19.011 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.034 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.050 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.065 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.085 * [taylor]: Taking taylor expansion of 1/2 in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.088 * [taylor]: Taking taylor expansion of re in im 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 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of 1 in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of 1/2 in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.102 * [taylor]: Taking taylor expansion of re in im 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.104 * [taylor]: Taking taylor expansion of im in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.104 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.109 * [taylor]: Taking taylor expansion of 1 in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of 1/2 in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.115 * * * * [progress]: [ 2 / 3 ] 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 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (+ 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 (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 1 in im 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.119 * [taylor]: Taking taylor expansion of 1/2 in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.123 * [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 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [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 0.140 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.140 * [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 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.143 * [taylor]: Taking taylor expansion of re in im 0.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.153 * [taylor]: Taking taylor expansion of 1/2 in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.164 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.165 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.165 * [taylor]: Taking taylor expansion of 2.0 in im 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.165 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.166 * [taylor]: Taking taylor expansion of 2.0 in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.167 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.168 * [taylor]: Taking taylor expansion of 2.0 in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.169 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.170 * [taylor]: Taking taylor expansion of 2.0 in im 0.171 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.172 * [taylor]: Taking taylor expansion of 1/2 in im 0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.173 * [taylor]: Taking taylor expansion of 2.0 in im 0.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.184 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.184 * [taylor]: Taking taylor expansion of 1/8 in im 0.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.184 * [taylor]: Taking taylor expansion of 2.0 in im 0.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.185 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.200 * [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 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.200 * [taylor]: Taking taylor expansion of 2.0 in im 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.209 * [taylor]: Taking taylor expansion of 2.0 in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.210 * [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 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.215 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.215 * [taylor]: Taking taylor expansion of +nan.0 in im 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.215 * [taylor]: Taking taylor expansion of 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 (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 0.221 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.229 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.229 * [taylor]: Taking taylor expansion of +nan.0 in im 0.229 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.229 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.231 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.231 * [taylor]: Taking taylor expansion of +nan.0 in im 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.231 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.241 * [taylor]: Taking taylor expansion of +nan.0 in im 0.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.249 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [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 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.264 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.267 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.267 * [taylor]: Taking taylor expansion of re in im 0.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.268 * [taylor]: Taking taylor expansion of 2.0 in re 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.276 * [taylor]: Taking taylor expansion of 2.0 in re 0.277 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.277 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.280 * [taylor]: Taking taylor expansion of re in re 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.286 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.286 * [taylor]: Taking taylor expansion of +nan.0 in im 0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.286 * [taylor]: Taking taylor expansion of 2.0 in im 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.294 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.294 * [taylor]: Taking taylor expansion of 2.0 in im 0.294 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.310 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.310 * [taylor]: Taking taylor expansion of +nan.0 in im 0.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.310 * [taylor]: Taking taylor expansion of 2.0 in im 0.311 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.311 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.312 * [taylor]: Taking taylor expansion of +nan.0 in im 0.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.312 * [taylor]: Taking taylor expansion of 2.0 in im 0.313 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.342 * * * [progress]: simplifying candidates 0.343 * [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)))) 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 0.347 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.352 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.365 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.411 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.413 * [simplify]: Simplified to: (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)))) (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 (+ (sqrt (+ (* re re) (* im im))) re)) (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) (- (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)))) im re (* -1 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 0.414 * * * [progress]: adding candidates to table 0.588 * * [progress]: iteration 2 / 4 0.588 * * * [progress]: picking best candidate 0.598 * * * * [pick]: Picked # 0.598 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.607 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 2) 0.609 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.620 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2 2) 0.621 * * * [progress]: generating series expansions 0.621 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 2) 0.621 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.621 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.621 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.621 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.621 * [taylor]: Taking taylor expansion of (* re re) in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (* im im) in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.623 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.623 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.623 * [taylor]: Taking taylor expansion of (* re re) in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (* im im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.624 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.624 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.624 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.624 * [taylor]: Taking taylor expansion of (* re re) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.624 * [taylor]: Taking taylor expansion of (* im im) in re 0.624 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of im in im 0.626 * [taylor]: Taking taylor expansion of 1 in im 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.627 * [taylor]: Taking taylor expansion of 1/2 in im 0.627 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.627 * [taylor]: Taking taylor expansion of im in im 0.630 * [taylor]: Taking taylor expansion of 0 in im 0.631 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.631 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.631 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.631 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.631 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.631 * [taylor]: Taking taylor expansion of re in im 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.631 * [taylor]: Taking taylor expansion of re in im 0.631 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.632 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.634 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.635 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.635 * [taylor]: Taking taylor expansion of im in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.635 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.638 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.638 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.639 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.639 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.639 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.639 * [taylor]: Taking taylor expansion of im in re 0.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.642 * [taylor]: Taking taylor expansion of 2 in im 0.642 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.645 * [taylor]: Taking taylor expansion of 1/2 in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.657 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.657 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.657 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.657 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.657 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.660 * [taylor]: Taking taylor expansion of re in im 0.660 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.660 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.660 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.660 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.660 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.660 * [taylor]: Taking taylor expansion of -1 in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.661 * [taylor]: Taking taylor expansion of -1 in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.661 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.661 * [taylor]: Taking taylor expansion of -1 in re 0.661 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.661 * [taylor]: Taking taylor expansion of -1 in re 0.661 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.664 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.664 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.664 * [taylor]: Taking taylor expansion of -1 in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.669 * [taylor]: Taking taylor expansion of 0 in im 0.