 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.303 * * * [progress]: generating series expansions 1.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 1.303 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.303 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.303 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.303 * [taylor]: Taking taylor expansion of (* re re) in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of (* im im) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.304 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.305 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.305 * [taylor]: Taking taylor expansion of (* re re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (* im im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.306 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.306 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.306 * [taylor]: Taking taylor expansion of (* re re) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (* im im) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.307 * [taylor]: Taking taylor expansion of im in im 1.308 * [taylor]: Taking taylor expansion of 1 in im 1.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.309 * [taylor]: Taking taylor expansion of 1/2 in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.312 * [taylor]: Taking taylor expansion of 0 in im 1.313 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.313 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.313 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.313 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.314 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.314 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.314 * [taylor]: Taking taylor expansion of im in im 1.314 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.314 * [taylor]: Taking taylor expansion of im in im 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.317 * [taylor]: Taking taylor expansion of re in re 1.317 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.317 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.317 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.317 * [taylor]: Taking taylor expansion of re in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.317 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.321 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.321 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.321 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.321 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.321 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.321 * [taylor]: Taking taylor expansion of im in re 1.322 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.322 * [taylor]: Taking taylor expansion of im in re 1.324 * [taylor]: Taking taylor expansion of 2 in im 1.325 * [taylor]: Taking taylor expansion of 0 in im 1.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.328 * [taylor]: Taking taylor expansion of 1/2 in im 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.340 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.340 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.340 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.340 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.340 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.340 * [taylor]: Taking taylor expansion of -1 in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.340 * [taylor]: Taking taylor expansion of -1 in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.340 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.340 * [taylor]: Taking taylor expansion of -1 in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.341 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.341 * [taylor]: Taking taylor expansion of -1 in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.344 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.344 * [taylor]: Taking taylor expansion of re in im 1.344 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.344 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.344 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.344 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.344 * [taylor]: Taking taylor expansion of -1 in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.344 * [taylor]: Taking taylor expansion of -1 in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.345 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.345 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.345 * [taylor]: Taking taylor expansion of -1 in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.345 * [taylor]: Taking taylor expansion of -1 in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.347 * [taylor]: Taking taylor expansion of re in re 1.348 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.348 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.348 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.348 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.348 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.348 * [taylor]: Taking taylor expansion of -1 in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.348 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.348 * [taylor]: Taking taylor expansion of -1 in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.349 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.349 * [taylor]: Taking taylor expansion of -1 in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.349 * [taylor]: Taking taylor expansion of -1 in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of 0 in im 1.353 * [taylor]: Taking taylor expansion of 0 in im 1.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.357 * [taylor]: Taking taylor expansion of 1/2 in im 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.362 * [taylor]: Taking taylor expansion of 0 in im 1.363 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) 1.363 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.363 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.363 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.364 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.364 * [taylor]: Taking taylor expansion of (* re re) in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [taylor]: Taking taylor expansion of (* im im) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.365 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.365 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.365 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.365 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.365 * [taylor]: Taking taylor expansion of (* re re) in re 1.365 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (* im im) in re 1.365 * [taylor]: Taking taylor expansion of im in re 1.365 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.366 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.366 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.366 * [taylor]: Taking taylor expansion of (* re re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* im im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.368 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of 1 in im 1.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.369 * [taylor]: Taking taylor expansion of 1/2 in im 1.369 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of 0 in im 1.374 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.374 * [taylor]: Taking taylor expansion of re in im 1.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.374 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.374 * [taylor]: Taking taylor expansion of re in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.374 * [taylor]: Taking taylor expansion of re in im 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.377 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.378 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.378 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.382 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.382 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of 2 in im 1.386 * [taylor]: Taking taylor expansion of 0 in im 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.389 * [taylor]: Taking taylor expansion of 1/2 in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of 0 in im 1.396 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.396 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.396 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.396 * [taylor]: Taking taylor expansion of -1 in im 1.396 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.396 * [taylor]: Taking taylor expansion of -1 in im 1.396 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.396 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.396 * [taylor]: Taking taylor expansion of -1 in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.396 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.396 * [taylor]: Taking taylor expansion of -1 in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.399 * [taylor]: Taking taylor expansion of re in im 1.399 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.399 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.400 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.400 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.400 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.400 * [taylor]: Taking taylor expansion of -1 in re 1.400 * [taylor]: Taking taylor expansion of re in re 1.400 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.400 * [taylor]: Taking taylor expansion of -1 in re 1.400 * [taylor]: Taking taylor expansion of re in re 1.400 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.400 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.400 * [taylor]: Taking taylor expansion of -1 in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.400 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.400 * [taylor]: Taking taylor expansion of -1 in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.403 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of im in re 1.405 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.405 * [taylor]: Taking taylor expansion of -1 in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of 0 in im 1.409 * [taylor]: Taking taylor expansion of 0 in im 1.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.413 * [taylor]: Taking taylor expansion of 1/2 in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.423 * [taylor]: Taking taylor expansion of 0 in im 1.425 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) 1.425 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.425 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.425 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.425 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.425 * [taylor]: Taking taylor expansion of (* re re) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (* im im) in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.427 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.427 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.427 * [taylor]: Taking taylor expansion of (* re re) in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (* im im) in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.428 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.428 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.428 * [taylor]: Taking taylor expansion of (* re re) in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (* im im) in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of im in im 1.430 * [taylor]: Taking taylor expansion of 1 in im 1.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.431 * [taylor]: Taking taylor expansion of 1/2 in im 1.