26.305 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.032 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.072 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of 1/2 in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.107 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.114 * [taylor]: Taking taylor expansion of 1 in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of 1/2 in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.120 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.121 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of 1 in im 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of 2 in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.163 * [taylor]: Taking taylor expansion of 1/2 in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.169 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.170 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 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 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.170 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.171 * [taylor]: Taking taylor expansion of 2.0 in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.172 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.173 * [taylor]: Taking taylor expansion of 2.0 in re 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.174 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.175 * [taylor]: Taking taylor expansion of 2.0 in im 0.176 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.178 * [taylor]: Taking taylor expansion of 1/2 in im 0.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.178 * [taylor]: Taking taylor expansion of 2.0 in im 0.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.190 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.190 * [taylor]: Taking taylor expansion of 1/8 in im 0.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.190 * [taylor]: Taking taylor expansion of 2.0 in im 0.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.190 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.206 * [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 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.206 * [taylor]: Taking taylor expansion of 2.0 in im 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.211 * [taylor]: Taking taylor expansion of 2.0 in re 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.216 * [taylor]: Taking taylor expansion of 2.0 in re 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.217 * [taylor]: Taking taylor expansion of im in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.222 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.222 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.222 * [taylor]: Taking taylor expansion of +nan.0 in im 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.222 * [taylor]: Taking taylor expansion of 2.0 in im 0.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.227 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.227 * [taylor]: Taking taylor expansion of +nan.0 in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.235 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.236 * [taylor]: Taking taylor expansion of +nan.0 in im 0.236 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.237 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.237 * [taylor]: Taking taylor expansion of +nan.0 in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.254 * [taylor]: Taking taylor expansion of +nan.0 in im 0.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.254 * [taylor]: Taking taylor expansion of 2.0 in im 0.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.269 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.269 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.269 * [taylor]: Taking taylor expansion of 2.0 in im 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.272 * [taylor]: Taking taylor expansion of re in im 0.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.274 * [taylor]: Taking taylor expansion of 2.0 in re 0.274 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.274 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.274 * [taylor]: Taking taylor expansion of im in re 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.282 * [taylor]: Taking taylor expansion of 2.0 in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.291 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.291 * [taylor]: Taking taylor expansion of +nan.0 in im 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.292 * [taylor]: Taking taylor expansion of 2.0 in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.316 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.316 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.318 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.318 * [taylor]: Taking taylor expansion of +nan.0 in im 0.318 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.318 * [taylor]: Taking taylor expansion of 2.0 in im 0.319 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.319 * [taylor]: Taking taylor expansion of im in im 0.346 * * * [progress]: simplifying candidates 0.347 * [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 0.352 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.357 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.371 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.417 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.418 * [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 0.419 * * * [progress]: adding candidates to table 0.590 * * [progress]: iteration 2 / 4 0.590 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.609 * * * [progress]: generating rewritten candidates 0.609 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.612 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.617 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 2) 0.618 * * * [progress]: generating series expansions 0.618 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.618 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.618 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.618 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.618 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.618 * [taylor]: Taking taylor expansion of (* re re) in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.618 * [taylor]: Taking taylor expansion of (* im im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.619 * [taylor]: Taking taylor expansion of re in re 0.619 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.620 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.620 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.620 * [taylor]: Taking taylor expansion of (* re re) in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.620 * [taylor]: Taking taylor expansion of (* im im) in re 0.620 * [taylor]: Taking taylor expansion of im in re 0.620 * [taylor]: Taking taylor expansion of im in re 0.621 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.621 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.621 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.621 * [taylor]: Taking taylor expansion of (* re re) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of (* im im) in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.622 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of 1 in im 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.624 * [taylor]: Taking taylor expansion of 1/2 in im 0.624 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.624 * [taylor]: Taking taylor expansion of im in im 0.627 * [taylor]: Taking taylor expansion of 0 in im 0.628 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.628 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.628 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.632 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.632 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.632 * [taylor]: Taking taylor expansion of im in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.633 * [taylor]: Taking taylor expansion of im in re 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 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 (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 0.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of 2 in im 0.640 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.643 * [taylor]: Taking taylor expansion of 1/2 in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.652 * [taylor]: Taking taylor expansion of 0 in im 0.654 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.654 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.654 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.654 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.654 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.654 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.654 * [taylor]: Taking taylor expansion of -1 in im 0.654 * [taylor]: Taking taylor expansion of re in im 0.654 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.654 * [taylor]: Taking taylor expansion of -1 in im 0.654 * [taylor]: Taking taylor expansion of re in im 0.654 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.654 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.654 * [taylor]: Taking taylor expansion of -1 in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.654 * [taylor]: Taking taylor expansion of -1 in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.657 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.657 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.657 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.657 * [taylor]: Taking taylor expansion of -1 in re 0.657 * [taylor]: Taking taylor expansion of re in re 0.658 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.658 * [taylor]: Taking taylor expansion of -1 in re 0.658 * [taylor]: Taking taylor expansion of re in re 0.658 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.658 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.658 * [taylor]: Taking taylor expansion of -1 in re 0.658 * [taylor]: Taking taylor expansion of im in re 0.658 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.658 * [taylor]: Taking taylor expansion of -1 in re 0.658 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.661 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 0.662 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.662 * [taylor]: Taking