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.672 * [taylor]: Taking taylor expansion of 1/2 in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of 0 in im 0.679 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.679 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.679 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.679 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.679 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.679 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.679 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.679 * [taylor]: Taking taylor expansion of (* re re) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [taylor]: Taking taylor expansion of (* im im) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.681 * [taylor]: Taking taylor expansion of 2.0 in im 0.681 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.681 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.681 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.682 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.682 * [taylor]: Taking taylor expansion of (* re re) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (* im im) in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.683 * [taylor]: Taking taylor expansion of 2.0 in re 0.684 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.684 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.684 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.684 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.684 * [taylor]: Taking taylor expansion of (* re re) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (* im im) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.686 * [taylor]: Taking taylor expansion of 2.0 in re 0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.687 * [taylor]: Taking taylor expansion of 2.0 in im 0.687 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.689 * [taylor]: Taking taylor expansion of 1/2 in im 0.689 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.689 * [taylor]: Taking taylor expansion of 2.0 in im 0.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.690 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.701 * [taylor]: Taking taylor expansion of 1/8 in im 0.701 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.701 * [taylor]: Taking taylor expansion of 2.0 in im 0.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.701 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.716 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.716 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.719 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.721 * [taylor]: Taking taylor expansion of 2.0 in im 0.721 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.721 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.722 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.726 * [taylor]: Taking taylor expansion of 2.0 in re 0.727 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.727 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.727 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.727 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.727 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.728 * [taylor]: Taking taylor expansion of im in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.728 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.732 * [taylor]: Taking taylor expansion of 2.0 in re 0.733 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.740 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.740 * [taylor]: Taking taylor expansion of +nan.0 in im 0.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.740 * [taylor]: Taking taylor expansion of 2.0 in im 0.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.746 * [taylor]: Taking taylor expansion of +nan.0 in im 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.746 * [taylor]: Taking taylor expansion of 2.0 in im 0.755 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.755 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.755 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.755 * [taylor]: Taking taylor expansion of +nan.0 in im 0.755 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.755 * [taylor]: Taking taylor expansion of 2.0 in im 0.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.757 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.757 * [taylor]: Taking taylor expansion of +nan.0 in im 0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.757 * [taylor]: Taking taylor expansion of 2.0 in im 0.768 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.768 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.768 * [taylor]: Taking taylor expansion of +nan.0 in im 0.768 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.768 * [taylor]: Taking taylor expansion of 2.0 in im 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.770 * [taylor]: Taking taylor expansion of +nan.0 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 0.782 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.783 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.783 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.783 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.783 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.783 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.783 * [taylor]: Taking taylor expansion of -1 in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.784 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.787 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.787 * [taylor]: Taking taylor expansion of re in im 0.788 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.788 * [taylor]: Taking taylor expansion of 2.0 in re 0.789 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.789 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.789 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.789 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.789 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.789 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.789 * [taylor]: Taking taylor expansion of -1 in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.789 * [taylor]: Taking taylor expansion of -1 in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.798 * [taylor]: Taking taylor expansion of 2.0 in re 0.798 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.798 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.798 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.798 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.798 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.798 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.798 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.798 * [taylor]: Taking taylor expansion of -1 in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.799 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.799 * [taylor]: Taking taylor expansion of -1 in re 0.799 * [taylor]: Taking taylor expansion of re in re 0.799 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.799 * [taylor]: Taking taylor expansion of -1 in re 0.799 * [taylor]: Taking taylor expansion of im in re 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.799 * [taylor]: Taking taylor expansion of -1 in re 0.799 * [taylor]: Taking taylor expansion of im in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.807 * [taylor]: Taking taylor expansion of 0 in im 0.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.808 * [taylor]: Taking taylor expansion of +nan.0 in im 0.808 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.817 * [taylor]: Taking taylor expansion of +nan.0 in im 0.817 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.817 * [taylor]: Taking taylor expansion of 2.0 in im 0.817 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.840 * [taylor]: Taking taylor expansion of +nan.0 in im 0.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.840 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.841 * [taylor]: Taking taylor expansion of +nan.0 in im 0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.841 * [taylor]: Taking taylor expansion of 2.0 in im 0.842 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.864 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2 2) 0.864 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.864 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.864 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.864 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.864 * [taylor]: Taking taylor expansion of (* re re) in im 0.864 * [taylor]: Taking taylor expansion of re in im 0.864 * [taylor]: Taking taylor expansion of re in im 0.864 * [taylor]: Taking taylor expansion of (* im im) in im 0.864 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.865 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.865 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.865 * [taylor]: Taking taylor expansion of (* re re) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of (* im im) in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.867 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.867 * [taylor]: Taking taylor expansion of (* re re) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [taylor]: Taking taylor expansion of (* im im) in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of im in im 0.868 * [taylor]: Taking taylor expansion of 0 in im 0.869 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.869 * [taylor]: Taking taylor expansion of 1/2 in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.872 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.872 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.872 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.872 * [taylor]: Taking taylor expansion of re in im 0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.872 * [taylor]: Taking taylor expansion of re in im 0.872 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.872 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.873 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.873 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.876 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.876 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.876 * [taylor]: Taking taylor expansion of re in re 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.876 * [taylor]: Taking taylor expansion of re in re 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.876 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.876 * [taylor]: Taking taylor expansion of im in re 0.876 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.876 * [taylor]: Taking taylor expansion of im 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 re in re 0.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.879 * [taylor]: Taking taylor expansion of re in re 0.879 * [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 im in re 0.880 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.882 * [taylor]: Taking taylor expansion of 1 in im 0.882 * [taylor]: Taking taylor expansion of 0 in im 0.885 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.885 * [taylor]: Taking taylor expansion of 1/2 in im 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.885 * [taylor]: Taking taylor expansion of im in im 0.888 * [taylor]: Taking taylor expansion of 0 in im 0.889 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.889 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 0.890 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of re in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of re in im 0.890 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.893 * [taylor]: Taking taylor expansion of -1 in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.893 * [taylor]: Taking taylor expansion of -1 in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.894 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.894 * [taylor]: Taking taylor expansion of -1 in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.894 * [taylor]: Taking taylor expansion of -1 in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.896 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.896 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.896 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.896 * [taylor]: Taking taylor expansion of -1 in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.900 * [taylor]: Taking taylor expansion of 1 in im 0.900 * [taylor]: Taking taylor expansion of 0 in im 0.909 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.909 * [taylor]: Taking taylor expansion of 1/2 in im 0.