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.431 * [taylor]: Taking taylor expansion of im in im 1.434 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.435 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.435 * [taylor]: Taking taylor expansion of re in im 1.435 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.435 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.435 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.436 * [taylor]: Taking taylor expansion of re in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.436 * [taylor]: Taking taylor expansion of re in im 1.436 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.439 * [taylor]: Taking taylor expansion of re in re 1.439 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.439 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.439 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.439 * [taylor]: Taking taylor expansion of re in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.443 * [taylor]: Taking taylor expansion of re in re 1.443 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.443 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.443 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.443 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.443 * [taylor]: Taking taylor expansion of re in re 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.443 * [taylor]: Taking taylor expansion of re in re 1.444 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.444 * [taylor]: Taking taylor expansion of im in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.444 * [taylor]: Taking taylor expansion of im in re 1.447 * [taylor]: Taking taylor expansion of 2 in im 1.447 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.450 * [taylor]: Taking taylor expansion of 1/2 in im 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.455 * [taylor]: Taking taylor expansion of 0 in im 1.457 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.457 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.457 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.457 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.457 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.457 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.457 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.457 * [taylor]: Taking taylor expansion of -1 in im 1.457 * [taylor]: Taking taylor expansion of re in im 1.457 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.457 * [taylor]: Taking taylor expansion of -1 in im 1.457 * [taylor]: Taking taylor expansion of re in im 1.457 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.457 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.457 * [taylor]: Taking taylor expansion of -1 in im 1.457 * [taylor]: Taking taylor expansion of im in im 1.458 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.458 * [taylor]: Taking taylor expansion of -1 in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.461 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.461 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.462 * [taylor]: Taking taylor expansion of -1 in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.462 * [taylor]: Taking taylor expansion of -1 in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.465 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.465 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.465 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.465 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.465 * [taylor]: Taking taylor expansion of -1 in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.465 * [taylor]: Taking taylor expansion of -1 in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.465 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.465 * [taylor]: Taking taylor expansion of -1 in re 1.465 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.466 * [taylor]: Taking taylor expansion of -1 in re 1.466 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.468 * [taylor]: Taking taylor expansion of re in re 1.469 * [taylor]: Taking taylor expansion of 0 in im 1.470 * [taylor]: Taking taylor expansion of 0 in im 1.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.473 * [taylor]: Taking taylor expansion of 1/2 in im 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.473 * [taylor]: Taking taylor expansion of im in im 1.478 * [taylor]: Taking taylor expansion of 0 in im 1.480 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.480 * [approximate]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in (re im) around 0 1.480 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in im 1.480 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/6) in im 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (hypot re im))))) in im 1.481 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (hypot re im)))) in im 1.481 * [taylor]: Taking taylor expansion of 1/6 in im 1.481 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.481 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.481 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.481 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.481 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.481 * [taylor]: Taking taylor expansion of (* re re) in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.481 * [taylor]: Taking taylor expansion of (* im im) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.482 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.482 * [taylor]: Taking taylor expansion of 1/3 in im 1.482 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.482 * [taylor]: Taking taylor expansion of 2.0 in im 1.486 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in re 1.486 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/6) in re 1.486 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (hypot re im))))) in re 1.486 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (hypot re im)))) in re 1.486 * [taylor]: Taking taylor expansion of 1/6 in re 1.486 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.486 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.486 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.486 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.486 * [taylor]: Taking taylor expansion of (* re re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (* im im) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.487 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.487 * [taylor]: Taking taylor expansion of 1/3 in re 1.487 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.487 * [taylor]: Taking taylor expansion of 2.0 in re 1.491 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in re 1.491 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/6) in re 1.491 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (hypot re im))))) in re 1.491 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (hypot re im)))) in re 1.491 * [taylor]: Taking taylor expansion of 1/6 in re 1.491 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.491 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.491 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.491 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.491 * [taylor]: Taking taylor expansion of (* re re) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of (* im im) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.493 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.493 * [taylor]: Taking taylor expansion of 1/3 in re 1.493 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.493 * [taylor]: Taking taylor expansion of 2.0 in re 1.497 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) in im 1.497 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.497 * [taylor]: Taking taylor expansion of 1/3 in im 1.497 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.497 * [taylor]: Taking taylor expansion of 2.0 in im 1.500 * [taylor]: Taking taylor expansion of (pow im 1/6) in im 1.500 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log im))) in im 1.500 * [taylor]: Taking taylor expansion of (* 1/6 (log im)) in im 1.500 * [taylor]: Taking taylor expansion of 1/6 in im 1.500 * [taylor]: Taking taylor expansion of (log im) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.507 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) in im 1.507 * [taylor]: Taking taylor expansion of 1/6 in im 1.507 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)) in im 1.507 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.507 * [taylor]: Taking taylor expansion of 1/3 in im 1.507 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.507 * [taylor]: Taking taylor expansion of 2.0 in im 1.516 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/6) in im 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 5))))) in im 1.516 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 5)))) in im 1.516 * [taylor]: Taking taylor expansion of 1/6 in im 1.516 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.516 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.533 * [taylor]: Taking taylor expansion of (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) in im 1.533 * [taylor]: Taking taylor expansion of 1/72 in im 1.533 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)) in im 1.533 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.534 * [taylor]: Taking taylor expansion of 1/3 in im 1.534 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.534 * [taylor]: Taking taylor expansion of 2.0 in im 1.537 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 11)) 1/6) in im 1.537 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 11))))) in im 1.537 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 11)))) in im 1.537 * [taylor]: Taking taylor expansion of 1/6 in im 1.537 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 11))) in im 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 11)) in im 1.537 * [taylor]: Taking taylor expansion of (pow im 11) in im 1.537 * [taylor]: Taking taylor expansion of im in im 1.544 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) (pow (sqrt 2.0) 1/3)) in (re im) around 0 1.544 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) (pow (sqrt 2.0) 1/3)) in im 1.544 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) in im 1.544 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.544 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.544 * [taylor]: Taking taylor expansion of 1/6 in im 1.544 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.544 * [taylor]: Taking taylor expansion of re in im 1.544 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.544 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.544 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.544 * [taylor]: Taking taylor expansion of re in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.545 * [taylor]: Taking taylor expansion of re in im 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.549 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.549 * [taylor]: Taking taylor expansion of 1/3 in im 1.549 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.549 * [taylor]: Taking taylor expansion of 2.0 in im 1.552 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) (pow (sqrt 2.0) 1/3)) in re 1.552 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) in re 1.552 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.552 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.552 * [taylor]: Taking taylor expansion of 1/6 in re 1.552 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.553 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.558 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.558 * [taylor]: Taking taylor expansion of 1/3 in re 1.558 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.558 * [taylor]: Taking taylor expansion of 2.0 in re 1.561 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) (pow (sqrt 2.0) 1/3)) in re 1.561 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/6) in re 1.561 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.561 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.561 * [taylor]: Taking taylor expansion of 1/6 in re 1.561 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.561 * [taylor]: Taking taylor expansion of re in re 1.562 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.562 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.562 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.562 * [taylor]: Taking taylor expansion of re in re 1.