taylor expansion of -1 in re 0.662 * [taylor]: Taking taylor expansion of re in re 0.662 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.662 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.662 * [taylor]: Taking taylor expansion of -1 in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.662 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.662 * [taylor]: Taking taylor expansion of -1 in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.666 * [taylor]: Taking taylor expansion of 0 in im 0.666 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.670 * [taylor]: Taking taylor expansion of 1/2 in im 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of 0 in im 0.676 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.677 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.677 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.677 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.677 * [taylor]: Taking taylor expansion of (* re re) in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of (* im im) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.679 * [taylor]: Taking taylor expansion of 2.0 in im 0.680 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.680 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.680 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.680 * [taylor]: Taking taylor expansion of (* re re) in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [taylor]: Taking taylor expansion of (* im im) in re 0.680 * [taylor]: Taking taylor expansion of im in re 0.680 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.682 * [taylor]: Taking taylor expansion of 2.0 in re 0.682 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.682 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.682 * [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 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (* im im) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.684 * [taylor]: Taking taylor expansion of 2.0 in re 0.685 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.685 * [taylor]: Taking taylor expansion of 2.0 in im 0.686 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.688 * [taylor]: Taking taylor expansion of 1/2 in im 0.688 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.688 * [taylor]: Taking taylor expansion of 2.0 in im 0.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.688 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.699 * [taylor]: Taking taylor expansion of 1/8 in im 0.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.700 * [taylor]: Taking taylor expansion of 2.0 in im 0.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.700 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.715 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.715 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.715 * [taylor]: Taking taylor expansion of re in im 0.715 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.715 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.715 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.715 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.715 * [taylor]: Taking taylor expansion of re in im 0.715 * [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 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.720 * [taylor]: Taking taylor expansion of 2.0 in im 0.720 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (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 0.721 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [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 (sqrt 2.0) in re 0.725 * [taylor]: Taking taylor expansion of 2.0 in re 0.726 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.726 * [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 0.727 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.731 * [taylor]: Taking taylor expansion of 2.0 in re 0.732 * [taylor]: Taking taylor expansion of 0 in im 0.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.733 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.733 * [taylor]: Taking taylor expansion of +nan.0 in im 0.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.733 * [taylor]: Taking taylor expansion of 2.0 in im 0.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.745 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.745 * [taylor]: Taking taylor expansion of +nan.0 in im 0.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.745 * [taylor]: Taking taylor expansion of 2.0 in im 0.754 * [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 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.756 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.756 * [taylor]: Taking taylor expansion of +nan.0 in im 0.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.756 * [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 0.783 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.783 * [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 0.784 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.784 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.784 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.784 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.784 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.784 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 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 0.789 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.789 * [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 0.790 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [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 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.799 * [taylor]: Taking taylor expansion of 2.0 in re 0.799 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.799 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.801 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.801 * [taylor]: Taking taylor expansion of -1 in re 0.801 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of 0 in im 0.810 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.810 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.810 * [taylor]: Taking taylor expansion of +nan.0 in im 0.810 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.810 * [taylor]: Taking taylor expansion of 2.0 in im 0.811 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.811 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.819 * [taylor]: Taking taylor expansion of +nan.0 in im 0.819 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.819 * [taylor]: Taking taylor expansion of 2.0 in im 0.819 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.842 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.842 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.842 * [taylor]: Taking taylor expansion of +nan.0 in im 0.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.842 * [taylor]: Taking taylor expansion of 2.0 in im 0.843 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.843 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.844 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.844 * [taylor]: Taking taylor expansion of +nan.0 in im 0.844 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.844 * [taylor]: Taking taylor expansion of 2.0 in im 0.845 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.867 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 2) 0.867 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.867 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.867 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.867 * [taylor]: Taking taylor expansion of (* re re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of (* im im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.869 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.869 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.869 * [taylor]: Taking taylor expansion of (* re re) in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (* im im) in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.870 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.870 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.870 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.870 * [taylor]: Taking taylor expansion of (* re re) in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of (* im im) in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.871 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.873 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.873 * [taylor]: Taking taylor expansion of 1/2 in im 0.873 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.876 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.876 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.876 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.876 * [taylor]: Taking taylor expansion of im in im 0.880 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.880 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.880 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.880 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.880 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.880 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.883 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.883 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.883 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.883 * [taylor]: Taking taylor expansion of re in re 0.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.883 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of 1 in im 0.886 * [taylor]: Taking taylor expansion of 0 in im 0.889 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.889 * [taylor]: Taking taylor expansion of 1/2 in im 0.