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.909 * [taylor]: Taking taylor expansion of im in im 0.912 * [taylor]: Taking taylor expansion of 0 in im 0.913 * * * [progress]: simplifying candidates 0.914 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ 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 im re (* -1 re) 0.918 * * [simplify]: iteration 0 : 208 enodes (cost 209 ) 0.922 * * [simplify]: iteration 1 : 808 enodes (cost 191 ) 0.935 * * [simplify]: iteration 2 : 3269 enodes (cost 185 ) 0.993 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 0.994 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 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))) 0 im re (* -1 re) 0.994 * * * [progress]: adding candidates to table 1.132 * * [progress]: iteration 3 / 4 1.132 * * * [progress]: picking best candidate 1.151 * * * * [pick]: Picked # 1.151 * * * [progress]: localizing error 1.167 * * * [progress]: generating rewritten candidates 1.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.169 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.172 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.267 * * * [progress]: generating series expansions 1.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 1.267 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.267 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.267 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.267 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.267 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.267 * [taylor]: Taking taylor expansion of (* re re) in im 1.267 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (* im im) in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.269 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.269 * [taylor]: Taking taylor expansion of (* re re) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (* im im) in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.270 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.270 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.270 * [taylor]: Taking taylor expansion of (* re re) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (* im im) in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.271 * [taylor]: Taking taylor expansion of im in im 1.272 * [taylor]: Taking taylor expansion of 1 in im 1.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.273 * [taylor]: Taking taylor expansion of 1/2 in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.276 * [taylor]: Taking taylor expansion of 0 in im 1.277 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.277 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.277 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.277 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.280 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.280 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.281 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.281 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.281 * [taylor]: Taking taylor expansion of im in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.281 * [taylor]: Taking taylor expansion of im in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.284 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.284 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.284 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.284 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.287 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of 2 in im 1.288 * [taylor]: Taking taylor expansion of 0 in im 1.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.291 * [taylor]: Taking taylor expansion of 1/2 in im 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.298 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.298 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.298 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.298 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.298 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.298 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.298 * [taylor]: Taking taylor expansion of -1 in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.298 * [taylor]: Taking taylor expansion of -1 in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.298 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.298 * [taylor]: Taking taylor expansion of -1 in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.299 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.299 * [taylor]: Taking taylor expansion of -1 in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.302 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.302 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.302 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.302 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.305 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.305 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.305 * [taylor]: Taking taylor expansion of -1 in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.306 * [taylor]: Taking taylor expansion of -1 in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.306 * [taylor]: Taking taylor expansion of -1 in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.306 * [taylor]: Taking taylor expansion of -1 in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.314 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of 0 in im 1.316 * [taylor]: Taking taylor expansion of 0 in im 1.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.319 * [taylor]: Taking taylor expansion of 1/2 in im 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.319 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1) 1.326 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.326 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.326 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.326 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.326 * [taylor]: Taking taylor expansion of (* re re) in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of (* im im) in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.327 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.327 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.327 * [taylor]: Taking taylor expansion of (* re re) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (* im im) in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.329 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.329 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.329 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.329 * [taylor]: Taking taylor expansion of (* re re) in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of (* im im) in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.330 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of 1 in im 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.332 * [taylor]: Taking taylor expansion of 1/2 in im 1.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.332 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of 0 in im 1.336 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.336 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.336 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.336 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.336 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.336 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.336 * [taylor]: Taking taylor expansion of re in im 1.336 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.336 * [taylor]: Taking taylor expansion of re in im 1.336 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.336 * [taylor]: Taking taylor expansion of im in im 1.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.336 * [taylor]: Taking taylor expansion of im in im 1.339 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.339 * [taylor]: Taking taylor expansion of re in im 1.339 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.339 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.339 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.339 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.339 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.339 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.339 * [taylor]: Taking taylor expansion of re in re 1.339 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.339 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.342 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.342 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.342 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.343 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.343 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.343 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.343 * [taylor]: Taking taylor expansion of im in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.343 * [taylor]: Taking taylor expansion of im in re 1.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.346 * [taylor]: Taking taylor expansion of re in re 1.347 * [taylor]: Taking taylor expansion of 2 in im 1.347 * [taylor]: Taking taylor expansion of 0 in im 1.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.350 * [taylor]: Taking taylor expansion of 1/2 in im 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.355 * [taylor]: Taking taylor expansion of 0 in im 1.356 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.356 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.357 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.357 * [taylor]: Taking taylor expansion of -1 in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.357 * [taylor]: Taking taylor expansion of -1 in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.357 * [taylor]: Taking taylor expansion of -1 in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.357 * [taylor]: Taking taylor expansion of -1 in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.360 * [taylor]: Taking taylor expansion of re in im 1.360 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.360 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.360 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.364 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.364 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.364 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.364 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.364 * [taylor]: Taking taylor expansion of -1 in re 1.364 * [taylor]: Taking taylor expansion of re in re 1.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.364 * [taylor]: Taking taylor expansion of -1 in re 1.364 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.365 * [taylor]: Taking taylor expansion of -1 in re 1.365 * [taylor]: Taking taylor expansion of im in re 1.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.365 * [taylor]: Taking taylor expansion of -1 in re 1.365 * [taylor]: Taking taylor expansion of im in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.368 * [taylor]: Taking taylor expansion of 0 in im 1.369 * [taylor]: Taking taylor expansion of 0 in im 1.