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.562 * [taylor]: Taking taylor expansion of re in re 1.562 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.562 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.562 * [taylor]: Taking taylor expansion of im in re 1.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.563 * [taylor]: Taking taylor expansion of im in re 1.567 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.567 * [taylor]: Taking taylor expansion of 1/3 in re 1.567 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.567 * [taylor]: Taking taylor expansion of 2.0 in re 1.571 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) in im 1.571 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.571 * [taylor]: Taking taylor expansion of 1/3 in im 1.571 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.571 * [taylor]: Taking taylor expansion of 2.0 in im 1.575 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im 1.575 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im 1.575 * [taylor]: Taking taylor expansion of 1/6 in im 1.575 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.575 * [taylor]: Taking taylor expansion of (log 2) in im 1.575 * [taylor]: Taking taylor expansion of 2 in im 1.575 * [taylor]: Taking taylor expansion of (log re) in im 1.575 * [taylor]: Taking taylor expansion of re in im 1.584 * [taylor]: Taking taylor expansion of 0 in im 1.609 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))) in im 1.609 * [taylor]: Taking taylor expansion of 1/24 in im 1.609 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))) in im 1.609 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.609 * [taylor]: Taking taylor expansion of 1/3 in im 1.609 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.609 * [taylor]: Taking taylor expansion of 2.0 in im 1.612 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)) in im 1.613 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im 1.613 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im 1.613 * [taylor]: Taking taylor expansion of 1/6 in im 1.613 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.613 * [taylor]: Taking taylor expansion of (log 2) in im 1.613 * [taylor]: Taking taylor expansion of 2 in im 1.613 * [taylor]: Taking taylor expansion of (log re) in im 1.613 * [taylor]: Taking taylor expansion of re in im 1.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.614 * [taylor]: Taking taylor expansion of im in im 1.661 * [taylor]: Taking taylor expansion of 0 in im 1.662 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in (re im) around 0 1.662 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in im 1.662 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.663 * [taylor]: Taking taylor expansion of 1/3 in im 1.663 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.663 * [taylor]: Taking taylor expansion of 2.0 in im 1.666 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in im 1.666 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.666 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.666 * [taylor]: Taking taylor expansion of 1/6 in im 1.666 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.666 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.666 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.666 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.666 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.666 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.666 * [taylor]: Taking taylor expansion of -1 in im 1.666 * [taylor]: Taking taylor expansion of re in im 1.666 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.666 * [taylor]: Taking taylor expansion of -1 in im 1.666 * [taylor]: Taking taylor expansion of re in im 1.667 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.667 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.667 * [taylor]: Taking taylor expansion of -1 in im 1.667 * [taylor]: Taking taylor expansion of im in im 1.667 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.667 * [taylor]: Taking taylor expansion of -1 in im 1.667 * [taylor]: Taking taylor expansion of im in im 1.670 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.670 * [taylor]: Taking taylor expansion of re in im 1.671 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in re 1.671 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.671 * [taylor]: Taking taylor expansion of 1/3 in re 1.671 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.671 * [taylor]: Taking taylor expansion of 2.0 in re 1.674 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in re 1.674 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.674 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.674 * [taylor]: Taking taylor expansion of 1/6 in re 1.674 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.674 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.674 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.675 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.675 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.678 * [taylor]: Taking taylor expansion of re in re 1.684 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in re 1.684 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.684 * [taylor]: Taking taylor expansion of 1/3 in re 1.684 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.684 * [taylor]: Taking taylor expansion of 2.0 in re 1.694 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in re 1.694 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.694 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.694 * [taylor]: Taking taylor expansion of 1/6 in re 1.694 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.694 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.694 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.694 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.694 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.694 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.694 * [taylor]: Taking taylor expansion of -1 in re 1.694 * [taylor]: Taking taylor expansion of re in re 1.694 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.694 * [taylor]: Taking taylor expansion of -1 in re 1.694 * [taylor]: Taking taylor expansion of re in re 1.695 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.695 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.695 * [taylor]: Taking taylor expansion of -1 in re 1.695 * [taylor]: Taking taylor expansion of im in re 1.695 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.695 * [taylor]: Taking taylor expansion of -1 in re 1.695 * [taylor]: Taking taylor expansion of im in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.704 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 1.704 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.704 * [taylor]: Taking taylor expansion of 1/3 in im 1.704 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.704 * [taylor]: Taking taylor expansion of 2.0 in im 1.708 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.708 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.708 * [taylor]: Taking taylor expansion of 1/6 in im 1.708 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.708 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.708 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.708 * [taylor]: Taking taylor expansion of 1/2 in im 1.708 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.709 * [taylor]: Taking taylor expansion of (log re) in im 1.709 * [taylor]: Taking taylor expansion of re in im 1.720 * [taylor]: Taking taylor expansion of 0 in im 1.740 * [taylor]: Taking taylor expansion of (- (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im 1.740 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 1.740 * [taylor]: Taking taylor expansion of 1/24 in im 1.740 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.740 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.740 * [taylor]: Taking taylor expansion of 1/3 in im 1.740 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.740 * [taylor]: Taking taylor expansion of 2.0 in im 1.743 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.743 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.743 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.743 * [taylor]: Taking taylor expansion of 1/6 in im 1.743 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.743 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.743 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.743 * [taylor]: Taking taylor expansion of 1/2 in im 1.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.744 * [taylor]: Taking taylor expansion of (log re) in im 1.744 * [taylor]: Taking taylor expansion of re in im 1.746 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.746 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of 0 in im 1.803 * * * [progress]: simplifying candidates 1.804 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (log1p (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (log (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (exp (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt 1) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3))))) (cbrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))))) (cbrt (sqrt (- (hypot re im) re))) (* (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (* (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (* 1/72 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 11)) 1/6) (pow re 2)))) (+ (* 1/6 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 5)) 1/6) re))) (* (pow (sqrt 2.0) 1/3) (pow im 1/6)))) (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 re)))))) (* (exp (* 1/6 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (pow (sqrt 2.0) 1/3)) 1.808 * * [simplify]: iteration 0 : 228 enodes (cost 369 ) 1.812 * * [simplify]: iteration 1 : 642 enodes (cost 340 ) 1.824 * * [simplify]: iteration 2 : 2531 enodes (cost 337 ) 1.869 * * [simplify]: iteration 3 : 5001 enodes (cost 333 ) 1.871 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (log1p (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (log (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (exp (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (pow (sqrt 2.0) 1/3) (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt 1) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3))))) (cbrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))))) (cbrt (sqrt (- (hypot re im) re))) (* (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (fma (pow (sqrt 2.0) 1/3) (* 1/72 (* (pow (/ 1 (pow im 11)) 1/6) (pow re 2))) (* (pow (sqrt 2.0) 1/3) (+ (* (* (pow (/ 1 (pow im 5)) 1/6) re) 1/6) (pow im 1/6)))) (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 re)))))) (* (exp (* 1/6 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (pow (sqrt 2.0) 1/3)) 1.871 * * * [progress]: adding candidates to table 2.141 * * [progress]: iteration 4 / 4 2.141 * * * [progress]: picking best candidate 2.160 * * * * [pick]: Picked # 2.160 * * * [progress]: localizing error 2.169 * * * [progress]: generating rewritten candidates 2.169 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 2.169 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.172 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 2.176 * * * [progress]: generating series expansions 2.176 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 