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of 0 in im 0.894 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.894 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.894 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.894 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.894 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.894 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.894 * [taylor]: Taking taylor expansion of -1 in im 0.894 * [taylor]: Taking taylor expansion of re in im 0.894 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.894 * [taylor]: Taking taylor expansion of -1 in im 0.894 * [taylor]: Taking taylor expansion of re in im 0.894 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.894 * [taylor]: Taking taylor expansion of -1 in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.894 * [taylor]: Taking taylor expansion of -1 in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.897 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.897 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.897 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 0.898 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.898 * [taylor]: Taking taylor expansion of -1 in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.898 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.898 * [taylor]: Taking taylor expansion of -1 in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.898 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.898 * [taylor]: Taking taylor expansion of -1 in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.901 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.901 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.901 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.901 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.901 * [taylor]: Taking taylor expansion of -1 in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.901 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.901 * [taylor]: Taking taylor expansion of -1 in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.902 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.902 * [taylor]: Taking taylor expansion of -1 in re 0.902 * [taylor]: Taking taylor expansion of im in re 0.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.902 * [taylor]: Taking taylor expansion of -1 in re 0.902 * [taylor]: Taking taylor expansion of im in re 0.904 * [taylor]: Taking taylor expansion of 1 in im 0.904 * [taylor]: Taking taylor expansion of 0 in im 0.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.907 * [taylor]: Taking taylor expansion of 1/2 in im 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.917 * [taylor]: Taking taylor expansion of 0 in im 0.918 * * * [progress]: simplifying candidates 0.919 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (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) 0.923 * * [simplify]: iteration 0 : 219 enodes (cost 232 ) 0.927 * * [simplify]: iteration 1 : 647 enodes (cost 208 ) 0.942 * * [simplify]: iteration 2 : 2702 enodes (cost 200 ) 0.992 * * [simplify]: iteration 3 : 5001 enodes (cost 199 ) 0.994 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (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)) (+ (- (* re re)) (- 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 1.128 * * [progress]: iteration 3 / 4 1.128 * * * [progress]: picking best candidate 1.149 * * * * [pick]: Picked # 1.149 * * * [progress]: localizing error 1.165 * * * [progress]: generating rewritten candidates 1.165 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 1.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.228 * * * [progress]: generating series expansions 1.228 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.228 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.228 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.228 * [taylor]: Taking taylor expansion of re in im 1.228 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.228 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.228 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.228 * [taylor]: Taking taylor expansion of (* re re) in im 1.228 * [taylor]: Taking taylor expansion of re in im 1.228 * [taylor]: Taking taylor expansion of re in im 1.228 * [taylor]: Taking taylor expansion of (* im im) in im 1.228 * [taylor]: Taking taylor expansion of im in im 1.228 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.230 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.230 * [taylor]: Taking taylor expansion of (* re re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (* im im) in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.231 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.231 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.231 * [taylor]: Taking taylor expansion of (* re re) in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of (* im im) in re 1.231 * [taylor]: Taking taylor expansion of im in re 1.231 * [taylor]: Taking taylor expansion of im in re 1.232 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of 1 in im 1.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.234 * [taylor]: Taking taylor expansion of 1/2 in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.234 * [taylor]: Taking taylor expansion of im in im 1.237 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.238 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.238 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.238 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.239 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.239 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.239 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.242 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.242 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.242 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.247 * [taylor]: Taking taylor expansion of im in re 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.251 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.251 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of 2 in im 1.255 * [taylor]: Taking taylor expansion of 0 in im 1.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.258 * [taylor]: Taking taylor expansion of 1/2 in im 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of 0 in im 1.265 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.265 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.265 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.265 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of im in im 1.266 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.266 * [taylor]: Taking taylor expansion of -1 in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.269 * [taylor]: Taking taylor expansion of re in im 1.269 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.269 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.269 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.269 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.269 * [taylor]: Taking taylor expansion of -1 in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.269 * [taylor]: Taking taylor expansion of -1 in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.269 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.273 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.273 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.273 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of im in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of im in re 1.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.276 * [taylor]: Taking taylor expansion of re in re 1.277 * [taylor]: Taking taylor expansion of 0 in im 1.278 * [taylor]: Taking taylor expansion of 0 in im 1.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.281 * [taylor]: Taking taylor expansion of 1/2 in im 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.281 * [taylor]: Taking taylor expansion of im in im 1.286 * [taylor]: Taking taylor expansion of 0 in im 1.288 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 1.288 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.288 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.288 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.288 * [taylor]: Taking taylor expansion of (* re re) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of (* im im) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.289 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.289 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.289 * [taylor]: Taking taylor expansion of (* re re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (* im im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.291 * [taylor]: Taking taylor expansion of (* re re) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (* im im) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of 1 in im 1.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.294 * [taylor]: Taking taylor expansion of 1/2 in im 1.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.298 * [taylor]: Taking taylor expansion of 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 re in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) 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 im in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [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 re in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 re) 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 im in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 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)) 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 1.306 * [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 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 im in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.309 * [taylor]: Taking taylor expansion of 2 in im 1.310 * [taylor]: Taking taylor expansion of 0 in im 1.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.313 * [taylor]: Taking taylor expansion of 1/2 in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.317 * [taylor]: Taking taylor expansion of 0 in im 1.319 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.319 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.319 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.319 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.319 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.319 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.319 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.319 * [taylor]: Taking taylor expansion of -1 in im 1.319 * [taylor]: Taking taylor expansion of re in im 1.319 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.319 * [taylor]: Taking taylor expansion of -1 in im 1.319 * [taylor]: Taking taylor expansion of re in im 1.319 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.319 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.319 * [taylor]: Taking taylor expansion of -1 in im 1.319 * [taylor]: Taking taylor expansion of im in im 1.320 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.320 * [taylor]: Taking taylor expansion of -1 in im 1.320 * [taylor]: Taking taylor expansion of im in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.323 * [taylor]: Taking taylor expansion of -1 in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of re in re 1.324 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.327 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.328 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.336 * [taylor]: Taking taylor expansion of 0 in im 1.337 * [taylor]: Taking taylor expansion of 0 in im 1.