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.372 * [taylor]: Taking taylor expansion of 1/2 in im 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of 0 in im 1.379 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.379 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.379 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.379 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.379 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.379 * [taylor]: Taking taylor expansion of (* re re) in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.379 * [taylor]: Taking taylor expansion of (* im im) in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.380 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.380 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.380 * [taylor]: Taking taylor expansion of (* re re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (* im im) in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.382 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.382 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.382 * [taylor]: Taking taylor expansion of (* re re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (* im im) in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of im in im 1.383 * [taylor]: Taking taylor expansion of 1 in im 1.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.385 * [taylor]: Taking taylor expansion of 1/2 in im 1.385 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.385 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.388 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.388 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.389 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.389 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.389 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.389 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.389 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.392 * [taylor]: Taking taylor expansion of re in im 1.392 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.392 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.392 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.392 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.529 * [taylor]: Taking taylor expansion of re in re 1.529 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.529 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.529 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.529 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.529 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.532 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of 2 in im 1.534 * [taylor]: Taking taylor expansion of 0 in im 1.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.536 * [taylor]: Taking taylor expansion of 1/2 in im 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.537 * [taylor]: Taking taylor expansion of im in im 1.541 * [taylor]: Taking taylor expansion of 0 in im 1.543 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.543 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.543 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.543 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.543 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.543 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.543 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.543 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.543 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.543 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of im in im 1.544 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.544 * [taylor]: Taking taylor expansion of -1 in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.547 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.547 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.547 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of re in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of re in re 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of im in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of im in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.550 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.550 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.550 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.550 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.550 * [taylor]: Taking taylor expansion of -1 in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.551 * [taylor]: Taking taylor expansion of -1 in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.551 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.551 * [taylor]: Taking taylor expansion of -1 in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.551 * [taylor]: Taking taylor expansion of -1 in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.554 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.554 * [taylor]: Taking taylor expansion of re in re 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.559 * [taylor]: Taking taylor expansion of 1/2 in im 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.559 * [taylor]: Taking taylor expansion of im in im 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.565 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.565 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.565 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.565 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.565 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.565 * [taylor]: Taking taylor expansion of re in im 1.565 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.565 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.565 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.565 * [taylor]: Taking taylor expansion of (* re re) in im 1.565 * [taylor]: Taking taylor expansion of re in im 1.566 * [taylor]: Taking taylor expansion of re in im 1.566 * [taylor]: Taking taylor expansion of (* im im) in im 1.566 * [taylor]: Taking taylor expansion of im in im 1.566 * [taylor]: Taking taylor expansion of im in im 1.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.567 * [taylor]: Taking taylor expansion of 2.0 in im 1.568 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.568 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.568 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.568 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.568 * [taylor]: Taking taylor expansion of (* re re) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [taylor]: Taking taylor expansion of (* im im) in re 1.568 * [taylor]: Taking taylor expansion of im in re 1.568 * [taylor]: Taking taylor expansion of im in re 1.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.569 * [taylor]: Taking taylor expansion of 2.0 in re 1.570 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.570 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.570 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.570 * [taylor]: Taking taylor expansion of (* re re) in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of (* im im) in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.572 * [taylor]: Taking taylor expansion of 2.0 in re 1.573 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.573 * [taylor]: Taking taylor expansion of 2.0 in im 1.573 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.575 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.575 * [taylor]: Taking taylor expansion of 1/2 in im 1.575 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.575 * [taylor]: Taking taylor expansion of 2.0 in im 1.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.576 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.576 * [taylor]: Taking taylor expansion of im in im 1.587 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.587 * [taylor]: Taking taylor expansion of 1/8 in im 1.587 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.587 * [taylor]: Taking taylor expansion of 2.0 in im 1.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.588 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.603 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.603 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.603 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.603 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.603 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.603 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.603 * [taylor]: Taking taylor expansion of re in im 1.603 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.603 * [taylor]: Taking taylor expansion of re in im 1.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.604 * [taylor]: Taking taylor expansion of im in im 1.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.604 * [taylor]: Taking taylor expansion of im in im 1.607 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.607 * [taylor]: Taking taylor expansion of re in im 1.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.611 * [taylor]: Taking taylor expansion of 2.0 in im 1.612 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.612 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.612 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.613 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.613 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.613 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.613 * [taylor]: Taking taylor expansion of re in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.613 * [taylor]: Taking taylor expansion of re in re 1.613 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.613 * [taylor]: Taking taylor expansion of im in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.613 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.617 * [taylor]: Taking taylor expansion of 2.0 in re 1.618 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.618 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.618 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.618 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.618 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.618 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.618 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.619 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.619 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.619 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.621 * [taylor]: Taking taylor expansion of re in re 1.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.623 * [taylor]: Taking taylor expansion of 2.0 in re 1.624 * [taylor]: Taking taylor expansion of 0 in im 1.625 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.625 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.625 * [taylor]: Taking taylor expansion of +nan.0 in im 1.625 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.625 * [taylor]: Taking taylor expansion of 2.0 in im 1.631 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.631 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.631 * [taylor]: Taking taylor expansion of +nan.0 in im 1.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.631 * [taylor]: Taking taylor expansion of 2.0 in im 1.640 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.640 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.640 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.640 * [taylor]: Taking taylor expansion of +nan.0 in im 1.640 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.640 * [taylor]: Taking taylor expansion of 2.0 in im 1.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.641 * [taylor]: Taking taylor expansion of im in im 1.641 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.641 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.641 * [taylor]: Taking taylor expansion of +nan.0 in im 1.