2.177 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 2.177 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 2.177 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.177 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 2.177 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.177 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.177 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.177 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.177 * [taylor]: Taking taylor expansion of (* re re) in im 2.177 * [taylor]: Taking taylor expansion of re in im 2.177 * [taylor]: Taking taylor expansion of re in im 2.177 * [taylor]: Taking taylor expansion of (* im im) in im 2.177 * [taylor]: Taking taylor expansion of im in im 2.177 * [taylor]: Taking taylor expansion of im in im 2.178 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.178 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.178 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.178 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.178 * [taylor]: Taking taylor expansion of (* re re) in im 2.178 * [taylor]: Taking taylor expansion of re in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.179 * [taylor]: Taking taylor expansion of (* im im) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.180 * [taylor]: Taking taylor expansion of re in im 2.180 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 2.180 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.180 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.180 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.180 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.180 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.180 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.180 * [taylor]: Taking taylor expansion of (* re re) in re 2.180 * [taylor]: Taking taylor expansion of re in re 2.180 * [taylor]: Taking taylor expansion of re in re 2.180 * [taylor]: Taking taylor expansion of (* im im) in re 2.180 * [taylor]: Taking taylor expansion of im in re 2.180 * [taylor]: Taking taylor expansion of im in re 2.181 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.181 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.181 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.181 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.181 * [taylor]: Taking taylor expansion of (* re re) in re 2.182 * [taylor]: Taking taylor expansion of re in re 2.182 * [taylor]: Taking taylor expansion of re in re 2.182 * [taylor]: Taking taylor expansion of (* im im) in re 2.182 * [taylor]: Taking taylor expansion of im in re 2.182 * [taylor]: Taking taylor expansion of im in re 2.183 * [taylor]: Taking taylor expansion of re in re 2.183 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 2.183 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.183 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.183 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.183 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.183 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.183 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.183 * [taylor]: Taking taylor expansion of (* re re) in re 2.183 * [taylor]: Taking taylor expansion of re in re 2.183 * [taylor]: Taking taylor expansion of re in re 2.183 * [taylor]: Taking taylor expansion of (* im im) in re 2.183 * [taylor]: Taking taylor expansion of im in re 2.183 * [taylor]: Taking taylor expansion of im in re 2.184 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.184 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.184 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.184 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.184 * [taylor]: Taking taylor expansion of (* re re) in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.185 * [taylor]: Taking taylor expansion of (* im im) in re 2.185 * [taylor]: Taking taylor expansion of im in re 2.185 * [taylor]: Taking taylor expansion of im in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.186 * [taylor]: Taking taylor expansion of im in im 2.186 * [taylor]: Taking taylor expansion of 1 in im 2.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.191 * [taylor]: Taking taylor expansion of 1/2 in im 2.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.191 * [taylor]: Taking taylor expansion of im in im 2.200 * [taylor]: Taking taylor expansion of 0 in im 2.201 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0 2.201 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 2.202 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.202 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 2.202 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.202 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.202 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.202 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.202 * [taylor]: Taking taylor expansion of re in im 2.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.202 * [taylor]: Taking taylor expansion of re in im 2.202 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.202 * [taylor]: Taking taylor expansion of im in im 2.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.202 * [taylor]: Taking taylor expansion of im in im 2.209 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.210 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.210 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.210 * [taylor]: Taking taylor expansion of re in im 2.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.210 * [taylor]: Taking taylor expansion of re in im 2.210 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.210 * [taylor]: Taking taylor expansion of im in im 2.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.210 * [taylor]: Taking taylor expansion of im in im 2.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.214 * [taylor]: Taking taylor expansion of re in im 2.214 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 2.214 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.214 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.214 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.214 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.214 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.214 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.214 * [taylor]: Taking taylor expansion of re in re 2.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.215 * [taylor]: Taking taylor expansion of re in re 2.215 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.215 * [taylor]: Taking taylor expansion of im in re 2.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.215 * [taylor]: Taking taylor expansion of im in re 2.219 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.219 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.219 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.219 * [taylor]: Taking taylor expansion of re in re 2.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.219 * [taylor]: Taking taylor expansion of re in re 2.219 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.219 * [taylor]: Taking taylor expansion of im in re 2.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.220 * [taylor]: Taking taylor expansion of im in re 2.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.223 * [taylor]: Taking taylor expansion of re in re 2.224 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 2.224 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.224 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.224 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.224 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.224 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.224 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.224 * [taylor]: Taking taylor expansion of re in re 2.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.224 * [taylor]: Taking taylor expansion of re in re 2.225 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.225 * [taylor]: Taking taylor expansion of im in re 2.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.225 * [taylor]: Taking taylor expansion of im in re 2.228 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.228 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.228 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.228 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.228 * [taylor]: Taking taylor expansion of re in re 2.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.229 * [taylor]: Taking taylor expansion of re in re 2.229 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.229 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.229 * [taylor]: Taking taylor expansion of im in re 2.229 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.229 * [taylor]: Taking taylor expansion of im in re 2.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.233 * [taylor]: Taking taylor expansion of re in re 2.234 * [taylor]: Taking taylor expansion of 0 in im 2.234 * [taylor]: Taking taylor expansion of 1 in im 2.240 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.241 * [taylor]: Taking taylor expansion of +nan.0 in im 2.250 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.250 * [taylor]: Taking taylor expansion of +nan.0 in im 2.259 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.259 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.259 * [taylor]: Taking taylor expansion of +nan.0 in im 2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.259 * [taylor]: Taking taylor expansion of im in im 2.259 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.259 * [taylor]: Taking taylor expansion of +nan.0 in im 2.262 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0 2.262 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 2.262 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.262 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 2.262 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.262 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.262 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.262 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.262 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.262 * [taylor]: Taking taylor expansion of -1 in im 2.262 * [taylor]: Taking taylor expansion of re in im 2.262 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.262 * [taylor]: Taking taylor expansion of -1 in im 2.262 * [taylor]: Taking taylor expansion of re in im 2.262 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.263 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.263 * [taylor]: Taking taylor expansion of -1 in im 2.263 * [taylor]: Taking taylor expansion of im in im 2.263 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.263 * [taylor]: Taking taylor expansion of -1 in im 2.263 * [taylor]: Taking taylor expansion of im in im 2.267 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.267 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.267 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.267 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.267 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.267 * [taylor]: Taking taylor expansion of -1 in im 2.267 * [taylor]: Taking taylor expansion of re in im 2.267 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.267 * [taylor]: Taking taylor expansion of -1 in im 2.267 * [taylor]: Taking taylor expansion of re in im 2.267 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.267 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.267 * [taylor]: Taking taylor expansion of -1 in im 2.267 * [taylor]: Taking taylor expansion of im in im 2.268 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.268 * [taylor]: Taking taylor expansion of -1 in im 2.268 * [taylor]: Taking taylor expansion of im in im 2.272 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.272 * [taylor]: Taking taylor expansion of -1 in im 2.272 * [taylor]: Taking taylor expansion of re in im 2.272 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.272 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.272 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.272 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.272 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.272 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.272 * [taylor]: Taking taylor expansion of -1 in re 2.272 * [taylor]: Taking taylor expansion of re in re 2.