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.341 * [taylor]: Taking taylor expansion of 1/2 in im 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.346 * [taylor]: Taking taylor expansion of 0 in im 1.347 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.348 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.348 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.348 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.348 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.348 * [taylor]: Taking taylor expansion of (* re re) in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of (* im im) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.349 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.349 * [taylor]: Taking taylor expansion of (* re re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (* im im) in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.351 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.351 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.351 * [taylor]: Taking taylor expansion of (* re re) in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (* im im) in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of 1 in im 1.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.354 * [taylor]: Taking taylor expansion of 1/2 in im 1.354 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.354 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of 0 in im 1.358 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.358 * [taylor]: Taking taylor expansion of re in im 1.358 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.358 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.358 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.358 * [taylor]: Taking taylor expansion of re in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.358 * [taylor]: Taking taylor expansion of re in im 1.358 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.362 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.362 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.365 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.366 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.369 * [taylor]: Taking taylor expansion of 2 in im 1.370 * [taylor]: Taking taylor expansion of 0 in im 1.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.373 * [taylor]: Taking taylor expansion of 1/2 in im 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of 0 in im 1.379 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.379 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.379 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.379 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.379 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.380 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.383 * [taylor]: Taking taylor expansion of re in im 1.383 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.383 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.383 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.383 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.383 * [taylor]: Taking taylor expansion of -1 in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.384 * [taylor]: Taking taylor expansion of -1 in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.384 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.384 * [taylor]: Taking taylor expansion of -1 in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.384 * [taylor]: Taking taylor expansion of -1 in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.387 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.387 * [taylor]: Taking taylor expansion of -1 in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.388 * [taylor]: Taking taylor expansion of -1 in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.388 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.388 * [taylor]: Taking taylor expansion of -1 in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.388 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.388 * [taylor]: Taking taylor expansion of -1 in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of 0 in im 1.392 * [taylor]: Taking taylor expansion of 0 in im 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.396 * [taylor]: Taking taylor expansion of 1/2 in im 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.403 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.403 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.403 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.403 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.403 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.403 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.403 * [taylor]: Taking taylor expansion of (* re re) in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [taylor]: Taking taylor expansion of (* im im) in im 1.403 * [taylor]: Taking taylor expansion of im in im 1.403 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.405 * [taylor]: Taking taylor expansion of 2.0 in im 1.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.405 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.405 * [taylor]: Taking taylor expansion of re in re 1.405 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.405 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.406 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.406 * [taylor]: Taking taylor expansion of (* re re) in re 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [taylor]: Taking taylor expansion of (* im im) in re 1.406 * [taylor]: Taking taylor expansion of im in re 1.406 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.407 * [taylor]: Taking taylor expansion of 2.0 in re 1.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.408 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.408 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.408 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.408 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.408 * [taylor]: Taking taylor expansion of (* re re) in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of (* im im) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.410 * [taylor]: Taking taylor expansion of 2.0 in re 1.410 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.411 * [taylor]: Taking taylor expansion of 2.0 in im 1.411 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.413 * [taylor]: Taking taylor expansion of 1/2 in im 1.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.413 * [taylor]: Taking taylor expansion of 2.0 in im 1.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.414 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.431 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.431 * [taylor]: Taking taylor expansion of 1/8 in im 1.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.432 * [taylor]: Taking taylor expansion of 2.0 in im 1.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.433 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.433 * [taylor]: Taking taylor expansion of im in im 1.448 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.449 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.449 * [taylor]: Taking taylor expansion of re in im 1.449 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.449 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.449 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.449 * [taylor]: Taking taylor expansion of re in im 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.449 * [taylor]: Taking taylor expansion of re in im 1.449 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.449 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.449 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.449 * [taylor]: Taking taylor expansion of im in im 1.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.453 * [taylor]: Taking taylor expansion of 2.0 in im 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.454 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.454 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.454 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.454 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.455 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.455 * [taylor]: Taking taylor expansion of re in re 1.455 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.455 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.455 * [taylor]: Taking taylor expansion of im in re 1.455 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.455 * [taylor]: Taking taylor expansion of im in re 1.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.459 * [taylor]: Taking taylor expansion of 2.0 in re 1.460 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.460 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.460 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.465 * [taylor]: Taking taylor expansion of 2.0 in re 1.466 * [taylor]: Taking taylor expansion of 0 in im 1.467 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.467 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.467 * [taylor]: Taking taylor expansion of +nan.0 in im 1.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.467 * [taylor]: Taking taylor expansion of 2.0 in im 1.473 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.473 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.473 * [taylor]: Taking taylor expansion of +nan.0 in im 1.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.473 * [taylor]: Taking taylor expansion of 2.0 in im 1.482 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.482 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.482 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.482 * [taylor]: Taking taylor expansion of +nan.0 in im 1.482 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.482 * [taylor]: Taking taylor expansion of 2.0 in im 1.