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.642 * [taylor]: Taking taylor expansion of 2.0 in im 1.653 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.653 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.653 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.653 * [taylor]: Taking taylor expansion of +nan.0 in im 1.653 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.653 * [taylor]: Taking taylor expansion of 2.0 in im 1.654 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.654 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.655 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.655 * [taylor]: Taking taylor expansion of +nan.0 in im 1.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.655 * [taylor]: Taking taylor expansion of 2.0 in im 1.668 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.668 * [taylor]: Taking taylor expansion of 2.0 in im 1.668 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.668 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.669 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.669 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.669 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.669 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.669 * [taylor]: Taking taylor expansion of -1 in im 1.669 * [taylor]: Taking taylor expansion of re in im 1.669 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.669 * [taylor]: Taking taylor expansion of -1 in im 1.669 * [taylor]: Taking taylor expansion of re in im 1.669 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.669 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.669 * [taylor]: Taking taylor expansion of -1 in im 1.669 * [taylor]: Taking taylor expansion of im in im 1.669 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.669 * [taylor]: Taking taylor expansion of -1 in im 1.669 * [taylor]: Taking taylor expansion of im in im 1.672 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.672 * [taylor]: Taking taylor expansion of re in im 1.673 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.673 * [taylor]: Taking taylor expansion of 2.0 in re 1.674 * [taylor]: Taking taylor expansion of (sqrt (- (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 1.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.674 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.674 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.674 * [taylor]: Taking taylor expansion of -1 in re 1.674 * [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 1.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.678 * [taylor]: Taking taylor expansion of re in re 1.683 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.683 * [taylor]: Taking taylor expansion of 2.0 in re 1.684 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.684 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.684 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.684 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.684 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.684 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.684 * [taylor]: Taking taylor expansion of -1 in re 1.684 * [taylor]: Taking taylor expansion of re in re 1.684 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.684 * [taylor]: Taking taylor expansion of -1 in re 1.684 * [taylor]: Taking taylor expansion of re in re 1.685 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.685 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.685 * [taylor]: Taking taylor expansion of -1 in re 1.685 * [taylor]: Taking taylor expansion of im in re 1.685 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.685 * [taylor]: Taking taylor expansion of -1 in re 1.685 * [taylor]: Taking taylor expansion of im in re 1.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.687 * [taylor]: Taking taylor expansion of re in re 1.696 * [taylor]: Taking taylor expansion of 0 in im 1.697 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.697 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.697 * [taylor]: Taking taylor expansion of +nan.0 in im 1.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.697 * [taylor]: Taking taylor expansion of 2.0 in im 1.698 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.698 * [taylor]: Taking taylor expansion of im in im 1.705 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.706 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.706 * [taylor]: Taking taylor expansion of +nan.0 in im 1.706 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.706 * [taylor]: Taking taylor expansion of 2.0 in im 1.706 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.706 * [taylor]: Taking taylor expansion of im in im 1.722 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.722 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.722 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.723 * [taylor]: Taking taylor expansion of +nan.0 in im 1.723 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.723 * [taylor]: Taking taylor expansion of 2.0 in im 1.723 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.723 * [taylor]: Taking taylor expansion of im in im 1.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.724 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.724 * [taylor]: Taking taylor expansion of +nan.0 in im 1.724 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.724 * [taylor]: Taking taylor expansion of 2.0 in im 1.725 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.725 * [taylor]: Taking taylor expansion of im in im 1.748 * * * [progress]: simplifying candidates 1.750 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ re (hypot re im)) (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (+ re (hypot re im)) (+ re (hypot re im))) (+ 1 1) (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im))))) (log (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (exp (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (* (+ re (hypot re im)) (+ re (hypot re im))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- re (hypot re im)))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt (- re (hypot re im))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (* (sqrt (- re (hypot re im))) (sqrt (- re (hypot re im)))) (* (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* 1 1) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (+ re (hypot re im))) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (+ re (hypot re im))) 1) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt (+ re (hypot re im))) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ re (hypot re im)))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im)))) (expm1 (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (log1p (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (log (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (exp (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (* (cbrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (cbrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))))))) (cbrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (* (* (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))))) (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (sqrt 2.0) (sqrt (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))))) (sqrt (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (sqrt (* 2.0 (* 1 (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))))) (sqrt (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- re (hypot re im))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))))) (sqrt (* (sqrt (- re (hypot re im))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))))) (sqrt (* (sqrt (- re (hypot re im))) (sqrt (- re (hypot re im))))) (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))))) (sqrt (sqrt (- re (hypot re im)))) (sqrt (* 2.0 (* 1 (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ re (hypot re im))))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))))) (sqrt (sqrt (- re (hypot re im)))) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (sqrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ 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 1.757 * * [simplify]: iteration 0 : 326 enodes (cost 801 ) 1.764 * * [simplify]: iteration 1 : 1371 enodes (cost 737 ) 1.793 * * [simplify]: iteration 2 : 5001 enodes (cost 722 ) 1.797 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) 1 1 2 1 1 (pow (sqrt (+ re (hypot re im))) 4) (+ re (hypot re im)) (pow (sqrt (+ re (hypot re im))) 4) 2 (log (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (pow (sqrt (+ re (hypot re im))) 4) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- re (hypot re im)))) (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (pow (cbrt (sqrt (+ re (hypot re im)))) 4) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) 1 (+ re (hypot re im)) 1 (+ re (hypot re im)) 1 (+ re (hypot re im)) 1 (+ re (hypot re im)) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) 1 (+ re (hypot re im)) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) 1 2 1 (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (pow (sqrt (sqrt (+ re (hypot re im)))) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (pow (sqrt (sqrt (+ re (hypot re im)))) 3) (sqrt (+ re (hypot re im))) (pow (cbrt (sqrt (+ re (hypot re im)))) 4) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (pow (sqrt (sqrt (+ re (hypot re im)))) 3) (+ re (hypot re im)) (+ re (hypot re im)) (pow (sqrt (sqrt (+ re (hypot re im)))) 3) (+ re (hypot re im)) (* (sqrt (+ re (hypot re im))) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt (+ re (hypot re im))) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (* (sqrt (+ re (hypot re im))) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt (+ re (hypot re im))) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (log1p (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (log (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (exp (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (* (cbrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (cbrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))))))) (cbrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (pow (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))))) (sqrt (* (sqrt (- re (hypot re im))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))))) (sqrt (* (sqrt (- re (hypot re im))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))))) (sqrt (- re (hypot re im))) (sqrt (* 2.0 (* 1 (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ re (hypot re im))))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))))) (sqrt (sqrt (- re (hypot re im)))) (sqrt (* 2.0 (* 1 (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ re (hypot re im))))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (* 2.0 (* 1 (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))))) (sqrt (sqrt (- re (hypot re im)))) 1/2 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (sqrt (sqrt (* 2.0 (* 1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 1.797 * * * [progress]: adding candidates to table 2.103 * * [progress]: iteration 4 / 4 2.103 * * * [progress]: picking best candidate 2.121 * * * * [pick]: Picked # 2.121 * * * [progress]: localizing error 2.137 * * * [progress]: generating rewritten candidates 2.137 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 2.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2 1) 2.142 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1) 2.