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.272 * [taylor]: Taking taylor expansion of -1 in re 2.272 * [taylor]: Taking taylor expansion of re in re 2.273 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.273 * [taylor]: Taking taylor expansion of -1 in re 2.273 * [taylor]: Taking taylor expansion of im in re 2.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.273 * [taylor]: Taking taylor expansion of -1 in re 2.273 * [taylor]: Taking taylor expansion of im in re 2.277 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.277 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.277 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.277 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.277 * [taylor]: Taking taylor expansion of -1 in re 2.277 * [taylor]: Taking taylor expansion of re in re 2.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.277 * [taylor]: Taking taylor expansion of -1 in re 2.277 * [taylor]: Taking taylor expansion of re in re 2.277 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.277 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.278 * [taylor]: Taking taylor expansion of -1 in re 2.278 * [taylor]: Taking taylor expansion of im in re 2.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.278 * [taylor]: Taking taylor expansion of -1 in re 2.278 * [taylor]: Taking taylor expansion of im in re 2.281 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.281 * [taylor]: Taking taylor expansion of -1 in re 2.281 * [taylor]: Taking taylor expansion of re in re 2.282 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.282 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.282 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.282 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.282 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.282 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.282 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.282 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.282 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.282 * [taylor]: Taking taylor expansion of -1 in re 2.282 * [taylor]: Taking taylor expansion of re in re 2.282 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.282 * [taylor]: Taking taylor expansion of -1 in re 2.282 * [taylor]: Taking taylor expansion of re in re 2.283 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.283 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.283 * [taylor]: Taking taylor expansion of -1 in re 2.283 * [taylor]: Taking taylor expansion of im in re 2.283 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.283 * [taylor]: Taking taylor expansion of -1 in re 2.283 * [taylor]: Taking taylor expansion of im in re 2.293 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.293 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.293 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.293 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.293 * [taylor]: Taking taylor expansion of -1 in re 2.293 * [taylor]: Taking taylor expansion of re in re 2.294 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.294 * [taylor]: Taking taylor expansion of -1 in re 2.294 * [taylor]: Taking taylor expansion of re in re 2.294 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.294 * [taylor]: Taking taylor expansion of -1 in re 2.294 * [taylor]: Taking taylor expansion of im in re 2.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.294 * [taylor]: Taking taylor expansion of -1 in re 2.294 * [taylor]: Taking taylor expansion of im in re 2.298 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.298 * [taylor]: Taking taylor expansion of -1 in re 2.298 * [taylor]: Taking taylor expansion of re in re 2.299 * [taylor]: Taking taylor expansion of 0 in im 2.299 * [taylor]: Taking taylor expansion of -1 in im 2.306 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.306 * [taylor]: Taking taylor expansion of +nan.0 in im 2.315 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.315 * [taylor]: Taking taylor expansion of +nan.0 in im 2.324 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.324 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.324 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.324 * [taylor]: Taking taylor expansion of +nan.0 in im 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.325 * [taylor]: Taking taylor expansion of im in im 2.325 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.325 * [taylor]: Taking taylor expansion of +nan.0 in im 2.328 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.328 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in (re im) around 0 2.328 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in im 2.328 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im 2.328 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 2.328 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.328 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 2.328 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.328 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.328 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.328 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.328 * [taylor]: Taking taylor expansion of (* re re) in im 2.328 * [taylor]: Taking taylor expansion of re in im 2.328 * [taylor]: Taking taylor expansion of re in im 2.328 * [taylor]: Taking taylor expansion of (* im im) in im 2.328 * [taylor]: Taking taylor expansion of im in im 2.328 * [taylor]: Taking taylor expansion of im in im 2.329 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.329 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.329 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.329 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.329 * [taylor]: Taking taylor expansion of (* re re) in im 2.330 * [taylor]: Taking taylor expansion of re in im 2.330 * [taylor]: Taking taylor expansion of re in im 2.330 * [taylor]: Taking taylor expansion of (* im im) in im 2.330 * [taylor]: Taking taylor expansion of im in im 2.330 * [taylor]: Taking taylor expansion of im in im 2.331 * [taylor]: Taking taylor expansion of re in im 2.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.331 * [taylor]: Taking taylor expansion of 2.0 in im 2.332 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in re 2.332 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 2.332 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 2.332 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.332 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.332 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.332 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.332 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.332 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.332 * [taylor]: Taking taylor expansion of (* re re) in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.332 * [taylor]: Taking taylor expansion of (* im im) in re 2.332 * [taylor]: Taking taylor expansion of im in re 2.332 * [taylor]: Taking taylor expansion of im in re 2.333 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.334 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.334 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.334 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.334 * [taylor]: Taking taylor expansion of (* re re) in re 2.334 * [taylor]: Taking taylor expansion of re in re 2.334 * [taylor]: Taking taylor expansion of re in re 2.334 * [taylor]: Taking taylor expansion of (* im im) in re 2.334 * [taylor]: Taking taylor expansion of im in re 2.334 * [taylor]: Taking taylor expansion of im in re 2.335 * [taylor]: Taking taylor expansion of re in re 2.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.335 * [taylor]: Taking taylor expansion of 2.0 in re 2.336 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in re 2.336 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 2.336 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 2.336 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.336 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.336 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.336 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.337 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.337 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.337 * [taylor]: Taking taylor expansion of (* re re) in re 2.337 * [taylor]: Taking taylor expansion of re in re 2.337 * [taylor]: Taking taylor expansion of re in re 2.337 * [taylor]: Taking taylor expansion of (* im im) in re 2.337 * [taylor]: Taking taylor expansion of im in re 2.337 * [taylor]: Taking taylor expansion of im in re 2.338 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.338 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.338 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.338 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.338 * [taylor]: Taking taylor expansion of (* re re) in re 2.338 * [taylor]: Taking taylor expansion of re in re 2.338 * [taylor]: Taking taylor expansion of re in re 2.338 * [taylor]: Taking taylor expansion of (* im im) in re 2.338 * [taylor]: Taking taylor expansion of im in re 2.338 * [taylor]: Taking taylor expansion of im in re 2.339 * [taylor]: Taking taylor expansion of re in re 2.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.340 * [taylor]: Taking taylor expansion of 2.0 in re 2.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.341 * [taylor]: Taking taylor expansion of 2.0 in im 2.341 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.341 * [taylor]: Taking taylor expansion of im in im 2.343 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.343 * [taylor]: Taking taylor expansion of 1/2 in im 2.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.343 * [taylor]: Taking taylor expansion of 2.0 in im 2.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.344 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.344 * [taylor]: Taking taylor expansion of im in im 2.358 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.359 * [taylor]: Taking taylor expansion of 1/8 in im 2.359 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.359 * [taylor]: Taking taylor expansion of 2.0 in im 2.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.359 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.359 * [taylor]: Taking taylor expansion of im in im 2.375 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0 2.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im 2.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.375 * [taylor]: Taking taylor expansion of 2.0 in im 2.376 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im 2.376 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 2.376 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.376 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 2.376 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.376 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.376 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.376 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.376 * [taylor]: Taking taylor expansion of re in im 2.