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.483 * [taylor]: Taking taylor expansion of im in im 1.484 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.484 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.484 * [taylor]: Taking taylor expansion of +nan.0 in im 1.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.484 * [taylor]: Taking taylor expansion of 2.0 in im 1.496 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.496 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.496 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.496 * [taylor]: Taking taylor expansion of +nan.0 in im 1.496 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.496 * [taylor]: Taking taylor expansion of 2.0 in im 1.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.497 * [taylor]: Taking taylor expansion of im in im 1.497 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.497 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.498 * [taylor]: Taking taylor expansion of +nan.0 in im 1.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.498 * [taylor]: Taking taylor expansion of 2.0 in im 1.518 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.518 * [taylor]: Taking taylor expansion of 2.0 in im 1.519 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.519 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.519 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.519 * [taylor]: Taking taylor expansion of -1 in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.519 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.519 * [taylor]: Taking taylor expansion of -1 in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.519 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.519 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.519 * [taylor]: Taking taylor expansion of -1 in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.519 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.519 * [taylor]: Taking taylor expansion of -1 in im 1.520 * [taylor]: Taking taylor expansion of im in im 1.522 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.522 * [taylor]: Taking taylor expansion of re in im 1.524 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.524 * [taylor]: Taking taylor expansion of 2.0 in re 1.524 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.525 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.525 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.525 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.525 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.525 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.525 * [taylor]: Taking taylor expansion of -1 in re 1.525 * [taylor]: Taking taylor expansion of re in re 1.525 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.525 * [taylor]: Taking taylor expansion of -1 in re 1.525 * [taylor]: Taking taylor expansion of re in re 1.525 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.525 * [taylor]: Taking taylor expansion of -1 in re 1.525 * [taylor]: Taking taylor expansion of im in re 1.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.526 * [taylor]: Taking taylor expansion of -1 in re 1.526 * [taylor]: Taking taylor expansion of im in re 1.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.528 * [taylor]: Taking taylor expansion of re in re 1.534 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.534 * [taylor]: Taking taylor expansion of 2.0 in re 1.534 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.534 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.534 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.535 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.535 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.535 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.535 * [taylor]: Taking taylor expansion of -1 in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.535 * [taylor]: Taking taylor expansion of -1 in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.535 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.535 * [taylor]: Taking taylor expansion of -1 in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.535 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.535 * [taylor]: Taking taylor expansion of -1 in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.538 * [taylor]: Taking taylor expansion of re in re 1.544 * [taylor]: Taking taylor expansion of 0 in im 1.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.545 * [taylor]: Taking taylor expansion of +nan.0 in im 1.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.545 * [taylor]: Taking taylor expansion of 2.0 in im 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.553 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.553 * [taylor]: Taking taylor expansion of +nan.0 in im 1.553 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.553 * [taylor]: Taking taylor expansion of 2.0 in im 1.554 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.554 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.571 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.571 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.571 * [taylor]: Taking taylor expansion of +nan.0 in im 1.571 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.571 * [taylor]: Taking taylor expansion of 2.0 in im 1.571 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.572 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.572 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.572 * [taylor]: Taking taylor expansion of +nan.0 in im 1.572 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.572 * [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 (pow im 6) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.602 * * * [progress]: simplifying candidates 1.604 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (log1p (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (+ (* 1 (hypot re im)) re) (+ (* 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(hypot re im)) re)) (sqrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (* (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (* (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* 1 (hypot re im)) re))) (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re))) (* (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))))) (* (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* 1 1) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 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(+ (* 1 (hypot re im)) re))))))) (cbrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (pow (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))))) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (- (* 1 (hypot re im)) re))) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (- (* 1 (hypot re im)) re))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (sqrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 1.652 * * * [progress]: adding candidates to table 1.967 * * [progress]: iteration 4 / 4 1.967 * * * [progress]: picking best candidate 1.987 * * * * [pick]: Picked # 1.987 * * * [progress]: localizing error 2.009 * * * [progress]: generating rewritten candidates 2.009 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.012 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1) 2.015 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 2.018 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1) 2.021 * * * [progress]: generating series expansions 2.022 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 2.022 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.022 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.022 * [taylor]: Taking taylor expansion of re in im 2.022 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.022 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.022 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.022 * [taylor]: Taking taylor expansion of (* re re) in im 2.022 * [taylor]: Taking taylor expansion of re in im 2.022 * [taylor]: Taking taylor expansion of re in im 2.022 * [taylor]: Taking taylor expansion of (* im im) in im 2.022 * [taylor]: Taking taylor expansion of im in im 2.022 * [taylor]: Taking taylor expansion of im in im 2.024 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.024 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.024 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.024 * [taylor]: Taking taylor expansion of (* re re) in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [taylor]: Taking taylor expansion of (* im im) in re 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [taylor]: Taking taylor expansion of im in re 2.025 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.025 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.025 * [taylor]: Taking taylor expansion of (* re re) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (* im im) in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of 1 in im 2.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.029 * [taylor]: Taking taylor expansion of 1/2 in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.031 * [taylor]: Taking taylor expansion of 0 in im 2.032 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.033 * [taylor]: Taking taylor expansion of re in im 2.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.033 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.033 * [taylor]: Taking taylor expansion of re in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.033 * [taylor]: Taking taylor expansion of re in im 2.033 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.033 * [taylor]: Taking taylor expansion of im in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.033 * [taylor]: Taking taylor expansion of im in im 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.036 * [taylor]: Taking taylor expansion of re in re 2.036 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.036 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.036 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.036 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.036 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.037 * [taylor]: Taking taylor expansion of im in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.037 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.040 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.040 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.040 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.040 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.041 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.041 * [taylor]: Taking taylor expansion of im in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.041 * [taylor]: Taking taylor expansion of im in re 2.044 * [taylor]: Taking taylor expansion of 2 in im 2.044 * [taylor]: Taking taylor expansion of 0 in im 2.