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 2.148 * * * [progress]: generating series expansions 2.148 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1) 2.148 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.148 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.148 * [taylor]: Taking taylor expansion of re in im 2.148 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.148 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.148 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.148 * [taylor]: Taking taylor expansion of (* re re) in im 2.148 * [taylor]: Taking taylor expansion of re in im 2.148 * [taylor]: Taking taylor expansion of re in im 2.148 * [taylor]: Taking taylor expansion of (* im im) in im 2.148 * [taylor]: Taking taylor expansion of im in im 2.148 * [taylor]: Taking taylor expansion of im in im 2.150 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.150 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.150 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.150 * [taylor]: Taking taylor expansion of (* re re) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [taylor]: Taking taylor expansion of (* im im) in re 2.150 * [taylor]: Taking taylor expansion of im in re 2.150 * [taylor]: Taking taylor expansion of im in re 2.151 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.151 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.151 * [taylor]: Taking taylor expansion of (* re re) in re 2.151 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (* im im) in re 2.151 * [taylor]: Taking taylor expansion of im in re 2.151 * [taylor]: Taking taylor expansion of im in re 2.152 * [taylor]: Taking taylor expansion of im in im 2.153 * [taylor]: Taking taylor expansion of 1 in im 2.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.154 * [taylor]: Taking taylor expansion of 1/2 in im 2.154 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.154 * [taylor]: Taking taylor expansion of im in im 2.157 * [taylor]: Taking taylor expansion of 0 in im 2.158 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.158 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.158 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.158 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.158 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.158 * [taylor]: Taking taylor expansion of re in im 2.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.158 * [taylor]: Taking taylor expansion of re in im 2.158 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.158 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.158 * [taylor]: Taking taylor expansion of im in im 2.159 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.159 * [taylor]: Taking taylor expansion of im in im 2.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.161 * [taylor]: Taking taylor expansion of re in im 2.161 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.161 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.161 * [taylor]: Taking taylor expansion of re in re 2.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.162 * [taylor]: Taking taylor expansion of re in re 2.162 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.165 * [taylor]: Taking taylor expansion of re in re 2.165 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.165 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.165 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.165 * [taylor]: Taking taylor expansion of re in re 2.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.166 * [taylor]: Taking taylor expansion of re in re 2.166 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.166 * [taylor]: Taking taylor expansion of im in re 2.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.166 * [taylor]: Taking taylor expansion of im in re 2.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.171 * [taylor]: Taking taylor expansion of re in re 2.172 * [taylor]: Taking taylor expansion of 2 in im 2.173 * [taylor]: Taking taylor expansion of 0 in im 2.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.176 * [taylor]: Taking taylor expansion of 1/2 in im 2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.176 * [taylor]: Taking taylor expansion of im in im 2.180 * [taylor]: Taking taylor expansion of 0 in im 2.182 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.182 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.182 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.182 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.182 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.182 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.182 * [taylor]: Taking taylor expansion of -1 in im 2.182 * [taylor]: Taking taylor expansion of re in im 2.182 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.182 * [taylor]: Taking taylor expansion of -1 in im 2.182 * [taylor]: Taking taylor expansion of re in im 2.182 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.182 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.182 * [taylor]: Taking taylor expansion of -1 in im 2.182 * [taylor]: Taking taylor expansion of im in im 2.183 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.183 * [taylor]: Taking taylor expansion of -1 in im 2.183 * [taylor]: Taking taylor expansion of im in im 2.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.185 * [taylor]: Taking taylor expansion of re in im 2.185 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.186 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.186 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.186 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.186 * [taylor]: Taking taylor expansion of -1 in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.186 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.186 * [taylor]: Taking taylor expansion of -1 in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.186 * [taylor]: Taking taylor expansion of -1 in re 2.186 * [taylor]: Taking taylor expansion of im in re 2.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.186 * [taylor]: Taking taylor expansion of -1 in re 2.186 * [taylor]: Taking taylor expansion of im in re 2.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.189 * [taylor]: Taking taylor expansion of re in re 2.189 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.189 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.189 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.189 * [taylor]: Taking taylor expansion of -1 in re 2.189 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of im in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of im in re 2.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.193 * [taylor]: Taking taylor expansion of re in re 2.193 * [taylor]: Taking taylor expansion of 0 in im 2.194 * [taylor]: Taking taylor expansion of 0 in im 2.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.197 * [taylor]: Taking taylor expansion of 1/2 in im 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.198 * [taylor]: Taking taylor expansion of im in im 2.202 * [taylor]: Taking taylor expansion of 0 in im 2.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2 1) 2.204 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.204 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.204 * [taylor]: Taking taylor expansion of re in im 2.204 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.204 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.204 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.204 * [taylor]: Taking taylor expansion of (* re re) in im 2.204 * [taylor]: Taking taylor expansion of re in im 2.204 * [taylor]: Taking taylor expansion of re in im 2.204 * [taylor]: Taking taylor expansion of (* im im) in im 2.204 * [taylor]: Taking taylor expansion of im in im 2.204 * [taylor]: Taking taylor expansion of im in im 2.205 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.205 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.205 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.205 * [taylor]: Taking taylor expansion of (* re re) in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [taylor]: Taking taylor expansion of (* im im) in re 2.206 * [taylor]: Taking taylor expansion of im in re 2.206 * [taylor]: Taking taylor expansion of im in re 2.207 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.207 * [taylor]: Taking taylor expansion of re in re 2.207 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.207 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.207 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.207 * [taylor]: Taking taylor expansion of (* re re) in re 2.207 * [taylor]: Taking taylor expansion of re in re 2.207 * [taylor]: Taking taylor expansion of re in re 2.207 * [taylor]: Taking taylor expansion of (* im im) in re 2.207 * [taylor]: Taking taylor expansion of im in re 2.207 * [taylor]: Taking taylor expansion of im in re 2.208 * [taylor]: Taking taylor expansion of im in im 2.208 * [taylor]: Taking taylor expansion of 1 in im 2.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.210 * [taylor]: Taking taylor expansion of 1/2 in im 2.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.210 * [taylor]: Taking taylor expansion of im in im 2.212 * [taylor]: Taking taylor expansion of 0 in im 2.213 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.213 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.213 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 2.214 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) 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 (/ 1 re) in im 2.214 * [taylor]: Taking taylor expansion of re in im 2.214 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.214 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.214 * [taylor]: Taking taylor expansion of im in im 2.214 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.214 * [taylor]: Taking taylor expansion of im in im 2.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.217 * [taylor]: Taking taylor expansion of re in im 2.217 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.217 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.217 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.217 * [taylor]: Taking taylor expansion of re in re 2.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.218 * [taylor]: Taking taylor expansion of re in re 2.218 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.218 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.218 * [taylor]: Taking taylor expansion of im in re 2.218 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.218 * [taylor]: Taking taylor expansion of im in re 2.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.220 * [taylor]: Taking taylor expansion of re in re 2.221 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.221 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.221 * [taylor]: Taking taylor expansion of re in re 2.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.221 * [taylor]: Taking taylor expansion of re in re 2.221 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.221 * [taylor]: Taking taylor expansion of im in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.222 * [taylor]: Taking taylor expansion of im 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 2 in im 2.225 * [taylor]: Taking taylor expansion of 0 in im 2.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.228 * [taylor]: Taking taylor expansion of 1/2 in im 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.228 * [taylor]: Taking taylor expansion of im in im 2.233 * [taylor]: Taking taylor expansion of 0 in im 2.235 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.235 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [taylor]: Taking taylor expansion of re in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [taylor]: Taking taylor expansion of re in im 2.235 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [taylor]: Taking taylor expansion of im in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.236 * [taylor]: Taking taylor expansion of -1 in im 2.236 * [taylor]: Taking taylor expansion of im in im 2.238 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.238 * [taylor]: Taking taylor expansion of re in im 2.238 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.238 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.239 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.239 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.239 * [taylor]: Taking taylor expansion of -1 in re 2.239 * [taylor]: Taking taylor expansion of re in re 2.