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.376 * [taylor]: Taking taylor expansion of re in im 2.382 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.382 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.382 * [taylor]: Taking taylor expansion of im in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.383 * [taylor]: Taking taylor expansion of im in im 2.387 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.387 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.387 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.387 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.387 * [taylor]: Taking taylor expansion of re in im 2.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.387 * [taylor]: Taking taylor expansion of re in im 2.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.387 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.387 * [taylor]: Taking taylor expansion of im in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.388 * [taylor]: Taking taylor expansion of im in im 2.392 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.392 * [taylor]: Taking taylor expansion of re in im 2.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 2.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.407 * [taylor]: Taking taylor expansion of 2.0 in re 2.408 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 2.408 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 2.408 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.408 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.408 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.408 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.408 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.408 * [taylor]: Taking taylor expansion of re in re 2.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.409 * [taylor]: Taking taylor expansion of re in re 2.409 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.409 * [taylor]: Taking taylor expansion of im in re 2.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.409 * [taylor]: Taking taylor expansion of im in re 2.413 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.413 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.413 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.413 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.413 * [taylor]: Taking taylor expansion of im in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.413 * [taylor]: Taking taylor expansion of im in re 2.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.417 * [taylor]: Taking taylor expansion of re in re 2.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 2.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.419 * [taylor]: Taking taylor expansion of 2.0 in re 2.420 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 2.420 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 2.420 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.420 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.420 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.420 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.420 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.420 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.420 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.420 * [taylor]: Taking taylor expansion of re in re 2.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.421 * [taylor]: Taking taylor expansion of re in re 2.421 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.421 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.421 * [taylor]: Taking taylor expansion of im in re 2.421 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.421 * [taylor]: Taking taylor expansion of im in re 2.425 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.425 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.425 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.425 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.425 * [taylor]: Taking taylor expansion of re in re 2.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.426 * [taylor]: Taking taylor expansion of re in re 2.426 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.426 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.426 * [taylor]: Taking taylor expansion of im in re 2.426 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.426 * [taylor]: Taking taylor expansion of im in re 2.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.429 * [taylor]: Taking taylor expansion of re in re 2.432 * [taylor]: Taking taylor expansion of 0 in im 2.433 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.434 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.434 * [taylor]: Taking taylor expansion of +nan.0 in im 2.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.434 * [taylor]: Taking taylor expansion of 2.0 in im 2.447 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.447 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.447 * [taylor]: Taking taylor expansion of +nan.0 in im 2.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.447 * [taylor]: Taking taylor expansion of 2.0 in im 2.471 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.471 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.471 * [taylor]: Taking taylor expansion of +nan.0 in im 2.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.471 * [taylor]: Taking taylor expansion of 2.0 in im 2.478 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in (re im) around 0 2.478 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in im 2.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.478 * [taylor]: Taking taylor expansion of 2.0 in im 2.479 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im 2.479 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 2.479 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.479 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 2.479 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.479 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.480 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.480 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.480 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.480 * [taylor]: Taking taylor expansion of -1 in im 2.480 * [taylor]: Taking taylor expansion of re in im 2.480 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.480 * [taylor]: Taking taylor expansion of -1 in im 2.480 * [taylor]: Taking taylor expansion of re in im 2.480 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.480 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.480 * [taylor]: Taking taylor expansion of -1 in im 2.480 * [taylor]: Taking taylor expansion of im in im 2.480 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.480 * [taylor]: Taking taylor expansion of -1 in im 2.480 * [taylor]: Taking taylor expansion of im in im 2.484 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.484 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.484 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.484 * [taylor]: Taking taylor expansion of -1 in im 2.484 * [taylor]: Taking taylor expansion of re in im 2.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.484 * [taylor]: Taking taylor expansion of -1 in im 2.484 * [taylor]: Taking taylor expansion of re in im 2.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.484 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.484 * [taylor]: Taking taylor expansion of -1 in im 2.485 * [taylor]: Taking taylor expansion of im in im 2.485 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.485 * [taylor]: Taking taylor expansion of -1 in im 2.485 * [taylor]: Taking taylor expansion of im in im 2.489 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.489 * [taylor]: Taking taylor expansion of -1 in im 2.489 * [taylor]: Taking taylor expansion of re in im 2.505 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 2.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.505 * [taylor]: Taking taylor expansion of 2.0 in re 2.506 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 2.506 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.506 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.506 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.506 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.506 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.506 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.506 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.506 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.506 * [taylor]: Taking taylor expansion of -1 in re 2.506 * [taylor]: Taking taylor expansion of re in re 2.506 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.506 * [taylor]: Taking taylor expansion of -1 in re 2.506 * [taylor]: Taking taylor expansion of re in re 2.507 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.507 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.507 * [taylor]: Taking taylor expansion of -1 in re 2.507 * [taylor]: Taking taylor expansion of im in re 2.507 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.507 * [taylor]: Taking taylor expansion of -1 in re 2.507 * [taylor]: Taking taylor expansion of im in re 2.511 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.511 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.511 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.511 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.511 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.511 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.511 * [taylor]: Taking taylor expansion of -1 in re 2.511 * [taylor]: Taking taylor expansion of re in re 2.511 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.511 * [taylor]: Taking taylor expansion of -1 in re 2.511 * [taylor]: Taking taylor expansion of re in re 2.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.511 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.511 * [taylor]: Taking taylor expansion of -1 in re 2.511 * [taylor]: Taking taylor expansion of im in re 2.512 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.512 * [taylor]: Taking taylor expansion of -1 in re 2.512 * [taylor]: Taking taylor expansion of im in re 2.515 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.515 * [taylor]: Taking taylor expansion of -1 in re 2.515 * [taylor]: Taking taylor expansion of re in re 2.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 2.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.518 * [taylor]: Taking taylor expansion of 2.0 in re 2.518 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 2.518 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.519 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.519 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.519 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.519 * [taylor]: Taking taylor expansion of -1 in re 2.519 * [taylor]: Taking taylor expansion of re in re 2.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.519 * [taylor]: Taking taylor expansion of -1 in re 2.519 * [taylor]: Taking taylor expansion of re in re 2.519 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.519 * [taylor]: Taking taylor expansion of -1 in re 2.519 * [taylor]: Taking taylor expansion of im in re 2.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.520 * [taylor]: Taking taylor expansion of -1 in re 2.520 * [taylor]: Taking taylor expansion of im in re 2.523 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.524 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.524 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.524 * [taylor]: Taking taylor expansion of -1 in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.524 * [taylor]: Taking taylor expansion of -1 in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.524 * [taylor]: Taking taylor expansion of -1 in re 2.524 * [taylor]: Taking taylor expansion of im in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.525 * [taylor]: Taking taylor expansion of -1 in re 2.525 * [taylor]: Taking taylor expansion of im in re 2.528 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.528 * [taylor]: Taking taylor expansion of -1 in re 2.528 * [taylor]: Taking taylor expansion of re in re 2.531 * [taylor]: Taking taylor expansion of 0 in im 2.532 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.532 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.532 * [taylor]: Taking taylor expansion of +nan.0 in im 2.