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.047 * [taylor]: Taking taylor expansion of 1/2 in im 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.047 * [taylor]: Taking taylor expansion of im in im 2.052 * [taylor]: Taking taylor expansion of 0 in im 2.054 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.054 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.054 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.054 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.054 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.054 * [taylor]: Taking taylor expansion of -1 in im 2.054 * [taylor]: Taking taylor expansion of re in im 2.054 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.054 * [taylor]: Taking taylor expansion of -1 in im 2.054 * [taylor]: Taking taylor expansion of re in im 2.054 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.054 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.054 * [taylor]: Taking taylor expansion of -1 in im 2.054 * [taylor]: Taking taylor expansion of im in im 2.054 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.054 * [taylor]: Taking taylor expansion of -1 in im 2.054 * [taylor]: Taking taylor expansion of im in im 2.057 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.057 * [taylor]: Taking taylor expansion of re in im 2.057 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.058 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.058 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [taylor]: Taking taylor expansion of im in re 2.061 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.061 * [taylor]: Taking taylor expansion of re in re 2.061 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.061 * [taylor]: Taking taylor expansion of -1 in re 2.061 * [taylor]: Taking taylor expansion of re in re 2.062 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.062 * [taylor]: Taking taylor expansion of -1 in re 2.062 * [taylor]: Taking taylor expansion of re in re 2.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.062 * [taylor]: Taking taylor expansion of -1 in re 2.062 * [taylor]: Taking taylor expansion of im in re 2.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.062 * [taylor]: Taking taylor expansion of -1 in re 2.062 * [taylor]: Taking taylor expansion of im in re 2.065 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.065 * [taylor]: Taking taylor expansion of re in re 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.070 * [taylor]: Taking taylor expansion of 1/2 in im 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.070 * [taylor]: Taking taylor expansion of im in im 2.075 * [taylor]: Taking taylor expansion of 0 in im 2.077 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1) 2.077 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.077 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.077 * [taylor]: Taking taylor expansion of re in im 2.077 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.077 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.077 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.077 * [taylor]: Taking taylor expansion of (* re re) in im 2.077 * [taylor]: Taking taylor expansion of re in im 2.077 * [taylor]: Taking taylor expansion of re in im 2.077 * [taylor]: Taking taylor expansion of (* im im) in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.078 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.078 * [taylor]: Taking taylor expansion of re in re 2.078 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.078 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.078 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.078 * [taylor]: Taking taylor expansion of (* re re) in re 2.078 * [taylor]: Taking taylor expansion of re in re 2.078 * [taylor]: Taking taylor expansion of re in re 2.078 * [taylor]: Taking taylor expansion of (* im im) in re 2.078 * [taylor]: Taking taylor expansion of im in re 2.078 * [taylor]: Taking taylor expansion of im in re 2.080 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.080 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.080 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.080 * [taylor]: Taking taylor expansion of (* re re) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (* im im) in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.085 * [taylor]: Taking taylor expansion of im in re 2.087 * [taylor]: Taking taylor expansion of im in im 2.087 * [taylor]: Taking taylor expansion of 1 in im 2.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.089 * [taylor]: Taking taylor expansion of 1/2 in im 2.089 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.089 * [taylor]: Taking taylor expansion of im in im 2.092 * [taylor]: Taking taylor expansion of 0 in im 2.093 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.093 * [taylor]: Taking taylor expansion of re in im 2.093 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.093 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.093 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.093 * [taylor]: Taking taylor expansion of re in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.093 * [taylor]: Taking taylor expansion of re in im 2.093 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.093 * [taylor]: Taking taylor expansion of im in im 2.094 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.094 * [taylor]: Taking taylor expansion of im in im 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.097 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.097 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.097 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.097 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.100 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.100 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.100 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.101 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.101 * [taylor]: Taking taylor expansion of re in re 2.101 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.101 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.101 * [taylor]: Taking taylor expansion of im in re 2.101 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.101 * [taylor]: Taking taylor expansion of im in re 2.104 * [taylor]: Taking taylor expansion of 2 in im 2.105 * [taylor]: Taking taylor expansion of 0 in im 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.108 * [taylor]: Taking taylor expansion of 1/2 in im 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.108 * [taylor]: Taking taylor expansion of im in im 2.112 * [taylor]: Taking taylor expansion of 0 in im 2.114 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.114 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.114 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.114 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.114 * [taylor]: Taking taylor expansion of -1 in im 2.114 * [taylor]: Taking taylor expansion of re in im 2.114 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.114 * [taylor]: Taking taylor expansion of -1 in im 2.114 * [taylor]: Taking taylor expansion of re in im 2.114 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.114 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.114 * [taylor]: Taking taylor expansion of -1 in im 2.114 * [taylor]: Taking taylor expansion of im in im 2.115 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.115 * [taylor]: Taking taylor expansion of -1 in im 2.115 * [taylor]: Taking taylor expansion of im in im 2.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.117 * [taylor]: Taking taylor expansion of re in im 2.117 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.117 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.118 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.118 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of re in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of re in re 2.118 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of im in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of im in re 2.121 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.121 * [taylor]: Taking taylor expansion of re in re 2.122 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.122 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.122 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.122 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.122 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [taylor]: Taking taylor expansion of re in re 2.122 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [taylor]: Taking taylor expansion of re in re 2.122 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [taylor]: Taking taylor expansion of im in re 2.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [taylor]: Taking taylor expansion of im in re 2.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.125 * [taylor]: Taking taylor expansion of re in re 2.126 * [taylor]: Taking taylor expansion of 0 in im 2.127 * [taylor]: Taking taylor expansion of 0 in im 2.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.130 * [taylor]: Taking taylor expansion of 1/2 in im 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.130 * [taylor]: Taking taylor expansion of im in im 2.135 * [taylor]: Taking taylor expansion of 0 in im 2.