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.239 * [taylor]: Taking taylor expansion of -1 in re 2.239 * [taylor]: Taking taylor expansion of re in re 2.239 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.239 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.239 * [taylor]: Taking taylor expansion of -1 in re 2.239 * [taylor]: Taking taylor expansion of im in re 2.239 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.239 * [taylor]: Taking taylor expansion of -1 in re 2.239 * [taylor]: Taking taylor expansion of im in re 2.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.242 * [taylor]: Taking taylor expansion of re in re 2.242 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.242 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.242 * [taylor]: Taking taylor expansion of -1 in re 2.242 * [taylor]: Taking taylor expansion of re in re 2.243 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.243 * [taylor]: Taking taylor expansion of -1 in re 2.243 * [taylor]: Taking taylor expansion of re in re 2.243 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.243 * [taylor]: Taking taylor expansion of -1 in re 2.243 * [taylor]: Taking taylor expansion of im in re 2.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.243 * [taylor]: Taking taylor expansion of -1 in re 2.243 * [taylor]: Taking taylor expansion of im in re 2.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.246 * [taylor]: Taking taylor expansion of re in re 2.246 * [taylor]: Taking taylor expansion of 0 in im 2.247 * [taylor]: Taking taylor expansion of 0 in im 2.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.251 * [taylor]: Taking taylor expansion of 1/2 in im 2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.251 * [taylor]: Taking taylor expansion of im in im 2.258 * [taylor]: Taking taylor expansion of 0 in im 2.260 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1 1 1) 2.260 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.260 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.260 * [taylor]: Taking taylor expansion of re in im 2.260 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.260 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.260 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.260 * [taylor]: Taking taylor expansion of (* re re) in im 2.260 * [taylor]: Taking taylor expansion of re in im 2.260 * [taylor]: Taking taylor expansion of re in im 2.260 * [taylor]: Taking taylor expansion of (* im im) in im 2.260 * [taylor]: Taking taylor expansion of im in im 2.260 * [taylor]: Taking taylor expansion of im in im 2.261 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.261 * [taylor]: Taking taylor expansion of re in re 2.261 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.261 * [taylor]: Taking taylor expansion of (* re re) in re 2.261 * [taylor]: Taking taylor expansion of re in re 2.261 * [taylor]: Taking taylor expansion of re in re 2.261 * [taylor]: Taking taylor expansion of (* im im) in re 2.261 * [taylor]: Taking taylor expansion of im in re 2.261 * [taylor]: Taking taylor expansion of im in re 2.262 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.263 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.263 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.263 * [taylor]: Taking taylor expansion of (* re re) in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [taylor]: Taking taylor expansion of (* im im) in re 2.263 * [taylor]: Taking taylor expansion of im in re 2.263 * [taylor]: Taking taylor expansion of im in re 2.264 * [taylor]: Taking taylor expansion of im in im 2.264 * [taylor]: Taking taylor expansion of 1 in im 2.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.266 * [taylor]: Taking taylor expansion of 1/2 in im 2.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.266 * [taylor]: Taking taylor expansion of im in im 2.268 * [taylor]: Taking taylor expansion of 0 in im 2.270 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.270 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.270 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.270 * [taylor]: Taking taylor expansion of re in im 2.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.270 * [taylor]: Taking taylor expansion of re in im 2.270 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.270 * [taylor]: Taking taylor expansion of im in im 2.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.270 * [taylor]: Taking taylor expansion of im in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.273 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.273 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.273 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.273 * [taylor]: Taking taylor expansion of re in re 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.273 * [taylor]: Taking taylor expansion of re in re 2.274 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.274 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.274 * [taylor]: Taking taylor expansion of im in re 2.274 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.274 * [taylor]: Taking taylor expansion of im in re 2.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.276 * [taylor]: Taking taylor expansion of re in re 2.276 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 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 re in re 2.277 * [taylor]: Taking taylor expansion of (/ 1 re) 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 2.277 * [taylor]: Taking taylor expansion of im in re 2.277 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.277 * [taylor]: Taking taylor expansion of im in re 2.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.280 * [taylor]: Taking taylor expansion of re in re 2.280 * [taylor]: Taking taylor expansion of 2 in im 2.281 * [taylor]: Taking taylor expansion of 0 in im 2.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.284 * [taylor]: Taking taylor expansion of 1/2 in im 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.284 * [taylor]: Taking taylor expansion of im in im 2.289 * [taylor]: Taking taylor expansion of 0 in im 2.290 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.290 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.290 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.290 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.290 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.290 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.290 * [taylor]: Taking taylor expansion of -1 in im 2.290 * [taylor]: Taking taylor expansion of re in im 2.291 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.291 * [taylor]: Taking taylor expansion of -1 in im 2.291 * [taylor]: Taking taylor expansion of re in im 2.291 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.291 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.291 * [taylor]: Taking taylor expansion of -1 in im 2.291 * [taylor]: Taking taylor expansion of im in im 2.291 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.291 * [taylor]: Taking taylor expansion of -1 in im 2.291 * [taylor]: Taking taylor expansion of im in im 2.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.294 * [taylor]: Taking taylor expansion of re in im 2.294 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.294 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.294 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.294 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 re) in re 2.294 * [taylor]: Taking taylor expansion of -1 in re 2.294 * [taylor]: Taking taylor expansion of re in re 2.295 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.295 * [taylor]: Taking taylor expansion of -1 in re 2.295 * [taylor]: Taking taylor expansion of im in re 2.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.295 * [taylor]: Taking taylor expansion of -1 in re 2.295 * [taylor]: Taking taylor expansion of im in re 2.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.297 * [taylor]: Taking taylor expansion of re in re 2.298 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.298 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.298 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.298 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) 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 2.298 * [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 2.298 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.298 * [taylor]: Taking taylor expansion of -1 in re 2.298 * [taylor]: Taking taylor expansion of im in re 2.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.298 * [taylor]: Taking taylor expansion of -1 in re 2.299 * [taylor]: Taking taylor expansion of im in re 2.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.301 * [taylor]: Taking taylor expansion of re in re 2.302 * [taylor]: Taking taylor expansion of 0 in im 2.303 * [taylor]: Taking taylor expansion of 0 in im 2.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.306 * [taylor]: Taking taylor expansion of 1/2 in im 2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.306 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.306 * [taylor]: Taking taylor expansion of im in im 2.311 * [taylor]: Taking taylor expansion of 0 in im 2.312 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 2.312 * [approximate]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in (re im) around 0 2.312 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 2.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 2.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 2.312 * [taylor]: Taking taylor expansion of 1/3 in im 2.312 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.312 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.312 * [taylor]: Taking taylor expansion of re in im 2.312 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.313 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.313 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.313 * [taylor]: Taking taylor expansion of (* re re) in im 2.313 * [taylor]: Taking taylor expansion of re in im 2.313 * [taylor]: Taking taylor expansion of re in im 2.313 * [taylor]: Taking taylor expansion of (* im im) in im 2.313 * [taylor]: Taking taylor expansion of im in im 2.313 * [taylor]: Taking taylor expansion of im in im 2.314 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 2.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 2.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 2.314 * [taylor]: Taking taylor expansion of 1/3 in re 2.314 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.314 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.314 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.314 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.314 * [taylor]: Taking taylor expansion of (* re re) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of (* im im) in re 2.314 * [taylor]: Taking taylor expansion of im in re 2.314 * [taylor]: Taking taylor expansion of im in re 2.315 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 2.