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.532 * [taylor]: Taking taylor expansion of 2.0 in im 2.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.546 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.546 * [taylor]: Taking taylor expansion of +nan.0 in im 2.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.546 * [taylor]: Taking taylor expansion of 2.0 in im 2.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.571 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.571 * [taylor]: Taking taylor expansion of +nan.0 in im 2.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.571 * [taylor]: Taking taylor expansion of 2.0 in im 2.577 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 2.578 * [approximate]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in (re im) around 0 2.578 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im 2.578 * [taylor]: Taking taylor expansion of 2.0 in im 2.578 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 2.578 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.578 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 2.578 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.578 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.578 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.578 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.578 * [taylor]: Taking taylor expansion of (* re re) in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [taylor]: Taking taylor expansion of (* im im) in im 2.578 * [taylor]: Taking taylor expansion of im in im 2.578 * [taylor]: Taking taylor expansion of im in im 2.579 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.579 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.579 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.579 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.579 * [taylor]: Taking taylor expansion of (* re re) in im 2.579 * [taylor]: Taking taylor expansion of re in im 2.579 * [taylor]: Taking taylor expansion of re in im 2.579 * [taylor]: Taking taylor expansion of (* im im) in im 2.579 * [taylor]: Taking taylor expansion of im in im 2.579 * [taylor]: Taking taylor expansion of im in im 2.581 * [taylor]: Taking taylor expansion of re in im 2.581 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 2.581 * [taylor]: Taking taylor expansion of 2.0 in re 2.581 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 2.581 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.581 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.581 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.581 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.581 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.581 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.581 * [taylor]: Taking taylor expansion of (* re re) in re 2.581 * [taylor]: Taking taylor expansion of re in re 2.581 * [taylor]: Taking taylor expansion of re in re 2.581 * [taylor]: Taking taylor expansion of (* im im) in re 2.581 * [taylor]: Taking taylor expansion of im in re 2.581 * [taylor]: Taking taylor expansion of im in re 2.582 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.582 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.582 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.582 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.582 * [taylor]: Taking taylor expansion of (* re re) in re 2.582 * [taylor]: Taking taylor expansion of re in re 2.582 * [taylor]: Taking taylor expansion of re in re 2.582 * [taylor]: Taking taylor expansion of (* im im) in re 2.582 * [taylor]: Taking taylor expansion of im in re 2.582 * [taylor]: Taking taylor expansion of im in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 2.584 * [taylor]: Taking taylor expansion of 2.0 in re 2.584 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 2.584 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.584 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.584 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.584 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.584 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.584 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.584 * [taylor]: Taking taylor expansion of (* re re) in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of (* im im) in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.585 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.585 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.585 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.585 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.585 * [taylor]: Taking taylor expansion of (* re re) in re 2.585 * [taylor]: Taking taylor expansion of re in re 2.585 * [taylor]: Taking taylor expansion of re in re 2.585 * [taylor]: Taking taylor expansion of (* im im) in re 2.585 * [taylor]: Taking taylor expansion of im in re 2.585 * [taylor]: Taking taylor expansion of im in re 2.587 * [taylor]: Taking taylor expansion of re in re 2.587 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 2.587 * [taylor]: Taking taylor expansion of 2.0 in im 2.587 * [taylor]: Taking taylor expansion of im in im 2.588 * [taylor]: Taking taylor expansion of 2.0 in im 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im 2.594 * [taylor]: Taking taylor expansion of 1.0 in im 2.594 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.594 * [taylor]: Taking taylor expansion of im in im 2.599 * [taylor]: Taking taylor expansion of 0 in im 2.601 * [approximate]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in (re im) around 0 2.601 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im 2.601 * [taylor]: Taking taylor expansion of 2.0 in im 2.601 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 2.601 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.601 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 2.601 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.601 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.601 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.601 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.601 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.601 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.601 * [taylor]: Taking taylor expansion of re in im 2.601 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.601 * [taylor]: Taking taylor expansion of re in im 2.601 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.601 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.601 * [taylor]: Taking taylor expansion of im in im 2.602 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.602 * [taylor]: Taking taylor expansion of im in im 2.605 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.605 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.606 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.606 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.606 * [taylor]: Taking taylor expansion of re in im 2.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.606 * [taylor]: Taking taylor expansion of re in im 2.606 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.606 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.606 * [taylor]: Taking taylor expansion of im in im 2.606 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.606 * [taylor]: Taking taylor expansion of im in im 2.610 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.610 * [taylor]: Taking taylor expansion of re in im 2.610 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 2.610 * [taylor]: Taking taylor expansion of 2.0 in re 2.610 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 2.610 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.610 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.610 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.610 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.610 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.610 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.610 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.610 * [taylor]: Taking taylor expansion of re in re 2.611 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.611 * [taylor]: Taking taylor expansion of re in re 2.611 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.611 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.611 * [taylor]: Taking taylor expansion of im in re 2.611 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.611 * [taylor]: Taking taylor expansion of im in re 2.615 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.615 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.615 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.615 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.615 * [taylor]: Taking taylor expansion of re in re 2.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.615 * [taylor]: Taking taylor expansion of re in re 2.615 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.615 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.615 * [taylor]: Taking taylor expansion of im in re 2.615 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.615 * [taylor]: Taking taylor expansion of im in re 2.619 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.619 * [taylor]: Taking taylor expansion of re in re 2.619 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 2.619 * [taylor]: Taking taylor expansion of 2.0 in re 2.619 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 2.620 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.620 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.620 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.620 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.620 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.620 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.620 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.620 * [taylor]: Taking taylor expansion of re in re 2.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.620 * [taylor]: Taking taylor expansion of re in re 2.620 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.620 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.620 * [taylor]: Taking taylor expansion of im in re 2.620 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.620 * [taylor]: Taking taylor expansion of im in re 2.624 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.624 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.624 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.624 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.624 * [taylor]: Taking taylor expansion of re in re 2.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.625 * [taylor]: Taking taylor expansion of re in re 2.625 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.625 * [taylor]: Taking taylor expansion of im in re 2.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.625 * [taylor]: Taking taylor expansion of im in re 2.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.629 * [taylor]: Taking taylor expansion of re in re 2.630 * [taylor]: Taking taylor expansion of 0 in im 2.631 * [taylor]: Taking taylor expansion of 2.0 in im 2.639 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.639 * [taylor]: Taking taylor expansion of +nan.0 in im 2.657 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.657 * [taylor]: Taking taylor expansion of +nan.0 in im 2.667 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.667 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.667 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.667 * [taylor]: Taking taylor expansion of +nan.0 in im 2.