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1) 2.137 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.137 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.137 * [taylor]: Taking taylor expansion of re in im 2.137 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.137 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.137 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.137 * [taylor]: Taking taylor expansion of (* re re) in im 2.137 * [taylor]: Taking taylor expansion of re in im 2.137 * [taylor]: Taking taylor expansion of re in im 2.137 * [taylor]: Taking taylor expansion of (* im im) in im 2.137 * [taylor]: Taking taylor expansion of im in im 2.137 * [taylor]: Taking taylor expansion of im in im 2.138 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.138 * [taylor]: Taking taylor expansion of (* re re) in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of (* im im) in re 2.138 * [taylor]: Taking taylor expansion of im in re 2.138 * [taylor]: Taking taylor expansion of im in re 2.139 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.140 * [taylor]: Taking taylor expansion of re in re 2.140 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.140 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.140 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.140 * [taylor]: Taking taylor expansion of (* re re) in re 2.140 * [taylor]: Taking taylor expansion of re in re 2.140 * [taylor]: Taking taylor expansion of re in re 2.140 * [taylor]: Taking taylor expansion of (* im im) in re 2.140 * [taylor]: Taking taylor expansion of im in re 2.140 * [taylor]: Taking taylor expansion of im in re 2.141 * [taylor]: Taking taylor expansion of im in im 2.141 * [taylor]: Taking taylor expansion of 1 in im 2.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.143 * [taylor]: Taking taylor expansion of 1/2 in im 2.143 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.143 * [taylor]: Taking taylor expansion of im in im 2.145 * [taylor]: Taking taylor expansion of 0 in im 2.147 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.147 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.147 * [taylor]: Taking taylor expansion of im in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.147 * [taylor]: Taking taylor expansion of im in im 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.150 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.151 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.151 * [taylor]: Taking taylor expansion of im in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.151 * [taylor]: Taking taylor expansion of im in re 2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.154 * [taylor]: Taking taylor expansion of re in re 2.154 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.154 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.154 * [taylor]: Taking taylor expansion of re in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.154 * [taylor]: Taking taylor expansion of re in re 2.155 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.155 * [taylor]: Taking taylor expansion of im in re 2.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.155 * [taylor]: Taking taylor expansion of im in re 2.158 * [taylor]: Taking taylor expansion of 2 in im 2.158 * [taylor]: Taking taylor expansion of 0 in im 2.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.161 * [taylor]: Taking taylor expansion of 1/2 in im 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.162 * [taylor]: Taking taylor expansion of im in im 2.166 * [taylor]: Taking taylor expansion of 0 in im 2.173 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.173 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.173 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.174 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.174 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.174 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.174 * [taylor]: Taking taylor expansion of -1 in im 2.174 * [taylor]: Taking taylor expansion of re in im 2.174 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.174 * [taylor]: Taking taylor expansion of -1 in im 2.174 * [taylor]: Taking taylor expansion of re in im 2.174 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.174 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.174 * [taylor]: Taking taylor expansion of -1 in im 2.174 * [taylor]: Taking taylor expansion of im in im 2.174 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.174 * [taylor]: Taking taylor expansion of -1 in im 2.174 * [taylor]: Taking taylor expansion of im in im 2.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.177 * [taylor]: Taking taylor expansion of re in im 2.177 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.177 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.177 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.177 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.177 * [taylor]: Taking taylor expansion of -1 in re 2.177 * [taylor]: Taking taylor expansion of re in re 2.178 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.178 * [taylor]: Taking taylor expansion of -1 in re 2.178 * [taylor]: Taking taylor expansion of re in re 2.178 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.178 * [taylor]: Taking taylor expansion of -1 in re 2.178 * [taylor]: Taking taylor expansion of im in re 2.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.178 * [taylor]: Taking taylor expansion of -1 in re 2.178 * [taylor]: Taking taylor expansion of im in re 2.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.181 * [taylor]: Taking taylor expansion of re in re 2.181 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.181 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.181 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.181 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.181 * [taylor]: Taking taylor expansion of -1 in re 2.181 * [taylor]: Taking taylor expansion of re in re 2.181 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.181 * [taylor]: Taking taylor expansion of -1 in re 2.182 * [taylor]: Taking taylor expansion of re in re 2.182 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.182 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.182 * [taylor]: Taking taylor expansion of -1 in re 2.182 * [taylor]: Taking taylor expansion of im in re 2.182 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.182 * [taylor]: Taking taylor expansion of -1 in re 2.182 * [taylor]: Taking taylor expansion of im in re 2.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.185 * [taylor]: Taking taylor expansion of re in re 2.185 * [taylor]: Taking taylor expansion of 0 in im 2.186 * [taylor]: Taking taylor expansion of 0 in im 2.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.190 * [taylor]: Taking taylor expansion of 1/2 in im 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.190 * [taylor]: Taking taylor expansion of im in im 2.195 * [taylor]: Taking taylor expansion of 0 in im 2.196 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1) 2.196 * [approximate]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in (re im) around 0 2.196 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 2.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 2.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 2.196 * [taylor]: Taking taylor expansion of 1/3 in im 2.196 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.196 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.196 * [taylor]: Taking taylor expansion of re in im 2.196 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.197 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.197 * [taylor]: Taking taylor expansion of (* re re) in im 2.197 * [taylor]: Taking taylor expansion of re in im 2.197 * [taylor]: Taking taylor expansion of re in im 2.197 * [taylor]: Taking taylor expansion of (* im im) in im 2.197 * [taylor]: Taking taylor expansion of im in im 2.197 * [taylor]: Taking taylor expansion of im in im 2.198 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 2.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 2.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 2.198 * [taylor]: Taking taylor expansion of 1/3 in re 2.198 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.198 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.198 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.198 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.198 * [taylor]: Taking taylor expansion of (* re re) in re 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [taylor]: Taking taylor expansion of (* im im) in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.199 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 2.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 2.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 2.200 * [taylor]: Taking taylor expansion of 1/3 in re 2.200 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.200 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.200 * [taylor]: Taking taylor expansion of re in re 2.200 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.200 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.200 * [taylor]: Taking taylor expansion of (* re re) in re 2.200 * [taylor]: Taking taylor expansion of re in re 2.200 * [taylor]: Taking taylor expansion of re in re 2.200 * [taylor]: Taking taylor expansion of (* im im) in re 2.200 * [taylor]: Taking taylor expansion of im in re 2.200 * [taylor]: Taking taylor expansion of im in re 2.201 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.201 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.201 * [taylor]: Taking taylor expansion of 1/3 in im 2.201 * [taylor]: Taking taylor expansion of (log im) in im 2.201 * [taylor]: Taking taylor expansion of im in im 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 2.203 * [taylor]: Taking taylor expansion of 1/3 in im 2.203 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 2.203 * [taylor]: Taking taylor expansion of 1/3 in im 2.203 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.203 * [taylor]: Taking taylor expansion of im in im 2.209 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 2.209 * [taylor]: Taking taylor expansion of 1/18 in im 2.209 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.209 * [taylor]: Taking taylor expansion of 1/3 in im 2.209 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.209 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.209 * [taylor]: Taking taylor expansion of im in im 2.212 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in (re im) around 0 2.212 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 2.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 2.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 2.212 * [taylor]: Taking taylor expansion of 1/3 in im 2.212 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.212 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.212 * [taylor]: Taking taylor expansion of re in im 2.212 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.212 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.212 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.212 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.212 * [taylor]: Taking taylor expansion of re in im 2.212 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.212 * [taylor]: Taking taylor expansion of re in im 2.212 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.212 * [taylor]: Taking taylor expansion of im in im 2.