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 2.315 * [taylor]: Taking taylor expansion of 1/3 in re 2.315 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.315 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.316 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.316 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.316 * [taylor]: Taking taylor expansion of (* re re) in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (* im im) in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.317 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.317 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.317 * [taylor]: Taking taylor expansion of 1/3 in im 2.317 * [taylor]: Taking taylor expansion of (log im) in im 2.317 * [taylor]: Taking taylor expansion of im in im 2.319 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 2.319 * [taylor]: Taking taylor expansion of 1/3 in im 2.319 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 2.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 2.319 * [taylor]: Taking taylor expansion of 1/3 in im 2.319 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 2.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.319 * [taylor]: Taking taylor expansion of im in im 2.325 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 2.325 * [taylor]: Taking taylor expansion of 1/18 in im 2.325 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.325 * [taylor]: Taking taylor expansion of 1/3 in im 2.325 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.325 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.325 * [taylor]: Taking taylor expansion of im in im 2.327 * [approximate]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in (re im) around 0 2.328 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in im 2.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.328 * [taylor]: Taking taylor expansion of 1/3 in im 2.328 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.328 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.328 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.328 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.328 * [taylor]: Taking taylor expansion of re in im 2.328 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.328 * [taylor]: Taking taylor expansion of re in im 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.328 * [taylor]: Taking taylor expansion of im in im 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.328 * [taylor]: Taking taylor expansion of im in im 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.331 * [taylor]: Taking taylor expansion of re in im 2.332 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.332 * [taylor]: Taking taylor expansion of 1/3 in re 2.332 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.332 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.332 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.332 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.332 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.333 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.333 * [taylor]: Taking taylor expansion of im in re 2.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.333 * [taylor]: Taking taylor expansion of im in re 2.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.335 * [taylor]: Taking taylor expansion of re in re 2.339 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.340 * [taylor]: Taking taylor expansion of 1/3 in re 2.340 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.340 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.340 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.340 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.340 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.340 * [taylor]: Taking taylor expansion of re in re 2.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.340 * [taylor]: Taking taylor expansion of re in re 2.340 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.340 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.340 * [taylor]: Taking taylor expansion of im in re 2.340 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.340 * [taylor]: Taking taylor expansion of im in re 2.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.343 * [taylor]: Taking taylor expansion of re in re 2.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.345 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.345 * [taylor]: Taking taylor expansion of 1/3 in im 2.345 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.345 * [taylor]: Taking taylor expansion of (log 2) in im 2.345 * [taylor]: Taking taylor expansion of 2 in im 2.345 * [taylor]: Taking taylor expansion of (log re) in im 2.345 * [taylor]: Taking taylor expansion of re in im 2.349 * [taylor]: Taking taylor expansion of 0 in im 2.358 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 2.358 * [taylor]: Taking taylor expansion of 1/12 in im 2.358 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 2.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.358 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.358 * [taylor]: Taking taylor expansion of 1/3 in im 2.358 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.358 * [taylor]: Taking taylor expansion of (log 2) in im 2.358 * [taylor]: Taking taylor expansion of 2 in im 2.359 * [taylor]: Taking taylor expansion of (log re) in im 2.359 * [taylor]: Taking taylor expansion of re in im 2.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.360 * [taylor]: Taking taylor expansion of im in im 2.384 * [taylor]: Taking taylor expansion of 0 in im 2.385 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 2.385 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 2.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.385 * [taylor]: Taking taylor expansion of 1/3 in im 2.385 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.385 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.385 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.385 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.385 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.385 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.385 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.388 * [taylor]: Taking taylor expansion of re in im 2.389 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 2.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.389 * [taylor]: Taking taylor expansion of 1/3 in re 2.389 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.389 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.389 * [taylor]: Taking taylor expansion of -1 in re 2.389 * [taylor]: Taking taylor expansion of re in re 2.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.390 * [taylor]: Taking taylor expansion of -1 in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.390 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.390 * [taylor]: Taking taylor expansion of -1 in re 2.390 * [taylor]: Taking taylor expansion of im in re 2.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.390 * [taylor]: Taking taylor expansion of -1 in re 2.390 * [taylor]: Taking taylor expansion of im in re 2.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.393 * [taylor]: Taking taylor expansion of re in re 2.398 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 2.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.398 * [taylor]: Taking taylor expansion of 1/3 in re 2.398 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.398 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.398 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.398 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.398 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.398 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.398 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.398 * [taylor]: Taking taylor expansion of -1 in re 2.398 * [taylor]: Taking taylor expansion of re in re 2.399 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.399 * [taylor]: Taking taylor expansion of -1 in re 2.399 * [taylor]: Taking taylor expansion of re in re 2.399 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.399 * [taylor]: Taking taylor expansion of -1 in re 2.399 * [taylor]: Taking taylor expansion of im in re 2.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.399 * [taylor]: Taking taylor expansion of -1 in re 2.399 * [taylor]: Taking taylor expansion of im in re 2.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.402 * [taylor]: Taking taylor expansion of re in re 2.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.407 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.407 * [taylor]: Taking taylor expansion of 1/3 in im 2.407 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.407 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.407 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.407 * [taylor]: Taking taylor expansion of 1/2 in im 2.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.407 * [taylor]: Taking taylor expansion of im in im 2.408 * [taylor]: Taking taylor expansion of (log re) in im 2.408 * [taylor]: Taking taylor expansion of re in im 2.415 * [taylor]: Taking taylor expansion of 0 in im 2.429 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.429 * [taylor]: Taking taylor expansion of -1/12 in im 2.429 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.429 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.429 * [taylor]: Taking taylor expansion of 1/3 in im 2.429 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.429 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.429 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.429 * [taylor]: Taking taylor expansion of 1/2 in im 2.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.429 * [taylor]: Taking taylor expansion of im in im 2.430 * [taylor]: Taking taylor expansion of (log re) in im 2.430 * [taylor]: Taking taylor expansion of re in im 2.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.431 * [taylor]: Taking taylor expansion of im in im 2.459 * [taylor]: Taking taylor expansion of 0 in im 2.459 * * * [progress]: simplifying candidates 2.460 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (cbrt (+ re (hypot re im)))) (log1p (cbrt (+ re (hypot re im)))) (log (cbrt (+ re (hypot re im)))) (exp (cbrt (+ re (hypot re im)))) (cbrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt 1) (cbrt (+ re (hypot re im))) (cbrt 1) (cbrt (+ re (hypot re im))) (cbrt (+ (pow re 3) (pow (hypot re im) 3))) (cbrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (cbrt (- (* re re) (* (hypot re im) (hypot re im)))) (cbrt (- re (hypot re im))) (* (cbrt (cbrt (+ re (hypot re im)))) (cbrt (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (* (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 2.464 * * [simplify]: iteration 0 : 180 enodes (cost 308 ) 2.468 * * [simplify]: iteration 1 : 443 enodes (cost 283 ) 2.475 * * [simplify]: iteration 2 : 1525 enodes (cost 280 ) 2.501 * * [simplify]: iteration 3 : 5001 enodes (cost 277 ) 2.503 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (cbrt (+ re (hypot re im)))) (log1p (cbrt (+ re (hypot re im)))) (log (cbrt (+ re (hypot re im)))) (exp (cbrt (+ re (hypot re im)))) (cbrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt 1) (cbrt (+ re (hypot re im))) (cbrt 1) (cbrt (+ re (hypot re im))) (cbrt (+ (pow re 3) (pow (hypot re im) 3))) (cbrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (cbrt (- (* re re) (* (hypot re im) (hypot re im)))) (cbrt (- re (hypot re im))) (* (cbrt (cbrt (+ re (hypot re im)))) (cbrt (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (+ re (hypot re im)) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (fma (* (pow (/ 1 (pow im 2)) 1/3) 1/3) re (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3))) (* (pow re 1/3) (pow 2 1/3)) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 2.504 * * * [progress]: adding candidates to table 2.851 * [progress]: [Phase 3 of 3] Extracting. 2.851 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.854 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.854 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 2.901 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 2.942 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 2.989 * * * [regime]: Found split indices: #