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.667 * [taylor]: Taking taylor expansion of im in im 2.667 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.667 * [taylor]: Taking taylor expansion of +nan.0 in im 2.670 * [approximate]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in (re im) around 0 2.670 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im 2.670 * [taylor]: Taking taylor expansion of 2.0 in im 2.670 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 2.670 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.670 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 2.670 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.670 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.670 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.670 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.670 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.670 * [taylor]: Taking taylor expansion of -1 in im 2.670 * [taylor]: Taking taylor expansion of re in im 2.671 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.671 * [taylor]: Taking taylor expansion of -1 in im 2.671 * [taylor]: Taking taylor expansion of re in im 2.671 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.671 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.671 * [taylor]: Taking taylor expansion of -1 in im 2.671 * [taylor]: Taking taylor expansion of im in im 2.671 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.671 * [taylor]: Taking taylor expansion of -1 in im 2.671 * [taylor]: Taking taylor expansion of im in im 2.675 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.675 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.675 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.675 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.675 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.675 * [taylor]: Taking taylor expansion of -1 in im 2.675 * [taylor]: Taking taylor expansion of re in im 2.676 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.676 * [taylor]: Taking taylor expansion of -1 in im 2.676 * [taylor]: Taking taylor expansion of re in im 2.676 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.676 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.676 * [taylor]: Taking taylor expansion of -1 in im 2.676 * [taylor]: Taking taylor expansion of im in im 2.676 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.676 * [taylor]: Taking taylor expansion of -1 in im 2.676 * [taylor]: Taking taylor expansion of im in im 2.680 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.680 * [taylor]: Taking taylor expansion of -1 in im 2.680 * [taylor]: Taking taylor expansion of re in im 2.680 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 2.680 * [taylor]: Taking taylor expansion of 2.0 in re 2.680 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.680 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.680 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.680 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.680 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.680 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.680 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.680 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.680 * [taylor]: Taking taylor expansion of -1 in re 2.680 * [taylor]: Taking taylor expansion of re in re 2.681 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.681 * [taylor]: Taking taylor expansion of -1 in re 2.681 * [taylor]: Taking taylor expansion of re in re 2.681 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.681 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.681 * [taylor]: Taking taylor expansion of -1 in re 2.681 * [taylor]: Taking taylor expansion of im in re 2.681 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.681 * [taylor]: Taking taylor expansion of -1 in re 2.681 * [taylor]: Taking taylor expansion of im in re 2.685 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.685 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.685 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.685 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.685 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.685 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.685 * [taylor]: Taking taylor expansion of -1 in re 2.685 * [taylor]: Taking taylor expansion of re in re 2.685 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.685 * [taylor]: Taking taylor expansion of -1 in re 2.685 * [taylor]: Taking taylor expansion of re in re 2.686 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.686 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.686 * [taylor]: Taking taylor expansion of -1 in re 2.686 * [taylor]: Taking taylor expansion of im in re 2.686 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.686 * [taylor]: Taking taylor expansion of -1 in re 2.686 * [taylor]: Taking taylor expansion of im in re 2.689 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.690 * [taylor]: Taking taylor expansion of -1 in re 2.690 * [taylor]: Taking taylor expansion of re in re 2.690 * [taylor]: Taking taylor expansion of (* 2.0 (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 2.690 * [taylor]: Taking taylor expansion of 2.0 in re 2.690 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.690 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.690 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.690 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.690 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.690 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.690 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.690 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.690 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.690 * [taylor]: Taking taylor expansion of -1 in re 2.690 * [taylor]: Taking taylor expansion of re in re 2.691 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.691 * [taylor]: Taking taylor expansion of -1 in re 2.691 * [taylor]: Taking taylor expansion of re in re 2.691 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.691 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.691 * [taylor]: Taking taylor expansion of -1 in re 2.691 * [taylor]: Taking taylor expansion of im in re 2.691 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.691 * [taylor]: Taking taylor expansion of -1 in re 2.691 * [taylor]: Taking taylor expansion of im in re 2.695 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.695 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.695 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.695 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.695 * [taylor]: Taking taylor expansion of -1 in re 2.695 * [taylor]: Taking taylor expansion of re in re 2.695 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.695 * [taylor]: Taking taylor expansion of -1 in re 2.695 * [taylor]: Taking taylor expansion of re in re 2.696 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.696 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.696 * [taylor]: Taking taylor expansion of -1 in re 2.696 * [taylor]: Taking taylor expansion of im in re 2.696 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.696 * [taylor]: Taking taylor expansion of -1 in re 2.696 * [taylor]: Taking taylor expansion of im in re 2.699 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.699 * [taylor]: Taking taylor expansion of -1 in re 2.699 * [taylor]: Taking taylor expansion of re in re 2.701 * [taylor]: Taking taylor expansion of 0 in im 2.702 * [taylor]: Taking taylor expansion of (- 2.0) in im 2.702 * [taylor]: Taking taylor expansion of 2.0 in im 2.710 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.710 * [taylor]: Taking taylor expansion of +nan.0 in im 2.721 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.721 * [taylor]: Taking taylor expansion of +nan.0 in im 2.732 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.732 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.732 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.732 * [taylor]: Taking taylor expansion of +nan.0 in im 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.732 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.732 * [taylor]: Taking taylor expansion of im in im 2.733 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.733 * [taylor]: Taking taylor expansion of +nan.0 in im 2.742 * * * [progress]: simplifying candidates 2.742 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (expm1 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log1p (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (exp (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (* (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (expm1 (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (log1p (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (+ (log 2.0) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (log (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (exp (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (* (* 2.0 2.0) 2.0) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (cbrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (* (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 2.0 re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) 2.0) (* re 2.0) (* 2.0 (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* 2.0 (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* 2.0 1) (* (cbrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (+ re im) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (* 2.0 re) (* 2.0 im)) (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 2.747 * * [simplify]: iteration 0 : 193 enodes (cost 429 ) 2.751 * * [simplify]: iteration 1 : 702 enodes (cost 357 ) 2.765 * * [simplify]: iteration 2 : 3174 enodes (cost 327 ) 2.819 * * [simplify]: iteration 3 : 5002 enodes (cost 323 ) 2.821 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (pow E (+ re (hypot re im))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (/ (pow (* (+ re (hypot re im)) 2) 3) 8) (hypot (sqrt (hypot re im)) (pow re 1/2)) (hypot (sqrt (hypot re im)) (pow re 1/2)) (expm1 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log1p (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (exp (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (pow (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 3) (sqrt 2.0) (hypot (sqrt (hypot re im)) (pow re 1/2)) 1/2 1/2 (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (expm1 (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (log1p (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (fma (hypot re im) 2.0 (* 2.0 re)) (log (fma (hypot re im) 2.0 (* 2.0 re))) (log (fma (hypot re im) 2.0 (* 2.0 re))) (exp (fma (hypot re im) 2.0 (* 2.0 re))) (/ (pow (* (+ re (hypot re im)) (* 2 2.0)) 3) 8) (* (cbrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (/ (pow (* (+ re (hypot re im)) (* 2 2.0)) 3) 8) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (hypot re im) 2.0) (* 2.0 re) (* (hypot re im) 2.0) (* 2.0 re) (* 2.0 (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* 2.0 (hypot (sqrt (hypot re im)) (pow re 1/2))) 2.0 (fma (cbrt 2.0) (hypot re im) (* (cbrt 2.0) re)) (fma (sqrt 2.0) (hypot re im) (* (sqrt 2.0) re)) (fma (hypot re im) 2.0 (* 2.0 re)) (+ re im) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (fma 2.0 re (* 2.0 im)) (fma 2.0 re (- (fma +nan.0 (/ (pow im 2) (pow re 2)) (- +nan.0)))) (fma 2.0 re (- (fma +nan.0 (/ (pow im 2) (pow re 2)) (- +nan.0)))) 2.821 * * * [progress]: adding candidates to table 3.075 * [progress]: [Phase 3 of 3] Extracting. 3.075 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.081 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 3.081 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 3.127 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 3.166 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 3.211 * * * [regime]: Found split indices: #