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.212 * [taylor]: Taking taylor expansion of im in im 2.216 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 2.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 2.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.216 * [taylor]: Taking taylor expansion of 1/3 in re 2.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.216 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.216 * [taylor]: Taking taylor expansion of re in re 2.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.216 * [taylor]: Taking taylor expansion of re in re 2.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.217 * [taylor]: Taking taylor expansion of re in re 2.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.217 * [taylor]: Taking taylor expansion of im in re 2.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.217 * [taylor]: Taking taylor expansion of im in re 2.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 2.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 2.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.221 * [taylor]: Taking taylor expansion of 1/3 in re 2.221 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.222 * [taylor]: Taking taylor expansion of re in re 2.222 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.222 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.222 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.222 * [taylor]: Taking taylor expansion of re in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.222 * [taylor]: Taking taylor expansion of re in re 2.223 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.223 * [taylor]: Taking taylor expansion of im in re 2.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.223 * [taylor]: Taking taylor expansion of im in re 2.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.227 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.227 * [taylor]: Taking taylor expansion of 1/3 in im 2.227 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.227 * [taylor]: Taking taylor expansion of (log 2) in im 2.227 * [taylor]: Taking taylor expansion of 2 in im 2.227 * [taylor]: Taking taylor expansion of (log re) in im 2.227 * [taylor]: Taking taylor expansion of re in im 2.232 * [taylor]: Taking taylor expansion of 0 in im 2.241 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 2.241 * [taylor]: Taking taylor expansion of 1/12 in im 2.241 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.241 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.241 * [taylor]: Taking taylor expansion of 1/3 in im 2.241 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.241 * [taylor]: Taking taylor expansion of (log 2) in im 2.241 * [taylor]: Taking taylor expansion of 2 in im 2.241 * [taylor]: Taking taylor expansion of (log re) in im 2.241 * [taylor]: Taking taylor expansion of re in im 2.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.242 * [taylor]: Taking taylor expansion of im in im 2.272 * [taylor]: Taking taylor expansion of 0 in im 2.273 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 2.273 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 2.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.273 * [taylor]: Taking taylor expansion of 1/3 in im 2.273 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.273 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.273 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 2.273 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.273 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.273 * [taylor]: Taking taylor expansion of -1 in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.273 * [taylor]: Taking taylor expansion of -1 in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.273 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.273 * [taylor]: Taking taylor expansion of -1 in im 2.273 * [taylor]: Taking taylor expansion of im in im 2.274 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.274 * [taylor]: Taking taylor expansion of -1 in im 2.274 * [taylor]: Taking taylor expansion of im in im 2.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.277 * [taylor]: Taking taylor expansion of re in im 2.277 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 2.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.278 * [taylor]: Taking taylor expansion of 1/3 in re 2.278 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.278 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.278 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.278 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.278 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.278 * [taylor]: Taking taylor expansion of -1 in re 2.278 * [taylor]: Taking taylor expansion of re in re 2.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.278 * [taylor]: Taking taylor expansion of -1 in re 2.278 * [taylor]: Taking taylor expansion of re in re 2.278 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.278 * [taylor]: Taking taylor expansion of -1 in re 2.278 * [taylor]: Taking taylor expansion of im in re 2.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.279 * [taylor]: Taking taylor expansion of -1 in re 2.279 * [taylor]: Taking taylor expansion of im in re 2.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.282 * [taylor]: Taking taylor expansion of re in re 2.287 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 2.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.287 * [taylor]: Taking taylor expansion of 1/3 in re 2.287 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.287 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.287 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.287 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.287 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.287 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.288 * [taylor]: Taking taylor expansion of -1 in re 2.288 * [taylor]: Taking taylor expansion of re in re 2.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.288 * [taylor]: Taking taylor expansion of -1 in re 2.288 * [taylor]: Taking taylor expansion of re in re 2.288 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.288 * [taylor]: Taking taylor expansion of -1 in re 2.288 * [taylor]: Taking taylor expansion of im in re 2.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.288 * [taylor]: Taking taylor expansion of -1 in re 2.288 * [taylor]: Taking taylor expansion of im in re 2.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.291 * [taylor]: Taking taylor expansion of re in re 2.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.296 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.296 * [taylor]: Taking taylor expansion of 1/3 in im 2.297 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.297 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.297 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.297 * [taylor]: Taking taylor expansion of 1/2 in im 2.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.297 * [taylor]: Taking taylor expansion of im in im 2.297 * [taylor]: Taking taylor expansion of (log re) in im 2.297 * [taylor]: Taking taylor expansion of re in im 2.305 * [taylor]: Taking taylor expansion of 0 in im 2.315 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.315 * [taylor]: Taking taylor expansion of -1/12 in im 2.315 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.315 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.315 * [taylor]: Taking taylor expansion of 1/3 in im 2.315 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.315 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.315 * [taylor]: Taking taylor expansion of 1/2 in im 2.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.315 * [taylor]: Taking taylor expansion of im in im 2.316 * [taylor]: Taking taylor expansion of (log re) in im 2.316 * [taylor]: Taking taylor expansion of re in im 2.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.317 * [taylor]: Taking taylor expansion of im in im 2.345 * [taylor]: Taking taylor expansion of 0 in im 2.346 * * * [progress]: simplifying candidates 2.353 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (cbrt (+ (* 1 (hypot re im)) re))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (cbrt (+ (* 1 (hypot re im)) re))) (exp (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt 1) (cbrt (+ (* 1 (hypot re im)) re)) (cbrt 1) (cbrt (+ (hypot re im) re)) (cbrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (cbrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (cbrt (- (* 1 (hypot re im)) re)) (* (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (* (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (+ 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)))))) 2.357 * * [simplify]: iteration 0 : 249 enodes (cost 335 ) 2.361 * * [simplify]: iteration 1 : 601 enodes (cost 305 ) 2.372 * * [simplify]: iteration 2 : 2495 enodes (cost 302 ) 2.416 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 2.418 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (cbrt (+ (* 1 (hypot re im)) re))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (cbrt (+ (* 1 (hypot re im)) re))) (exp (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) 1 (cbrt (+ (hypot re im) re)) 1 (cbrt (+ (hypot re im) re)) (cbrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (cbrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (cbrt (- (* 1 (hypot re im)) re)) (* (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (fma 1 (hypot re im) re) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (+ 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)))))) 2.418 * * * [progress]: adding candidates to table 2.769 * [progress]: [Phase 3 of 3] Extracting. 2.769 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.772 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.772 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 2.825 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 2.868 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 2.917 * * * [regime]: Found split indices: #